GIFT OF Lick Observatory LICK OBSERVATORY, REDUCTION OF THE OBSERVATIONS OF THE MOON, MADE AT THE ROYAL OBSERVATORY, GREENWICH, FROM 1750 TO 1830: COMPUTED BY OEDEE OF THE LOEDS COMMISSIONEES OF THE TEEASUEY, UNDER THE SUPERINTENDANCE OF GEORGE BIDDELL AIRY, ESQ. M.A. ASTRONOMER ROYAL. , __ __ , VOLUME II. CONTAINING INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. PUBLISHED BY ORDER OF THE LORDS COMMISSIONERS OF THE ADMIRALTY. PRINTED BY PALMER AND CLAYTON, CRANE COURT, FLEET STREET, AND SOLD BY J. MURRAY, ALBEMARLE STREET. M.DCCC.XLVIH. LIBRARY OF THE Ti'B flTiPV rf P A T TTPnU^TA .1, X. ? - J ROYAL OBSERVATORY, GREENWICH. REDUCTION OP OBSERVATIONS OF THE MOON, From 1750 to 1830. SECTION II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. ^ 09 THE 4^ S&1701 GREKXWICH LUNAR REDUCTIONS. (B) (2) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.2S'. 1750. Sep. 13 (Kern Sl,fc.; n Moon's L. L Moon's U. L. ... Q t If 63. 6. 27-00 38. 23. 21-50 in. 30-05 30-00 53-50 53-50 / t 1.53-78 0.45-83 ft 14-77 - 13-46 / a 59. 46-39 60. 58-38 ' * 53. 7-73 37. 38-43 0-38 + 0-52 o / // 100.46.18-30 76.17.36-36 O / it 100. 29. 57-52 76. 34. 16-87 17-46 17-45 19 Moon's U. L. ... 30. 9.59-75 29-80 52-75 0. 33-46 12-13 59. 48-62 29. 49-98 +0-79 68. 11.52-29 69. 28. 13-69 17-43 23 Moon's L. L. ... 32. 30. 35-00 29-38 47-25 0.36-58 -12-51 56. 32-05 30. 10-51 + 0-71 70.32. 9-67 70.16.42-17 17-39 24 Moon's L. L. ... 36. 3. 16-00 29'63 60-25 0.41-03 13-09 55. 52-27 32. 40-69 -r-0-55 74. 2.24-20 73.47. 7-60 17-38 Oct. 10 Moon's L. L. ... 65. 26. 36-50 30-13 54-75 2. 6-11 15-13 58. 35-40 53. 7-16 0-49 103. 6. 40-23 102. 50. 38-90 17-13 12 Moon's L. L. ... 54. 13. 37-00 30-13 48-75 1.21-29 14-35 60. 25-50 48.49-51 0-08 91.57.14-75 91.40.43-25 17-09 13 Moon's L. L. ... 48. 1.11-25 30-11 46-75 1. 5-37 14-33 61. 4-02 45.11-04 + 0-20 85.48.11-85 85.31.29-79 17-06 14 Moon's L. L. ... 41.58.34-50 30-17 39-75 0. 53-82 -13-87 61. 24-37 40. 50-98 + 0-38 79. 49. 44-25 79. 32. 56-62 17-04 15 Moon's U. L. ... 36. 1. 39-00 30-01 39-75 0. 43-29 13-08 61. 23-20 35. 52-78 + 0-54 73. 57. 37-37 74. 14.24-69 17-02 17 Moon's U. L. ... 29. 9.41-50 29-83 39-75 0. 33-03 11-92 60. 19-95 29. 10-47 + 0-84 67. 12. 13-38 67. 28. 43-36 16-98 Nor. 4 Moon's L. L. ... 73. 43. 48-00 29-58 34-75 3. 20-63 18-49 55. 51-52 53. 28-73 0-77 111.24.41-04 111. 9.24-64 16-48 5 Moon's L. L. ... 70. 53. 22-00 29-52 30-75 2. 50-74 16-96 56. 32-35 53. 16-29 0-64 108. 33. 59-25 108. 18. 31-66 16-45 6 Moon's L. L. ... 67. 0.14-00 29-61 32-00 2. 19-88 15-59 57. 19-39 52. 36-25 0-54 104.41. 1-90 104.25.21-39 16-42 7 Moon's L. L. ... 62. 13. 59-00 29-27 37-50 1. 50-40 14-66 58. 10-74 51. 18-15 0-34 9 a in. / U H / // / // // O / /' O t II // Apr. 10 Moon's U. L. () . . 64.51.39-50 29-10 40-75 2. 2-18 14-97 54. 10-53 48. 52-86 102. 35. 50-09 102. 50. 38-80 15-36 11 Moon's L. L. ... 69. 0. 7-00 29-36 36-75 2.31-61 -16-21 54. 2-01 50. 17-74 0-56 106. 43. 24-50 106.28.38-12 15-34 20 Moon's U.L. ... 58.31. 1-00 29-75 48-00 1. 34-49 14-38 58. 23-05 49. 36-06 0-27 96. 14. 5-18 96.30. 3-12 15-10 May 2 Moon's U.L. ... 40. 13. 18-50 29-29 51-75 0. 47-93 13-72 56. 47 63 36 28-02 4-0-44 78. 8. 45-53 78. 24. 17-31 14-78 3 Moon's U. L. ... 44. 53. 45-00 29-30 52-75 0. 56-35 14-16 56. 0-79 39. 20-07 + 0-27 82. 46. 27-79 83. 1. 46-73 14-75 4 Moon's U.L. ... 49.45. 19-50 29-35 52-75 1. 6-90 14-41 55.21-64 42. 3-83 + 0-09 87 35.28-65 87. 50. 36-85 1472 5 Moon's U. L. ... 54.36.21-50 29-40 52-75 1. 19-77 14-34 54. 50-32 44.31-19 o-n 92.24.16-03 92. 39. 15-64 14-69 12 Moon's L. L. ... 74. 56. 54-00 29-50 51-75 3. 29-03 19-08 54. 20-38 52. 20-05 0-82 112.39. 3-48 112.24. 12-07 14-49 14 Moon's U. L. ... 71.42.42-00 29-08 40-75 2. 52-46 17-45 55. 7-84 52. 1 1-75 0-70 109.24.24-96 109. 39. 29-37 14-43 16 Moon's U. L. ... 64.58. 9-00 29-60 40-25 2. 5-02 14-99 56. 23-89 50. 55-92 0-49 102.40.23-02 102.55.48-29 1437 17 Moon's U. L. ... 60.24.13-00 2971 40-25 1.43-34 14-46 57. 12-23 49. 33-55 -0-28 98. 7.28-45 98.23. 697 1434 19 Moon's U. L. ... 49.47. 4-00 29-98 42-75 I. 983 14-41 59 0-67 44. 51-46 + 0-09 87. 34. 28-45 87. 50. 36-70 14-28 20 Moon's U.L. ... 44. 13. 51-50 29-82 48-75 0. 56-50 14-09 59. 53-20 41. 33-56 + 0-27 8-2. 4.21-02 8-2. 20. 43-67 14-26 30 Moon's U. L. ... 43. 1 1 . 20-50 30-27 52-75 0. 54-85 13-98 56. 58-65 38. 47-42 + 0-29 81. 4.34-64 81.20. 9-44 1403 31 Moon's U. L. ... 48. 6. 18-00 30-30 55-75 1., 4-78 14-34 56. 6-75 41.34-29 + 0-18 85.56.54-73 86. 12. 15-31 14-01 June 1 Moon's U. L. ... 53. 2.23-50 30-28 49-75 1.18-08 14-36 55. 22-72 44. 3-77 0-04 90.50.43-81 91. 5.52-30 13-99 4 Moon's U. L. ... 66. 14. 35-00 29-99 59-75 2. 9-01 15-35 54. 7-25 49. 22-48 0-54 103. 58. 26-04 104. 13. 13-85 13-94 6 Moon's U. L. ... 72.11.21-50 29-98 54-00 2. 57-82 17-68 53. 59-97 51. 15-92 0-72 109.54. 5-40 110. 8.51-2-2 13-90 12 Moon's U. L. ... 66. 13. 38-00 29-93 62-75 2. 7-89 15-35 55. 58-26 51. 3-38 0-54 103. 55. 47-02 104.11. 5-27 13-79 13 Moon's U. L. ... 61.54.23-00 30-05 54-00 1.48-05 14-63 56. 33-97 49. 43-51 036 99. 37. 32-95 99.53. 0-99 13-78 14 Moon's U.L. ... 57. 0. 34-00 30-25 65-00 1.27-60 14-35 57. 13-88 47. 48-94 0-23 94. 45. 18-48 95. 0.57-45 13-77 15 Moon's U. L. ... 51.44.19-00 29-98 66-75 1.11-29 14-39 57. 56-97 45. 18-17 +0-01 89.31. 18-14 89.47. 8-92 13-75 17 Moon's U. L. ... 41. 5.29-50 29-87 66-25 0. 48-95 13-80 59. 25-07 38. 50-21 + 0-39 78. 58. 35-23 79. 14.50-16 13-72 18 Moon's U. L. (").. 36. 21.20-00 29-91 64-75 0.41-50 13-14 60. 3-27 35. 22-70 + 0-54 74. 17.46-60 74. 34. 12 03 13-70 28 Moon's U. L. ... 51. 1. 5-50 29-63 62-00 1. 9-32 14-40 56. 13-94 43.'31-08 + 0-04 88.49.49-78 89. 5.12-32 13-63 July 4 Moon's U.L. ... 73. 20. 42-50 29-89 52-75 3. 10-56 18-29 54. 9-95 51.44-98 0-78 111. 3. 9-41 111. 17. 57-96 13-62 5 Moon's U.L. ... 74.22.10-00 29-85 54-75 3. 22-27 18-80 54.21-80 52. 12-66 0-82 112. 4.20-39 11-2. 19. 1-2-19 13-62 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the' time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (*) Observed at Transit of Center. Correction applied for defective illumination, 4" '16. Increase of N.P. D. during passage of Semidiameter = +9"' 82. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( b ) In Dr. Bradley's MS. observations, the reading by " Interior Divisions " has been altered from 20" to 50", to make it agree with the reading by " Exterior Divisions ;" here, the unaltered reading by " Interior Divisions" is used. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (5) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.2fc'. 1751. O ' II in. o / // a / // / // II O 1 II O t II n July 6 Moon's TJ. L. ... 74.18.13-50 29-80 57-75 3. 19-83 -18-75 54. 40-08 52.29-19 0-82 112. 0. 4-97 112.15. 1-78 13-62 8 Moon's LT. L. ... 70. 48. 52-00 29-81 64-75 2. 40-03 16-92 55. 30-46 52. 16-25 0-66 108. 30. 18-60 108. 45. 29-22 13-62 11 Moon's U. L. ... 58. 37. 36-00 29-40 58-75 1.31-75 14-38 57. 3-10 48.31-55 0-27 96.21.41-95 96. 37. 17 97 13-62 17 Moon's TJ. L. ... 30.58. 8-50 29-80 67-75 0. 33-52 12-26 59. 50-99 30. 34-46 + 0-76 68. 59. 16-46 69. 15. 38-50 1364 27 Moon's U. L. ... 58.34. 5-00 29-26 63-25 1.30-28 14-38 55.29-10 47. 9-80 0-27 96. 19.31-23 96.34.41-48 13-72 Aug. 3 Moon's L. L. ... 74. 8.26-00 29-50 65-75 3. 12-59 19-03 55. 1-20 52.47-11 0-79 111.49.52-06 111.34.49-46 13-78 4 Moon's U. L. ('). . 71.48. 1-50 29-55 56-75 2. 50-37 17-50 55. 31-73 52. 35-99 071 109. 29. 18-07 109. 44. 29-04 1379 5 Moon's U. L. ... 68. 53. 39-25 29-75 57-75 2. 26-26 16-18 56. 6-00 52. 10-61 0-58 106. 34. 58-63 106. 50. 19-00 13-80 8 Moon's U. L. ... 55. 19. 33-50 29-95 57-75 1.22-61 14-34 57. 48-42 47. 20-88 0-15 93. 4.41-14 93. 20. 29-58 13-84 11 Moon's U. L. ... 39. 34. 44-00 29-76 47-75 0. 47-99 13-63 58. 57-53 37. 20-97 4-0-46 77. 29. 18-25 77. 45. 25-63 13-87 13 Moon's U. L. ... 31.57. 8-00 29-49 62-25 0. 34-86 12-43 59.18-29 31. 9-86 + 0-71 69.57.41-68 70. 13. 54-76 1389 14 Moon's U. L. ... 29.58. 8-50 29-49 62-25 0. 32-23 12-09 59. 20-96 29. 25-55 + 0-80 68. 0.24-29 68. 16.38-10 13-90 16 Moon's U. L. ("). . 30.35. 1-20 29-91 60-25 0. 33-63 12-19 59. 7-09 29. 51-55 + 0-77 68. 36. 54-26 68.53. 229 13-92 26 Moon's U. L. ( c ). . 68.41.38-40 30-08 65-75 2.24-03 16-12 54. 26-93 50. 34-30 -0-57 106. 24. 31-84 106. 39. 25-07 14-00 30 Moon's U. L. ... 73.52 14-25 29-54 53-75 3. 14-26 18-56 54. 43-51 52.25-61 0-80 111.34. 3-94 111.49. 1-69 1402 Sep. 2 Moon's L. L. ... 67. 16. 6-50 29-93 57-25 2. 15-87 15-68 56.34-13 52. 0-81 0-54 104. 57. 25-74 104. 41. 57-66 1403 3 Moon's L. L. ... 63. 0. 46-00 30-14 52-25 1.53-96 14-75 57. 18-74 50. 53-93 -0-38 100.42.51-30 100.27. ll'OO 1403 5 Moon's U. L. ( d ). . 52. 11. 17-75 30-09 52-25 1. 14-86 14-39 58. 39-93 46. 8-85 89. 57. 29-77 90. 13. 32-34 1404 6 Moon's U. L. ... 46. 42. 10-75 30-06 55-25 1. 1-25 - 14-27 59. 9-87 42. 51-05 + 0-24 84.31.27-32 84. 47. 38-09 14-04 7 Moon's TJ. L. ... 41.26.37-50 29-93 55-25 0. 50-77 13-82 59. 29-80 39. 9-83 + 0-38 79. 19. 25-40 79. 35. 41-63 14-05 8 Moon's U. L. ... 36.46.51-00 29-96 47-75 0. 43-70 13-20 59. 38-94 35.29-73 + 0-54 74. 43. 12-71 74.59.31-45 1405 13 Moon's L. L. (') . . 32. 52. 4 1-60 29-70 4475 0. 37 69 12-56 58.29-15 31. 32-01 + 0-70 70. 52. 55-82 70. 36. 56-21 14-03 29 Moon's L. L. ... 68. 43 14-50 29-69 55-25 2. 25-42 16-13 55. 54-60 51.5654 0-54 106.24.47-11 106. 9.29-87 13-91 Oct. 1 Moon's L. L. ... (30. 24. 24-00 29-22 54-75 1.38-66 14-46 57. 37-37 49. 55-59 0-27 98. 7. 12-74 97.51.27-33 1387 2 Moon's L. L. ... 55. 17.30-00 29-63 46-75 1. 23-48 14-34 58. 30-71 47. 54-50 0-12 93. 2. 4-92 92.46. 4-89 13-86 3 Moon's L. L. ... 49.51. 200 29-94 45-50 1. 9-50 14-41 59. 19-34 45. 8-44 -I-0-12 87.38. 9-17 87.21.55-81 13-84 7 Moon's TJ. L. ... 31. 35. 9-00 29-85 43-75 0.36-11 12-27 60. 24-14 31.24-78 -i-0-72 69.35.29-18 69.52. 0-30 13-77 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20'' '40. (*) Barometer and Thermometer taken from a MS. of Dr. Bradley's. (") The observed Z.D. decreased 2 verniers. ( e ) The observed Z.D. increased 4 verniers. ( d ) At Transit of Center. Increase of N. P.D. during passage of Semidiameter = 14" 55. This is not applied to form the numbers in the columns "Geocentric N. P. D. of Limb," "Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( e ) The observed Z. D. increased 2 Verniers. (6) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23 C .28'. 1751. Oct. 10 Moon's L. L. ... o / // 32.22. 0-00 29-49 o 44-25 / it 0. 36-74 a 12-49 / " 58. 54-09 / a 31. 18-88 + 0-72 O 1 II 70. 22. 26-49 O f II 70. 6.20-04 II 13-72 11 Moon's L. L. ... 35. 13. 43-00 29-94 44-25 0. 41-55 12-95 58. 14-34 33. 22-86 + 0-59 73. 12. 9-73 72. 56. 14-19 13-69 13 Moon's L. L. ... 43. 27. 32-75 29-99 44-75 0. 55-77 14-01 56. 57-81 38. 58-73 + 0-31 81. 20. 36-49 81. 5. 1-92 13-65 14 Moon's L. L. ... 48.14.20-00 29-97 53-75 1. 4-64 18-16 56. 23-05 41. 51-79 H-0-19 86. 4.35-28 85. 49. 10-24 13-63 24 Moon's L. L. ... 73. 43. 46-25 30-00 44-25 3. 19-43 18-49 54. 11-41 51. 52 89 0-77 111. 26. 13-93 111.11.2498 13-40 25 Moon's L. L. ... 72.15. 1-00 30-04 41-75 3. 3-43 -17-75 54. 32-44 51. 48-07 0-71 109. 57. 18-30 109. 42. 23-58 13-37 26 Moon's L. L. 69. 48. 49-00 29-88 42-75 2. 38-94 16-47 55. 3-60 51. 31-65 0-59 107. 30. 59-63 107. 15. 56-38 13-34 28 Moon's L. L. ... 62.24.41-00 30-14 3775 1. 54-48 14-68 56. 35-10 49. 58-77 -0-36 100. 7. 42-07 99. 52. 13-73 13-28 29 Moon's L. L. ... 57. 41. 38-00 30-21 38-50 1. 34-80 14-36 57. 31-99 48. 26-60 -0-23 95. 25. 52-01 95.10. 8-08 13-25 30 Moon's L. L. ... 52. 31. 54-00 30-22 40-25 1. 18-02 14-37 58. 32-23 46. 15-83 o-oo 90. 18. 2-22 90. 2. 1-76 13-22 31 Moon's L. L. ... 47.10. 3-00 30-11 45-75 1. 3-58 14-29 59.30-12 43. 25-67 + 0-24 84. 58. 47-26 84. 42. 30-94 13-19 Nov. 1 Moon's L. L. ... 41.55.40-00 30-11 43-75 0. 53-18 13-86 60. 20-02 40. 5-88 + 0-38 79. 47. 34-22 79.31. 4-22 13-16 2 Moon's L. L. ( a ) . . Moon's U. L.( b ).. 37. 13. 36-00 36. 39. 46-00 29-97 36-75 0. 45-45 0. 44-53 13-28 13-34 60. 55-98 60. 55-98 36. 38-42 36. 9-55 + 0-54 75. 8. 50-69 74. 35. 28-04 74.52. 10-83 74.52. 7-90 13-13 3 Moon's TJ. L. 32. 57. 48-50 29-76 41-25 0.38-17 12-57 61. 13-28 33. 5-04 + 0-67 70.56.30-13 71. 13. 14-72 13-10 7 Moon's L. L. ... 34. 14. 51-75 29-33 35-75 0. 39-94 12-80 59. 19-04 33. 9-98 + 0-63 72. 13. 29-94 71. 57. 16-65 12-99 8 Moon's L. L. ... 37.51. 5-50 29-76 29-75 0. 46-85 13-37 58. 25-91 35. 38-51 + 0-54 75. 47. 21-41 75. 31. 22-69 12-96 9 Moon's L. L. ... 42. 10. 23-50 29-61 31-75 0. 54-09 13-89 57. 33 48 38. 26-21 + 0-37 80. 3.58-26 79. 48. 13-91 12-92 10 Moon's L. L. ... 46.53. 9-50 29-70 29-75 1. 4-22 14-28 56.44-88 41. 13-66 + 0-25 84.44. 6-43 84. 28. 35-41 12-89 27 Moon's L. L. ... 49. 39. 40-00 29-52 43-75 1. 8-31 14-41 58. 11-68 44. 9-47 + 0-13 87. 27. 44-96 87.11.50-15 12-44 28 Moon's L. L. ... 44.30. 5-00 29-17 41-75 0. 56-60 14-12 59. 11-43 41. 16-70 +0-27 82. 20. 51-45 82. 4.40-25 12-43 30 Moon's L. L. ... 35. 23. 55-00 29-20 34-75 0. 41-59 12-98 60. 52-81 35. 2-53 + 0-58 73. 20. 42-06 73. 4. 3-07 12-39 Dec. 2 Moon's L. L. ( c ) . . Moon's U. L. ( d ). . 30. 46. 49-00 30. 12. 33-00 29-00 42-75 0. 34-06 0. 33-30 12-22 12-13 61.29-45 61.29-45 31. 14-41 30. 42-72 + 0-79 + 0-79 68. 47. 17-62 68. 13. 37-46 68. 30. 28-59 68. 30. 26-49 12-33 4 Moon's L. L. ... 32.54. 7-50 29-71 45-75 0. 37-66 12-57 60. 40-31 32. 44-00 -f-0-70 70.53. 9-69 70. 36. 34-14 12-28 6 Moon's L. L. ... 40.23. 1-50 29-87 38-50 0. 50-52 -13-73 58. 52-51 37. 55-98 + 0-45 78. 17. 3 16 78. 0.57-15 12-24 9 Moon's L. L. ... 54. 57. 53-00 30-05 34-25 1. 25-85 14-33 56. 3-22 45. 42 77 0-11 92. 44. 42-04 92. 29. 22-44 12-18 24 Moon's L. L. ... 51.36.38-00 29-61 30-75 1. 15-46 14-39 57. I'll 44. 29-93 + 0-04 89. 24. 29-58 89. 8.54-10 12-02 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D of Limb and of Center in the Tables abore are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (") Observed at Transit of 1 L. ( b ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 11"' 94. This has not been applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. The correction for defective illumination is insensible. ( c ) Observed at Transit of 1 L. ( d ) Observed at Transit of 2 L. Correction applied for defective illumination, 0"' 18. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (7) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equate real Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1751. Dec. 25 Moon's L. L. ... O / il 46.36. 7-00 in. 29-82 o 30-75 / // 1. 3-71 // 14-26 / // 57. 49-81 / H 41.49-02 II + 0-27 1 U 84. 26. 28-10 O / 1 84. 10. 39-29 // 12-01 31 1752. Moon's U. L. ().. 31. 4. 1-00 29-41 46-75 0. 34-65 12-27 61. 7-00 31. 18-69 69. 4.25-09 69.21. 7-96 11-99 Jan. 1 Moon's L. L. ... 34. 12. 14-75 29-53 45-75 0. 39-33 12-79 60. 44-02 33. 55-05 + 0-63 72.10. 7-27 71. 53. 30-69 11-99 8 Moon's L. L. ... 66. 10. 21-00 29-51 30-75 2. 14 39 15-33 54. 51-74 50. 1-67 0-52 103. 53. 38-27 103. 38. 38-26 11-99 20 Moon's L. L. ... 53. 16. 36-00 29-60 44-75 1. 17-78 14-36 56. 38-11 45. 12-35 0-03 91. 3.47-44 90. 48. 18-27 12-06 23 Moon's L. L. ... 38. 58. 38-00 29-20 41-25 0. 46 71 13-54 58. 25-78 36. 32-45 4-0-52 76. 53. 59-64 76.38. 0-96 12-08 26 Moon's L. L. ... 30. 55. 37-00 29-07 40-75 0.34-48 12-25 60. 4-17 30. 39-00 + 0-79 68. 56. 41-42 68. 40. 15-76 12-12 27 Moon's L L. (") . . Moon's U. L. ( c ). . 31. 1.32-00 30. 27. 53-00 29-13 29-75 0. 35-50 0. 34 72 12-26 12-17 60. 20-83 60. 20-83 30. 52-88 30. 22 41 + 0-77 69. 2.23-53 68. 29. 17-30 68. 45. 53-31 68. 45. 47-52 12-13 28 Moon's U. L. ( d ). . Moon's L. L. ( e ). . 32. 10. 0-50 32. 43. 37-00 29-29 29-75 0. 37 32 0.38-14 12-46 12-54 60. 23-52 60. 23-52 31.55-67 32. 25-64 + 0-70 70. 9.50-58 70. 42. 57-36 70. 26. 21-54 70. 26. 26-40 12-14 29 Moon's L. L. ... 35.51. 9-00 29-26 29-50 0. 42-86 -13-06 63. 10-53 35. 1-46 + 0-56 73. 47. 58-30 73. 31. 30-91 12-15 Feb. 1 Moon's L. L. ... 50. 8.31-25 29-10 36-75 1. 9-50 14-42 58. 11-39 44. 28-17 + 0-08 87. 56. 18-64 87. 40. 23-90 12-18 22 Moon's L. L. ... 31. 29. 27-00 2934 42-75 0. 35-44 12-35 59. 14-12 30. 43-39 + 0-75 69. 30. 27-85 69. 14. 15-92 12-41 23 Moon's L. L. ... 31. 1.29-25 29-70 40-75 0. 35-37 12-26 59. 25-01 30. 24-27 + 0-78 69. 2.49-27 68. 46. 34-35 12-42 25 Moon's U. L. ... 33. 56 43 00 29-78 39-75 0. 39-77 12-75 59.27-14 32. 58-68 + 0-63 71.55.32-37 72. 11. 47-87 12-43 26 Moon's U. L. ... 37.33.58-25 29-50 37-75 0. 45-19 13-33 59. 14-73 35.54-17 +0-54 75. 29. 56-88 75.46. 8-98 12-44 27 Moon's U. L. ... 42. 2.32-75 29-86 35-75 0. 53-84 13-87 58. 52-54 39. 12 91 + 0-36 79. 55. 20-57 80. 11. 26-59 12-44 28 Moon's L. L. ... 47. 33. 22-00 29-91 36-75 1. 5-24 14-31 58. 21-37 42 51-62 4-0-22 85.22.41-93 85. 6.44-45 12-45 Mar. 1 Moon's L. L. ... 57.40. 0-00 29-98 3275 1.35-12 14-36 57. 0-89 47. 59-54 0-23 95.24.41-39 95. 9. 5-98 12-47 2 Moon's L. L. ... 62.14.51-50 30-01 35-75 1.53-68 14-67 56. 17-93 49. 39-11 0-35 99. 58. 11-45 99. 42. 47-81 12-47 4 Moon's L. L. ... 69. 27. 38-25 29-87 35-75 2. 38 27 16-36 55. 2.43 51. 23-44 0-58 107. 9.56-54 106. 54. 53-60 12-47 6 Moon's L. L. ... 73. 14. 17-00 29-71 41-75 3. 12-53 -18-23 54. 18-34 51. 51-49 0-75 110. 56. 39-46 110.41.48-61 12-47 7 Moon's L. L. ( f ). . Moon's U. L. (). . 73. 39. 25-50 73. 9.48-75 30-05 37-75 3.21-59 3. 15-48 18-45 18-20 54. 12-18 54. 12-18 51.52-46 51.4415 -0-77 111.21.59-48 110.52.21-51 111. 7.10-32 111. 7.10-67 12-47 9 Moon's U. L. ... 71. 1. 0-25 30-54 34-75 2. 56 37 17-03 54. 33-34 51. 26-34 0-68 108.43.32-97 108. 58. 27-93 12-48 19 Moon's L. L. ... 34.27. 15-25 30-26 4275 0. 40-93 12-83 59. 18-91 33. 20-37 4-0-63 72.25 44-01 72. 9.30-76 12-43 23 Moon's U. I 33. 14. 50-00 29-70 49-75 0. 37-84 12-62 59. 0-57 32. 7-99 4-0-65 71. 14.28-28 71.30.36-50 12-39 24 Moon's U. L. ... 36. 24. 15-00 29-12 39-75 0. 42-59 13-14 58. 43-30 34. 33-01 4-0-54 74. 21. 27-38 74. 37. 30-87 12-38 The Moon's U. L. or L. L. WHS usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding: to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. () Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = + 5"'33. ( b ) Observed at Transit of 1 L. (') Observed at Transit of Center. Correction applied for defective illumination, !'' 24, Increase of N. P. D. during passage of Semidiameter = + 2"'61. ( d j Observed at Transit of 1 L. Correction applied for defective illumination, 0"-21. (') Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = +7"' 16. (') Observed at Transit of Center. Correction applied for defective illumination, + 2"'90. Increaseof N. P. D. during passage of Semidiameter = 0"-18. ( e ) Observed at Transit of 2 L. (*)> ( c ) .(').( f ) The correction for time of passage of Semidiameter has not been applied to either of these observations to form the numbers in the columns " Geocen- tric N.P. D. of Liinb," " Geocentric N. P. D. of Center;" which, therefore, in these instances, represent the N.P. D. of Limb and Center at Transit of Center. (8) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1752. Mar. 25 Moon's U. L. ... / /' 40. 28. 16-00 in. 29-40 o 39-75 / // 0. 49-75 // 13-74 / ii 58. 22-41 / // 37. 40-54 II + 0-43 O / ff 78. 22. 32-30 o i U 78. 38. 30-06 it 12-37 27 Moon's U. L. ... 50. 4.29-75 29-61 33-75 1. 11-00 14-42 57. 28-92 43. 52-99 -t-0'09 87. 52. 53-83 88. 8. 36-92 12-34 28 Moon's TJ. L. ... 55. 1.43-75 29-35 41-75 1.22-74 14-33 56. 57-32 46. 28-88 0-14 92. 47. 43-54 93. 3. 17-97 12-33 29 Moon's U. L. ('). . Moon's L. L. (") . . 59.43.51-50 60. 15. 10-75 29-40 34-75 1. 40-70 1.4283 14-40 14-44 56. 24-02 56. 23-98 48. 31-88 48. 47-53 -0-27 0-27 97.28. 2-91 97.59.11-74 97.43.28-21 97. 43. 46-45 1232 30 Moon's L. L. ... 64. 28. 27-25 29-41 34-75 2. 2-91 14-93 55. 50-68 50. 13-72 0-45 102.11.21-46 101.56. 5-29 12-30 31 Moon's L. L. ... 68. 1.37-25 29-70 32-75 2. 27-24 15-92 55. 18-90 51. 8-51 0-54 105. 43. 59-92 105. 28. 52-48 12-28 Apr. 2 Moon's L. L. ... 72. 34. 20-75 29-50 35-75 3. 5-94 17-65 54. 29-58 51. 50-95 0-72 110.16.37-77 110. 1.43-84 12-24 5 Moon's U. L. ... 71. 33. 49-50 29-70 33-75 2. 57-27 17-36 54. 17-40 51.21-54 0-70 109. 16. 27-57 109.31.18-16 12-19 8 Moon's U.L. ... 62. 53. 46-50 29-81 32-75 1. 56-79 14-74 55.40-02 49. 22-97 0-40 100. 37. 25-58 100. 52. 38-83 12-13 9 Moon's U. L. ... 58.37. 5-00 29-90 37-75 1. 37-39 14-38 56. 25-22 47. 59-11 0-27 96. 21. 49-03 96.37.14-67 12-11 10 Moon's U.L. ... 53. 52. 51-00 29' 80 39-75 1. 20-88 14-36 57. 15-04 46. 9-84 0-09 91.39. 7-99 91.54.47-28 12-09 18 Moon's TJ. L. ... 31. 5.56-00 29-80 59-75 0. 34-24 12-28 59. 54-49 30. 43-24 + 0-75 69. 6.55-87 69. 23. 18-87 11-93 20 Moon's U. L. ... 35. 30. 51-50 29-60 51-75 0. 40-88 13-00 58.59-67 34. 3-12 -1-0-55 73. 28. 37-21 73.44.45-19 11-88 21 Moon's U. L. ... 39. 19. 10-00 29-70 50-75 0.47-16 13-59 58. 26-07 36. 48-77 + 0-47 77. 14. 15-67 77. 30. 14-44 11-85 22 Moon's U.L. ... 43. 45. 57-00 29-56 50-75 0. 54-87 14-04 57. 51-60 39. 48-86 + 0-27 81.38. 9-64 81.53.58-95 11-81 23 Moon's U. L. ... 48. 33. 21-00 29-53 49-75 1. 4-93 14-36 57. 17-41 42. 44-65 + 0-16 86. 22. 47-48 86. 38. 27-41 11-79 26 Moon's U. L. ... 62. 27. 30-00 30-15 40-75 1.54-03 14-69 55. 43-35 49.14-14 0-38 100.11.15-22 100.26.29-38 11-71 28 Moon's L. L. ... 69. 45. 42-25 30-04 39-75 2. 40-38 -1645 54. 51 68 51.20-17 0-59 107.28. 5-82 107. 13. 5 83 11-65 30 Moon's L. L. ... 73. 6.57-50 29-60 4375 3. 9-60 18-18 54. 16-07 51.4730 0-74 110. 49. 21-28 110.34.31-05 11-60 May 5 Moon's U. L. ... 64. 23. 44 2 > 29-31 44-75 1. 59-53 -14-92 54. 59-09 49.2513 0-46 102. 7.23-67 102. 22. 25-69 11-46 6 Moon's U.L. ... 60. 26. 44-75 29-21 47-75 1.40-20 14-46 55 36-87 48. 12 32 0-29 98.11.18-28 98. 26. 30-67 11-43 7 Moon's U. L. ... 55. 59. 53-75 29-48 44-75 1. 25-62 - 14-36 56. 23-85 46. 34-28 0-18 93. 45. 50-95 94. 1. 16-21 11-40 17 Moon's U. L. (). . 34. 23. 47-75 29-49 5675 0. 38-68 12-82 60. 3-05 33. 42-06 + 0-63 72.21.37-56 72.38. 2-90 11-15 18 Moon's U.L. (").. 37. 59. 47-80 29-30 56-75 0. 43'84 13-40 59. 20-50 36. 18-80 + 0-54 75. 55. 20-38 76. 11. 34-07 11-11 19 Moon's U. L. ... 42.21.11-25 29-60 57-75 0. 51-57 13-90 58. 33-20 39. 14-12 + 0-34 80. 13. 55-54 80. 29. 56-26 11-10 22 Moon's U. L. ... 56. 44. 19-50 30-10 54-75 1. 28-07 14-35 56. 19-26 46. 54-56 0-21 94. 29. 58-85 94. 45. 22-85 11-02 23 Moon's U. L. ... 61. 9.38-00 30-05 52-75 1.45-03 14-55 55. 43-45 48. 38-27 0-32 98. 53. 50-29 99. 9. 4-47 10-99 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant ReaiHng the Adopted Co-Latitude 3h. 31'. 20" '40. (*) Observed at Transit of 1 L Correction applied for defective illumination, 3"- 14. ( b ) Observed at Transit of 2 L. ( c ) Past middle wire 2 m . Correction applied for distance from middle wire, 15" '02. ( d ) The observed Z. D. decreased 4 verniers. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (9) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal 1'arullax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 2. 175-2. o / a in. / // // / /* // // O ' /' 1 II II May 24 Moon's U. L. ... 65. 4.4750 29-98 54-75 2. 3-50 15-01 55. 12-94 49. 54 55 0-50 102. 48. 1-34 103. 3. 7-16 10-96 25 Moon's U . L. ... 68. 20. 4-50 29-97 51-75 2. 24-99 16-01 54. 47-72 50. 46-02 0-55 106. 2.47-31 106. 17.46-21 10-95 27 Moon's U. L. ( a ) . 72. 19. 2-50 29-94 4675 3. 1-63 -1T78 54. 12-67 51.30-22 0-73 110. 1. 35-80 110. 16.25-10 10-90 29 Moon's U. L. ... 72.25. 17-50 29-95 4975 3. 1-63 17-85 53.59-19 51. 19-21 -0-73 110. 8. 1-79 110.22.47-39 10-85 June 1 3 Id Moon's U. L. ... 65.41. 13-00 57. 48. 17 75 40. 26. 53-25 29-38 29-72 2991 53-75 52-75 64-75 2. 4-68 I. 30-93 0. 48-06 15-18 14-37 13-74 54. 29-39 55.31-53 59. 47-65 49. 29-68 46. 48-42 38. 34-43 0-52 -0-27 + 0-43 103. 24. 52-70 95.34. 6-02 78.20. 13-97 103. 39. 46-58 95. 49. 16 93 78.36.35-10 10-79 10-75 10-58 Moon's U. L. ... 16 Moon's U. L. ... 45. 14. 0-50 30-07 67-75 0. 56-78 14-19 58. 53-06 41. 35-77 +0-27 83. 4. 27-99 83.20.34-15 10-66 17 Moon's U. L. ("). . 50. 13.51-00 30-10 60-25 I. 8-72 14-42 57. 56-49 44. 20-09 -rO-09 88. 1.21-52 88. 17. 12-17 10-55 18 Moon's U. L. ... 55. 8. 10-50 30-14 60-25 1 . 22- 14 - 14-33 57. 2-18 46. 36-53 0-14 92.54. 2-04 93. 9.37-80 10-54 19 Moon's ILL. ... 59.44.22-75 29-99 59-25 1.37-69 14-40 56. 13-48 48. 23-04 0-27 97.28.43-13 97.44. 5-55 10-53 M Moon's U. L. ... 70. 3. 29-00 30-00 61-75 2. 35-48 16-56 54. 32-63 51. 7"22 0-63 107.46. 0-47 108. 0.55-24 10-51 23 Moon's U. L. ... 71.54. 5-50 30-05 61-75 2. 52-53 17-56 54. 14 19 51.24-33 072 109. 36. 35-82 109.51.25-53 10-60 25 Moon's C. L. ... 72.41.49-00 29- 9 j 62-75 2. 59-84 1796 53. 67-60 51.22-38 -0-74 110.24.28-16 110.39. 13-33 10-47 29 Moon's U. L. ... 63. 21. 46-00 29-45 5575 1. 52-24 14-79 54. 35-93 48. 38-17 0-42 101. 6. 6-26 101.21. 0-93 10-47 July 2 Moon's U. L. ... 50. 19.31-00 29-7o 5675 1. 8-63 14-41 56. 13-36 43. 4-73 -t-0-08 88. 8.40-97 88.24. 3-35 10-47 5 Moon's U. L. ( c ). . 37- 5. 18-80 29-45 58-75 0. 42-48 13-26 58. 46-35 35. 13-55 + 0-54 75. 1.55-41 75.17.69-74 10-47 20 Moon's U. L. ... 71. 15.23-75 29-90 58-75 2. 46-47 -17-17 54. 29-58 al.27'19 0-69 108. 57. 45-57 109. 12. 39-50 10-53 22 Moon's U. L. ... 72. 45. 15-25 29-92 58-25 3. 1-93 18-00 54. 2-76 51.28-27 0-75 110. 27.50-56 110.42.37-14 10-55 23 Moon's U. L. ... 72. 2. 9-25 29-98 58-75 2. 54-52 17-64 54. 1-29 61.14-48 0-72 109.44.51-33 109.59.37-51 10-56 26 Moon's U. L. ... 64. 36. 49-00 29-83 53-75 2. 0-58 14-94 54. 34-15 49. 8-11 -0-47 102.20.46-46 102.35.41-64 10-59 27 Moon's U. L. ... 60.46. 8-50 29-97 54-75 1.42-69 14-50 54. 55-02 47. 45-02 0-30 98.31. 11-77 98.46. 12-67 10-60 29 Moon's U. L. ... 56.29. 4-25 30-10 55-75 1. 27-06 14-36 55. 20-52 45. 57-49 0-20 94. 15.3966 94. 30. 47-55 10-61 29 Moon's U. L. ... 51. 55. 54-50 30-01 51-75 1. 14-05 14-39 55. 50-33 43. 46-19 o-oo 89. 44. 28-37 89. 59. 44-44 10-63 Aug. 4 Moon's U. L. ... 31.12.43-50 29-33 69-75 0. 33-85 12 30 59. 53-00 30. 48-54 + 0-74 69. 13. 37-65 69.30. 0-24 10-69 16 Moon's U. L. ... 70.19.11-50 29-86 66-50 2. 35-45 16-69 55. 1-11 51. 39-06 0-64 108. 1.10-96 108. 16.13-53 10-83 19 Moon's U. L. ... 7-2. 13. 44-00 29-78 63-75 2. 53-56 -17-73 54. 8-36 51.24-55 0-72 109. 56. 14-96 110.11. 3-07 10-85 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected (Quadrant Rending the Adopted Co- Latitude 38. 31'. 20'' '40. ( a ) Observed at Transit of 1 L. Increase of N. P.D. during passage of Semidiameter = + 2"'79. ( b ) 2 m past. Correction applied for distance from middle wire, 24"' 18. ( e ) The observed Z. D. decreased 2 verniers. GRBBNWICH LUNAR REDUCTIONS. (10) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatorial Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P. D. ofU.L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular ibliquity of Ecliptic. 23.2S'. 1752. Aug. 23 Moon's U. L. ... o / '/ 62. 10. 15-75 in. 29-71 50-75 / w 1.48-74 // 14-66 / n 54.59-71 ' H 48. 27-82 // 0-36 o / it 99. 54. 42-05 Q f II 100. 9. 44-24 // 10-89 25 Moon's TJ. L. ... 53.32. 2-25 29-65 54-75 1.17-04 -14-36 55. 53-89 44. 45-88 0-07 91. 19.39-38 91.34.56-43 10-91 28 Moon's U. L. ... 40. 2.26-25 29-97 52-75 0. 48-63 13-70 57. 26-06 36. 44-38 -i-0-45 77. 57. 37-65 78. 13. 19-96 10-92 30 Moon's U.L. ... 33.29. 11-00 29-83 53-75 0. 38-04 -12-67 58. 28-07 32. 2-52 + 0-64 71.28.54-89 71.44,54-20 10-96 31 Moon's U. L. ... 31. 44. 64-50 29-89 52-75 0. 35-73 13-39 58. 57-33 30.48-16 + 0-7-2 69. 45. 49-80 70. 1.57-14 10-96 Sep. 1 Moon's U. L. ... 31.20.30-25 29-55 58-50 0. 34-36 -12-3-2 59. 23-42 30. 40-23 + 0-74 69.21.33-20 69. 37. 47-69 10-96 2 Moon's U. L. ... 32. 21. 54-50 29-94 63-25 0. 35-89 12-49 59. 43 93 31.45-20 + 0-70 70. 21. 53-80 70.38. 13-90 10-97 12 Moon's U. L. ... 69. 7. 5-50 29-38 62-75 2. 24-65 1625 55.40-15 51. 51-25 0-59 106. 48. 42-46 107. 3.55-74 10-99 16 Moon's L. L. ... 71.50. 0-25 30-05 56-75 2. 53-61 17-52 54. 1322 51.22-43 0-69 109. 32. 33-62 109. 17.44-17 10-99 17 Moon's L. L. ... 70. 1.32-00 30-10 55-75 2. 37-63 - 16-54 54. 18-21 50. 53-32 0-61 107.44.1956 107. 29. 28-74 10-98 19 Moon's L. L. ... 64. 4.35-00 29-93 56-75 1.57-43 14-88 54. 56-02 49. 14-55 0-43 101.48.22-97 101.33.21-79 10-97 22 Moon's U. L. ... 50. 40. 45-50 29-95 51-75 I. 10-68 10-12 56.34-16 43. 34-05 + 0-06 88. 29. 32-47 88.45. 0-56 10-94 24 Moon's U. L. ... 41.34. 8-50 29-69 57-75 0. 50-32 13-84 57.41-52 38. 4-22 + 0-37 79.28. 1-53 79. 43. 48-08 10-94 25 Moon's U. L. ... 37.36.11-75 29-90 54-75 0. 44-29 13-34 58. 9-87 35. 16-65 + 0-54 75. 32. 46-99 75.48.41-31 10-92 27 Moon's U. L. ... 32.20. 9-00 30-17 50-75 0. 37-04 12-49 58.51-60 31. 15-88 + 0-70 70. 20. 38-77 70. 36. 44-54 10-90 29 Moon's L. L. ().. Moon's U. L. ( b ). . 32. 38. 47-50 32. 5. 57-00 30-01 51-75 0. 37-21 0. 30-44 -12-53 12-45 59. 12-73 59. 12-73 31.43-43 31. 14-67 4-0-70 70.38.49-15 70. 6.27-14 70. 22. 37-59 70. 22. 38-70 10-87 30 Moon's L. L. ... 34.34.11-75 30-12 43-75 0. 40-83 12-85 59. 16-19 33. 24-76 + 0-62 72. 32. 35-99 72. 16.23-48 10-86 Oct. 12 Moon's U. L. ... 72. 10. 40-50 29-95 56-75 2. 56-53 -17-70 54. 32-57 51.46-66 0-72 109. 52. 52-35 110. 7.47-10 10-67 13 Moon's L. L. ... 72. 8.49-00 30-19 50-50 2. 59-92 17-69 54. 11-49 51. 32-05 0-70 109. 51. 18-88 109. 36. 28-26 10-65 . 16 Moon's L. L. ... 65. 25. 46-00 30-18 45-75 2. 8-67 15-11 54. 36-93 49. 30-65 0-49 103. 9.28-82 102. 54. 32-87 10-59 17 Moon's L. L. ... 61. 48. 26-50 30-12 48-75 1.49-02 14-62 55. 4-22 48.22-12 0-33 99. 32. 58-85 99.17.55-42 10-56 18 Moon's L. L. ... 57.41.21-25 30-16 46-75 1. 33-02 14-36 55.40-21 46. 52-32 0-23 95.27. 7-76 95. 11.54-47 10-55 20 Moon's L. L. ... 48. 34. 56-50 30-15 46-75 1. 6-76 14-36 57. 6-88 42. 38-00 + 0-18 86.24.31-48 86. 8.54-43 10-49 21 Moon's L. L. ... 43. 59. 57-00 29-96 44-75 0. 56-77 14-06 57.51-43 39. 59-09 + 0-29 81.52. 1-31 81.36.12-05 10-47 23 Moon's U. L. ... 35. 37. 39-00 30-02 39-75 0. 42-68 13-04 59. 4-50 34. 11-64 + 0-54 73. 35. 17-94 73.51.27-24 10-42 24 Moon's U. L. . . . 33. 2.45-50 29-96 41-75 0. 38-51 -12-59 59.27-31 32. 12-07 40-66 71. 2.20-41 71.18.35-96 10-39 25 Moon's U. L. ... 31.44.43-00 30-07 45-50 0. 36-47 12-39 59. 38-84 31. 9-69 4-0-72 69.45.18-51 70. 1.37-22 10-36 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. I), of Limb and of Cenler in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. 1 The N. P. D. is formed hv adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20"' 40. (') Observed at Transit of Center. Increase of N.P. D. during passage of Semidiameter = + 3"- 61. This has not been applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. (") Observed at Transit of 2 L. Correction applied for defective illumination, 0"'28. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (11) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P.O. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1752. o / * in. o / H it / // / // // O / It O f II II Oct. 27 Moon's L. L. ... 33.58. 9-00 30-14 40-75 0. 40-20 -12-75 59. 30-90 33. 2-10 + 0-64 71.50.55-39 71.40.38-86 10-31 28 Moon's L. L. ... 36-45. 2-00 30-05 43-75 0. 44-14 13-20 59. 15-42 35. 14-33 + 0-54 74.41.39-55 74. 25. 27-26 10-29 29 Moon's L. L. ... 40. '29. 45-25 30-28 42-75 0. 60-96 -13-74 58.55-13 38. 2-94 + 0-45 78.23.40-38 78. 7.33-65 10-25 30 Moon's L. L. ... 44. 53. 52-50 30-37 38-25 1. 0-19 14-16 58.31-61 41. 6-26 +0-27 82. 44. 52-94 82. 28. 52 66 10-22 31 Moon's L. L. ... 49. 39. 43-75 30-13 35-75 1.10-90 14-41 53. 6-01 44. 5"24 + 0-13 87. 27. 55-53 87. 12. 2-27 10-20 Nov. 13 Moon's L. L. ... 63.22. 5-75 30-20 49-75 1. 56-54 14-79 54. 31-09 48.34-78 0-40 101. 6.32-72 100.51.38-21 9-87 14 Moon's L. L. ... 59. 30. 57-50 30-31 47-75 1.40-18 14-40 55. 0-17 47. 13-65 0-27 97. 10. 29-76 97. 1.27-45 9-83 15 Moon's L. L. ... 55. 10. 20-25 30-27 46-75 1.25-22 14-34 55. 38-80 45. 33-16 0-12 93. 3.18-25 92.48. 5-32 9-80 16 Moon's L. L. ... 50. 46. 48-75 30-16 44-75 1. 12-46 14-41 50. 25-87 43.31-00 + 0-08 88. 35. 35-68 88.20. 9-86 9-77 19 Moon's L. L. ... 37.51.19-25 29-73 34-75 0. 46-31 13-38 59. 4-88 36. 2-47 + 0-54 75. 47. 10-65 75.31. 1-24 9-70 20 Moon's L. L. ... 34. 42. 37-00 29-93 35-75 0. 41-47 12-87 59. 48-47 33.50-19 + 0-02 72. 40. 36-43 72. 24. 15-08 9-67 21 Moon's L. L. ... 32. 43. 53-25 30-00 34-25 0. 38-70 12-54 60.19-25 32. 23-60 + 0-70 70. 43. 16-91 70. 26. 47-13 9-65 25 Moon's L. L. ... 39. 9. 29-00 30-15 37-75 0. 48-90 13-56 59. 43-89 37.30-11 + 0-50 77. 3.55-13 76. 47. 35-04 9-55 20 Moon's L. L. ... 43. 27. 49-00 30-37 34-75 0.57-67 13-01 59. 0-03 40.27-10 + 0-31 81. 19.27-27 81. 3. 17-39 9-52 29 Moon's L. L. ... 57. 43. 28-00 30-27 33-50 1.36-11 14-36 57. 6-66 48. 0-20 0-23 95,28. 3-06 95. 12. 26-64 9-40 30 Moon's L. L. ... 62. 3.37-75 30-37 30-75 1.55-36 14-65 56. 30-tiO 49. 45-10 0-34 99. 46. 53-36 99.31.26-21 9-43 Dec. 12 Moon's L. L. ... 57. 7.24-00 29-00 45-75 1.27-71 14-35 54.51-03 45. 53-32 0-20 94.54. 4-24 94.39. 4-41 9-24 13 Moon's L. L. ... 52. 48. 57-00 29-37 41-75 1. 16-37 -14-37 55.2771 44. 0-01 -o-oi 90. 37. 19-38 90.22. 9-50 9-22 14 Moon's L. L. ... 48. 22. 38-00 29-22 48-50 1. 4-01 -14-35 56. 13-88 41.50-39 -I-0-18 86. 12. 57-85 85. 57. 35-30 9-20 16 Moon's L. L. ... 39. 51.53-00 29-74 34-75 0. 49-77 13-68 58. 7-47 37. 2-79 + 0-47 77.46.47-17 77. 30. 53-49 9-18 17 Moon's L. L. ... 36. 18. 32-75 29-58 49-75 0. 42-23 -13-13 59. 7-22 34. 47-45 + 0-54 74. 15. 35-34 73. 59. 25-27 9-17 19 Moon's L. L. ... 32. 17. 56-75 29-55 41-75 0. 30-91 12-48 00. 44-87 32. 14-14 -f-0-70 70.17.28-14 70. 0.51-31 9-16 20 Moon's L. L. () . . Moon's U. L. () . . 32. 27. 35-25 31.53.41-00 29-37 42-75 0. 30-83 0. 36-04 12-50 12-42 61. 10-53 61. 10-53 32. 30-45 32. 5-73 + 0-72 + 0-72 70. 20. 44-25 69. 53. 17-36 70.10. 0-39 70.10. 1-22 9-15 21 Moon's L. L. ... 34. 12. 7-25 29-30 35-75 0. 39-84 12-79 61. 15-75 34. 12-60 + 0-03 72. 9.42-67 71. 52. 57-38 9-14 22 Moon's L. L. ... 37. 19. 55-50 29-68 27-75 0. 40-05 13-29 01. 0-03 30. 40-22 + 0-54 75.15. 2-98 74. 58. 22-00 9-13 23 Moon's L. L. ... 41.29.16-25 29-17 43-25 0. 50-79 13-83 60. 26-53 39. 49-38 -f-0'40 79.21.24-63 79. 4.52-82 9-13 26 Moon's L. L. ... 56. 6. 1-00 29-21 36-75 1. 26-60 14-36 57. 53-48 47. 51-74 0-16 93.50.41-74 93. 34. 51-90 9-10 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb anil of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (") Observed at Transit of 1 L. (") Observed at Transit of 2 L. Correction applied for defective illumination, 2" 65. (12) KEDTJCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. B ; ro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P.O. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1752. Dec. 27 1753. Jan. 17 Moon's L. L. ... Moon's L. L. ... O / II 60. 37. 59-50 33. 4.21-25 in. 29-83 29-90 o 28-75 29-75 / // 1.47-30 0. 39-45 // 14-49 12-59 / it 57. 2-21 61. 937 49. 31-87 33. 8-88 ii 0-27 -I-0-69 o / a 98.21.20-57 71. 3. 0-32 O / /' 9S. 5. 44-78 70. 46. 16-77 it 9-11 9-19 23 Moon's L. L. ... 58. 40. 50-75 30-17 28-75 1. 40-41 14-38 58. 17-90 49. 37-17 -0-27 96. 23. 59-74 96. 8. 3-19 9-26 26 Moon's L. L. ... 69. 29. 34-00 29-85 23-75 2. 4-2-55 1637 55. 37-59 51. 56-95 0-58 107. 11.23-05 106.56.10-45 9-30 Feb. 9 Moon's L. L. ... 39.30. 3-25 29-72 32-75 0.49-31 1362 56. 44 33 35. 53-15 + 0-48 77.26. 6-67 77. 10. 35-77 9-47 11 Moon's L. L. ... 33.54. 4-00 2.9-55 29-75 0. 40-23 1274 58. 18-84 32. 18-65 + 0-65 71.53.33-89 71. 37. 37-08 9-50 15 Moon's U. L. (). . Moon's L. L. (") . . 36. 26. 50-00 37. 0. 57-50 29-38 4475 0. 42-60 0. 43-49 13-15 13-24 60. 58-48 60. 58-48 35. 59-95 36. 29-16 + 0-54 + 0-54 74. 22. 40 44 74. 56. 19-59 74.39.21-00 74. 39. 39-03 9-55 16 Moon's L. L. ... 41. 1.40-75 29-40 50-75 0. 49-59 13-79 61. 4-57 39. 52-30 + 0-43 78. 53. 45-08 78.37. 2-86 9-56 21 Moon's L. L. ... 64. 56. 18-50 29-98 35-75 2. 7 65 1498 57. 36-72 52. 1-14 0-46 102. 37. 29-97 102.21.44-72 9-62 25 Moon's L. L. ... 72. 14. 20-50 30-28 34-75 3. 7-53 -1774 54. 36-25 51.51-51 0-71 109. 56. 38-47 109.41.4269 9-65 Mar. 8 Moon's L. L. ... 40.47. 0-75 30-31 4425 0. 51-37 -13-77 56. 29-56 36. 41-86 + 0-43 78. 42. 17-32 78. 26. 50-48 9-70 9 Moon's L. L. ... 37.23. 3-75 3031 43-00 0. 45-48 -13-30 57. 2-21 34. 25 33 + 0-54 75.20.31-54 75. 4.5575 9-70 10 Moon's L. L. ... 34. 45. 20-00 30-11 41-75 0. 41-27 12-88 57. 36-56 32. 37-81 -r-0-61 72.44.31-59 72. 28. 46-38 9-71 12 Moon's L. L. ... 32. 42. 20-00 29-42 46-75 0. 36-94 12-54 58. 47-55 31. 32-99 + 0-70 70. 42. 32-51 70. 26. 27-84 9-70 13 Moon's U. L. ... 33. 2. 33-00 29-80 43-75 0.38-14 -12-59 59.21-12 32. 8-52 + 0-66 71. 2.11-09 71.18.24-97 9-71 15 Moon's U. L. ... 38. 36. 25-50 29-64 43-75 0. 46-55 13-48 60. 9-46 37. 18-99 + 0-51 76.31. 0-49 76. 47. 27-61 9-69 18 Moon's U. L. ... 52. 52. 58-00 29-82 38-75 1. 18-22 14-36 59. 48-20 47. 29-08 0-05 90.37. 53-13 90. 54. 1 4-43 9-68 19 Moon's L. L. ... 58.23. 3-50 30-04 44-75 1. 35-56 1437 59. 13-05 50. 14-44 0-27 96. 5.30-38 95.49. 18-71 9-63 21 Moon's L. L. ... 66. 35. 26-75 29-90 3575 2. 17-39 15-46 57. 37-34 52. 42-84 0-54 104.16. 5-68 104. 0.20-26 9-67 24 Moon's L. L. ... 72. 1.35-00 29-69 36-75 3. 0-83 17-63 55.16-50 52. 25-91 0-70 109.43. 11-99 109.28. 5-18 9-64 26 Moon's U. L. ... 70. 9.57-00 29-85 39-75 2. 42-80 16-61 54. 22-35 50. 59-73 0-63 107. 52. 43-23 108. 7.35-20 9-62 Apr. 11 Moon's ILL. ... 37.26.56-50 29-60 41-75 0. 44-78 -13-21 59. 20-05 35.51-61 + 0-54 75. 22. 57-40 75. 39. 10-98 9-37 15 Moon's U. L. ... 55. 3S. 3-00 29-53 41-75 1.25-14 14-35 58. 56-36 48. 27-56 0-10 93.22. 6-47 93. 38. 13-56 9-29 17 Moon's U. L. (').. Moon's L. L. ( d ) . . 64.20. 51-00 64. 52. 4(5-50 29-32 42-75 1. 59-82 2. 2-70 14-91 14-98 57. 53-54 57. 53-45 52. 0-66 52. 14-69 0-46 0-46 102. 1.54-39 102. 33. 39-47 102. 17. 44-25 102. 17.49-64 9-24 19 Moon's L. L. ... 70. 27. 54-50 29-80 49-75 2.41-78 -16-76 56. 31-50 53. 7-08 0-63 108. 8.32-21 107.53. 4-83 9-20 21 Moon's U. L. ... 71. 26. 37-50 30-00 49-75 2. 51-95 17-29 55. 14-75 52. 13-35 0-70 109. 8.18-51 109. -23. 24-84 9-15 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. i>f Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. I), is formed by adding to the corrected Quadrant Reeling the Adopted Co-Latitude 3h.31'. 20" '40. () Observed at Transit of 1 L. ( b j Observed at an interval of a diameter from 1 L. Correction applied for defective illumination, +- 0*'06. Increase of N. P. D. during passage of Semidiatneter = + 10" '19. (') Observed at Transit of 1 L Correction applied for defective illumination, 0" 80. ( d ) Observed at Transit of 2 L. SECT. II. INVESTIGATION or MOON'S NORTH POLAK DISTANCE. (13) Year, Month, and Diiy. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P. D. ofU.L. or L. L., at Transit of 1 L or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1753. o / ./ in. , ft / // / // II O i a o / // Apr. 22 Moon's U. L. ... 70. 40. 43-50 29-90 48-75 2. 44-57 16-86 54. 45-72 51.31-56 0-65 108.22. 59-40 108. 37. 57-78 9-12 23 Moon's U. L. ... 69. 1.36-50 29-80 43-75 2, 31-82 16-22 54. 25-47 50. 39-86 0-59 106. 44. 32-05 106.59.24-87 9-10 20 Moon's U. L. ... 59. 59. 35-00 29-40 48-75 1.38-84 -14-41 54.28-71 47. 0-17 0-27 97. 45. 19-39 98. 0. 13-10 9-02 May 6 Moon's U. L. ... 32. 28. 53-25 30-23 50-75 0. 37-32 12-51 59. 15-94 31.36-45 + 0-69 70.29. 2-70 70.45. 15-16 8-78 7 Moon's U. L. ... 33.51.53-75 30-05 48-75 0. 39 27 12-74 59. 23-90 32. 52-73 + 0-63 71.50.48-58 72. 7. 3-22 8-77 9 Moon's U. L. ... 40. 4. 11-50 30-04 59-75 0.48-11 13-71 59.17-26 37. 56-90 + 0-44 77.58. 9-84 78. 14. 22-66 8-71 10 Moon's U. L. ... 44. 22. 39-75 29-90 6275 0. 55-35 14-10 59. 5-43 41. 6-89 -r-0-27 82. 13.34-78 82. 29. 44-36 8-68 11 Moon's U. L. ... 49. 5.20-00 2959 50-75 1. 6-15 14-38 58. 49-23 44. 14-82 + 0-13 86.53.17-48 87. 9.22-62 8-66 12 Moon's U. L. ... 53. 54. 56-00 29-57 50-75 1. 18-55 14-36 58. 29-02 47. 3-99 0-09 91.40. 16-51 91.56.16-10 8-64 14 Moon's U. L. ... 62.48. 13 50 29-60 47-75 1. 51-95 14-73 57. 37-21 51. 4-34 0-39 100. 30. 6-39 100.45.51-77 8-58 15 Moon's U. L. ... 66. 22. 28-50 29-30 43-75 2.11-05 15-40 57. 6-40 52. 9-11 0-54 104. 3. 34-90 104. 19. 11-84 8-56 16 Moon's U. L. ... 69. 5.29-75 29-40 4275 2. 30-59 -16-24 56. 33 SO 52. 40-69 0-59 106.46.23-22 107. 1.51-23 8-53 22 Moon's U. L. ... 64. 55. 36-00 30-31 44-75 2. 6-58 14-98 54. 13 54 48.57-19 0-49 102. 39. 50-32 102. 54. 39-88 8-38 23 Moon's U. L. ... 61. 33. 56-50 30-32 45-75 1. 49-33 14-59 54. 16-17 47.33-19 0-34 99.19.18-11 99. 34. 8-39 8-36 24 Moon's U. L. ... 57.47. 6-00 30-19 50-75 1.32-69 14-37 54. 29-71 45. 55-72 0-27 95. 33. 48-73 95. 48. 42-72 8-34 25 Moon's U. L. ... 53. 42. 44-75 30 03 52-75 1. 18-86 14-36 54. 53-88 44. 3-94 0-08 91.31. 5-63 91.46. 6-24 8-32 26 Moon's U. L. ... 49. 28. 52-00 29-87 58-75 1. 6-61 14-40 55^*7-87 41.58-23 + 0-11 87. 19. 6-49 87. 34. 16-42 8-30 June 4 Moon's U. L. ... 35. 18. 39-00 29-96 70-75 0. 39-54 12-97 60. 9-94 34. 33-23 + 0-56 73. 15. 53-30 73. 32. 20-56 8-15 7 Moon's U. L. ... 47.31.55-50 30-00 64-75 1. 1-74 14-31 69. 10-49 43.26-51 + 0-20 85. 20. 37-02 85. 36. 47-98 8-10 8 Moon's U. L. ... 52. 22. 18-50 29-97 68-25 1. 12-68 14-38 58.38-19 46. 14-36 o-oi 90. 8.22-83 90. 24. 24-94 8-08 9 Moon's U. L. ... 57. 5. 18-50 30-00 7275 1.25-81 14-35 58. 3-94 48. 33-36 0-23 94. 49. 16-77 95. 5. 9-48 8-07 10 Moon's U. L 61.26. 7-75 29-98 66-25 1. 43-14 14-58 57. 29-79 50. 19-05 0-34 99. 8. 37-32 99. 24. 20-67 8-05 11 Moon's U. L. ... 65. 12. 1-75 29-94 62-75 2. 2-01 15-05 56. 56 29 51.31-00 0-50 102. 53.37-61 103. 9. 11-78 8-05 12 Moon's U. L. ... 68. 12. 1-00 29-87 60-75 2. 20-93 15-97 56. 24-12 52. 12 37 -0-54 105. 53. 13-45 106. 8. 38-80 8-03 13 Moon's U. L. ... 66. 11.47-50 30-10 52-75 2.11-05 15-34 54. 10-36 49. 24-26 0-54 103. 55. 38-81 104. 10.27-50 7-96 19 Moon's U. L. ... 63. 2. 53-75 29-98 56'75 I. 52-49 14- 7g 54. 6-55 48. 3-94 0-41 100. 47. 47-53 101. 2.35-17 7-96 21 Moon's U. L. ... 55. 29. 59-50 29-76 54 75 1.23-13 14-34 54. 25-92 44.40-66 0-16 93. 17.47-87 93. 32. 40-82 7-95 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tallies above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38". 31'. 20" -40. (14) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Correc- tion for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabulur Obliquity of Ecliptic. 23.28'. 1753. June 23 Moon's U. L. ... O t a 47.11.23-50 in. 29-66 o 50-75 / // 1. 2-04 // 14-29 / // 55. 24-98 / // 40. 27-59 +0-21 O 1 II 85. 3. 4-27 O f it 85. 18. 13-40 II 7-94 24 Moon's U. L. ... 43. fi. 31-00 29-69 51-75 0. 53-76 13-97 56. 8-92 38. 10-11 + 0-30 81. 0.21-38 81.15.42-57 7-94 26 Moon's U. L. ... 36. 5. 7-25 29-85 62-75 0.41-18 13-09 57. 56-84 33. 54-97 + 0-54 74. 3. 1-31 74. 18. 52-08 7-93 July 4 Moon's U. L. ... 45.35. 7-25 29-63 69-50 0. 56-44 14-21 60. 13-31 42. 48-06 -t-0'27 83. 24. 22-09 83. 40. 50-27 7-93 5 Moon's U. L. ... 50. 31. 32-00 29-73 70-75 1. 7-17 14-41 59. 33-89 45. 46-34 + 0-07 88. 17. 58-89 88. 34. 16-26 7-93 6 Moon's U. L. ... 55. 24. 44-00 29-95 73-75 1.20-28 14-34 58.48-36 48. 12-98 0-15 93. 8.57-21 93.25. 2-11 7-94 7 Moon's U. L. ... 59.57.51-25 29-72 81-75 1. 33 44 14-41 58. 1-05 50. 2-46 0-27 97. 40. 27-95 97.56.19-87 7-94 8 Moon's U. L, ... 63. 57. 30-25 29-84 69-25 1. 53-59 14-87 57. 15-37 51.16-12 -0-45 101.39.12-80 101. 54. 52-20 7-93 9 Moon's U. L. ... 67. 13. 15-00 29-83 65-75 2. 12-81 15-66 56. 33-45 51. 58-86 0-54 104. 54. 33-15 105. 10. 1-06 7'94 10 Moon's U. L. ... 69. 36. 48-00 29-77 69-75 2. 28-29 -16-41 55. 56 35 52. 16-63 -0-60 107. 18. 3'05 107. 33. 20-80 7-95 12 Moon's U.L. ... 71.29. 9-75 29-66 60-75 2. 46 61 17-31 54. 57-39 51.57-69 0-70 109.11. 1-06 109. 26. 2-63 7-96 13 Moon's U. L. ... 70. 56. 38-75 29-88 58-75 2. 43-49 1699 54. 35-61 51.27-05 067 108. 38. 57-93 108. 53. 53-53 ~-97 15 Moon's U. L. ... 67. 14. 14-50 29-45 54-75 2.14-17 15-69 54. 7-12 49. 44-74 -0-54 104.57.48-10 105. 12. 35-90 7-98 17 Moon's U. L. ... 60.53. 9-25 29-81 54-75 1.42-62 14-52 54. 0-97 47. 1-25 0-31 98.38.56-19 98. 53. 42-30 8-00 19 Moon's U. L. ... 53. 2.56-50 29-77 55-75 1. 15-85 14-36 54. 23-07 43. 16-59 0-05 90.52. 1-75 91. 6. 53-92 8-02 23 Moon's U. L. ... 37. 36. 38-00 30-13 54-75 0.44-64 1334 56.51-52 34. 29-48 + 0-54 75.34. 0-76 75. 49. 33 62 8-06 25 Moon's U. L. ... 33. 1.21-50 2993 57-75 0. 37-20 15-65 58. 46-94 31. 48-98 + 0-66 71. 1. 15-13 71. 17.19-63 8-09 Aug. 5 Moon's U. L. ... 65. 59. 47-25 29-34 64-75 2. 3-52 57. 18-90 52. 11-27 -0-54 103. 40. 59-36 103. 56. 39-73 8-23 9 Moon's U. L. ... 71. 4.32-00 29-54 58-75 2. 42-81 54.41-79 51.35-34 0-68 108.46.59-19 109. 1.56-49 8-27 11 Moon's L. L. ... 68. 29. 40-75 29-74 53-75 2. 24-45 54. 7-68 50. 12-50 0-54 106. 13. 12-56 105. 58. 24-61 8-30 10 Moon's U. L. ... 50.25. 5-50 29-42 52-75 1. 8-65 54. 28-61 41.47-85 + 0-07 88. 15. 46-77 88. 30. 40-45 8-37 18 Moon's U. L. ... 42. 29. 14-50 29-97 43-75 0. 53-98 55. 20-90 37. 11-03 + 0-34 80.24.18-19 80.39.26-21 8-40 19 Moon's U. L. ... 38. 58. 19-50 30-07 43-75 0. 47-85 55.58-13 34. 59-77 + 0-49 76. 55. 28-47 77. 10.46-70 8-42 20 Moon's U. L. ... 36. 1.16-25 30-12 53-75 0. 42-21 56. 42-32 33. 8-28 + 0-54 74. 0. 11-12 74.15.41-46 8-43 21 Moon's U. L. ... 33. 51. 22-25 30-10 53-75 0. 38-92 57. 33-03 31. 50-91 + 0-63 71.51 31-29 72. 7. 15-53 8-44 Sep. 6 Moon's L. L. ... 70. 44. 38-00 30-09 58-75 2. 42-83 54. 37-97 51.25-50 -0-65 108.27.15-08 108. 12. 18-82 8-59 7 Moon's L. L. ... 69. 4.59-75 29-90 58-75 2.28-13 54. 17-62 50. 33 92 0-56 106.48. 13-80 106. 33. 23-13 8-59 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE (15) Year, Month, nod Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1753. o < // in. o / // / // / Moon's U. L. ... 70. 58. 24-00 29-64 56-25 2. 43-27 55. 54-92 52. 42-36 -0-67 108. 39. 44-64 108. 55. 1-99 8-49 4 Moon's L. L. ... 69.40. 7-75 29-85 57-75 2. 32-76 54.41-86 51. 8-38 0-59 107.22.51-94 107. 7.54-62 8-47 5 Moon's L. L. ... 67.31.21-00 30-00 5675 2. 18-01 54.20-31 50. 3-36 0-54 105.14.55-51 105. 0. 4-10 8-16 6 Moon's L. L. ... 64. 43. 30-75 3003 5375 2. 2-00 54. 9-76 48. 49-08 0-46 102.28. 3-61 102. 13. 15-09 8-44 ? Moon's L. L. ... 61.24.32-50 29-92 55-50 1.45-07 54. 9-01 47. 22-83 0-31 99. 10. 14-83 98. 55. 26-52 8-44 8 Moon's L. L. ... 57.42. 6"25 29-75 54-75 1.30-31 54. 1(5-69 45. 42-36 0-24 95. 29. 14-36 95. 14. 23-94 8-41 10 Moon's L. L. ... 49. 39. 37-00 29-28 54-75 1. 6-24 54. 51-94 41.37-86 + 0-12 87. 30. 25-90 87. 15. 25-83 8-38 11 Moon's L. L. ... 45.38. 15-50 29-34 5275 0. 57-90 55. 16-43 39. 19-31 + 0-27 83. 31. 14-76 83. 16. 7-97 8-36 13 Moon's U. L. ... 38. 0. 5-50 29-80 49-75 0. 45-24 56. 13-01 34. 24-31 + 0-53 75. 57. 47-36 76. 13. 9-66 8-32 14 Moon's U. L. ... 35. 20. 7-50 29-91 49-25 0.41-25 56. 43-07 32. 35 63 + 0-56 73. 19. 34-08 73.35. 4-62 8-31 15 Moon's U. L. ... 33. 33. 13-00 29-75 49-75 0. 38 34 57. 13 55 31.25-04 -t-0-63 71. 33. 47-33 71.49.26-23 8-29 1C Moon's U. L. ... 32. 50. 15-00 29-81 40-75 0. 38-09 57. 44-17 31. 5-63 + 0-66 70.51. 8-52 71. 6.55-82 8-27 .19 Moon's L. L. ... 38.16.30-75 29-82 36-75 0. 46 96 59. 10-65 36. 26-50 + 0-54 76.12.12-15 75.56. 1-14 8-20 31 Moon's L. L. ... 70. 20. 39-00 29-52 38-75 2. 42-91 55. 16-46 51.54-22 0-62 108. 2.47-47 107. 47. 40-67 7-94 Nov. 2 Moon's L. L. ... 65. 55. 15-75 29-55 42-75 2. 9-6S 54. 23-94 49. 30-45 -0-52 103. 39. 14-86 103. 24. 22-45 7-89 4 Moon's L'. L. ... 59. 13.42-75 30-09 50-75 1. 37-72 54. 14-71 46. 26-25 0-27 97. 0. 14-35 96. 45. 24-48 783 5 Moon's L. L. ... 55.21.51-50 29-70 40-75 1. 24-95 54. 25 86 44. 36-40 -0-13 93. 10. 0-32 92.55. 7-39 7-81 8 Moon's L. L. ... 43. 20. 53-50 29-86 35-75 0. 56-36 55. 46-34 38. 5-12 + 0-31 81. 15. 5-45 80. 59. 50-45 7-73 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. I J . D of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (") The remark in the original observations is, " past the last wire." The computation was made on the supposition that the limb was passing the last wire. Correction applied for distance from middle wire, + 7" -31. ( b ) Observed at first wire. Correction applied for distance from middle wire, + 0"'57. Correction applied for defective illumi- nation, + 0"'47. (') Observed at middle wire. (16) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Correc- Geocentric Geocentric Tabulai Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. tion for Curva- ture of Path. N.P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. N. P. D. of Center at Transit of 1 L. or 2 L. Obliquity of Ecliptic. 23.2B'. 1753. O ' /' in. / // / a / // // O /' O / " ft Nov. 10 Moon's L. L. (') . . 36.46. 4-25 29-61 33-75 0. 44-44 56. 57-94 33. 53-40 + 0-54 74. 44. 16-23 74.28.41-60 7-68 Moon's U. L. ("). . 36. 14. 28-75 0. 43-60 56. 58-00 33. 28-07 74. 13. 3-80 74. 28. 38-44 11 Moon's U. L. ... 34. 3.19-25 29-20 37-75 0. 39-32 57.31-99 32. 0-48 + 0-62 72. 3. 19-11 72. 19. 3-06 766 13 Moon's L. L. ... 33. 30. 46-00 29-88 32-75 0. 39-83 58.27-17 32. 3-49 + 0-66 71.30.43-40 71.14.44-31 7-61 16 Moon's L. L. ... 40. 42. 26-50 2939 33-75 0. 50-78 59. 8-71 38. 21-66 + 0-44 78. 36. 16-46 78.20. 5-99 7-53 18 Moon's L. L. ... 49.29. 8-25 29-29 32-75 1. 8-93 59. 12-01 44.48-19 + 0-13 87. 16. 49-52 87. 0.38-14 7-48 19 Moon's L. L. ... 54. 15.48-75 29-69 31-75 1.23-10 59. 6-12 47. 46-72 0-08 92. 0.45-45 91.44.35-69 7-46 20 Moon's L. L. ... 58. 55. 3-25 29-83 32-75 1.39-36 58. 53-96 50. 15-44 0-27 96. 37. 47-30 96.21.40-87 7-43 29 Moon's L. L. ... 67. 13. 9-50 29-77 32-25 2. 22-02 54.41-60 50. 16-29 0-54 104. 56. 35-09 104.41.37-85 7-26 30 Moon's L. L. ... 64. 17. 32-50 29-81 31-75 2. 4-37 54. 22-20 48. 49-66 0-44 102. 2. 7-17 101.47. 15-24 7-24 Dec. 2 Moon's L. L. ... 57. 8.42-75 30-20 37-75 1. 32-94 54. 14-48 45. 23-47 0-20 94. 56. 12-42 94.41. 22-61 7-20 3 Moon's L. L. ... 53. 11.30-50 30-17 32-75 1.21-04 54.27-21 43. 24-88 0-03 91. 0.47-03 90. 45. 53-72 7-17 6 Moon's L. L. ... 41. 25. 56-00 30-17 29-75 0. 53-93 56. 3-93 36. 53-92 + 0-40 79.21. 16-81 79. 5. 56-99 7-13 7 Moon's L. L. ... 38. 6. 59-75 29-91 29-75 0. 47-53 56.49-19 34.51-98 + 0-54 76. 4. 16-24 75.48.44-01 7-11 8 Moon's L. L. ... 35.29. 2-75 30-05 26-75 0. 43-67 57. 35 66 33. 13-27 + 0-58 73.27.54-13 73.12. 9-17 7-10 9 Moon's L. L. ... 33. 47. 48-75 30-02 27-75 0. 40-89 58. 19-37 32. 13-67 + 0-65 71.47.37-02 71.31.40-07 7-09 17 Moon's L. L. ... 57. 20. 44-00 29-40 45-75 1. -29-67 58. 40-23 49. 12-50 0-21 95. 4.21-36 94. 48. 18-69 7-00 29 Moon's L. L. ... 58. 54. 8-50 30-22 29-75 1.41-24 54. 6-77 46. 9-96 0-27 90.40.59-91 96.26.12-21 6-97 30 Moon's L. L. ... 55. 2. 32-50 30-12 26-75 1.27-58 54. 8-84 44. 12-04 0-11 92.51. 8-33 92. 36. 20-07 6-97 31 Moon's L. L ... 51. 3.53-00 30-11 2475 1. 16-22 54. 21-64 42. 6-04 + 0-07 88. 54. 23-65 88.39.31-87 6-98 1754. Jan. 2 Moon's L. L. 43. 17. 30-25 30-00 34-75 0. 56-63 55. 19-35 37.44-31 -I-0-32 81. 12. 3-29 80. 56. 55-70 6-97 3 Moon's L. L. ... 39. 48. 1-25 30-00 32-75 0. 50-30 56. 3-09 35. 40-62 + 0-47 77.44.31-80 77. 29. 12-21 6-98 5 Moon's L. L. ... 34. 38. 9-75 29-44 37-75 0. 40-51 57.49-91 32.39-41 + 0-62 72. 37. 31-87 72.21.43-01 6-99 6 Moon's L. L. ... 33. 27. 35-00 29-19 36-75 0. 38'51 58. 44-99 32. 10-53 + 0-67 71.27.24-05 71. 11. 20-08 6'99 7 Moon's L. L. ... 33.31.28-00 29-30 31-75 0.39-16 59. 34-33 32. 40-92 + 0-66 71.30.47-30 71.14.29-80 7-00 8 Moon's L. L. ( c ). . 34.56.19-50 29-31 28-75 0.41-57 60. 12-47 34. 15-60 + 0-60 72.54. 6-47 72. 37. 38-52 7-01 Moon's U. L. ( d ). . 34. 23. 16-00 0. 40-72 60. 12-54 33.46-97 -r-0-60 72. 21. 26-46 72. 37. 54 43 9 Moon's L. L. ... 37.39. 1-50 29-78 35-75 0. 45-95 60. 35-08 36. 47-21 + 0-54 75.34.21-18 75. 17. 47-04 7-02 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L was passing the Meridian. The Geocentric N. F. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co- Latitude 38. 31'. 20'' -40. (") Observed at Transit of 1 L. ( b ) Observed at Transit of Center. Correction applied for defective illumination, 0"'88. Increase of N. P. D. during passage of Semidiameter = 7"' 11. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," "Geocentric N. P. D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( c ) Observed at Transit of 1 L. ( d ) Observed at Transit of 2 L. Correction applied for defective illumination, 4"- 29. SECT. II. INVESTIGATION OF MOON'S NOKTH POLAK DISTANCE. Year, Montli, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equate real Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23 J .28'. 1754. Jan. 11 Moon's L. L. ... o i a 45. 55. 30-25 in. 29-55 o 30-75 / // 1. 1-66 // 60. 28-44 ' n 43. 14-03 ii + 0-27 o / // 83. 44. 38-55 o i 83.28. 6-22 // 7-04 17 Moon's L. L. ... 69. 45. 16-50 29-61 42-75 2. 37-02 56. 43-98 53. 4-36 0-59 107.26. 8-97 107.10.38-17 7-10 18 Moon's L. L. ... 71. 6.23-75 30-05 36-75 2. 53-67 56. 9-18 52. 58-65 0-65 108. 47. 38-52 108. 32. 17-26 7-12 27 Moon's L. L. ... 52. 45. 47-00 29-46 29-75 1. 18-42 54. 3-18 42.51-16 0-01 90. 35. 34-65 90. 20. 47-94 7-23 30 Moon's L. L. ... 41. 25. 54-50 30-10 28-75 0. 53-92 55. 9-30 36. 17-98 + 0-40 79.21.51-24 79. 6.46-40 7-28 31 Moon's L. L. ... 38. 17. 33-75 30-31 23-75 0. 49-10 55.51-13 34. 24-48 -fO-54 76. 15. 19-31 76. 0. 3-00 7-31 Feb. 3 Moon's L. L. ... 33. 29. 29-00 29-53 26-25 0. 39-88 58.41-03 32. 10-00 + 0-66 71.29. 19-94 71.13.17-05 7-35 4 Moon's L. L. ... 34. 7.27-75 29-37 2625 0. 40-62 59. 39-59 33. 14-96 + 0-63 72. 6.14-44 71.49.55-50 7-37 5 Moon's L. L. ... 36. 4.51-25 29-23 20-25 0. 44-03 60. 29-09 35. 23-99 + 0-55 74. 1.32-24 73. 44. 69-74 7-38 6 Moon's L. L. ... 39. 16. 33-75 29-39 14-75 0. 50-28 61. 3-63 38. 26-04 + 0-50 77. 10. 18 89 76. 53. 36-92 7-40 7 Moon's L. L. ... 43.28. 19-25 29-70 17-75 0. 58-50 61. 18-79 41. 57-95 + 0-31 81. 18.40-51 81. 1.54-39 7-41 13 Moon's L. L. ... 68. 52. 39-50 29-81 37-25 2. 32-80 57. 25-54 53. 24-49 0-55 106. 33. 7-66 106. 17. 25-47 7-51 28 Moon's L. L. ... 36. 49. 46-25 30-20 47-75 0.44-12 55. 43-35 33.11-89 + 0-54 74. 48. 39-42 74. 33. 25-24 7-69 Mar. 1 Moon's L. L. ... 34.51.23-00 30-04 43-75 0.41-16 56. 28-62 32. 4-22 + 0-61 72. 51. 20-95 72. 35. 54-36 7-69 2 Moon's L. L. ... 33.48.10-50 30-00 43-75 0. 39-52 57.21-27 31.41-85 + 0-65 71. 48. 29-22 71. 32. 48-20 7-70 3 Moon's L. L. ... 33. 50. 20-00 30-15 44-75 0. 39-69 58. 19-00 32. 15-58 + 0-65 71.50. 5-16 71.34. 8-31 7-70 4 Moon's U. L. ... 34. 31. 57-00 30-20 42-75 0.40-97 59. 17-65 33. 23-58 + 0-60 72. 30. 35-39 72. 46. 48-31 7-71 5 Moon's U. L. ... 36. 59. 28-50 30-20 41-25 0. 44-98 60. 11-82 35. 59-92 -t- 0-54 74. 55. 34-50 75.12. 2-27 7-71 6 Moon's U. L. ... 40. 33. 52-50 30-40 35-75 0. 52-04 60. 54-66 39. 23-37 + 0-42 78.26.41-99 78.43.21-50 7-73 7 Moon's U. L. ... 45. 0.39-00 30-18 33-75 1. 0-61 61.20-68 43. 10-01 +0-27 82. 49. 50-27 83. 6. 36-91 7-73 9 Moon's L. L. ... 55.37. 0-00 29-77 27-75 1.28-35 61. 9-34 50. 16-25 0-14 93.19.32-36 93. 2.48-82 T75 28 Moon's L. L. 35.29. 2-75 30-12 42-25 0. 42-37 55.51-91 32.13-41 +0-57 73. 28. 52-68 73. 13. 36-16 7-68 31 Moon's U. L. ... 34. 0. 10-00 29-75 31-75 0. 40-49 58. 0-83 32. 13-70 + 0-62 71. 59.57-81 72. 15. 49 66 7-65 Apr. 2 Moon's U. L. ... 38. 52.11-00 29-59 36-75 0. 47-60 59. 38-00 37. 12-29 + 0-49 76.47. 7-20 77. 3.25-70 7-62 3 Moon's U. L. ... 42. 47. 8 '00 29-81 37-75 0. 54-94 60. 19-40 40. 45-46 + 0-32 80. 38. 38-20 80.55. 8-05 7-61 4 Moon's U. L. ... 47.23.18-50 29-66 42-75 1. 3-51 60. 48-85 44. 32-55 + 0-20 85. 11. 10-06 85. 27. 47-98 7-59 5 Moon's U. L. ... 52.21. 8-00 29-70 49-75 1. 14-71 61. 1-81 48. 6-88 o-oi 90. 5. 36-22 90. 22. 17-69 7-58 The Moon's U. L. or L. L. was usually observed wlien the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" "40. - GREENWICH LUNAR REDUCTIONS. (18) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. f U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular bHquity of Ecliptic. 23.28'. 1754. Apr. 7 Moon's L. L. ... O 1 It 62. 23. 49-00 29-92 o 44-75 / it 1. 51-92 / // 60. 30-52 / // 53. 26-26 II 0-35 o / // 100. 3. 34-71 O 1 II 99.47. 1-82 // 7-55 8 Moon's L. L. ... 66. 10.39-50 29-80 44-75 2. 1 1-79 59. 49-31 54. 33-12 0-52 103.49.38-05 103.33. 16-45 7-52 12 Moon's U. L. ... 69.58. 19-50 30-16 40-75 2. 42-46 56. 8-34 52. 35-24 0-63 07. 39. 46-49 107.55. 7-52 7-46 28 Moon's U. L. ... 35. 7.38-00 29-90 48-75 0. 40-96 58. 2-87 33. 11-14 + 0-57 73. 6.28-79 73. 22. 21-21 7-14 30 Moon's U. L. ... 41. 11. 45-25 29-96 50-75 0. 50-84 59. 12-14 38. 46-66 + 0-39 79. 5. 10-22 79.21.21-63 7-09 May 1 Moon's U. L. ... 45.25.21-50 30-03 50-75 0. 59-06 59. 41-79 42. 18-56 + 0-27 83. 15. 22 67 83. 31. 42-21 7-08 2 Moon's U. L. ... 50. 7. 4-00 30-08 46-75 1. 10-30 60. 3-92 45. 53-05 + 0-09 87. 53. 41-74 88.10. 7-35 7-05 3 Moon's U. L. ... 54. 58. 38-00 29-91 46-75 1. 23-29 60. 15-13 49. 8-46 -0-14 92. 42. 13-09 92. 58. 41-77 7-03 4 Moon's U. L. ... 59. 39. 41-00 29-67 46-75 1. 38-83 60. 12-77 51.46-49 0-27 97. 20. 53-47 97.37.21-50 7-01 5 Moon's U. L. ... 63. 49. 31-75 29-40 54-75 1. 54-55 59. 55-69 53. 36-00 0-44 101.29. 1026 101. 45. 33 61 6-98 6 Moon's L. L. (") . . Moon's U. L.(").. 67.41.55-00 67. 9.24-75 29-54 47-75 2. 19-62 2. 15-99 59. 24-55 59. 24-52 54. 47-82 54. 34-56 0-54 0-54 105. 20. 46-75 104. 48. 26-04 105. 4.31-94 105. 4.40-84 6-96 28 Moon's U. L. ... 43. 53. 40-00 30-02 54-75 0. 55-53 59. 7-93 40.47-15 + 0-27 81.45. 9-05 82. 1. 19 31 6-51 30 Moon's U. L. ... 53. 7. 17-00 29-75 56-75 1. 15-84 59.28-15 47. 22-09 0-05 90. 52. 31-10 91. 8.46-90 6-47 31 Moon's U. L. ... 57. 47. 29-00 29-85 56-75 1. 30-53 59. 28-70 50. 7-91 0-26 95. 30. 11-76 95.46.27-71 6-46 June 2 Moon's U. L. ... 65.46.11-25 29-65 56-75 2. 5-53 59. 4-17 53.41-40 0-53 103. 25. 55-25 103.42. 4-48 6-43 3 Moon's U. L. ... 68. 31. 43-50 29-58 52-75 2. 24-22 58. 38-09 54. 23-87 -0-56 106. 11. 3-69 106.27. 5-77 6-42 5 Moon's U. L. ... 70.42.11-50 29-65 55-75 2. 41-08 57.24-80 54. 1-72 -0-65 108.22.10-61 108. 37. 52-60 6-38 6 Moon's U. L. ... 70. 4.37-50 29-81 50-75 2.38-16 56. 42-68 53. 9-52 0-63 107. 45. 25-9 108. 0.56-35 6-36 14 Moon's U. L. 44. 8. 2-25 29-43 59-75 0. 54-34 54. 42-35 37. 53-82 -I-0-27 82. 2.23-44 82.17.20-89 6-29 24 Moon's U. L. 42. 23. 38-25 29-80 60-75 0.51-68 69.25-14 39. 50-80 + 0-34 80. 15. 59-87 80. 32. 14-84 6-24 29 Moon's U. L. ... 64. 26. 52-00 29-80 5975 1.58-12 58. 38-84 52. 44-02 0-46 102. 7. 26-04 102. 23. 28-32 6-24 July 2 Moon's U. L. 70. 36. 40-00 30-02 58-75 2.41-27 57. 16-47 53. 52-04 0-65 108. 16. 48-98 108.32.28-68 6-26 4 Moon's U. L. 69. 19. 49-50 29-95 61-75 2. 29-38 66. 8-89 52. 22-50 0-60 107. 1.16-18 107.16.37-36 6-26 13 Moon's U. L. 39. 1.14-25 29-66 60-75 0. 45-67 55. 16-40 34. 35-84 + 0-49 76. 58. 44-97 77.13.51-75 6-33 22 Moon's U. L. 44. 57. 10-00 2965 64-75 0. 55-77 60. 12-54 42. 19-41 + 0-27 82.47. 7-03 83. 3. 35-00 6-42 25 Moon's U. L. 59. 4.31-00 29-73 66-75 1. 32-92 59. 21-67 50.43-88 0-27 96.46.40-17 97. 2.54-20 6-47 26 Moon's TJ. L. 63. 8. 47-00 29-90 66-75 1.50-43 58. 50-05 52. 18-51 0-41 100. 49. 38-9 101. 5.44-27 6-48 The Moon's U. L. or L. L. WHS usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb whicli was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-t.atitude 38. 31'. 20" '40. () Observed at Transit of 1 L. Correction applied for defective illumination, + 0"'09. (") Observed at Transit of 2 L. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (19) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P.O. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1754. o < in. o / / // / // // / II t it " July 31 Moon's U. L. ... 69.48.31-75 29-82 58-75 2. 33-42 56. 2-05 52. 25-98 0-62 107. 29. 58-97 107. 45. 18-28 6-57 Aug. l Moon's U. L. ... 63. 7.22-00 29-77 57-75 2. 20-76 55. 32-31 51. 22-73 0-54 105. 49. 39-89 106. 4.51-03 6-58 2 Moon's U. L. ... 65. 39. 2-25 29-75 58-75 2. 4-76 55. 5-29 50. 1-42 0-52 103. 22. 25-47 103. 37. 29-20 6-60 3 Moon's U. L. ... 62. 33. 55-50 29-75 56-75 1. 49-36 54.41-73 48. 22-49 0-38 100. 18. 42-39 100. 33. 39-67 6-61 4 Moon's U. L. ... 59. 3. 14-00 29-68 56-75 1. 34-57 54. 22-68 46. 27-74 0-27 96. 49. 40-96 97. 4.33-02 6-63 8 Moon's V. L. ... 43. 51. 55-00 29-75 54-75 0. 54-97 54. 17-69 37. 25-74 + 0-27 81.46.44-90 82. 1.35-59 6-69 9 Moon's U. L. ... 40. 29. 34-50 30-00 50-75 0. 49-66 54. 39-82 35. 17-81 +0-42 78.26.27-17 78.41.23-93 6-71 10 Moon's U. L. ... 37. 34. 39-75 30-05 52-75 0. 44-65 55. 12-29 33. 27-77 +0-54 75. 33. 17-57 75. 48. 23-23 6-73 13 Moon's TJ. L. ... 33. 18. 28-75 29-93 60-50 0. 37-40 57.41-33 31.27-89 +0-65 71.18.59-31 71.34.45-83 6-78 21 Moon's TJ. L. ... 57. 12. -22-00 29-71 66-75 1. 26-38 60. 25-50 50. 35-79 0-23 94. 54. 32-76 95. 11. 4-28 6-89 23 Moon's U. L. ... 65. 17. 14-00 29-72 67-75 2. 0-39 59. 3-11 53. 27-98 0-50 102. 57. 6-31 103. 13. 15-24 6-92 25 Moon's U. L. ... 69. 46. 18-25 29-66 65-75 2. 30-15 57. 28-07 53. 45-68 0-62 107. 26. 22-50 107.42. 5-39 695 26 Moon's U. L. ... 70. 24. 43-50 30-07 64-75 2. 37-88 56. 44-56 53. 18-04 0-64 108. 5.23-10 108. 20. 54-06 6-97 27 Moon's U. L. ... 70. 0.29-00 29-96 60-75 2. 35-17 56. 5-55 52. 33-31 0-63 107. 41. 50-63 107.57. 10-89 6-98 28 Moon's L. L. ... 69. 9.32-75 30-04 54-75 2. 30-62 55. 31-56 51.44-36 0-56 106.51.38-85 106. 36. 27-91 7-00 30 Moon's L. L. ... 64. 8.37-50 30-00 58-75 1.57-57 54. 39-14 49. 1-12 0-43 101.52.53-92 101. 37. 57-35 7-02 31 Moon's U. L. ... 60. 18. 44-50 30-09 56-75 1.40-80 54. 20-58 47. 2-24 0-28 98. 4.43-18 98. 19. 34-66 7-03 Sep. 1 Moon's U. L. (") . . Moon's L. L. (") . . 56. 39. 19-25 57. 8.57-50 30-13 51-25 1.28-51 1.30-19 54. 6-97 54. 6-93 45. 1-77 45. 17-26 0-21 0-21 94.27. 6-18 94. 56. 31-54 94.41.53-93 94. 41. 43-80 7-04 2 Moon's U. L. ... 52. 49. 12-50 30-19 49-75 1. 17-23 53. 58-83 42. 49-52 0-04 90.39. 0-57 90. 53. 46-09 7-05 4 Moon's TJ. L. ... 45. 14. 20-00 30-04 49-75 0. 58-83 54. 1-66 38. 10-16 + 0-27 83. 8.29-34 83. 23. 15-64 7-07 5 Moon's U. L. ... 41. 46. 25-25 30-09 49-25 0. 52-26 54. 14-25 35.56-16 + 0-36 79.42.42-11 79. 57. 31-86 7-08 6 Moon's U. L. ... 38. 43. 7-00 30-02 56-75 0. 46-10 54. 35-48 33. 56-78 + 0-49 76.41. 17-21 76. 56. 12-77 7-09 8 Moon's TJ. L. ... 34. 26. 23-50 29-88 49-75 0. 39-82 55. 45-69 31. 19-72 + 0-60 72.27. 4-60 72. 42. 19-42 7-10 11 Moon's L. L. ... 35. 24. 44-25 29-96 52-25 0.41-18 58. 29-93 33. 40-96 + 0-58 73.23. 5-45 73. 7. 5-60 7-11 21 Moon's U. L. ... 69. 9. 59-50 30-13 59-25 2. 29-76 58. 32-06 54. 32-47 0-59 106. 49. 16-60 107. 5.17-03 7-13 22 Moon's TJ. L. ... 70. 12. 48-00 30-19 58-25 2. 38-89 57. 34-91 54. 1-29 0-63 107. 52. 45-37 108. 8.30-12 7-12 23 Moon's L. L. ... 70.40.11-75 29-99 58-75 2.41-63 56. 41-84 53. 20-86 0-63 108. 20. 52-29 108. 5.22-08 7-12 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. wa 8 passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (") Observed at Transit of 1 L. ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 4- 0" '92. (D)2 (20) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion, Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2328'. 1754. Sep. 24 Moon's L. L. ... o / a 69.36. 1-75 in. 30-01 o 57-75 / // 2. 33-02 / // 55. 55-47 52. 15-80 // 0-59 Q 1 II 107.17.38-78 O / /' 107. 2.21-28 // 7-12 25 Moon's L. L. ... 67. 40. 16-50 29-96 61-75 2. 17-44 55. 17-05 50. 58-92 0-54 105. 22. 54-88 105. 7.47-92 7-12 26 Moon's L. L. ... 65. 2.47-00 29-87 60-25 2. 1-50 54. 46-59 49. 30-12 0-47 102.4(5.38-31 102. 31. 39-70 7-11 27 Moon's L. L. ... 61.53. 6-50 30-00 54-75 1. 47-61 54. 23-75 47. 48-66 0-33 99. 38. 25-52 99.23.33-17 7-11 28 Moon's L. L. ... 58. 20. 53-00 30-22 50-75 1.34-82 54. 8-23 45. 54-75 0-27 96. 7. 53-20 95.53. 5-10 7-10 29 Moon's L. L. ... 54. 34. 58-75 30-22 51-75 1.22-09 53.58-90 43. 48-88 0-09 92. 23. 52 27 92. 9. 6-73 7-09 30 Moon's L. L. ... 50. 44. 18-75 30-10 53-75 1. 10-89 53. 55-82 41.34-37 + 0-08 88. 35. 15-75 88.20.31-05 7-08 Oct. 1 Moon's U. L. ... 46. 27. 19-00 30-00 51-75 1. 1-04 53. 58-32 38. 55-76 + 0-25 84. 20. 44-93 84. 35. 30-31 7-07 3 Moon's U. L. ... 39. 40. 46-50 30-28 4(5-75 0.49-10 54. 20-61 34. 39-98 + 0-45 77. 38. 16-47 77.53. 7-96 7-05 6 Moon's U. L. ... 33.46. 10-50 29-32 46-25 0. 38-37 55. 43-55 30.46-12 + 0-63 71.47.23-78 72. 2.38-01 7-01 7 Moon's U. L. 33. 30. 19-75 29-56 37-75 0. 38-98 56. 25-90 30. 56-52 + 0-64 71.31.23-25 71.46.49-09 7-01 9 Moon's L. L. ... 36. 38. 30-00 29-03 52-75 0. 41-70 58. 8-80 34. 29-36 + 0-54 74. 36. 3-28 74.20. 9-23 6-98 10 Moon's L. L. ("). . 39. 30. 38-75 29-30 49-75 0. 46-94 59. 4-36 37.22-15 + 0-49 77. 25. 24-43 77. 9.15-15 6-96 21 Moon's L. L. ... 70. 9. 17-50 30-13 58-75 2. 37-90 56. 53-34 53. 21-32 0-01 107. 49. 53-87 107. 34. 20-51 6-80 22 Moon's L. L. ... 68. 29. 12-50 29-93 56-25 2. 24-57 56. 1-14 51. 57-58 0-54 106. 10.59-35 105. 55. 40-29 6-77 23 Moon's L. L. ... 66. 3. 1-75 29-86 48-75 2. 10-20 55. 17-66 50. 22-41 -0-52 103.46. 9-42 103.31. 2-29 6-75 24 Moon's L. L. ... 63. 1. 51-25 29-72 53-75 1.52-12 54. 43-94 48. 36-91 0-38 100.46.26-48 100.31.28-60 6-74 26 Moon's L. L. ... 55. 53. 16-00 29-19 54-75 1. 22-72 54. 5-80 44. 36-58 0-15 93.41.22-39 93. 26. 34-96 6-69 28 Moon's L. L. ... 48. 13. 20-50 29-12 41-75 1. 4-33 54. 1-39 40. 5-98 + 0-18 86. 5. 39-43 85.50.53-21 6-66 29 Moon's L. L. ... 44. 32. 42-50 29-41 40-75 0. 57-27 54. 9-20 37. 47-71 + 0-27 82. 27. 12-73 82. 12. 24-37 6-63 Nov. 5 Moon's L. L. ... 35. 47. 47-50 29-62 40-75 0. 42-28 57. 13-39 33. 15-63 + 0-56 73.46.35-11 73. 30. 56-25 6-47 6 Moon's L. L. ... 38. 15. 12-50 29-33 35-75 0. 46-25 57. 55-42 35.39-14 + 0-54 76. 11.40-55 75.55.50-18 6-45 7 Moon's L. L. ... 41.36.25-75 29-14 35-75 0. 51-75 58. 39-25 38. 44-21 + 0-39 79. 29. 54-08 79. 13. 51-68 6-42 10 Moon's L. L. ... 55. 6.53-00 29-11 43-75 1.21-98 60. 28-87 49. 24-82 0-11 92.50. 10-45 92. 33. 38-00 6-35 18 Moon's L. L. ... 69. 29. 34-50 30-09 46-75 2. 36-07 57. 4-26 53. 17-85 0-58 107. 10. 12-54 106.54.36-18 6-20 19 Moon's L. L. ... 67. 18.47-50 30 12 42-75 2.21-17 56.11-42 51.40-98 0-54 105. 0.47-55 104. 45. 25-68 6-17 20 Moon's L. L. ... 64. 26. 52-00 30-09 39-75 2. 4-28 55. 25-99 49. 50-86 0-45 102. 10. 25-37 101. 55. 15-96 6-15 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. 0. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. I), is formed by adding to the corrected Quadrant Reatling the Adopted Co-Latitude 3& .31'. 20" -40. () In Dr. Bradley's MS. observations, the reading by " Interior Divisions" has been altered from 39" to 29" , to make it agree with the reading by " Exterior Divisions ;" here the unaltered reading by " Interior Divisions" is used. SECT. II. INVESTIGATION OF MOON'S NORTH POLAII DISTANCE. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. fU.L.or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular )bliquity of Ecliptic. 3. 28'. 1754. Nov. -21 Moon's L. L. ... O 1 II 61. 5.45-00 in. 30-04 38-75 / // 1.47-81 / n 54. 49-89 / // 47. 49-94 ii 0-29 O 1 /' 98.51. 2-98 O 1 // 98.36. 3-46 a 6-14 24 Moon's L. L. ... 49.44. 2-00 28-97 44-75 1. 7-07 54. 6-06 41. 5-76 + 0-12 87. 35. 23-83 87. 20. 36-33 6-07 26 Moon's L. L. 42. 25. 40-00 29-41 31-25 0. 54-26 54. 24-50 36. 30-74 4-0-36 80.21.24-28 80. 6.31-72 6-03 27 Moon's L. L. ... 39. 16. 58-25 29-55 27-75 0.49-17 54. 44-45 34. 27-65 + 0-49 77. 14.40-66 76. 59. 42-63 6-02 28 Moon's L. L. ... 36.41.54-75 30-00 26-75 0. 45-59 55. 8-91 32. 45-33 -t-0-54 74.41.15-95 74.26.11-22 5-99 29 Moon's L. L. ( a ) . . Moon's U. L. ("). . 34. 50. 52-00 34.20. 6-00 30-09 24-75 0. 42-90 0. 42-09 55. 36-75 55. 36-81 31.34-38 31. 9-71 + 0-61 + 0-61 72.51.21-53 72. 20. 56-22 72.36. 9-16 72.36. 8-61 5-98 30 Moon's L. L. ... 33. 53. 33-00 30-00 24-75 0.41-27 56. 6-65 31. 5-00 + 0-65 71. 54. 30-32 71. 39. 9-75 5-97 Dec. 1 Moon's L. L. ... 33.57. 4-50 29-96 26-75 0.41-13 56.37-18 31. 24-81 + 0-64 71.57.41-86 71. 42. 12-93 5-95 9 Moon's L. L. ... 62. 8. 59-75 29-21 46-75 1. 47-69 59. 50-31 52. 43-49 0-34 99. 49. 24-01 99.33. 2-13 5-85 17 Moon's L. L. ... 66. 3.21-50 29-84 35-75 2. 13-72 56. 11-96 51. 12-03 0-52 103. 45. 43-07 103.30.21-05 5-79 18 Moon's L. L. ... 62.51. 1-25 30-14 38-75 1. 56-39 55. 29-49 49. 12-61 0-37 100.35. 5-06 100. 19. 54-68 5-79 19 Moon's L. L. ... 59.14.44-75 30-31 34-75 1.41-83 54. 54-60 47. 0-95 0-27 97. 0.45-76 96. 45. 44-95 5-78 20 Moon's L. L. ... 55. 25. 10-00 30-15 36-75 1.27-15 54. 29-16 44.40-91 -0-14 93. 13. 16-50 92. 58. 22-66 5-78 26 Moon's L. L. ... 35. 35. 50-50 29-95 40-75 0. 42-44 55. 35-03 32. 9-05 + 0-57 73. 35. 44-86 73. 20. 32-97 5-77 28 Moon's L. L. ... 33.46.31-00 30-20 35-75 0.40-41 56. 49-52 31. 22-94 + 0-65 71. 47. 9-52 71.31.37-20 5-78 1755. Jan. 3 Moon's L. L. ... 51.27.49-00 30-07 32-75 1.15-91 59. 10-06 46. 4-90 + 0-05 89. 14.20-46 88.58. 9-61 5-81 17 Moon's L. L. ... 53.25. 6-50 29-61 28-75 1. 20-88 54. 27-28 43. 32-78 0-05 91.14.14-95 90.59.21-62 5-97 22 Moon's L. L. ... 36.42. 3-50 29-99 31-75 0. 45-09 55. 9-14 32. 45-59 + 0-54 74. 41. 23-94 74.26.19-15 6-05 23 Moon's L. L. ... 34. 53. 34-00 30-19 29-75 0. 42-66 55. 47-73 31. 42-77 + 0-61 72. 53. 54-90 72. 38. 39-52 6-07 24 Moon's L. L. ... 33. 57. 55-50 30-12 26-75 0.41-37 56. 32-70 31. 23-02 + 0-64 71.58.34-89 71.43. 7-19 6-09 27 Moon's L. L. ( c ) . . Moon's U. L. ("). . 37. 37. 30-25 37. 5. 12-75 29-46 30-75 0. 45-90 0. 45-02 58. 49 53 58. 49-59 35. 41-88 35. 15-45 + 0-54 + 0-54 75. 33. 55-21 75. 2. 0-65 75.17.49-99 75. 18. 5-88 614 31 Moon's L. L. ... 54.24.50-75 29-92 32-75 1.24-03 59. 49-04 48. 26-93 0-09 92. 9. 8-16 91. 52. 46-64 6-22 Feb. 1 Moon's L. L. ... 59. 0.22-00 29-94 30-75 1. 40-50 59. 35-76 50. 53-97 0-27 96. 42. 28-66 96. 26. 10 78 623 2 Moon's L. L. ... 63. 8.46-50 29-85 30-75 1. 58-72 59. 15-32 52.41-25 0-38 100. 49. 23-99 100. 33. 11-70 625 3 Moon's L. L. ... 66. 34. 28-50 30-11 26-75 2. 20-93 58. 50-15 53. 49-08 0-54 104. 14. 20-21 103.68. 14-83 6-28 18 Moon's L. L. ... 37. 52. 18-00 29-92 38-75 0. 46-25 54 -34-28 33. 18-13 + 0-54 75.51. 7-06 75.36.11-82 653 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. . The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the 1 ransit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co- Latitude 38. 31'. 20" -40. (") Observed at Transit of 1 L. ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 3"' 17. ( c ) Observed at Transit of 1 L. ( d ) Observed at Transit of 2 L. Correction applied for defective illumination, 2"' 61. (22) KEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Kquatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1755. Mar. 22 Moon's U. L. ... o / // 34. 56. 20-50 29-47 o 38-75 / 0. 40-93 / // 57. 18-93 / a 32. 36-76 // + 0-58 o t n 72. 55. 45-65 O t II 73. 11. 26-03 // 6-78 23 Moon's U. L. ... 37. 9. 1-50 29-52 37-75 0. 44-55 58. 18-81 35. 0-09 + 0-54 75. 6. 6-90 75.22. 3-70 6-77 25 Moon's U. L. ... 44. 24. 43-50 29-50 46-75 0. 56-47 60.11-89 41. 54-70 + 0-27 82. 15. 5-94 82. 31. 33-73 6-76 28 Moon's L. L. ... 59. 24. 42-50 29-90 46-75 1.38-62 61. 18-24 52. 34-84 -0-27 97. 5. 641 96. 48. 20-44 6-75 29 Moon's L. L. ... 63. 43. 29-25 30-05 40-75 1. 59-99 60. 59-90 54. 30-83 0-41 101. 22, 18-40 101. 5.37-45 6-75 Apr. 17 Moon's U. L. ... 33.31.18-50 29-95 59-75 0. 37-78 55. 33-28 30. 28-44 + 0-64 71.32.48-88 71.48. 0-29 6-51 18 Moon's U. L. ... 34. 17. 19-00 30-04 56-75 0. 39-24 56. 15-53 31.29-13 + 0-61 72. 17. 50-12 72.33.13-11 6-50 19 Moon's U. L. ... 36. 2. 19-75 29-98 57-75 0.41-70 57. 5-29 33. 22-55 + 0-54 74. 0.59-84 74. 16. 36-48 6-47 20 Moon's U. L. ... 38. 44. 51-50 29-98 58-25 0. 45-95 58. 0-60 36. 6-71 + 0-50 76. 40. 52-64 76. 56. 44-44 6-45 22 Moon's U. L. ... 46. 36. 35-00 29-85 58-75 1. 0-20 59. 53-23 43. 18-42 + 0-24 84. 25. 37-42 84.42. 0-10 6-42 25 Moon's U. L. ... 60. 56. 42-00 29-50 48-75 1. 43-06 61. 23-98 53. 28-76 0-31 98.36. 16-39 98. 53. 3-93 6-36 26 Moon's U. L. ... 64. 59. 34-00 29-50 45-75 2. 3-32 61. 14-90 55. 19-37 0-49 102. 37. 37-86 102. 54. 22-92 6-34 May 3 Moon's U. L. ... 62. 9.28-00 29-90 38-75 1.52-13 55. 27-32 48. 51-82 0-36 99. 53. 48-35 100. 8.58-12 6-19 4 Moon's U. L. ... 58. 35. 22-00 29-84 45-75 1.35-49 54. 51-39 46. 38-43 0-27 96.21.39-19 96.36.39-12 6-18 17 Moon's U. L. ... 37. 31. 40-25 29-95 54-75 0. 44-25 57. 3-38 34. 32-75 -fO-54 75. 29. 12-69 75.44.48-81 5-93 18 Moon's U. L. ... 40. 43. 50-00 30-18 53-75 0. 50-07 57.49-10 37. 30-97 + 0-41 78. 38. 29-91 78. 54. 18-56 5-91 19 Moon's U. L. ... 44.39. 6-50 30-21 48-75 0. 58-08 58.37-15 40. 59-26 + 0-27 82. 30. 25-99 82.46.27-81 5-89 20 Moon's U. L. ... 49. 6.36-00 30-15 50-75 1. 7-45 59. 24-55 44. 42-26 + 0-13 86.54.21-72 87. 10. 36-53 5-88 22 Moon's U. L. ... 58. 35. 50-75 30-16 55-75 1. 34-58 60. 39-46 51. 34-63 0-27 96. 17. 10-83 96.33.46-18 5-83 23 Moon's U. L. ... 62. 57. 48-50 30-15 50-75 1.54-11 60. 56-92 54. 6-04 0-40 100. 36. 56-57 100. 53. 36-70 5-82 26 Moon's ILL. ... 70. 24. 13-50 30-03 48-25 2. 42-99 60. 0-03 56. 21-51 0-64 108. 1.54-74 108. 18. 19-28 5-77 27 Moon's U. L. ... 70. 19. 15-50 29-90 56-75 2. 38-76 59. 10-71 55. 33-43 0-64 107. 57. 40-59 108. 13. 51-62 5-76 28 Moon's U. L. ... 69. 0.53-00 30-11 45-75 2.32-67 58. 14-31 54. 12-64 0-58 106. 40. 32-85 106.56.28-40 5-74 29 Moon's U. L. ... 66. 43. 13-50 29-89 49-75 2.14-21 57. 16-63 52. 26-77 0-54 104. 24. 20-80 104.40. 0-55 5-72 June 1 Moon's U. L. ... 56. 22. 26-00 29-90 56-75 1. 25-94 54. 56-99 45. 34-42 0-20 94. 9.37-72 94.24.39-19 5-69 2 Moon's U. L. ... 52. 27. 15-50 30-00 62-75 1.13-77 54. 29-03 43. 0-75 0-02 90. 16. 48-90 90.31.42-70 5-68 3 Moon's U. L. ... 48. 33. 42-50 29-97 61-75 1. 4-32 54. 11-31 40.26-01 + 0-15 86. 25. 41-36 86. 40. 30-30 5-67 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20"' 40. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (23) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 3. 28'. 1755. June 16 Moon's U. L. ... O 1 It 47.21.32-25 in. 29-90 o 65-75 / // 1. 1-04 / // 58. 30-58 / // 42. 50-01 II + 0-20 O 1 I' 85.11. 3-88 t II 85.27. 3-90 5-67 19 Moon's U. L. ... 61. 1.45-33 29-95 70-75 1. 40-44 59. 58-38 52. 16-76 0-32 98. 42. 29-09 98.58.53-18 5-56 20 Moon's U. L. ... 64. 56. 57 '00 29-90 69-75 1.58-81 60. 12-16 54. 21-49 0-49 102. 35. 54-23 102. 52. 22-09 5-56 21 Moon's ILL. ... 68. 0.54-25 29-92 65-75 2. 18-48 60. 13-09 55. 39-92 0-54 105. 38. 52-67 105. 55. 20-79 5-56 24 Moon's U. L. ... 69. 55. 0-00 29-62 54-75 2. 34-54 58. 51-99 55. 7-32 0-63 107. 33. 46-99 107. 49. 52-88 5-56 25 Moon's U. L. ... 68. 5.44-25 29-87 54-75 2. 21-92 58. 4-42 53. 42-83 0-54 105. 45. 43-20 106. 1.36-04 5-56 July 4 Moon's U. L. ... 36. 54. 5-00 29-90 60-75 0. 42-66 64. 28-64 32. 30 57 + 0-54 74. 53. 38-03 75. S. 31-72 5-62 14 Moon's U. L. ... 50. 19. 36-00 29-91 68-75 1. 7-37 58. 45-57 45. 1-40 + 0-08 88. 7. 2-45 88.23. 6-58 5-71 15 Moon's TJ. L. ... 54. 56. 24-25 29-91 69-75 1. 19-49 59. 3-78 48. 8-91 0-14 92. 40. 55-01 92.57. 4-13 5-72 18 Moon's U. Li ... 66. 48. 43-50 29-86 63-75 2. 10-88 59. 28-44 54. 29-70 0-54 104. 27. 44-54 104.44. 0-42 5-76 20 Moon's U. L. ... 70. 23. 33-00 29-86 6275 2. 37-24 59. 8-00 55. 32-37 0-64 108. 1.57-63 108.18. 7-91 5-79 24 Moon's U. L. ... 63. 43. 12-25 29-74 52-75 1. 55-81 56.51-76 50.48-71 0-44 101.25.39-31 101.41. 12-24 5-86 25 Moon's U. L. ... 60. 5.47-75 29-77 54-75 I. 39-26 56. 9-96 48. 30-58 -0-27 97. 50. 16-56 98. 5.38-03 5-88 30 Moon's U. L. ... 41. 3.25-25 29-87 53-75 0. 50-13 54. 14-35 35. 25-64 + 0-39 79. 0.10-53 79. 15. 0-30 5-97 31 Moon's U. L. ... 38. 7. 9-00 29-91 51-75 0. 45-41 54. 20-90 33. 20-96 + 0-53 76. 5.54-38 76. 20. 45-95 5-99 Aug. 14 Moon's U. L. ... 65. 43. 48-00 29-76 67-75 2. 3-02 59. 14-22 53. 49-49 0-52 103. 23. 21-41 103. 39. 33 39 6-26 15 Moon's U. L. ... 68. 23. 58-00 29-72 64-75 2. 20-49 59. 0-19 54. 41-40 0-55 106. 2.56-94 106. 19. 5-07 6-28 16 Moon's U. L. ... 69. 59. 23-25 29-74 62-75 2. 33-25 58. 41-92 54. 59-43 0-63 107.38.16-84 107. 54. 19-97 6-30 17 Moon's U. L. ... 70. 23. 55-25 30-00 61-75 2. 38-36 58. 19-46 54. 47-52 0-64 108. 3. 5-85 108. 19. 2-82 6-32 18 Moon's L. L. ... 70. 9.43-25 29-97 60-75 2. 36-50 57. 52-95 54. 17-03 0-61 107. 49. 22-51 107. 33. 32-81 6-34 19 Moon's L. L. ... 68. 19. 35-25 29-60 58-75 2.21-11 57.23-11 53. 10-02 0-54 106. 0. 6-20 105. 44. 24-68 635 21 Moon's L. L. () . Moon's U. L. ( b ) . 62. 14. 6-00 61.43. 6-00 29-75 58-75 1.47-41 1.45-12 56. 16-50 56. 16-47 49. 37-45 49. 22-85 0-33 99. 57. 36-34 99. 26. 48-67 99. 42. 13-08 99.42.11-93 6-39 22 Moon's U. L. ... 57. 55. 27-50 29-83 53-75 1.31-52 55. 43-00 47. 1-81 0-27 95. 41. 17-34 95.56.31-42 6-41 24 Moon's U. L. ... 49. 55. 35-50 29-75 51-75 1. 8-36 54.45-56 41.42-77 -r-0-09 87.46.21-58 88. 1.19-91 6-44 Sep. 13 Moon's U. L. . . . 70. 20. 34-50 30-08 56-75 2. 39-91 58.22-11 54. 48-26 0-64 107.59.45-91 108. 15.43-61 6-67 14 Moon's L. L. ... 70.28. 1-75 30-05 58-75 2.40-16 57. 47-25 54. 18-30 0-63 108. 7.43-38 107.51.55-25 6-68 15 Moon's L. L. ... 68.59. 8-50 29-99 59-75 2. 27 53 57.13-14 53. 15-27 0-55 106. 39. 40-61 106.24. 1-82 6-69 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38". 31'. 20" -40. (") Observed at Transit of 1 L. Correction applied for defective illumination, + 0*'3l. ( b ) Observed at Transit of Center. Increase of N. P.D. during passage of Semidiameter = 9"' 37. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. (24) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equate real Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L.or2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.2B'. 1755. Sep. 16 Moon's L. L. . . . O ' It 66. 35. 25-25 in. 29-96 o 59-75 / n 2.11-00 / */ 56. 40-05 / // 51. 50-39 n 0-54 o / /' 104. 17. 5-72 o / '/ 104. 1. 36-00 It 6-70 17 Moon's L. L. ... 63.29. O'OO 29-92 57-75 1.54-15 56. 8-40 50. 3-95 0-40 101. 12. 10-20 100.56.49-16 6-70 18 Moon's L. L. ... 59. 52. 32-75 29-80 56-75 1. 38-09 55. 38-72 47. 57-34 0-27 97. 37. 33-63 97. 22. 20-72 6-70 27 Moon's U. L. ... 33. 26. 25-00 29-60 48-75 0. 38-07 55. 1-69 30. 7-19 + 0-64 71. 28. 16-92 71.43.19-67 6-70 29 Moon's L. L. ... 35.31.56-00 29-48 47-75 0.41-08 56. 29-65 32. 37-48 + 0-57 73. 31. 20-57 73. 15. 53-70 6-68 Oct. 1 Moon's L. L. ... 40. 58. 12-00 29-77 48-00 0. 50-40 58. 22-57 38. 3-88 + 0-43 78. 52. 19-35 78.36.21-53 6-67 10 Moon's U. L. ("). . 70. 16. 47-30 29-80 50-75 2. 39-84 59. 16-48 55. 37-99 '0-63 107.55. 8-92 108.11.21-52 6-61 15 Moon's L. L. ... 61. 6. 1-76 29-30 50-75 1. 42-59 55. 38-69 48. 32-60 0-29 98.50. 31-85 98. 35. 18-95 6-55 16 Moon's L. L. ... 57.18. 1-50 29-33 43-75 1. 29-67 55. 9-24 46.14-13 0-21 95. 4.37-23 94. 49. 32-41 6-54 17 Moon's L. L. ... 53.20. 9-00 29-55 44-75 1.17-81 54.44-88 43. 44-00 0-04 91. 9. 3-17 90.54. 5-03 C-52 22 Moon's U. L. ... 36. 6.31-25 29-55 37-75 0. 42-94 54. 0-68 31.38-27 + 0-54 74. 6.56-86 74.21.42-89 6-44 24 Moon's L. L. ... 33. 55. 55-00 29-83 39-75 0.39-81 54. 28-38 30. 12-41 + 0-64 71.57.43-44 71.42.49-82 6-40 25 Moon's L. L. ... 33. 52. 52-50 30-11 35-75 0. 40-45 54. 55-37 30. 24-97 + 0-65 71.54.29-03 71.39.28-01 6-38 28 Moon's L. L. ... 39. 16. 57-25 30-24 44-75 0. 48-55 57. 9-83 35.59-16 + 0-50 77. 13. 7-54 76. 57. 29-66 6-32 Nov. 9 Moon's L. L. ... 68. 30. 56-50 29-27 36-75 2. 27-44 57. 53-60 53. 42-55 0-54 106.11. 1-25 105.55.11-37 6-11 10 Moon's L. L. ... 65. 46. 27-25 29-44 29-25 2. 12-02 56. 58-20 51. 47-26 0-50 103.28. 11-91 103. 12. 37-21 6-09 11 Moon's L. L. ... 62. 24. 58-00 29-65 31-75 1.54-08 66. 9-08 49. 35-92 0-36 100. 8.36-20 99.63. 14-97 6-06 12 Moon's L. L. ... 58.40. 7-00 29-34 38-75 1. 35-56 55. 27-84 47. 12-03 0-27 96. 25. 50-66 96. 10. 40-74 6-04 13 Moon's L. L. ... 54.43. 2-50 28-97 45-75 1.20-07 54. 55-0-2 44. 38-89 o-io 92.31. 3-98 92.16. 3-06 6-03 15 Moon's L. L. ... 46. 50. 47-50 29-44 33-75 1. 3-03 54. 12-83 39.21-65 + 0-25 84. 43. 49-53 84.29. 0-17 5-99 22 Moon's L. L. ... 34. 9. 18-25 29-20 45-75 0. 38-82 55. 0-39 30. 40-80 + 0-63 72. 10. 37-30 71.55.34-91 5-86 23 Moon's L. L. ... 35. 37. 15-00 29-32 40-76 0.41-59 55.31-69 32. 8-22 + 0-57 73.37. 9-34 73.21.58-36 5-84 25 Moon's L. L. ... 41. 7. 40-00 29-33 33-75 0. 51-43 56. 55-22 37. 14-03 + 0-42 79. 2.38-22 78.47. 4-34 5-82 26 Moon's L. L. ... 44. 58. 22-00 29-65 27-75 1. 0-23 57. 46-22 40. 37-59 + 0-27 82.50. 5-31 82. 34. 17-45 5-80 Dec. 9 Moon's L. L. ... 60.20.55-50 29-81 47-75 1.41-86 56. 20-42 48. 47-25 0-27 98. 5.10-24 97. 49. 45-90 5-66 10 Moon's L. L. ... 66.21.51-50 29-77 42-75 1,28-03 55. 33-57 46. 4-64 0-18 94. 8.35-11 93. 53. 23-62 5-65 13 Moon's L. L. ... 44. 34. 3-00 29-83 33-75 0. 58-99 54.11-18 37. 50-01 + 0-27 82. 28. 32-65 82. 13. 43-74 5-63 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20'' -40. (') The observed Z. D. decreased 2 Verniers : in the printed observations it is supposed the Z. D. should be increased 1 Vernier. SECT. II. INVESTIGATION OF MOON'S NORTH POLAU DISTANCE. (25) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L.or L.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1755. Dec. 14 Moon's L. L. ... o < // 41. 8.49-75 29-40 o 38-75 / // 0.61-05 / a 54. 2-56 / // 35.21-92 it + 0-41 o / // 79. 5.39-69 o / // 78.50.53-14 II 5-62 1C Moon's L. L. ... 35. 52. 47-75 29-19 38-75 0.41-97 54. 8-36 31.31 92 + 0-56 73. 53. 18-76 73. 38. 30-63 5-62 17 Moon's L. L. ... 34. 17.41-75 29-15 44-75 0. 39-03 54. 20-35 30. 25-05 + 0-63 72. 19. 16-76 72. 4.25-34 5-62 20 Moon's L. L. ... 34. 53. 25-00 29-32 38-75 0.40 65 55.23-11 31. 28-63 -r-0-61 72. 53. 58-03 72. 38. 49-41 5-62 21 Moon's L. L. ... 36. 56. 50-00 29-57 32-75 0. 44-77 55.51-58 33. 22-32 + 0-54 74. 55. 33-39 74. 40. 16-96 5-62 23 Moon's L. L. ... 43.25.13-75 30-05 33-75 0.57-10 56. 59-24 38. 58-05 + 0-31 81. 18.33-51 81. 2.58-53 5-62 27 Moon's L. L. ... 61. 7.50-50 29-52 43-75 1.44-99 59. 40-33 52. 4-33 0-29 98.48.51-27 98.32.32-13 5-64 28 1756. Jan. 7 Moon's L. L. ... Moon's L. L. ... 65. 9.58-00 54. 13. 24-25 29-50 29-50 38-75 40-75 2. 6-10 1. 20-90 60. 12-37 55. 44-62 54. 27-74 45. 2-29 0-47 0-08 102. 48. 56-29 92. 1. 3-18 102. 32. 28-37 91. 45. 48-65 5-65 5-72 10 Moon's L. L. ... 42. 35. 19-75 29-85 43-75 0. 53-96 54. 16-52 36. 32-14 + 35 80.31. 2-32 80. 16.11-94 5-76 13 Moon's L. L. ... 34. 54. 30-50 29-60 38-75 0.41-00 54. 20-77 30. 54-06 + 0-60 72. 55. 38-50 72. 40. 46-96 5-81 15 Moon's L. L. ... 33. 35. 25-00 29-70 38-75 0. 39-21 55. 2-47 30. 14-93 + 0-66 71. 37. 10-34 71.22. 7-37 5-84 16 Moon's L. L. ... 34. 20. 46-25 29-92 33-75 0.41-07 55. 29-91 31. 6-47 + 0-63 72.21.41-88 72. 6.31-40 5-85 18 Moon's L. L. ... 38.41.25-75 29-84 37-75 0. 47-60 58. 30-30 35. 7-01 + 0-53 76. 38. 27-27 76.23. 0-21 5-90 19 Moon's L. L. ... 42. 5. 9-00 29-68 36-75 0. 53-49 57. 0-56 38. 0-34 + 0-37 79. 59. 22-92 79. 43. 47-58 5-92 20 Moon's L. L. ... 46. 4. 54-25 29-88 37-75 1. 1-77 57. 29-92 41. 12-97 + 0-27 83.56. 3-72 83. 40. 20-33 5-94 21 Moon's L. L. ... 50. 28. 19-25 29-94 39-75 1 11-90 57. 57-94 44. 30-72 + 0-09 88. 16. 20-92 88. 0.29-85 5-95 23 Moon's L. L. ... 59. 29. 53-25 29-95 32-75 1. 42-07 58. 49-37 50. 29-90 0-27 97. 12. 25-55 96. 56. 20-37 5-99 25 Moon's L. L. ... 67. 5.41-50 30-15 33-75 2. 22-51 59.29-15 54. 37-56 0-54 104.44.46-31 104. 28. 30-23 6-04 Feb. 5 Moon's L. L. ... 48. 1.30-50 30-04 40-75 1. 6-05 55. 9-27 40. 48-78 + 0-20 85.53. 8-37 85.38. 3-54 6-25 7 Moon's L. L. ... 40.49. 31-20 30-14 41-75 0.51-43 54.21-42 35. 20-43 + 0-43 78. 46. 23-03 78.31.31-31 6-30 8 Moon's L. L. ... 37. 57. 49-00 29-95 40-75 0. 46 26 54. 13-38 33. 9-51 + 0-54 75. 56. 46-69 75.41.57-18 6-33 10 Moon's L. L. ... 34. 16. 29-75 29-69 36-75 0. 40-39 54.30-10 30. 29-58 + 0-63 72. 18. 1-59 72. 3. 7-49 6-37 11 Moon's L. L. ... 33. 39. 35-50 30-03 36-75 0. 39-92 54. 53-07 30. 13-10 + 0-65 71.41.23-37 71.26.22-98 6-39 13 Moon's U. L. ... 34. 45. 33-00 30-41 39-75 0.41-86 55. 59-27 31. 42-80 + 0-58 72. 45. 53-04 73. 1. U-59 6-43 14 Moon's U. L. ... 37. 0.21-25 30-17 40-75 0. 45-01 56. 37-59 33. 52-50 + 0-54 74. 58. 34-70 75.14. 3-74 6-46 16 Moon's L. L. ... 44. 30. 3-25 29-72 37-75 0.58-15 57. 50-72 40. 20-40 + 0-27 82.22. 1-67 82. 6. 12-58 6-49 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridia . The Geocentric N. V. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. GREENWICH LUNAR REDUCTIONS. (E) (26) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. fU.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1756. Feb. 19 Moon's L. L. ... O t It 58. 3.30-00 in. 30-15 o 28-75 / // 1.37-95 t it 58. 59-93 / // 49. 52-69 II 0-25 o / a 95. 46. 35-41 o / " 95. 30. 27-34 n 6-56 21 22 Mar. 9 66. 1.59-00 30-33 30-18 30-31 35-75 31-75 43-75 2. 15-78 2.36-41 0. 39-97 59. 12-76 59.11-30 54. 31-98 53.56-18 55. 2-60 30. 9-85 0-51 0-55 + 0-65 103.41.38-49 106. 30. 49-91 71.52. 0-42 103. 25. 26-91 106. 14. 38-73 71.37. 5-81 6-60 6-61 6-82 68. 51. 56-25 Moon's L. L. ... 33.50. 9-25 12 Moon's U. L. ... 35. 51. 45-25 30-04 34-75 0. 43-53 56. 15-47 32. 45-05 4-0-54 73.51. 4-67 74. 6.27-65 6-85 13 Moon's U. L. ... 38. 34. 36-50 30-23 32-75 0. 48-53 57. 2-48 35.21-61 + 0-51 76. 31. 24-33 76.47. 0-20 6-86 16 Moon's L. L. ... 51. 29. 35-50 29-72 38-75 1. 14-16 59. 12-70 46. 8-08 + 0-04 89. 16. 2-02 88. 59. 50-45 6-87 20 Moon's L. L. . . . 68. 6.55-75 29-53 31-75 2. 27-36 59. 43-96 55. 15-63 0-54 105.45.27-34 105.29. 7-21 6-89 Apr. 9 Moon's U. L. ... 37. 6.38-50 29-75 43-75 0. 44-28 56. 15-66 33. 44-30 + 0-54 75. 4.59-42 75. 20. 22-45 6-79 10 Moon's U. L. ... 40. 14. 4-75 29-45 41-75 0. 49-21 57. 8-15 36. 41-81 + 0-43 78. 9.32-98 78. 25. 10-40 6-77 11 Moon's D. L. ... 44. 6.16-00 29-36 36-75 0. 56-78 58. 4-10 40. 12-34 + 0-27 81.58.21-11 82. 14. 13-87 6-76 12 Moon's U. L. ... 48. 33. 15-00 29-30 41-75 1. 5-49 58. 58-57 44. 0-06 +0-16 86.21.40-99 86. 37. 48-68 6-75 13 Moon's U. L. ... 53. 20. 36-25 29-35 38-75 1.18-28 59. 46-42 47. 45-00 0-06 91. 5.29-87 91.21.50-68 6-74 14 Moon's L. L. ( a ) . . Moon's U. L. (") . 58.43. 14-75 58. 10. 24-50 29-48 40-75 1.35-81 1. 33-79 60.22-16 60. 22-22 51.24-19 51. 5-88 0-27 0-27 96. 24. 47-69 95. 52. 12-54 96. 8. 17-09 96. 8.43-16 6-72 22 Moon's 11. L. ... 64. 15. 37-50 29-74 44-75 2. 0-56 57.10-68 51. 19-89 0-46 101.57.38-11 102. 13. 16-22 6-61 May 7 Moon's U. L. ... 38.36. 14-25 29-54 55-75 0. 45-27 56. 7-43 34. 48-70 + 0-51 76.33.31-73 76. 48. 52-51 6-36 8 Moon's U. L. . . . 42. 5.13-00 29-48 64-75 0.51-20 56. 59-43 37. 59-50 + 0-35 79. 59. 25-45 80. 15. 0-48 6-34 10 Moon's ILL. ... 50. 47. 45-50 29-75 48-75 1. 10-93 58. 56-40 45.28-16 + 0-05 88.34.48-72 88. 50. 55 82 6-31 11 Moon's U. L. ... 55. 36. 52-00 30-20 48-75 1.25-76 59.51-86 49. 12-30 0-16 93. 20. 25-70 93. 36. 48-00 6-29 12 Moon's U. L. ... 60.21. 13-50 30-18 48-75 1. 42-93 60. 37-32 52. 29-67 0-28 98. 1. 46-88 98.18.21-63 6-27 13 Moon's U. L. ... 64. 37. 59-00 30-10 48-75 2. 3-03 61. 6-97 55. 2-37 0-47 102. 16. 19-59 102.33. 2-47 6-25 15 Moon's U. L. ... 70. 15. 16-00 29-95 44-75 2. 42-43 61. 5-90 57.20-15 0-63 107.51.58-05 108. 8.40-64 6-23 16 Moon's U. L. ... 71. 1.55-00 29-97 42-75 2. 50-33 60. 36-09 67. 8-66 0-67 108. 38. 56-40 108. 55. 30-82 6-20 M Moon's U. L. ... 70.23. 8-75 29-86 42-75 2.43-78 59. 52-06 56. 13-66 0-64 108. 0.58-63 108. 17.20-98 6-19 20 Moon's U. L. ... 62. 2. 6-00 2963 54-75 1.46-95 57. 11-74 50. 20-34 0-36 99. 44. 52-65 100. 0.31-06 6-14 21 Moon's U. L. 58. 3. 8-25 29-80 54-75 1.31-69 56. 23-63 47.40-12 0-27 95.48. 19-95 96. 3.45-16 6-12 June 3 Moon's U. L. 37.19.31-00 29-63 63-75 0. 42-67 55. 22-75 33. 22-47 + 0-54 75.18. 12-14 75. 33. 20-66 5-99 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20'' -40. (*) Observed at Transit of 1 L. Correction applied for defective illumination, + 1"- 19. (") Observed at Transit of 2 L. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (27) Year, Montli, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. f U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 175G. June 5 Moon's U. L. ... o / 44.16.50-00 29-80 o 60-75 / M 0. 55-20 / a 56. 49-09 / // 39. 27-88 // + 0-27 o / ft 82. 9.37-99 O f II 82. 25. 10-19 // 5-97 6 Moon's U. L. ... 48. 35. 18-75 29-73 60-75 1. 4-00 57. 42-26 43. 4-49 + 0-15 86.24.38-81 86. 40. 25-58 5-97 8 Moon's U. L. ... 57. 55. 47-00 29-57 55-75 1. 30-37 59. 34-49 50. 17-38 0-27 95. 38. 20-12 95. 54. 37-66 6-95 10 Moon's U. L. ... 06. 20. 27-00 29-37 52-75 2. 8-74 61. 0-16 55.41-71 0-54 103. 58. 13-89 104. 14. 54-91 5-94 17 Moon's U. L. ... 59.48. 7-00 29-84 50-75 1.39-14 57. 24-02 49. 25-66 -0-27 97.31.40-61 97. 47. 22-38 5-92 18 Moon's U. L. ... 55 34. 15-00 29-75 51-75 1. 23-83 56. 29-85 46. 24- x 77 0-16 93. 20. 34-30 93.36. 1-22 5-91 19 Moon's U. L. . . . 51. 17.37-50 29-94 54-75 1.11-78 55. 42-93 43. 17-20 + 0-03 89. 6.52-51 89.22. 6-58 5-92 20 Moon's U. L. ... 47. 8.59-75 30-10 54-75 1. 2-36 55. 4-64 40. 11-07 + 0-21 85. 1.11-65 85. 16. 15-21 5-92 21 Moon's U. L. ... 43. 17. 25-25 30-19 59-75 0.54-13 54. 35-54 37. 14-20 + 0-29 81.12.25-87 81.27.21-45 5-93 22 Moon's U. L. ... 39. 50. 57-00 29-95 64-75 0.47-12 54. 15-13 34. 33-88 + 0-45 77.48.31-09 78. 3.21-08 5-93 July 4 Moon's U. L. ... 51.19.37-00 29-82 70-75 1. 9-32 57. 33-55 44. 44-38 + 0-02 89. 7.22-36 89.23. 6-75 6-01 5 Moon's U. L. ... 55. 54. 43-00 29' 93 65-75 1.23-04 58.21-05 48. 7-87 0-18 93. 39. 18-39 91. 55. 15-80 6-02 Moon's U. L. ... 60. 24. 6-00 30-00 67-75 1. 38-66 59. 8-97 51. 14-60 0-28 93. 5.50-18 98.22. 0-72 6'03 9 Moon's U. L. ... 70. 11.35-00 29-82 58-75 2.36-61 60. 51-61 57. 5-38 0-63 107. 48. 26-00 108. 5. 4-67 6-07 10 Moon's U. L. ... 71. 8.25-50 29-89 55-75 2. 46-36 60. 56-83 57. 30-45 0-68 108.45. 1-13 109. 1.41-23 6-07 11 Moon's U. L. ().. 70. 36. 43-00 29-95 56-75 2. 41-56 60. 42-80 57. 6-12 0-65 108.13.38-19 108.30.14-45 6-09 Aug. 1 Moon's U. L. ... 54.21.26-00 29-70 62-75 1. 18-26 57. 41-91 46. 41-73 0-10 92. 7.22-83 92.23. 9-50 6-47 3 Moon's U. L. ... 62. 59. 59-50 29-74 58-75 1. 50-91 58.51-73 52. 15-91 0-40 100. 40. 54-50 100.57. 0-32 6-52 5 Moon's U. L. ... 69.16.55-25 29-75 58-75 2. 28-90 59. 50-41 55. 48-06 0-59 106. 54. 55-90 107.11.17-80 6-57 6 Moon's U. L. ... 70. 48. 49-00 30-03 54-75 2. 44-47 60. 8-16 56. 37-77 0-66 108. 26. 15-44 108. 42. 42-20 6-59 8 Moon's L. L. 70. 19. 47-25 30-18 65-75 2. 37-43 60. 4-57 56. 24-41 0-62 107. 57. 20-05 107. 40. 54-26 6-64 9 Moon's L. L. ... 67. 51. 24-50 29-94 55-75 2. 20-30 59.41-21 55. 6-94 0-54 105. 29. 57-72 105. 13.38-34 6-66 10 Moon's U. L. ... 63. 51. 27-25 29-78 54-75 1.56-20 59. 4-98 52.51-53 0-44 101.31.51-88 101.48. 1-33 6-69 12 Moon's U. L. ... 55. 20. 21-25 29-69 54-75 1. 22-44 57. 29-47 47. 5-82 0-15 93. 5.58-12 93. 21.41-38 6-73 13 Moon's U. L. ... 50. 52. 58-00 29-89 55-75 1.10-47 56.39-15 43. 45-53 + 0-05 88.41.43-39 88. 57. 12-87 6-75 14 Moon's U. L. ... 46. 36. 48-75 29-80 57-75 1. 0-23 55. 52-59 40. 24-56 + 0-24 84. 28. 45-06 84.44. 1-77 6-78 15 Moon's U. L. ... 42.42. 8-75 29-60 54-75 0. 52-52 55. 13-00 37. 14-86 + 0-32 80.37. 7-13 80. 52. 12-98 6-80 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (*) Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = 3"- 77. (E)2 (28) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tubular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of iclijitiC. \. 28'. 1756. Aug. 28 Moon's U.L. ... o / '/ 52. 54. 28-50 in. 30-03 62-25 / u 1.15-14 / // 57. 46-05 / u 45.52-98 II 0-05 O ' // 90.41. 11-01 O / '/ 90. 56. 58-82 // 7-04 1 Moon's U. L. ... 65. 32. 45-00 30-14 65-75 2. 4-03 58. 55-07 53. 27-40 0-52 03.12.41-51 103. 28. 48-24 7-10 Sep. 1 Moon's U. L. ... 68. 30. 32-50 30-07 61-75 2.23-80 59. 10-46 54. 53-44 -0-56 106. 9.22-70 106.25.33-66 7-11 2 Moon's U. L. ... 70. 24. 35-75 30-00 60-75 2. 38-77 59.21-18 55. 45-33 0-64 108. 2.48-95 108. 19. 2-84 7-13 3 Moon's L. L. ... 71.36.37-75 29-84 62-75 2.48-14 59. 26-26 56. 14-62 0-67 109. 14. 31-00 108.58.15-71 7-14 6 Moon's L. L. 66. 2.26-75 30-00 51-75 2. 9-94 58. 52-47 53. 37-85 0-52 03. 42. 18-72 103. 26. 12-70 7-19 7 Moon's L. L. ... 62. 14. 58-00 30-05 49-75 1.50-57 58.23-38 51.29-77 0-35 99. 56. 38-85 99. 40. 40-80 7-21 9 Moon's U. L. ... 52. 56. 32-00 29-85 52-75 1. 16-23 57. 6-24 45. 22-61 0-05 90.43.45-97 90. 59. 2-2-87 7-23 11 Moon's U. L. ... 44.21.54-00 30-14 54-75 0. 56-67 55. 44 23 38. 46-38 + 0-27 82. 15. 24-96 82. 30. 39-38 7-25 12 Moon's U. L. ... 40. 39. 47-50 30-03 52-75 0.49-81 55. 8-88 35. 44-05 -fO-41 78. 36. 14-07 78.51.18-69 7-26 13 Moon's U. L. ... 37. 32. 59-50 29-64 53-75 0.43-91 54.41-21 33. 7-65 + 0-54 75.31.56-70 75. 46. 53-84 7-27 14 Moon's U. L. ... 35. 8. 14-00 29-60 51-75 0. 40-32 54. 22 55 31. 5-63 + 0-56 73. 9. 9-65 73.24. 1-67 7-28 15 Moon's U. L. ... 33.31. 2-25 29-74 52-25 0. 38-08 54. 14-58 29. 45-05 +0-64 71. 33. 16-32 71.48. 6-16 7"29 28 Moon's U. L. ... 67. 47. 58-00 30-05 64-75 2. 17-88 59. 24-58 54.50-01 0-54 105.26.45-73 105.43. 0-55 733 Oct. 1 Moon's L. L. ... 71.23. 7-75 29-88 55-75 2. 48-61 59. 2-71 55. 47-90 0-66 109. 1. 28-20 108. 45. 19-37 7-32 2 Moon's L. L. ... 69. 52. 17-25 29-84 55-75 2. 35-00 58. 45-96 55. 0-94 0-60 107.31. 11-11 107. 15. 6-87 7-32 3 Moon's L. L. ... 67. 15. 51-00 29-74 51-25 2. 16-64 58. 25-42 53. 43-04 0-54 104. 55. 44-46 104. 39. 45-85 7-31 4 Moon's L. L. ... 63. 47. 49-00 29-49 58-75 1.53-83 58. 0-99 51. 52-85 0-41 101.29. 9-97 101. 13. 18-07 7-31 5 Moon's L. L. ... 59. 43. 54-50 29-68 47-75 1. 38-94 57. 32-90 49.31-3(5 0-27 97. 27. 22-21 97. 11.38-00 7-31 7 Moon's L. L. <") . . 50. 52. 30-50 29-74 45-75 1.11-55 56.28-81 43. 37-41 + 0-07 88.41.25-11 88. 25. 58-47 7-29 9 Moon's U. L. 42. 6. 1-50 29-75 52-75 0.51-90 55. 23-33 36.56-13 + 0-35 80. 1. 18-02 80. 16.26-71 7-28 11 Moon's U. L. 35. 54. 49-00 29-12 45-75 0.41-32 54.32-01 31.47-14 + 0-54 73.55. 4-12 74. 9.58-74 7-26 11 Moon's U.L. ... 33. 55. 41-00 29-26 40-75 0. 38-97 54. 16-56 30. 5-57 + 0-63 71.57.35-43 72. 12. 25-82 7-25 29 Moon's L. L. ... 70. 39. 50-50 29-31 45-75 2. 42-20 59. 7-44 55. 37-74 0-63 108. 18. 14-73 108. 2. 4-6( 7-04 30 Moon's L. L. 68. 20. 26-00 29-86 48-75 2. 25-40 58. 33-30 54.15-40 0-54 105. 59. 55-86 105. 43. 55- 1( 7-01 Nov. 1 Moon's L. L. ... 61. 12. 35-50 30-00 43-25 1.47-16 57. 23-67 50. 7-40 0-29 98. 55. 35-37 98. 39. 53-70 6-98 3 Moon's L. L. ... 52. 30. 28-55 29-62 41-75 1.16-17 56. 18-61 44. 29-35 o-oo 90. 18. 35-47 90. 3.11-63 6-95 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. H. D. of Limb and of Center in the Tables above are tbose corresponding to the time of passage of the imb which was observed with the Transit. The N. P. I), is formed by adding to the corrected Quadrant Reading the Adopted Co-L.-uitude38.3r.20"- 40. (") Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = 1 !* 25. SECT. II. INVESTIGATION OF MOON'S NOKTH POLAR DISTANCE. (29) Tlipr Correc- Geocentric Geocentric Tabular Year, Month, and Name of Object. Quadrant Reading. Baro- meter. i ner- ino- Refrac- tion. Tabular Horizontal Equatoreal Parallax. tion for Curva- ture of N. P. D. of U. L. or L. L., at Transit N.P.D. of Center at Transit Obliquity of Ecliptic. Day. meter. Parallax. Path. of 1 L. or 2 L. of 1 L. or 2 L. 23. 28'. 1756. Oil' ia. o / // / // / // It O / /' o r it // Nov. 4 Moon's L. L. ... 48. 8. 27-00 29-99 3G-75 1. 6-76 55. 48-77 41.22-52 + 0-19 85.59.31-83 85.44.16-17 6-93 5 Moon's L. L. ... 44. 2. 6-50 29-58 43-75 0.56-24 55.21-07 38. 16-68 + 0-28 81.56. 6-74 81.40.58-67 691 6 Moon's L. L. ( a ) . . 40.21.52-50 30-02 39-25 0. 50-66 54. 55-99 35. 22-75 + 0-45 78. 18.41-26 78. 3.40-07 6-90 Moon's U. L. ( b ). . 39. 51. 14-00 0. 49-75 54. 55-95 35. 0-13 + 045 77.48.21-03 78. 3.22-21 7 Moon's L. L. ( c ) . . 37.17.15-50 30-23 32-75 0. 46-33 54. 34-38 32.51-75 + 0-54 75. 16. 31-02 75. 1.35-75 6-88 8 Moon's L. L. ( d ) . . 34. 56. 34-50 30-17 32-75 0. 42 44 54. 17-56 30. 53-85 + 0-59 72. 57. 44-08 72. 42. 53-42 6-87 Moon's U. L. ( e ).. 34. 26. 26 50 0. 41-65 54. 17-56 30. 30-27 72. 27. 57-90 72. 42. 48-56 11 Moon's L. L. ... 33. 7. 15-50 29-86 29-75 0. 39-47 54. 7-74 29. 22-64 + 0-68 71. 9.53-41 70. 55. 5-44 6-82 15 Moon's L. L. ... 42. 51. 22-00 29-50 48-75 0. 53-27 56. 7-95 37. 58-69 + 0-34 80. 45. 37-32 80. 30. 16-40 6-74 7 Moon's L. L. ... 66. 30. 47-00 30-02 33-25 2. 18-17 58.48-75 53. 46-26 0-54 104. 10. 38-77 103. 54. 33'76 6-58 J 28 Moon's L. L. ... 62. 43. 28-50 30-31 30-75 1. 58-40 57.58-88 51. 21-59 0-36 100. 25. 25-35 100. 9. 34-03 6-58 Dec. 3 Moon's L. L. ... 41. 35. 55-00 30-09 37-25 0. 53-25 54. 52-61 36. 14-17 + 0-39 79.31.54-87 79. 16.54-61 6-52 8 Moon's L. L, ... 32. 43. 28-50 30-30 34-75 0. 39-03 53. 58-38 28. 58-71 + 0-70 70. 46. 29-92 70.31.44-52 6-48 14 Moon's L. L. ( f ) . . 49. 17. 49-40 29-63 34-75 1. 8-98 56. 44-23 42. 49-04 + 0-14 87. 7.29-88 86. 51. 59-01 6-47 16 Moon's L. L. ... 58. 34. 37-50 29-68 32-75 1. 37-55 58. 40-84 49. 53-34 0-27 96. 17.41-84 96. 1.39-00 6-46 30 Moon's L. L. ... 42. 66. 0-25 30-25 29-25 0. 57-05 55. 7-39 37.21-03 + 0-34 80.50.57-01 80. 35. 52-69 6-54 1757. Jan. 2 Moon's L. L. ... 34.21.25-25 29-55 31-25 0. 40-79 54. 4-60 30.19-16 + 0-63 72. 23. 7-91 72. 8.20-80 6-57 3 Moon's U. L. ... 32. 32. 14-00 29-67 29-75 0. 38'35 53. 57-83 28. 49-45 + 0-68 70. 35. 23-98 70. 50. 9-23 6-58 5 Moon's L. L. (s).. 33. 8. 21-25 30-15 24-25 0. 40-35 54. 1-82 29. 20-31 4-0-68 71.11. 2-37 70.56.1603 662 7 Moon's L. L. ... 36.51. 10-50 30-00 19-25 0. 46-59 54.27-86 32. 28-02 + 0-54 74.50.50-01 74. 35. 56-53 6-65 25 Moon's L. L. ... 48.45.52-00 28-72 34-75 1. 5-62 56. 45-28 42. 29-03 + 0-17 86. 35.49-16 88.20.18-01 7-00 27 Moon's L L. ... 40. 43. 21-50 29-00 32-75 0. 50-24 55. 11-60 35. 48-54 + 0-44 7S. 39. 44-04 78.24.38-57 7-05 29 Moon's L. L. ... 35. 6. 15-50 29-88 29-25 0. 42-60 54. 16-75 31. 0-91 + 0-59 73. 7.18-18 72. 52. 27-74 7-10 30 Moon's L. L. 33. 27. 58-50 29-71 30-75 0.39-71 54. 3-98 29. 36-94 + 0-66 71.30.22-33 71. 15.35-40 7-12 Feb. 1 Moon's U . L. ... 32. 23. 26-50 30-08 24-75 0. 39-08 54. 3-79 28. 45-65 + 0-69 70. 26. 41-02 70. 41. 27-90 7-17 3 Moon's L. L. ... 35. 59. 22-25 29-87 19-75 0. 44-90 54.29-61 31.49-39 + 0-55 73.69.38-71 73. 44. 44-75 7-22 6 Moon's L. L. ... 46. 14. 13-00 29-36 40-75 1. 0-64 55.41-31 40. 1-38 + 0-27 84. 6.32-9:3 83. 51. 19-31 7-29 7 Moon's L. L. ... 50.34. 4-00 29-16 43-75 1. 9-68 56. 11-93 43. 12 89 + 0-09 88.23.21-28 88. 7.59-26 731 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (") Observed at Transit of 1 L. ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 3"'44. ( c ) Observed at Transit of 1 L., combined with 2 L. only. Increase of N. P. D. during passage of Semidiameter = 7' 1 1. ( d ) Observed at Transit of 1 L. ( e ) Observed at Transit of Center. Correction applied for defective illumination, 0"' 38. Increase of N. P. D. during passage of Semi- diameter = 5"'OS. This is not applied to form the numbers in the columns " Geocentric N. P. D of Limb," " Geocentric N. P. 1). of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( f ) Observed Z. D. increased 4 Verniers. ( g ) Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = -(- 2"' 61 . (30) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2L. Tabular bliquity of Ecliptic. 23.28'. 1757. Feb. 23 Moon's L. L. ... / II 42. 16. 53-00 29-86 o 46-75 / // 0. 53-07 / a 56. 5-10 / // 37.31-88 + 0-36 o / " 80. 11. 34-95 O 1 il 79. 56. 14-81 // 7-66 25 Moon's L. L. ... 35.58. 3-00 29-66 49-75 0. 41-82 54. 46-92 31.58-44 + 0-55 73.58. 7-33 73.43. 8-63 7-69 27 Moon's L. L. ... 32. 52. 58-50 30-30 37-25 0. 38-57 54. 9-79 29. 12-43 + 0-69 70. 55. 45-73 70. 40. 57-20 7-73 Mar. 1 Moon's U. L. ... 32. 57. 58-50 30-23 45-25 0. 38-46 54. 14-32 29. 18-76 + 0-66 71. 0.39-26 71. 15. 29-03 7-77 a Moon's U. L. ... 34. 38. 2-00 30-20 44-75 0. 40-95 54. 29-87 30. 46-45 H-0-59 72. 39. 17-49 72.54.11-53 7-79 4 Moon's U. L. ... 40. 24. 33-00 29-86 31-25 0. 51-32 55. 18-80 35. 39-31 + 0-43 78.21. 5-84 78.36. 13-28 7-82 5 Moon's U. L.( a ).. 44. 16. 30-50 30-15 29-25 0. 59-58 55. 48-74 38. 45-79 + 0-27 82. 10. 4-96 82. 25. 20-61 7-84 7 Moon's TJ. L. .... 53. 7.43-50 29-92 30-75 1.20-53 56.51-85 45. 17-90 0-04 90. 55. 6-49 91. 10.39-44 7-87 10 Moon's L. L. ... 66.21.31-50 29-70 27-75 2. 17-30 58. 18-29 53. 14-63 0-53 104. 1.54-04 103. 45. 57-38 7-91 11 25 69. 24. 59-00 29-85 29-97 31-75 45-75 2.39-16 0. 40-48 58. 43-24 54. 50-58 54. 48-64 30.55-41 0-57 + 0-62 107. 4. 9-35 72. 35. 47-59 106. 48. 5-85 72. 20. 47-88 7-91 7-98 Moon's L. L. ... 34.34.41-50 26 Moon's L. L. ... 33. 5. 3-50 30-07 45-75 0. 38-39 54. 27 48 29.31-59 + 0-68 71. 7.31-38 70. 52. 38-01 7-98 27 Moon's U. L. 32. 1.41-50 29-68 51-25 0. 35-97 54.14-78 28. 34-02 + 0-71 70. 5. 4-56 70. 19. 54-45 7-98 28 Moon's U. L. ... 32. 24. 49-00 29-51 47-75 0. 36-56 54. 13-35 28.51-80 + 0-69 70. 27. 54-85 70. 42. 44-36 7-98 29 Moon's U. L. ... 33. 43. 32-50 29-54 4275 0. 38-88 54. 22-72 29. 59-41 + 0-63 71.45.33-00 72. 0.25-07 7-98 Apr. 3 Moon's U. L. ... 51.18.45-25 29-83 46-75 1. 12-74 57. 2-38 44. 19-65 4-0-03 89. 6.58-77 89. 22. 34-61 7-95 4 Moon's U. L. ( b ). . 56. 0.34-00 30-24 36-25 1.29-44 57. 40-06 47. 37 42 0-18 93. 45. 46-24 94. 1.32-41 7-95 5 Moon's U. L. . . . 60. 35. 25-50 30-28 39-25 1. 46-34 58. 13-33 50. 32-14 0-29 98. 17.59-81 98.33.55-10 7-94 6 Moon's U. L. ... 64. 44. 54-00 30-20 43-75 2. 5-37 58. 40-49 52. 53-50 0-48 102. 25. 25-79 102. 41. 28-53 7-94 12 Moon's U. L. ... 67.26. 6-50 29-09 41-25 2. 17-59 59. 0-64 54. 19-30 0-54 105. 5.24-65 105.21.32-91 7-89 26 Moon's U. L. ... 34. 40. 38-25 29-82 54-75 0. 39-69 54. 24-56 30. 45-29 + 0-59 72.41.53-64 72. 56. 46-22 7-72 27 Moon's U. L. ... 37.19.27-00 29-90 54-75 0. 43-85 54. 46-50 33. 0-58 + 0-54 75. 18.31-21 75. 33. 29-79 7-71 28 Moon's U. L. ... 40.41.36-00 29-96 5475 0. 49-54 55. 18-57 35.51-66 + 0-41 78. 37. 54-69 78. 53. 2-07 7-69 29 Moon's U. L. ... 44. 40. 7-25 29-86 57-75 0. 56-40 55. 58-84 39. 9-25 + 0-27 82. 33. 15-07 82. 48. 33-50 7-6S 30 Moon's U . L. 49. 6. 11-50 29-64 55-75 1. 5-62 56. 45-04 42.41-94 + 0-13 86.55.55-71 87.11.26-79 7-66 May 1 Moon's U. L. ... 53. 48. 53-00 29-71 50-75 1. 18-63 57. 33-51 46. 15-73 0-09 91.35.16-21 91.51. 0-59 7-65 3 Moon's U. L. (") . . 63. 4. 36-25 30-18 47-25 1.55-61 59. 1-84 52. 27-09 100.45.25-17 101. 1.33-76 7-62 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. () Observed at Transit of 1 L. Increase of N.P.D. during passage of Semidiameter = + 10"-34. (") Observed at Transit of 1 L. Increase of N.P.D. during passage of Semidiameter = + 12"'32. ( c ) Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = + 11" "88. This is not applied to form the numbers in the columns " Geocentric N.P. D. of Limb," " Geocentric N. P.D. of Center;" which, the the N. P. D. of Limb and Center at Transit of Center. , therefore, in this instance, represent SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (31) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U.L.or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1757. May 6 Moon's U. L. ... O ' II 71.43. 34-00 in. 29-89 o 38-75 / // 2. 58-16 / // 59. 59-31 / // 56. 48-02 II 0-70 Oil! 109.21. 3-84 O 1 " 109. 37. 28-18 /* 7-57 8 Moon's U. L. ... 70.57.31-25 29-80 38-25 2. 50-27 59. 37-25 56. 11-68 0-67 108. 35. 29-57 108. 51. 47-87 7-54 10 Moon's TJ. L. ... 65. 11. 3-00 29-67 48-75 2. 4-32 58.46-16 53. 10-00 0-50 102. 51. 17-22 103. 7.21-52 7-51 29 Moon's U. L. ... 56. 9.27-00 29-73 54-75 1.25-11 57. 45-35 47. 46-76 0-18 93. 54. 25-57 94. 10. 13-18 7-29 June 1 Moon's U. L. ... 68. 43. 31-25 29-77 46-75 2. 28-42 60. 12-73 55. 56-24 0-56 106.21.23-27 106.37.51-29 7-26 2 Moon's U. L. ... 71. 11.41-00 29-97 48-25 2. 49-93 60. 38-62 57. 14-41 0-68 108. 48. 36-24 109. 5. 11-35 7-26 3 Moon's U. L. ... 72. 14. 46-00 29-91 47-75 3. 0-32 60. 47-01 57. 43-58 0-72 109. 51. 22-42 110. 7.59-84 7-25 23 Moon's U. L. ... 44. 58. 34-50 29-98 73-25 0. 55-50 55. 11-25 38. 48-57 + 0-27 82.52. 2-10 83. 7. 7-47 7-25 24 Moon's U. L. ... 49. 18. 56-25 30-09 62-25 1. 6-25 55. 52-79 42. 10-78 + 0-12 87. 9. 12-24 87. 24. 29-01 7-26 25 Moon's U. L. ... 53. 53. 48-00 30-07 66-25 1. 17-37 56. 42-87 45. 37-88 0-09 91.40.47-80 91. 56. 18-29 7-26 26 Moon's U. L. ... 58. 31.46-00 29-97 61-75 1.32-61 57.39-51 48. 59-46 -0-27 96. 15. 39-28 96.31.25-29 7-27 27 Moon's U. L. ... 62. 58. 49-25 29-80 60-75 1. 50-60 58. 39-16 52. 4-20 0-40 100. 39. 55-65 100. 55. 58-02 7-28 July 2 Moon's U. L. ... 70. 59. 37-00 29-87 51-25 2. 46-42 61. 12-31 57.41-99 0-67 108.36. 1-16 108. 52. 45-51 7-33 5 Moon's U. L. ... 59. 59. 39-50 30-04 57-75 1.39-15 59. 17 26 51. 9-18 0-27 97. 41. 29-60 97. 57. 42-42 7-37 7 Moon's U. L. ... 50. 18. 54-00 30-15 57-25 1. 946 57. 28-50 44. 1-91 + 0-08 88. 7.22-03 88.23. 5-02 7-40 9 Moon's TJ. L. ... 41.29. 5-50 30-08 66-25 0. 49-98 55. 54-50 36. 49-90 + 0-38 79- 24. 26-36 79. 39, 43-59 7-43 24 Moon's U. L. ... 61. 4.29-75 29-88 71-75 1.40-19 57. 26-06 50. 5-30 0-32 98. 47. 24-72 99. 3. 7-05 7-71 26 Moon's U. L. ... 68. 37. 1-00 29-81 69-25 2. 21-20 59. 19-63 55. 4-39 0-56 106, 15. 37-65 106.31.51-11 7-75 28 Moon's U. L. ... 72. 14. 24-50 29-69 69-75 2. 54-56 60. 53-20 57. 49-21 0-72 109. 50. 49-53 110. 7.28-64 7-80 30 I Moon's ILL. ( a ) . . 09. 53.21-50 29-64 59-25 2. 33-00 61.21-78 57. 26-97 107. 29. 47-93 107. 46. 34-87 7-85 31 Aug. 1 2 Moon's U. L. ... Moon's U. L. ... 66. 34. 4-00 62. 15. 30-00 29-59 29-54 29-57 59-75 57-75 55-75 2. 9-24 1. 46-97 1. 28-52 61. 4-44 60. 28-25 59. 38-29 55. 51-44 53. 19-93 50. 2-52 -0-54 0-36 0-24 104. 11.41-66 99. 55. 17-08 95. 6.12-16 104. 28. 23-85 100. 11.49-35 95. 22. 30-74 7-87 7-90 i 7-92 Moon's U. L. ... 57. 23. 26-00 6 Moon's U. L. ... 39. 3.38-25 29-95 6325 0. 45-95 55. 55-02 35. 1-84 + 0-48 77. 0.43-24 77. 16. 0-62 8-02 7 Moons U. L. ... 35. 51. 48-00 30-08 64-75 0. 40-99 55. 13-77 32. 9-13 + 0-54 73. 51. 40-80 74. 6.46-86 8-05 25 Moon's L. L. ... 72. 47. 36-25 29-77 54-75 3. 2-75 60.21-61 57. 30-05 0-72 110.24.28-63 110. 7.58-18 8-45 28 Moon's L. L. (") . . Moon's U. L. (-) 65. 10. 7-00 64. 36. 27-00 29-45 51-25 2. 2-68 1.59-62 60.51-42 60. 51-42 55. 3-11 54. 47-64 0-47 0-47 102.48.26-50 102. 14. 56-46 102.31.47-88 102. 31.35-08 8-52 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Rending the Adopted Co-Latitmle .'58. 31'. 20'' -40. (*) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 7" '89. This is not applied to form the numbers in the columns "Geocentric N. P. D. of Limb," "Geocentric N. P. D. of Center;" which, therefore, in this instance, represent the N. P.D. of Limb and Center at Transit of Center. (") Observed at Transit of 1 L. ( c ) Observed at Transit of 2 L. Correction applied for defective illumination, 2" '45. (32) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28 / . 1757. Aug. 29 Moon's U. L. ... o / " 59. 55. 47-00 in. 29-42 o 50-50 / // 1.38-30 / /< 60. 24-55 52. 5-18 // -0-27 / // 97. 36. 40-25 O 1 II 97.53.11-51 ii 8-54 30 Moon's U. L. ... 54. 49. 47-75 29-59 46-75 1.21-95 59. 41-89 48. 36-03 0-13 92. 33. 53-94 92. 50. 13-51 8-55 31 Moon's U. L. ... 49.41.44-50 30-01 47-75 1. 8-96 58.49-10 44.39-11 +0-10 87. 29. 34-85 87. 45. 39-95 8-58 Sep. 1 Moon's U. L. ... 44.51. 2-50 3009 50-75 0. 58-01 57. 51-50 40. 35-91 + 0-27 82. 42. 45-27 82.58.34-57 8-59 3 Moon's U. L. ... 36. 56. 43-50 30-2 1 53-75 0. 43-79 56. 2-44 33. 28-62 + 0-54 74.55. 19-61 75. 10. 39-02 8-63 18 Moon's U. L. ... 66. 30. 14-00 29-88 62-75 2. 9-33 57. 30-99 52. 34-68 0-54 104. 11. 8-51 L04. 26. 52-20 8-82 19 Moon's TJ. L. ... 69. 33. 42-00 30-09 64-25 2.31-13 58. 5-98 54. 16-09 -0-61 107. 13. 16-23 107.29. 9-51 8-82 20 Moon's U. L. ... 71.36.36-00 30-14 59-25 2.51-03 58.41-00 55.31-57 -0-70 109. 15. 15-16 109.31. 18-04 8-83 23 Moon's L. L. ... 70.24. 1-50 30-12 50-75 2. 42-61 60. 4-27 56. 25-65 0-62 108. 1.38-24 107.45. 12-54 8-84 26 Moon's L. L. ... 57. 57. 57-00 29-96 48-75 1.33-01 59.51-41 50. 33-08 0-24 95. 40. 17-09 95.23.54-91 8-86 30 Moon's U. L. ... 38. 20. 29-00 30-04 44-00 0.46-71 56.54-70 35. 5-78 + 0-52 76. 17. 30'85 76.33. 4-59 8-86 Oct. 2 Moon's U. L. ... 32. 49. 12-25 29-94 37-75 0. 38-47 55. 23-07 29. 48-80 + 0-67 70.51.22-99 71. 6.31-60 8-86 3 4 18 Moon's L. L. ... Moon's L. L. ... 32. 3. 19-00 31.48. 8-25 30-14 29-91 30-26 33-75 40-75 46-25 0. 37-92 0. 36-72 3. 12-32 54. 49-05 54. 25-07 58. 50-66 28. 53-49 28. 28-60 56. 8-60 + 0-72 + 0-74 0-74 70. 6. 24-55 69.51.37-51 110.42.53-88 69.51.25-26 69. 36. 44-80 110.26.48-35 8-85 8-85 8-77 Moon's L. L. ... 73. 4. 30-50 19 Moon's L. L. ... 72.56. 1-25 30-33 46-50 3. 10-99 69. 6-31 56. 20-94 0-73 110.34. 10-97 110.18. 1-16 8-75 20 Moon's L. L. ... 71.24.33-00 30-24 47-50 2. 53-81 59. 17-69 56. 2-56 -0-66 109. 2. 43-99 108.46.31-06 8-74 23 Moon's L. L. ... 60.10.37-75 29-94 41-25 1. 42-98 59. 15-57 51. 13-63 0-27 97. 52. 27-23 97. 36. 14-87 8-70 24 Moon's L. L. 55. 8.19-25 29-78 39-75 1. 24-65 58. 58-60 48.11-95 0-11 92. 52. 52-24 92. 36. 44-54 8-69 25 Moon's L. L. ... 49. 59. 29-00 30-10 42-75 1. 10-62 58. 32-65 44. 38-49 + 0-11 87.47.21-64 87.31.21-05 8-68 28 Moon's U. L. ... 36. 20. 34-00 30-33 35-75 0. 44-63 56. 37-34 33.20-81 +0-54 74. 19. 18-76 74. 34. 47-73 8-64 30 Moon's U. L. ... 31.44.48-50 30-13 49-25 0. 36-27 55.18-40 28.5371 + 0-72 69.47.52-18 70. 2.59-52 8-61 31 Moon's L. L. ... 31.32. 7-00 3033 49-00 0. 36-23 54. 47-53 28.27-31 + 0-75 69. 35. 37-07 69. 20. 38-20 8-60 Nov. l Moon's L. L. ... 31.51.28-00 30-27 45-75 0. 36-86 54. 25-37 28.31-45 + 0-74 69. 54. 54-55 69.40. 1-76 8-58 3 Moon's L. L. ... 35. 21. 27-00 30-00 48-25 0. 41-49 54. 13-03 31. 10-51 + 0-58 73.22. 18-96 73. 7.29-54 8-54 5 Moon's L. L. ... 41.56.21-50 29-00 47-25 0. 50-87 54.44-84 36. 23-59 -r-0-38 79.52. 9-56 79.37.11-43 8-51 16 Moon's L. L. ... 72.16.11-50 29-65 45-25 2. 59-93 59. 28-15 56. 29-27 0-70 109.54. 1-86 109. 37. 46-06 8-37 The Moon's U. L. or L. L. vn>> usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 3fe. 31'. 20" '40. - SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (33) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquit] of Ecliptic. 23. 28'. 1757. Oil' in. o / n / n , II O 1 // o t n " Nov. 17 Moon's L. L. ... 69.49. 18-50 29-68 40-75 2. 38-61 59. 20-43 55.32-16 0-59 107.27.44-76 107. 11.31-07 8-36 19 Moon's L. L. ... 61. 54.50-75 29-27 53-25 1 . 45-44 58. 50-18 51.43-66 0-33 99. 36. 12-60 99.20. 7-21 8-33 20 Moon's L. L. ... 57. 3. 18-00 29-36 42-75 1.29-12 58. 29-73 48. 54-02 0-20 94. 47. 13-30 94.31.13-51 8-31 21 Moon's L. L. ... 51.59. 43-00 29-40 4625 1. 13-54 58. 5-98 45. 35-04 + 0-02 89.46.41-92 89. 30. 48-64 8-30 22 Moon's L, L. ... 47. 0.41-75 29-25 50-75 1. 0-80 57.38-83 41. 58-00 + 0-25 84. 51. 5-20 84.35 19-37 8-29 23 Moon's L. L. ... 42. 22. 25-00 29-55 45-75 0. 52-79 57. 8-86 38. 18-63 + 0-36 80. 16. 19-92 80. 0. 42-30 8-28 24 Moon's L. L. ... 38. 19. 18-50 29-75 43-00 0. 46-32 5(5. 36-81 34. 53 94 + 054 76. 16. 31-82 76. 1. 2-98 8-27 26 Moon's L. L. ... 32.46. 17-75 29-26 51-25 0. 36-49 55.31-36 29. 50-93 + 0-70 70.48.24-41 70. 33. 13-52 8-24 27 Moon's U. L. ... 31. 1.40-50 29-38 45-75 0. 34-63 55. 1-69 28. 8-97 + 0-75 69. 5.27-31 69. 20. 30-06 8-23 28 Moon's L. L. ... 31.23. 1250 29-24 45-50 0. 34-97 54. 36 87 28. 14-51 + 0-76 69.26.54-12 69.11.58-17 8-22 Dec. 4 48. 19. 5-00 29-11 45-25 1. 4-06 55. 15-20 41. 4'45 + 0-18 86. 10.25-19 85. 55. 18-73 8-17 5 Moon's L. L. ... 52. 55. 20-00 28-98 44-75 1. 15-18 55. 57-22 44.27-18 0-02 90. 43. 28-38 90.28. 10-40 8-16 17 Moon's L. L. ... 58. 44. 57-00 29-88 34-00 1. 38-61 58. 46-94 50. 4-06 0-27 96.27.51-68 96.11.47-18 8-15 18 Moon's L. L. ... 53. 42. 10-00 29-93 33-00 1. 21-86 58. 9-90 46.41-13 0-06 91.28. 11-07 91. 12. 16-73 8-16 23 Moon's L. L. ... 33.31.24-00 29-47 38-75 0.38-81 55. 25-66 30. 24-44 + 0-66 71.32.59-43 71. 17.50-11 8-19 27 Moon's L. L. ... 33. 10. 16-75 29-89 33-75 0. 39-25 54. 7-25 29. 24-76 + 0-68 71. 12.52-32 70.58. 4-49 8-22 1758. Jan. 2 Moon's L. L. ... 55. 22. 36-00 28-85 40-75 1.22-56 55. 47-79 45. 43-93 0-13 93. 9.34-90 92. 54. 19-50 8-31 13 Moon's L. L. ... 60. 44. 36-00 29-51 43-75 1.43-31 59. 59-48 52. 9-17 0-27 98. 25. 30-27 98. 9. 5-89 8-49 14 Moon's L. L. ... 55. 34. 56-40 29-39 41-75 1.24-58 59. 1 1 -24 48.37-94 0-14 93.19. 3-30 93. 2.52-14 8-51 15 Moon's L. L. ... 50. 24. 12-50 2'J-5I 36-25 1. 11-21 58. 19-72 44. 44-77 + 0-09 88.11.59-43 87. 56. 2-39 8-53 16 Moon's L. L. ... 45. 28. 42-75 29-82 31-25 1. 1-20 57. 28-88 40. 46-87 +0-27 83. 20. 17-75 83. 4.34-65 8-55 19 Moon's L. L. ... 34. 19. 25-50 29-84 30-25 0.41-23 55. 25-09 31. 3-21 + 0-63 72. 20. 24-55 72. 5. 15-14 8-62 26 Moon's L. L. ... 40. 52. 56-50 30-22 32-25 0. 52-70 54. 1-52 35. 9-94 + 0-43 78. 50. 0-09 78. 35. 13-83 8-80 30 Moon's L. L. ... 58. 8.36-00 30-58 29-75 1. 39-47 55.37-91 47. 4-55 0-25 95.54.31-07 95. 39. 18-38 8-90 Feb. 1 66. 31. 11-75 30-22 30-50 2. 19-95 57. 17-44 52. 22-96 0-54 104. 12. 28-60 103. 56. 48-64 8-96 13 Moon's L. L. ... 42.34. 6-00 29-24 41-25 0. 53-09 57. 46-22 38. 52-37 + 0-36 80. 27. 27-48 80.11.39-62 9-25 15 Moon's L. L. ... 35. 9. 3-00 29-44 37-75 0.41-29 56. 0-24 32. 2-25 + 0-59 73. 9. 3-03 72. 53. 44-22 9-30 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" -JO. GREENWICH LUNAR REDUCTIONS. (F) (34) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equntoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. ^Rbular bliquity of Ecliptic. 5. 28'. 1758. Feb. 16 Moon's L. L. ... o / " 32. 49. 21-50 28-84 40-75 / n 0. 36-83 / a 55. 18-70 / a 29. 46-61 + 0-70 1 II 70.51.32-82 o / " 70. 36. 25-41 9-32 17 Moon's TJ.L. ... 31. 1. O'OO 20-22 35-25 0.35-19 54. 46-04 28. 1-04 + 0-75 69. 4.55-30 69. 19. 53-77 9-35 18 Moon's U. L. ... 30.46.31-50 29-59 32-50 0. 35-50 54.21-93 27. 36-92 + 0-76 68. 50. 51-24 69. 5.43-10 9-38 20 Moon's U. L. ... 33. 18.31-75 29-34 34-25 0. 38-69 53. 57-53 29. 25-87 -r-0-65 71.21. 5-62 71.35.50-79 9-42 27 Moon's L. L. ... 61. 11. 17-50 29-95 34-25 1.48-92 55.42-16 48.38-15 0-30 98. 55. 48-37 98. 40. 34-52 9-57 Mar. 1 Moon's L. L. ... 68. 50. 14-00 29-11 34-50 2. 29-76 57. 5-65 53. 5-10 0-55 106. 30. 58-51 106. 15.21-77 9-61 15 Moon's L. L. ... 33. 25. 26-50 29-51 49-50 0. 37-87 56. 12-32 30. 45- 14 + 0-67 71.26. 40-30 71. 11. 18-18 9-79 16 Moon's U. L. (). . 31.11.46-00 29-66 49-50 0. 34-92 0. 35 63 55.26-18 55.26-18 28. 30-49 28. 55-84 + 0-74 69.15. 11-38 69. 45. 2:V69 69.30.20-85 69. 30. 14-22 9-81 Moon's L. L. (") . . 31.42.23-50 17 Moon's U.L. ( c ).. Moon's L. L. (").. 30. 35. 2-75 31. 5.22-50 29-61 48-25 0.34-12 0.34-81 54.49-44 54. 49-44 27.41-44 28. 6-42 + 0-77 68. 39. 16-60 69. 9. 13-13 68.54.15-99 68.54.13-74 9-81 20 Moon's U.L. ... 34. 50. 43-90 29-22 39-25 0. 40-40 54. 0-13 30. 39-29 + 0-58 72.52. 5-99 73. 6.51-87 9-84 23 Moon's U.L. ... 45. 50. 19-75 29-59 35-25 1. 0-97 54. 25-47 38. 50-98 + 0-27 83. 43. 50-41 83. 58. 43-23 9-85 24 Moon's U. L. () . Moon's L. L. ( f ) . . 50. 18.58-40 50. 49. 35-00 29-80 36-75 1.11-61 1. 12-92 54.45 16 54. 45- 16 41.56-81 42. 16-61 -fO-07 + 0-07 88. 9.33-67 88. 39. 53-73 88.24.31-89 88. 24. 55-51 9-85 26 Moon's L. L. ... 59.58.11-25 30-12 43-50 1.42-26 55.36-10 47. 57-87 0-27 97.43.15-77 97.28. 3-58 9-86 28 Moon's L. L. ... 68. 0.42-50 30-18 42-00 2. 26-62 56. 39-28 52. 22-47 0-54 105.42. 6-51 105. 26. 36-98 9-86 29 Moon's L. L. ... 71. 2. 2-25 30-07 39-25 2. 52-18 57. 14-92 53. 59-24 0-65 108. 42. 14-94 108. 26. 35-67 9-86 30 Moon's L. L. ... 73. 3.32-50 29-75 44-25 3. 9-68 57. 52-92 55. 13-21 0-74 110.42.48-63 110.26.58-94 9-86 31 Moon's U. L. ... 73. 19. 29-00 29-74 45-25 3. 12-34 58.32-13 55. 55-12 0-78 110.58. 5-84 111.14. 6-29 9-86 Apr. 13 Moon's L. L. ... 30. 57. 42-00 29-86 44-75 0. 35-18 55. 34-87 28. 23-34 + 0-78 69. 1. 15-02 68.46. 3-17 9-79 14 Moon's U. L. ... 30. 29. 39-75 29-69 33-50 0.35-15 54. 57-38 27.41-02 + 0-78 68. 33. 55-06 68. 48. 56-63 9-79 16 Moon's U. L. ... 33. 39. 36-50 29-72 37-25 0.39-47 54. 13-54 29.51-26 + 0-63 71.41.45-74 71. 56. 35-30 9-77 19 Moon's U. L. ... 44. 7. 59 ; 50 29-64 42-75 0. 56-66 54. 25-40 37. 42-07 + 0-27 82. 2. 34-76 82. 17. 27-50 9-74 20 Moon's U. L. ... 48.34.10-75 29-66 46-75 1. 5-65 54. 45-91 40.52-14 + 0-15 86.25.44-81 86. 40. 43-24 9-72 22 Moon's U. L. ... 57. 53. 52-50 29-63 52-25 1.31-09 55.41-86 47. 0-03 0-27 95. 39. 43-69 95.54.57-46 9-70 May 1 Moon's U. L. ... 64.52. 1-00 30-23 41-75 2. 6-70 59.33-11 53.44-11 0-48 102. 31. 43-51 102.48. 0-67 9'59 12 Moon's U. L. ... 30. 46. 0-50 30-08 59-00 0. 34-16 54.58-71 27.55-17 + 0-76 68.50. 0-65 69. 6. 2-59 9-45 13 Moon's U. L. ... 32.28. 5-50 29-99 61-25 0. 36-23 54. 33-08 29. 4-93 + 0-69 70. 30. 57-89 70. 45. 52-80 9-44 The Moon's U. L. or L. L, was usually observed when the hright 1 L. or 2 L. was passing ihe Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (") Observed at Transit of 1 L. Correction applied for defective illumination, 0'' 19. ( b ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 3" '08. ( c ) Observed at Transit of 1 L. [diameter = 0"'14. ( d ) Observed at Transit of Center. Correction applied for defective illumination, + 1"- 84. Increase of N. P. D. during passage of Semi- ( b d ) The correction for change of N. P. D. during passage of Semidiameter has not been applied to either of these observations to form the numbers in the columns " Geocentric N.P.D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in these instances, represent the N. P. D. of Limb and Center at Transit of Center. (') Observed at Transit of 1 L. (rough limb). Z, D. increased 2 Verniers. Increase of N. P. D. during passage of Semidiameter = +11""31. O Observed at Transit of 2 L. Correction applied for defective illumination, + 0"'95. SECT. II. INVESTIGATION OF MOON'S NORTH POLAII DISTANCE. (35) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1758. May 14 Moon's U. L. ... o / n 35. 3. 10-00 30-01 o 68-00 / // 0. 39-44 / // 54. 17-82 / // 30. 58-98 // + 0-57 O ' II 73. 4. 11-43 o i a 73. 19. 2- 16 // 9-42 1C Moon's U. L. ... 42. 14. 54-00 30-30 61-75 0. 52-18 54. 20-02 36. 20-05 + 0-34 80. 10. 46-87 80. 25. 38-20 9-40 17 Moon's U. L. ... 46.33.51-50 30-32 57-75 1. 1-17 54. 36-90 39. 27-89 + 0-24 84. 26. 45-42 84. 41. 41-38 9-38 18 Moon's U. L. ... 51. 9.49-00 30-24 57-75 1. 11-72 55. 2-82 42.41-34 + 0-03 88.59.39-81 89. 14. 42-87 9-37 19 Moon's ILL. ... 55. 53. 17-75 30-24 55-75 1. 25-53 55. 35-52 45. 50-58 0-18 93. 40. 12-92 93. 55. 24-94 9-35 23 Moon's U. L. ... 71.37. 9-50 29-96 52-00 2. 52-65 58. 6-47 54. 59-09 0-70 109.16.22-76 109.32. 16-16 9-32 26 Moon's U. L. ... 72.35. 6-50 29-58 53-25 2. 59-89 59. 12-50 56.20-11 0-74 110. 13. 5-94 110. 29. 17-45 9-29 28 Moon's U. L. ... 66. 22. 28-50 29-84 55-25 2. 10-34 59.20-11 54.11-22 0-54 104. 1.47-48 104. 18. 1-08 9-27 June 10 Moon's U. L. ... 33. 42. 50-25 29-88 7125 0.37-11 54. 27-41 30. 1-42 -t-0-63 71.44.46-97 71.59.4033 9-22 13 Moon's U. L. ... 44.34. 12-25 29-99 62-50 0. 55-92 54.21-48 37. 57-14 + 0-27 82. 28. 31-70 82. 43. 23-43 9-23 14 Moon's U. L. ... 49. 2.45-50 29-87 63-75 1. 4-87 54. 40-76 41. 6-27 +0-13 86.54. 463 87. 9. 1-64 9-22 17 Moon's U. L. ... 62. 54. 29-75 29-97 48-00 1. 53-81 56. 33-02 50. 10-29 0-40 100. 37.33-27 100. 53. 1-06 9-23 18 Moon's U. L. ... 67. 1.13-00 30-04 52-75 2. 15-99 57. 21-08 52. 37-95 0-54 104. 42. 10-90 104. 57. 51-86 9-23 19 Moon's U. L. ... 70. 25. 27-50 30-06 62-50 2. 38-65 58. 8-60 54. 37-24 0-64 108. 4.48-67 108. 20. 42-66 9-24 20 Moon's U. L. ... 72. 47. 2-50 30-21 56-75 3. 4-57 58. 51-77 56. 4-08 0-75 110. 25. 22-64 110.41.28-47 9-24 22 Moon's U. L. . . . 73. 17. 2-00 29-91 49-00 3.11-44 59. 49-40 57. 8-20 -0-77 110.54.24-87 111.10.46-49 9-27 23 Moon's U. L. ... 71. 14. 8-25 29-94 49-75 2. 49-61 59. 59-19 56. 38-02 -0-68 108. 51. 39-56 109. 8. 3-87 9-27 26 Moon's U. L. ... 58.22. 5-00 30-05 53-25 1.33-88 59. 21-21 50. 20-62 0-27 96. 4. 38-39 96. 20. 52-29 9-30 28 Moon's U. L. ... 47. 39. 48-50 29-91 52-75 1. 3-35 58. 24-29 42. 58-05 + 0-19 85. 29. 14-39 85. 45. 12-69 9-31 July 16 Moon's U. L. ('). . 68.52. 3-50 29-63 57-25 2. 25-62 57. 31-37 53. 29-42 106. 32. 20-10 106.48. 3-88 9-59 17 Moon's U. L. ( b ). . 71.45.26-30 29-61 57-75 2. 49-96 58. 27-24 55.21-39 0-70 109. 24. 14-57 109. 40. 13-68 9-62 19 Moon's U. L. (). . Moon's L. L. ( d ). . 73.44. 8-00 74. 17. 1-00 29-54 57-75 3. 11-01 3. 17-83 60. 3-46 60. 3-46 57. 29-74 57. 39-56 0-79 111.21. 8-54 111.53.59-67 111.37.34-02 111. 37. 34 19 9-66 24 Moon's U. L. ... 54. 52. 55-25 29-63 48-75 1.21-89 59. 46-72 48. 41-84 0-13 92. 36. 55-57 92. 53. 16-46 9-79 25 Moon's U. L. ... 49. 22. 34-50 29-91 53-25 1. 7-20 59. 5-60 44. 38-78 +0-11 87. 10. 23-43 87. 26. 33-05 9-80 26 Moon's U. L. ... 44. 8.25-00 29-64 57-00 0. 55-04 58. 21-46 40. 25-89 + 0-27 82. 0.14-82 82. 16. 12-35 9-83 Aug. 11 Moon's U. L. ... 63.29.46-10 29-87 68-50 1.51-60 55.41-05 49. 39-67 0-43 101.13.18-00 101. 28. 31-55 10-22 12 Moon's U. L. ... 67. 22. 48-00 29-80 63-75 2. 14-23 56. 28-98 51. 58-40 0-54 105. 4.23-69 105. 19. 50-37 10-25 The Moon's U. L. or I,. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are tliose corresponding to the time of passage of the limb which was observed with the Transit. The N.P. I), is formed by adding to the corrected yuadrant Reading the Adopted Co-Latitude 38. 31'. 20"' 40. ( a ) Observed at Transit of Center. Increase of N. P. D. during passage of Scrnidiameter = + 9*- 37. ( b ) The observed Z. D. increased 4 Verniers. ( c ) Observed at Transit of 1 L. Correction applied for defective illumination, 0"'34. ( d ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 1"'62. (* d ) The correction for change of N. F. D. during passage of Semidiameter has not been applied to either of these observations to form the numbers in the columns "Geocentric N.P. D. of Limb," "Geocentric N.P. D. of Center;" which, therefore, in these instances, represent the N. P. D. of Limb and Center at Transit of Center. (F) 2 (36) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Pay. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. | Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of ' Ecliptic. 23.28'. 1758. Aug. 17 Moon's L. L. ... 1 " 71.43.49-00 In. 2994 o 57-25 / // 2.51-78 / // 60. 53-74 ; // 57. 39 83 // 0-68 o / a 109. 20. 20-67 / // 109. 3.41-41 // 10-38 18 Moon's L. L. (').. Moon's U. L. ("). . 68. 7.43-50 67. 33. 55-00 29-95 54-50 2.22-61 2.18-71 61. 15-23 61. 15-26 56. 40-35 56. 26-44 0-54 105. 44. 45-62 105.11. 5-79 105. 28. 0-48 105. 27. 50-94 10-41 20 Moon's U. L. ... 57. 19. 4-60 30-13 58-00 1. 29-53 60. 56-47 51. 563 -0-24 95. 0.48-56 95.17.28-56 10-45 21 Moon's U. L. ... 51. 34.46-50 29-76 59-50 1. 11-39 60. 19-89 47. 3-68 + 0-02 89. 20. 14-63 89. 36. 44-61 10-48 22 Moon's U. L. ... 45. 59. 56-00 29-78 54-25 0. 59-33 59.31-22 42.36-17 + 0-27 83. 49. 39-83 84. 5. 56-47 10-50 23 Moon's U. L. ... 40. 55. 16-50 29-93 5225 0.50-15 58. 36-76 38. 10-77 + 0-40 78. 49. 16-68 79. 5. 18-40 10-53 Sep. 9 Moon's U. L. ... 69.38.11-00 29-98 59-00 2. 32-79 56. 19-64 52. 38-90 -0-61 107. 19. 24-68 107.34.48-81 10-86 10 Moon's U. L. ... 72. 13. 32-75 30-06 58-75 2. 56-95 57. 9-80 54.16-81 0-72 109. 53. 32-57 110. 9. 10-44 10-87 12 Moon's L. L. ... 74.25. 575 29-98 56-00 3. 23-29 59. 2-81 56. 43-3 0-80 112. 3. 5-01 111.46.66-15 10-90 15 Moon's L. L. ... 66. 2.36-00 29-97 51-50 2. 9-90 61. 12-74 55. 45-69 0-51 103.40.20-10 103. 23. 35-64 10-94 16 Moon's L. L. ... 60. 50. 2-50 29-62 54-25 1.41-85 61. 23-33 53. 24-90 0-28 98. 29. 39-57 98. 1-2. 52-20 10-90 17 Moon's L. L. ... 55. 2. 13-00 29-6(5 54-50 1.21-48 61.12-44 49. 57-55 -0-11 92. 44. 57-22 92. 28. 12-83 10-96 18 Moon's U. L. ... 48.34.37-25 29-73 49-00 1. 5-51 60. 41-60 45. 17-90 + 0-16 86. 21.45-42 86.38.21-35 10-97 19 Moon's U. L. ... 43. 0.47-25 29-77 49-25 0.54-00 59. 54-91 40. 39-35 + 0-31 80. 52. 22-61 81. 8.45-74 10-98 20 Moon's TJ. L. ... 38. 8.53-50 29-81 42-25 0. 46-20 58. 58-53 36. 12-76 + 0-63 76. 4.47-87 76. 20. 55-55 10-98 21 Moon's U. L. ... 34. 15. 19-25 29-86 44-75 0. 39-92 57.58-14 32. 24-90 + 0-61 72.14.55-28 72. 30. 46-40 10-99 23 Moon's L. L. 30.31.27-25 30-05 40-00 0.35-14 56. 7-82 28. 18-08 + 0-80 68.35. 5-51 68. 19.44-63 11-00 25 Moon's L. L. ... 31. 7. I'OO 30-08 48-75 0. 35-36 64.49-41 28. 7-78 + 0-77 69. 10. 49-75 63.55.5036 11-02 26 Moon's L. L. ... 33. 1. 7-25 30-27 48-25 0.38-35 54. 24 40 29. 26 79 + 0-69 71. 3.39-90 70. 48. 47-37 11-02 Oct. 9 Moon's L. L. ... 74. 45. 17-50 29-29 44-75 3. 27 87 57. 49-36 55. 38-54 6-81 112.24.2(3-42 112. ?. 37-70 11-01 10 Moon's L. L. ... 74. 1. 9-75 29-68 43-50 3.21-28 58.37-34 56. 12-45 0-78 111.39.38-20 111.23.36-32 11-01 11 Moon's L. L. ... 71.51. 0-00 29-73 4375 2.56-61 59.24-81 56. 17-99 0-68 109. 28. 58-34 109. 12.43-46 11-01 12 Moon's L. L. ... 68.19.21-00 29-85 39-75 2. 27 97 60. 7-03 55.41-84 0-54 105. 57. 26-S)9 105.41. 0-53 u-oo 13 Moon's L. L. ... 63.39. 4-00 30-08 44-25 1. 58-85 60. 38-97 54. 10-04 0-41 101. 18. 12-80 101. 1.37-59 10-99 14 Moon's L. L. ... 58. 9.30-50 29-94 48-75 I. 33-65 60. 56-05 51.34-25 0-25 95. 50. 56-05 95.34. 16-15 10-99 15 Moon's L. L. ... 52. 15. 15-50 30-31 47-00 1. 16-41 60.54-85 47. 57 72 + o-oi 89. 59. 54-60 89. 43. 15-04 10-99 16 Moon's L. L. ... 46. 22. 14-70 30-50 36-50 1. 3-86 60. 34-67 43. 38-07 + 0-27 84.11. 1-16 83.54.27-16 10-98 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Miriilian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage, of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 3r,. 31'. 20" '40. (') Observed at Transit of 1 L. ( b ) Observed at Transit of Center. Correction applied for defective illumination, 1"'88. Increase of N. P. D. during passage of Semidiameter = 12' '02. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. U. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (37) T'hpr Correc- Geocentric Geocentric Tabular Year, Month, a ad Name of Object. Quadrant Reading. Baro- meter. i ncr mo- Refrac- tion. Tabular Horizontal Equatoreal Parallax. tion for Curva- ture of N. P. D. of U. L. or L. L., at Transit N. P.D. of Center at Transit Obliijuity of Ecliptic. Day. meter. Parallax. Path. of 1 L. or 2 L. of 1 L. or 2 L. 23.28'. 1758. o / in. / * / H / // // o / // o / // It Oct. 17 Moon's U. L. ... 40.24. 1-50 30-09 37-75 0.51-00 59. 67-60 38. 38-62 + 0-43 78.17.34-71 78. 33. 58-58 10-97 19 Moon's U. L. ... 32.23.16-50 29-96 40-2o 0. 37-67 58. 10-81 30. 56-90 + 0-69 70. 24. 18-36 70. 40. 12-96 10-96 21 Moon's L. L. ... 29. 56. 47-25 29-60 40-50 0. 33-78 56. 18-57 27. 54-05 + 0-82 68. 0.48-20 67. 45. 24-37 10-93 24 Moon's L. L. ... 34.30. 8-50 29-33 41-75 0. 39-83 54. 27-67 30. 38-92 + 0-62 72.31.30-43 72. 16. 37-01 10-90 2(5 Moon's L. L. ... 41.42.24-75 29-90 38-75 0. S2-95 54. 5-15 35. 47-42 + 0-38 79.38.51-06 79.24. 3-80 10-87 Nov. 5 Moon's L. L. ... 74. 56. 34-00 29-57 47-00 3. 31 -53 57. 20-10 55. 13-37 0-82 1 12. 36. 11"74 112. 20. 31'04 10-75 8 Moon's L. L. ... 69. 57. 18-00 29-35 60-75 2.34-71 58. 59-02 55. 14-95 0-60 107. 35. 57-56 107. 19. 49-74 \\J lit 10-70 9 Moon's L. L. ... 65. 47. 33-25 29-71 51-75 2. 7-22 59.28-44 54. 4-26 0-50 103.26.56-11 103. 10. 40-23 10-69 12 Moon's L. L. ... 49.16.59-50 30-20 45-25 1. 8-75 60. 7-61 46.21-95 + 0-15 87. 4. 6-85 86. 47. 40-23 10-65 13 Moon's L. L. ... 43. 37. 58-25 30-20 43-75 0. 56-61 59. 55-23 41. 8-05 -1-0-31 81.29. 7-52 81. 12.44-30 10-64 14 Moon's L. L. ... 38. 33. 40-00 29-60 38-75 0. 46-90 59. 28-76 36.51-62 + 0-54 76. 28. 56-22 76. 12. 40-25 10-63 15 Moon's L. L. ... 34. 25. 32-75 29-47 37-75 0. 40-24 58. 50-21 33. 2-78 + 0-63 72. 24. 31-24 72. 8.25-84 10-61 16 Moon's U. L. ... 30. 58. 32-75 29-58 34-50 0. 35-02 58. 3-26 29. 39-80 + 0-75 69. 0.49-72 69. 16.42-25 10-60 20 Moon's L. L. ... 33. 7.27-50 29-66 3775 0. 38-55 55. 0-68 29.51-52 + 0-68 71. 9.35-61 70. 54. 33-14 10-56 21 Moon's L. L. ... 36.11.11-00 29-96 34-75 0.43-93 64. 33-31 32. 0-63 + 0-54 74.11. 15-24 73. 56. 20-27 10-54 22 Moon's L. L. ... 39. A4.31 -50 30-11 33-75 0. 50-58 64. 16-75 34. 37-C6 -1- 0-47 77.52. 5-29 77. 37. 14-85 10-53 23 Moon's L. L. ... 44. 7.17-75 30-14 36-75 0. 58-32 54. 11-34 37. 32-00 -r 0-28 82. 2. 4-75 81.47. 15-80 10-52 24 Moon's L. L. ... 48. 39. 49-50 29-98 30-25 1. 8-91 54. 16-56 40. 33-95 + 0-17 86.31.45-03 86. 16. 54-64 10-51 Dec. 7 Moon's L. L. ... <>2. 35. 27-75 30-09 26-75 1.57-89 59. 9-87 52. 20-66 -0-36 100. 16. 25-02 100. 0. 14-2.1 10-42 8 Moon's L. L. ... 57. 14. 3-25 30-27 29-25 1.35-18 59. 16-32 49. 39-06 0-21 94.57. 19-56 94.41. 7-00 10-42 13 Moon's L. L. ("). . 32. 43. 3-25 29-88 33-75 0. 38-5(3 58. 6-76 31.11-74 + 0-70 70.43.51-17 70. 27. 57-69 10-42 Moon's U. L. ("). . 32. 10. 36-10 0. 37-77 58. 676 30. 43-88 70. 11.47-50 70. 27. 40-98 20 Moon's L. L. ... 30. 9.16-50 29-93 40-75 0.34-43 56. 10-12 28. 0-47 + 0-81 68. 13.11-67 67.57.50-16 10-42 18 Moon's L. L. ... 34.37. 4-50 29-71 41-50 0.40-54 54.59-16 31. 2-13 + 0-62 72. 38. 3-93 72.23. 1-87 10-44 1769. Jan. 3 Moon's L. L. ... 64. 13.28-50 29-49 40-25 2. 0-49 59. 31-16 53. 25-25 0-43 101.53.23-71 101.37. 7-08 10-61 6 47. 44. 8'00 SQ'Q 1 ! 34'00 1 fi-i i flQ Cl*J.*>9 40 09'jn i n*f>i GK. 00 I >.->-. QK i n fin*> 1 f I'fit* 8 Moon's L. L. ... 37.44. 5-75 t*s > ' 58. 8-90 *it). -4 / 35. 22-51 ^~ \> i + 0-54 OtJ. O*). 1 > 75. 40. 49-63 Ot). I ft D l > 75. 24. 55-55 1 U O(> 10-70 12 Moon's L. L. ( c ). . 29.40. 9-50 29-64 47-75 0. 33-09 56. 12-48 27. 42-00 + 0-83 67.50.21-84 67. 34. 59-68 10-79 Moon's U. L. ( d ). . 29. 15. 2-50 0. 3-2-40 56. 12-48 27. 15-35 67. 19. 39 95 67.35. 2-11 The IVfnon's U. L. or L. L. was usually observed when the bright 1 \*. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tallies above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. F. D is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. ( a ) Observed at Transit of 1 L. ('') Observed at Transit of Center. Correction applied for defective illumination, 2"' 89. Increase of N. P. D. during passage of Semi- diameter = 8" '06. ( c ) Observed at Transit of 1 L. Correction applied for defective illumination, + 0"'02. ( d ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = -f- !" 64. ( b d ) The correction for time of passage of Semidiameter has not been applied to either of these observations to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in these instances, represent the N. P. D. of Limb and Center at Transit of Center. : (38) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. 1 Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. f U. L. or L. L., at Transit of 1 L.or2L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 23.2B'. 1759. Jan. 13 Moon's U. L. ... Q 1 It 30. 28. 36-00 in. 29-98 o 42-25 / // 0. 34-82 / // 55.41-21 / // 28. 2-20 It H-0-78 O / /' 68. 32. 29-80 O 1 It 68.47.43-39 // 0-81 14 Moon's L. L. ... 33.19.18-50 29-99 47-50 0. 38-49 55. 11-92 30. 7-17 + 0-67 71.21.10-89 71. 6. 5-33 0-83 15 Moon's L. L. ... 36. 32. 12-70 30-12 45-50 0. 43-74 54. 46-30 32. 24-44 -1-0-54 74.31.52-94 74. 16. 54-41 10-86 16 Moon's L. L. ... 40. 24. 49-00 30-24 43-75 0. 50-64 54. 26-28 35. 5-75 + 0-45 78.21.54-74 78. 7. 1-69 0-88 17 Moon's L. L. ... 44.44. 4-50 30-05 46-50 0.58-21 54. 13-57 37. 58-43 + 0-27 82. 38. 24-95 82. 23. 35-38 10-90 18 Moon's L. L. ... 49. 19. 25-50 30-01 37-50 1. 9-53 54. 9-76 40. 53-47 + 0-14 87.11. 2-10 86. 56. 13 58 10-93 19 Moon's L. L. ... 54. 1.24-00 30-08 32-25 1. 23-37 54. 16-14 43. 44-28 0-07 91. 50. 23-42 91. 35. 33-15 10-96 20 Moon's L. L. ... 58.41.22-25 30-36 27-75 1.41-30 54. 33-34 46. 26-32 0-27 96. 27. 57-36 96. 13. 2-38 10-97 21 Moon's L. L. ... 63. 10. 3-75 30-47 25-75 2. 2-61 55. 1-30 48. 55-98 0-38 100. 54. 30-40 100. 39. 27-75 11-00 22 Moon's L. L. ... 67. 16. 40-75 30-32 25-75 2. 27-09 65. 39-27 51.10-65 0-54 104.59. 17-05 104.44. 3-99 11-03 Feb. 3 Moon's L. L. ... 43. 56. 21-75 30-13 44-50 0. 57-00 59. 1-84 40. 45-09 + 0-29 81.47.54-35 81.31.45-76 11-33 4 Moon's L. L. ... 38. 59. 25-70 30-33 42-75 0. 48-39 68. 23-54 36. 31 -69 + 0-52 76.55. 3-32 76.39. 5-23 11-36 6 Moon's L. L. ... 31. 52. 43-25 30-12 43-75 0. 36-86 57. 8-15 29. 57-83 + 0-74 69. 54. 43-42 69.39. 6-00 11-42 7 Moon's L. L. ... 30. 5. 26-50 30-20 45-25 0. 34-33 56. 33-61 28. 8-91 + 0-81 68. 9. 13-13 67.53.45-17 11-44 8 Moon's U. L. ( a ). . 29. 5. 12-00 30-29 44-75 0. 33-09 56. 2-02 27. 1-88 67.10. 3-61 67. 25. 22-91 11-47 11 Moon's TJ. L. (").. Moon's L. L. () . . 34. 44. 25-50 35.15. 8-25 30-35 40-00 0.41-73 0. 42-53 54.45-23 54. 45-20 30. 59-97 31.24-10 + 0-58 + 0-59 72. 45. 28-24 73.15.48-63 73. 0.26-47 73. 0.50-39 11-55 Mar. 6 Moon's L. L. 32. 30. 59-00 29-47 41-25 0. 37-15 57.49-75 30. 52-3-2 + 0-71 70.32. 4-94 70.16.16-12 12-03 6' Moon's L. L. ... 30. 19. 2-75 29-30 40-75 0. 33'92 57. 0-53 28. 34-00 + 0-81 68. 22. 23-88 68. 6.48-54 12-05 7 Moon's U. L. 28. 55. 45-25 29-54 38-75 0. 32-46 56. 16-37 27. 0-69 + 0-84 67. 0. 38-26 67. 16. 1-49 12-07 9 Moon's U. L. 30. 59. 38-75 28-60 44-75 0. 33-73 55. 7-33 28. 10-79 + 0-75 69. 3.22-84 69. 18.27-14 12-10 10 Moon's U. L. 33. 37. 58-00 29-70 35-25 0. 39-56 54. 42-54 30. 5-93 + 0-63 71.39.52-66 71.54.50-16 12-12 11 Moon's U. L. 37. 5. 6-00 29-49 36-25 0. 44-54 51. 23-36 32. 35-80 -4-0-54 75. 4.35-68 75.19.27-93 12-14 12 Moon's U. L. 41. 8.49-50 2991 38-50 0.51-96 54. 10-08 35. 26-73 + 0-39 79. 5.35-52 79.20.24-13 12-14 13 Moon's TJ. L. 45. 37. 22-25 30-08 41-50 1. 0-72 54. 1-91 38. 25-62 + 0-27 83. 31. 18-02 83.46. 4-39 12-16 16 Moon's L. L. 60.12.61-50 29-55 37-25 1.42-65 54. 11-44 46.51-78 0-27 97. 59. 2-50 97. 44. 13-53 12-19 17 Moon's L. L. 64. 34. 36-25 29-84 36-50 2. 4-81 54. 27-80 49. 1-72 0-45 102. 18.59-29 102. 4. 5-83 12-20 Apr. 2 Moon's L. L. 30. 44. 33-00 29-91 52-00 0. 34-42 58. 10-06 29.31-14 +0-79 68. 46. 57-47 68. 3J. 3-0 12-26 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20'' '40. C) Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = + 0"-46. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," " Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( b ) Observed at Transit of 1 L. ( c ) Observed at Transit of 2 L. Correction applied for defective illumination, + 0"'97. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (39) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L.or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1759. Apr. 5 Moon's U. L. ... O 1 II 30. 7.44-50 29-78 o 51-75 / // 0. 33-45 / a 55. 35-42 ; /; 27. 41-80 // + 0-79 O 1 II 68.11.57-34 O 1 /' 68.27. 9-33 It 12-25 7 Moon's U. L. ... 35. 45. 40-75 30-02 42-25 0. 42-67 54. 32-30 31.40-41 +0-54 73.46. 3-95 74. 0.58-65 12-24 10 Moon's U. L. ... 48.45. 3-00 29-72 41-75 1. 6-89 53. 58-48 40. 23-53 + 0-14 86.37. 6-90 86. 51. 52-32 12-22 12 Moon's U. L. ... 58. 18.63-50 29-77 43-75 1. 34-64 54. 8-00 45. 53-37 0-27 96. 5.54-90 96. 20. 42-94 12-21 13 Moon's U. L. ... 62. 50. 56-75 29-91 44-75 1.54-05 54. 20-93 48.11-55 0-40 100. 35. 59-25 100. 50. 50-83 12-20 14 Moon's L. L. ... G7. 28. 19-50 29-85 42-75 2. 20-99 54. 39-05 50. 19-53 0-54 105.11.40-82 104. 56. 44-28 12-19 15 Moon's L. L. ... 70.59. 7-50 29-87 37-50 2.51-19 55. 3-08 51. 54-00 0-65 108. 41. 24-44 108.26.21-31 12-19 17 Moon's U. L. ... 74. 47. 58-00 29-85 39-25 3. 34-96 56. 8-66 54. 2-11 0-84 112.28.50-41 112.44.11-53 12-16 18 Moon's TJ. L. ... 75. 12. 23-25 30-15 33-75 3. 45-83 56. 50-62 54. 48-86 -0-86 112.52.39-76 113. 8.12-37 12-16 May 1 Moon's U. L. ... 28.25. 11-50 29-48 55-75 0. 30-63 57.27-16 27. 7-76 +0-87 66. 29. 55-64 66. 45. 38-27 12-02 2 Moon's TJ. L. ... 29. 14. 27-75 29-62 5275 0. 32-03 56.31-83 27. 24-23 + 0-83 67.18.56-78 67. 34. 24-25 12-00 3 Moon's U. L. ... 31. 17.31-50 29-70 54-75 0. 34-73 55. 43-39 28.44-12 + 0-74 69. 20. 43-25 69. 35. 57-44 11-99 6 Moon's U. L. ... 42.22.51-50 29-66 53-75 0.52-15 54. 14-65 36. 22-04 + 0-34 80. 18. 42-35 80. 33. 32-21 11-95 8 Moon's TJ. L. ... 51. 50. 0-50 29-90 56-75 1.12-78 54. 3-44 42. 18-94 o-oo 89. 40. 14-74 89.55. 1-52 11-93 9 Moon's U. L. ... 56. 39. 57-50 29-71 53-75 1.26-87 54. 9-69 45. 4-35 0-21 94. 27. 40-21 94. 42. 28-71 11-91 10 Moon's U. L. ... 61.21. 6-50 29-74 49-75 1.45-42 54. 22-20 47. 32-61 0-33 99. 6.39-38 99.21.31-31 11-90 15 Moon's U. L. ... 75.24. 12-25 30-07 50-75 3. 40-26 56. 29-36 54.31-31 0-87 113. 4.40-73 113.20. 7-52 11-83 17 Moon's TJ. L. ... 73. 0.32-00 30-19 42-25 3. 12-72 57.41-19 55. 0-91 0-76 110.40. 3-45 110.55.49-93 11-81 18 Moon's U. L. ... 69.49.18-50 30-39 40-75 2. 42-41 58. 19-43 54. 34-87 0-62 107. 28. 45-82 107. 44. 42-79 11-80 June 2 Moon's U. L. ... 40. 32. 43-50 29-22 61-25 0. 47-45 54. 39-82 35. 20-07 + 0-42 78. 29. 31-70 78. 44. 28-46 11-70 4 Moon's TJ. L. ... 49. 54. 53-50 29-56 53-75 1. 7-62 54.11-24 41.16-19 + 0-09 87. 46. 5-42 88. 0.54-35 11-69 6 Moon's U. L. ... 59. 33. 35-75 29-44 55-75 1.35-89 54. 22-52 46. 42-36 0-27 97. 19. 49-41 97.34.41-42 11-69 7 Moon's TJ. L. ... 64. 5. 13-00 29-90 5625 1.57-48 54. 40-50 49. 0-70 0-45 101.49.29-73 102. 4.26-68 11-68 8 Moon's TJ. L. ... 68. 9.51-00 30-11 54-75 2. 23-54 55. 4-32 50. 57-74 0-54 105. 52. 36-66 106. 7.40-13 11-68 9 Moon's U. L. ... 71. 33. 46-50 29-94 52-75 2. 51-71 55. 32-60 52. 32-44 0-70 109. 15. 25-47 109. 30. 36-69 11-68 14 Moon's U. L. ... 71. 0. 12-50 30-02 49-75 2. 47-87 58. 6-28 54. 46-81 0-67 108. 39. 33-29 108. 55. 26-64 11-68 17 Moon's U. L. ... 56.31.38-75 30-24 63-75 1. 26-20 59. 14-45 1 49.13-23 0-20 94. 15. 11-92 94.31.23-96 11-69 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20'' '40. (40) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23\28'. 1759. July 4 Moon's U. L. ... o < // 62. 16. 3-50 30-37 64-25 / // 1.48-59 / /' 54. 32-57 / // 43. 6-48 t 0-37 / II 100. 1. 5-64 O 1 II 100.16. 1-01 II 11-86 5 Moon's U. L. ... 66. 32. 34-00 30-36 66-50 2. 10-67 54. 55-44 50. 13-39 0-54 104. 15.51-14 104.30.52-18 11-88 6 Moon's U. L. ... 70. 14. 51-50 30-26 70-75 2. 35-59 55. 25-96 62. 0-97 0-63 107. 56. 45-89 108. 11.55-29 11-89 7 Moon's U. L. ... 73. 8.22-50 30-01 67-75 3. 3-24 56. 1-70 53. 28-22 0-77 110.49. 17-15 111. 4.36-30 11-91 8 Moon's U. L. ... 74. 57. 32-75 30-00 64-75 3.27-13 56. 40-48 54. 35-19 0-85 112.37-44-24 112.53.14-07 11-93 9 Moon's U.L.(').. Moon's L. L. (") . . 75.28.21-50 75. 59. 42-75 29-91 65-25 3. 33-69 3.41-71 57. 19-06 57. 19-16 55. 20-29 55. 28-46 0-88 0-88 113. 7.53-88 113.39. 15-52 113.23.34-29 113.23.35-08 11-94 10 Moon's U. L. ... 74.31.49-25 29-81 62-75 3. 20-83 57.55-10 55.40-15 -0-83 112. 10. 49-50 112.26.39-79 11-96 11 Moon's U. L. ... 72. 7.59-25 29-96 58-50 2. 55-49 58. 25-94 55.27-36 0-72 109.46.47-06 110. 2.45-81 11-98 12 Moon's U. L. ... 68. 25. 58-50 30-08 60-25 2. 23-74 58. 50-05 54. 32-78 0-55 106. 5. 9-31 106.21.14-67 12-01 13 Moon's U. L. ... 63. 41. 19-00 30-17 57-75 1.56-14 59. 6-76 52. 48-49 0-43 101. 21. 46-62 101.37. 56-56 12-02 14 Moon's U. L. ... 58. 13 56-25 30-06 55-75 1. 32-94 59. 16-10 50. 11-84 0-27 95. 56. 37-48 96. 12. 49-98 12-04 15 Moon's U. L. ... 52. 24. 30-50 29-84 64-75 1. 12-96 59. 18-88 46. 47-84 0-02 90. 10. 16-00 90. 26. 29-27 12-07 17 Moon's U. L. ... 41. 0. 7-50 3013 60-75 0. 49-76 59. 8-03 38. 34-90 + 0-40 78. 53. 43-16 79. 9.53-45 12-10 31 Moon's U. L. ... 60. 28. 25-50 29-37 61-75 1.38-04 54. 18-31 47. 4-81 -0-29 98. 14. 18-84 98.29. 9-70 12-42 Aug. 1 Moon's U. L. 64. 52. 59-50 29-67 65-25 1.58-61 54. 34-57 49. 15-06 0-49 102.37. 2-96 102. 51. 58-28 12-45 3 Moon's U. L. ... 72. 2.40-75 30-03 61-25 2.54-03 55. 36-68 52. 45-12 0-72 109.44. 9-34 109.59.21-69 12-51 5 Moon's L. L. ... 75.58. 19-50 29-87 62-75 3.42-17 57. 6-88 55. 16 24 0-87 113.38. 4-96 113.22.27-89 12-56 7 Moon's L. L. ... 73. 53. 38-50 29-98 64-25 3. 13-25 58. 39-45 56. 12-30 0-78 111.31.59-07 111. 15.56-62 12-62 8 Moon's L. L. ... 70. 38. 35-50 30-00 63-75 2. 39-82 59. 16-42 55. 45-74 0-63 108. 16.49-35 108. 0. 3(5-76 12-64 9 Moon's U. L. ... 65. 36. 33-00 29-90 63-25 2. 4-03 59. 42-59 54. 12-16 0-52 103.15.44-75 103.32. 4-51 12-67 10 Moon's U. L. ... 60. 12.41-50 29-93 61-75 1.38-86 59 56-27 51.49-65 ! 0-27 97. 53. 50-84 98.10.14-35 12-70 11 Moon's TJ. L. ... 54. 18. 11-00 29-94 64-75 1. 18-42 59. 56-89 48. 28-99 0-10 92. 2.2073 92.18.44-40 12-73 12 Moon's U. L. ... 48. 16. 16-90 30-14 55-75 1. 4-81 59. 46-32 44. 23-92 + 0-17 86. 4. 18-36 86. 20. 39-14 12-75 13 Moon's U. L. ... 42.30. 1-50 30-12 52-75 0.53-28 59.27-14 39. 57-06 + 0-34 80.22. 18-46 60. 38. 33-98 12-78 15 Moon's U. L. ... 33. 6.59-25 30-05 54-75 0. 37-71 58.33 10 31.4631 + 0-66 71. 7.11-71 71.23.12-42 12-83 28 Moon's U. L. ... 63. 22. 15-00 29-81 64-75 1.51-61 64. 12-38 48. 17-40 0-42 101. 7. 9-19 101.21.58-43 13-13 30 Moon's U. L. ... 70. 58. 25-00 30-00 58-75 2. 44-42 54. 56-50 51.47-30 0-67 108.40.41-85 108. 55. 43-18 13-18 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. I), of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. ., (*) Observed at Transit of 1 L. Correction applied for defective illumination, 0"-54. ( b ) Observed at Transit of 2 L. SECT. II. INVESTIGATION OF MOON'S NORTH POLAII DISTANCE. (41) Year, Month, and Name of Object. Quadrant Reading. Baro- meter. Ther- mo- Refrac- tion. Tabular Horizontal Equatoreal Parallax. Correc- tion for Curva- ture of Geocentric N. P. D. of U.L. or L. L., at Transit Geocentric N. P. D. of Center at Transit Tabular Obliquity of Ecliptic. Day meter. Parallax. Path. of 1 L. or 2 L. of 1 L. or 2 L. 23 D .28'. 1759. / ./ in. , i // ' It O / a o / " Aug. 31 Moon's U. L. ... 73. 38. 44-00 29-87 55-75 3. 12-84 55.34-19 53. 10-48 0-79 111.20. 5-97 111.35.17-63 13-19 Sep. 3 Moon's L. L. ... 75. 3.17-75 29-70 60-50 3. 28-18 58. 10-39 56. 3-57 0-83 112.42. 1-93 112.26. 7-45 13-25 4 Moon's L. L. ... 72. 28. 33-50 29-92 52-75 3. 0-97 59. 4-85 56.11-03 0-72 110. 6.43-12 109. 50. 33-70 13-28 5 68. 30. 2-00 29-59 60'75 2.21-73 59. 52'03 55. 32-03 0-54 106. 8. 11-56 105. 51. 49-22 13-30 6 Moon's L. L. (*) . . 63. 22. 14-00 29-86 58-75 1. 53-15 60. 26-60 53. 51-00 0-30 101. 1.36-25 100. 45. 4-33 13-32 9 Moon's U. L. ... 44. 28. 36-50 29-84 62-25 0. 55-48 60. 28-97 42. 9-51 + 0-27 82.18.43-14 82.35. 15-61 13-37 10 Moon's U. L. ... 38.51.25-00 29-92 60-75 0. 45-80 59. 58-79 37.24-61 + 0-49 76.46. 7-08 77. 2.31-28 13-39 11 Moon's U.L. ... 34. 8.54-75 30-08 53-75 0. 39 33 59. 19-40 33. 4-84 + 0-62 72. 7.50-26 72.24. 366 13-39 12 Moon's U. L. ... 30. 39. 16-50 29-89 60-75 0. 33-67 58. 35-34 29. 39-25 + 0-77 68.41.32-09 68. 57. 33-42 13-41 13 Moon's L. L. ... 29. 6.36-50 29-87 54-25 0. 32-03 57. 50-72 27. 55-63 + 0-86 67. 10. 34- 16 66. 54. 45-07 13-43 15 Moon's L. L. ... 29.21. 8-00 30-21 52-25 0. 32-85 56. 28-91 27. 28-63 -t-0-85 67. 25. 33-47 67. 10. 6-80 13-45 28 Moon's U. L. ... 75. 0.45-60 29-94 61-75 3. 28-74 55. 24-66 53. 22-98 0-85 112.42.10-91 112.57.19-95 13-54 29 Moon's L. L. 76. 23. 26-50 29-92 55-75 3. 52-72 56. 9-86 54. 27-02 0-89 114. 4. 11-71 113.48.50-27 13-55 30 Moon's L. L. ... 75. 56. 52-50 29-92 53-75 3.46-32 57. 3-38 55. 12-52 0-87 113.36.45-83 113.21. 9-71 13-54 Oct. 1 Moon's L. L. (").. 74. 5. 4-10 29-94 50-75 3. 20-83 58. 2-29 55. 39-91 111.44. 5-42 111.28.13-16 13-54 2 Moon's L. L. ... 70. 48. 49-00 30-07 50-75 2. 46-05 59. 2-55 55. 36-22 0-63 108.27. 18-60 108. 11. 9-71 13-55 4 Moon's L. L. ... 60.40. 33-75 30-06 50-75 1.43-45 60. 43-22 52.45-10 n-27 98. 20. 52-23 98. 4. 15-86 13-54 ^\7 1 5 Moon's L. L. (').. 54. 26. 14-00 30-04 56-75 1.20-35 61.11 99 49. 34-94 0-09 92. 9. 19-72 91. 52. 35-46 1355 6 Moon's L. L. ... 47. 58. 57-50 30-12 56-25 1. 4-05 61. 20-58 45.21-68 + 0-20 85. 46. 0-47 85. 29. 13-86 13-55 7 Moon's U. L. ... 41. 15. 4-00 30-09 53-25 0. 50-90 61. 8-13 40. 5-30 + 0-38 79. 7. 10-38 79. 23. 53-58 13-54 8 Moon's U.L. ... 35.51. 13-50 30-02 56-50 0.41-58 60. 36-77 35. 16-69 + 0-54 7. 47. 59-33 74. 4. 33-94 1354 12 Moon's L. L. ... 28.41.25-25 29-17 49-75 0. 31-03 57. 7-14 27. 12-58 + 0-88 66.46. 4-98 66. 30. 27-84 1352 13 Moon's L. L. ... 30.28. 2-25 29-98 48-75 0. 34-35 56. 18-99 28. 20-81 + 0-80 68.31.36-99 68. 16. 13-04 13-52 14 Moon's L. L. ... 33.22. 4-50 29-60 45-25 0. 38-24 55.38-01 30. 23-65 +0-67 71.23.40-16 71. 8.27-45 13-51 28 Moon's L. L. ... 75. 13. 37-50 29-47 47-25 3. 34-83 56. 47-63 54. 46-49 0-83 112.53.45-41 112.38. 13-61 13-39 31 Moon's L. L. ... 63. 42. 8-60 30-20 46-75 1.58-98 59. 35-51 53. 14-79 0-41 101. 22. 12-78 101. 5.54-97 1334 Nov. 1 Moon's L. L. ... 57.52. 3-00 30-33 37-75 1.35-97 60. 25-56 50. 58 62 0-24 95.34. 0-51 95. 17.28-97 13-33 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric-N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N.P.D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" -40. (") Observed at Transit of 1 L Increase of N. P. D. during passage of Semidiameter = 15"' 36. (") Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = 7"' 20. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," "Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( c ) Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = 17"- 75. GREENWICH LUNAR REDUCTIONS. (G) (42) REDUCTION OF GREENWICH LUNAK OBSERVATIONS. Ther- Correc- Geocentric Geocentric Tabular Year, Month, and Pay. Name of Object. Quadrant Reading. Baro- meter. mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. tion for Curva- ture of Path. N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. N. P. D. of Center at Transit of 1 L. or 2 L. Obliquity of Ecliptic. 2328'. 1759. O / " In. / // / a , It o ; // o / a ft Nov. 2 Moon's L. L. 51.31.46-25 30-30 37-25 1. 15'95 61. 2-99 47. 35-48 + 0-04 89. 16. 47-16 89. 0. 5-37 13-32 3 Moon's L. L. ... 45. 7. 11-00 30-20 39-75 1. 0-12 61.22-46 43. 16 33 + 0-27 82. 56. 15-46 82. 39. 28-33 13-30 5 Moon's U. L. ... 33.31. 0-25 2996 49-75 0. 38-56 60. 57 90 33. 26 26 + 0-64 71.29.33-59 71.46. 13-99 13-28 6 Moon's U. L. ... 29. 61. 12-50 29-85 43-50 0. 33-73 60. 16-71 29.46-89 + 0-81 67.53.20-55 68. 9.49-66 13-27 8 Moon's L. L. ... 28. 7.53-20 29-55 45-75 0. 30-96 58. 22-70 27. 18-54 -t-0'90 66. 12. 26-92 65. 56. 29 06 13-24 13 Moon's L. L. ... 44.32. 5-70 29-85 34-75 0. 58-84 54. 32-47 38. 3-55 + 0-27 82. 26. 21 66 82.11.26-91 13-17 14 Moon's L. L. ... 49.28.30-50 29-85 34-75 1. 993 54. 12 96 41. 1-49 + 0-13 87. 19. 59-47 87. 5.10-07 13-15 27 Moon's L. L. ... 65. 53. 39-50 29-96 44-75 2.10-77 58.15-08 53. 0-14 0-51 103.34.10-02 103. 18.14-26 13-02 28 Moon's L. L. ... 60.33. 0-50 29-74 43-75 1.43-30 59. 2-36 51.13-65 0-27 98. 14. 50-28 97.58.41-54 13-02 29 Moon's L. L. ... 54.36. 025 30-10 3525 1.24-67 59. 46-97 48. 32-03 0-09 92. 20. 13-20 92. 3. 52-24 13-01 30 Moon's L. L. ... 48. 21. 55-75 30-25 30-00 1. 8-84 60.24-01 44. 56-07 -(-0-18 86. 9.29-10 85. 52. 57-99 13-00 Dec. 2 Moon's L. L. ... 36. 41. 23-25 29-48 33-25 0.44-17 60. 55-76 36. 10-88 +0-54 74. 37. 17-48 74. 20. 37-66 12-99 3 Moon's L. L. (). . 32.12. 3-25 29-67 36-75 0. 37-30 60. 44-35 32. 8-59 + 0-72 70. 1 1. 53-07 69. 55. 16-38 12-98 Moon's U. L. ( b ). 31.38. 4-00 0. 36-49 60. 44-35 31.37-92 69. 38. 21-87 69. 54. 58-56 7 Moon's L. L. ... 30. 36. 10-25 29-72 33-75 0. 35-32 57.37-18 29. 7-23 +0-80 68. 38. 59-54 68. 2 r 3. 14-17 12-97 8 Moon's L. L. ... 33. 52. 46-00 29-74 36-00 0. 39-93 56. 40-90 31.23-32 -f-0'65 71.53.23-66 71.37.53-71 12-96 9 Moon's L. L. ... 37. 59. 30-60 29-82 36-00 0. 46-56 55. 50-68 34. 10 32 -I-0-54 75. 57. 27-78 75.42. 11-59 12-96 10 Moon's L. L. ... 42.38. 3-50 29-72 33-75 0. 54-94 55. 8-91 37. 9-35 + 0-35 80.33. 9-84 80.18. 5-11 12-97 11 Moon's L. L. ... 47. 34. 19-00 29-60 28-25 1. 5-77 54. 37-46 40. 7-78 + 0-22 85.26.37-61 85. 11.41-50 12-96 12 Moon's L. L. ... 52.37. 2-00 29-74 27'75 1. 19-08 54. 16-46 42. 56-67 o-oo 90.26.44-81 90. 11.54-45 12-96 14 Moon's L. L. ... 62. 23. 57-25 29-70 28-25 1.55-05 54. 4-76 47. 45-67 0-36 100. 9.26-67 99. 54. 39-52 12-97 26 Moon's L. L. ... 56.41.54-50 29-34 41-25 1.28-13 58. 44-08 48. 53 97 0-18 94. 25. 48-88 94. 9.45-16 13-04 27 Moon's L. L. ... 50. 42. 48-50 29-64 35-00 1. 12-50 59. 13-70 45. 38-43 + 0-08 88. 29. 43-05 88. 13.31-20 13-00 28 Moon's L. L. ... 44.43. 0-50 29-24 4325 0. 56-98 59. 39-03 41.45-53 + 0-27 82. 33. 32-62 82. 17. 13-84 13-07 31 30. 30. 45-50 29-09 41-25 0. 33-91 59. 57-99 30. 13-48 + 0-80 68.32.27-13 68.16. 3-15 13-11 1760. Jan. 1 Moon's L. L. ... 28. 23. 43-50 29-03 38-75 0.31-20 59. 38-03 28. 8-30 + 0-90 66. 27. 27-70 66.11. 9-20 13-12 2 Moon's U. L. ( c ). . 27. 29. 14-00 29-34 33-75 0. 30-67 59. 5-05 27. 3-04 + 0-90 65.34. 2-93 65. 50. 12-40 13-14 3 Moon's U. L. ... 28. 50. 3-50 29-50 34-75 0. 32-56 58.22-21 27. 56-02 + 0-85 66.54. 1-29 67. 9.59-01 13-16 The Mon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Georentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. \'. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. \ () Observed at Transit of 1 L. ('') Observed at Transit of Center. Correction applied for defective illumination, 1"'10. Increase of N. P. D. during passage of Semidiameter == 11'''07. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( c ) Observed at Transit of 2 L. Increase of N. P. D. during passage of Semidiameter = + 1"'46. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (43) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoroal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U.L.or L. L., at Transit of 1 L. or 2 L. Geocentric N P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1700. o / /' in. o / // / // / // // o / a O 1 'I II Jan. 8 Moon's L. L. ... 50. 34. 59-75 30-17 19-75 1.15-90 54.44-19 42. 6-05 + 0-09 88. 25. 30-09 88. 10.32-14 13-24 22 Moon's L. L. ... 58.21. 4-00 30-05 37-75 1.36-88 58.41-23 49. 46-39 0-26 96. 4.14-63 95. 48. 11-68 13-54 25 Moon's L. L. ... 40.44. 5-00 29-24 37-75 0. 50-15 59. 13'99 38. 26-36 + 0-44 78. 37. 49-63 78.21.37-71 13-62 26 Moon's L. L. ... 35.41.38-25 29-08 36-75 0. 41-70 59. 15-77 34. 21-59 + 0-57 73. 39. 19-33 73.23. 6-92 1365 28 29 Feb. 2 Moon's L. L. ... 28. 59. 56-50 27. 23. 28-00 38. 25. 45-50 29-69 29-47 30-15 42-75 32-75 34-75 0. 32-45 0. 30-75 0. 47-94 59. 0-77 58. 42-24 56. 25-74 28. 23-45 26. 47-36 34.52-11 + 0-87 + 0-91 + 0-54 67. 3.26-77 65. 28. 32-70 76.23. 2-27 60. 47. 18-48 65. 44. 35-92 76. 7.36-47 13-68 13-71 13-84 Moon's L. L. ... 5 Moon's L. L. ... 53. 38. 33-30 29-69 30-75 1.21-41 54. 43-91 43. 53-74 0-05 91. 27. 21-32 91. 12.23-45 13-92 6 Moon's L. L. ... 58. 42. 13-00 29-70 26-75 1. 39-37 54. 23-75 46. 18-55 0-27 96. 28. 53-95 96. 13. 59-60 13-95 7 Moon's L. L. ... 63. 27. 53-50 29-96 29-75 2. 1-07 54. 13-67 48.21-22 0-40 101. 12. 53-35 100. 58. 3-75 13-97 9 Moon's L. L. ... 71.28.14-00 29-97 40-75 2. 55-30 54. 26-60 51. 28-57 0-67 109. 11. 0-46 108. 56. 7-32 14-04 22 Moon's L. L. ... 36. 53. 15-00 30-14 32-75 0. 45-53 59.21-60 35. 24-84 + 0-54 74. 49. 56-63 74. 33. 42 62 14-35 24 Moon's L. L. ... 29.27.51-00 29-60 41-75 0. 33-04 58. 42-33 28. 39-53 + 0-84 67.31. 5-75 67. 15. 2-51 14-39 25 Moon's U. L. ... 27. 23. 9-00 29-67 37-25 0. 30-66 58. 18-13 26. 36-07 + 0-91 65. 28. 24-90 65.44.21-51 14-42 27 Moon's U. L. ... 29. 6. 1-00 29-54 38-75 0. 32-69 57. 23-24 27.41-78 +0-83 67. 10. 13-14 67. 25. 54-69 14-46 28 Moon's U. L. ... 32. 3. 37-25 30-11 35-75 0. 37-73 56.53-18 29.59-10 -tO'71 70. 5.36-99 70.21.10-31 14-49 29 Moon's ILL. ... 36. 2. 50-00 30-33 3375 0. 44-34 56. 22-27 32. 57-84 + 0-54 74. 1.57-44 74.17.22-31 14-51 Mar. 1 Moon's ILL. (").. 40. 44. 46-50 30-30 29-75 0. 52-87 55.51-36 36. 15-30 + 0-41 78. 40. 44-88 78.56. 1-25 14-53 4 Moon's L. L. ... 56. 49. 14-50 30-04 30-75 1.32-69 54. 32-95 45. 28-79 0-19 94.36.38-61 94.21.43-74 14-59 7 Moon's L. L. ... 70. 17. 42-00 30-35 3475 2. 48-47 54.11-54 50. 52-34 0-62 108. 0.57-91 107.46. 8-91 1464 10 Moon's U. 1 76. 29. 44-90 30-00 30-75 4. 7-93 55.21-55 53. 41-44 0-92 114. 11.30-87 114.26.39-07 14-69 21 Moon's L. L. ... 33. 37. 39-75 29-63 47-75 0. 38-45 59. 55-07 32. 57-68 + 0-G6 71.36.41-58 71.20. 18-40 14-79 22 Moon's L. L. ... 30. 0.39-50 29-68 47-25 0. 33-49 59.21-50 29.28-16 + 0-82 68. 3. 6-05 67. 46. 52-07 14-80 27 Moon's ILL. ... 34. 30. 36-00 30-14 34-75 0. 41-54 56. 13-23 31.38-64 + 0-60 72. 30. 59-90 72. 46. 22-27 14-80 28 Moon's V. L. ... 38. 58. 50-25 30-30 35-75 0. 49-04 55.42-51 34. 50-47 + 0-49 76.56. 9-71 77. 11.23-66 14-81 29 Moon's U. L. ... 43. 57. 37-00 30-19 35-75 0. 58-21 55. 15-29 38. 9-45 -1-0-27 81.51.46-43 82. 6.52-91 14-82 30 Moon's U. L. ... 49. 11.43-25 30-04 36-75 1. 9-39 54.51-55 41. 20-06 + 0-12 87. 2.53-10 87. 17. 53-08 1482 The The The usually observed when the bright 1 L. or 2 L. was passing the Meridian, nb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit, ng to the corrected Quadrant Rending the Adopted Co- Latitude 38. 31'. 20" '40. Seocentric N. P. D. of Lii *J. P. D. is formed by add (*) Observed at Transit of 2 L. Increase of N. P. D. during passage of Semidiameter = + 12"-56. (G)2 (44) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1760. Mar. 31 Moon's U. L. ... O ' // 54.28.20-75 29-86 o 40-75 / a 1.22-64 / // 54. 31-69 / it 44.11-66 n 0-11 Q 1 It 92. 16. 52-02 O / II 92.31.46-55 // 14-81 Apr. 2 Moon's L. L. ... 64. 50. 52-00 30-12 30-75 2. 9-09 54. 6-2-2 48. 48-90 0-46 102.35.32-13 102. 20. 44-58 14-81 3 Moon's L. L. ... 69. 5. 35-00 30-16 33-75 2. 37-46 54. 2-63 50.20-18 0-56 106.49. 12-12 106. 34. 25-55 14-81 4 Moon's L. L. ... 72.38.27-50 30-22 41-75 3. 8-86 54. 6-80 51.30-46 0-72 110.21.25-58 110. 6.37-87 14-80 20 Moon's U. L. ... 26. 44. 34-50 29-64 64-75 0.28-17 59. 4 50 26.21-79 + 0-94 64.50. 2-22 65. 6.11-54 14-71 22 Moon's U. L. ... 29. 40. 46-00 30-04 54-75 0. 32-94 57. 20-55 28. 10-78 + 0-81 67. 44. 29-37 68. 0. 10-19 14-68 24 Moon's U. L. ... 37. 23. 30-50 29-83 45-75 0. 44-67 55. 52-6-2 33. 43-58 + 0-54 75.21.52-53 75.37. 9-25 14-66 25 Moon's U. L. ... 42.14.47-00 29-88 43-75 0. 53-37 55. 18-31 36. 58-96 + 0-34 80. 10. 2-15 80.25. 9-46 14-64 26 Moon's U. L. ... 47.25. 5-25 29-90 4375 I. 3-9(5 54.50-39 40.11-15 -r-0-20 85.17.18-66 85. 32. 18-31 14-63 27 Moon's U. L. ... 52.41.42-50 30-05 39-75 1. 18-12 54. 28-64 43. 8-86 0-03 90.31.12-13 90. 46. 5-82 14-62 29 Moon's U. L. ... 62. 48. 45-00 29-83 38-75 1. 55-00 54. 2-43 47. 54-21 0-39 100.34. 5-80 100. 48. 52-31 14-59 30 Moon's U. L. ... 67.17.39-50 29-81 39-75 2. 20-48 53. 57-67 49. 37-34 0-54 105. 1.42-50 105.16.27-71 14-58 May 10 Moon's U. L. ... 56. 48. 30-90 30-01 39-75 1.30-80 59. 28-73 49. 34-78 021 94.31.47-11 94.48. 3-07 14-45 23 Moon's U. L. ... 45. 38. 59-50 29-74 53-75 0. 58-60 55.11-28 39. 16-03 -I-0-27 83.32. 2-74 83.47. 8-12 14-31 24 Moon's U. L. ... 50. 56. 10-50 29-70 53-75 1. 10-44 54. 40-60 42. 15-89 + 0-04 88. 46. 25-49 89. 1.22-46 14-31 25 Moon's U. L. ... 56. 10. 36-00 29-54 54-75 1. 24-62 54. 18-53 44. 56-27 0-19 93. 58. 24-56 94. 13. 15-49 14-29 27 Moon's U. L. ... 65. 51. 57-00 29-54 52-75 2. 6-66 53. 57-57 49. 4-95 0-54 103. 36. 18-57 103. 51. 3-75 14-28 28 Moon's U. L. ... 69.57. 19-00 29-78 50-75 2. 36-98 53. 5T34 50. 32-16 0-63 107. 40. 43-59 107. 55. 28-71 14-27 31 Moon's U. L. ... 76.56. 8-00 29-90 60-75 3. 59-75 54.31-27 52. 58-45 0-94 114.38.28-76 114.53.23-17 14-25 June 2 Moon's U. L. ... 75. 39. 48-25 29-78 61-75 3.37-15 55.22-46 53. 30-51 0-88 113.21. 14-41 1 13. 36. 22-85 14-24 3 Moon's U. L. ... 73 7.11-50 29-90 (JO-75 3. 4-95 55.57-13 53. 23-53 -0-77 110.48.12-55 111. 3.30-50 14-24 18 Moon's U. L. ... 38. 33. 33-00 29-48 62-75 0. 44-47 56. 47-83 35.11-65 -1-0-51 7<>. 30. 26-73 76. 45. 58-58 14-24 19 Moon's U. L. ... 43. 42. 22-00 29-45 60-75 0. 53-47 55.57-13 38.27-53 +0-27 81.36. 8-61 81.51.26-56 14-25 21 Moon's U. L. ... 54. 22. 50-25 29-70 58-75 1.18-95 54. 41-99 44. 16-91 0-11 92. 11.12-58 92.26. 9-93 14-26 22 Moon's U. L. ... 59.31.39-00 29-53 56-75 1. 35-87 54. 19-24 46.38-61 0-27 97. 17. 56-39 97. 32. 47-51 14-28 23 Moon's U. L. ... 64.20. 0-25 , 28-92 55-75 1.54-99 54. 6-06 48. 35-90 0-46 102. 4. 39-28 102. 19. 26-78 14-28 25 Moon's U. L. ... 72. 14. 55-00 29-48 53-75 2. 55-56 54. 5-83 51. 22-50 0-72 109. 57. 47-74 110. 12.35-18 14-30 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (45) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Kquatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P.O. of U. U or L. L., at Transit of 1 L. or 2 L. Geocentric ,N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1760. June 28 Moon's U. L.( 8 ).. Moon's L. L. ( b ) . . o / 77. 4. 3-50 77. 34. 1-60 29-72 52-75 / // 4. 4-74 4. 14-46 / // 54. 53-88 54. 53-88 / // 53.22-15 53. 28-79 // 0-94 0-94 o / n 114.46. 4-68 115.16. 6-63 O f II 115. 1. 529 115. 1. 6-02 II 14-33 29 Moon's L. L. ... 76.41.23-50 30-04 60-75 3. 56-45 55. 19-05 53.41-84 0-90 114.22.57-61 114. 7.50-10 14-34 30 July 18 19 Moon's U. L. ... Moon's U. L. ... 74. 0.11-00 52 22 58-00 30-11 30-00 29-96 59-75 76-75 79-75 3. 17-22 1. 11-58 1. 26-52 55. 47-69 55. 19-09 54. 46-23 53. 29-27 43. 37-73 46. 6-87 0-81 -0-02 -0-26 111.41.18-54 90.11.52-23 95. 28. 26-79 111.56.33-91 90.26.59-75 95. 43. 25-31 14-35 14-66 14-68 Moon's U. L. ... 57.41.47-00 22 Moon's U. L. ... 71. 5.11-50 29-97 (55-75 2. 42-98 54. 9-85 51. 5-51 0-68 108.48. 8-69 109. 2.57-26 14-76 23 Moonk U. L. ... 74. 8.52-25 30-08 51-25 3. 22-37 54. 17-86 52. 5-44 0-81 111.51.28-77 112. 6.19-51 14-78 24 Moon's U. L. ... 76. 12.21-50 30-07 54-75 3.51-24 54. 33-92 52. 51-24 0-90 113.54.41-00 114. 9.36-14 14-81 27 Moon's L. L. ('). . Moon's U. L. ( d ). . 75.23.22-50 74. 52. 35-75 30-00 54-75 3. 37-72 3. 30-23 55. 54-50 55. 54-57 53. 57-69 53. 49-72 0-85 0-85 113. 4.25-23 112.33.35-81 112.49. 8-00 112.48.53-06 14-88 29 Moon's U. L. ... 67.39. 11-50 29-95 58-75 2.18-10 56. 58-46 52. 31-82 0-54 105. 20. 17-64 105. 35. 52-41 14-93 Aug. 3 Moon's U. L. ... 39. 3.27-00 29-71 58-75 0. 45-99 59. 10-81 37. 4-35 + 0-48 76. 58. 29-52 77.14.40-57 15-06 4 Moon's U. L. ... 33. 57. 18-25 29-38 60-75 0. 37-60 59. 27-31 32. 59-25 + 0-63 71.56.17-63 72.12.33-20 15-09 19 Moon's U. L. ... 73. 13.45-00 29-68 65-75 3. 2-96 54.14-81 51.47-69 -0-77 110.56. 19-90 111. 11. 9-80 15-46 21 Moon's L. L. ... 77.31.40-50 29-62 65-75 4. 6-13 54. 47-37 53.21-93 0-94 115. 13.44-16 114.58.45-33 15-51 22 Moon's L. L. ... 77. 36. 45-00 29-63 61-75 4. 9-90 55. 16-72 53. 51-59 0-95 115. 18.22-76 115. 3.15-89 15-53 23 Moon's L. L. ... 70.21. 14-50 29-78 60-25 3. 48-89 55.52-01 54. 9-19 0-89 114. 2.13-71 113.46.57-16 15-55 27 Moon's U. L. ... 58. 52. 2-00 30-07 50-75 1.36-28 58. 19-62 49. 44-31 0-27 96.35.14-10 96.51. 11-11 15-65 28 Moon's U. L. ... 52.45.29-00 29-96 50-75 I. 16-32 58.45-89 46. 34-94 0-03 90.31.30-75 90. 47. 34-97 15-68 29 Moon's U. L. ... 46. 31. 29-00 29-92 50-75 1. 1-15 59. 4-36 42. 39-48 + 0-25 84.21. 11-32 84. 37. 20-60 15-69 31 Moon's U. L. ... 35. 8. 46-00 30-02 50-75 0. 40-98 59. 19-88 33.56-13 + 0-57 73. 6.51-82 73.23. 5-35 15-74 Sep. 1 Moon's U. L. ... 30. 46. 9-50 30-23 48-25 0. 35-09 59. 18-49 30. 7-25 + 0-76 68.47.58-50 69. 4.11-66 15-76 17 Moon's U. L. ... 76. 51. 50-50 29-46 70-75 3. 50-22 54.26-15 52. 52-51 0-93 114.34. 7-68 114.49. 0-69 16-00 20 Moon's L. L. ... 75. 14. 54-25 29-66 55-75 3. 32-72 56. 6-59 54. 7-22 0-84 112. 55. 39-31 112.40. 18-76 16-02 22 Moon's L. L. ... 67.27.23-75 29-24 53-75 2. 14-91 57.43-11 53. 8-62 0-54 105. 7.49-90 104.52. 2-90 16-03 27 Moon's U. L. ... 36. 43. 48-25 29-36 57-75 0.41-88 60. 2-00 35. 40-87 + 0-54 74.40. 10-20 74. 56. 35-28 16-07 29 Moon's U. L. ... 28. 15.58-00 29-60 53-75 0. 30-69 59. 35-79 28. 0-07 + 0-88 66. 19. 49-90 66. 36. 7-79 16-06 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (") Observed at Transit of 1 L. (rough limb). Correction applied for defective illumination, 0"'87. Increase of N. P. D. during passage of Semidiameter = s ' 56. ( b ) Observed at Transit of 2 L. (") Observed at Transit of 1 L. Correction applied for defective illumination, + 3*- 15. ( d ) Observed at Transit of 2 L. (46) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. TabulM Obliquity of Ecliptic. 3. 28'. 1760. Oct. 1 Moon's L. L. ... O t If 26. 49. 26-50 29-95 54-75 / 0. 29- 14 / ff 58.41-85 / u 26.16-21 II + 0-97 o / // 64. 55. 0-80 O / " 64. 38. 57-69 II 16-06 3 Moon's L. L. ... 31.31.46-50 30-07 53-75 0. 35-56 57. 38-80 29. 55-96 -f-0-75 69. 33. 47-25 69.18. 1-43 16-07 18 Moon's L. L. ... 73. 47. 17-25 30-01 56-75 3. 15-09 56. 3-76 53.41-38 -0-77 111.28. 10-69 111.12.50-81 16-00 20 Moon's L. L. ... 64.56. 0-25 29-73 43-75 2. 4-45 57. 52-92 62. 15-62 0-46 102.37. 9-02 102.21.19-33 15-98 22 Moon's L. L. ... 52. 47. 42-50 28-82 45-75 1. 14-27 59. 40-94 47. 20-09 0-01 90. 32. 57-07 90. 16. 37-77 15-96 24 Moon's L. L. ... 39. 52. 59-25 29-09 36-75 0. 48-51 60. 46-52 38. 45-04 +0-47 77. 46. 23-59 77. 29. 46-31 15-93 25 Moon's U. L. ... 33. 42. 45-00 29-37 35-75 0. 39-20 60. 53-33 33.34-15 + 0-63 71.41. 11-08 71.57.50-23 15-93 Nov. 2 Moon's L. L. ... 44. 19. 34-25 29-44 42-75 0. 56-66 56. 1-40 38. 56-82 + 0-27 82. 12. 54-76 81. 57. 35-63 15-81 Dec. 13 Moon's L. L. ... 69. 3. 17-80 29-40 39-75 2.31-26 55. 44-59 51.54-33 0-56 106. 45. 14-57 106.30. 0-05 15-44 14 Moon's L. L. ... 64. 12. 15-00 29-84 33-75 2. 3-48 56. 28 52 50. 40-82 0-43 101.54.57-63 101.39.31-07 15-44 17 Moon's L. L. ... 46. 25. 28-00 29-90 38-75 1. 2-42 59. 12 27 42.41-05 + 0-27 84. 15. 10-04 83. 58. 58-59 15-45 22 Moon's U. L. ... 25.51.50-00 29'82 40-75 0. 28-63 61. 10-79 26. 27-71 + 0-98 63. 57. 12-30 64. 13. 56-23 15-48 26 Moon's L. L. ... 40.27.45-60 30-00 3775 0. 50-96 57.46-28 37. 16-94 + 0-45 78. 22. 40-37 78. 6.52-50 15-51 27 Moon's L. L. ... 46. 5.38-00 29-57 37-75 1. 1-16 56.48-12 40. 43-50 + 0-27 83. 57. 16-33 83.41.44-40 15-52 29 1761. .Ian. 18 Moon's L. L. ... Moon's U. L. ... 67.23. 2-75 26. 0.45-00 29-62 30-47 30-75 30-75 1. 33-37 0. 30-07 55. 13-39 60.51-61 46. 20-24 26. 27-94 0-22 + 0-98 95. 9. 36-Ot 64. 6. 8-51 94.54.30-11 64.22.47-18 1556 15-91 23 Moon's L. L. ... 43. 34. 21-00 30-43 33-75 0. 58-13 58. 0-08 39. 46-36 + 0-31 81.26.53-48 81.11. 1-82 16-04 24 Moon's L. L. ... 49. 28. 53-00 30-37 28-75 1. 12-07 57. 3-29 43. 10-64 + 0-13 87. 18. 14-96 87. 2.38-87 16-07 25 Moon's L. L. ... 55. 18. 50-00 30-40 32-75 1.2826 56. 9-99 46. 0-07 0-13 93. 5.38-46 92. 50. 16-98 10-10 Feb. 16 Moon's U. L. ... 27. 2. 17-50 29-59 41-75 0. 29-84 59. 56-37 27. 1-48 + 0-93 65. 7. 7-19 65. 23. 30-73 16-65 17 Moon's U. L. ... 30. 9.29-00 29-90 37-75 0.34-61 59.41-24 29. 45-87 + 0-79 68. 11.38-93 68. 27. 58-32 16-68 18 Moon's U. L. (). . 34. 41. 57-00 29-90 35-75 0.41-42 59. 13-60 33. 29-79 + 0-59 72. 40. 29-62 72.56.41-44 16-70 Mar. 14 Moon's U. L. ... 25. 28. 47-00 29-66 42-75 0. 27-87 59. 16-10 25. 16-61 + 0-!>9 63.35. 19-65 63.51.32-15 17-12 16 Moon's U. L. ... 28. 35. 46-00 29-80 3975 0. 32-23 59. 1-55 28. 1-93 + 0-86 66. 39. 37-56 66. 55. 46-09 17-14 21 Moon's L. L. ... 56. 3.42-00 30-09 42-75 1.27-97 56. 35-78 46. 46-23 0-16 93. 49. 43-98 93. 34. 15-43 17-18 ! Apr. 10 Moon's U. L. ... 25. 26. 29-00 29-50 48-75 0.27-34 59. 30-71 25. 20-67 + 0-99 63. 32. 57-06 63. 49. 13-56 17-16 18 Moon's U. L. ( b ).. 58. 59. 52-00 29-63 49-75 1.35-56 55. 57-22 47. 46-84 96.45. 1-12 97. 0. 19-H 17-08 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1*. 1). of Limb and of Ceuter in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. I'. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38". 31'. 20" '40. (*) Observed at Transit of 1 L. Increase of N.P.D. during passage of Semidiameter = + 13"-89. ( b ) Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = +14"' 61. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center;'' which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (47) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Eqnatore.il Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. 1). of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1761. Apr. 20 Moon's L. L. ... o / it 69. 46. 48-00 in. 29-43 46-75 / // 2. 34-97 / // 55. 0-39 / // 51. 27-95 // 0-60 o / // 107. 29. 14-82 o / // 107. 14. 12-43 // 17-06 27 Moon's U. L .... 72. 27. 50-00 29-85 38-75 3. 5-75 55. 10-76 52.28-01 0-73 110. 9.47-41 110.24.62-64 16-96 May 13 Moon's U. L. ... 45. 9.34-00 29-85 58-75 0. 57-24 56. 57-22 40. 10-83 + 0-27 83. 1.41-08 83. 17. 15-51 16-76 14 Moon's U. L. ... 51. 7. 13 00 30-20 51-75 1. 12-39 56.21-81 43. 40-99 + 0-04 88.56. 4-84 89. 11.29-56 I6'7{j 15 Moon's U. L. . . / 57. 0. 0-00 30-25 50-72 1.30-13 55. 49-58 46. 38-22 0-23 94. 46. 12-08 95. 1.27-97 16-74 20 Moon's L. L. ... 77. 58. 40-00 29-12 46-75 4. 20-94 54. 7-49 52. 48-59 0-97 115.41.31 78 115. 26. 43-88 1(5-66 June 9 Moon's U. L. ... 43. 19.43-00 29-82 60-75 0. 53-43 57.35-10 39. 18-35 +0-29 81.12.3877 81.28.2358 16-54 13 Moon's U. L. ... 66. 5. 8-00 29-59 55-75 2. 7-39 54. 57 67 50. 4-79 0-54 103.48.30-46 104. 3.32-11 16-51 14 Moon's U. L. ... 70.35.44-00 29-70 55-75 2. 40-40 54. 33-86 51. 18-79 0-65 108. 18. 25-36 108. 33. 20-48 16-54 21 Moon's U. L. ... 71.24. 5-50 30-00 54-75 2. 49-79 54. 37-20 51. 37-07 0-69 109. 6.37-93 109.21.33-97 16-57 22 Moon's U. L. ... 67. 3. 8-00 30-05 59-75 2. 14-31 55. 5-51 50. 34-24 0-54 104.46. 7-93 105. 1.11-73 16-58 24 Moon's U. L. ... 56.20. 3-00 2976 66-75 1. 23-72 56. 26 87 46. 47-64 0-19 94. 5.59-29 94.21.25-39 16-59 July 8 Moon's TJ. L. ... 53. 22. 33-00 30-00 66-75 1. 15-66 56. 51-98 45. 26-78 0-06 91. 9.42-22 91. 25. 15-21 16-75 9 Moon's TJ. L. ... 59. 13. 43-00 29-93 68-75 I. 33-74 56. 2-83 47. 58-58 0-27 96. 58. 38-29 97. 13. 57-81 16-76 10 Moon's U. L. ... 64. 37. 2-00 30-00 70-75 1.57-21 55. 21-42 49. 50-73 -0-47 102.20.28-41 102. 35. 36-57 16-78 13 Moon's U. L. ... 76. 11.24-50 29-85 62-75 3. 45-53 54. 8-68 52. 26-56 0-90 113.54. 2-97 114. 8.51-19 16-85 15 Moon's L. L. ( a ) . . 78. 57. 46-60 29-98 54-75 4.47-18 53. 58-42 52. 51-04 -1-01 116.41. 2-13 1 16. 26. 16 72 16-88 16 Moon's L. L. ( b ) . . 78. 11. 10-00 30-00 62-75 4. 24-48 54. 2-66 52. 46-35 0-98 115.54. 7-55 115.39.20-97 16-90 20 Moon's U. L. ... 63.29.41-00 29-95 51-75 1.55-74 55.15-75 49. 17-10 043 101. 13.3961 101.28.46-22 16-99 22 Moon's U. L. ... 52. 12. 39-75 29-95 57-75 1. 13-74 56.27-16 44. 25-21 0-01 90. 0. 48 07 90. 16. 14-86 17-03 Aug. 7 Moon's U. L. ... 67.58. 7-00 29-72 65-75 2.17-24 55.25-21 51. 12-77 0-54 105. 40. 31-33 105. 55. 40-53 17-39 8 Moon's U. L. ... 72. 13.46-00 29-73 65-75 2. 52-59 54.50-19 52. 4-28 0-72 109.55.53-99 110.10.53-59 17-43 11 Moon's L. L. ... 79. 3.27-00 30-00 G2-75 4. 45-00 54 4-15 52. 57-67 1-01 116.46.33-72 116.31.4674 17-49 12 Moon's L. L. ... 78. 40. 16-00 29-96 61-75 4. 35-74 54. 6-42 52. 55-62 0-99 116.23. 15-53 116. 8.27-93 17-52 17 Moon's U. L. ... 59. 37. 44-00 30-03 59-75 1. 37-29 55.41-25 47. 52-04 0-27 97. 22. 49-38 97.38. 2-98 17-65 21 Moon's U. L. ... 36.18. 7-00 30-03 56-75 0. 42-26 57. 57 33 34. 5-88 + 0-54 74.16. 4-32 74. 31. 55-22 17-74 Sep. 5 Moon's U. L. ... 74. 37. 18-00 29-54 63-75 3. 19-80 54. 54-53 52. 47-99 0-83 112. 19. 9-38 112.34.10-17 18-04 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" MO. (*) The observed Z, D. decreased 2 Verniers. (") Observed at Transit of 1 L. Increase of N.P. D. during passage of Semidiameter = 3'- 69. (48) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P. D. of U. L. or L. L., at Transit of 1 L.or2 L. Geocentric N. P.O. of Center at Transit ofl L. or2L. Tabular bliquity of Ecliptic. 2:^.28-. 1761. Sep. 8 Moon's L. L. (') . . O ' '/ 79. 9.51-70 in. 29-73 67-75 4. 42-20 54. 10-82 53. 5-36 II 1-00 Q I II 16. 52. 47-94 o / it 116.37.59-13 18-08 10 Moon's L. L. ... 75. 27. 46-00 29-93 58-75 3. 36-53 54. 31-52 52. 38-66 0-85 13.10. 3-42 112.55. 8-94 18-10 15 Moon's U. L. ... 49. 40. 19-00 29-68 47-75 1. 8-15 56. 51-30 43. 8-75 + 0-08 87. 29. 38-88 87.45.11-68 18-17 19 Moon's U. L. ... 28.23. 1-00 29-66 41-75 0. 31-67 58. 40-71 27.40-56 + 0-87 66.27.13-38 66. 43. 16-18 18-20 Oct. 5 Moon's U. L. ... 79. 0.56-00 29-86 45-75 4. 52-86 54. 16-65 53. 9-23 1-03 116.43.59-00 116. 58. 49'41 18-23 6 Moon's L. L. ... 78. 46. 46-00 29-90 47-75 4. 46-04 54.14-19 53. 4-45 1-00 116.29.46-99 116. 14. 57-26 18-23 12 Moon's L. L. ... 52. 42. 10-00 29-22 51-75 1.14-13 57. 0-99 45. 9-90 0-01 90. 29. 34-62 90. 13.59-16 18-19 15 Moon's U. L. ... 34. 8. 4-00 28-84 50-75 0. 37-92 58. 40-43 32. 42-38 + 0-62 72. 7. 20-56 72. 23. 23-28 18-18 18 Moon's U. L. ... 24. 38. 24-00 29-28 42-75 0. 26-49 59. 17-26 24. 29-86 + 1-03 62. 45. 42 06 63. 1.54-88 18-15 19 Moon's L. L. ... 25. 36. 37-75 29-65 38-75 0. 28-26 59. 15-80 25. 23-85 + 1-01 63.43. 3-57 63.26.51-15 18-13 20 Moon's L. L. ... 27. 55. 33-00 30-04 36-75 0.31-79 59. 9-39 27.29-16 + 0-91 65. 59. 56-94 65. 43. 46"28 18-13 Nov. 6 Moon's L. L. ... 66. 51. 33 00 29-59 35-75 2. 17-72 55. 12 64 50. 36-63 -0-54 104. 34. 33-95 104.19.28-19 17-89 11 Moon's U. L. ("). . Moon's L. L. ( c ). . 36.36.17-00 37. 8 48-20 29-19 40-75 0. 42-92 0. 43-77 59. 0-34 59. 0-38 34. 58-02 35. 24-93 + 0-54 74.33.21-32 75. 5.27-44 74. 49. 29-50 74. 49. 19-25 17-82 14 Moon's U. L. ... 24. 56. 20-00 28-70 37-75 0. 26-59 60. 4-89 25. 6-63 + 1-02 03. 3. 1-38 63. 19. 27-25 17-77 15 Moon's L. L. ... 25.12.37-00 28-70 37-75 0. 26-92 59. 59-31 25. 19-78 + 1-03 63.19. 5-57 63. 2.41-23 17-76 17 Moon's L. L. ... 30.29. 1-00 29-63 28-75 0. 35-42 59. 17'91 29.51-75 -f 0-80 68.31. 5-87 68. 14.52-87 17-73 18 Moon's L. L. ... 35. 19. 29-00 30-06 24-75 0. 43-62 58. 48-33 33. 47-20 + 0-58 73.17.46-40 73. 1.41-51 17-71 21 Moon's L. L. ... 53. 29. 54-00 29-53 47-75 1.17-74 57. 12-42 45.47-67 0-05 91. 16. 44-42 91. 1. 5-83 17-68 Dec. 3 Moon's L. L. ... 68. 49. 23-30 30-12 33-75 2. 35-09 54. 34-28 50.44-10 0-55 106. 32. 34-14 106. 17.38-90 17-55 4 Moon's L. L. ... 63. 52. 3-00 30-22 29-75 2. 4-27 55. 5-00 49. 17-35 0-42 101.36. 990 101.21. 6-24 17-54 5 Moon's L. L. ... 58.20. 9-50 3003 28-75 1. 38-62 55. 45-53 47. 16-73 0-27 96. 5.51-52 95. 50. 36-74 1753 8 Moon's L. L. ... 40. 9. 18-00 29-50 38-75 0. 49-46 58. 27-82 37. 29-35 + 0-46 78. 3.58-97 77.47.59-71 17-52 10 Moon's L. L. ... 29. 43. 44-00 29-52 39-75 0. 33-45 60. 9-33 29. 36-50 + 0-83 67.46. 2-18 67. 29. 35-09 17-52 20 Moon's L. L. ... 63.42. 0-00 29-83 28-75 2. 2-04 56. 11-71 50. 12-65 0-41 101.25. 9-38 101. 9.47-43 17-53 31 1762. Jan. 2 Moon's L. L. Moon's L. L. 65. 36. 29-00 64.40. 18-00 30-05 29-82 34-75 33-75 2.12-18 1.2437 54. 28-93 55.33-41 49. 27-65 45. 8-60 0-50 0-09 103. 20. 33-43 92.27.54-08 103. 5.39-64 92. 12. 4-2 64 17-62 17-65 5 Moon's L. L. 37. 5. 3-00 29-78 37-75 0. 44-84 58. 13-24 31.53-62 + 0-54 75. 2. 15-16 74. 46. 19-90 17-69 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P D. is formed by adding to the corrected (Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" -40. (") The observed Z.D. increased 2 parts. ( b ) Observed at Transit of 1 L. Correction applied for defective illumination, 1"52. ( c ) Observed at Transit of Center. Increase of N. P. D. during passage of Sem'diameter = 15*' 76. This is not applied to form the numbers in the columns " Geocenti ic N. P. D. of Limb," " Geocentric N. P. D. of Center;" whch, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( b ) The Quadrant seems to hive been out of adjustment when these observations were made : the Zenith Distances have each been increased 5 Verniers, as this quantity gives a tolerably good result for Venus on this day. See Reduction of Observations of Planets, page 548. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (49) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1762. Feb. 3 Moon's L. L. ... o / a 29. 23. 52-00 30'21 o 32-75 / a 0. 34-27 / o 53. 45-83 / // 28. 37-70 // + 0-85 o / // 67.27. 9-82 o / // 67.11. 5-61 // 18-31 5 Moon's U. L. ... 24. 27. 53-00 30-37 33-75 0.27-77 60. 28-97 24. 49-44 + 1-02 62. 34. 52-75 62. 51. 25-22 18-30 7 Moon's U. L. ... 28. 18.45-00 29-94 28-75 0. 32-76 61.20-31 28.51-83 + 0-88 66.21.47-21 66. 38. 33-76 18-41 10 Moon's L. L. ... 46.29. 4-00 29-30 31 75 1. 2-21 60. 7-16 43. 23-22 -t-0-27 84. 18. 3-66 84. 1.37-16 18-49 Mar. 8 Moon's U. L. ... 35. 50. 19-00 29-16 36-75 0. 42-04 60. 44-61 35. 20-48 + 0-54 73.47. 1-50 74. 3.38-26 18-99 9 Moon's U. L. ... 42. 18. 34-00 29-21 28-75 0. 53-96 60. 30-22 40. 30-52 -r-0-34 80. 10. 18-18 80. 26. 50-99 19-01 Apr. 1 Moon's U. L. ... 24. 3.41-00 29-17 41-75 0. 25-74 58. 53-45 23. 47-54 + 1-06 62.11.40-66 62. 27. 46-95 19-10 2 Moou's U. L. ... 25. 19. 53-00 29-72 39-75 0. 27-92 59. 18-49 25. 9-27 + 1-00 63. 26. 33-05 63.42. 46-21 19-10 4 Moon's U. L. ... 33. 14. 27-00 29-90 46-75 0. 38 32 59. 50-50 32. 34-84 + 0-65 71.13.51-53 71.30.13-46 19-08 Moon's U. L. ... 39. 10. 53-00 30-00 41-75 0. 48-29 59. 52-22 37. 36-35 + 0-48 77. 5.25-82 77.21.48-22 19-08 May 6 Moon's U. L. ... 63. 4. 7-00 29-67 43-75 1. 5 1-44 57. 57-62 51.29-78 0-41 100.45.51-65 101. 1.42-63 18-69 7 Moon's U. L.(').. Moon's L. L. ( b ) . . 68. 47. 14-00 69. 19. 4-00 29-74 42-75 2. 29-99 2.34-14 57. 24-02 57. 23-96 53. 20-86 53. 32-51 0-57 0-57 106. 27. 42-91 106. 59. 25-46 106. 43. 24-08 106.43.43-71 18-68 13 Moon's U. L. ... 70. 34. 28-00 29-87 40-75 3. 59-97 54. 21-06 52. 43-79 0-92 114.17. 3-66 114.31.55-28 18-58 28 Moon's U. L. ( c ). 30. 0.43-50 30-00 72-00 0. 32-34 59. 34-59 29.40-18 +0-79 68. 8.56-85 68. 25. 14 50 18-40 30 Moon's U. L. ... 41.21.51-00 30-24 60-00 0. 50-66 58. 58-99 38. 45-87 + 0-38 79. 15. 16-57 79. 31. 24-38 18-38 31 Moon's U. L. ... 47. 53. 42-00 30-10 68-00 1. 2-33 58. 34-79 43. 15-30 + 0-18 85. 42. 49-61 8-3. 58. 50-79 18-37 June 1 Moon's U. L. ... 54.31.27-00 30-07 69-00 1. 18-73 58. 8-15 47. 8-90 0-11 92.16.57-12 92. 32. 50-99 18-36 8 Moon's L. L. ... 79.43. 0-50 29-86 55-00 5. 6-04 54. 44-68 53. 44-45 -1-04 117.25.41-45 117.10.43-36 18-31 14 Moon's U. L. ... 55. 8. 17-00 29-84 64-00 1. 20-72 55. 1-23 44. 57-74 0-14 92.56. 0-24 93.11. 2-87 18-31 29 Moon's U. L. ... 59.11. 8-00 30-01 63-00 1.34-91 57. 49-78 49. 28-80 0-27 96. 54. 34-24 97. 10. 23-07 18-36 30 Moon's U. L. ... 05. 1 1. 46-00 29-97 66-00 2. 1-33 57.11-10 51. 44-28 -0-50 102.53.22-95 103. 9. 1-18 18-38 July 2 Moon's U. L. ... 74. 40. 1-00 29-88 58-00 3.25-11 56. 1-67 53. 53-29 0-83 112.20.52-39 112.36. 11-59 18-41 3 Moon's U. L. ... 77. 40. 50-00 29-70 57-00 4. 14-33 55. 31-69 64. 6-79 0-97 1 15. 22. 16-97 115. 37. 27-95 18-42 5 Moon's L. L. ( d ) . . Moon's U.L.C).. 79.57.31-00 79. 27. 44-00 29-92 54-00 5. 14-37 5. 0-17 54. 42-61 54.42-61 53. 44-90 53. 39-49 1-05 1-05 117.40.19-82 117. 10.19-85 117. 25. 22-30 117.25.17-37 18-44 9 Moon's U. L. ... 67. 39. 24-00 30-10 63-00 2. 17-63 54. 4-25 49.51-26 0-54 105.23. 10-23 105. 37. 57-24 18-49 11 Moon's U.L. ... 57. 7. 14-00 29-99 61-00 1. 27-92 54. 29-45 45.35-01 0-23 94. 54. 27-08 95. 9.21-00 18-53 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N . P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. ( a ) Observed at Transit of 1 L. Correction applied for defective illumination, 0*-05. (") Observed at Transit of 2 L. ( c ) Observed Z. D. decreased 2 Verniers. ( d ) Observed at Transit of 1 L. (') Observed at Transit of 2 L. Correction applied for defective illumination, 4*- 18. GREENWICH LCNAK REDUCTIONS. (H) (50) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Correc- Geocentric Geocentric Tabular Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. tion for Curva- ture of Path. N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. N. P. D. of Center at Transit of 1 L. or 2 L. Obliquity of Ecliptic. i;?. 28'. 1762. 1 If in. 1 U , * / a " ' II / " " July 12 Moon's U. L. ... 51.22. 1-00 29-95 62-00 1 . 10-95 54. 56-41 42. 43-69 + 0-02 89. 11.48-68 89. 26. 49 99 18-55 15 Moon's U. L. ("). . 34.21. 15-30 29-90 63-00 0. 38-67 57. 12-07 3-2. 4-02 + 0-61 72.21. 10-96 72. 36. 49-46 18-60 Aug. 30 Moon's L. L, ... 78. 3. 33-00 49-91 54-50 4. 25-49 54. 14-35 52. 56-27 0-97 115.46.21-65 115.31.31-88 19-54 31 Moon's L. L. ... 75. 3.50-00 29-86 50-60 3. 33-79 54. 3-63 52. 5-94 0-83 112.46.37-42 112.31.50-58 19-56 Sep. 1 Moon's L. L. ... 71. 4. 57-00 30-03 50-50 2. 48-40 53. 59-45 50. 55-79 0-65 108.48. 9-36 108.33.23-67 19-58 5 Moon's U. L. ... 49. 0. 59'00 29-60 55-50 1. 5-37 54. 40-24 41. 4-78 + 0-13 86.52.20-12 87. 7. 17-00 19-64 7 Moon's U. L. ... 37.38.21-00 30-04 50-50 0. 44-94 55. 34-25 33. 43-92 +0-54 75. 36. 42-96 75.51.54-61 19-67 11 Moon's U. L. ... 23.46. 15-00 29-81 52-50 0. 25-38 58. 3196 23. 22-57 -t-1-08 61.54.39-29 62. 10. 39-69 19-71 12 Moon's L. L. ... 24.43.17-00 29-95 51-50 0. 26-71 59. 22-77 24. 36-81 + 1-06 62. 60. 28-36 62.34.14-03 19-72 24 Moon's U. L. ... 79. 48. 48-00 29-20 55-50 5. 1-63 55. 39-46 54. 38-97 1-07 117.30.29-99 117.45.43-11 19-79 25 Moon's L. L. ... 80. 22. 10-00 29-68 54-00 5. 24-47 55. 0-85 54. 6-92 1-08 118. 4.46-87 117. 49. 44-35 19-80 28 Moon's L. L. ... 72. 38. 57-00 29-93 63-50 2. 58-93 54. 5-60 51.29-41 -0-72 110.21.46-20 110. 6.58-82 19-80 Oct. 4 Moon's U. L. ... 39. 16. 4-00 29-78 40-50 0.48-21 55. 30-36 34. 55-75 + 0-47 77. 13. 17-33 77. 28. 27-94 19-78 1 23 Moon's L. L. ... 79.47. 6-00 29-15 51-50 5. 2-83 55. 6-36 54. 6-43 1-05 117.29. 2 1-75 117.14. 17-72 19-60 26 Moon's L. L. ... 69. 58. 32-00 29-17 40-50 2. 37-24 54. 10-76 60. 45-36 0-61 107.41.43-67 107. 26. 54-87 19-56 27 Moon's L. L. ... 65. 0.46-00 29-63 33-50 2. 7-19 54. 13-38 48. 59-33 0-47 102. 45. 13-79 102. 30. 24-28 19-54 28 Moon's L. L. ... 59. 32. 32-00 29-70 33-50 1.41-23 54.25-11 46.44-31 0-27 97. 18. 49-05 97. 3. 56-33 19-52 31 Moon's L. L. ... 41. 52. 42-00 30-08 38-50 0. 53-62 55. 38-01 36. 56-33 + 0-38 79.48. 0-07 79. 32. 47-36 19-50 Nov. 1 Moon's L. L. (").. 36. 17.58-00 30-03 35-50 0.44-15 56. 9-05 33. 2-17 +0-54 74. 17. 0-99 74. 1. 39-77 19-46 Moon's ILL. ( r ).. 35.46.41-00 0.43-31 56. 9-08 32. 37-28 73.46. 7-43 74. 1.28-66 3 Moon's U. L. ... 26.53. 8-80 29-99 39-50 0. 30-19 57. 11-26 25. 38-92 +0-93 64.59.21-40 65. 14. 59-67 19-42 21 Moon's L. L. ... 75.42. 11-00 30-15 32-50 3. 54-40 54. 38-40 52.48-81 0-86 113. 24. 36-23 113. 9.39-87 19-13 23 Moon's L. L. ... 67. 3.30-00 29-77 33-50 2. 20-54 54. 13 25 49. 46-66 0-54 104. 47. 23-74 104. 32. 34-26 19-10 25 Moon's L. L. ... 56. 8.58-90 29-32 38-50 1.26-77 54. 32-07 45. 6-80 0-17 93.56.39-10 93.41.44-46 19-06 Dec. 20 Moon's L. L. ... 68.55. 8-00 29-89 31-75 2. 35-33 54. 16-33 50. 29-39 0-55 106. 38. 33-79 106.23.43-47 18-91 22 Moon's L. L. ... 58.22. 1-00 29-87 41-50 1. 35-60 54. 14-65 46. 0-76 -0-27 96. 8.55-97 95.54. 6-11 18-92 23 Moon's L. L. ... 52.38. 5-00 30-25 39-00 1. 18-60 54. 30-23 43. 8-17 o-oo 90. 27. 35-83 90. 12. 41-70 18-92 25 Moon's L. L. ... 41. 4.13-00 30-15 31-00 0. 53-07 55. 32-76 36. 17-59 + 0-42 79. 0. 9-30 78. 44. 58-04 18-93 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. 1'. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 33. 31'. 20" -40. (") Observed Z. D. increased 12 Verniers. (") Observed at Transit of 1 L. Correction applied for defective illumination, + 0"'07. ( c ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 13''- 94. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (51) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23'. 28'. 1762. i Dec. 26 Moon's L. L. ... o / // 35. 33. 9-60 in. 30-12 o 29-50 / // 0. 43-77 i a 56. 17-09 ' // 32. 35-24 II + 0-57 O / // 73.37.39-10 O / /' 73.22.15-67 18-93 27 1763. Jan. 2 Moon's L. L. ... Moon's L. L. ... 30. 49. 13-00 34.49. 11-60 30-21 29-89 27-00 25-00 0. 36-73 0. 42-55 57. 6-59 60. 8-88 29. 2-96 34. 7-43 + 0-79 -I-0-61 68.52. 7-96 72.47. 7-73 68. 36. 30-96 72. 30. 40-77 18-94 19-02 23 Moon's L. L. ... 32. 43. 15-00 29-78 31-25 0. 38-64 56. 10-18 30. 9-32 -r-0-70 70.45. 5-42 70. 29. 43-89 19-35 27 Moon's U. L. ... 24. 14. 30-00 29-86 29-00 0. 27-29 59.53-10 24.21-97 + 1-06 62.21.56-78 62. 38. 19-42 19-44 Feb. 1 3 20 Moon's L. L. ... Moon's L L. ... 52. 24. 27-20 65. 54. 55-00 29-17 29-37 29-39 41-00 38-50 49-00 1. 14-86 2. 10-00 0. 32-86 60. 14-71 58. 45-35 55. 57-55 47. 32-01 53. 28-20 27. 39-74 0-00 0-51 + 0-83 90. 9.30-45 103. 34. 56-69 67. 56. 26-75 89. 53. 1-89 103. 18. 52-62 67.41. 8-68 19-55 19-60 19-96 Moon's L. L. ... 29. 52. 12-40 23 Moon's U. L. ... 23. 28. 36-80 29-70 42-50 0. 25-45 58. 47-55 23. 12-24 + 1-08 61.37. 11-49 61.53. 16-16 20-00 25 Moon's U. L. . . . 28. 50. 39-00 29-41 44-50 0. 31-82 60. 36-32 29. 0-74 + 0-86 66.53.31-34 67. 10. 5-83 20-03 Mar. 4 Moon's L. L. ... 74. 42. 27-00 30-23 32-00 3. 39-75 58. 16-77 56. 4-21 0-81 112.21.22-13 112. 5.25-90 20-16 5 Moon's L. L. ... 78. 20. 43-00 30-08 33-50 4. 45-90 57. 19-46 56. 0-53 -0-98 116. 0.47-79 115.45. 7-27 20-17 G Moon's L. L. ... 80. 22. 47-00 29-95 33-00 5. 42-94 56. 27-19 55. 32-00 1-07 118. 4. 17-27 117.48.51-08 20-18 22 Moon's U. L. ... 23. 12. 57-00 29-78 43-50 0. 25-15 57. 28-92 22. 26-78 + 1-10 61.22. 16-87 61. 37. 59-98 20-28 24 Moon's U. L. ... 26. 44. 33-00 29-89 36-50 0. 30-09 59. 19-01 26. 28-27 + 0-94 64.49.56-16 65. 6. 9-46 20-28 26 Moon's U. L. ... 37. 12. 35-00 30-13 34-50 0. 45-88 60. 49-90 36. 33-82 + 0-54 75. 8. 8-00 75.24.46-21 20-28 Apr. 21 Moon's U. L. ... 29. 16. 5-00 29-87 50-50 0. 32-49 58. 54-06 28. 34-63 + 0-83 67. 19. 24-09 67. 35. 30-55 20-04 22 23 25 Moon's U. L. ... Moon's U.L. ... 34.29.59-00 40.52. 23-00 29-81 30-10 30-18 54-50 43-50 39-25 0. 39-43 0.51-26 1. 26-62 59. 35-21 60. 10-17 60. 43-25 33.31-75 39. 9-32 49. 45-76 + 0-60 + 0-40 0-15 72. 28. 27-68 78. 45. 25-74 93. 5. 17-11 72. 44. 45-42 79. 1.53-06 93. 21. 53-49 20-02 20-00 19-96 Moon's U. L. ... 55. 22. 16-00 May 4 Moon's U. L. ... 71.50.34-00 29-39 40-50 2. 55-71 54,42-73 51. 50 34 0-71 109. 32. 59-06 109. 47. 56-62 19-80 5 Moon's U. L. ... 67. 4.54-00 29-57 46-50 2. 16-00 54. 19-73 49. 52-88 0-54 104. 48. 36-98 105. 3.28-23 19-78 17 Moon's U. L. ... 24. 49. 42-00 30-12 60-50 0. 26-51 57. 49-52 24. 3-98 + 1-02 62. 57. 25-95 63. 13. 14-71 19-59 18 Moon's U. L. ... 28. 2.53-00 30-00 60-50 0. 30-40 58. 19-88 27. 12-65 + 0-89 66. 7.32-04 66.23.29-13 19-56 20 Moon's U. L. ... 38.39. 6-60 29-75 53-50 0. 45-88 59. 14-12 36.46-81 + 0-50 76. 34. 26-57 76. 50. 38-52 19-53 22 Moon's U. L. ... 52. 24. 54-00 30'08 54-50 1. 15-10 59. 49-24 47. 12-07 0-02 90. 10. 17-41 90. 26. 38-9!) 19-51 23 Moon's U. L. ... 59. 30. 33-00 30-15 47-50 1.39-67 59. 53-80 51. 25-34 0-27 97.12. 7-46 97. 28. 30-30 19-49 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N.P. D. is formed bv adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (H) 2 (52) E EDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, And Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 17(53. May 29 Moon's L. L. ... o / // 80. 3. 2-00 in. 29-78 o 42-50 / a 5. 23-49 / " 56. 43-07 / // 55. 44-22 it -1-06 O / li 117.44. 0-61 o / // 117.28.30-07 II 19-41 June 3 Moon's U. L. ... 58. 14. 26-00 29-86 56-50 1 . 32-22 54. 13-54 45. 55-82 0-27 96. 1.22-53 96.16. 12-09 19-36 18 Moon's U. L. ... 50 20.34-00 29-73 71-00 1. 6-70 59. 19-59 45.28-10 + 0-08 88. 7.33-08 88. 23. 46-53 19-28 19 Moon's U. L. ... 57. 19. 24-00 29-89 64-00 1. 27-77 59. 17-91 49.43-16 0-24 95. 2.28-77 95. 18. 41-77 19-28 20 Moon's U. L. ... 64. 0. 11-00 29-84 63-50 1.55-12 59. 10-43 53. 0-38 0-45 101.40.25-69 101. 56. 36-64 19-28 21 Moon's U, L. ... 69. 59.51-00 29-76 62-50 2. 33-51 58. 56-40 55. 13-14 0-63 107.38.31-14 107.54.38-21 19-29 26 Moon's L. L. ... 78.46. 8-00 29-72 55-50 4. 39-47 56. 18-57 55. 6-01 0-99 116.27. 0-87 11. 11.3704 19-31 29 Moon's U. L. ... 65. 48. 21 -00 29-46 54-50 2. 5-51 54.41-44 49. 43-44 0-53 103.32. 2-94 103.47. 0-14 19-32 July 4 Moon's U. L. ... 37. 34. 49-00 29-98 59-50 0. 43-95 54.51-48 33. 15-27 + 0-54 75. 33. 38-62 75. 48. 38-58 19-38 14 Moon's U. L. ... 41.28.11-00 29-38 67-00 0. 48-72 69. 45-35 39.21-27 + 0-38 79. 20. 59-23 79. 37. 19-75 19-49 20 Moon's LT. L. ... 77.31. 9-00 29-93 55-50 4. 13-83 57. 50-27 56. 18-73 -0-97 115. 10.23-53 115.26. 12-49 19-58 22 Moon's L. L. ... 80. 49. 53-00 29-65 55-50 5. 38-45 56. 47-96 55. 56 84 1-09 118.30.53-9-2 1 18. 15. 22-04 19-62 23 Moon's U. L. ... 79. 7.56-00 29-56 55-50 4. 46 95 50. 15-79 55. 7-20 1-04 11^. 48. 55-11 117. 4. 18-18 19-64 Aug. 2 Moon's U. L. ... 29. 48. 59-00 29-55 59-75 0. 32-25 55. 25-53 27.21-13 + 0-81 67. 53. 31-33 68. 8.40-62 1983 4 Moon's L. L. ... 24. 25. 14-00 29-50 60-00 0. 25-50 57. 0-73 23.21-59 + 1-07 62. 33. 39-38 62.18. 399 19-88 23 Moon's L. L. ... 64. 49. 43-00 29-62 53-00 2. 1-10 54. 26-56 49. 6-74 0-46 102.33.57-30 102. 19. 4-17 20-23 27 Moon's U. L. ... 41.22. 2-00 29-95 53-25 0. 50-87 54. 5-28 35. 32'96 + 0-38 79.18.40-69 79. 33. 27-98 20-31 28 Moon's U. L. ... 30. 2.53-00 29-73 56-50 0.41-47 64. 19-83 31.46-24 -t-0-54 74. 3. 9-17 74. 18. 0-45 20-33 29 Moon's U. L. ... 31. 17. 13-00 29-82 48-50 0. 35-31 54.44 16 28. 13-33 + 0-74 69.20.56-12 69. 35. 54-06 20-34 Sep. 1 Moon's U. L. ... 23. 8. 9-00 29-05 57-75 0. 24-23 56. 55-57 22. 9-36 + 1-10 61.17.45-37 61. 33. 19-33 20-38 3 Moon's L. L. ... 26. 16. 14-00 29-89 53-50 0. 28-46 58. 53-42 25. 50-84 + 0-99 64.22. 13-01 04. 6. 6-73 20-41 21 Moon's U. L. ("). . 54. 50. 24-00 29-52 54-75 1.20-46 54. 0-07 43. 58-05 0-13 92,39. 6-08 92. 53. 52-55 20-54 22 Moon's U. L. C). . 48. 57. 57-80 30-11 54-25 1. 6-56 53. 55-63 40. 29-40 + 0-13 86. 49. 55-49 87. 4.40-13 20-54 27 Moon's U. L. ... 25. 16. 59-00 29'82 46-25 0. 27-58 65. 13-97 23. 23-07 -f-1-00 63.25.24-91 63.40.31-02 20-54 28 Moon's U. L. ... 23. 21. 58-00 29-92 37-50 0. 25-77 55. 54-08 21.57-83 + 1-09 01.31. 47-43 61.47. 4-55 20-53 Oct. 13 Moon's L. L. ... 79. 51. 47-00 30-12 46-25 5. 18-82 56. 32-08 55. 31-45 1-05 117.32.53-7-2 117.17.26-19 20-43 14 Moon's L. L. ... 77. 4. 9-00 30-05 45-25 4.11-43 55. 44-82 54. 1 1-97 0-92 114.45.27-94 114.30. 13-36 20-41 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. () Observed at Transit of 2 L. Increase of N. P. D. during passage of Semidiameter = 14" -26. ( b ) Observed Z.D. decreased 2 Verniers. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (53) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U.L.or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1763. Oct. 16 Moon's L. L. ... / II 68.20. 6-00 30-07 41-25 i // 2.32-18 / n 54. 36-84 / // 50. 36-23 // 0-54 o / // 106. 3. 21-81 O 1 " 105. 48. 25-87 20-39 n Moon's L. L. ... 62.58.45-00 30-04 41-75 1.55-91 54. 16-00 48. 10-78 0-38 100. 43.50-15 100. 28. 59-92 20-37 21 26 29 Moon's L. L. ... Moon's U L. ... 39. 58. 37-00 22. 58. 36-00 30. 49. 36-00 29-80 29-91 29-78 40-25 45-25 49-00 0. 49-50 0.24-88 0. 34-59 54. 4-15 55. 57-22 58. 13-76 34. 32-58 21.38-14 29. 37-44 + 0-46 + 1-13 4-0-70 77. 56. 14-78 61. 8.44-27 68. 61. 54-34 77. 41. 27-80 61.24. 2-25 68. 35. 58-93 20-31 20-23 20-16 Moou's L. L. ... 31 Moon's L. L. ... 42. 43. 20-00 29-24 43-75 0.53-10 59. 52-96 40. 24-76 + 0-35 80.35. 9-09 80. 18. 46-49 20-12 Nov. 12 Moon's L. L. ... 70. 3. 19-00 30-27 39-25 2. 44-31 55.11-08 51. 43-49 -0-61 107.45.39-61 107. 30. 34-29 19-89 13 Moon's L. L. ... 64. 49. 47-00 30-32 41-00 2. 7-06 54. 38-75 49. 17-80 0-46 102. 33. 56-20 102. 18. 59-74 19-87 14 Moon's L. L. ... 59. 12. 45-00 30-45 43-50 1.40-32 54. 16-88 46. 27-66 -0-27 96. 59. 17-79 96. 44. 27-32 19-85 15 Moon's L. L. ... 53. 24. 16-00 30-31 40-00 1.20-81 54. 5-03 43. 14-52 0-04 91. 13. 42-65 90. 58. 55-43 19-83 16 Moon's L. L. ... 47. 33. 45-00 29-95 38-00 1. 5-18 54. 2-39 39. 41-64 + 0-22 85. 26. 29-16 85. 11. 42-66 19-81 17 Moon's L. L. (') . . 41. 52. 56-00 30-07 28-75 0. 54-73 54. 7-58 35. 56-46 + 0-38 79. 49. 15-05 79.34.27-13 19-79 18 Moon's L. L. ... 36.31.25-00 29-85 30-50 0. 44-71 54. 19-54 32. 8-02 -1-0-54 74. 31. 22-63 74. 16. 31-44 19-78 19 Moon's L. L. ... 31.44.58-00 29-82 28-60 0. 37-49 54. 36-68 28.32-11 + 0-74 69. 48. 24-52 69. 33. 28-62 19-76 21 Moon's U. L. ... 24.31.40-00 30-01 26-OJ 0. 27-98 55. 23-56 22. 47-41 + 1-04 62. 40. 42-01 62. 55. 50-76 19-73 23 Moon's U. L. ... 23.29. 1-00 30-07 42-50 0. 25-78 56. 22-20 22. 15-24 -i-1-08 61. 38. 33-02 61. 53. 57-85 19-69 25 Moon's L. L. ... 29.33.11-00 29-84 46-25 0.33-12 57. 29-89 28. 8-82 -1-0-84 67. 36. 56-54 67.21.13-16 19-66 27 Moon's L. L. ... 40.26. 11-10 29-77 47-75 0. 49-48 58. 42-98 37. 52-30 + 0-45 78.20.29-13 78. 4.25-71 19-62 28 Moon's L. L. ... 47. 8.29-00 29-86 39-50 1. 3-82 59. 18-29 43. 15-93 + 0-24 84. 57. 37-53 84. 41. 24-43 19-61 Dec. 9 Moon's L. L. ... 71.56.49-00 30-19 42-25 3. 0-92 56. 1-57 53. 7-21 -0-69 109.38. 2-42 109. 22. 43-24 19-49 11 Moou's L. L. ... 61. 16. 35-00 29-06 40-00 1.44-79 54. 45-30 47. 50-92 0-30 99. 1.48-97 98.46.50-71 19-47 19 Moon's U. L. ... 23. 32. 32-00 29-31 33-75 0. 25-66 56. 1-40 22. 10-18 + 1-08 61.42. 8-96 61.57.28-09 19-44 20 Moon's U. L. ... 23. 16. 42-00 29-41 33-00 0. 25-47 56. 34-61 22. 8-97 -t-1-09 61.26. 19-99 61.41.48-22 19-44 21 Moon's U. L. ... 24. 45. 42-00 29-53 37-00 0.27-18 57. 6-82 23. 42-59 + 1-05 62. 53. 48-04 63. 9.25-10 19-44 25 1764. Jan. 11 Moon's L. L. ... Moon's L. L. ... 45. 17. 16-00 40. 22. 53-00 29-66 30-23 32-00 34-00 1. 0-38 0. 51-61 58. 47-91 54. 12-93 41.34-67 34. 55-76 + 0-27 + 0-45 83. 8. 2-38 78. 20. 9-50 82.51.57-61 78. 5.20-11 19-44 19-58 14 Moon's L. L. ... 27. 1.31-70 29-22 41-50 0. 29-47 55. 15-04 24. 54-04 + 0-95 65. 8.28-48 64. 53. 22-07 19-G3 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb ami of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co- Latitude 38. 31'. 20" '40. (*) The Quadrant was out of adjustment. See the errors of Jupiter and Saturn on this day in the Reduction of Observations of Planets, pages 608 and 642. (54) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquit* of Ecliptic 23.28' a 19-67 1764. Jan. 16 Moon's U. L. ... O / II 23. 7.19-00 29-50 o 38-50 / // 0. 25-06 / i> 56. 33-84 / // 22. 0-16 // + 1-10 o / // 61. 17. 5-40 o / // 61.32.33-42 21 Moon's L. L. ... 43. 17. 22-00 29-81 33-25 0. 56-44 59. 15-70 40. 25-42 + 0-32 81. 9.13-74 80.53. 1-35 19-74 23 Moon's L. L. ... 57. 19. 49-00 29-95 3675 1. 33-03 59. 24-20 49. 48-89 0-21 95. 2. 53-33 94. 46, 38-61 19-78 Feb. 10 Moon's L. L. ... 28. 15. 15-00 29-61 38-50 0. 31-66 54.44-10 25. 42-49 + 0-90 66. 21. 25-47 66. 6.27-54 20-13 11 Moon's L. L. ... 25.18. 5-00 29-54 43-00 0. 27-53 55. 17-01 23. 25-36 + 1-03 63. 26. 28-00 63. 11.21-65 20-14 13 Moon's U. L. . . . 23. 10. 36-80 29-89 44-50 0. 25-14 56. 48-35 22. 8-81 + 1-10 61.20.14-63 61.35.46-62 20-18 15 Moon's TJ. L. ... 28.28.37-00 30-08 39-25 0. 32-41 58. 31-71 27.41-34 + 0-87 66. 32. 49-34 66.48.49-67 20-22 18 Moon's L. L. ... 47. 26. 20-00 29-90 45-75 1. 3-74 60. 12-08 44. 7-91 + 0-23 85. 14. 36-46 84. 58. 8-62 20-28 20 Moon's L. L. ... 61. 58. 35-00 30-45 33-00 1.54-71 60. 8-78 5-2. 54-49 0-33 99. 38. 55-29 99.22.28-35 20-31 24 Moon's L. L. ... 80. 39. 48-00 29-91 30-75 5. 54-05 58. 9-00 57. 15-04 1-08 118. 19.46-33 118. 3.52-23 20-37 Mar. 13 Moon's U. L. ... 26. 25. 59-00 29-99 42-75 0. 29-40 57.41-23 25. 27-91 + 0-96 64. 32. 21-85 64.48. 8-34 20-56 15 Moon's U. L. ... 36. 24. 31-00 30-17 42-75 0.43-87 59. 35-60 35. 9-09 + 0*54 74.21.26-72 74. 37. 44-56 20-56 16 Moon's U. L. ... 43. 9.41-80 30-03 45-00 0. 55-24 60.21-22 41. 4-08 + 0-30 81. 0.53-66 81.17.24-01 20-57 17 Moon's U. L. ("). . 50. 33. 10-30 30-09 46-50 1.11-46 60.51-93 46. 47-47 88. 18.54-69 88. 35. 33-45 20-57 20 Moon's L. L. ... 72. 6.30-00 30-18 34-00 3. 5-78 60.31-46 57. 26-27 0-70 109.43.29-21 109. 26. 56-05 20-58 21 Moon's L. L. ... 77. 0.28-00 30-09 32-50 4. 17-51 59. 52-83 58. 12-24 0-91 114. 37. 52-76 114.21.30-19 20-58 22 Moon's L. L. ... 80. 8.51-00 30-05 34-50 5. 35-27 59. 5-66 53. 5-41 1-06 117.47.40-20 117.31.30-57 20-57 Apr. 11 Moon's U. L. ... 33. 30. 34-00 29-08 45-25 0.37-77 58. 26-94 32. 3-08 + 0-64 71. 30. 29-73 71.46.28-76 20-41 12 Moon's U. L. ... 39. 36. 47-00 29-45 45-00 0.47-82 59. 25-98 37. 40-64 + 0-46 77.31. 15-04 77. 47. 30-25 20-39 13 Moon's TJ. L. ... 46.35.38-00 29-35 41-75 1. 1-27 60. 18-75 43. 36-20 + 0-24 84.24.23-71 84.40.53-38 20-38 17 Moon's L. L. ... 74. 48. 57-00 29-70 34-25 3. 36-42 61. 3-46 58. 46-38 0-81 112.25. 6-63 112. 8.24-70 20-31 19 Moon's L. L. ... 81. 3.10-00 30-14 36-00 6. 7-17 59. 34-33 58. 42-97 1-10 118.41.53-50 118.25.36-00 20-28 20 Moon's U. L. ... 80.31.24-00 30-14 34-50 5. 48-96 58. 36-63 57. 40-57 1-10 118. 10.51-69 118. 26. 53-37 20-26 May 6 Moon's U. L. ... 24. 25. 13-00 30-14 63-00 0. 25-90 55. 46-53 22.51-12 + 1-05 62.34. 9-23 62. 49. 24-28 19-94 7 Moon's U. L. ... 27. 18.43-00 29-95 70-00 0.28-87 56. 28' 03 25. 41-93 + 0-91 65.24.51-25 65. 40. 17-68 19-92 8 Moon's U. L. ... 31.35.48-00 29-91 68-50 0. 34-44 57. 15-96 29.47-43 +0-72 69.37.56-13 69. 53. 35-69 19-90 10 Moon's U. L. ... 43.28.13-00 29-37 56-50 0. 53-34 59. 2-23 40. 24-20 + 0-29 81.20. 2-83 81.36.11-53 19-86 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude SB . 31'. 20" '40. (') Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = + 20"- 63. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," "Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (55) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L.or L.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1764. May 13 Moon's U. L. ... o ' n 64. 55. 24-00 in. 29-50 o 47-50 / // 2. 2-73 / // 61. 5-38 / // 55. 8-88 // 0-49 o / // 102. 33. 37-76 o / // 102. 50. 20-21 it 19-81 17 Moon's L. L. ... 81.12. 7-00 29-90 46-50 6. 167 59. 50-09 58. 59-95 1-10 118.50.28-02 118.34. 6-21 19-72 18 Moon's U. L. ... 79. 32. 57-00 29-89 46-00 5. 7-42 58. 54-06 57.47-12 1-06 117.11.36-64 117.27.43-10 19-70 20 Moon's U. L. ... 72. 22. 34-00 29-91 59-50 2.57-39 56. 56-32 54. 6-75 0-73 110. 2.44-31 110.18. 18-49 19-66 21 Moon's U. L. ... 67. 14.24-00 30-08 52-50 2. 17-72 56. 4-03 51. 32-29 0-54 104. 56. 29-29 105. 11.49-14 19-64 23 Moon's U. L. ... 55. 41. 27-00 30-26 61-50 1.23-98 54. 45-40 45. 2-86 0-17 93.29. 8-35 93.44. 6-64 19-61 June 6 Moon's U. L. ... 41.22.28-00 30-08 58-00 0. 50-62 58. 0-67 38. 8-00 + 0-38 79.16.31-40 79. 32. 23-21 19-43 7 Moon's U. L. ... 48. 0.54-00 30-00 58-50 1. 3-58 58. 43-30 43. 26-56 + 0-18 85.49.51-60 86. 5.55-11 19-42 10 Moon's U. L. ... 68. 32. 30-00 29-54 55-50 2. 23-31 60. 27-02 56. 5-22 0-56 106.10. 7-93 106. 26. 39-86 19-39 14 Moon's L. L. ... 80. 47. 59-00 29-97 57-50 5. 39-59 59. 39'65 58. 45-63 1-08 118.26. 12-28 118. 9.53-33 19-36 16 Moon's U. L. ... 74. 17.43-00 30-00 53-50 3. 22-83 57. 57-75 55.3885 0-81 111.56.46-57 112.12.37-59 19-35 17 Moon's U. L. ... 69.21.24-00 29-88 60-00 2. 29-77 57. 2-90 53. 13-44 0-60 107. 2. 0-13 107.17.36-11 19-35 July 7 Moon's U. L. ... 66. 26. 26-80 30-06 65-75 2. 8-95 59. 29-87 54. 21-78 0-54 104. 5.33-83 104.21.50-10 19-41 8 Moon's U. L. ... 72. 15. 20-00 30-08 66-75 2. 54-57 59. 45-64 56. 45-35 0-72 109. 52. 48-90 110. 9. 9-50 19-41 17 Moon's U. L. ... 54. 5. 2-00 9-97 57-00 1. 19-09 55. 27-06 44. 43-30 0-09 9 91. 52. 58-10 92. 8. 7-81 19-52 18 Moon's C.L. ... 47. 59. 44-20 29-82 56-50 1. 3-42 54. 53-95 40.36-14 + 0-18 85.51.32-00 86. 6.32-69 19-54 Aug. 12 Moon's U. L. ... 62. 50. 47-00 29-61 52-00 1.51-23 56.27-13 50. 3-37 0-39 100.33,54-87 100.49.21-03 19-95 15 Moon's U. L. ... 44. 24. 45-00 29-65 50-50 0. 66-33 54. 47-08 38. 8-56 +0-27 82. 18. 53-44 82.33.52-18 19-99 Oct. 4 Moon's L. L. ... 72. 50. 23-00 29-59 50-50 3. 3-75 56. 51-72 54. 10-94 0-73 110. 30. 35-48 110.15. 2-56 20-28 5 Moon's L. L. ... 67.36.21-60 30-10 46-50 2.22-01 56. 16-72 51. 52-51 0-54 105. 18. 10-96 105. 2.47-63 20-27 7 Moon's L. L. ... 55.41. 4-50 29-96 46-00 1. 25-79 55. 17-21 45. 29-00 -0-14 93.28.21-55 93. 13. 14-55 20-26 18 Moon's L. L. ... 30. 52. 59-00 29-90 42-50" 0. 35-28 56. 37-78 28. 51-48 + 0-78 68.56. 3-98 68. 40. 34-88 20-08 20 Moon's L. L. ... 42. 10. 6-00 29-94 54-50 0.52-17 58. 33-88 39. 6-29 +0-37 80. 3. 12-65 79.47.11-73 20-05 31 Moon's L. L. ... 74. 12. 1-80 29-83 41-50 3. 25-53 57.30-12 55. 11-03 0-79 111.51.3591 111.35.52-47 19-83 Nov. 4 Moon's L. L. ... 51.26. 6-00 29-86 44-00 1. 13-55 54. 54-01 42. 44-44 + 0-04 89. 15.55-55 89. 0.54-90 19-74 10 Moon's U. L. ... 23.59.21-00 29-77 43'00 0.26-11 54. 3-76 21. 46-82 + 1-06 62. 9.21-75 62.24. 8-62 19-60 29 Moon's L. L. ... 65. 20. 54-00 30-02 41-00 2. 8-79 56.51-49 51. 30-61 0-48 103. 2.52-10 102.47.19-25 19-23 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in (he Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. (56) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular lori/.ontal sq unto real Parallax. Parallax. Interval at which Observa- ion was made rforo or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Jorrec- onfor Curva- iire of Path. Geocentric N.P. D. fU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. ( of Center at Transit of 1 L. or 2 L. ! Tabular )bliquity of Ecliptic. 23.2B'. 1764. Dec. 6 Moon's U. L. . . Oil! 27.17.29-10 in. 28-85 o 39-00 / // 0. 29'58 / // 53. 59-22 / // 4. 33-16 it I + 0-92 o i a 65. 24. 45-84 O 1 II 65.39.31-47 // 19-11 7 Moon's U. L. . . 24.38.19-20 29"29 37-00 0. 26-81 64. 4-01 2. 20-37 + 1-04 62. 47. 47-08 63. 2.34-02 19-10 29 Moon's L. L. . . 49. 9.57-70 29-60 28-00 1. 9-58 55. 28-52 41.46-94 + 0-16 87. 0.40-90 86. 45. 30-79 19-00 31 1765. Feb. 3 Moon's L. L. . . Moon's U. L. . . 37. 44. 44-30 25. 43. 35-70 29-51 29-96 29-00 27-00 0. 46-35 0. 29-43 54.25-99 55. 20-58 33. 7-40 23. 49-07 + 0-54 + 0-99 75.43.44-19 63.51.37-45 75. 28. 51-22 64. 6.45-39 19-02 19-46 Mar. 2 Moon's U. L. . . 24. 34. 18-70 28-99 35-00 0. 26-57 55. 4-02 22.41-66 H-l-04 62. 43. 25-05 62. 58. 28-44 19-84 May 31 Moon's U. L. . . 67. 19. 44-40 30-14 51-00 2. 18-99 59. 59-48 55. 10-90 71 after -17-49 o-oi 104.57.55-12 05. 14. 19-50 18-63 June 1 Moon's U. L. . . 73. 5. 5-50 30-12 48-50 3. 10-66 60. 44-25 57. 56-90 75 after -15-26 o-oi 110.41.24-27 10.58. 0-93 18-62 3 Moon's L. L. (') Moon's U. L. (") 80. 32. 36-80 79. 59. 20-60 29-99 55-00 5. 32-91 5. 15-36 61.21-90 61.21-90 60. 23-62 60. 17-25 162 before + 8-45 -14-52 1-08 118. 9. 0-48 117.35.31-88 117.52.13-50 117.52.18-80 18-68 4 Moon's L. L. 80. 42. 45-00 29-89 54-50 5. 37-79 61. 8-94 60. 12-66 1-08 118.19.29-52 118. 2.46-09 18-57 6 Moon's U. L. . . 74. 3. 12-90 29-98 49-00 3. 21-44 59. 50-05 57. 22-51 -0-8 111.40.31-32 111.56.53-12 18-54 11 Moon's U. L. . . 43.57.51-00 29-88 64-50 0. 54-33 55. 31-33 38. 20-64 64 before -15-08 o-oo 81.51.29-12 82. 6.40-00 18-49 29 Moon's U. L. . . 75. 38. 26-70 30-11 51 00 3. 44-12 60. 22-26 58. 19-89 -0-9 113.15.10-37 113.31.41-00 18-41 30 Moon's U. L. . . 79. 2.47-20 3016 53-00 4.52-11 60. 56-08 59. 40-78 0-9 116.39.17-97 116.55.57-88 18-42 July 1 Moon's L. L. 80. 55. 33-10 30-21 57-50 5. 46-76 61. 12-58 60. 18-47 1-0 118.32.20-78 1 18. 15. 36-36 18-42 2 Moon's L. L. () 79. 54. 44-00 30-21 56-50 5. 14-38 61. 8-69 60. 3-65 0-9 117.31.14-19 117. 14.30-83 18-43 3 Moon's L. L. 76.43.11-10 30-60 61-50 4. 1-04 60. 44-52 58. 58-2-_ 26 before -4-2 -0-6 114.19.29-43 114. 2.52-70 18-44 8 Moon's U. L. . . 45.56. 4-30 29-72 55-00 0. 58-99 56. 20-98 40. 17-35 + 0-2 83.48. 6-17 84. 3.30-66 18-46 10 Moon's U. L. . . 34. 40. 44-40 29-8 54-00 0. 39-73 54. 57-74 31. 4-12 + 0-6 72.41.40-3I 72. 56. 41-98 18-47 11 Moon's U. L. . . 30. 10. 9-90 30-01 57'0( 0. 33 4 54. 29-84 27. 11-1 + 0-8 68. 14. 52-5fa 68. 29. 46-59 18-49 12 Moon's U. L. . . 26. 39. 17-20 29-9- 62-00 0. 28-53 54. 12-0 24. 6-83 + 0-9 64. 46. 59-36 65. 1.48-51 18-49 13 Moon's U. L. . . 24. 19. 28-40 29-8G 66-50 0. 25-37 54. 2-9 22. 3-7 + 1-0 62.29.10-51 62.43.57-16 18-50 23 Moon's U. L. . . 56. 27. 59-80 30-15 72-00 1.24-36 57. 4-3 47. 23-1 0-1 94.13.21-12 94. 28. 57-50 18-60 28 Moon's L. L. 80.41. 11-90 30 -0 62-50 5. 33-5 60. 18-9 59.23-1 -1-0 118. 18. 42-05 1 18. 2. 12-32 18-6 2 Moon's L. L. 80. 45. 10-20 30-10 62-5C 5. 35-88 60. 36-7 59. 41-3 1-0 118.22. 24-49 118. 5.49-88 18-6 3t Moon's L. L. 78. 35. 57-30 30-04 60-OC 4. 35-8 60. 38-7 59. 18-4 0-9 116. 12. 34-50 115.55. 59-35 18-70 31 Moon's L. L. . . 74. 29. 37-50 30-05 59-5C 3. 23"2 60.23-1 58. 2-0 0-8 112. 6.18-62 111.49.47-75 18-7 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. To 1765, March 2, the N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20'' -40. Commencing with 1765, May 31. The N. P. D. is formed by adding Olufsen's 90 p and q. cos. N. P. D. to the corrected Quadrant Reading. From 1765, May 31,90- p = 38. 31'. 19" -73: q = l"'5o. From 1765, July 8, 90 -p = 38. 31'. 20" "13 : q= l"-56. (") This is combined with 1 L. ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 6 -20. ( c ) Observed at Transit of 2 L. Increase of N. P.D. during passage of Semidiameter = 6* -58. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (57) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Fx]uatoreal Parallax. Parallax. Interval at which Observa- tii H i was made before or after the bright Limb passed the Meridian. Cor- rection for In ter- ra]. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L.orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1765. Aug. 1 Moon's U. L. . . o / 68. 23. 37-80 in. 30-01 o 60-50 / # 2. 23-05 ' a 59. 51-28 / // 55. 28-64 // 0-54 Q f II 106. 1.52-23 o / // 06. 18. 14-38 18-73 2 Moon's U. L. . . 62. 0.26-60 29-73 64-00 1. 45-20 59. 6'86 52. 0-84 38 before -1007 0-09 99. 41 21-19 99.57. 31-16 18-75 4 Moon's U. L. . . 48. 35. 25-90 29-74 57-50 1. 4-44 57. 20-20 42. 48-10 + 0-18 86.25. 2-45 86.40. 43-17 18-78 5 Moon's U. L. . . 42. 16. 13-00 29-65 57-50 0.51-53 56. 27-55 37.46-30 + 0-36 80. 10. 38-45 80. 26. 4-74 18-78 7 Moon's U. L. . . 31.37.21-30 29-45 56-50 0. 34-76 55. 2-63 28. 39-35 + 0-72 69. 40. 37-02 69. 55. 40-03 18-81 8 Moon's U. L. . . 27. 40. 39-40 29-58 57-00 0. 29-72 54. 34-22 25. 8-66 + 0-90 65. 47. 20-85 66. 2. 16-07 18-84 10 Moon's U. L. (") 23. 24. 27-80 29-76 54-00 0. 24-83 54. 8-97 21.18-68 + 1-08 61.34.54-42 61.49.42-72 18-86 21 Moon's U. L. . . 07. 7.31-30 29-99 72-00 2. 11-27 57. 59-89 53. 16-04 0-54 104.47.46-52 105. 3.38-12 19-02 22 Moon's U. L. . . 72. 33. 26-50 29-89 6950 2. 65-58 58. 28-99 55. 38-18 0-72 110.12. 3-85 110.28. 344 19-02 24 Moon's U. L. . . 79. 39. 10-70 29-93 71-50 4. 54-72 59. 20-72 58. 14-41 1-08 117.17.10-78 117.33.24-55 19-05 27 Moon's L. L. 76.34. 7-40 29-88 64-00 3.51-53 59. 50-28 58. 3-33 -0-90 114. 11.15-47 1 13. 54. 53-60 19-09 28 Moon's L. L. 71.42.51-10 29-90 59-50 2. 50-60 59.38-13 56. 27-92 0-68 109. 20. 33-75 109. 4. 15-22 19-10 20 Moon's L. L. 65. 43. 43-60 29-61 64-00 2. 3-32 59. 13-86 53. 49-35 0-45 103.23.17-61 103. 7. 5-72 19-11 30 Moon's U. L. (") 58. 34. 15-20 29-75 59-50 1.32-50 58. 38-96 49. 51-30 33 before center 8-94 0-07 96. 17. 7-69 96. 33. 10-01 19-11 31 Moon's U. L. . . 51.46. 0-10 29-58 65-50 1. 10-58 57. 56-32 45. 18-71 o-oo 89. 33. 12-09 89.49. 2-71 19-13 Sep. 1 Moon's U. L. . . 45. 8. 48-30 29-76 55-50 0. 57-42 57. 9-71 40. 19-12 -r 0-27 83. 0.47-42 83. 16. 25-26 19 13 5 Moon's U. L. . . 25. 49. 53-50 30-12 51-50 0.2824 54. 36-87 23. 35-65 + 0-99 63.68. 7-12 64.13. 3-07 19-17 C Moon's U. L. . . 23.48. 5-70 30-02 59-50 0. 25-24 54. 19-93 21. 43 52 + 1-08 61.58. 8-49 62. 12. 59-79 19-18 9 Moon's L. L. 26.38.36-10 30-15 56-00 0. 29-03 54. 33-76 24. 15-95 + 0-99 64. 46. 10-23 64.31.15-13 19-19 21 Moon's U. L. . . 80. 24. 52-40 29-78 59-00 5. 23-60 59. 13-43 58. 15-58 1-08 118. 3.20-83 118. 19.32-60 19-19 23 Moon's L. L. 77. 50. 38-50 29-94 53-50 4. 21-69 59.10-88 57. 42-84 0-90 115.28.3788 115.12.26-81 19-18 24 Moon's L. L. . . 73.38.49-60 30-11 50-50 3. 16-52 59. 1-36 56. 29-02 0-81 111.16.57-61 111. 0.49-15 19-17 25 Moon's L. L. . . 68.12. 5-10 30-11 47-50 2. 25-98 58. 45-25 54. 23-29 -0-54 105.61.28-43 106. 35. 24-39 19-17 20 Moon's L. L. . . 61. 57. 10-90 30-04 48-50 1.49-45 58. 22-57 51.20-54 27 99.39. 0-55 99.23. 2-73 19-16 30 Moon's U. L. . . 35. 58. 33-40 29-33 48-50 0.41-48 5<>. 3-64 32. 43-53 + 0-54 73.57.52-19 74. 13.11-93 19-13 Oct. 1 Moon's C . L. ( c ) 31. 3. 0-70 29- 2 -J 46-5C 0. 34-44 55. 27-84 28. 24-08 09. 6. 31-23 69.21.41-15 19 11 2 Moon's U. L. . . 27.11. 9-30 28-9E 47-50 0. 29-08 54. 56-70 24. 53-92 + 0-99 65. 18. 5-52 65. 33. 6-91 19 11 The Moon's U, L. or L. L. was usually observed when the hright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N.P. D. to the corrected Quadrant Reading. 90 - p = 38. 31 '.20" -"13 : q = 1"'56. From September 1, asst-d the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. w. 2V. 1769. oia in. o / // / // / // a It I II o / '/ n Jan. 15 Moon's L. L. . . 36. 2. 14-30 29-58 44-00 0. 42-31 59. 11-33 34. 36-28 + 0-54 73. 59. 41-43 73. 43. 30-24 9-00 16 Moon's L. L. 31. 55. 7-70 29-92 40-50 0. 36-92 59. 27-50 31.13-03 + 0-72 69. 55. 52-75 69. 39. 37-13 9-01 17 Moon's L. L. 29. 7. 8-30 30-00 35-50 0. 33-45 59. 37 19 28. 47-53 + 0-87 67. 10. 15-44 66.53.57-16 9-02 18 Moon's L. L. 27. 56. 50-00 29-73 36-50 0.31-51 59. 38-03 27. 43-65 + 0-90 66. 0.59-08 65. 44. 40-58 9-02 20 Moon's U. L. . . 30. 17. 5-10 29-63 31-50 0. 34-93 59. 7-38 29. 35-76 20 after 2-41 + 0-36 68. 19. 22-61 68.35. 32 72 9-04 22 Moon's L. L. . . 39. 9. 44-20 29-79 21-50 0. 50-02 57. 56-97 16.23-19 20 before -1-4-05 + 0-24 77. 5. 35-97 76.49.45-17 9-06 27 Moon's L. L. 65. 6.54-30 29-75 39-50 2. 6-39 54. 39-46 49. 25-37 20 before -I-3-53 0-20 102.51. 0-61 102.36. 3-95 9-11 29 Moon's L. L. 72. 34. 30-80 29-51 24-50 3. 10-60 54. 12 35 51.34-63 20 before + 2-31 0-32 110.17.30-45 110. 2.41-22 9-13 30 Moon's L. L. 75. 2. 4-70 29-76 24-00 3. 45-02 54. 15-78 52. 17-26 0-81 112. 44. 53-41 112.30. 3"24 9-14 Feb. 22 Moon's L. L. 58. 2.55-30 29-28 33-50 1.34-14 55. 29-42 46. 54-41 0-27 95. 48. 56-00 95. 33. 45-64 9-34 23 Moon's L. L. 62. 58. 43-00 29-16 31-50 1.54-96 54. 59-29 48. 49-19 20 before 43-75 0-16 100. 43. 13-76 100.28. 11-66 9-35 26 Moon's L. L. 73. 54. 50-20 29-42 36-00 3. 21-35 54. 1 1 -92 51. 56-32 0-77 111.37.36-19 111.22.47-08 9-37 28 Moon's L. L. 76.32. 1-20 29-54 38-50 4. 0-77 54. 30-91 52. 53-05 20 before + 0-13 0-40 114. 14. 30-46 113.59.36-15 938 Mar. 16 Moon's U. L. . . 31. 29.23-50 30-05 45-00 0. 36-13 57. 59-93 30. 4-81 20 after 2-56 -t-0'32 09. 31. 13-00 69. 47. 4-61 9-35 21 Moon's U. L. . . 55. 25. 53-60 30-23 35-50 1.27-65 55. 27-77 45.29-21 0-14 93. 13.13-06 93. 28. 22-96 9-32 22 Moon's L. L. 60. 58. 32-00 30-08 34-50 1. 48-39 55. 1-98 47.57-13 0-27 98.43.44-33 98. 28. 41-50 9-30 23 Moon's L. L. 65. 33.41-90 30-29 37-50 2.12-19 54. 39-59 49. 36-23 -0-50 103.17.38-84 103. 2.42-14 9-29 27 Moon's L. L. 76. 6.14-50 30-10 34-50 3. 59-78 54. 11-63 52. 28-54 20 before + 0-49 0-40 113.49. 7-63 113.34. 18-60 9-23 Apr. 11 Moon's L. L. 29. 10. 59-90 28-99 52-50 0.31-29 59. 24 55 28. 44-88 58 after -3-26 o-oo 67. 14. 3-41 66. 57. 48-60 8-96 12 Moon's U. L. . . 30.48. 38-10 29-60 53-00 0. 34-08 58. 39-28 29. 49-49 24 after 2-72 -t-0-28 68. 50. 40-65 69. 6.43-06 8-94 14 Moon's U. L. . . 38. 33. 31-30 29-34 48-50 0. 45-56 57. 9-21 35. 24-90 23 after 4-33 -1-0-21 76.30. 8-48 76. 45. 46-20 8-89 16 Moon's U. L. . . 48. 35. 49-50 29-61 46-00 1. 5-70 55. 53-34 41. 43-53 11 after - 2-33 + 0-12 86. 26. 30-41 86.41.47-33 8-84 19 Moon's U. L. . . 63. 30. 35-90 29-90 44-50 1.57-36 54. 35-19 48.41-32 13 after 2-30 0-28 101. 15. 10-78 101.30. 6-27 8-76 22 Moon's L. L. 74. 6.32-70 29-77 46-50 3.21-78 54. 064 51. 48-56 20 before + 1-62 0-36 111.49.28-92 111.34.42-90 8-67 23 Moon's L. L. 75. 38. 14-60 30-02 43-50 3. 46-94 54. 0-77 52.11-49 18 before + 0-70 0-44 113. 21. 12-09 113. 6.26-04 8-64 24 Moon's L. L. 76. 3.43-20 30-12 41-50 3.55-67 54. 8-27 52. 24-70 0-90 113.46.35-06 113.31.46-95 8-61 25 Moon's U. L. . . 74. 51. 20-20 30-13 42-50 3. 36-31 54. 23-94 52. 22-18 0-86 112.33.55-23 112.48.47-64 8-58 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. I), is formed by adding Olufsen's 90 p and q cos. N. P. U. to the corrected Quadrant Readme. 90 - p = 38. 31'. 21" -06: q = 1" -82. (72) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Eqnatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28 / . 1769. Apr. 26 Moon's U. L. . . Q t it 73. 1. 9-20 in. 30-03 o 40-50 / // 3. 12-53 / // 54. 48-60 / // 52. 16-48 H t -0-77 O ' /' 110.43.26-18 O 1 II 110. 58.25-35 II 8-55 28 Moon's U. L. . . 66. 18. 11-50 30-04 46-00 2. 13-29 56. 6-59 51. 12-82 0-54 104. 0.3293 104. 15. 53-48 8-49 29 Moon's U. L. . . 61.39.45-90 30-18 50-00 1.48-31 56. 58-46 49.58-15 0-36 99. 22. 57-06 99.38. 31 -S3 8-46 30 Moon's U. L 56. 22. 47-90 30-28 53-50 1. 27-63 57. 56-00 48. 3-11 10 before 2-24 0-13 94. 7.31-24 94.23.21-77 843 May 14 Moon's U. L. . . 52. 20. 24-70 29-67 49-50 1. 14-64 55. 40-34 43. 53-00 o-oo 90. 9. 7-40 90. 24. 20-75 8-05 15 Moon's U. L. . . 57. 24. 57-20 29-78 47-50 1. 30-75 55. 5-71 46. 14-60 22 after -4-37 0-11 95. 11.30-09 95. 26. 33-04 8-02 16 Moon's U. L. . . 62. 9.54-20 29-74 46-50 1.49-77 54. 38-43 48. 8-92 -0-36 99. 54. 56-06 100. 9. 52-43 7-99 20 Moon's L. L. . . 75. 12. 44-60 29-65 46-00 3. 36-48 53. 56-63 52. 1-37 0-86 112.55.40-62 112.40.55-70 7-88 22 Moon's L. L. 75. 37. 13-50 29-63 58-50 3. 36-86 54. 1 1-76 52. 21-83 0-87 113.19.49-44 113. 5. 0-38 7-83 24 Moon's U. L. 71. 4.33-90 29-90 54-50 2. 46-25 64. 52-81 51. 45-76 0-69 108.46.55-35 109. 1. 55-67 7-78 25 Moon's U. L. . . 67. 34. 37-60 29-84 47-50 2. 20-28 65. 24-28 51. 3-31 16 before -2-57 0-29 105. 17. 13-25 105.32.22-19 7-75 27 Moon's U. L. 58. 20. 14-60 29-34 53-50 1.31-51 56. 49-12 48. 10-63 5 before 1-06 0-23 96. 4.55-44 96. 20. 27-65 7-70 28 Moon's U. L. . . 52. 56. 34-00 29-52 52-50 1. 15-43 57.41-42 45. 50-57 0-05 90. 43. 19-89 90. 59. 6-43 7-68 June 1 1 Moon's U. L. . . 55. 47. 28-90 29-89 61-50 1.23-26 55. 41-93 45. 52-66 0-18 93. 34. 20-49 93. 49. 34-28 7-42 12 Moon's U. L. . . 60. 42. 23-00 30-03 61-50 1.41-24 55. 3-25 47. 50-39 10 after 1-88 0-19 98.27.33-11 98. 42. 36-29 7-40 18 Moon's U. L. () 75. 22. 14-20 29-81 45-50 3. 40-27 54. 11-11 52.17-39 0-86 113. 4.57-99 113. 19.46-88 7-31 21 Moon's TJ. L. . . 68. 44. 44-60 29-75 47-50 2. 28-24 55. 10-18 51. 15-58 10 before 1-50 0-38 106. 27. 16-96 106.42.22-04 7-29 July 6 Moon's U. L. 42. 46. 58-70 30-15 71-00 0.51-94 58. 28-07 39. 30-08 + 0-32 80.39.41-64 80. 55. 40-97 7-22 8 Moon's U. L. 53. 38. 53-50 29-73 72-00 1. 14-95 56. 36-94 45. 24-36 0-09 91.26. 5-11 91.41.33-98 7-21 12 Moon's U. L. 71. 2.43-20 30-00 69-50 2. 41-54 54. 16-91 51.11-31 15 after -1-76 0-40 108. 45. 32-92 109. 0. 23-40 7-22 13 Moon's U. L. . . 73. 33. 23-50 29-90 66-50 3. 7-82 54, 6-84 51. 45-43 15 after -1-20 0-45 111.16. 5-96 111.30.53-68 7-23 14 Moon's U. L. . . 75. 4. 5-80 29-98 66-00 3. 28-01 54. 6-32 52. 8-33 40 after 1-54 0-10 112.46.45-60 113. 1.33-17 7-23 15 Moon's TJ. L. . . 75.29. 6-20 29-91 60-00 3. 36-17 54. 13-97 52. 21-78 0-95 113.11.41-42 113.26.31-09 7-23 16 Moon's U. L. . . 74. 45. 22-20 29-67 61-50 3. 23-42 54. 28-68 52.25-19 0-86 112.27.41-33 112.42.35-03 7-24 17 Moon's U. L. . . 72. 53. 28-80 29-72 55-50 3. 3-25 54. 49-05 52. 14-70 15 after + 1'47 0-40 110.35.40-12 110.50.39-41 7-24 18 Moon's U. L. . . 69. 58. 5-70 29-83 52-50 2. 30-79 55.1364 51.43-89 15 after + 2-08 0-35 107.40.21-94 107.55.27-96 7-24 19 Moon's U. L. . . 66. 7.36-20 29-95 52-50 2. 10-04 55. 41-25 50. 45-49 19 before 3-29 0-25 103. 50. 18-71 104. 5.32-31 7-26 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. 1 be N. P. D. ^formed by adding Olufsen's 90-p and - q cos. N. P. D. to the corrected Quadrant Reading. (") Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = !' 53. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (73) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion wag made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1769. July 20 Moon's U. L. . . O ' 1 61. 32. 52-70 in. 29-83 o 69-00 / K 1.42-54 / * 56. 11-39 / 49. 13-60 25 after * +4-98 U 0-72 O ' f 99. 16. 47-25 O f il 9. 32. 9-11 ti 7-27 24 Moon's U. L. . . 40.18.31-60 29-99 57-00 0. 48-70 58.21-89 37. 32-62 17 before 3-38 + 0-23 78.13. 5-22 78.29. 2-86 7-30 26 Moon's U. L. . . 31.46.20-90 29-93 66-50 0. 34-83 59. 23-45 31. 3-08 20 after + 2-51 + 1-28 69. 47. 16-87 70. 3.31-38 7-31 27 Moon's U. L. . . 29. 13. 46-80 29-71 67-50 0.31-18 59. 47-29 28. 53-35 15 before -1-04 -f-0-46 67.16.39-41 67. 33. 0-46 7-32 Aug. 8 Moon's U. L. . . 69.38.51-10 29-80 67-50 2. 29-68 54.40-11 51. 6-07 12 after 1-68 0-40 107. 21. 34-33 107.36.31-17 7-42 10 Moon's U. L. . . 74. 27. 41-00 29-89 69-50 3. 17-74 54. 12-18 52. 4-82 15 after 0-83 0-46 112.10.14-38 112.25. 3-56 7-44 12 Moon's U. L, . . 75. 3.56-10 29-7-2 69-00 3.24-91 54.26-41 52. 27-62 0-86 112.46.14-29 113. 1. 7-37 7-46 14 Moon's L. L. 71.40.40-80 29-83 54-50 2. 61-59 55.14-36 52. 17-52 0-68 109. 22. 35-85 109. 7. 29-63 7-48 15 Moon's L. L. 68. 11. 42-20 29-73 50-50 2. 23-20 55.46-17 51.37-37 0-54 105. 53. 49-05 105.38.34-10 7-49 10 Moon's U. L. . . 63.21. 3-00 29-86 50-50 I. 54-97 56.20-19 50. 10-75 0-41 101. 4. 8-22 101. 19. 32-50 7-50 18 Moon's U. L. . . 52.58.22-90 29-92 47-50 1.17-32 57. 27-59 45. 40-70 20 before 4-45 0-04 90.45.16-11 91. 0.58-86 7-52 10 Moon's U. L. . . 47. 25. 45-70 29-59 44-00 1. 3-29 57. 57-49 42. 28-71 20 before 4-40 + 0-08 85.15.36-87 85.31.2782 7-53 21 22 23 Moon's U. L. . . Moon's U. L. . . 37. 6.33-40 33. 0. 16-50 2938 29-38 29-62 43-00 41-50 41-50 0. 43-79 0. 37-72 0. 33-90 58. 44-96 59. 1-84 59. 14-18 35. 13-76 31.56-11 29. 27-61 20 before -3-57 + 0-24 + 0-68 + 0-81 75. 3.20-69 71. 0.19-26 68. 6.37-28 75. 19. 24-65 71.16.27-85 68. 22. 49-25 7-54 7-55 7-56 Moon's U. L. . . 30. 4. 9-80 24 Moon's U. L. . . 28. 35. 30-30 29-79 44-50 0.31-90 59.21-57 28.11-19 + 0-86 66. 39. 12-21 66. 55. 26-21 7-57 Sep. 3 Moon's TJ. L. . . 63.52. 8-10 30-13 69-00 1. 54-30 55. 37-62 49. 46-29 0-45 101. 35. 37-09 101.50.49-69 7-61 8 Moon's U. L. . . 75. 4.34-20 29-45 69-50 3. 22-99 54. 16-97 52. 18-68 15 after + 0-21 0-51 112.46.59-97 113. 1.50-46 7-62 10 Moon's L. L. 72. 40. 28-40 29-41 49-00 3. 1-40 54. 57-67 52. 19-19 0-72 1 10. 22. 31-58 110. 7.29-93 7-61 11 Moon's L. L. 69. 39. 38-80 29-38 42-00 2. 35-27 S5. 31-46 51.54-60 0-59 107.21.40-48 107. 6.29-57 7-61 12 Moon's L. L. .. 65.44.11-70 29-48 47-50 2. 7-01 56.11-42 51. 3-79 0-50 103. 26. 35-90 103. 11.14-03 7-61 Id Moon's U. L. () 49. 43. 48-00 29-86 40-50 1. 9-74 58. 17-58 44. 16-55 + 0-09 87.32. 2-26 87.47.58-71 7-60 16 Moon's U. L. . . 44. 9.25-10 30-01 41-50 0. 57-57 58. 50-72 40. 46-94 + 0-27 82. 0. 56-81 82. 17. 2-35 7-00 17 Moon's U. L. . . 38. 56. 24-40 29-90 47-00 0.47-21 59. 15-35 37. 1-55 18 before -3*46 + 0-22 76.51.27-47 77. 7.39-76 7-60 18 Moon's U. L. . . 34.27. 1-10 29-89 46-50 0.40-11 59. 29-67 33.26-11 20 before 3-10 -1-0-28 72. 25. 32-79 72.41.49-01 7-58 19 Moon's U. L. . . 31. 4-. 20-80 29-88 46-50 0. 35-23 59. 34-33 30. 31-51 16 before 1-68 + 0-39 69. 5.43-64 69.22. 1-14 7-58 20 Moon's TJ. L. . . 29. 7. 18-40 29-92 42-50 0. 32-89 59. 30-22 28. 44-23 17 before 0-77 + 0-42 67. 10. 27-06 67. 26. 43-43 7-56 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading 90 - p = 38. 31'. 21" -06: q = l"-82. (') Observed at Transit of 1 L. Increase of N. P, D. during passage of Semidiameter = 14'- 78. GREENWICH LUNAR REDUCTIONS. (L) (74) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. UorL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2328'. 1769. Sep. 21 Moon's U. L. . . O ' 28.46.47-20 in. 29-84 o 36-50 / u 0. 32-74 ' // 59. 19-11 / // 28. 20-28 ' H II + 0-86 o / // 66. 50. 20-86 o / // 67. 6.34-18 II 7-56 23 Moon's L. L. 33. 17. 50-90 29-61 57-50 0. 37-20 58. 42-75 32. 0-94 + 0-68 71.17.48-32 71. 1.44-96 7-54 24 Moon's L. L. 37. 8.45-40 29-57 50-00 0. 43 50 58. 19-27 35. 0-23 + 0-54 75. 5.49-80 74. 49. 52-87 7-53 Oct. 8 Moon's L. L. 70.50.21-80 29-90 44-50 2. 47-51 54. 56-09 51. 44 62 0-63 108. 32. 45-70 108. 17. 44-48 7-32 9 Moon's L. L. 67. 23. 7-60 29-97 44-50 2. 20-46 55. 33-48 51. 7-71 14 after + 2-23 0-32 105. 5. 43-79 104. 50. 32-33 7-30 10 Moon's L. L. 63. 8. 0-50 30-11 42-50 1. 56-77 56. 19-29 50. 4-38 0-36 100.51.13-93 100. 35. 49-90 7-28 11 Moon's L. L. 58. 13. 66-80 30-21 42-50 1. 35-99 57. 10-58 48.25-76 0-27 95. 58. 28-01 95. 42. 49-92 7-26 12 Moon's L. L . . . 52. 52. 37-90 30-32 43-50 1. 18-73 58. 3-77 46. 6-12 13 after + 2-89 o-oo 90. 39. 14-41 90. 23. 21-75 7-24 13 Moon's L. L. 47.19. 1-20 30-38 44-50 1. 4-65 58. 54-32 43. 5-81 16 after + 3-54 + 0-15 85. 8.24-56 84.52.18-03 7-21 15 Moon's U. L. . . 36.23.51-70 29-07 38-50 0. 43-94 60. 8-26 35.27-81 + 0-54 74. 20. 28-84 74. 36. 55-63 7-17 16 Moon's U. L. . . 32. 26. 33-50 29-75 45-50 0. 37-07 60. 24-23 32. 10-79 17 before 2-20 +0-37 70. 26. 18-29 70. 42. 49-46 7-15 19 Moon's L. L. . . 30. 15. 56-90 29-97 48-50 0. 34-08 59. 43-67 29. 52-96 19 before + 1-19 + 0-38 68. 17. 59-87 68. 1.39-82 7-06 21 Moon's L. L. 36. 7. 15-00 29-74 47-00 0. 42-41 58. 32-74 34. 17-84 19 before + 3-10 + 0-25 74. 5. 3-38 73.49. 2-76 7-01 Nov. 5 Moon's L. L. 68.41.32-20 29-46 54-50 2. 24-31 54. 47-47 50. 53-57 0-54 106.24.23-94 106. 9.25-09 6-60 7 Moon's L. L. 60. 20. 46-30 29-40 50-50 1 . 39-89 56. 10-28 18. 38-38 -0-27 98. 5. 8-80 97. 49. 47-24 6-53 8 Moon's L. L. 55.20. 5-30 29-32 46-50 1. 22-78 57. 4-39 46. 45-29 0-14 93. 6. 3-74 92. 50. 27-35 6-51 10 Moon's L. L. 44. 34. 46-10 29-92 39-50 0. 58-49 59. 2-58 41. 14-00 4-0-27 82. 25. 51-60 82. 9.42-80 6-45 11 Moon's L. L. 39. 24. 55-70 29-97 34-50 0. 49-39 59. 56-72 37. 50-68 + 0-50 77. 19. 15-48 77. 2.51-85 6-42 14 Moon's U. L. . . 29. 14. 41-70 29-64 38-50 0. 33-01 61. 11-18 29. 39-89 17 before 0-58 + 0-4-2 67. 16. 54-90 67. 33. 38-94 6-33 15 Moon's U. L. . . 29. 17. 15-20 29-78 31-50 0. 33-72 60. 56-6(5 29. 35-23 16 before + 0-60 + 0-44 67.19.34-98 67.36. 15-04 6-30 16 Moon's L. L. 31.38.19-10 29-57 29-50 0. 36-94 60. 24-85 31.28-07 14 before + 1-44 + 0-42 69. 38. 50-15 69.22. 18-81 6-27 17 Moon's L. L. 3 J. 52. 29-40 29-89 30-50 0. 42-14 59. 40-56 33.54-18 19 before + 2-93 + 0-29 72.50.41-00 72.34.21-79 6-24 IS Moon's L. L. 39. 8.19-10 30-04 30-00 0. 49-49 58. 49'69 36.55-16 15 before + 2-83 + 0-30 77. 3.37-12 76.47.31-86 6-21 Dec. 7 Moon's L. L. . . 47. 1.33-00 30-08 40-50 1. 3-90 57. 43-73 42. 2-18 20 after -r-4-18 -r-0-12 84.51.59-84 84. 36. 12-67 5-76 8 Moon's L. L. . . 41.53. 0-80 30-12 38-50 0. 53-70 58. 44-02 39. 0-07 + 0-36 79.46.15-44 79.30. 11-73 5-74 9 Moon's L. L. . . 37. 8.34-10 29-88 35-50 0. 45-29 59. 42-79 35. 50-22 + 0-54 76. 4.50-20 74.48.30-38 5-73 12 Moon's L. L. (") Moon's U. L. (") 29. 36. 38-90 29. 2.31-10 30-02 44-50 0. 33-52 0. 32-75 61.28-91 61. 28-94 30. 09-06 29. 37-08 + 0-85 + 0-85 67. 38. 24-47 67. 4.47-67 67.21.35-58 67.21.36-57 5-67 The iMoon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed >v adding Olufsen's 90 p and q cos. N.P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 21" '06 : q = 1"'82. From 1769, October 12, 90 - p = 38.31'.20" '99 : q = l"-93. (*) Observed at Transit of 1 L. ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 0'- 19. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR. DISTANCE. (75) Year, Month, and Ua Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. _^_^^_^^_ Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- ion was made wfore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P. D. ofU.L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23 = .28'. 1709. o / . L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tallies above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90" p and q cos. N. P. D. to the corrected Quadrant Reading. 90 _ p = 38. 31'. 20" -99: q = 1"'93. From 1770, February 1, 90 - p = 38. 31'. 20" '91 : q = 2" "03. (L)2 T76) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at | which Obscrva- 1 tiun was made before or after ! the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2328'. 1770. Apr. 7 Moon's U. L. . . O t It 52. 35. 12-40 in. 28-92 o 34-50 / // 1. 15-72 / /' 57. 49-03 / ti 45. 43-56 s 15 after // 3-19 i o-oo O , / a 90.22. 2-29 O t It 90. 37. 50-92 5-61 8 Moon's L. L. 58.17.33-50 29-17 38-50 1.33-68 57. 18-45 48. 34-31 18 after 3-62 0-13 96. 1.50-24 95.46.10-00 5-59 12 Moon's L. L. 72.53.22-10 29-86 33-00 3.12-98 55. 6-32 52.31-41 16 before + 1-17 0-39 110.35.26-07 110.20.22-05 5-50 14 Moon's L. L. 74.21.26-20 29-88 35-50 3. 30-66 54. 22-26 52. 13-21 20 before -0-27 0-3(5 112. 4. 4-69 111. 49. 12-74 5-45 19 Moon's U. L. . . 60. 47. 53-30 29-82 42-50 1. 44-90 55. 20-80 48. 8-28 20 before 3-60 0-12 98. 32. 47-41 98. 47. 55-40 5-32 May 6 Moon's U. L. . . 60. 57. 21-90 29-49 44-50 1.4398 56. 32-57 49. 15-26 21 after 3-85 -0-11 98.41. 7-88 98. 56. 35-55 4-87 7 Moon's U. L. . . 65. 15. 58-00 29-68 47-50 2. 5-15 56. 1-86 50. 43-39 16 after 2-53 0-29 102. 58. 38-31 103. 13. 57-57 4-84 8 Moon's U. L. . . 68. 51. 27-40 29-74 46-50 2. 29-35 55. 32-95 51.39-11 25 after 3-14 -0-18 106. 33. 35-81 106.48.47-13 4-81 9 Moon's L. L. () Moon's U. L. (") 72. 3.37-10 71.33.31-10 29-80 46-50 2.58-17 2. 53-10 55. 6-49 55. 6-42 52.17-01 52. 7-60 0-72 0-72 109. 45. 39 14 109. 15. 36-38 109. 30. 35-07 109.30.40-43 4-78 12 Moon's U. L. . . 73. 21. 57-40 29-51 49-50 3. 9-66 54. 11-86 51.47-14 19 before 0-76 0-38 111. 4.40-42 111.19.29-51 4-69 14 Moon's TJ. L. . . 69.28.31-70 29-64 50-50 2. 32-41 54. 9-46 50. 34-01 21 before -2-43 0-27 107. 11. 48-91 107. 26. 37-35 4-63 June 1 Moon's U. L. . . 54. 37. 47-40 29-55 53-50 1.20-13 57.22-14 46. 35-29 0-14 92. 23. 53-09 92. 39. 34-35 4-20 7 Moon's U. L. (') 73. 45.31-80 30-02 50-50 3. 17-34 54.21-45 52. 2-71 -0-81 111.28. 7-27 111.42.59-00 4-08 9 Moon's U. L. . . 72.31.11-20 29'82 53-00 3. 0-73 54. 1-36 51.22-95 -0-72 110.14. 9-87 110.28.5609 4-05 11 Moon's U. L. . . 67. 30. 56-20 29-50 51-50 2.17-14 54. 6-00 49. 49-81 17 before 2-29 0-28 105. 14. 42-40 105. 29. 29-88 4-02 13 Moon's U. L. . . 59. 46. 50-50 30-05 49-50 1.40-01 54. 42-32 47. 5-81 15 before 2-68 -0-15 97. 32. 43-05 97. 47. 40-49 3-99 15 Moon's U. L. . . 50. 28. 51-20 29-92 53-50 1. 9-86 55. 54-92 42. 56-43 19 before -3-70 -1-0-04 88. 18.21-82 88.33.39-17 3-97 16 Moon's U. L. . . 45. 38. 6-00 29-95 53-50 0.59-01 56.44-17 40.21-51 16 before 3-07 + 0-15 83.30. 1-26 83.45.32-11 395 July 4 Moon's U. L. . . 73. 31. 55-40 29-82 55-50 3. 1 1-25 54. 23-39 52. 0-88 0-81 111. 14.26-61 111.29.18-87 3-84 5 Moon's U. L. . . 73. 47. 57-30 29-82 58-50 3. 13-30 54. 8-33 51.50-77 20 after + 0-20 0-36 111.30.41-32 111.45.29-45 3-84 7 Moon's L. L. ( d ) Moon's U. L. () 71.44.47-80 71.15. 4-70 29-67 50-50 2. 52-76 2. 47-97 53. 57-21 53. 57-21 51. 5-72 50. 56-54 0-68 109. 27. 56-56 108. 58. 17-70 109.13.11-48 109. 13. 2-78 3-84 9 Moon's U. L. . . 65.14. 6-10 29-85 50-50 2. 4-91 54. 9-36 49. 0'80 18 before -2-73 -0-26 102.58.28-59 103. 13. 17-00 3-84 11 Moon's U. L. . . 56. 53. 16-40 30-30 50-50 1. 29-94 54. 46-88 45. 42-32 14 before -2-59 0-11 94. 40. 22-40 94.55.21-09 3-85 JO Moon's U. L. . . 52. 14 4-60 30-20 54-50 1. 14-92 55. 16-40 43. 30-39 15 before 2-87 o-oo 90. 3. 7-17 90. 18. 13-95 3-86 13 Moon's U. L. . . 47. 28. 38-60 30-15 54-50 1. 3-22 55. 52-92 40. 59-32 19 before 3-61 + 0-08 85.19.59-71 85.35.16-51 3-86 29 Moon's U. L. . . 68.41.58-00 29-94 74-00 2.21-08 55. 53-27 51. 54-59 -0-54 106. 23. 45-43 106.39. 2-33 3-96 The Moin's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. Tlie N. P. I), is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. "0 - p = 38. 31'. 20" : 91 : q = 2" '03. (") Observed at Transit of 1 L. ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 1*'08. (") Observed Z. D. increased 2 Verniers. ( d ) Observed at Transit of 1 L. Correction applied for defective illumination, -f 0*'81. (') Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter == 5*' 85. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and of Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (77) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.2tf. 1770. Aug. 3 Moon's U. L. O 1 It 71.52.50-10 30-15 o 59-50 / // 2. 53-68 / // 54. 0-58 / // 51.11-06 17 after it + 1-30 t 0-37 O ' /' 109. 35. 55-24 o / '/ 109. 50. 41-24 n 4-02 4 Moon's U. L. . . 69. 33. 22-00 30-20 60-50 2. 32-80 54. 2-39 50. 29-02 24 after + 2-70 0-25 107.16.49-74 107.31.36-24 4-03 5 Moon's U. L. . . 60. 26. 15-30 30-13 61-50 2. 10-34 54. 10-24 49. 29-66 16 before 2-27 0-87 104. 10. 14-25 104.25. 2-90 4-04 7 Moon's U. L. . . 58. 24. 44-30 30-07 62-50 1. 32-36 54. 41-64 46. 24-80 -0-27 96. 11. 12-72 96.26. 9-97 4-06 9 Moon's U. L. . . 49. 6.34-50 29-75 63-50 1. 4-88 65.32-18 41.47-36 16 before 3-04 40-05 86.57. 9-83 87. 12. 20-94 4-08 10 Moon's U. L. . . 44. 25. 38-70 29-82 57-50 0. 55-88 56. 4-58 39. 3-15 20 before 3-65 -I-0-12 82. 18. 48-54 82.34. 8-54 4-10 11 Moon's U. L. . . 40. 0. 7-40 29-94 52-00 0. 48-59 56. 41-74 36. 14-27 23 before -3-83 + 0-17 77. 55. 58-55 78. 11.28-74 4-11 12 Moon's U. L. . . 36. 4.35-60 29-96 54-50 0.42-01 57. 23-47 33. 35-03 21 before -2-96 + 0-23 74. 3. 0-20 74. 18.41-82 4-12 14 Moon's U. L. 30. 51. 35-50 29-79 63-00 0. 33-68 58. 54-45 29. 59-80 17 before 0-97 + 0-37 68. 53. 28-96 69. 9.35-52 4-14 29 Moon's U. L. . . 73. 20. 47-00 30-13 57-50 3. 10-24 54.21-93 51. 56-45 -0-77 111. 3.21-66 111. 18. 13-52 4-26 30 Moon's U. L. . . 72. 18.32-10 30-07 59-50 2. 57-l 54. 9-82 51.27-35 0-72 110. 1.23-25 110. 16. 11-78 4-27 31 Moon's L. L. . . 70. 49. 22-90 30-02 56-50 2.43-91 54. 7-49 50. 58-53 0-63 108. 32. 29-21 108. 17.41-31 4-27 Sep. 1 Moon's L. L. 68. 0.54-70 29-89 55-50 2.21-24 64. 13-73 50. 7-96 0-54 105. 44. 28-90 105. 29. 39-29 4-28 3 Moon's U. L. 59.55.41-30 29-72 56-50 1.38-08 54. 45-85 47. 13-08 0-27 97.41.27-21 97. 56. 25-62 4-28 4 Moon's U. L. . . 55.27. 8"20 29-68 55-50 1. 22-63 55. 9-21 45. 14-63 27 after + 5-07 0-05 93.14.42-24 93. 29. 47-05 4-29 7 Moon's U. L. . . 41.29. 8-00 29-60 54-00 0. 50-41 56. 34-66 37. 16-39 17 before -2-93 + 0-41 79.24. 0-04 79. 39. 28-28 4-30 8 Moon's U. L. 37. 23. 36-70 29-69 52-00 0. 43-89 57. 6-17 34. 28-06 22 before 3-27 + 0-22 75.21. 9-88 75. 36. 46-76 4-30 10 Moon's U. L. . . 31.37.20-10 29-48 52-50 0. 35-08 58. 10-81 30. 17-31 15 before -1-07 + 0-40 69. 38. 57-40 69. 54. 52-00 4-30 12 Moon's U. L. . . 30. 43. 58-20 29-20 54-00 0. 33-45 59. 12-63 30. 2-30 19 before +0-75 + 0-34 68. 45. 50-61 69. 2. 2-16 4-29 13 Moon's L. L. 33. 0.41-60 29-72 66-50 0. 37-01 59. 37-97 32.16-11 20 before + 1-96 + 0-32 71. 0.25-03 70.44. 6-54 4-29 28 Moon's L. L. 69. 0. 3-30 30-09 5750 2.28-82 64. 13-90 50. 28-77 24 after + 2-83 0-19 106. 43. 27-48 106. 28. 37-83 4-18 29 Moon's L. L. 65. 47. 16-30 30-18 53-50 2. 8-74 54. 23-85 49. 27-25 20 after + 2-92 -0-24 103.31.21-85 103. 16.29-47 4-17 30 Moon's L. L. 61.58. 2-10 30-01 57-50 1.4742 54.42-70 48. 7-54 -0-32 99.43. 2-91 99.28. 5-36 4-15 Oct. 2 Moon's L. L. 53. 4. 7-50 30-26 49-50 1.18-15 55. 39'24 44. 18-10 o-oo 90. 52. 28-49 90. 37. 15-44 4-12 3 Moon's L. L. 48. 19. 51-60 30-16 45-50 1. 6-37 66. 13-04 41. 47-99 + 0-18 86. 10. 30-93 85.55. 8-62 4-09 4 Moon's U. L. . . 43. 9.26-20 30-05 48-50 0. 54-87 56. 47-35 38. 38-35 19 after + 3-41 + 0-13 81. 3. 685 81. 18. 38-57 4-08 10 Moon's L. L. 32. 32. 17-90 29-88 43-50 0. 37-53 59. 7-44 31. 34-94 14 before + 1-11 + 0-42 70. 32. 42-25 70.16.32-12 3-98 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's yO p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 3 i'. 20" -91 : q = 2" '03. (78) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal i'arallax. Parallax. Interval at which Observa- tion was made before or after the bright Li M lit passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at . Transit of 1 L. or 2 L. Tabular 3bli']uity of Ecliptic. 23. 28'. 1770. Oct. 11 Moon's L. L. o / n 35. 9. 15-30 in. 29-80 o 50-50 / // 0. 40-72 / // 59. 15-15 / n 33. 53-92 8 16 before a + 2-09 // + 0-34 I li 73. 7.24-85 O I II 72. 51. 12-61 // 3-95 13 Moon's L. L. . . 43. 28. 16-80 29-50 39-50 0. 55-48 59. 14-83 40. 33-03 + 0-31 81.20. 0-16 81. 3.48-01 3-91 25 Moon's L. L. 69. 56. 55-60 29-48 46-50 2.36-71 54. 14-06 50. 47-93 0-60 107.40. 5-31 107.25.15-62 3-64 27 Moon's L. L. 63.29.37-10 29-59 39-50 1.57-28 54. 26-93 48. 33-75 0-41 101.14.21-53 100. 59. 28-30 3-58 28 Moon's L. L. 59. 26. 22-90 29-64 37-50 1.39-78 54. 49-44 47. 2-20 0-27 97. 12.21-37 96. 57. 21-98 3-55 29 Moon's L. L. . . 55. 0.44-10 29-47 40-50 1. 23-25 55.20-77 45. 9-71 14 after + 2-60 -0-05 92. 48. 21-20 92.33. 13-22 3-52 30 Moon's L. L. 50.21.54-00 29-41 41-00 1.10-17 55. 59-40 42. 55-68 + 0-09 88. 11.29-43 87.56.10-85 3-49 31 Moon's L. L. 45. 40. 40-70 29-79 36-50 1. 0-89 56. 42-26 40. 22-09 +0-27 83. 32. 40-45 83. 17. 10-13 3-40 Nov. 1 Moon's L. L. 41. 11. 11-20 29-94 34-00 0. 52-58 57. 26-48 37.37-16 17 after + 2-89 + 0-23 79. 5.50-27 78. 50. 7-83 3-44 2 Moon's U. L. . . 36. 38. 23-90 30-02 39-50 0. 44-31 58. 8-25 34. 28-98 13 after + 1-87 + 0-33 74.36. 1-80 74.51.55-70 3-41 4 Moon's U. L. . . 31.22. 4-00 29-86 42-50 0.35-91 59.11-91 30. 35-68 22 before 1-23 + 0-29 69. 23. 23-49 69. 39. 34-84 335 6 Moon's L. L. 32. 5. 5-50 29-32 39-00 0. 36-53 59. 35-01 31.25-75 17 before + 1-07 +0-37 70. 5.37-94 69. 49. 20-25 3-29 9 Moon's L. L. 42. 7. 13-70 28-84 43-00 0.51-3(5 59. 4-69 39. 24-66 19 before -t-3-61 + 0-17 80. 0. 4-74 79. 43. 55-37 3-20 10 Moon's L. L. 47. 0.16-60 29-41 40-50 1. 2-43 58. 44-44 42. 45-48 15 before + 3-07 + 0-15 84. 49. 57-50 84. 33. 53-68 3-17 23 Moon's L. L. 64. 58. 27-30 29-36 47-50 2. 2-17 54. 9-95 48. 55-27 23 after + 3-39 -0-17 102. 42.58-78 102.28. 10-21 2-84 24 Moon's L. L. 61. 9. 2-60 29-33 43-50 1.44-45 54.22-13 47. 27"22 27 after + 4-48 0-09 98. 54. 45-44 98. 39. 53-53 2-81 25 Moon's L. L. 50. 55. 57-80 28-95 48-50 1.26-43 54. 45-26 45. 42-51 15 after 4-2-68 -o-io 94. 43. 5-38 94.28. 7-13 2-78 26 Moon's L. L. 52. 26. 51-70 28-61 36-00 1. 14-30 55. 18-77 43. 39-94 o-oo 90. 15. 46-98 90. 0. 39-55 2-76 27 Moon's L. L. 47. 50. 46-70 29-38 34-50 1. 5-04 50. 1-03 41.20-45 -1-0-22 85.41.52-27 85. 20. 33-08 2-73 28 Moon's L. L. . . 43. 18.31-40 29-80 31-50 0. 56-67 56.51-62 38.47-99 17 after -r-2-99 + 0-18 81. 12. 3-85 80. 56. 30-90 2-72 30 Moon's L. L. 35. 26. 24-60 29-89 37-50 0. 42-40 58. 33-09 33.47-07 19 after + 2-42 + 0-25 73. 24. 42-93 73. 8.40-85 2-67 Dec. 1 Moon's L. L. . . 32. 45. 39-40 30-03 38-50 0. 38-44 59. 25-42 31.50-23 + 0-72 70. 45. 42-57 70. 29. 27-52 2-64 3 Moon's L. L. 31.32.19-30 29-89 39-50 0. 36-41 60. 24-20 31.22-35 15 before +0-56 + 0-40 69. 32. 54-52 69. 16. 23-36 2-59 4 Moon's L. L. . . 33. 16. 12-00 29-93 33-00 0.39-51 00.29-71 32. 57-86 17 before + 1-69 + 0-37 71.15.15-97 70. 58. 43-30 2-57 5 Moon's L. L. 36. 23. 39-60 29-17 44-00 0. 42-28 60.19-18 35.34-14 19 before +2-86 + 0-25 74.20.11-21 74. 3.41-43 2-56 7 Moon's L. L. 45. 24. 49-70 29-68 34-50 1. 0-36 59. 22-64 42. 4-74 22 before + 4-51 -r-0-11 83. 15. 10-61 82. 58. 56-32 2-52 8 Moon's L. L. . . 50.33. 13-30 29-67 32-50 1.12-55 58.44-70 46. 9-84 17 before + 3-56 + 0-06 88. 20. 40-48 88. 4.36-59 2-50 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. L>. is formed by adding Olufsen's 90 p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -91 : q = 2" '03. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (79) Year, Month,, and Day. Name of Object. Quadrant Reading. B.iro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L.orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1770. Dec. 9 Moon's L. L. O / /' 55. 40. 24-70 in. 29-65 o 27-50 1.28-23 58. 5-46 47. 47-06 ' " II 0-13 O / // 93.25.26-77 O 1 II 93. 9.33-64 II 2-48 10 Moon's L. L. 60. 30. 19-30 29-84 26-50 1. 47-30 57. 27-00 49. 49-61 20 before + 3-68 0-12 98.13.41-75 97. 57. 59-16 2-47 11 Moon's L. L. 64. 49. 49-20 29-55 41-50 2. 3-71 56. 50-59 51. 16-72 17 before +2-70 -0-23 102.32. 0-01 102. 16.27-41 2-45 22 Moon's L. L. 58.41.35-50 29-88 34-50 1. 38-29 54. 15-52 46. 11-23 -0-27 96. 28. 23-43 96. 13. 33-33 2-34 23 Moon's L. L. 54.21.35-10 29-38 43-50 1.20-52 54. 37 20 44. 12-52 0-09 92.10. 4-00 91.55. 7-96 2-33 29 Moon's L. L. . . 31.59. 11-00 29-51 44-00 0. 36-25 59. 36-15 31.21-14 +0-72 69. 59. 47-05 69. 43. 29-06 2-30 30 1771. Jan. 3 Moon's L. L. Moon's L. L. 31.16. 17-20 43. 10. 50-00 29-42 29-34 46-50 34-50 0. 34-96 0. 55-20 60. 24-88 60.41-40 31. 824 41. 18-82 + 0-76 + 0-36 69. 17. 4-87 81. 1.47-33 69. 0.33-52 80.45.11-45 2-30 2-29 4 Moon's L. L. 48. 25. 23-00 29-35 33-50 1. 6-44 60. 1-16 44.41-44 -r-0-18 86. 13. 8-96 85.56.44-11 2-29 6 Moon's L. L. . . 58. 49. 51-30 29-92 25-50 1. 40-87 58.18-59 49. 42-53 0-27 96. 33. 10-51 96. 17, 13-77 2-30 7 Moon's L. L. 63. 24. 37-90 29-69 25-50 2. 0-79 57. 26-48 51.11-67 20 before + 3-40 0-16 101. 6.51-56 100.51. 9-12 2-30 9 Moon's L. L. 70. 18. 55-00 29-57 24-50 2.47-97 55. 56-87 52.31-61 -0-63 108. 0.32-27 107. 45. 14-39 2-30 25 Moon's L. L. 33. 1. 19-50 29-82 39-50 0. 38-47 58. 17-19 31.32-95 + 0-68 71. 1.45-95 70. 45. 49-61 2-44 27 Moon's L. L. 31.35. 1-30 29-65 32-50 0. 36-72 60. 11-62 31.18-23 21 after 0-61 + 0-30 69. 35. 39-68 69. 19.11-96 2-46 2!) Moon's L. L. 36. 9.44-00 29-74 32-50 0. 43-78 61.21-61 35. 58-95 + 0-54 74. 5.49-72 73.49. 2-82 2-49 Feb. 1 Moon's L. L. 51. 1.58-60 29-79 39-50 1. 13-01 60. 34-50 46.53-51 19 before + 4-20 + 0-04 88.47.43-21 88.31. 9-22 2-52 2 Moon's L. L. 56. 26. 17-40 30-02 41-50 1.29-25 59.44-18 49. 35-05 20 before + 4-19 0-08 94. 9.36-77 93. 53. 16-58 2-53 4 Moon's L. L. 65.43. 9-10 30-12 37-50 2. 12-40 57.46-12 52. 29-45 18 before +2-79 0-26 103. 24. 15-96 103. 8.28-13 2-56 19 Moon's L. L. 40. 26. 13-70 30-13 40-50 0. 50-84 55. 45-07 35. 57-60 + 0-45 78.22.27-89 78. 7. 13-24 2-72 20 Moon's L. L. 36.54. 22-10 29-83 43-00 0.44-14 56. 22-95 33.39-11 + 0-54 74. 52. 48-05 74. 37. 23-01 2-74 21 Moon's L. L. 34. 5. 49-80 29-74 36-50 0. 40-21 57. 6-82 31.48-47 19 after + 1-79 + 0-29 72. 6. 3-91 71.50.26-85 2-74 22 Moon's L. L. 32.15.49-50 29-67 40-50 0.37-10 57. 55-58 30. 42-50 20 after + 1-03 + 0-32 70.17. 5-68 70. 1. 15-26 2-75 23 Moon's L. L. 31. 38. 18-60 29-65 41-50 0.36-11 58. 46-94 30. 37-06 17 after -0-01 + 0-37 69. 39. 38-21 69.23.33-71 2-75 24 Moon's U. L. . . 31.50.44-50 29-52 44-50 0. 36-02 59. 37-32 31. 14-23 -t-0-72 69.51.27-22 70. 7. 45-54 2-76 26 Moon's U. L. . . 37. 33. 15-60 29-84 43-50 0.45-15 60. 52-74 36. 52-98 + 0-54 75.28.28-71 75. 45. 7-70 2-78 27 Moon's TJ. L. 42. 8.20-40 29-86 43-50 0.53-16 61. 7-48 40. 47-37 + 0-36 79. 59.47-11 80. 16.30-13 2-79 Mar. 24 Moon's U. L. . . 33. 14.41-90 29-82 26-50 0. 39-88 59. 7-60 32.11-73 + 0-63 71.14.30-94 71.30.41-11 2-73 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38.31'.20"-91 : q = 2" '03. (80) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular iorizontal x|uatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- ion for 2nrva- ure of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 23.28'. 1771. Mar. 28 Moon's U. L. . . o / // 50. 8.30-80 in. 29-79 o 29-50 / n I. 12-25 / // 60. 20-90 / a 46. 7-02 I 14 after // 3-02 + 0-05 O ' H 87. 54. 53'90 o / a 88.11.24-16 1 2-68 29 Moon's U. L. . . 55. 29. 26-80 29-90 28-50 1.28-18 60. 5-70 49. 19-28 0-18 93. 12. 56-54 93. 29. 22-63 2-67 Apr. 3 Moon's L. L. 72.40. 3-30 29-96 31-50 3.11-66 56. 20-71 53. 38-40 24 before + 0-69 0-26 110.20.58-61 110. 5.34-19 2-58 4 Moon's L. L. 72. 46. 52-00 29-80 32-50 3.11-53 55. 35-42 52. 57-26 3 before 0-05 0-65 110.28.27-19 110. 13. 15-20 2-56 9 Moon's U. L. . . 59. 50. 15-70 29-86 38-50 1.41-91 54. 13-97 46. 43-05 19 before 3-08 0-13 97. 36. 32-53 97.51.22-20 2-47 25 Moon's U. L. . . 53. 16. 39-90 29-90 42-50 1.18-94 59.27-11 47. 27-13 20 after -4-14 0-04 91. 1.48-48 91.18. 3-99 2-11 26 Moon's U. L. . . 58. 20. 50-00 30-11 39-50 1. 36-70 59. 13-02 50. 13-02 38 after 7-40 0-04 96. 3.27-36 96. 19. 39-02 2-08 28 Moon's L. L. ( m ) 67. 25. 45-80 29-73 41-50 2. 20-51 58. 16-54 53. 38-79 13 after -1-79 0-33 105. 5.46-84 104. 49. 50-67 2-02 May 2 Moon's U. L. . . 71.48. 6-50 29-96 35-50 3. 0-60 55. 32-70 52. 36-97 22 before 0-89 -0-29 109.29.50-54 109.45. 1-79 1-92 3 Moon's U. L. (") 70. 18. 21-10 29-95 40-50 2. 44-34 54 59-33 51. 37-16 108. 0.49-82 108. 15. 51-93 1-89 8 Moon's U. L. . . 53. 8.42-30 29-67 54-50 1. 16-06 54. 38-33 43. 32-05 0-05 90. 57. 47-20 91. 12. 43-54 1-75 19 Moon's U. L. . . 37. 36. 37-50 29-99 62-00 0. 43-79 59. 21-25 36. 0-28 + 0-54 75. 32. 41-95 75. 48. 55-86 1-48 21 Moon's U. L. . . 46. 32. 50-50 29-90 65-50 0. 59-36 59. 12-40 42. 46-23 + 0-27 84. 22. 24-61 84.38.36-10 1-43 23 Moon's U. L. . . 56. 36. 46-7( 30-10 60-50 1. 26-65 58. 43-76 48. 50-64 0-18 94. 20. 43-59 94. 36. 47 23 1-38 24 Moon's U. L. . . 61.19.27-30 29-93 57-50 1.44-31 58.22-7C 51. 2-10 26 after 4-61 0-12 99. 1. 26-01 99. 17. 23-87 1-37 25 Moon's U. L. . . 65. 26. 47-00 29-73 53-50 2. 4-85 57. 57-0 52. 32-21 17 after 2-53 0-28 103. 7.38-20 103. 23. 29-01 1-34 26 Moon's U. L. . . 68.44. 50-10 29-61 59-50 2. 23-97 57. 27-49 53.23-17 77 after -8-68 0-03 106.25. 3-67 106. 40. 46-39 1-31 27 Moon's U. L. . . 71. 1.28-80 29 '57 50-50 2. 45-30 56. 54-96 53. 39-97 42 after 2-94 0-06 108.41.52-69 108. 57. 26-50 1-29 28 Moon's TJ. L. . . 72.10. 16-10 29-93 45-50 3. 0-49 56. 20-78 53. 29-29 0-72 109. 51. 8-18 110. 6.32-62 1-27 30 Moon's TJ. L. . . 71. 5.34-20 29-71 46-50 2.48-10 55. 15-4:5 52. 7-42 ! 12 before -0-77 0-46 108. 47. 35-21 109. 2.41-73 1-22 June 1 Moon's U. L. . . 66. 17. 18-20 29-76 44-50 2. 12-37 54. 28-45 49. 42-89 0-54 104. 1. 8-54 104. 16. 2-18 1-19 r Moon's U. L. . . 42. 13. 20-70 30-08 57-50 0.52-19 55. 48-77 37. 18-2b 12 before -1-92 + 0-23 80. 8.13-48 80.23. 29-14 1-08 20 Moon's U. L. . . 59.50.44-10 30-05 62-50 I. 37-6P 58.21-83 50. 16-77 1 19 after 3-47 0-13 97. 33. 22-57 97.49.20-20 0-93 21 Moon's U. L. . . 64. 8 16-30 30-06 59-50 1.57-59 57. 49-OS 51.51-Of ' 14 after -2-20 0-26 101.49.41-70 102. 5. 30-33 0-92 22 Moon's U. L. . . 67. 40. 53-00 30-11 51-50 2.21-1 57. 16-22 52. 48-8f 0-54 105.21.46-16 105.37.25-79 0-92 25 Moon's U. L. 72. 18. 28-40 30-03 54-50 2.59-18 55. 42-9S 52. 55-80 . 0-7-2 109. 59. 52-66 110.15. 6-73 0-90 28 Moon's U. L. . . 67. 32. 47-50 29-80 47-50 2. 19-89 54. 30 -li 50. 13-3C 15 before -1-77 0-30 105.16.13-46 105.31. 7-73 0-90 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. V. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olulsen's 90-p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -91 : q = 2" '03. () Observed 13' after Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 9"' 38. (") Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = 5""25. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," " Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAB DISTANCE. (81) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made Before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1771. June 29 Moon's U. L. . . o / // 64.23.38-10 in. 29-87 o 46-50 / // 2. 1-37 * // 54. 16-14 / // 48. 46-50 a 12 before a 1-70 II 0-29 o / a 102. 8. 12-32 o / a 102.23. 2-59 II 0-88 July 3 Moou's U. L. . . 48. 16. 12-80 30-03 48-50 1. 5-53 54. 37-97 40. 34-83 11 before -1-87 + 0-12 86. 8. 2-52 86. 22. 58-78 0-89 16 Moon's D. L. . . 53. 6. 5-10 30-03 76-50 1. 13-57 59. 49-63 47. 38-42 0-05 90.51. 1-14 91. 7.22-83 0-93 17 Moon's U. L. . . 58. 8.41-90 29-95 73-50 I. 29-08 59. 7-51 50. 1-67 0-27 95.51.30-16 96. 7.40-31 0-94 19 Moon's U. L. . . 66. 31. 20-00 29-48 62-50 2. 7-78 57. 36-82 52. 40-46 0-54 104.12. 8-20 104. 27. 53-48 0-96 21 Moon's U. L. . . 71.21.20-10 29-90 64-50 2. 45-80 56. 15-69 53. 9-26 0-68 109. 2.16-53 109. 17. 39-57 0-97 22 Moon's U. L. . . 72. 10. 48-60 30-03 63-50 2. 54-62 55. 41-73 52. 52-35 13 after 0-16 0-44 109. 52. 11-87 110. 7.25-61 0-99 23 Moon's U. L. . . 71.55.37-80 30-17 61-50 2. 53-57 55. 12-54 52.20-10 0-72 109. 37. 32-14 109. 52. 37-87 0-99 24 Moon's U. L. . . 70.40. 4-80 29-94 59-50 2.41-10 54. 48-05 51. 33-53 0-63 108. 22. 33-29 108. 37. 32-30 1-00 27 Moon's U. L. . . 62.10. 4-70 29-87 53-50 1. 48-70 54. 4-01 47. 38-65 8 before 1-21 0-27 99. 55. 34-53 100.10.21-47 1-03 28 Moon's U. L. . . 58. 18. 18-50 29-93 55-50 1. 32-85 54. 0-39 45.46-61 21 before -3-43 0-11 96. 5.22-33 96.20. 8-28 1-05 29 Moon's LT. L. . . 54.11.28-60 30-14 49-50 1. 21-08 54. 3-56 43. 39-55 27 before 4-58 0-03 92. 0.26-50 92. 15. 13-32 1-06 31 Moon's U. L. . . 45. 48. 25-40 29-63 48-50 0. 59-33 54. 33-96 38. 55-76 16 before 2-62 + 0-15 83.41.47-19 83. 56. 42-34 1-08 Aug. 1 Moon's U. L. . . 41. 50. 10-40 29-87 45-50 0. 52-40 55. 2-66 36. 30-92 19 before 2-89 + 0-17 79. 45. 49-71 80. 0. 52-73 1-10 4 Moon's U. L. . . 32.58.28-10 29-95 56-50 0. 37-25 57. 22-27 31. 0-73 65 before 4-58 o-oo 70. 59. 20-29 71. 15. 1-58 1-14 20 Moon's U. L. . . 71. 0.41-90 29-58 58-50 2. 42-55 54.55-12 51.46-70 0-68 108. 42. 58-63 108. 57. 59-58 1-32 21 Moon's L. L. 69. 40. 50-20 29-80 55-50 2. 33-32 54. 31-33 50. 58-78 0-59 107.23.45-67 107. 8.51-24 1-33 27 Moon's U. L. . . 47. 18. 12-30 29-90 54-50 1. 2-44 54. 18-46 39. 43-31 -I-0-22 85.10.52-39 85. 25. 43-30 1-39 28 Moon's U. L. . . 43. 17. 32-30 29-97 60-50 0. 53-66 54. 37-75 37. 15-79 10 before 1-54 + 0-19 81.12.29-42 81. 27. 25-61 1-40 29 Moon's U. L. . . 39. 36. 0-20 29-99 55-50 0. 47-64 55. 4-12 34. 54-05 20 before 2-76 + 0-20 77. 33. 11-70 77.48.15-12 1-41 30 Moon's U. L. . . 36. 24. 49-50 29-79 55-50 0. 42-20 55.38-14 32. 49-24 17 after + 1-95 + 0-89 74.24. 5-66 74. 39. 18-41 1-42 Sep. 14 Moon's U. L. . . 71. 17. 20-80 29-81 56-50 2. 47-05 57. 0-63 53. 50-45 0-68 108. 57. 38-29 109. 13. 13-65 1-46 15 Moon's U. L. . . 71.47.37-20 29-91 55-50 2. 52-85 56. 8-66 53. 10-84 0-72 109.28.40-08 109.44. 1-20 1-46 17 Moon's L. L. 70. 11. 37-90 29-99 50-50 2. 40-20 54. 50-74 51. 27-12 20 after + 1-61 0-28 107. 54. 13-84 107. 39. 14-09 1-46 18 Moon's L. L. 67.51. 6-60 29-87 49-50 2.21-74 54. 26-02 50. 15-80 12 after + 1-34 0-35 105. 34. 34-99 105. 19.42-02 1-45 19 Moon's L. L. 64. 50. 50-90 29-77 57-50 2. 0-69 S4. 10-17 48. 52-40 10 after + 1-35 0-31 102. 35. 21-58 102. 20. 32-95 1-45 2( Moon's L. L. .. 61.19.55-60 29-64 54-50 1. 43-97 54. 2-43 47. 14-97 10 after + 1-53 0-19 99. 5.47-17 98.51. 0-66 1-44 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. V. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's yO' p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -91 : q = 2" '03. GREENWICH LUNAR REDUCTIONS. (M) (82) REDUCTION OF GREENWICH LTJX.VR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridiau. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1771. Sep. 2-2 Moon's L. L. . . o / 53.21. 15-80 in. 29-76 o 56-50 / u I. 16-56 / u 54. 7-55 / // 13. 14-80 a // // 0-05 o / // 91.10.38-46 O 1 II 90. 55. 50-55 II 1-42 25 Moon's U. L. . . 40. 48. 49-00 30-11 43-50 0. 51-17 54. 55-21 35.41-77 10 before 1-43 + 0-25 78. 45. 17-73 79. 0. 18-70 1-40 30 Moon's U. L. . . 32. 26. 53-60 29-92 46-50 0. 37-22 57. 49-43 30.4861 66 before + 2-49 + 0-01 70.28. 4-94 70. 43. 53-68 1-35 Oct. 1 Moon's L. L. 34. 33. 20-40 29-95 39-50 0. 40-94 58. 35-47 33. 1-08 10 before + 0-88 + 0-44 72.32.21-88 72.16.20-51 1-33 14 Moon's L. L. 70. 45. 16-00 29-17 50-50 2. 40-64 55. 31-63 52. 16-43 0-63 108. 27. 1-13 108. 11. 50-17 1-13 15 Moon's L. L. 68. 40. 38-90 29-15 46-50 2. 25-06 54. 54-98 51. 0-24 0-54 106. 23. 24-66 106. 8.23-75 Ml 16 Moon's L. L. 65.53. 18-00 29-81 42-50 2. 10-69 54. 28-68 49.34-01 0-50 103. 37. 15-57 103.22.21-87 1-09 20 Moon's L. L. 50. 38. 50-60 30-25 44-50 1. 12-37 54. 21-58 41. 50-94 + 0-09 88. 29. 32-98 88. 14.41-2-2 0-1J9 21 Moon's L. L. 46. 32. 3-90 29-87 50-50 1. 1-10 54. 38-65 39.28-11 + 0-27 84. 24. 57-87 84. 10. 1-44 0-98 22 Moon's L. L. 42. 36. 45-30 29-87 48-50 0. 53-51 55. 0-71 37. 2-89 + 0-36 80.31.56-86 80. 16.54-38 0-95 23 Moon's U. L. ( a ) 38. 33. 35-10 29-67 48-50 0. 46-07 55. 25-99 34. 20-99 26 after + 3-41 + 0-17 76.31.24-20 76. 46. 33-61 0-92 24 Moon's U. L. . . 35. 36. 13-90 29-97 46-50 0. 41-98 55.54-11 32. 20-30 12 before 1-24 + 0-35 73. 35. 55-03 73.51.12-16 0-90 27 Moon's U. L. . . 32. 17. 18-60 30-16 44-50 0. 37-44 57. 25-29 30. 27-63 65 before + 1-51 +0-01 70.18.50-16 70. 34. 32-28 0-83 28 Moon's L. L. 34. 0. 32-90 30-05 48-50 0. 39-50 57. 56-88 32.11-91 65 before + 4-68 o-oo T2. 0.25-45 71.44. 34-67 0-80 29 Moon's L. L. 36. 21. 27-20 30-25 43-50 0. 43-83 58.28-14 34. 26-87 64 before + 7-56 o-oo 74. 19. 12-08 74. 3. 12-73 0-77 30 Moon's L. L. 39. 44. 28-90 30-46 33-50 0. 50-19 58.58-18 37. 29-25 16 before + 2-51 + 0-24 77. 39. 13-07 77.23. 5-49 0-73 31 Moon's L. L. 43. 57. 23-70 30-22 33-50 0. 58-54 59. 25-20 41. 2-01 18 before + 3-32 + 0-13 81.48.44-30 81.32.29-31 0-71 Nov. 13 Moon's L. L. 63. 56. 46-70 29-90 41-50 2. 0-37 54. 32-85 48. 50-55 0-40 101.41.17-44 101. 26. 22-60 0-39 18 Moon's L. L. 44. 10. 16-30 30-49 35-50 0. 59-25 54. 57-31 38. 5-91 4- 0-27 82. 4.30-54 81.49. 28-99 0-26 19 Moon's L. L. 40. 26. 35-90 30-28 40-50 0.51-11 55. 26-90 35.46-15 + 0-45 78. 23. 1-81 78. 7.52-14 0-23 21 Moon's L. L. 34. 40. 52-60 30-32 32-50 0. 42-26 56. 35-94 31.59-87 20 after + 1-69 + 0-28 72. 40. 57-27 72. 25. 28-68 0-18 27 Dec. 10 Moon's L. L. Moon's L. L. 42. 32. 40-80 65. 30. 33-10 30-15 29-55 39-50 45-50 0. 54-90 2. 6-51 59. 2-55 54. 55-82 39. 42-69 49. 49-67 19 before + 3-34 + 0-17 0-50 80. 25. 17-09 103. 14. 10-81 80. 9. 8-30 102.59. 9-67 0-04 23. 27'. 59-81 11 Moon's L. L. . . 62. 2. 9-40 29-59 49-50 1.47-97 54.31-52 47. 59-55 0-36 99. 47. 18-72 99. 32. 24-24 59-80 12 Moon's L. L. 58.12. 9-90 29-70 44-50 1. 33-87 64.16-75 45. 57-62 20 after + 3-22 0-12 95. 59. 10'37 95.44.19-93 59-79 13 Moon's L. L. 54. 9. 50'90 29-89 38-50 1.22-18 54. 12-41 43. 45-97 16 after + 2-65 0-05 91. 58. 50-69 91.44. 1-45 59-78 16 Moon's L. L. . . 42. 9.13-70 28-87 39-50 0.51-85 55. 6-35 36. 46-44 + 0-36 80. 4.40-03 79. 49. 36-28 59-73 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -91 : q = 2" '03. ( a ) Observed 26 s after Transit of 1 L. Increase of N.P. D. during passage of Semidiameter = 8"' 40. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (83) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N P.O. of Center at Transit of 1 L. or 2 L. Tabular )bliquity of Ecliptic. 23.W. 1771. Dec. 17 Moon's L. L. o / " 38. 40. 56-60 in. 29-22 o 38-50 / // 0. 46-52 / a 55.41-77 / // 34. 36-47 8 ft It + 0-54 O / // 76. 38. 27-63 o / // 76. 23. 13-88 II 59-73 18 Moon's L. L. 35. 47. 34-30 29-45 33-50 0. 42-68 56. 24-41 32. 46-99 18 after + 1-83 + 0-26 73. 46. 52-42 73. 31. 26-99 59-72 20 Moon's L. L. 32. 42. 22-70 29-29 48-50 0. 36-65 57. 54-48 31. 4-54 20 after + 0-36 + 0-32 70. 43. 1 5-73 70. 27. 25-61 59-71 21 Moon's L. L. ( a ) 32. 55. 33-70 29-02 42-50 0. 37-07 58. 34-69 31. 37-46 + 0-68 70. 55. 54-24 70. 39. 53-09 59-70 23 Moon's L. L. 37. 12. 30-30 29-12 42-50 0.43-61 59. 28-47 35. 44-86 18 before + 2-42 + 0-26 75. 8.52-12 74. 52. 36-23 59-69 24 Moon's L. L. 40. 58. 37-20 29-33 35-50 0. 50-97 59. 38-75 38. 53-88 63 before +10-72 o-oo 78.52. 5-53 78. 35. 46-83 59-68 27 Moon's L. L. 55. 19. 11-40 29-79 34-50 1.26-19 59. 13-15 48. 30-28 17 before + 3-32 0-06 93. 3. 31-59 92. 47. 19-90 59-67 29 1772. Jan. 8 Moon's L. L. . . Moon's L. L. 64. 17. 28-00 59. 59. 53-80 30-12 28-79 31-50 32-50 2. 5-72 1.40-14 58. 29-50 54. 22-13 52.31-72 46. 54-85 20 before + 3-12 -0-20 0-27 101.58.26-25 97.46. 0-00 101. 42. 26-52 97.31. 8-09 59-68 59-69 13 Moon's L. L. 40. 22. 42-30 29-97 34-50 0.51-10 55. 1-40 35.26-85 + 0-45 78. 19. 27-50 78. 4.24-83 59-73 16 Moon's L. L. 33. 12. 21-60 28-87 29-50 0.38-31 57.21-62 31. 12-13 + 0-68 71.13. 8-72 70. 57. 27-61 59-75 28 Feb. 11 Moon's L. L. Moon's L. L. 71.17. 6-70 35. 59. 22-20 29-43 29-95 24-50 36-50 2. 56-37 0. 43-44 57. 4-58 55.30-11 53. 54-38 32. 24-71 19 before + T01 -0-29 -f-0-54 108. 57. 30-98 73.59. 1-82 108. 41. 54-54 73. 43. 51-28 59-91 23. 28' 0-09 13 Moon's L. L. . . 33. 2. 14-20 29-20 39-50 0. 37-69 57. 12-13 30. 58-49 20 after +0-41 + 0-32 71. 3. 14-38 70. 47. 35-86 0-11 15 Moon's U. L. 33. 59. 43-30 29-44 32-50 0. 39-99 59. 12-08 32. 52-90 + 0-63 71.58.51-30 72.15. 2-70 0-14 16 Moon's U. L. . . 36. 37. 43-30 29-32 36-50 0. 43-53 60. 6-06 35.38-19 + 0-54 74.34. 9-55 74. 50. 35-74 0-16 22 Moon's L. L. 65. 3.14-40 29-13 30-50 2. 6-08 59. 37-70 53. 53-42 20 before + 3-05 0-20 102.42.51-27 102. 26. 32-85 0-23 Mar. 14 Moon's TJ. L. . . 35.21. 7-20 29-72 27-50 0. 42-92 58.61-70 33. 50-40 22 after 2-28 + 0-22 73. 19. 17-99 73. 35. 23-80 0-33 20 Moon's L. L. 62.57.17-00 29-27 37-50 1.53-83 60. 51-80 54. 1-44 18 before + 3-11 0-18 100. 36. 33-60 100. 19. 54-87 0-31 22 Moon's L. L. 69. 37. 35-50 29-04 40-50 2. 33-68 59.11-81 55. 19-85 17 before + 1-55 0-28 107. 16. 12-11 107. 0. 0-79 0-29 23 Moon's L. L. 71.13.21-50 29-09 35-50 2. 49-67 58. 11-87 54. 56-67 13 before + 0-55 0-39 108. 52. 36-23 108.36.41-35 0-28 Apr. 12 15 Moon's U. L. . . Moon's U. L. . . 40.40. 8-80 55. 0. 18-10 29-25 29-61 48-50 43-50 0. 48-95 1.23-10 59. 18-85 61. 1-84 38. 26-30 49. 47-57 26 after -4-22 + 0-14 0-14 78. 33. 47-88 92. 43. 14-50 78.50. 1-14 92. 59. 55-98 0-01 23. 27'. 59-94 17 Moon's L. L. 64.51.43-10 29-79 34-50 2. 6-74 60. 47-17 54.51-02 64 before +10-10 o-oo 102. 30. 30-27 102. 13. 52-81 59-90 22 Moon's U. L. . . 69. 26. 13-90 30-12 37-50 2. 38-82 56.31-95 52. 46-30 12 before 0-89 0-40 107. 7.26-64 107. 22. 54-14 59-79 25 Moon's U. L. . . 60. 53. 36-80 30-10 41-50 1.46-52 54. 32-34 47. 28-80 12 before -1-77 -0-17 98.39.13-80 98.54. 8-51 59-71 26 Moon's U. L. . . 57. 9. 10-70 29-74 44-50 1. 30-28 54.12-11 45. 21-52 61 before 9-57 o-oo 94. 56. 30-97 95.11,20-13 59-68 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -91 : q = 2" "03. (") Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 2"'40. (M) 2 (84) KEDTJCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- neter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed tbe Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1772. O f It in. o , / i " B a It 1 It o / // " May 9 Moon's TJ. L. . . 39. 20. 20-20 30-02 45-50 0. 48-22 58.21-37 36. 46-74 30 after 4-4-2 + 0-11 77. 15.37-83 77. 31. 35-33 59-39 11 Moon's TJ. L. . . 47. 52. 30-10 29-83 46-50 1. 4-47 59. 31-87 43. 56-65 18 after 3-45 + 0-09 85. 40. 55-32 85. 57. 12- 14 59-34 12 Moon's TJ. L. . . 52. 45. 54-20 29-88 46-50 1. 16-80 59. 59-31 47. 33-41 - 0-05 90. 30. 58-47 90.47.22-81 59-32 13 Moon's TJ. L. . . 57. 40. 27-20 29-83 45-50 1.32-19 60. 17-17 50. 44-81 20 after 3-81 0-12 95. 22. 31-78 95.39. 1-02 59-29 14 Moon's TJ. L. . . 62. 15. 3-70 29-92 44-50 1. 51-30 60.21-61 53. 13-89 20 after -3-42 0-16 99. 54. 58-79 100. 11. 29- 24 59-26 15 Moon's TJ. L. . . 66. 8.40-90 30-07 46-50 2. 12-30 60. 11-08 54.51-92 14 after 1-94 0-32 103. 47. 20-41 104. 3.47- 97 59-24 16 Moon's TJ. L. (') 69. 2.19-10 30-08 49-50 2.31-52 59. 45-51 55. 38-06 18 after 1-70 0-26 106.40.32-09 106.56,52- 65 59-21 June 8 Moon's TJ. L. . . 51. 0.43-30 30-20 64-50 1.10-29 59. 16-10 45.51-83 18 after 3-47 o-oo 88.47. 19-16 89. 3.31- CO 58-79 11 Moon's (J. L. . . 64. 33. 56-80 30-19 60-50 2. 0-12 59. 31-77 53. 34-81 16 after -2-40 0-24 102. 13.40-80 102.29.57- 00 58-75 12 Moon's U. L. . . 67.51.32-00 30-25 52-50 2. 22-71 59. 19-88 54.47-10 18 after 2-04 0-26 105. 30. 26-76 105. 46. 40- 29 58-74 15 Moon's TJ. L. . . 70. 51. 57-70 29-88 55-50 2. 43-88 57. 48-65 54. 27-44 ISjaf ter + 0-41 0-4( 108.31.35-71 108. 47. 24- 23 58-71 17 Moon's TJ. L. . . 67. 7.59-00 30-00 57-50 2. 15-23 56. 22-92 51.47-18 18 before 2-03 0-26 104.49.46-19 105. 5.11- 2-2 58-69 18 Moon's TJ. L. . . 64. 3. 40-60 30-03 56-50 1. 57-80 55. 42-19 49. 55-34 15 before 2-07 0-25 101.47. 2-06 102. 2.15- 92 58-68 22 Moon's U. L. . . 48.36. 7-50 30-05 58-50 1. 5-01 54. 13-77 40. 29-38 62 before 9-83 o-oo 86. 27. 54-08 86. 42. 43- 70 58-66 23 Moon's TJ. L. . . 44. 43. 52-40 29-96 63-50 0. 56-06 54. 17-27 38. 0-72 22 before 331 +0-11 82. 38. 5-19 82. 52. 55- 70 58-66 24 Moon's TJ. L. . . 41. 7.48-90 30-04 65-50 0. 49-37 54. 31-46 35. 39-96 18 before -2-46 + 0-18 79. 4.16-56 79.19. 11- 02 58-65 25 Moon's U. L. . . 37. 56. 45-20 30-04 71-50 0. 43-57 54. 55-25 33.34-18 18 before 2-12 -f 0"2( 75.55.13-15 76. 10. 14- 13 58-65 July 22 Moon's TJ. L. (") 39.26. 7-90 30-11 58-50 0. 47-26 54. 33-24 34. 27 21 52 before 6-53 -r-0-06 77. 24. 6-91 77.39. 1- 80 58-79 Aug. 8 Moon's TJ. L. . . 70.56.11-20 29-81 65-50 2. 40-84 57. 26-51 54. 7-95 24 after 0-15 -0-23 108.36. 5-27 108.51.47- 7-2 59-03 9 Moon's TJ. L. . . 70.30. 2-40 29-97 60-50 2. 39-48 56. 53-70 53.28-41 24 after + 0-95 -0-23 108.10.35-73 108.26. 9- 19 59-04 10 Moon's U. L. . . 69. 1.16-20 29-95 60-50 2. 27-39 56. 21-30 52. 27-55 16 after + 1-29 0-29 106. 42. 38-53 106.58. 3- 11 59-06 11 Moon's U. L. . . 66. 38. 56-20 30-00 53-50 2. 13-22 55. 50-45 51. 6-18 18 after + 2-05 0-20 104. 21.26-44 104. 36. 42- 57 59-07 12 Moon's U. L. . . 63. 34. 47-40 30-14 53-50 1. 56-48 55.21-45 49. 24-40 18 after + 2-48 0-22 101. 18.43-05 101.33.51- 22 59-09 13 Moon's U. L. . . 60. 0.22-70 30-08 54-50 1. 39-99 54. 55-53 47.23-71 6 before 0-92 0-22 97. 45. 59-02 98. 1. 0- OS 59-10 14 Moon's TJ. L. . . 56. 8. 8-10 30-03 55-50 1.25-77 54. 33-27 45. 7-16 6 before 0-96 0-15 93. 55. 46-65 94.10.41- 01 59-11 17 Moon's U. L. . . 44. 23. 12-20 29-95 56-50 0. 56-16 54. 4-11 37. 37-60 6 before 0-88 + 0-22 82. 17. 50-74 82. 32. 37- 71 59-16 19 Moon's U. L. . . 37. 53. 12-30 29-64 56-50 0. 42-20 54. 28-28 33-15-01 6 before 0-67 + 0-44 75.51.59-68 76. 6.53- 27 59-19 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 _ p = 38. 31'. 20" -91 : q = 2" -03. Ther- Seconds Correction (") Observed 18' after Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 6" 68. Star's Name. Quadrant Reading. Baro- meter. mo- meter. Refrac- tion. of Star's Tabular N. P. D. for Index Error. ( b ) This observation was made with a moveable Quadrant of 40'"' radius. 1 Correction applied for Index Error +25" '03, which is the mean of in ff ff those given by o Arietis and Capella on the same day ; as shown by a Arietis .... 29. 5.12-10 30 -02 68-5 31-26 28-45 + 24-69 the annexed calculations. Adopted Co-latitude 38. 31'. 20" '40. Capella . . . 5.43 53-30 30-02 68-5 5-64 44-71 + 25 -37 SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (85) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at winch Observa- tion was made before or alter the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1772. Sep. 6 Moon's L. L. / a 69. 56. 46-00 in. 29-78 o 63-00 / it 2. 33-03 / a 56. 25-09 / 52. 50-58 B 67 after t +4-49 II o-oo 1 II 107. 37. 54-46 o t a 107.22.28-84 II 59-37 7 Moon's L. L. 67.53. 10-30 29-72 59-00 2. 18-55 55. 49-48 51. 33-60 0-54 105.35. 16-17 105.20. 0-31 59-38 12 Moon's U. L. . . 49. 37. 34-90 30-03 55-50 1. 7-76 54. 3-08 40. 59-56 1 1 before -1-73 + 0-06 87.29. 2-25 87. 43. 48-93 59-40 14 Moon's U. L. . . 42. 12. 34-10 29-59 55-50 0. 51-53 53. 58-28 36. 3-88 12 before -1-63 + 0-23 80. 8.40-91 80. 23. 26-28 59-40 15 Moon's U. L. . . 39. 2. 14-90 29-75 51-50 0. 46-70 54. 6-87 33. 53-08 18 before -2-12 + 0-22 77. 0.27-07 77.15.14-80 59-40 19 Moon's U. L. . . 33. 10. 7-80 30-00 45-50 0. 38-44 56. 10-80 30. 31-68 6 before + 0-08 + 051 71.11.35-41 71.26.57-11 59-39 Oct. 12 Moon's U. L. . . 40. 2. 49-60 29-85 48-50 0. 48-87 54. 0-64 34. 33-25 12 after + 1-50 + 0-65 78. 0.26-46 78. 15. 12-48 59-16 13 Moon's U. L. . . 37. 13. 38-70 30-00 45-50 0. 44-68 64. 11-60 32. 35-18 6 before 0-62 + 0-44 75. 13. 7-01 75. 27. 56-03 59-15 15 Moon's U. L. . . 33. 39. 25-70 30-05 52-50 0. 38-67 54.52-81 30. 12-73 12 before 0-48 + 0-40 71.41.10-42 71.56.10-74 59-12 10 Moon's U. L. . . 33. 9. 17-10 29-95 51-50 0. 37-89 55. 24-50 30. 5-83 22 after + 0-04 + 1-18 71.11. 9-22 71.26. 18-22 59-10 20 Moon's L. L. . . 41.29. 6-30 30-03 47-50 0. 51-82 58. 39-58 38. 38-80 + 0-40 79. 22. 38-86 79. 6.36-37 59-02 Nov. 1 Moon's L. L. 66. 59. 38-50 29-79 46-50 2. 16-40 56. 24-31 51.45-47 62 after + 7-00 o-oo 104. 41. 36-50 104.26. 11-10 58-76 2 Moon's L. L. 63.57.15-10 29-53 50-50 1. 56-72 55. 36-78 49. 47-96 24 after + 3-25 0-17 101. 40. 46-90 101.25.34-52 58-73 3 Moon's L. L. 60. 26. 56-40 29-49 45-50 1. 41-65 54. 58-61 47. 39-27 40 after + 5-98 0-03 98. 12. 24-56 97. 57. 22-65 58-70 4 Moon's L. L. 56. 39. 45-60 29-85 42-00 1.29-41 54. 30-30 45. 21-59 -0-18 94. 27. 12-94 94. 12. 18-79 58-68 8 Moon's L. L. 41.36.39-00 29-37 45-50 0.51-12 54. 3-34 35.42-13 19 after + 2-50 + 0-17 79.33. 9-80 79. 18. 23-05 58-59 11 Moon's U. L. . . 33. 57. 28-30 29-35 47-50 0. 38-59 54. 48-24 30. 24-55 6 before 0-32 + 0-51 71.59. 1-40 72.14. 0-47 58-51 13 Moon's L. L. 33.48. 2-40 29-84 38-50 0. 39-73 55.41-05 30. 46-35 + 0-65 71.49.15-30 71.34. 1-75 58-47 16 Moon's L. L. 40. 5. 18-10 29-88 38-50 0. 50-01 57. 33-51 36. 51-47 + 0-45 78. 0.36-18 77. 44. 51-80 58-40 18 Moon's L. L. 48. 14. 19-80 29-63 39-50 1. 5-81 59. 3-36 43. 50-82 16 before + 2-94 + 0-10 86. 2.57-21 85.46.48-21 58-35 19 1773. Jail. 3 Moon's L. L. Moon's L. L. 52.58. 9-50 38. 11.56-90 29-62 29-73 41-50 32-50 1.17-49 0.47-11 59. 45-64 54. 25-53 47. 30-45 33. 27-53 12 before + 2-30 o-oo + 0-54 90.43. 18-40 76. 10. 36-04 90. 26. 57-80 75. 55. 43-20 58-32 57-89 4 Moon's L. L. 35.51.10-40 30-15 31-50 0. 43-97 54.47-18 31.53-29 + 0-54 73. 51. 20-56 73. 36. 21-79 57-90 5 Moon's L. L. 34. 15. 49-70 30-22 26-50 0. 42-00 55. 16-37 30. 54-96 24 after + 1-16 + 0-23 72. 16. 57-01 72. 1.50-24 57-90 9 Moon's L. L. 37. 42. 31-50 29-88 37-50 0. 46-04 57. 38-02 35. 2-49 6 before + 0-71 + 0-44 75. 39. 35-20 75. 23. 49-59 57-94 11 Moon's L. L. 45. 2. 32-00 29-90 46-50 0. 58-54 58. 32-36 41. 13-03 9 before + 1-55 + 0-20 82. 53. 38-53 82. 37. 38-02 57-96 14 Moon's L. L. 58. 46. 43-70 29-45 40-50 1. 35-98 59.11-08 50. 25-56 18 before + 3-19 0-13 96. 29. 16-47 96. 13. 5-35 58-00 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -91 : q = 2" '03. From 1772, October 12, 90 - p = 38. 31'. 19" -53 : q = 2" -13. (86) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1773. Jan. 29 Moon's L. L. Q 1 II 42. 46. 59-70 In. 30-10 o 34-50 / // 0. 55-85 / a 54. 11-86 36.37-16 8 18 after // + 2-46 H -f-0-18 o / *80. 42. 40-22 / // 80.27-51-13 // 58-22 Feb. 2 Moon's L. L. 33. 56. 56-90 30-05 28-00 0. 41-14 55. 27-00 30. 45-76 + 0-63 71.58.11-78 71.43. 2-09 58"_>9 3 Moon's L. L. . . 33. 45. 57-70 30-46 27-50 0.41-46 56. 8-56 30. 59-88 18 after 0-23 + 0-31 71.46.58-22 71.31.37-13 58-30 10 Moon's L. L. 57. 6. 2-10 29-88 27-50 1. 33-82 59.47-17 50. 0-35 6 before + 1-11 0-15 94. 48. 56-24 94. 32. 35-23 58-42 11 Moon's L. L. 61.32. 3-90 29-90 25-50 1. 52-60 59. 39-62 52. 15-91 12 before + 2-0.1 0-17 99. 13. 2-30 98. 56. 43-35 58-44 25 Moon's L. L. 44.21.50-10 29-58 44-50 0. 56-80 54. 12-63 37. 42-75 + 0-27 82. 16. 23'66 82. 1.3435 58-63 28 Moon's L. L. 35. 59. 54-80 29-78 44-50 0. 42-47 54. 24-24 31.45-87 + 0-54 73. 59. 10-88 73.44.18-39 58-67 Mar. 2 Moon's L. L. 33. 53. 48-30 29-84 44-00 0. 39-42 55. 24'6G 30.41-93 + 0-63 71.55. 5-29 71. 39. 56-25 58-68 3 Moon's U. L. . . 33. 42. 57-20 29-57 49-50 0. 38-37 56. 9-60 30. 57-88 + 0-63 71.43.57-18 71.59.18-50 58-69 7 Moon's U. L. . . 44. 50. 30-40 30-14 30-50 1. 0-59 59. 39-72 41.51-48 + 0-27 82. 40. 59-04 82. 57. 18-01 58-72 11 Moon's L. L. 63. 53. 32-50 30-23 33-50 2. 3-40 60. 26-47 54. 5-68 12 before + 1-87 0-29 101.32.51-82 101.16.20-03 58-74 12 Moon's L. L . . . 67. 17. 35-50 30-31 32-50 2. 25-03 59.59-19 55.10-02 0-54 104. 56. 10-05 104.39.45-74 58-74 29 Moon's L. L. 34. 5. 6-70 30-15 39-00 0. 40-54 54. 43-51 30. 28-09 + 0-63 72. 6.38-66 71.51.40-89 58-69 30 Moon's U. L. . . 33.31. 5-30 30-10 40-50 0. 39-49 55. 17-18 30. 19-46 20 after 0-32 + 0-2S 71.32.44-15 71.47.51-15 58-67 Apr. 1 Moon's U. L. . . 36.15. 8-40 29-62 34-00 0. 43-61 56. 52-76 33. 25-63 18 after 1-72 + 0-26 74. 13. 43-97 74.29.17-18 58-66 4 Moon's U. L. . . 4X 1.17-30 29-08 44-50 1. 1-25 59. 47-39 43.31-89 20 after 3-68 + 0-08 84.50. 2-40 85. 6.23-48 58-02 6 Moon's U. L. . . 56. 40. 47-70 29-57 38-50 1.29-28 61. 6-18 50. 50-65 -0-18 94. 22. 45-84 94. 39. 28-23 58-58 9 Moon's L. L. . . 68. 46. 25-20 30-00 41-00 2. 32-06 60. 39-26 56. 22-34 -0-54 106. 23. 54-51 106. 7. 19-22 58-54 30 Moon's U. L. . . 40. 56. 45-80 29-62 55-50 0. 49-34 57. 35-43 37. 31-93 30 after 4-35 + 0-09 78.51.18-07 79. 7. 2-97 58-14 May 1 Moon's U. L. . . 44.52. 0-20 29-56 49-00 0. 57-23 58. 33-00 41. 5-71 + 0-27 82.43. 11-25 82.59. 11-94 58-13 3 Moon's U. L. . . 54. 6.42-70 29-78 38-50 1.21-73 60.21-47 48.41-82 18 after 3-45 0-04 91.50.38-72 92. 7. 9-13 58-08 5 Moon's U. L. . . 63. 15. 23-20 29-84 41-50 1. 56-58 61.21-65 54. 36-56 18 after 2-93 0-22 100.54. O'OO 101.10.46-91 58-04 6 Moon's U. L. . . 66. 50. 58-80 29-69 36-50 2. 17-90 61.21-78 56. 14-56 12 before + 1-50 0-35 104. 28. 23-35 104. 45. 10-29 58-02 11 Moon's U. L. . . 66. 14. 51-00 29-84 36-50 2. 14-71 57. 30-96 52. 28-48 12 before 1-40 0-34 103. 55. 55-53 104.11.39-21 57-90 12 Moon's U. L. . . 63. 5.20-30 29-91 41-50 1.56-01 56. 35-69 50. 17-55 0-40 100.48.18-29 101. 3.4681 57-88 28 Moon's U. L. . . 43.11.45-00 30-03 60-50 0. 53-59 57.27-07 39. 7-06 24 after 3-78 + 0-10 81. 4.47-05 81.20.29-66 57-58 30 Moon's U. L. . . 51.54. 11-10 30-30 61-00 1. 13-31 59. 5-14 46. 17-78 o-oo 89. 40. 26-15 89. 56. 35-65 57-55 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing: the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90- p = 38. 31'. 19" -53 : q = 2" '13. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (87) I Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made >efore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. /orrec- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1773. o r it in. o / // / // / // 9 a i o < // o / // // June 1 Moon's TJ. L. 61. 5.28-30 29-84 59-00 1. 42-70 60. 30-09 52. 46-32 0-31 98. 45. 44-42 99. 2. 17-20 57-52 2 Moon's TJ. L. . . 65. 4.50-10 29-59 50-50 2. 2-90 60. 55-24 j5. 3-98 4 after -0-58 0-39 02.43. 8-11 02. 59. 47-78 57-51 3 Moon's U. L. . . 68.10.38-80 29-82 45-50 2. 25-00 61. 2-92 56. 29-92 -0-54 05. 47. 53-45 106. 4.35-22 57-50 4 Moon's U. L. (") 70. 4. 3-20 29-84 52-50 2. 37-68 60.51-19 J7. 2-26 30 after center -1-52 0-16 07.40.57-12 07. 57. 35-68 57-48 5 Moon's U. L. . . 70.34. 3-70 29-95 48-50 2. 43-94 60. 20-87 56. 44-58 0-63 08. 11. 22-62 08. 27. 52-87 57-46 8 Moon's U. L. . . 64.43.11-40 29-95 50-50 2. 2-47 57.43-17 52. 1-08 14 before 1-88 0-26 02. 24. 30-64 102. 40. 17-66 57-43 10 Moon's U.L. .. 57.16.46-60 29-96 49-50 1. 30-45 55. 55-83 46. 52-35 12 before 1-93 0-17 95. 2.42-32 95.17.59-92 57-41 12 Moon's U. L. . . 49. 15. 24-30 29-59 62-50 1. 4-98 54. 40-57 41.14-04 12 before 1-89 + 0-06 87. 6. 32-83 87. 21.29-80 57-40 23 Moon's U. L. 38.27. 15-70 29-96 71-50 0. 44-26 56. 26-74 34. 53-74 + 0-54 76. 24. 25-79 76.39.51-86 57-35 20 Moon's U. L. . . 50. 9. 30-00 29-30 60-50 1. 6-69 58. 12-92 44.29-81 40-09 87. 57. 26-42 88. 13.21-59 57-34 July 3 Moon's U. L. . . 70. 20. 25-30 30-04 51-50 2.41-41 59. 50-24 56. 10-97 24 after + 0-78 0-22 107. 58. 16-49 108. 14.38-35 57-38 6 Moon's U. L. 63. 4.47-20 29-89 47-50 1.54-45 57. 39-47 51.13-97 0-40 100. 46. 47-21 101. 2.33-21 57-39 11 Moon's U. L. . . 43.25.31-10 30-24 59-50 0. 54-51 54. 23-65 37. 11-70 + 0-27 81. 20. 33-39 81. 35. 25-72 57-44 12 Moon's U. L. . . 40. 7.23-50 30-12 64-50 0. 47-87 54. 12-25 14. 43-97 12 before 1-49 + 0-29 78. 4.45-29 78. 19. 34-49 57-44 30 Moon's U. L. 70. 27. 32-30 29-59 56-50 2. 38-38 59. 22-38 55. 47-28 0-63 108. 5.42-96 108.21.57-18 57-69 Aug. 3 Moon's IT. L. . . 61. 10. 55-60 30-11 55-00 1. 44-86 67. 15-89 49. 59-58 0-32 98.54. 0-42 99. 9.39-96 57-76 5 Moon's U. L. . . 53. 3.50-30 29-96 56-00 1. 16-35 55.51-07 44.27-16 28 after + 4-63 0-02 90.52. 3-66 91. 7. 19-95 57-79 rj i Moon's U. L. . . 45. 7.28-20 30-07 54-50 0. 58-09 54. 45-00 38. 36-14 6 before 0-89 + 0-22 83. 1. 8-75 83. 16. 6 93 57-83 9 Moon's U. L. . . 38. 36. 56-30 29-96 60-50 0. 45-49 54. 15-07 33. 39-52 10 before 1-12 + 0-38 76. 35. 20-57 76. 50. 10-54 57-87 10 Moon's TJ. L. . . 36.11.15-60 29-96 63-00 0.41-46 54. 16-43 31.50-66 10 before -0-86 + 0-38 74. 11.24-87 74. 26. 15-22 57-88 11 Moon's U. L. . . 34. 27. 55-30 30-05 63-50 0. 38-99 54. 28-41 30. 37-49 6 before -0-33 + 0-51 72. 29. 15-87 72.44. 9-50 57-90 12 Moon's TJ. L. . . 33. 33. 3-90 29-96 61-50 0. 37-71 54. 50-32 30. 6-28 + 0-63 71. 34. 54-82 71.49.54-45 57-92 24 Moon's TJ. L. . . 67.22. 15-40 29-99 65-50 2. 14-57 59. 17-69 54. 33-43 20 after -2-13 0-24 105. 1.14-25 105. 17. 27-18 58-11 27 Moon's TJ. L. . . 69. 58. 10-20 29-61 58-50 2. 33-74 58. 34-95 54. 52-47 18 after + 0-68 0-31 107. 37. 12-01 107. 53. 13-23 58-16 28 Moon's L. L. 69. 0.54-80 29-85 57-50 2. 27-74 58.11-40 54. 10-22 24 after + 2-00 0-19 106. 40. 34-27 106. 24. 39-48 58-18 29 Moon's L. L. 66. 31. 54-30 29-93 59-50 2. 10-57 57.43-63 52. 47-13 24 after + 2-86 0-19 104. 12.40-46 103. 56. 53-31 58-18 31 Moon's L.L. (") Moon's TJ. L. . . 59. 29. 34-50 58. 58. 9-20 29-73 56-50 1. 36-43 1.34-46 56. 38-0 56. 38-01 48. 36-93 48. 20-78 12 after 30 after + 1-9 +4-77 0-17 0-07 97. 13. 55-58 96. 42. 47-36 96. 58. 26-42 96. 58. 16-52 58-21 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 _ p = 38.31'. 19" '53: q = 2"'13. ( a ) Observed 30 s after Transit of Center. Correction applied for distance of Center from middle wire 1"' 52. Increase of N.P. D. during passage of Semidiameter = + 3" 70. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" -which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. 1773. August 9, 10, 11, 12. By an examination of the Sun's Zenith Distances it appears that the Quadrant was out of adjustment on these days. ( b ) Correction applied for defective illumination, -f- 0" 04. (88) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal 2quatoreal Parallax. Parallax. Interval at which Observa- ;ion was made sefore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. f U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 23.27'. 1773. o * // iu. o / // / a / // II it o / Q t II i Sep. 4 Moon's U. L. . . 43. 8.33-70 29-77 49-00 0. 54-28 54. 35-77 37. 8-21 18 before 2-53 + 0-13 81. 3.36-57 81.18.32-21 58-25 6 Moon's U. L. . . 37. 13. 8'90 29-55 53-50 0.43-28 54. 11-51 32. 34-74 18 after + 1-75 + 0-91 75. 12. 37-68 75. 27. 26-67 58-28 10 Moon's L. L. 34. 31. 58-00 29-62 56-00 0.39-11 55.27-19 31. 13-88 + 0-63 72.32.41-94 72.17.32-20 58-30 11 Moon's L. L. 35. 58. 43-60 30-00 51-50 0.42-17 56. 9-73 32. 47-32 12 before + 0-95 + 0-35 73.57.57-28 73. 42. 35-87 58-30 22 Moon's U. L. . . 70. 5.41-00 29-50 52-50 2.36-11 59. 9-36 55.27-38 30 after 0-82 0-16 07.44. 7-58 108. 0. 18-23 58-33 24 Moon's L. L. 69. 31. 48-70 29-41 54-00 2. 30-58 58. 5-26 54. 15-57 30 after + 2-08 0-14 107. 11.24-46 106.55. 31-38 58-32 27 Moon's L. L. 60.51.44-60 29'80 50-00 1. 43-49 56. 27-71 49. 8-52 24 after + 3-65 o-io 98.35.41-60 98. 20. 15-26 58-32 28 Moon's L. L. 56. 56. 58-90 30-02 49-00 1.29-59 55.57-16 46.43-10 18 after + 2-90 0-09 94.43. 6-53 94. 27. 48-57 58-31 29 Moon's U. L. 52. 22. 32-80 29-98 52-50 1.15-05 55. 28-25 43.44-74 16 after + 2-61 o-oo 90. 11.23-88 90. 26. 33-91 58'29 Oct. 2 Moon's U. L. . . 41. 6.50-50 29-64 46-50 0. 50-69 54. 20-93 35. 32-40 10 before 1-30 + 0-25 79. 3. 25-47 79. 18. 17-05 58-28 3 Moon's U. L. . . 38.11.38-20 29-04 56-50 0. 43-79 54. 8-74 33. 15-82 10 before -1-07 + 0-38 76. 10.23-10 76. 25. 11-34 58-27 4 Moon's U. L. . . 35. 53. 59-30 29-16 46-50 0. 41-29 54. 3-95 31.30-16 15 before 1-20 + 0-30 73. 54. 27-06 74. 9. 13-99 58-26 a Moon's U. L. . . 34. 20. 12-40 29-65 41-50 0. 40-03 54. 8-23 30. 20-14 10 before 0-49 + 0-44 72.21.49-71 72. 36. 37-81 58-25 10 Moon's L. L. 39. 55. 44-20 29-94 46-50 0.49-01 56. 58-00 36.21-43 15 before + 1-94 + 0-25 77.51.31-65 77. 35. 57-01 58-19 21 Moon's L. L. 70. 5. 7-00 29-91 50-50 2. 38-85 58. 49-07 55. 8-40 71 after + 3-98 0-02 107.44. 0-24 107.27.55-14 58-03 23 Moon's L. L. 65. 26. 42-80 29-77 55-00 2. 4-63 57. 15'66 51. 54-90 11 after + 1-40 0-30 103. 8.12-29 102.52. 32-81 57-99 25 Moon's L. L.. . 58. 15. 7-20 29-82 56-50 1. 32-13 55. 57-25 47. 24-22 14 after -t-2'21 0-16 96. 0.35-54 95. 45. 17-55 57-95 26 Moon's L. L. 54.14.49-10 29-69 51-50 1. 19-71 55. 25-44 44. 47-73 12 after + 1-94 0-06 92. 2.41-19 91.47.31-93 57-93 28 Moon's L. L. 46.20.21-50 29-73 50-50 1. 0-40 54. 36-74 39. 19-02 13 after + 1-96 + 0-1- 84. 13. 22-94 83. 58. 27-03 57-89 29 Moon's L. L. 42. 45. 33-60 29-32 54-50 0. 52-16 54. 19-44 36.41-22 12 after + 1-64 + 0-23 80.41. 4-20 80. 26. 13-03 57-87 30 Moon's L. L. 39. 37. 16-30 29-10 45-50 0. 47-22 54. 6-97 34. 18-86 4 after -r-0-47 + 0-51 77.35. 3-31 77. 20. 15-56 57-85 31 Moon's TJ. L. . . 36. 34. 10-20 29-50 41-50 0. 43-25 53. 59-87 31. 58-35 + 0-52 74.34. 13-18 74. 48. 58-99 57-83 Nov. 1 Moon's L. L. 35. 12. 43-30 29-72 38-50 0.41-72 53. 58-77 30. 55-60 -I-0-58 73. 13.45-92 72.59. 0-41 57-81 4 Moon's L. L. 34. 35. 53-90 29-53 41-50 0. 40-26 54. 40-SC 30. 50-87 + 0-63 72. 36. 59-82 72.22. 2-78 57-74 I" Moon's L. L. 41. 40. 49-50 28-95 43-50 0. 50-72 56. 43-83 37. 31-23 + 0-40 79. 35. 25-55 79. 19. 54-79 57-67 9 Moon's L. L. 49. 50. 15-5C 29-11 38-50 1. 8-53 58. 40-4ti 44. 38-35 8 after 1-44 + 0-12 87.38. 0-84 87.21.58-10 57-63 19 Moon's L. L. 66. 43. 3-70 29-92 36-50 2.18-10 58. 20-2 1 ; 53. 25-2 0-54 104.23.13-18 104. 7.15-99 57-44 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 19" -53 : q = 2"'13. From 1773, Sep. 6, 90 - p = 38. 31'. 18" '15 : q = 2" "23. From 1773, Nor. 1, 90 - p = 38. 31'. 16" -57 : q = 2" '25. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (89) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N P.D. of Center at Transit of 1 L. or 2 L. Tabular Obhcjuity of Ecliptic. 23.27'. 1773. Nov. 22 23 20 Moon's L. L. o / " 55.40. 0-10 51.30. 16-70 40. 37. 54-20 in. 29-54 29-50 29-99 29-50 33-50 33-50 / // 1.27-51 1. 14-73 0.51-71 / it 55.47-18 55. 10-83 54. 7-35 ' // 45. 53-09 43. 3-64 35. 2-96 * // II 0-14 + 0-05 + 0-45 Q 1 It 93.26.51-09 89. 25. 44-39 78. 34. 59-52 O / /' 93. 11.35 86 89. 10. 39-14 78.20.11-66 57-39 57-37 57-31 Moon's L. L. 27 Moon's L. L. . . 37.50.27-10 30-14 39-50 0. 46-46 53. 59-67 12. 55-64 + 0-54 75. 49. 34-48 75. 34. 48-72 57-29 29 Moon's L. L. 34. IS. 46- 10 30-12 37-50 0. 40-97 54. 0-91 30. 15-03 + 0-63 72. 20. 28-58 72. 5.42-49 57-26 Dec. 4 Moon's L. L. i 40. 14. 56-70 29-44 41-50 0. 49-24 55.49-15 J5. 51-82 + 0-45 78. 11.10-68 77. 55. 54-91 57-19 8 Moon's L. L. 56. 44. 40-80 29-71 30-50 1.31-45 59. 10-29 49. 17-41 0-18 94.28. 11-41 94. 12. 0-50 57-15 18 Moon's L. L. 61.30.28-50 29-23 46-50 1. 44-98 57. 43-50 50. 33-36 0-32 99. 12. 56-73 98.57. 9-62 57-09 20 Moon's L. L. 53. 17. 38-20 29-28 46-50 1. 16-71 55.55-12 44. 38-64 0-05 91. 5.32-83 90. 50. 15-43 57-09 22 Moon's L. L. . . 45.21.29-80 28-95 49-50 0. 56-96 54. 40-76 38. 42-71 + 0-27 83.15. 0-63 83. 0. 3-62 57-08 27 Moon's L. L. 33. 50. 42-80 29-83 38-50 0. 39-79 54. 12-08 29. 59-29 + 0-63 71.52.29-80 71.37.50-65 57-09 29 Moon's U. L. . . 34. 14. 0-00 29-29 34-50 0. 39-97 54. 44-71 30. 35-69 35 after 1-95 + 1-58 72. 15. 19-79 72. 30. 17-89 57-10 30 Moon's L. L. 36. 30. 52-80 29-26 30-50 0.43-81 55. 7-33 32. 35-86 + 0-54 74.30.1726 74. 15. 12-96 57-11 31 1774. Jan. 1 Moon's L. L. Moon's L. L. 39. 5.58-50 42. 22. 42-50 29-46 29-32 28-50 28-50 0. 48-62 0. 54-32 55. 33-93 56. 4-32 34. 50-53 37. 35-60 + 0-54 + 0-36 77. 3. 12-80 80. 17. 17-77 76. 48. 1-21 80. 1.57-84 57-12 57-12 3 Moon's L. L. 50. 25. 26-90 29-89 22-50 1. 14-33 57.17-16 43. 57-60 + 0-09 88. 14. 0-22 87. 58. 20-35 57-14 4 5 18 Moon's L. L. 54.50. 18-10 59. 13. 50-30 47. 5.57-20 29-98 29-90 29-33 27-50 31-50 31-50 1.26-50 1.41-09 1. 3-66 57. 58-63 58.41-88 35. 23-33 47. 12-48 50. 15-06 40. 22-85 -0-09 0-27 + 0-22 92. 35. 48-70 96. 56. 32.90 84. 57. 54-60 92. 19. 57-45 96. 40. 29-78 84. 42. 45-91 57 15 57-16 57-32 Moon's L. L. 19 Moon's L. L. 43. 22. 57-90 29-82 2950 0.57-10 54. 48-24 37. 26-89 + 0-31 81. 17.44-65 81. 2.45-58 57-34 20 Moon's L. L. 40. 7.51-80 29-48 28-50 0. 50-47 54. 23-85 34.51-89 + 0-45 78. 5. 6-94 77. 50. 14-56 57-36 21 Moon's L. L. . . 37. 26. 52-70 29-74 29-50 0.46-16 54. 10-46 32. 44-56 + 0-54 7-3. 26. 10-84 75.11.22-13 57-37 23 Moon's L. L. 34. 12. 25-80 28-88 32-50 0. 39-54 54.13-28 30. 16-99 + 0-63 72.14. 4-86 71. 59. 15-37 57-41 24 Moon's L. L. 33. 49. 22-50 29-09 34-50 0. 39-09 54.27-41 30. 6-71 + 0-63 71. 51.11-38 71. 36. 18-02 57-43 26 Moon's L. L. 35. 4S. 8-20 29-45 32-50 0. 42-73 55. 12-67 32. 4-18 + 0-54 73.46. 3-23 73. 30. 5T47 57-47 27 Moon's U. L. 37.33. 9-10 29-31 40-50 0. 44-62 55. 40-80 33. 43-89 + 0-54 75.31.26-38 75. 46. 39-86 157-49 28 Moon's L. L. 41. 7.44-90 29-53 34-50 0. 51-7( 56. 10-64 36. 44-94 + 0-40 79. 3. 8-20 78. 47. 46-54 67-51 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N P. D. is formed by adding Olnfsen's 90 p and q cos. N. P.D. to the corrected Quadrant Reading. 90 _ p = 38. 31'. 16" -57 : q = 2" '25. - GREENWICH LUNAR REDUCTIONS. (N) (90) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Vear, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2327'. 1774. Jan. 29 Moon's L. L. O 1 tl 44. 48. 58-60 29-68 o 34-50 8 // i/ + 0-27 o / // 82.41.29-14 / // 82.25. 59-16 it 57-53 0.59-11 56. 40-99 39.45-12 Feb. 1 Moon's L. L. 57. 42. 22-90 30-03 23-50 1. 37-34 58. 9-06 48. 58-25 0-23 95. 26. 18-54 95. 10. 24-42 57-59 17 Moon's L. L. . . 38. 38. 39-80 29-51 42-50 0. 46-53 54. 29-74 33. 50-02 + 0-54 76. 36. 52-90 76.21.58-90 57-90 18 Moon's L. L. 36. 19.50-30 29-91 41-50 0. 43-47 54. 15-87 31.57-01 + 0-54 74.19.53-26 74. 5. 3-06 57-92 20 Moon's L. L. 34. 0. 11-20 29-97 42-50 0.39-88 54.21-51 30. 11-96 -r-0-63 72. 1. 54-04 71.47. 2-30 57-94 21 Moon's L. L. 34. 7.20-50 29-66 37-50 0. 40-06 54. 39-69 30.27-73 + 0-63 72. 8.47-76 71. 53.51-04 57-95 22 Moon's U. L. . . 34.38.23-60 29-39 46-50 0. 39-72 55. 6-00 31. 6-93 + 0-58 72.39.11-29 72. 54. 15-22 57-97 23 Moon's V. L. . . 36. 33. 7-40 29-02 49-50 0.4T83 55. 38-59 32. 55-97 + 0-54 74.32. 8-19 74.47.21-06 57-99 24 Moon's U. L. . . 39. 17.55-10 29-40 40-50 0. 47-65 56. 14-95 35. 25-22 -I-0-54 77. 14. 32-56 77. 29. 55-40 58-00 25 Moon's U. L. . . 42. 45. 50-80 29-21 33-50 0. 54-27 56. 52-49 38. 24-70 + 0-31 80. 39. 35-30 80.55. 8-43 58-02 28 Moon's L. L. 56. 12. 6-40 29-73 36-50 1.28-53 58. 27-53 48. 23-31 -0-18 93. 56. 26-53 93. 40. 27-34 58-07 Mar. 1 Moon's L. L. 60.31.30-80 29-54 36-50 1.44-07 58.47-78 51. 0-25 0-27 98. 13. 29-66 97. 57. 24-92 58-08 2 Moon's L. L. . . 64.24. 9-20 29-37 32-50 2. 2-94 59. 1-74 53. 3-64 0-45 102. 4.23-51 101.48. 14-95 58-09 4 Moon's L. L. . . 69. 45. 15-90 28-98 38-50 2. 35-05 59. 12-56 55. 23-32 0-59 107.23.42-71 107. 7.31-18 58-11 20 Moon's L. L. 33. 59. 24-90 29-69 48-50 0. 39-00 54. 23-62 30. 12-52 + 0-63 72. 1. 3-25 71.46. 10-93 58-20 21 Moon's U. L. . . 34. 6.32-00 30-01 48-50 0. 39-60 54. 43-94 30. 29-36 + 0-63 72. 7.54-12 72. 22. 52-00 58 "20 24 Moon's U. L. . . 41. 6. 9-00 30-13 41-50 0.51-94 56. 37-27 37. 1-06 + 0-40 79. 1.11-79 79. 16. 40-74 58-18 25 Moon's U. L. . . 44. 53. 46-70 30-00 41-50 0. 59-05 57. 24-22 40. 18-72 + 0-27 82. 45. 38-96 83. 1.20-78 58-17 26 Moon's U. L. . . 49.11. 8-80 29-93 42-50 1. 8-20 58. 10-00 43. 49-20 + 0-13 86. 59. 39-85 87. 15.34-22 58-17 27 Moon's U. L. (") 53. 44. 47-40 29-80 46-50 1. 19-37 58. 50-40 47. 15-04 12 after center 2-20 91.30. 1-54 91.46. 6-99 58-16 28 Moon's L. L. 58. 49. 55-90 29-97 45-50 1. 36-87 59.21-86 50. 36-47 0-27 96.32. 8-24 96. 15. 54-16 58-16 29 Moon's L. L. 63. 2.34-90 29-94 39-50 1.56-39 59.41-86 53. 1-90 0-36 100.42.41-41 100. 26. 21-85 58-16 30 Moon's L. L. 66. 35. 46-70 29-78 39-50 2. 15-80 59. 49-47 54. 43-85 0-54 104. 14. 30-62 103. 58. 8-98 58-15 31 Moon's L. L. 69. 12. 16-40 29-54 40-50 2. 32-94 59.45-51 55. 42-01 -0-54 106. 50. 19-40 106. 33. 58-84 58-14 Apr. 2 Moon's U. L. . . 70. 17.33-40 29-21 43-50 2.39-16 59.11-79 55. 33-84 0-63 107. 55. 50-75 108.12. 2-06 58-12 18 Moon's U. L. . . 34.46. 2-70 29-45 48-50 0. 39-83 54.41-11 30. 58-89 + 0-58 72. 4(5. 55-49 73. 1.52-60 57-93 19 Moon's U. L. . . 36.44.17-80 29-65 44-50 0. 43-47 55. 12-32 32. 49-09 + 0-54 74. 43. 24-07 74. 58. 29-74 57-91 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was p'assing Ihe Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90- p = 38. 31'. 16" -57: q = 2" '25. From 1774, Feb. 20, 90-p=38. 31'. 14" "99: q = 2"'26. From 1774, March 20, 90-p = 33. 31'. 11" "95 : q=2"'29. ( a ) Observed 12* after Transit of Center. Correction applied for distance from middle wire 2"' 20. Increase of N.P. D. during passage of Semidiameter = + 12"' 16. This is not applied to form the numbers in the columns " Geocentric N.P. D. of Limb," "Geocentric N. P. D. of Center;" which, therefore, in this instance, represent the N.P.D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (91) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made >efore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. torrec- ion for jurva- ture of Path. Geocentric N. P. D. ofU. L.orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1774. Apr. 20 Moon's U. L. O I II 39. 29. 23-20 in. 29-80 o 42-50 / // 0. 48-42 / // 55. 53-27 / // 35. 20-23 H u 4-0-45 O 1 /' 77.26. 3-29 O 1 II 77.41.20-19 ;/ 57-90 21 Moon's U. L. . . 42. 56. 59-20 29-93 47-50 0. 54-37 56. 42-32 38. 25-93 40-31 80. 50. 39-54 81. 6. 9-88 57-89 22 Moon's U. L. . . 46. 59. 14-50 29-91 51-50 1. 2-03 57.36-37 41.55-09 + 0-22 84. 49. 33-40 85. 5.18-56 57-86 23 Moon's U. L. . . 51.26. 4-20 30-04 53-50 1. 12-56 58.31-15 45. 33-31 4-0-05 89. 12. 55-42 89. 28. 55-60 57-85 24 Moon's U. L. . . 56. 3.26-30 30-02 50-50 1. 26-36 59. 21-84 49. 3-12 0-18 93.47. 1-46 94. 3. 15-53 57-83 25 Moon's U. L. . . 60. 33. 23-90 29-54 50-50 1.41-22 60. 2-82 52. 6-09 0-27 98. 14. 11-04 98. 30. 36-34 57-81 27 Moon's L. L. 68. 19. 37-30 29-58 41-50 2. 26-14 60.40-01 56. 12-49 0-54 105.57. 2-99 105. 40. 27-49 57-77 May 3 Moon's U. L. . . 61.43. 2-90 29-55 51-50 1. 45-96 57. 32-19 50. 29-29 0-36 99.25.31-54 99.41.15-55 5765 16 Moon's U. L. . . 35.41.14-10 30-06 54-50 0. 41-55 54. 36-65 31. 39-36 + 0-54 73.41.28-14 73. 56. 24-03 57-42 18 Moon's U. L. . . 41.13.23-00 30-04 51-50 0. 50-95 55. 46-47 36.33-14 4-0-40 79. 8.52-73 79.24. 7-76 57-38 20 Moon's U. L. . . 49. 8.51-30 29-88 52-50 1. 6-70 57. 30-44 43. 17-87 4-0-13 86. 57. 52-09 87. 13. 35-62 57-35 23 Moon's U. L. . . 62. 32. 29-40 29-29 57-50 1. 47-39 60. 17-04 53. 18-35 ; 0-3C 100. 12. 10-44 100.28.39-64 57-30 27 Moon's L. L. 71. 3.24-30 29-93 40-50 2. 51-14 60. 48-60 57.21-20 0-63 108.40. 6-29 108. 23. 28-44 57-24 June 1 Moon's U. L. . . 55. 5. 11-10 29-79 60-50 1.21-00 56. 45-88 46. 21-49 0-14 92.51.22-53 93. 6.53-85 57-18 1C Moon's U. L. . . 47. 14. 28-40 29-84 68-50 1. 0-34 56. 26-54 41. 14-48 4-0-23 85. 5.26-24 85. 20. 52 25 57-07 18 Moon's TJ. L. . . 55. 58. 34-20 29-97 65-50 1. 23-39 58. 14-05 48. 4-31 0-18 93.43. 5-20 93.59. 0-69 57-06 24 Moon's U. L. . . 70. 6. 11 -40 29-88 56-50 2. 36-90 61. 6-87 57.17-73 0-59 107.42.4263 107. 59. 25-49 57-08 26 Moon's U. L. . . 64. 59. 29-20 29-76 55-50 2. 1-92 59. 45-06 53.58-17 0-50 102. 38. 44-90 102.55. 5-34 57-09 28 Moon's U. L. . . 56. 54. 45-00 29-73 56-50 1. 27-26 57. 49-75 48. 15-69 -0-23 94. 39. 8-48 94.54.57-30 57-09 29 Moon's U. L. . . 52. 33. 39-90 29-69 56-50 1. 14-22 56. 53 60 44. 58-77 o-oo 90. 21. 7-31 90. 36. 40-74 57-10 July 18 Moon's U. L. . . 66. 8. 2-50 30-05 61-50 2. 8-17 59. 36-67 54. 20-26 -0-54 103.47. 2-37 104. 3.20-51 57-30 20 Moon's U. L. . . 70. 24. 37-80 29-87 57-50 2. 39-13 60. 47-98 57. 6-68 0-63 108. 1.22-28 108. 17. 59-97 57-33 22 Moon's U. L. . . 69.20. 8-00 30-20 56-50 2. 32-28 60. 55-56 56. 50 '04 0-59 106.57. 2-27 107. 13. 42-03 57-37 23 Moon's U. L. . . 66. 46. 58-00 30-13 57-50 2. 13-56 60. 30-65 55. 25-99 -0-54 104. 24. 57-55 104.41.30-48 57-40 24 Moon's U. L. 63.14.46-70 29-9P 60-50 1.52-53 59. 49-69 53. 14-39 0-40 100. 54. 36-82 101.10.58-52 57-41 25 Moon's U. L. . . 59. 4.57-90 29-84 58-50 1. 34-85 58. 57-85 50. 23-79 0-2" 96. 47. 20-91 97. 3.28-40 57-44 Aug. 15 Moon's U. L. . . 67. 48. 58-80 29-54 64-5U 2. 15-72 59. 10-84 54. 37-70 -0-54 105.27.48-84 105. 43. 59-90 57-85 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 11" '95 : q = 2" '29. (N)2 (92) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bntl.t Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2L. Tabular Obliquity of Ecliptic. 23.27'. 1774. Aug. 17 Moon's U. L. . . O t It 70. 3-j. 37-80 ,n. 29-74 o 58-50 / // 2. 39-70 / // 60. 6-16 / '/ 56.31-27 // If 0-63 1 H 103. 12. 58 27 / // 108. 29. 24-49 '/ 57-89 20 Moon's U. L. (55. 8. 25-60 29-94 60-50 2. 2-25 59. 59-87 54. 15-51 0-50 102. 47. 24-30 103. 3.48-79 57-94 21 Moon's L. L. (') Moon's U. L. ( b ) 01. 49. 25-40 61. 16. 36-70 29-88 60-50 1.45-67 1.43-31 59. 28-47 59. 28-47 52. 14-6S! 51.58-17 0-32 99. 30. 8-90 98.57.34-15 99. 13.53-01 99. 13. 50-04 57-96 22 Moon's U. L. . . 56. 55. 4'40 29-90 62-50 1. 26-72 58. 45-80 49. 2-7-2 -0-23 94. 38. 40-31 94. 54. 44-53 57-98 24 Moon's U. L. . . 47. 58. 59-90 29' SS 06-5!! I. 3-51 57. 4-32 42. 12-06 + 0-18 85.49. 3-31 86. 4. 39-68 58-02 28 Moon's U. L. . . 35. 12. 24-90 29-46 50-50 0. 40-33 54. 30 10 31. 13-20 + 0-58 73. 13. 3-90 73. 27. 58-00 58-09 Sep. 12 Moon's U. L. . . 69. 16. 20-90 29-49 56-50 2.28-21 59. 2-33 55. 3-01 0-60 106.54.58-12 107.11. 6-85 58-27 13 Moon's U. L. . . 70. 26. 49-60 29-53 54-50 2. 38-60 59. 17-59 55. 42-53 0-63 108. 4.57-70 108.21. 10-61 58"27 15 Moon's L. L. 69. 34. 19-70 29-75 53-50 2.32-81 59. 30 61 55. 36-23 0-59 107. 12.28-3-2 106.56. 11-85 53-30 17 Moon's L. L. 63.37.58-10 29-85 53-50 1. 55 63 59. 10-00 52. 50-05 -0-40 101.18. 15-68 101. 2. 4-85 J8-31 18 Moon's L. L. 59. 31. 57-50 29-93 47-50 L. 39-04 58. 44-70 50. 26-95 0-27 97.14.21-56 96. 58. 17-67 58-31 20 Moon's U. L. 50. 2.24-10 29-65 48-50 1. 8-86 57. 30-89 43.53-12 + 0-09 87.50.51-79 88. 6.35-45 58-31 21 Moon's U. L. . . 45. 44. 49-50 29-38 49-50 0. 58-59 56. 47-80 40. 28-74 + 0-27 83.36.31-32 83.52. 3-16 5831 23 Moon's U. L. . . 38. 35. 28-70 29-26 53-50 0. 45-02 55. 26-60 34. 22-79 + 0-49 76.33. 2-84 76. 48. 12-42 58-32 26 Moon's U. L. . . 33.20. 2-60 29-69 48-50 0. 38-05 54. 17-04 29. 37-72 + 0-63 71.22. 11-72 71.37. 2-23 58-32 28 Moon's L. L. 34. 38. 49-80 2957 50-50 0. 39-65 54. 23-20 30.43-19 + 0-58 7-2. 39. 55-05 72.25. 2-85 58-31 30 Moon's L. L. 38.50. 6-80 29-36 52-50 0. 45-66 55. 9-92 34.23-55 + 0-54 76. 47. 37-82 76. 32. 32-81 58-30 Oct. 12 Moon's L. L. 70. 12. 2T70 30-17 53-50 2. 40'29 59. 9-19 55. 29-86 15 after 4-0-97 0-35 107. 50. 46-95 107. 34. 36-35 58-22 13 Moon's L. L. 68. 4. 56-20 30-28 52-50 2. 24-44 58. 56-40 54. 30-85 15 after + 1-62 0-30 105. 43. 59-38 105.27.52-28 58-20 14 Moon's L. L. 64. 59. 7-90 30-33 48-50 2. 6-02 58. 39-28 52. 58-84 15 after + 2-12 0-25 102.39.25-34 102. 23. 22 93 58-19 15 Moon's L. L. 61. 10. 9-60 30-27 47-50 I. 47-00 58.18-10 50. 53-74 0-27 98.52. 11-85 98. 36. 15-25 58-18 16 Moon's L. L. 56.54. 3-50 30-07 45-50 I. 30-23 57. 52-50 48.17-80 -0-18 94. 38. 24-84 94. 22. 35-26 58-18 17 Moon's L. L. 52. 26. 52-20 30-07 48-50 1. 16-09 57. 22-86 45.17-93 o-oo 90. 13.59-27 89. 58. 17-82 58-16 10 Moon's L. L. ( r ) 43.58. 3-20 30-13 52-50 0.56-13 56. 16-08 33.51-84 -r-0-27 81.51. 16-33 81.35.53-18 58-13 20 Moon's U. L. . . 39. 51. 30-20 30-11 47-50 0. 49-06 55.42-19 35. 29-79 + 0-45 77. 47. 58-33 78. 3. 12-19 58-11 21 Moon's U. L. . . 36. 55. 25'50 30-08 48-50 0. 44-03 55. 10-70 32. 56-72 + 0-54 74.54.21-65 75. 9.26-87 58-09 24 Moon's L. L. . . 33. 32. 48-50 29-70 43-50 0. 38-77 54. 12-76 29. 45-55 + 0-67 71.34.59-42 71. 20. 10-08 58-05 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. yO- P =;58 .31'.n"-95 : q=2'"29. From 1774, Sep. 26, 90"-p=38. 31'. 8'' '90 : q = 2""31. From 1774, Oct. 24, 90-p=38.3I'. 17" -78 : q = 2*-37. ( a ) Observed at Transit of 1 L. Correction applied for defective illumination, + 0"-48. (") Observed at Transit of Center. Increase of N.P. D. during passage of Semidiameter = 11"' 31. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( c ) Observed at Transit of 2 L. Increase of N. P. D. during passage of Semidiameter = 10" "02. SECT. II. INVESTIGATION OF MOON'S NORTH POLAII DISTANCE. (93) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Kqnatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after tbe bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L. orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1774. Oct. 25 Moon's L. L. o / * 34. 1.22-60 29-94 o 38-50 ' if 0. 40-20 / a 54.11-44 / // 30. 7-31 t // + 0-63 O / II 72. 3.13-17 O / It 71.48.24-20 58-03 20 Moon's L. L. 35.21.45-80 30-02 33-50 0. 42-37 54. 20-86 31. 15-27 + 0-58 73.22.30-58 73. 7.39-02 58-02 Nov. 10 Moon's L. L. 66. 12. 14-00 30-05 36-50 2. 15-38 58. 49-27 53. 39-05 10 before 1-33 0-74 103.52. 6-61 103.36. 1-46 57-76 13 Moon's L. L. 54. 3. 5-70 30-15 33-50 1.23-43 57. 9-67 46. 5-14 10 before 1-76 0-12 91. 49. 39-97 91.34. 2-14 57-69 14 Moon's L. L. 49. 39. 32-50 30-04 36-50 1. 10-57 56. 37 72 42. 53-12 10 after + 1-73 + 0-06 87.29. 4-42 87. 13. 35-34 57-68 18 Moon's L. L. 35. 55. 34-60 29-60 35-50 0. 42-92 54. 47-08 31.56-64 -j-0-54 73. 55. 38-54 73. 40. 39-80 57-61 20 Moon's L. L. . . 33.25. 19-50 29-98 32-50 0. 39-85 54. 12-38 29. 39-45 70 before 0-97 + 0-02 71.27.35-98 71. 12. 46-74 57-58 26 Moon's L. L. . . 45. 49. 15- 10 29-98 30-50 1. 2-3(i 55. 44-97 39.47-14 80 before +12-67 + 0-03 83.42. 0-54 83. 26. 45-91 57-48 28 Moon's L. L. 54. 24. 55-00 29-18 31-50 1.22-17 57. 30-44 46. 34-70 90 before +16-17 0-02 92. 11. 6-49 91. 55. 22-96 57-46 Dec. 7 Moon's L. L. 67. 35. 38-60 30-23 29-50 2. 27-73 59. 55 92 55. 14-29 10 before 1-24 0-74 105.14. 8-46 104. 57. 45-05 57-36 8 Moon's L. L. . . 64. 6.21-80 29-73 26-50 2. 4-41 59. 10-59 53. 3-60 10 before 1-54 0-61 101.46.38-72 101. 30. 27-73 57-35 9 Moon's L. L. 60. 1. 3-70 29-48 22-50 1.4485 58.21-92 50. 22-40 0-27 97. 43. 43-98 97. 27. 46-33 57-36 15 Moon's L. L. 36.44. 8-60 30-06 40-50 0. 44-43 54. 43-45 32.31-91 10 before 1-00 + 0-74 74.43.3802 74. 28. 40-26 57-32 16 Moon's L L. 34. 42. 24-90 29-97 40-50 0.41-11 54. 24-50 30. 46-75 + 0-63 72. 43. 36-97 72.28.44-41 57-32 24 1775. Jan. G Moon's L. L. Moon's L L . . 48. 1.44-80 57.34 19-30 30-55 29-95 28-50 45-50 1. 8-93 1.32-20 55. 33-38 58. 47-94 41. 6-80 49. 26-50 10 before 1-81 + 0-18 0-37 85.53. 4-72 95. 17. 40-82 85. 37. 53-28 95. 1.36-04 57-34 57-45 12 Moon's L. L. 35. 23. 30-30 29-57 40-50 0.41-61 54. 27-96 31.20-69 10 before 0-79 -1-0-74 7324. 8-27 73. 9.14-77 57-54 13 Moon's L. L. . . 33. 53. 49-30 29-67 39-50 0. 39-57 54. 10-92 30. 1-08 12 before 0-52 +0-91 71.55.45-22 71.40.56-38 57-55 15 Moon's L. L. . . 33.34. 12-80 29-72 44-50 0. 38-75 53. 56-50 29. 37-74 + 0-63 71.36.31-47 71.21.46-58 57-60 16 Moon's L. L. (*) 34.44.32-80 29-76 44-50 0.40-54 53. 58-25 30. 33-54 72. 45. 56-88 72.31. 11-52 5761 17 Moon's L. L. . . 36.43.51-40 29-83 38-50 0.4427 54. 5-35 32. 9-05 100 before + 9-60 + 0-24 74. 43. 53-62 74.29. 6-31 57-64 21 Moon's L. L. 50.36. 16-90 29-41 41-50 1. 10-70 55. 33- 1 1 42. 44-42 10 before + 1-67 -r-0-06 88. 26. 2-63 88. 10.51-27 57-72 Feb. 5 Moon's L. L. 4(5. 8.25-10 29-94 39-50 I. 1-80 57. 12 23 41. 2-72 +0-27 83.59.41-98 83.44. 3-44 58-03 G Moon's L. L. . . 42. 10.43-40 30-07 43-50 0.5361 56. 17 5 J 37. 35-73 10 before -1-49 + 0-49 80. 5.17-65 79 49. 54-10 53-06 9 Moon's L. L 34. 24. 62-70 29-44 45-50 0. 39-54 54.26-31 30. 34-03 10 before 0-56 -r-0-86 72.2(5. 15-57 72. 11.22-51 58 13 10 Moon's L. L. 33. 28. 34-70 29-33 45-50 0. 38-02 54. 8-87 29. 40-OS 10 before 0-20 + 0-86 71.30.50-33 71.16. 2-06 58-15 12 Moon's U. L. . . 33.47. H -SO 28-78 40-50 0.38-14 54. 0-20 29. 49-85 + 0-63 71.49.17-76 72. 4. 3-66 58-19 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. U. is formed l>v adding Olut'sen's 90 p and q cos. N. P. U. to the corrected Quadrant Reading. 90 - p = 38. 31'. 17" 78 : q = 2" "37. ( m ) Observed at Transit of Center. Increase of N. P.D. during passage of Semidiameter = 4- 4'' '16. This is not applied to form the numbers in the columns "Geocentric N.P. D. of Limb," " Geocentric N. P.D. of Center;" which, therefore, in this instance, represent the N.P. D. of Limb and Center at Transit of Center. (94) EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- ion was made jefore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Jorrec- ion for yUrva- ture of Path. Geocentric N. P. D. fU.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. 'abular bliquity of Ecliptic. 3. 27'. 1775. Feb. 13 Moon's U. L. . . O 1 II 35.29. 3-80 in. 28-99 o 39-50 / tt 0.41-02 / // 54. 6-77 / // 31. 12-68 s II // + 0-54 o / // 73. 29. 49-79 O 1 H 73. 44. 37-49 It 58-22 15 Moon's U. L. . . 41. 4.53-60 29-61 36-50 0. 51-54 54. 36-74 35. 41-35 + 0-40 79. 1.21-52 79. 16. 17-43 58-26 17 Moon's L. L. 49. 15. 25-30 29-86 34-50 1. 9-46 55. 24-08 41.47-06 + 0-13 87. 6. 5-49 86. 50. 56-60 58-31 19 Moon's L. L. 57.43. 4-60 30-28 36-50 1.35-51 56. 26-22 47. 31-99 0-23 95.28.25-90 95. 12.59-97 58-35 Mar. 8 Moon's L. L. 35. 1.24-70 29-47 42-50 0. 40-74 55. 2-11 31.22-98 + 0-58 73. 2. 0-13 72. 46. 57-26 58-60 13 Moon's U. L. . . 36. 56. 56-30 30-37 41-50 0. 45-14 54. 19-73 V2. 27-43 + 0-54 74.56.31-71 75.11.22-96 58-66 14 Moon's U. L. . . 39.51. 7-90 30-50 36-50 0. 50-84 54.38-10 34. 48-69 + 0-45 77. 48. 27-78 78. 3.24-07 58-66 15 Moon's U.L. .. 43.21. 2-20 30-40 38-50 0. 57-05 55. 2-17 37. 34-93 + 0-27 81. 15.42-01 81. 30.44-90 58-66 16 Moon's U. L. ( a ) 47. 17. 59-80 30-30 37-50 1. 5-39 55. 30-04 40. 35-56 + 0-22 85. 9.47-43 85. 24. 57-95 58-68 17 Moon's U. L. . . 51. 32. 25-70 29-99 38-50 1. 15-00 56. 0-49 43. 39-92 o-oo 89.21. 18-53 89. 36. 37-41 58-68 20 Moon's L. L. 64. 26. 40-70 29-78 47-50 2. 1-02 57. 33-26 51.45-20 0-45 102. 8. 14-35 101.52.30-04 58-70 23 Moon's U. L. . . 70. 49. 40-20 30-06 37-50 2. 50.78 58. 55-13 55. 29-33 0-58 108.28. 19-60 108. 44. 26-35 58-70 Apr. 9 Moon's U. L. . . 35.51. 7-40 30-24 42-50 0.43-10 54. 16-31 31.35-18 + 0-54 73.51.32-98 74. 6.23-29 58-62 11 Moon's U. L. . . 41.46. 13-10 30-03 47'5( 0. 52-34 54. 54-33 36. 22-56 + 0-36 79.42. 0-60 79.57. 1-34 58-59 12 Moon's U. L. . . 45. 34. 29-80 30-12 45-50 1. 0-20 55.25-11 39. 22-84 + 0-27 83. 27. 24-94 83.42.34-11 58-58 13 Moon's U. L. . . 49.45.41-70 30-15 43'5( 1. 10-OC 56. 0-89 42. 33-93 + 0-09 87. 35. 35-60 87. 60. 54-59 58-57 18 Moon's L. L. . . 69.34. 8-70 29-49 40-50 2. 35-59 58. 45-0! 54. 54-49 -0-59 107. 13. 7-69 106.57. 3-44 58-51 19 Moon's L. L. . . 71.16. 16-40 29'82 37-50 2. 53-66 59. 2-7 55. 45-66 0-68 108. 54. 42-27 108. 38. 33-44 58-50 20 Moon's U.L... 71. 11.23-90 29-9'- 39-50 2. 52-73 59. 12'8( 55. 53-38 0-68 108.49.41-11 109. 5.52-72 58-48 22 Moon's U. L. . . 68. 16. 8-60 29-60 43-50 2. -25-20 59. 16-00 54. 53-09 0-54 105. 54. 58-59 106.11. 11-06 58-45 May 7 Moon's U. L. . . 37. 5.45-60 29-99 61-00 0. 43-07 54. 18-24 32. 33-21 + 0-54 75. 5.13-18 75.20. 4-02 58-21 8 Moon's U. L. . . 40. 6.46-90 29-93 58-50 0.48-12 54. 34-7!J 1 34. 57-9 + 0-45 78. 3.54-78 78.18.50-16 58-20 8 Moon's U. L. . . 43.41.53-60 29-94 60-50 0. 54-37 55. 1-95 37. 49-2 + 0-2 81. 36. 16-38 81.51.19-21 58-18 10 Moon's U. L. . . 47.43.41-10 30-02 52-50 1. 3-76 55.38-11 40. 58-3 +0-1 85.35. 4-32 85. 50. 17-06 58-16 12 Moon's U. L. . . 56. 30. 37-00 29-93 48-50 1.27-94 57. 7-7 47. 27-4 o-i 94. 15.55-28 94. 31. 32-60 58-13 la Moon's U. L. . . 68. 6.21-30 29-9S 47-50 2.24-71 59. 13-9S 54. 47-4 80 before + 9-2 -o-o 105. 45. 26-25 106. 1. 38-16 58-09 1- Moon's U.L... 71.22. 16-10 29-88 42-50 2. 53-22 59. 51-7-1 56. 33-7 -0-6 108. 59. 53-45 109.16.15-71 58-07 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's ( JO p and - q cos. N. P. D. to the corrected Quadrant Readinz. 90 - p = 38. 31'. \7" -78: q = 2" -37. () Observed at Transit of 1 L. Increase of N. P. D. daring passage of Semidiameter = + 10"- 28. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (95) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1775. May 19 Moon's U. L. . . o / 69. 16. 14-70 29-86 o 38-50 / 2. 35-76 / n 59.42-18 ' U 55.40-17 i // 0-58 O ' It 106.54.28-18 O f II 107. 10. 47-83 H 58-02 21 Moon's U. L. . . 62.39. 18-10 30-13 48-50 1.53-07 58. 59-96 52. 13-47 0-36 100. 20. 15-55 100. 36. 23-62 57-99 June 4 Moon's U. L. . . 38. 35. 44-90 30- OH 68-50 0. 44-85 54. 14-48 33. 38-26 4-0-49 76. 34. 9-21 76. 48. 59-02 57-85 5 Moon's U. L. . . 41.55.59-10 29-94 69-50 0.50-21 54. 32-24 36. 14-84 + 0-36 79.51.52-19 80. 6.46-87 57-85 8 Moon's U. L. . . 54.17. 11-40 29-78 62-50 1.18-31 56. 25-80 45. 37-70 0-09 92. 4. 9-79 92.19.35-61 57-83 9 Moon's U. L. . . 58.41. 5-90 29-74 67-50 1. 31-41 57. 18-84 48. 46-75 0-27 96.25. 8-33 96. 40. 48-68 57-83 10 Moon's U. L. . . 62.52.42-10 29-71 61-50 1. 49-62 58. 14-08 51.39-09 0-40 100. 34. 10-44 100. 50. 5-94 57-82 12 Moon's U. L. . . 69. 26. 57-20 29-84 58-50 2. 30-74 59. 51-90 55.53-17 -0-59 107. 4.52-66 107. 21. 14-97 57-82 13 Moon's U. L. 71. 9.28-20 29-88 58-50 2. 45-54 60. 24-20 57. 0-02 0-68 108. 46. 31-58 109. 3. 2-74 57-82 15 Moon's U. L. . . 70. 17. 29-90 29-95 54-50 2. 39-52 60. 38-72 56. 55-43 0-63 107. 54. 31-87 108.11. 7-01 57-82 16 Moon's U. L. . . 67.47. 8-30 29-80 53-50 2. 19-80 60.21-34 55. 42-08 0-54 105. 25. 3-89 105.41.34-27 57-81 19 Moon's D. L. . . 55. 19. 49-70 29-95 58-50 1.22-50 58. 30-83 47.55-78 0-14 93. 4.34-19 93. 20. 34-28 57-80 20 Moon's U. L. . . 50. 37. 34-00 29-99 62-50 1. 9-13 57. 47-87 44. 28-76 + 0-05 88.25.32-13 88. 41. 20-43 57-81 Nov. 3 Moon's L. L. 57.33. 1"20 29-70 36-50 1. 33-08 59. 25-72 49. 57-54 0-22 95. 15. 54-52 94. 59. 39-39 58-95 9 Moon's L. L. . . 33. 34. 44-40 29-87 35-50 0. 39-69 56. 18-64 30. 56-25 40 before 2-63 + 0-07 71.35.42-31 71.20.18-46 58-86 10 Moon's L. L. . . 32. 29. 17-70 29-79 33-50 0.38-13 55.38-01 29. 40-63 + 0-72 70.31.32-91 70. 16. 20-20 58-85 13 Moon's L. L. . . 35. 20. 29-70 29-20 40-50 0.41-01 54. 18-31 31. 12-81 + 0-58 73. 21. 15-58 73. 6.24-72 58-80 15 Moon's L. L. 41. 14. 29-40 29-50 32-50 0. 52-07 54. 16-75 35. 35-24 + 0-40 79.11. 3-97 78. 56. 13-53 58-76 29 Moon's L. L. 63. 47. 12-80 29-61 47-50 1. 56-90 59. 13-30 52. 67-26 0-40 101. 27. 30-29 101.11. 18-55 58-60 Dec. 2 Moon's L. L. 49. 30. 25-80 30-015 48-50 1. 8-44 58. 22-08 44. 11-25 + 0-13 87. 18.40-79 87. 2.43-10 58-57 8 Moon's U. L. . . 31.40.39-10 30-25 38-50 0.37-13 55. 18-80 28. 50-51 + 0-72 69. 43. 43-40 69. 58. 50-84 58-53 9 Moon's L. L. . . 32.43.21-40 30-38 34-50 0.39-15 54. 50-45 29. 26-61 + 0-72 70.45.51-66 70.30.51-99 58-52 10 Moon's L. L. 34. 13. 28-70 30-41 28-50 0. 42-02 54. 28-18 30.26-16 + 0-63 72.15. 225 72. 0. 8-68 58-53 12 Moon's L. L. . . 39. 34. 37-10 30-21 27-50 0. 50-82 54. 8-46 34. 17-91 + 0-50 77. 32. 27-78 77.17.39-62 58-51 16 Moon's L. L. 55.42. 4-50 30-39 28-50 1.30-34 55.35-19 45. 44-39 -0-14 93.29. 8-23 93. 13. 56-30 58-51 n Moon's L. L. 60. 2. 35-00 30-41 29-50 I. 46-65 56. 20-68 48. 38-53 -0-27 97.47. 0-95 97. 31. 36-53 58-52 29 Moon's L. L. 51. 9.37-80 29-76 36-50 1.13-74 58. 28-24 45. 20-68 + 0-05 88.56.48-65 88.40.49-27 58-59 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38.31'. 17" 78: q = 2" "37. (96) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatore;il Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.1X of Center at Transit of 1 L. or 2 L. Tabulat Obliquity of Ecliptic. 23. 27'. 177(5. Jan. 26 Moon's L. L. O f II 43. 1.14-30 in. 29-69 o 23-50 / // 1. 7-69 / // 58. 43-44 / // 43. 27-08 8 // II + 0-18 1 li 85. 50. 12-70 o / n 85.34. 9-15 // 59-09 28 Moon's L. L. . . 39.21.52-30 29-92 15-50 0. 51-27 57. 4-91 35. 59-89 + 0-50 77. 18. 1-44 77. 2.24-91 59-14 29 Moon's L. L. 36. 7.36-00 29-79 18-50 0.45-13 56. 21-75 33. 1-43 + 0-54 74. 6.37-37 73.51. 12-67 59-17 30 Moon's L. L. . . 33. 48. 25-80 29-94 17-50 0.41-70 55. 44-36 30. 48-53 + 0'63 71.49.36-64 71.34.22-18 59-19 31 Moon's L. L. 32. 29. 36-80 29-94 13-50 0.40-01 55. 12-80 29. 27-46 + 0-72 70.32. 7-06 70.17. 1-26 59-22 Feb. 5 Moon's L. L. 40. 16. 50-30 28-83 40-50 0.48-38 53.57-12 34.41-20 + 0-45 78. 14. 15-23 77.59.30-17 59-34 6 Moon's L. L. 43. 56. 8-60 28-80 36-50 0. 55-39 53. 58-48 37. 15-50 -I-0-27 81.51. 6-20 81.36.20-78 59-37 11 Moon's L. L. 64. 24. 53-50 28-90 35-50 2. 0-27 56. 0-85 50.21-34 0-45 102. 7.50-26 101.52.31-28 59-49 12 Moon's L. L. 67. 48. 57-20 29-52 38-50 2. 23-07 56.51-30 52.29-13 0-54 105.30. 17-91 105. 14.45-11 59-52 28 Moon's L. L. 32. 9.58-50 29-15 40-50 0. 36-32 55. 1-53 29. 5-47 + 0-72 70.12.56-91 09. 57. 53-20 59-85 29 Moon's U. L. . . 32. 5.23-60 29-32 39-50 0. 36-50 54. 33-50 28. 46-88 + 0-72 70. 8.39-78 70. 23. 34-80 59-87 Mar. 1 Moon's TJ. L. . . 33. 28. 52-60 29-56 38-50 0. 38-89 54. 13-64 29. 42-84 + 0-63 71.31.15-17 71.46. 4-76 59-89 2 Moon's U. L. . . 35. 43. 13-60 29-68 34-50 0. 42-81 54. 1-49 31.20-51 -(-0-54 73.44. 0-85 73.58.47-10 59-90 5 26 Moon's L. L. Moon's L. L. 46. 37. 24-80 32. 6. 1-70 29-83 30-15 40-50 42-50 1. 2-48 0. 37-31 54. 2-88 55. 46-76 39. 5-62 29. 26-14 + 0-27 + 0-72 84. 30. 46-79 70. 8.36-28 84. 16. 0-16 09.53.21-17 59-96 23'. 28'. 0-12 29 Moon's U. L. . . 34. 45. 40-20 30-15 41-50 0.41-36 54. 13-45 30. 42-95 + 0-5& 72.47. 1-98 73. 1.51-51 0-12 30 Moon's U. L. . . 37.30.51-10 30-30 45-50 0. 45-59 54. 2-04 32. 42-35 + 0-54 75. 30. 17-79 75.45. 4-19 0-12 31 Moon's U. L. . . 40. 53. 4-60 30-32 50-50 0. 50-92 53.595535. 8'63 + 0-40 78. 50. 10-34 79. 4.56-06 0-12 Apr. 1 Moon's U. L. . . 44.43.31-20 30-25 50-50 0. 58-10 54. 4-53 37.51-59 + 0-27 82. 38. 1-19 82. 52. 48-28 0-12 2 Moon's U. L. . . 48. 53. 12-80 30-20 47-50 1. 7-49 54. 15-87 40.41-65 + 0-13 86.45. 2-15 86. 59. 52-35 0-10 3 Moon's L. L. (') Moon's U. L. ( b ) 53. 42. 51-80 53. 13. 4-00 30-11 50-50 1. 19-44 1.18-02 54. 32-57 54. 32-57 43. 47-06 43. 29-97 0-05 0-05 91.31.49-67 91. 2. 15-56 91. 16.54-90 91. 17. 10-33 0-10 4 Moon's U. L. . . 57. 32. 13-40 30-08 38-50 1. 33-83 54. 53-98 46. 8-53 0-27 95. 19. 2-18 95.34. 2-82 0-09 5 Moon's L. L. 62. 10. 45-70 30-04 37-50 1. 53-05 55. 19-22 48. 45-48 0-36 99. 55. 16-85 99.40. 9-30 0-09 6 Moon's L. L. 65.56. 6-40 29-95 40-75 2. 12-07 55.47-86 50.47-18 8 after 1-15 0-69 103. 38. 53-55 103.23.38-13 0-08 9 23 Moon's U. L. Moon's U. L. . . 72. 12. 26-90 31.15.48-30 29-98 29-97 32-50 58-50 3. 6-23 0. 34-74 57. 33-23 55. 55-66 54. 38-77 28.49-01 0-72 + 0-72 109.52.17-99 69. 18. 57-40 110. 8. 2-29 69. 34. 14-96 0-07 23. 27'. 59-93 24 Moon's L. L. ( c ) 32. 29. 19-20 29-79 59-50 0.36-15 55. 13-77 29. 27-68 +0-72 70.31.51-09 70. 16. 45-03 59-91 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in (he Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. L>. is formed by adding Olufsen's 90- p and q cos. N. P. U. to the corrected Quadrant Reading. 90-p = 38.31'. 17"-78: q = 2"'37. From 1776, Feb. 12, 90-p=33.31'.26" '66 : q=2" 42. From 1776, March 2, 90- p =38. 31'. 25" '09: q=2"'44. From 1776, March 26, 90 p= 38. 31'. 23" -52 : q=2''-45. (*) Observed at Transit of 1 L. Correction applied for defective illumination, + !" 95. ( b ) Observed at Transit of 2 L. (*) Observed Z. D. increased 2 Verniers. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (97) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatorial Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L.orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular )bli(jiiity of Ecli|>tic. 23. 27'. 1770. O ' a i,,. o / H / H i a g // O / ft o r a - Apr. 25 Moon's U. L. . . 33. 40. 55-30 29-81 59-50 0. 37-85 54.41-41 30. 7-63 + 0-63 71.42.48-90 71. 57. 46-09 59-90 27 Moon's U. L. . . 39.23.57-10 30-20 54-50 0. 47-73 54. 8-68 34. 10-12 + 0-45 77.21.58-14 77. 36. 46-36 59-87 29 Moon's U. L. . . 47.13. 7-10 30-05 63-50 1. 2-57 54.16-81 39. 38-85 + 0-22 85. 5.5435 85. 20. 44-80 59-84 30 Moon's U. L. . . 51.32.39-10 30-11 49-50 1.13-61 54.3341 42. 32-15 o-oo 89. 22. 44-05 89. 37. 39-05 59-83 May 1 Moon's U. L. . . 55. 56. 55-00 30-12 49-50 1. 26-47 54.56-31 45. 20'20 0-18 93. 44. 24-77 93. 59. 26-05 59-81 3 Moon's U. L. . . 64. 10. 0-90 29-63 52-50 1.58-25 55. 53-95 50. 11-15 0-45 101.59.11-58 102. 14. 28-67 59-78 5 Moon's U. L. . . 70. 26. 54-30 29-29 49-50 2. 38-94 56. 57-65 53. 31-07 0-63 108. 7.25-82 108.23. 0-36 59-76 6 Moon's U. L. . . 72. 8.36-80 29-65 47-50 2. 57-77 57. 29-75 54. 33-29 0-72 109. 48. 24-91 110. 4. 7-97 59-74 7 Moon's U. L. . . 72. 38. 46-90 29-56 47-50 3. 2-58 57. 58-43 55. 10-76 0-72 110.18. 2-37 110.33.53-57 59-73 10 Moon's U. L. . . 66. 32. 26-40 30-07 49-50 2. 13-94 59. 13-57 54. 9-40 -0-54 104.11.54-52 104.28. 6-33 59-68 22 Moon's U. L. () 32. 36. 18-30 30-00 56-50 0. 36-79 55. 14-32 29. 33-59 5 after -0-36 + 0-60 70.38.44-45 70. 53. 50-66 59-54 24 Moon's U. L. .. 37. 48. 34-90 30-10 53-50 0. 45-03 54. 23-88 33. 8-89 + 0-54 75. 47. 34-50 76. 2.26-89 59-52 28 Moon's U. L. 54. 1.41-60 29-94 58-50 1. 18-62 64.48-47 44. 10-29 0-09 91.50. 13-44 92. 5. 12-57 59-48 29 Moon's U. L. . . 58. 25. 38-50 29-83 62-50 1.31-68 55. 17-50 46. 55-68 -0-27 96.11.38-01 96.26.45-10 59-47 30 Moon's U. L. . . 62.38. 7-40 29-75 58-50 1.49-29 55.52-01 49. 26-55 0-36 100.21.53-74 100. 37. 10-29 59-46 31 Moon's U. L. . . 66.25. 41-20 29-77 55-50 2. 10-29 56. 29-85 51. 37-00 0-54 104. 7.38-07 104.23. 4-99 59-46 June 1 Moon's U. L. . . 69. 33. 19-00 29-68 56-50 2. 31-39 57. 8-24 53. 22-62 0-59 107. 13.51-43 107. 29. 28-88 59-44 2 Moon's U. L. . . 71.44.46-30 29-85 58-50 2. 50-98 57. 44-60 54. 40-81 0-72 109. 24. 20-08 109.40. 7-50 59-44 4 Moon's U. L. . . 72.26. 9-10 29-77 57-50 2. 57-88 58. 42-30 55. 48-59 -0-72 110. 4.42-03 110.20.45-26 59-43 7 Moon's U. L. . . 63.53.31-00 29-55 47-50 1. 57-20 59. 18-46 53. 4-54 -0-45 101.33.47-22 101.50. 0-37 59-42 22 Moon's U. L. . . 43.30.28-10 29-80 65-50 0. 53-23 54.13-38 37. 8-06 , + 0-27 81. 25. 36-69 81. 40. 26-20 59-44 23 Moon's U. L. . . 47.40.13-80 29-82 63-50 1. 1-8-2 54. 16-49 39. 55-98 + 0-18 85.32.43-15 85. 47. 33-52 59-45 25 Moon's U. L. . . 56.25. 13-10 29-90 60-50 1.25-45 54. 55-28 45. 34-48 -0-18 94.12.27-59 94. 27. 28-58 59-46 30 Moon's U. L. . . 72. 29. 14-90 , 29-88 55-50 2. 59-82 58. 28-01 55. 35-97 0-72 110. 8. 2-39 110.24. 1-71 59-50 July 3 Moon's U. L. . . 69. 7.52-40 29-88 57-50 2. 28-77 59. 49-69 55. 36-33 0-59 106.46. 8-48 107. 2.30-18 59-55 6 Moon's U. L. . . 55. 49. 38-90 29-44 55-50 1.23-12 59.29-18 49. 1-12 0-18 93. 33. 24-39 93. 49. 40-48 59-59 8 Moon's U. L. . . 45. 30. 30-00 29-87 60-50 0. 57-77 58. 39-84 41.38-33 10 after + 1-99 + 0-37 83.21. 15-04 83. 37. 17-60 59-62 The Moon's U. L. or L. L. was usually observed when tlie bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" : 52 . q = 2" '45. ( a ) Observed Z. D, increased 2 Verniers. GREENWICH LUNAR REDUCTIONS. (O) (98) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. 'her- mo- meter. Refrac- tion. Tabular lorizontal Squatoreal Parallax. 'arallax. Interval at which Observa- tion was made )efore or after the bright Limb passed the Meridian. Cor- cction for nter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. < of Center at Transit of 1 L. or 2 L. , Tabular Obliquity of Ecliptic. !3.27'. 59-831 1776. July 20 Moon's U. L. . . O I il 5. 55. 40-90 9-70 o 2-50 // . 56-91 / // 54. 6-52 / /' 8. 40-93 a II + 0-27 O 1 11 83. 49. 20-41 O / n 84. 4. 8-04 22 Moon's U. L. . . 54.33.38-20 29-75 9-50 . 17-92 54.27-15 4. 10-86 0-14 92.22. 8-74 92.37. 2-03 59-87 24 Moon's U. L. . . 62. 56. 50-60 29-93 5-50 1.49-87 55. 29-04 9. 14-53 0-40 00. 40.49-11 00. 55. 59-36 59-92 25 Moon's U. L. . . 66. 37. 46-50 30-14 5-50 2. 10-52 56. 13-88 1.27-15 0-54 04. 19.53-86 04.35.16-41 59-95 26 28 Moon's U. L. . . Moon's U. L. . . 69.40.41-10 72. 47. 47-60 30-11 30-11 65-50 59-50 2.31-78 3. 3-08 57. 5-62 58. 54-48 3. 18-32 56. 6-88 0-63 0-76 07.21. 18-18 10.26. 7-42 07.36.54-91 10. 42. 13-99 59-96 23. 28'. o-oi 29 Moon's ILL. .. 72. 22. 36-20 30-06 64-50 2. 56-45 59. 41-86 56. 44-09 0-72 10. 0. 12-20 10. 16.31-76 0-04 30 Moon's L. L. () 71. 1.49-00 30-19 58-50 2. 46-07 60. 17-36 56. 51-17 108.39. 8-20 108. 22. 38-91 0-07 31 Moon's U. L. . . 67.12.56-70 30-19 57-50 2. 16-63 60. 37-7 55. 43-26 0-54 104. 50. 53-68 105. 7.28-54 0-11 Aug. 1 Moon's U. L. . . 62.51.57-60 30-09 59-50 1.51-41 60. 40-34 53. 48-47 0-40 100.31.24-11 100. 47. 59-69 0-12 2 Moon's U. L. . . 57. 48. 23-00 30-03 61-50 1. 30-28 60. 26-57 50.57-18 -0-27 95. 30. 19-59 95.46.51-41 0-14 1 Moon's U. L. . . 52.26.29-10 30-00 59-50 1. 14-22 59. 59-2 47. 20-99 o-oo 90. 11.45-86 90. 28. 10-19 0-17 6 Moon's U. L. .. 38. 0. 1-90 29-72 54-50 0. 44-68 57. 57-6 35. 28-31 + 0-54 75.56.41-73 76. 12. 32-72 0-25 21 Moon's U. L. . . 65. 14. 45-90 30-00 63-50 2. 2-3 55. 21-7 50. 6-59 0'5( 102.58. 5-22 103. 13. 13-47 0-59 23 Moon's U. L. . . 71. 1.18-90 29-99 62-5 2. 43-5 56. 58-4 53. 43-23 0-67 108.41.42-88 108. 57. 17-66 0-64 25 Moon's L. L. . 73. 20. 19-60 30-02 57-5 3. 9-4 58. 56-1 56.18-54 0-7" 110.58.34-15 110.42.27-12 0-69 27 Moon's L. L. . 69. 37. 30-70 29-8 50-5 2. 34-7 60. 36-9 56.39-42 0-60 107. 14.49-63 106. 58. 14 96 0-71 28 Moon's L. L. . 65.45. 0-20 29-6 54-5 2. 6-1 61. 6-4 55. 32-20 -0-50 103. 22. 57-76 103. 6. 15 02 0-76 3 Moon's U. L. . 54.52. 9-80 29-5 52-5 1.21-0 61. 5-2 49. 45-37 0-14 92.35. 8-98 92. 51. 61-40 0-80 Sep. 4 Moon's U. L. . 32. 49. 22-40 29-5 50-5 0. 36-9 57. 12-9 30. 48-07 + 0-6 70. 50. 34-71 71. 6. 13-45 0-90 2 Moon's U. L. . 72. 13. 26-80 30-1 50-5 3. 0-5 56. 45-3 53. 53-60 -0-7 109. 53. 57-3! 110. 9.28-50 1-09 2 Moon's U. L. . 73. 0. 7-30 30-2 49-5 3. 10-2 57. 39-5 54. 51-58 -0-7 110.39.49-57 110.55.35-58 1-09 2 Moon's L. L. . 73. 2.24-60 30-1 49-5 3. 9-6 58. 37-5 55. 55-41 104 after +4-99 0-3 110.41. 7-79 110.25. 5-87 1-10 2 Moon's L. L. . 71.11. 2-70 29-8 49-5 2. 48-7 59. 34-6 56. 14-01 -0-6 108.49. 3-1 108. 32. 45-60 1-10 2 Moon's L. L. . 67.59. 3-6C 29-7 53-5 2.21-0 60. 25-2 55. 50-65 -0-5 105. 36. 59-7 105. 20. 28-29 1-11 2 Moon's L. L. . 58. 23. 20-2C 29-3 49-5 1. 32-5 61.22-7S S52. 4-62 -0-2 96. 4. 13-67 95. 47. 26-45 1-12 2 Moon's L. L. . 52. 42. 41-5C 29-5 50-5 1.15-1 61.21-3$ * 48. 36-52 O'Ot 90. 26. 45-78 90. 9. 58'95 1-13 The Moon's U. L. or I,. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90'-p and - q cos. N. P. D. to the corrected Quadrant Reading. 90-p=38.31'.23"-52: q = 2'"45. 4 From 1776, Sep. 23, 90-p=38. 31'. 25" '60 -. q = 2"'47. () Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = 7" '52. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," " Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (99) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatorcal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Iamb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1770. Sep. 28 Moon's L. L. O ' // 47. 3. 4-80 in. 29-71 o 52-50 / // 1. 1-63 / // 60. 58-83 / // 44. 25-33 // t + 0-22 o / /' 84.51. 6-70 O 1 II 84. 34. 26-04 II 1-13 29 Moon's U. L. . . 41. 16.44-30 29-92 50-50 0. 50-94 60. 18-17 39. 33-86 + 0-40 79. 9.26-92 79. 25. 56-44 1-14 Oct. 1 Moon's U. L. . . 33.34. 8-80 29-88 53-50 0. 38-24 58. 25 58 32. 5-38 + 0-63 71.34. 7-11 71.50. 5-76 1-12 18 Moon's L. L. 73.38. 8-50 30-08 54-50 3. 14-57 56.41-71 54.15-17 10 after + 0-23 0-56 111. 18.36-14 111. 3. 5-96 1-05 19 Moon's L. L. 73. 36. 46-40 29-72 55-50 3. 11-58 57.26-38 54. 57-51 -0-76 111.16.28-28 111. 0.45-86 1-03 21 Moon's L. L. 69.42.57-10 29-88 52-50 2. 34-97 59. 4-27 55. 14-74 0-59 107.21.45-15 107. 5.35-89 1-02 22 Moon's L. L. 65. 56. 14-60 29-96 56-50 2. 7-90 59. 50-79 54. 28-32 115 after +19-59 -0-45 103.35.41-57 103. 19. 19-56 1-00 27 Moon's L. L. 39.29.51-10 29-90 42-50 0. 48-60 60. 20-12 38. 9-45 + 0-50 77. 23. 57-88 77. 7.27-83 0-94 29 Moon's U. L. . . 32. 5. 1-50 29-93 49-50 0. 36-49 58. 39-51 30. 56-35 +0-72 70. 6. 9-19 70.22. 11-66 0-92 30 Moon's U. L. .. 30.37. 17-60 29-79 42-50 0. 34-79 57. 40-69 29. 9-89 + 0-76 68. 40. 10-03 68. 55. 56-37 0-90 31 Moon's L. L. 31. 1.29-20 29-88 35-50 0. 35-98 56. 43-75 29. 1-75 + 0-76 69. 4.30-97 68.49. 0-24 0-89 Nov. l Moon's L. L. 32. 6.45-30 29-66 41-50 0. 36-80 55. 52-79 29.29-91 +0-72 70. 9.19-74 69.54. 2-97 0-88 2 Moon's L. L. 34. 13. 33-90 29-96 34-50 0. 40-88 55. 10-67 30. 49-96 + 0-63 72. 14. 52-36 71.59.47-15 0-85 3 Moon's L. L. 37. 9.47-10 30-06 38-50 0. 45-32 54. 38-78 32. 48-69 + 0-54 75. 9.11-30 74. 54. 14-83 0-84 17 Moon's L. L. 70.56. 8.70 29-73 44-50 2. 47-45 58. 8-57 54. 47-85 0-63 108.35.36-13 108. 19. 42-14 0-66 18 Moon's L. L. 67.37. 5-40 29-63 49-50 2. 19-00 58. 43-21 54. 7-79 0-54 105.16.44-39 105. 0.40-90 0-65 20 Moon's L. L. 58. 16. 57-00 29-24 45-50 1.32-51 59. 44-54 50. 37-78 -0-27 95. 59. 19-39 95.42.59-10 0-62 21 Moon's L. L. . . 52. 48. 37-40 29-76 37-50 1. 18-06 60. 4-99 47. 39-79 o-oo 90. 33. 43-36 90. 17. 17-47 0-61 23 Moon's L. L. 41.58.39-40 29-12 40-50 0.51-87 60. 8-75 40. 0-71 +0-36 79.50.58-15 79. 34. 31-22 0-59 24 Moon's L. L. 37. 23. 15-30 29-98 34-50 0. 45-95 59. 48-72 36. 5-99 + 0-54 75. 19. 22-84 75. 3. 1-40 0-58 25 Moon's L. L. 33. 50. 1-00 30-19 30-50 0. 40-93 59. 14-57 32. 46-06 + 0-63 71.49.23-40 71.33.11-32 0-56 26 Moon's L. L. 31.34.55-10 30-14 27-50 0. 37-72 58. 30'41 30. 25-52 + 0-77 69. 36. 34-88 69. 20. 34-90 0-55 30 Moon's L. L. 35.37. 11-60 29-43 49-50 0. 40-99 55. 17-99 32. 0-24 -r-0-58 73. 37. 19-90 73. 22. 12-68 0-52 Dec. 1 Moon's L. L. 39. 0.26-00 29-90 46-50 0. 47-37 54. 45-49 34. 16-02 + 0-50 76.58.24-96 76. 43. 26-65 0-51 2 Moon's L. L. 42. 54. 55-90 29-88 42-50 0. 54-76 54. 23-29 36. 50-39 + 0-36 80. 50. 27-91 80. 35. 35-68 0-49 3 Moon's L. L. 47. 10. 5-70 29-85 48-50 1. 2-68 54.12-18 39. 33-63 + 0-22 85. 3. 2-43 84.48.13-25 0-49 16 Moon's L. L. 64. 52. 38-40 29-65 38-50 2. 5-17 58. 49-53 53. 5-26 0-45 102.33. 6-07 102.17. 0-85 0-48 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 25" -60: q = 2"'47. From 1776, Oct. 18, 90-p=38.31'. 27" -67 : q = 2*'48. (0)2 (100) REDUCTION or GREENWICH LUNAR OBSEKVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made* before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion lor Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.1X of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1776. O t II in. o / // / // / // // // O I li Q / II " Dec. 17 Moon's L. L. GO. 5. 34'8( 29-59 30-50 1.43-76 59. 4-14 51. 1-16 -0-27 97.47.45-14 97.31.35-92 0-48 13 Moon's L. L. . . 54.50. 0-10 29-44 32-50 1. 24-02 59. 14-80 48. 14-35 0-09 92. 34. 43-46 92. 18. 31-32 0-48 18 Moon's L. L. 49.24.17-70 29-35 33-50 1. 8-77 59. 20-31 44. 51-20 + 0-13 87. 12. 2-95 86. 55. 49-30 0-49 21 Moon's L. L. . . 39. 19. 53-30 29-66 45-50 0. 47-63 59. 11-27 37. 17-94 + 0-49 77. 14.50-60 76. 58. 39-43 0-50 23 Moon's L. L. 32. 28. 54-80 29-68 36-50 0. 37-74 58. 27-94 31. 10-95 + 0-72 70.29.49-15 70. 13. 49-85 0-52 24 Moon's L. L. 30.55.59-10 29-59 35-50 0. 35-49 57. 54-15 29. 33-01 + 0-76 68.58.29-12 63. 42. 39-09 0-52 30 Moon's L. L. 45. 12.44-60 29-57 23-50 1. 1-13 54. 25-47 38. 26-08 + 0-27 S3. 6.45-77 82.51.52-95 0-59 1777. Jan. 1 Moon's L. L. . . 54. 6.51-00 29-86 29-50 1. 23-52 54. 15-00 43.46-41 0-09 91.55.54-25 91.41. 4-30 0-02 13 Moon's L. L. 61. 44.44-40 29-47 48-50 1. 40-45 59. 27-04 52.11-11 0-31 99. 25. 44-46 99. 9.28-97 0-82 10 Moon's L. L. 4-3. 45. 38-50 29-80 44-50 1. 0-06 59. 2-65 42. 5-60 + 0-27 83. 35. 57-57 83. 19. 48-75 0-89 20 Moon's L. L. 31.23.43-90 29-67 30-50 0. 36-63 57. 33 68 29. 46-43 -I-0-76 69. 25. 58-60 69. 10. 14-18 0-99 27 Moon's L. L. 47.45. (i'90 29-68 36-50 1. 5-21 54. 20-28 40. 2-05 + 0-22 85.37.34-71 85.22.4331 1-17 28 Moon's L. L. 52. 14.43-10 29-78 28-50 1. 18-01 54.11-51 4-2. 39-85 o-oo 90. 4.45-88 89.49.56-89 1-20 29 Moon's L. L. 50. 43. 22-70 29-67 26-50 1.32-03 54. 12-31 45. 8-53 0-18 94.31. 10-84 94. 16. 21 62 1-22 30 Moon's L. L. 61. 2.29-10 29-98 26-50 1. 50-18 54. 24-01 47. 25-88 0-31 98.43. 18-09 98. 33. 25-66 1-25 Feb. 1 Moon's L. L. 68.35.11-30 29-48 36-50 2.29-11 55. 19-38 51.20-99 0-54 106.17.44-20 106. 2.30-60 1-31 2 Moon's L. L. 71.26. 6-20 29-46 34-50 2. 54-26 56. 1-67 V2. 57-78 0-68 109. 7.27-44 108.52. 9-60 1-34 15 Moon's L. L. 34. 12. 38-90 29-30 33-50 0. 40-04 58. 4-88 32. 26-52 + 0-63 72.12. 16-91 71.56.2394 1-66 16 Moon's L. L. 31.49.27-40 29-30 29-50 0. 36-86 57. 28-30 30. 5-61 + 0-72 69.51.23-13 69.35. 40-19 1-68 17 Moon's L. L. 30. 42. 24-40 29- 15 31-50 0. 34-95 56. 53-51 28. 50-47 + 0-81 68. 45. 33-40 68. 30. 0-00 1-71 19 Moon's U. L. . . 31.44. 13-00 29-38 18-50 0. 37-72 55. 50-93 29. 10-23 + 0-72 69.47. 4-97 70. 2.21-23 1-70 22 Moon's U. L. . . 41. 19.20-50 29-15 39-50 0. 50-85 54.38-10 35. 5-2-60 23 after -3-76 + 0-69 79. 15.39-83 79.30.36-12 1-82 24 Moon's L. L. 50.35.41-70 29-63 43-50 1. 10-91 54. 9-92 41.40-06 + 0-01* 88.26.37-19 88. 11.48-63 1-87 25 Moon's L. L. 55. 7. 14-10 29-83 46-50 1.23-56 54. 4-90 44. H-33 -0-14 92. 55. 50-94 92.41. 3-75 1-89 26 Moon's L. L. 59.31.35-10 29-80 43-50 1.39-40 54. 7-45 16. 28-68 0-27 97. 18. 10-49 97. 3.2-2-00 1-91 Mar. 14 Moon's L. L. 35. 7.20-20 29-64 42-60 0.41-12 59. 4-82 J3. 46-39 + 0-58 73. 5.40-86 72.49.31-45 2-16 18 Moon's U. L. . . 31. 3. 14-70 29-46 50-50 0. 34-42 55. 57-97 28. 39-69 + 0-7-4 69. 6.35-36 69.21.53-65 2-19 The Moon's U. L or L. L. wns usually observed when the bright 1 L. or 2L. was passing the Meridian. I he Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which Has observed with theTiansit. J he N. 1'. 1). is formed by adding Olufsen's 90-p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 -p = 38.31'.2?"-67 : q = 2-''48. From 1776, Dec. 30, 90- p = 34. 31'. If," -15 : q=2'' 4'J. "From 1777, Jan. 13, 9v adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 27" -56: q = 2" '55. From 1777. Oct. 6, 90 -p = 38. 31'. 26" "12 : q = 2f> -67. (104) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1777. Nov. 7 Moon's L. L. / " 73.17.20-10 in. 30-08 o 41-50 / // 3. 15-64 / /* 56. 23-73 / a 53.52-11 I // 0-72 o / // 110.58. 8-58 / /' 110.42.43-34 H 3-19 8 Moon's L. L. 70.19. 7-00 29-40 41-50 2.41-09 57.15-44 53. 45-41 0-63 107. 59. 27-59 107.43.48-17 3-17 9 Moon's L. L. . . (56. 15. 31-50 29-64 37-50 2.13-59 58. 12-43 53. 6-79 0-54 103.56. 3-11 103.40. 8-07 3-15 11 Moon's L.L. 55. 35. 38-00 29-62 48-50 1.24-09 60. 5-05 49. 22-56 100 after +23-68 -0-08 93. 19. 27-97 93. 3. 2-06 3-13 14 Moon's L. L. f) 38. 1.16-10 30-00 35-50 0. 46-94 61. 25-99 37. 36-98 + 0-54 ^ 75. 55. 50-60 75. 39. 2-50 3-09 15 Moon's L. L. 33.31. 9-40 30-07 34-50 0. 39-95 61.12-21 33. 34-35 -r-0'63 71.29.39-43 71. 12. 55-10 3-08 16 Moon's L. L. 30.28.45-90 30-23 36-50 0. 35-54 60. 38-39 30. 32-05 + 0-81 68. 30. 13-86 68. 13.38-81 3-06 IS Moon's L. L. 29. 29. 30-50 30-19 41-50 0. 33-76 58. 50-85 28. 45-18 + 0-81 67.32.43-51 67. 16. 37-93 3-04 19 Moon's L. L. 31.21. 1-60 30-06 43-50 0. 36-05 57.50-11 29. 52-59 + 0-72 69.23. 9-48 69. 7.20-56 3-03 22 Moon's L. L. 42.40. 3-90 29-90 47-50 0. 53-78 55. 18-53 37. 17-25 + 0-36 80. 35. 5-02 80. 19. 57-65 3-00 23 Moon's L. L. 47. 23. 50-30 30-00 36-50 1. 5-10 54. 45-23 40. 6-71 + 0-18 85. 16. 13-32 85. 1. 15-08 2-98 Dec. 6 Moon's L. L. 67. 56. 25-00 29-51 33-50 2. 25-44 57. 5-88 52. 45-44 -0-54 105.37.29-89 105.21. 53-09 2-89 7 Moon's L. L. 63. 23. 56-90 29-65 35-50 1. 58-03 57. 52-08 51.34-15 0-36 101. 5.45-64 100. 49. 56-18 2-89 11 Moon's L. L. . . 40.51.26-60 29-41 42-50 0.50-16 60. 42-67 39. 29-82 + 0-45 7S.44. 11-53 78. 27. 35-31 2-89 13 Moon's L. L. . . 31.56.40-50 30-19 38-50 0. 37-44 60. 56-34 32. 1-08 + 0-72 69.56.41-31 69.40. 1-34 2-89 16 Moon's L. L. 30. 9. 59-50 30-00 33-50 0. 35-05 59. 3-98 29. 27-82 + 0-81 68. 12.31-19 67.56.22-01 2-89 21 1778. Jan. 17 Moon's L. L. Moon's L. L. 50. 22. 52-70 48. 17. 5-70 29-60 29-45 26-50 35-50 1. 12-87 1. 6-05 54.51-26 55. 35-90 42. 4-07 41. 18-58 -1-0-09 -r-0'18 88. 13.26-18 86. 8.17-84 87. 58. 26-28 85. 53. 5-70 2-93 3-38 18 Moon's L. L. 53. 17. 54-00 29-15 39-50 1. 17-60 54. 58-84 43. 53-87 o-oo 91. 6.42-36 90.51.40-39 3-40 19 Moon's L. L. 58. 10. 16-20 29-29 43-50 1. 32-65 54. 31-62 46. 9-25 0-27 95.57. 4-30 95. 42. 9-79 3-43 21 Moon's L. L. 66. 53. 26-80 28-44 39-50 2. 11-52 54. 9-79 49. 39-69 , 0-54 104. 37. 23-47 104. 22. 34-94 3-47 Feb. 5 Moon's L. L. 34. 51. 58-50 29-72 36-50 0.41-36 59. 17-94 33.40-88 + 0-63 72. 50. 23-47 72. 34. 10-47 3-87 7 Moon's L. L. 29. 24. 45-40 29-71 41-50 0.33-11 59. 12-37 28.51-42 + 0-81 67.27.51-51 67. 11.40-03 3-92 9 Moon's U. L. . . 29.38.11-60 29-99 31-50 0. 34-45 58. 35-50 28. 45-34 + 0-81 67.41.25-14 67.57.26-51 3-98 Mar. 12 Moon's U. L. (") 43. 26. 47-00 30-20 32-50 0. 57-58 56. 10-86 38. 25-95 J + 0-27 81.20.43-16 81.36. 4-88 4-63 13 Moon's U. L. . . 48. 34. 17-00 30-31 29-50 1. 9-56 55. 39-63 41. 32-35 +0-18 86. 25. 18-90 86. 40. 32-06 4-64 15 Moon's L. L. 59. 13. 24-40 30-18 36-50 1.40-94 54. 45-26 46. 52-28 0-27 96.59.37-81 96. 44. 39-56 4-66 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. Tjhe Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. I), is formed by adding Olnfsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. From 1777, Nov. 7,90- p = 38. 31'. 24" '68: q = 2" "78. (") Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = 14"- 70. ( b ) Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 12" '72. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (105) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tubular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion wag made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1778. Mar. 18 Moon's L. L. O ' // 71.24. 5-50 29-87 o 38-50 2. 54-87 54. 9-98 51. 11-60 1 u u 0-72 O 1 II 109. 7. 13-64 o / // 108. 52. 25-06 II 4-69 Apr. 2 Moon's L. L. 30. 1.32-30 29-39 60-50 0. 32-30 59. 35-60 29. 35-94 + 0-81 68. 3.53-11 67. 47. 35-27 4-74 3 Moon's U. L. . . 28. 3.34-20 29-37 54-50 0.30-14 59. 0-61 27. 32-28 40-90 66. 7.56-51 66.24. 2-96 4-74 4 Moon's U. L. . . 28. 17. 8-40 29-57 49-50 0. 30-94 58. 22-51 27. 26-68 + 0-90 66.21.37-12 66. 37. 34 93 4.74 5 Moon's U. L. . . 30. 1.47-70 29-77 50-50 0. 33-39 57. 44-30 28. 40-82 4-0-81 68. 5. 4-72 68. 20. 52-05 4-74 6 Moon's U. L. 33. 2.27-40 29-78 51-50 0. 37-51 57. 7-37 30. 56-01 + 0-63 71. 3.33-31 71. 19. 10-51 4-73 7 Moon's U. L. . . 37. 0.55-30 30-11 51-50 0. 43-95 56. 32-89 33. 50 12 + 0-54 74. 59. 13-63 75.14.41-39 4-73 8 Moon's U. L. . . 41.39. 4-50 30-00 48-50 0. 51-97 56. 1-05 37. 1-54 40-36 79. 34. 19-47 79. 49. 38-50 4-73 9 Moon's U. L. . . 46. 40. 28-90 30-00 50-50 1. 1-66 55. 32-01 40. 12-14 40-27 84.32.43-11 84.47. 54-18 4-73 10 Moon's U. L. 51.50.27-50 30-12 51-50 1. 14-12 55. 6-16 43. 8-32 o-oo 89. 39. 57-96 89. 55. 1-94 4-73 11 Moon's U. L. (') 56. 56. 28-70 30-14 48-50 1.30-01 54. 43-71 45.41-35 0-18 94. 43. 42-09 94. 58. 39-92 4-71 12 Moon's U. L. . . 61.46. 7-70 29-98 53-50 1.47-30 54. 25-21 47. 46-60 0-36 99.31.33-18 99. 46. 25-93 4-70 13 Moon's L. L. 66. 38. 25-50 29-70 44-50 2. 14-30 54. 11-86 49. 35-98 0-54 104. 22. 28-65 104. 7.39-56 4-69 15 Moon's L. L. 73.21. 14-10 29-48 31-50 3. 16-66 54. 4-34 51.40-04 -0-77 111. 4. 15-63 110. 49. 28-60 4-68 17 Moon's U. L. . . 75. 49. 43 30 29-66 36-50 3. 50-66 54. 30-65 52. 42-84 0-90 113.32. 16-01 113. 47. 10-25 465 20 Moon's U. L. . . 71.32.14-30 29-36 41-50 2. 52- 12 56. 24-86 53. 21-39 -0-72 109. 13. 9-91 109. 28. 35-47 463 May 1 Moon's U. L. . . 27.47.31-80 29-38 56-50 0. 29-69 59. 25-69 27. 29-27 1 after 0-02 40-87 65.51.56-61 66. 8. 11-74 4-51 7 Moon's U. L. . . 50. 5.53-60 29-80 49-50 1. 9-21 55. 5-41 42. 4-28 40-09 87. 56. 23-20 88.11.26-97 4-43 8 Moon's U. L. . . 55. 13.41-10 29-82 49-50 1.23-34 54. 40-57 44. 43-82 -0-18 93. 1.45-27 93. 16. 42-24 4-42 9 Moon's U. L. . . 60.10. 7-40 30-00 54-50 1. 40-37 54. 21 67 46.59-11 0-27 97. 56. 13-45 98.11. 5-24 4-41 10 Moon's U. L. . . 64. 43. 57-20 30-04 50-50 2. 2-90 54. 8-20 48. 47-65 0-45 102. 28. 37-28 102. 43. 25-37 4-39 12 Moon's U. L. 72. 2. 39-70 29-49 49-50 2. 55-06 53. 57 77 51.11-29 -0-72 109. 45. 48-37 110. 0.33-61 4-37 13 Moon's U. L. . . 74.26.11-70 29-50 49-50 3. 22-98 54. 1-42 51.54-12 0-81 112. 9. 5-48 U2. 23. 51-71 4-35 14 Moon's U. L. . . 75.47. 8-80 29-85 46-50 3. 46-57 54. 12-05 52. 24-23 0-90 113. 29. 56-03 113.44.45-18 4-34 17 Moon's TJ. L. 72. 50. 26-70 29-56 47-50 3. 4-73 55. 32-47 52. 55-22 0-72 110.32. 1-15 110. 47. 12-33 4-30 18 Moon's U. L. . . 69. 33. 52-80 29-87 48-50 2. 34-96 56. 16-47 52. 34-47 0-63 107.15.18-16 107. 30. 41-42 4-29 June 2 Moon's U. L. . . 43.12.20-00 29-84 59-50 0. 53-37 56. 11-71 38. 16-H 40-27 81. 6.21-73 81.21.43-68 4-19 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D is formed bv adding Olutsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 _ p = 38. 31'. 24'''-68 : q = 2" '78. () Observed at Transit of 2 L. Increase of N. P. D. during passage of Semidiameter = + 12"* 52. GREENWICH LUNAR REDUCTIONS. (106) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal iquatoreal Parallax. Parallax. Interval at which Observa- tion was made Before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P. D. f U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1778. Fune 3 Moon's U. L. . . Q 1 II 48.21.19-00 in. 29-70 o 54-50 / // 1. 4-22 / // 55. 29-00 / // 41.16-01 8 // it + 0-18 o / it 86. 12.31-89 / ii 86.27. 42-13 v 4-19 4 Moon's U. L. . . 53. 31.66-10 29-64 50-50 1. 17-68 54. 54-92 43. 58-60 -0-09 91. 20. 39-84 91.35.40-73 4-19 5 Moon's U. L. . . 58. 33. 27-20 29-75 52-50 1. 33-78 54. 28-96 46. 18-39 0-27 96.20. 7-31 96. 35. 1-09 4-18 6 Moon's U. L. . . 63. 15. 59-60 29-53 58-50 I. 51-46 54.11-11 48. 13-60 0-45 101. 1. 2-22 101.15. 51-11 4-18 7 Moon's U. L. . . 67. 29. 7-30 29-67 51-50 2.17-73 54. 0-49 49. 44-08 b-54 105. 13. 5-82 105.27.51-79 4-18 8 Moon's U. L. . . 71. 2.49-20 29-92 53-50 2. 46-43 53. 66-60 50. 52-21 0-63 108. 46. 8-36 109. 0.53-27 4-17 10 Moon's U. L. . . 75.30. 6-20 30-06 50-50 3.41-80 54. 6-93 52. 15 24 0-90 113.12.57-64 113.27.45-38 4-17 11 Moon's U. L. . . 76. 6. 10-80 30-08 54-50 3.49-71 54. 20-83 52.37-15 0-90 113.48.48-26 114. 3.39-81 4-18 12 Moon's U. L. . . 75. 30. 32-50 30-05 56-50 3. 39-10 54. 40-40 52. 47-66 0-90 113.12.48-82 113.27.45-74 4-18 13 Moon's TJ. L. . . 73. 43. 16-20 30 -22 50-50 3. 18-16 55. 6-16 52.'44'91 0-81 111.25.14-34 111.40.18-32 4-18 14 Moon's U. L. . . 70.49. 8-80 30-14 48-50 2. 47-26 55. 38-24 52. 23-70 0-63 108. 30. 57-29 108. 46. 10-07 4-18 July 2 Moon's U. L. . . 56. 50. 56-20 30-00 70-50 1.25-41 54. 55-66 45. 48-38 0-18 94. 37. 57-95 94. 52. 59-05 4-33 4 Moon's U. L. . . 66. 7.23-50 29-96 66-50 2. 6-44 54. 10-86 49. 23-00 0-54 103.51.31-75 104. 6.20-57 4-36 6 Moon's U. L. . . 72. 57. 10-20 29-95 62-50 3. 2-73 54. 2-17 51. 31-04 0-72 110.40. 6-83 110. 54. 53-27 4-39 7 Moon's U. L. . . 75. 2.11-80 29-94 64-50 3.27-91 54. 9-20 52. 10-63 0-81 112.44.54-03 112.59.42-39 4-41 8 Moon's U. L. . . 76. 1.36-20 30-20 60-50 3. 46-54 54. 22 23 52. 37-44 0-90 113.44.10-20 113.59. 2-14 4-43 12 Moon's U. L. . . 68. 10. 49-00 30-15 68-50 2. 19-92 56. 0-05 51.49-64 -0-54 105. 52. 44-18 106. 8. 2-93 4-51 13 Moon's TJ. L. . . 63.41.18-90 30-00 64-50 1. 53-93 56. 33-77 50.31-79 0-45 101.24. 5-82 101.39.33-82 4-52 14 Moon's U. L. . . 58. 32. 23-70 30-07 61-50 1. 33-01 57.10-51 48.35-15 0-27 96. 16. 46-27 96. 32. 24-34 4-55 15 Moon's U. L. . . 52. 57. 26-80 30-03 59-50 1.15-69 57. 49-71 45. 57-70 o-oo 90.44. 9-51 90. 59. 58-32 4-57 17 Moon's U. L. . . 41.31.22-60 30-08 59-50 0. 50-72 59. 10-16 39. 0-58 + 0-36 79. 24. 37-27 79.40.48-14 4-60 18 Moon's TJ. L. . . 36. 18.51-50 29-88 65-50 0.41-34 59.46-16 35. 10-53 + 0-54 74. 15. 46-78 74.32. 7-52 4-63 28 Moon's U. L. . . 49. 33. 33-60 29-64 67-50 1. 5-14 56. 23-82 42. 43-56 + 0-09 87. 23. 19-82 87. 38. 45-09 4-85 31 Moon's TJ. L. . . 64. 38. 22-40 29-77 63-50 1.58-13 54. 32-37 49. 7-12 0-45 102. 22. 38-24 102. 37. 32-96 4-92 Aug. 2 Moon's U. L. . . 72. 1.56-10 30' 12 64-50 2. 53-28 54. 8-81 51.21-54 16 after 1-89 0-39 109.44.51-18 109. 59. 39-44 4-98 5 Moon's L. L. 76. 34. 15-80 29-75 65-50 3. 49-S6 54. 43-09 53. 5-33 15 before 0-23 1-4 114.16.24-51 114. 1.26-85 5-06 6 Moon's L. L. 75.33.42-10 29-77 65-50 3.33-89 55. 7-62 53. 14-94 0-90 113.15.25-93 113. 0.21-55 5-09 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 24" -68: q = 2" '78. \ SECT. II. INVESTIGATION or MOON'S NOKTH POLAK DISTANCE. (107) Year, Month , and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N.P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity at Ecliptic. 23.28'. 1778. Aug. 8 Moon's L. L. o / 69.58. 15-50 in. 30-00 56-50 / * 2. 36-41 / a 56. 6-49 / // 52. 33-68 ' it -0-63 o / w 107.39.43-12 / II 107. 24. 22-60 H 5-14 9 Moon's L. L. . . 65. 39. 40-70 30-02 62-50 2. 6-01 56. 37-98 51. 26-07 0-54 103. 21. 44-42 103. 6. 15-27 6-17 11 Moon's U. L. . . 54. 32. 36-90 29-92 58-50 1.20-06 57. 39-84 46. 46 63 0-09 92. 18. 35-04 92.34.21-14 5-22 13 Moon's U. L. . . 43. 4. 18-20 29-51 58-50 0. 52-64 58. 35-85 39. 48-32 + 0-36 80.56.47-12 81. 12.48-59 5-28 14 Moon's U. L. . . 37. 45. 22-90 29-93 51-50 0. 44-88 59. 0-54 35. 54-88 + 0-54 75.41.37-43 75. 57. 45-66 5-30 15 Moon's U. L. . . 33. 11.29-40 30-24 52-50 0. 38-23 59. 21-47 32. 16-48 + 0-63 71. 11. 16-56 71. 27. 29-54 5-33 16 Moon's U. L. . . 29.45.50-10 30-32 57-50 0.33-17 59. 37-06 29. 22-44 + 0-81 67. 48. 25-27 68. 4. 43-51 5-36 29 Moon's U. L. . . 71. 0.41-40 30-20 61-50 2. 44-94 54. 17-72 51. 11-46 0-63 108. 43. 39-82 108. 58. 30-52 5-65 31 Moon's U. L. . . 75. 38. 40-00 30-05 53-50 3. 42-04 54. 18-92 52. 28-39 0-90 113. 19. 18-53 113.34. 9-56 5-69 Sep. 5 Moon's L. L. 67.27.39-80 29-95 48-50 2. 19-72 56. 47-38 52. 17-45 0-54 105. 9. 6-94 104. 53. 35-21 5-79 7 Moon's L. L. 57. 0. 7-00 29-82 52-50 1. 28-54 57. 58-85 48. 26-44 0-18 94. 44. 34-43 94.28.43-11 5-83 9 Moon's TJ. L. . . 44. 40. 25-50 29-92 52-50 0. 57-13 58.50-11 41. 9-28 +0-27 82. 31. 37-94 82. 47. 43-31 5-86 11 Moon's U. L. . . 34.12.57-30 29-40 49-50 0. 38-87 59. 14-83 33. 6-75 4-0-63 72.11.54-88 72.28. 7-03 5-89 12 Moon's U. L. . . 30. 24. 53-70 29-56 45-50 0. 34-02 59. 17-97 29. 48-02 + 0-81 68.27. 4-17 68.43. 17-18 5-90 13 Moon's U. L. . . 28. 1.58-70 29-95 45-50 0. 31-27 59. 15-80 27. 37-93 + 0-90 66. 6.16-49 66. 22. 28-91 5-92 15 Moon's L. L. 28. 49. 24-90 29-88 52-50 0.31-78 68. 55-71 28. 11-53 + 0-90 66.53. 964 66.37. 2-73 5-95 28 Moon's L. L. . . 76.53.53-10 30-04 45-50 4. 7-93 54. 18-59 52. 45-92 0-90 114.36.40-05 114.21.49-11 6-03 29 Moon's L. L. 76.51.26-10 30-17 45-50 4. 8-23 54. 37-49 53. 3-75 0-90 114. 33. 64-48 114. 18. 58-36 6-04 Oct. 1 Moon's L. L. 73. 8. 5-40 29-34 47-50 3. 6-67 55. 45-07 53. 12 52 0-72 110.49.24-50 110.34. 9-85 6-03 2 Moon's L. L. 69. 32. 33-30 29-35 46-50 2. 32-71 56. 29-62 52. 46-51 0-59 107.13.44-41 106. 58. 17-55 6-04 3 Moon's L. L. 64. 57. 33-60 29-38 46-50 2. 2-43 57. 1T58 51.44-35 0-45 102. 39. 16-52 102. 23. 36-52 6-04 4 Moon's L. L. 59.35. 8-10 29-55 48-50 1. 37-79 58. 4-82 49. 54-32 0-27 97. 18. 16-33 97. 2.23-38 6-04 5 Moon's L. L. . . 53. 40. 46-60 29-58 46-50 1. 18-59 58.47-65 47. 10-54 0-09 91.26.19-31 91.10.14-61 6-04 8 Moon's U. L. . . 35.39.15-30 29-31 50-50 0. 40-79 59. 55-75 34. 42-64 + 0-54 73. 36. 37-89 73.53. 1-26 6-03 10 Moon's U. L. . . 28. 20. 44-00 29-63 39-50 0.31-73 59.41-43 28. 6-99 + 0-90 66.24.33-21 66. 40. 52-65 6-03 11 Moon's L. L. 27. 37. 34-30 29-80 33-50 0. 31-36 59. 20-83 27. 18-00 -fO-90 65.42.12-10 66. 25. 58-30 6-01 12 Moon's L. L. 28. 6.34-10 29-80 39-50 0. 31-60 58. 55-29 27.32-61 + 0-90 66. 10. 57-55 65. 54. 50-76 6-01 The Moon's U. L. or L. L. was usually observed when tbe bright 1 L. or 2 L. was passing; the Meridian. The Geocentric N. P. D. of Limb and of Center in tbe Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 24" -68: q = 2" '78. (P)2 (108) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion WES made >efore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P. D. ofU. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1778. O t II in. o / // * // / y 3 U // O I II / // II Oct. 13 Moon's L. L. 30.13. 11-00 29-64 35-50 0. 34-56 58. 26-85 29. 12 10 + 0-81 68. 15. 57-92 67. 59. 58-9-2 6-01 14 Moon's L. L. 33. 40. 43-30 29-57 39-50 0.39-11 57. 56-75 31.55-17 + 0-63 71.40.51-68 71.25. 0-94 6-01 15 Moon's L. L. 38. 8.27-10 29-81 38-50 0. 46-55 57.25-91 J5. 15-62 + 0-54 76. 5.22-58 75. 49. 40-30 5-99 26 Moon's L. L. 77.15. 3-70 29-77 40-50 4. 15-14 54.12-11 52.44-16 0-90 114.57.59-63 114.43. 10-47 5-89 30 Moon's L. L. . . 67. 23. 45-10 30-04 47-50 2. 19-98 56.30-21 52. 0-16 15 after + 2-71 0-30 105. 5.32-73 104.50. 5-71 5-84 31 Moon's L. L. 62.26. 2-40 29'66 48-50 I. 50-27 57. 25-03 50. 43-47 0-36 100. 8. 34-01 99. 52. 51-96 5-83 Nov. 1 Moon's L. L. 56. 46. 53-60 30-07 47-50 1.29-45 58.21-79 48. 38-23 0-18 94.31. 9-54 94. 15. 11-92 5-82 2 Moon's L. L. 50.41.47-00 30-09 44-50 1.12-12 59.15-67 45. 39-27 + 0-09 88. 28. 44-55 88. 12.32-17 5-80 3 Moon's L. L. 44. 30. 26-70 29-58 50-50 0. 56-38 60. 1-10 41.51-60 + 0-27 82. 20. 56-06 82. 4.31-23 5-79 5 Moon's U. L. . . 32.59.11-10 29-1-2 41-50 0. 37-13 60. 48-28 32. 52-73 + 0-63 70. 58. 19-90 71.14.57-66 5-77 7 Moon's U. L. . . 27. 10. 4-90 29-36 37-50 0. 30-04 60. 24-98 27.21-69 + 0-90 65. 14. 37-67 65. 31. 9-05 5-74 8 Moon's L. L. . . 27. 33. 35-40 29-63 38-50 0. 30-76 59. 51-90 27. 28-59 + 0-90 65. 38. 2-00 65. 21. 39-69 5-73 11 Moon's L. L. 36.33. 1-80 29-39 32-50 0. 43-88 57. 40-93 34. 8-43 + 0-54 74.31. 1-73 74. 15. 15-32 5-68 12 Moon's L. L. 41.30.30-90 29-65 34-50 0. 52-61 56. 59-04 37. 33-59 + 0-36 79. 25. 14-45 79. 9.39-53 5-67 25 Moon's L. L. 72. 56. 34-80 29-90 45-50 3. 8-80 54. 52-20 52. 18-90 0-72 110.38.49-64 110.23.49-48 5-52 26 Moon's L. L. 69. 19. 31-40 29-97 46-50 2.34-18 55. 29-65 51.46-05 0-58 107. 1.44-44 106. 46. 34-02 5-52 27 Moon's L. L. . . 64. 49. 48-80 29-53 44-50 2. 2-85 56. 16-82 50. 46-25 0-45 102. 32. 30-23 102. 17. 6-88 5-51 28 Moon's L. L. . . 59. 36. 49-80 29-92 45-60 1. 39-74 57. 11-77 49. 962 -0-27 97. 20. 44-69 97. 5. 6-27 5-50 30 Moon's L. L. 47. 48. 18-40 30-00 37-50 1. 5-90 59. 12-18 43. 39-34 + 0-18 85.37. 9-61 85.20.58-19 5-48 Dec. 1 Moon's L. L. 41.46.29-80 29-74 35-50 0.53-15 60. 7-54 39. 50-42 + 0-36 79. 38. 57-07 79. 22. 30-47 5-47 4 Moon's U. L. .. 27. 56. 30-80 28-90 39-50 0. 30-43 61.23-33 28.32-21 + 0-90 65. 59. 53-47 06. 16. 40-84 5-46 5 Moon's U. L. . . '26.47. 4-60 28-95 35-50 0. 29-26 61. 7"29 27. 18-98 + 0-95 64.51.39-33 65. 8. 22-30 5-45 8 Moon's L. L. 34.51. 0-10 29-64 51-50 0. 39-96 58. 48-26 33.23-18 -I-0-63 72.49.41-37 72. 33. 36-50 5-44 26 Moon's L. L. 56. 13. 43-40 30-68 35-50 1. 31-64 56. 54-05 47. 6-92 0-lb 93. 59. 32-81 93. 43. 59-25 5-52 29 Moon's L. L. 38. 56. 59-70 29-62 43-50 0.47-12 59. 42-89 37. 19-35 + 0-54 76. 51. 52-06 76. 35. 32-22 5-56 31 Moon's L. L. . . 30. 0.22-20 28-82 41-50 0. 32-90 61. 8-72 30.21-12 + 0-81 68. 1.58-43 67. 45. 15-06 5-59 1779. Jan. 2 Moon's U. L. . . 26. 56. 57-40 30-40 27-50 0.31-47 61.21-45 27. 34-79 + 0-90 65. 1.18-49 65.18. 6-34 5-64 The Moon's U. L. or L. L. was xisually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p=38.31'.24"-68 : q = 2"'78. \ SECT. II. INVESTIGATION OP MOON'S NORTH POLAR DISTANCE. (109) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at whirh Observa- tion \vas uiade before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2328'. 1779. Jan. 6 Moon's L. L. . . O / " 42. 54. 34-20 in. 30-30 o 30-50 / // 0. 56-95 / n 58. 15-11 39.27-16 a * + 0-36 o / // 80. 47. 28-59 o / /' 80.31.32-82 // 5-70 7 Moon's L. L. 48.35. 6-10 30-41 29-50 1. 9-82 57.15-11 42. 44-29 + 0-18 86. 24. 56-32 86. 9. 16-99 5-72 8 Moon's L. L. . . 54.14. 0-80 30-41 25-50 1.26-17 56. 19-90 45.31-34 -0-09 92. 1.20-32 91.45.56-12 5-74 10 Moon's L. L. 64. 34. 59-00 30-30 28-50 2. 8-94 54. 55-08 49. 26-46 0-45 102. 19. 6-30 102. 4. 5-36 5-77 11 Moon's L. L. 68. 56. 38-30 30-34 24-50 2. 40-34 54. 26-96 50. 39-82 -0-54 106.40. 3-76 106. 25. 10-52 5-80 22 Moon's L. L. 57.51.44-30 30-13 45-50 1.33-79 56. 13-20 47. 25-55 15 after + 3-29 0-15 95. 37. 20-63 95. 21. 58-27 604 24 Moon's L. L. 46. 33. 20-80 30-13 39-50 1. 3-09 57. 35-26 41.36-58 10 after + 2-31 + 0-19 84. 24. 14-22 84. 8.29-37 6-09 25 Moon's L. L. 40. 57. 54-70 29-83 42-50 0.51-07 58.21-50 38. 2-97 + 0-45 78.52. 7-39 78.36. 9-85 6-12 26 Moon's L. L. 35.49.21-90 29-68 41-50 0. 42-34 59. 8-90 34. 24-08 + 0-54 73.47. 4-60 73. 30. 54-08 6-15 28 Moon's L. L. 28. 33. 35-70 29-93 37-50 0. 32-48 60. 28-60 28.41-33 + 0-90 66. 36. 51-33 66. 20. 18-96 6-20 29 Moon's U. L. . . 26. 45. 57-20 30-16 37-50 0. 30-33 60.51-09 27. 10-71 + 0-99 64.50.41-31 65. 7.19-84 6-23 31 Moon's U. L. () 30. 1 1. 3-70 30-30 44-50 0. 34-63 60. 42-02 30. 17-61 30 after 4-04 + 1-82 68.12.42-15 68. 29. 18-20 6-28 Feb. 2 Moon's L. L. 40. 12. 18'50 30-27 36-50 0. 51-09 59. 23-80 38. 7-67 + 0-45 78. 6.26-48 77. 50. 11-87 6-34 22 Moon's L. L. 37. 8. 24-80 30-11 45-50 0. 44-70 58. 19-65 35. 0-20 + 0-54 75. 5.33-80 74. 49. 36-78 6-84 23 Moon's L. L. . . 32. 37. 30-00 30-02 43-50 0. 37-83 58. 50-79 31.30-56 + 0-72 70.38. 1-75 70.21.56-19 6-85 26 Moon's U. L. . . 26.47. 1-10 30-25 49-50 0. 29-70 59. 59-44 26. 48-62 -t-0-99 64.52. 667 65. 8.31-04 6-92 27 Moon's U. L. . . 28. 35. 53-70 29-43 4950 0.31-20 60. 4-37 28.31-87 + 0-90 66. 39. 17-51 66. 55. 43-24 6-95 28 Moon's U. L. . . 32. 5.44-50 30-19 45-50 0.37-12 59. 55-82 31. 37-25 + 0-72 70. 6. 8-82 70. 22. 32-21 6-97 Mar. 2 Moon's U. L. . . 42.31. 5-50 30-23 37-50 0. 55-22 58.59-18 39.39-11 + 0-36 80.23.46-19 80. 39. 54-05 7-01 5 Moon's L. L. 60. 43. 43-40 30-47 34-50 1. 48-69 56. 37-56 49. 13-26 0-27 98.27.43-65 98. 12. 14-62 7-06 6 Moon's L. L. 65. 51. 25-30 30-41 38-50 2. 14-24 55.51-26 50. 48-42 0-54 103. 34. 15-91 103. 18. 59-57 7-08 8 Moon's L. L. 73.43.45-10 30-24 36-50 3. 24-33 54. 40-54 52. 20-78 0-81 111.26.1354 111.11.16-58 7-11 23 Moon's L. L. 29. 50. 43-10 30-24 54-50 0. 33-40 59. 1-84 29. 9-53 + 0-81 67. 53. 31-41 67. 37. 22-82 7-25 24 Moon's L. L. 27. 30. 30-90 30-2-2 55-50 0. 30-23 59. 12-14 27. 7-52 13 after -I-0-77 + 0-55 65. 35. 18-46 65. 19. 7-05 7-26 25 Moon's U. L. . . 26. 20. 39-80 30-15 49-50 0. 29-04 59.17-78 26. 5-61 + 0-99 64. 26. 27-70 64. 42. 40-66 7-25 26 Moon's U. L. . . 27. 32. 10-90 29-94 51-50 0. 30-23 59. 18-10 27.11-72 + 0-90 65. 36. 53-84 65.53. 6-89 7-26 28 Moon's U. L. . . 34.40. 13-10 30-30 39-50 0. 41-60 58. 69-25 33. 20-51 + 0-63 72.38.58-67 72.55. 6-55 7-27 , The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90- p = 38. 31'. 24" '68: q = 2" '78. (') Observed 30 s after Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 9" '99. (110) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, MontU, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1779. Mar. 30 Moon's U. L. . . O 1 II 45. 45. 15-80 in. 30-18 o 40-50 / // 1. 1-33 / // 58. 10-71 / // 41.28-18 a H n + 0-27 o / // 83. 36. 13-59 / /; 83. 52. 8-16 7-27 31 Moon's U. L. C) 51.47.39-10 30-25 41-50 1.15-87 57. 36-75 45. 4-49 o-oo 89. 35. 15-14 89.51. 0-40 7-27 Apr. 1 Moon's L. L. . . 58.14.21-70 30-37 36-50 1. 37-74 56. 58-49 48. 15-75 0-27 95.59. 8-39 95.43.33-61 7-26 3 Moon's L. L. 68. 34. 25-80 30-20 38-50 2. 32-02 55.41-21 51.41-01 0-54 106.16.41-73 106. 1.28-14 7-26 5 Moon's L. L. 75. 31. 33-00 30-37 46-50 3. 46-36 54.40-21 52. 47-99 0-90 113. 13. 56-25 112.58.59-38 7-25 20 Moon's L. L. 27.52.59-90 29-93 61-50 0. 30-06 59. 38-48 27.40-30 + 0-90 65.57.14-11 65. 40. 55-48 7-16 24 Moon's U. L. . . 33. 1.47-30 29-44 47-50 0. 37-37 58.40-75 31. 46-00 + 0-63 71. 2. 3-08 71.18. 5-89 7-10 25 Moon's U. L. . . 37. 56. 14-80 29-56 46-50 0. 45-07 58. 15-80 35. 36-38 + 0-54 75. 52. 48-03 76. S. 43-99 7-09 26 Moon's U. L. . . 43. 31. 24-30 29-50 45-50 0. 54-89 57. 48-59 39. 36-16 + 0-27 81.24. 7-56 81.39.56-06 7-08 27 Moon's U. L. 49. 26. 10-80 29-48 42-50 1. 7-86 57. 19-30 43. 20-82 + 0-09 87. 15. 22-48 87.31. 2-96 7-06 28 Moon's U. L. . . 55.21.53-10 29-53 43-50 1. 23-99 56. 48-48 46.33-11 0-18 93. 8. 8-63 93. 23. 40-66 7-05 29 Moon's U. L. .. 61. 1.48-10 29-61 44-50 1. 44-72 56. 16-95 49. 3-78 0-27 98. 45. 53-87 99. 1. 17-26 7-04 May 1 Moon's L. L. 71. 5.38-10 29-60 38-50 2. 50-32 55. 16-31 52. 8-51 -0-63 108.47.44-86 108.32.38-11 7-01 7 Moon's U. L. . . 73. 33. 43-80 29-60 46-50 3. 13-78 54. 29-52 52. 7-25 0-81 111.16.15-21 111.31. 9-15 6-93 8 Moon's U. L. . . 70. 2.53-10 29-55 49-50 2. 36-94 54, 55-40 51.28-38 0-63 107.45.26-56 108. 0.27-59 6-92 10 Moon's U. L. . . 60.31.58-10 29-60 52-50 1.40-91 56. 15-95 48.48-54 -0-27 98. 16. 15-28 98.31.38-39 6-89 Oct. 22 Moon's L. L. 56. 18. 4-60 30-06 43-50 1. 28-54 55. 59-88 46. 24-40 0-18 94. 4.33-44 93. 49. 14-73 8-34 29 Moon's U. L. . . 25.20. 2-90 29-98 55-50 0. 27-27 59. 11-46 25. 6-47 + 0-99 63.26.48-13 63. 42. 59-35 8-26 31 Moon's L. L. 29. 34. 27-00 30-22 50-50 0. 33-28 59. 12-43 29. 0-16 + 0-81 67. 37. 24-55 67.21. 13-06 8-22 Nov. 2 Moon's L. L. 39. 6. 1-20 30-10 48-50 0. 47-65 58. 54-03 36. 56-03 + 0-45 77. 1.17-33 76. 45. 10-88 8-19 14 Moon's L. L. 76. 3.29-60 29- 12 38-50 3. 49-25 54.11-41 52. 27-66 0-90 113.46.16-09 113.31.27-12 8-04 16 Moon's L. L. . . 68.59.18-70 29-44 37-50 2.31-67 54. 30-33 50. 43-82 0-54 106.42.32-49 106. 27. 38-33 8-00 22 Moon's L. L. 35. 51. 20-60 29-18 31-50 0. 42-56 58. 36-04 34. 6-62 -i-0-54 73. 49. 20-99 73. 33. 19-47 7-93 23 Moon's L. L. (") 31. 7.61-40 29-15 28-50 0. 35-77 59. 14-54 30. 24-55 + 0-72 69. 9.27-03 68. 53. 14-96 7-91 24 Moon's U. L. . . 27. 8.10-40 29-31 32-50 0. 30-26 59. 42-37 27. 0-64 + 0-90 65.13. 4-43 65.29.24-13 7-91 26 Moon's L. L. 26. 15. 32-40 29-08 31-50 0.28-97 59. 58-31 26. 18-68 4- 0-99 64.21. 7-16 64. 4.43-09 7-88 27 Moon's L. L. 23.28.44-10 28-74 47-50 0. 30-44 59. 47-62 28. 17-42 + 0-90 66.32.21-59 66. 16. 0-45 7-88 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 24" -68 : q = 2" 78. (*) Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 15"'72. ( b ) Observed at Transit of 1 L. Increase of N. P.D. during passage of Semidiameter ^= 11" -84. SECT. II. INVESTIGATION OF MOON'S NOKTH POLAR DISTANCE. (Ill) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Eeliptic. 23.28'. 1779. Nov. 30 Moon's L. L. o / a 43. 11. 58-70 29-84 o 42-50 0. 55-24 / n 58. 32-77 f II 39.52-12 ' " + 0-31 O I II 81. 4.26-38 1 II 80. 48. 25-75 II 7-85 Dec. 23 Moon's TJ. L. . . 25.21.26-20 29-47 27-50 0. 28-44 60. 47-79 25. 48-69 + 0-99 63. 27. 30-38 63.44. 8-01 7-84 30 Moon's L. L. . . 59. 52. 47-90 30-14 27-50 1.45-47 57. 12-36 49. 18-22 -0-27 97. 36. 39-93 97.21. 1-35 7-91 31 Moon's L. L. 65. 26. 46-00 30-11 25-50 2. 14-09 56. 32-08 51.15-48 0-54 103. 9. 9-38 102. 53. 41-85 7-93 1780. Jan. 12 Moon's L. L. . . 57. 43. 49-20 29-67 27-50 1. 35-43 54.41-76 46. 4-40 -0-27 05. 30. 44-91 95.15.47-62 8-10 17 Moon's L. L. 31. 9. 6-90 28-74 35-50 0. 34-75 58.45-51 30. 9-87 + 0-72 69. 9.56-19 68. 53. 52-07 8-21 21 Moon's TJ. L. . . 28. 12. 12-40 29-87 27-50 0. 32-62 61.23-88 28. 47-33 + 0-90 66.15.22-15 66.32. 9-67 8-28 22 Moon's TJ. L. 32.30.43-90 29-90 26-50 0. 38-88 61.16-65 32. 42-51 + 0-72 70.30. 4-74 70. 46. 50-28 8-33 Feb. 11 Moon's L. L. 42.39. 5-60 30-35 37-50 0. 55-70 55. 50-06 37. 37-82 + 0-36 80. 33. 48-06 80. 18. 32-04 8-82 19 Moon's TJ. L. () 34. 57. 23-40 29-42 28-50 0.41-78 61.21-87 34. 56-94 + 0-63 72. 54. 33-73 73.11.20-70 9-03 20 Moon's L. L. 41. 43. 58-10 29-58 27-50 0. 53-69 61. 5-25 40. 26-66 + 0-36 79. 35. 49-67 79. 19. 7-26 9-05 21 Moon's L. L. 48. 29. 24-00 29-72 28-50 1. 8-15 60. 29-48 45. 5-37 + 0-18 86. 16. 51-46 86. 0. 18-85 9-07 22 Moon's L. L. 55. 17. 10-50 30-00 27-50 1. 27-99 59. 39-52 48. 50-69 0-18 93. 1.12-45 92. 44. 53-53 9-09 23 Moon's L. L. 61.42. 2-20 30-12 29-50 1. 53-01 58.41-36 51.29-75 -0-36 99. 23. 50-23 99. 7.47-25 9-11 Mar. 11 Moon's L. L. 33.49. 6-30 30-16 47-50 0. 39-44 56. 38-63 31. 19-05 -f-0-63 71.49.51-13 71.34.21-80 9-40 14 Moon's U. L. . . 24. 57. 24-00 29-63 48-50 0. 26-87 59. 48-88 24. 35-85 + 0-99 63. 4.39-43 63. 20. 44-47 9-43 15 Moon's U. L. . . 25. 27. 33-30 29-63 43-50 0. 27-78 59. 32-94 25. 22-63 + 0-99 63.34. 2-88 63. 50. 19-99 9-44 16 Moon's U. L. . . 27. 53. 57-60 29-75 43-00 0.31-04 60. 10-95 27. 56"22 + 0-90 65. 57. 56-87 66. 14. 24-40 9-45 17 Moon's TJ. L. . . 32. 7. 2-60 29-70 51-50 0.36-10 60. 37-97 32. 0-64 + 0-72 70. 7. 2-51 70. 23. 37-44 9-46 20 Moon's U. L. 51.12.45-60 29-73 49-50 1.11-83 60. 19-09 46. 48-56 + 0-09 88. 58. 33-59 89. 15. 3-35 9-49 21 Moon's L. L. 58.35.18-10 29-72 42-50 1. 35-74 59. 39-68 50. 43-72 0-27 96. 17. 34-83 96. 1.15-87 9-49 22 Moon's L. L. 64. 52. 58-70 30-09 36-50 2. 7-61 58.49-23 53. 5-15 0-45 102. 33. 25-99 102.17.20-85 9-49 23 Moon's L. L. 70. 18. 26-60 30-07 37-50 2. 46-06 57. 53-35 54. 20-80 0-63 107. 58. 16-77 107. 42. 26-96 9-49 Apr. 9 Moon's L. L. 27. 22. 26-70 30-05 45-00 0. 30-54 57. 38-28 26. 17-32 -fO-90 65. 27. 59-58 65. 12. 13-90 9-46 13 Moon's TJ. L. . . 30. 9.15-70 29-64 38-50 0. 34-25 59. 32-97 29.41-53 + 0-81 68.11.28-15 68. 27. 45-27 9-43 17 Moon's TJ. L. . . 54. 40. 47-20 29-41 39-75 1.22-19 59. 37-60 48.27-11 0-09 92.25. 2-56 92.41.20-96 9-39 18 Moon's L. L. (") Moon's U. L. ( c ) 61.49.49-60 61. 17. 46-60 29-43 40-50 I. 48-47 1.46-10 59. 8-09 59. 8-03 51. 56-98 51.40-91 0-3P -0-36 99.31. 1-75 98. 59. 12-20 99.14.51-44 99. 15. 22-49 9-37 The Moon's U. L. or L. L. was usually observed when the bright I L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olnfsrn's 90 p arid q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 24" -68 : q = 2" '78. From 1780, April 9, 90- p = 38. 31'. 20" -22: q = 3"'51. ( a ) Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 16""14. ( b ) Observed at Transit of 1 L. Correction applied for defective illumination, + 0* -22. ( c ) Observed at Transit of 2 L. REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. 1780. Apr. 19 24 May 10 11 12 13 17 22 23 27 28 June 11 12 14 15 24 25 28 July 10 11 14 15 16 2 Aug. Moon's L. L. . Moon's U. L. . Moon's U. L. . Moon's U. L. . Moon's U. L. , Moon's U. L. , Moon's U. L. . Moon's U. L, . Moon's U. L. , Moon's U. L. Moon's U. L.- Moon's U. L. Moon's TJ. L. Moon's TJ. L. Moon's TJ. L. Moon's U. L. Moon's U. L. Moon's U. L. Moon's U. L. Moon's U. L. Moon's L. L. Moon's L. L. Moon's L. L. Moon's U. L. Moon's TJ. L. Moon's U. L. Moon's U. L. Quadrant Reading. Baro- meter. Ther- mo- meter. o / // 67. 47. 54-70 78. 18. 17-60 28.51. 6-90 33. 20. 55-30 38. 57. 56-90 45. 17.41-70 70. 6.45-40 77. 19. 18-40 74. 38. 4-60 55. 58. 24-00 50. 14. 48-90 56. 27. 2-20 62. 39. 50-20 72.54. 18-20 76.21.31-10 52.33.17-80 46. 50. 58-20 31. 5.22-00 66. 45. 36-90 71.39.29-40 79.26. 9-80 78. 59. 25-40 77. 10.31-K 43. 16. 34-00 45.31. 8-90 52. 25. 38'5( 29-77 29-41 29-45 29-82 29-80 29-66 30-00 29-55 29-84 30-09 29-96 29-83 29-98 29-69 29-89 29-94 30-14 30-16 30-0' 29-96 30-01 29-88 29-81 30-OC 29-99 30-OC 38-75 40-50 57-50 56-50 55-50 53-50 52-50 48-50 46-50 63-75 69-00 63-00 55-7 50-50 49-50 54-50 54-50 67-50 59-50 65-50 61-50 62-5( 65-5( 52-5C 78-5( 75-5 75-5 Refrac- tion. 2. 24-08 4. 34-41 0.31-04 0. 37-62 0. 46-28 0. 57-75 2.38-91 4. 10-37 3. 29-32 1.24-01 1. 7-25 1. 24-95 1.50-89 3. 5-11 3. 54-97 1.15-1 1. 1-81 0.31-1 2. 12-6 2. 48-3 4. 55-9C 4. 42-3 4. 1-26 0. 54-6' 0. 56'0( 1. 11-8 2. 34-8 Tabular rlorizontal iquatoreal Parallax. 4341 2445 58. 28-53 54. 52-33 59. 9-74 59. 16-48 59. 17-72 59.13 57. 46-25 54. 48-80 54. 28-03 54.47 55. 17-37 58. 24-8 57. 58-27 56. 59-01 56. 27-26 54. 47'5b 55. 19-96 57. 42-39 57. 31-2 56. 54-8J 55. 21-OC 54. 56-02 54. 34-9J 55. 14-88 60.31-7 59. 5'2-4 57. 24-8 Parallax. 3.58-51 >3. 36-03 29. 19-68 J2. 21-91 . 4-26 . 52-86 54. 9-85 53. 20-49 52. 22-75 . 13-49 42. 18-91 48. 29-39 51. 19-10 54. 18-8 54. 43-2( 43. 18-92 40. 10-3( 29. 35-0 52.41-08 53. 52-0 54. 17- H 53.47-71 53. 5-4 37. 40-4 42. 58-1J 47. 15-04 53. 57-27 Interval at rbidi Observa- :iun was made >efore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. 0-54 0-99 + 0-90 + 0-63 + 0-54 -r-0-2' 0-63 Jorrec- ion for Curva- ture of Path. 0-81 0-18 + 0-08 0-18 0-3( -0'7- 0'9( o-o + 0-2 + 0-7 0-5. -o-r Geocentric N.P.D. >fU. L. orL. L., at Transit of 1 L. or 2 L. 0-9 -0-90 + 0-27 + 0-27 o-oo 05.27.40-89 16. 0.36-75 66. 54. 37-00 71.20.30-74 76. 52. 58-88 83. 8. 6-66 107.46.35-12 115. 1.28-99 112.20.31-91 93.45.54-79 88. 4.57-43 94. 11.18-03 100.21.42-48 110.34.25-23 114. 2. 3-6: 90. 22. 34-2; 84.43. 9-84 69. 7.40-78 104. 26.28'9 109. 19. 46-39 117. 8. 9-34 116.41.40-79 114.52.47-75 81.11. 8-17 83. 20. 26-79 90. 10. 55-56 108. 8. 59-64 Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. 05.11.41-43 116.15.36-93 67. 10. 47-76 71. 36. 43-34 77. 9.11-82 83.24. 18-43 108. 2.22-98 115.16. 28-21 112.35.25-43 94. 0. 53-58 88.20. 4-48 94. 27. 16-48 100. 37. 33-63 110.50. 0-14 114.17.29-8; 90.37.33-13 84. 58. 17-60 69. 23. 27-59 104. 42. 12-7 109.35.20-16 116.53. 1-29 116.26. 39'5 114.37.52-31 81.26.14-5 83.37. 0-0 90. 27. 18-01, 108.24.41-63 Tabular Miquity of Ecliptic. 3. 28'. Moon's U. L. .. 70. 29. 1-40 30-01 75'50 2. 34'83 57. 24-8053. 57'27 0-63108. 8.59'64108.24.41-63 Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. - p = 38. 31'. 20" -22 : q = 3" '51. 9-37 9-29 9-08 9-07 9-05 9-04 8-98 8-92 8-90 8-86 8-86 8-80 8-79 8-79 8-79 8-84 8-84 8-87 9'03 9-04 9-10 9-11 9-14 9-28 9-52 9-54 9-62 SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (113) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equaioreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1780. Aug. 8 Moon's U. L. . . o ' /; 74. 37. 59-50 29-93 o 72-50 / // 3. 19-07 / // 56.39-18 / // 54. 28-81 i it t 0-81 O ' /' 112. 18. 10-50 O / // 112.33.39-98 9-64 9 Moon's U. L. . . 77.29. 2-50 29-92 71-50 4. 4-92 55. 58-68 54. 30-57 0-99 115. 9.57-57 115.25.15-95 9-65 11 Moon's L. L. 79. 22. 46-90 29-85 66-50 4. 49-60 54.56-12 53. 52-08 1-08 117. 5. 5-16 116.50. 3-93 9-71 12 Moon's L. L. 77. 57. 17-00 29-85 61-50 4. 18-92 54. 33-73 53.13-91 0-99 115.39.42-76 115.24.47-67 9-73 17 Moon's TJ. L. . . 56. 12, 16-10 29-80 61-50 1.24-30 54. 5-50 44. 46-35 0-18 94. 0. 14-34 94. 15. 1-70 9-86 21 22 23 Moon's U. L. . . Moon's U. L. . . 34. 30. 36-00 30. 7.41-40 29-89 29-94 30-08 61-50 58-50 56-50 0. 39-00 0.33-18 0.29-08 55. 49-06 56. 36-16 57. 30-50 31. 24-99 28. 12-02 25. 40-57 + 0-63 + 0-81 -I-0-99 72.31. 9-81 68.11.22-29 64.51.31-03 72. 46. 25-55 68.26.50-95 65. 7. 14-58 9-95 9-98 9-99 Moon's U. L. . . 26. 45. 22-80 Sep. 4 Moon's U. L. . . 73.33.48-80 30-05 64-50 3. 9-60 57. 34-58 55. 4-26 0-81 111. 13. 14-82 111.28.59-48 10-21 5 Moon's U. L. . . 76. 56. 22-10 30-04 65-50 3. 58-62 56. 40-77 55. 4-33 0-90 114.36.37-17 114.52. 7-09 10-23 6 Moon's U. L. . . 78. 50. 33-60 29-79 64-50 4.36-71 55. 53-63 54. 42-20 0-99 116.31.48-91 116.47. 5-91 10-25 11 Moon's L. L. 68.42.41-10 29-79 57-50 2. 25-17 54. 0-55 50. 10-39 0-54 106. 26. 16-55 106. 11. 30-56 10-31 12 Moon's L. L. 63. 47. 38-20 29-95 57-00 1. 56-00 53.59-12 48. 16-50 0-45 101.32.38-17 101.17.52-57 10-33 14 Moon's L. L. 52. 48. 33-40 29-79 57-00 1. 15-06 54. 13-19 43. 0-83 o-oo 90.38. 7-89 90.23. 18-43 10-34 15 Moon's U. L. . . 46. 37. 47-70 29-75 59-50 0. 59-95 54.28-41 39. 24-32 + 0-27 84. 30. 43-48 84.45.37-11 10-36 16 Moon's U. L. . . 41. 4.38-20 29-49 60-50 0. 48-86 54. 49-37 35. 49-38 -t-0-36 79. 0.57-59 79. 15. 56-96 10-37 17 Moon's U. L. . . 35. 52. 15-90 29-37 58-50 0. 40-54 55. 16-63 32.11-15 + 0-54 73.52. 5-07 74. 7.11-91 10-38 18 Moon's U. L. . . 31.15.55-80 29-52 53-50 0. 34-57 55. 50-26 28. 46-33 + 0-72 69. 19. 3-74 69.34. 19-81 10-38 19 Moon's U. L. . . 27. 33. 52-90 29-58 51-00 0. 29-94 56. 30-79 25. 56-48 + 0-90 65. 39. 46-03 65. 55. 13-21 10-39 20 Moon's U. L. . . 25. 6.29-70 29-69 50-50 0. 27-00 57. 17-41 24. 5-84 + 0-99 63. 14. 10-49 63. 29. 50-44 10-39 22 Moon's L. L. 25.44. 10-60 30-00 50-50 0. 28-07 59. 1-32 25. 24-05 + 0-99 63. 50. 33-68 63. 34. 25-23 10-40 Oct. 2 Moon's U. L. . . 75. 53. 38-80 29-26 56-60 3. 39-22 57. 49-43 55. 56-00 0-90 113.32.42-74 113. 48*. 31-48 10-42 7 Moon's L. L. 74. 23. 21-30 29-50 50-50 3. 21-93 54.21-19 52. 12-63 0-81 112. 5.51-33 111.50.59-68 10-41 10 Moon's L. L. 60.21. 0-90 29-13 51-50 1.38-78 54. 6-90 46. 51-65 0-27 98. 7. 8-48 97. 52. 20-75 10-38 11 Moon's L. L. 54. 45. 25-40 29-55 48-50 1.21-33 54. 16-43 44. 8-84 -0-09 92.33.58-18 92. 19. 7-83 10-38 12 Moon's L. L. 49. 1. 1-20 29-92 45-50 1. 7-44 54.31-30 40. 58-25 +0-18 86. 52. 30-60 86. 37. 36-18 10-36 13 Moon's L. L. 43. 19. 13-20 29-80 50-50 0. 54-50 54. 50-58 37. 25-86 +0-27 81. 14. 1-79 80.59. 2-08 10-36 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N . P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 _ p = 38. 31'. 20" -22: q = 3'' '51. ' GREENWICH LUNAR REDUCTIONS. (Q) (114) SEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. ?aro- meter. Ther- mo- meter. Refrac- tion. Tabular lorizontal Squatoreal Parallax. Parallax. Interval at which Observa- ion was made icfore or after the bright Limb passed ;be Meridian. Cor- rection for Inter- val. Correc- on for lire of Path. Geocentric N.P.D. fU.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 3.28'. 1780. 1 II In. o , , / it " o / // o i a II Oct. 14 Moon's U. L. . . 37. 23. 33-50 29-60 59-50 0. 43-10 55. 13-71 3. 20-12 20 after + 4-16 + 0-96 75. 22. 20-93 75. 37. 26-97 10-35 17 Moon's TJ. L. . . 25. 34. 37-70 29-90 53-50 0. 27-61 56. 44-01 4. 16-95 + 0-99 63.42. 8-01 63. 57. 38-82 10-33 22 Moon's L. L. 36. 17. 59-80 29-77 42-50 0.43-13 59. 51-64 35. 13-14 + 0-54 74. 14. 49-60 73. 58. 27'37 10-26 Nov. 3 Moon's L. L. 75.48. 4-00 29-77 45-50 3. 46-69 54.49-51 53. 0-92 0-90 13. 30. 10-49 13. 15. 11-08 10-10 4 Moon's L. L. 72. 3.25-90 29-92 42-50 3. 0-36 54. 25-53 51. 38-10 0-72 09.46. 8-85 109. 31. 16-01 10-07 5 Moon's L. L. 67. 31. 49-30 29-64 47-50 2. 19-03 54. 12-54 49. 56-38 0-54 105. 15. 32-55 105. 0.43-27 10-06 f Moon's L. L. 56. 56. 29-00 29-70 34-50 1.31-32 54. 16-88 45. 19-13 5 after + 1-13 0-15 94.44. 2-68 94. 29. 12-21 10-03 8 Moon's L. L. 51. 13. 39-70 29-95 33-50 1. 14-86 54.32-17 42. 20-04 30 after + 6-98 + 0-02 89. 4. 1-68 88.49. 7-02 10-01 13 Moon's U. L. . . 26. 21. 40-00 29-59 43-50 0. 28-87 56.51-33 25. 2-05 + 0-99 64. 28. 26-52 64. 43. 59-33 9-93 14 Moon's U. L. . . 24. 25. 58-80 29-81 33-50 0. 27-23 57.21-33 23. 30-68 + 1-08 62.34.15-03 62. 49. 56-06 9-92 15 Moon's L. L. 24.45.14-20 29-88 27-50 o. 28-or 57. 49-68 24. 0-02 + 1-OS 62.53. 1-94 62.37.13-14 9-90 16 Moon's L. L. 26.21.28-30 29-67 34-50 0. 29-49 58. 15-86 25. 39-lo + 0-99 64. 27. 38-34 04. 1 1. 42-36 9-89 Dec. 8 Moon's L. L. 36.49. 31-50 30-34 36-50 0. 45-37 55. 44-49 33. 12-4 + 0-54 74. 48. 24-30 74.33. 9-81 9-65 17 Moon's L. L. 44. 55. 48-80 30-35 30-50 1. 1-20 59. 13-99 41.37-4 + 0-27 82. 46. 32-60 82. 30. 20-68 9-64 18 Moon's L. L. 51. 38. 55-70 30-35 30-50 1. 17-46 59. 7-47 46. 10-0 o-oo 89.25.23-30 89. 9. 13-13 9-64 1781. Jan. 2 Moon's L. L. 50. 5.26-20 29-46 37-50 1.10-13 54. 21-09 41.30-3 + 0-09 87.56.26-21 87. 41. 34-56 9-76 3 Moon's L. L. . . 44. 27. 42-00 29-88 34-50 0. 58-78 54.42-02 38. 7-2 + 0-27 82. 21. 53-58 82. 6.56-22 9-77 4 Moon's L. L. 39. 1.48-60 30-00 31-50 0. 49-08 55. 13-22 34. 34-4 + 0-54 76. 59. 23-21 76. 44. 17-30 9-79 8 Moon's U. L. . . 24. 19. 31-40 30-40 34-50 0. 27-5 58.19-88 23. 48-7 -r-1-0 62. 27. 29-95 62. 43. 27-04 9-84 9 Moon's TJ.L... 24. 29. 36-90 30-46 30-50 0. 28-0 59. 3-71 24. 16-0 40 after -1-7 + 0-1 62.37. 5-9 62.53. 15-01 9-87 30 Moon's L. L. 46. 26. 59-50 29-81 46-50 1. 1-3 54. 15-1 3 39. 7-8 + 0-2 84.20. 13-13 84. 5. 23-14 10-29 Feb. 1 Moon's L. L. 35.51.21-60 29-92 45-50 0. 42-3 55. 5-94 32. 4-3 + 0-54 73.51.19-43 73. 36. 15-52 10-34 2 Moon's L. L. 31. 19. 19-30 30-07 43-50 0. 36-0 55. 47-21 28. 47-6 + 0-7 69. 22. 27-35 69. 7.12-11 10-37 4 Moon's L. L. 25. 18. 13-90 29-83 44-50 0. 27-7 57. 33-7 24. 23-4 + 0-9 63. 25. 37-83 63. 9.53-40 10-42 6 Moon's U. L. . . 25.13. 7-20 29-88 44- 5C 0. 27-6 59. 27-2S 25. 6-6 + 0-9 63. 19. 47-80 63.36. 3-36 10-47 1 Moon's TJ. L. . . 28. 22. 39-70 29-80 41-50 0.31-8 60.13-1 28. 23-8 + 0-9 66.26. 8-40 66. 42. 36-54 10-49 Moon's TJ. L. . 33. 17. 16-20 29-4 46-OC 0. 37-8 60. 44-2 33. 6-5 + 0-6 71. 16. 7-20 71.32.43-85 10-52 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p=38.31'.20"-22 : q=3"'51. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (115) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva - ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquit) of Ecliptic. 23.28'. 1781. Feb. 9 Moon's L. L. o / // 40. 2.51-10 in. 29-65 o 44-50 / n 0. 48-94 / // 60. 56-95 / // 38. 59-74 s // + 0-45 o / // 77.56. 0-24 O t ft 77. 39. 20-10 it 10-54 13 Moon's L. L. 67.25. 6-80 29-33 42-50 2. 18-25 59. 6-89 54.24-87 0-54 105. 4.20-77 104. 48. 10-79 10-64 15 Moon's L. L. . . 76. 44. 20-50 29-84 35-50 4. 8-56 57. 32-48 55. 52-09 -0-90 114.23.57-74 114. 8.13-65 10-68 Mar. 5 Moon's TJ. L. . . 24. 11. 32-30 30-20 44-50 0. 26-66 58. 19-59 23.41-17 - + 1-08 62. 19. 37-46 62. 35. 34-47 11-00 6 Moon's U. L. . . 26.21.28-30 30-20 45-50 0. 29-34 59. 20-01 26. 7-35 + 0-99 64.27. 9-99 64. 43. 23-56 11-01 7 Moon's U. L. . . 30.22. 11-50 30-02 42-50 0. 34-71 60. 14-48 30. 13-98 + 0-81 68. 23. 51-97 68. 40. 20-47 11-03 10 Moon's L. L. 50. 35. 42-30 30-07 42-50 1.12-11 61.23-52 47. 13-62 + 0-09 88.21. 1-00 88. 4.13-58 11-08 11 Moon's L. L. 57.59. 1-30 30-13 36-50 1.36-01 61. 5-25 51. 36-09 0-27 95.40.21-52 95.23.39-11 11-08 13 Moon's L. L. 70. 55. 32-70 30'20 34-50 2. 53-62 59. 39-49 56. 13-36 0-63 108. 33. 33-67 108. 17. 14-76 11-10 14 Moon's L. L. 75.39. 4-00 30-29 32-50 3. 54-63 58. 43-02 56. 44-46 0-90 113. 17. 34-88 113. 1.31-45 11-10 30 Moon's L. L. 26. 33. 56-80 29-83 43-50 0. 29-37 55. 35-71 24. 39-47 + 0-99 64.41. 6-41 64. 25. 54-34 11-14 Apr. 1 Moon's U. L. . . 23.42. 6-20 29-65 42-50 0. 25-68 57. 5-20 22.44-16 + 1-08 61.51. 7-36 62. 6.43-97 11-14 2 Moon's U. L. . . 25. 3. 7-30 29-80 47-50 0. 27-20 57.59-18 24. 20-32 + 0-99 63.10.33-81 63. 26. 25-22 11-13 3 Moon's U. L. . . 28. 10.34-60 29-80 42-50 0. 31-49 58. 55-33 27.36-18 + 0-90 66. 14. 49-62 66. 30. 56-42 11-12 6 Moon's U. L. . . 45.59.29-10 29-42 42-50 1. 0-03 61. 7-39 43. 44-68 +0-27 83.48. 4-56 84. 4.47-56 11-11 10 Moon's L. L. 73. 39. 17-90 29-65 46-50 3. 15-24 60. 0-48 57. 25-72 -0-81 111.16.28-10 111. 0. 3-44 11-07 13 Moon's U. L. . . 79. 59. 39-20 29-89 37-50 5. 26-43 57. 5-59 56. 5-52 1-08 117. 40. 20-88 117.55.57-60 11-03 14 Moon's U. L. . . 78. 48. 14-60 29-64 42-50 4. 47-35 56. 11-90 54. 59-67 0-99 116.29.23-08 116.44.45-09 11-02 15 Moon's U. L. . . 76. 11. 14-50 29-77 47-50 3. 52-10 55.26-19 53.41-62 0-90 113.52.45-72 114. 7.55-18 11-01 16 Moon's U. L. . . 72.27. 0-00 29-79 47-50 3. 1-86 54. 49-86 52. 7-87 -0-72 110. -9. 14-70 110.24.14-21 11-00 May 1 Moon's U. L. . . 30.54.31-70 29-88 55-50 0. 34-36 58.35-11 29. 52-54 + 0-81 68. 56. 33-29 69. 12. 34-56 10-79 2 Moon's TI. L. . . 36. 18. 38-80 29-91 55-50 0. 42-21 59. 19-40 34. 54-61 + 0-54 74.15.46-21 74.31.59-61 10-77 9 Moon's L. L. 79. 7.28-70 29-57 47-50 4. 51-78 59. 6-18 57. 54-31 0-99 116.45.46-98 116.29.37-20 10-65 11 Moon's U. L. . . 79. 30. 51-20 29-62 56-50 4. 57-00 57. 15-14 56. 9-66 1-08 117. 10. 59-28 117.26.38-61 10-62 12 Moon's TJ. L. . . 77. 24. 33-60 29-75 56-50 4. 9-61 56. 21-65 54.51-99 -0-99 115. 5. 11-94 115.20.36-62 10-60 28 Moon's U. L. . . 29. 36. 18-20 30-10 67-50 0. 32-08 58. 3-00 28. 27-69 + 0-81 67. 39. 42-29 67. 55. 34-75 10-39 29 Moon's U. L. . . 34. 33. 13-70 29-97 70-50 0. 38-47 58. 34-20 33. 0-15 + 0-63 72.32.11-82 72. 48. 12-83 10-37 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90- p = 38. 31'. 20" '22: q =3'"51. 1781. May 9. The Thermometer-reading is entered in the Manuscript and is printed 37: it is altered conjecturally to 47. (Q)2 (116) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Mouth, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. In Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L.orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. i78i. May 31 Moon's U. L. . . o / u 47. 12. 46-90 in. 29-90 o 68-50 ' a 1. 0-40 / // 59. 28-76 / a 43. 26-43 * II -i-0-18 O ' // 85. 1.40-97 o r a 85. 17. 56-94 (/ 10-36 June 1 Moon's U. L. . . 54. 12. 53-40 29-90 69-50 1. 17-33 59. 48-24 48. 18-75 0-09 91.57.12-23 92. 13. 33-54 10-35 t Moon's U. L. . . 67. 35. 58-00 29-71 62-50 2. 15-61 59. 58-06 55.16-11 0-54 105. 14. 18-10 105.30.42-10 10-34 4 Moon's U. L. . . 73. 5.31-40 29-74 57-50 3. 4-86 59. 44-45 56. 59-95 0-72 110.42.57-05 110.69.17-32 10-33 28 Moon's U. L. . . 52. 11.58-90 30-11 68-50 1. 12-53 59. 18-33 46. 39-46 o-oo 89.57.52-19 90. 14. 5-30 10-33 29 Moon's U. L. . . 59. 3. 11-40 30-24 72-50 1. 33-37 59.21-47 50. 43-01 0-27 96.45.22-12 97. 1.36-10 10-33 30 Moon's U. L, . . 65.32. 8-40 30-07 70-50 2. 2-53 59. 18-75 53. 48-61 10 after 2-46 [0-38 103. 1 1. 40-50 103. 27. 53-73 10-34 July 4 Moon's L. L. 80.26.48-50 30-10 58-50 5. 28-50 57. 56-6-2 57. 0-61 1-08 118. 6.37-18 117.50.46-48 10-39 5 Moon's L. L. 79.46. 5-00 30-02 56-50 5. 8-19 57. 19-94 56. 17-41 1-08 117.26.16-54 117. 10. 35-88 10-40 14 Moon's U. L. . . 35.34. 4-60 29-98 57-50 0.41-01 54. 39-14 31. 35-24 + 0-54 73.34.30-14 73.49.26-71 10-54 Aug. 6 Moon's U, L. . . 59. 53. 28-70 29-95 57-00 1. 38-60 54. 38-78 47. 5-93 0-27 97.39.21-79 97. 54. 18-26 10-97 8 Moon's U. L. 48. 19.51-50 29-83 60-50 1. 3-67 54. 10-H 40. 16 41 + 0-18 86. 11.58-93 86. 26. 47-55 11-02 10 Moon's U. L. . . 37.21.43-50 29-90 60-50 0. 43-40 54. 17-82 32. 45-00 + 0-54 75.21. 1-77 75. 35. 52-50 11-06 24 Moon's U. L. . . 68. 16. 8-60 29-54 71-50 2. 16-89 59. 35-34 55. 10-93 30 after 7-05 0-14 105.54.28-55 106. 10. 46-32 11-35 25 Moon's U. L. 73.34. 3-00 29-56 68-50 3. 5-06 58. 59-70 56. 25-73 20 after 3-69 0-3(i 111.11.59-77 111.28. 7-78 11-36 27 Moon's U. L. . . 79.41.20-60 29-63 69-50 4. 53-90 57.42-17 56. 38-09 -1-08 117.20.57-16 117. 36. 43-90 11-40 28 Moon's U. L. . . 80. 9. 0-40 29-47 69-50 5. 5-34 57. 4-75 56. 6-25 5 after + 0-08 -0-91 117.49.20-52 118. 4.57-01 11-42 29 Moon's L. L. 79.24.21-70 29-77 62-50 4. 51-93 56. 29-46 55. 23-iK) 1-08 117. 5. 10-47 116.49.43-66 11-44 30 Moon's L. L. 76.38.53-10 29-76 67-50 3. 50-32 55. 56-77 54. 17-86 0-90 114.19.40-33 114. 4.23-48 11-45 31 Moon's L. L. 72.41.25-50 29-78 61-50 2.59-21 55. 27-25 52. 47-85 0-72 1 10. 22. 57-58 110. 7.47-83 11-46 Sep. 2 Moon's L. L. 62. 25. 40-70 29-82 62-50 1.47-73 54. 38-07 48. 15-80 0-36 100. 10. 33-11 99. 55. 36-83 11-50 5 Moon's U. L. . . 44.35.44-10 29-58 55-50 0.55-98 54. 0-55 37. 43-56 10 after + 2-26 4-0-36 82. 30. 18-90 82.45. 4-89 11-55 6 Moon's U. L. . . 39. 7. 0-80 29-78 51-50 0. 46-88 54. 1-85 33. 53-43 -t-0-45 77. 5. 14-14 77.20. 0-50 11-56 7 Moon's U. L. . . 31. 5.58-00 29-98 55-50 0. 38-99 54.11-79 30. 10-99 + 0-63 72. 7.45-77 72. 22. 34-84 11-57 8 Moon's U. L. . . 29. 45. 20-20 30-12 61-50 0. 32-68 54. 31-52 26.51-48 + 0-81 67.50.21-11 68. 5. 15-59 11-58 24 Moon's U. L. . . 80.21.22-90 29-48 50-50 5. 24-24 57. 38-70 56.41-80 15 after 0-09 0-61 118. 1.2651 118. 17.12-31 11-68 25 Moon's L. L. 80. G. 23-60 29-63 47-50 5. 20 13 56. 50-49 55. 52-08 1-08 117.47. 8-30 117.31.35-72 11-68 Tlie Moon's U. L. or L. L. WHS usually observed wlien tlie bright 1 L. or 2 L. was passing the Meridian. The Geocentric N.I'. U. of Limb and of Ceuter in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. SO 3 - p = 38.3K 20" : 22 : q = 3" -51. From 1781, Sep. 25, 90 - p = 38. 31'. 15" 76 : q = 4" -23. V SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (117) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U.L.orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1781. Sep. 28 Moon's L. L. O 1 II 69. 32. 44-40 in. 29-95 o 49-00 / // 2. 35-06 / U 55. 1-04 / // 51. 23-84 // If -0-63 o / // 107. 15. 12-00 O 1 II 107. 0. 9-43 II 11-68 30 Moon's L. L. 58. 39. 49-50 29-97 58-50 I. 33-71 54. 18-43 46. 12-79 0-27 96. 26. 26-38 96.11.35-48 11-68 Oct. 1 Moon's L. L. 52.50. 1-30 30-03 57-50 1. 15-65 54. 5-22 42.55-18 o-oo 90. 39. 37-58 90. 24. 50-30 11-67 2 Moon's L. L. 47. 0. 22-80 29-93 52-50 1. 1-99 53. 57-67 39. 16-80 + 0-27 84. 53. 23-64 84. 38. 38-43 11-67 3 Moon's L. L. 41. 23. 19-60 30-12 48-50 0. 51-69 53. 55-59 35. 27-62 + 0-36 79. 19. 59-01 79. 5.14-38 11-66 Moon's U. L. . . 31. 3.41-60 30-12 45-50 0. 35-57 54. 10-82 27. 45-20 + 0-76 69. 7.46-98 69. 22. 35-79 11-66 7 Moon's U. L. . . 24. 38. 36-40 30-30 45-50 0. 27-26 54. 57-09 22. 42-56 10 after -r-0-79 + 1-35 62. 47. 37-07 63. 2.38-57 11-64 8 Moon's U. L. . . 23.20.31-00 30-36 43-50 0. 25-80 55. 33-57 21.48-48 + 1-08 61.30.23-14 61. 45. 34-63 11 64 Q Moon's L. L. 24. 7. 6-30 30-19 43-50 0. 26-61 56. 18-64 22.48-12 + 1-08 62. 15. 59-66 62. 0.35-81 11-63 22 Moon's U. L. . . 80. 7.48-00 30-17 44-50 5.28-83 57. 53-54 56. 54-07 1-08 117.47.39-41 118. 3.29-27 11-48 23 Moon's L. L. 78. 46. 36-80 30-13 4350 4. 50-82 56. 56-38 55.43-14 0-99 116.27. 1-13 116.11.2694 11-46 26 Moon's L. L. 60. 3.44-50 30-20 43-50 2. 13-46 54. 50-02 49. 57-53 0-54 103.47.16-66 103.32.17-11 11-42 28 Moon's L. L. 54. 45. 30 00 29-49 47-50 1. 21-34 54. 8-65 44. 2-54 0-09 92.34. 4-66 92.19.16-45 11-38 29 Moon's L. L. 48. 55. 56-20 29"26 40-50 I. 6-45 53. 59-39 40.31-11 -I-0-18 86. 47. 47-24 86.33. 1-66 11-36 30 Moon's L. L. . . 43. 14. 0-80 29-44 39-50 0.54-91 53. 56-43 36. 45-33 + 0-27 81. 9.25-76 80. 54. 40-89 11-35 31 Moon's L. L. 37.50.57-20 29-67 41-50 0. 45-56 53. 59-42 32. 55-85 + 0-54 75.50. 2-17 75. 35. 16-48 11-33 Nov. 1 Moon's U. L. . . 32. 29. 38-00 29-61 47-50 0. 36-82 54. 7-68 28. 52-62 -t-0'72 70. 32. 37"27 70. 47. 25-22 11-31 3 Moon's U. L. 25. 22. 23-00 29-79 39-50 0. 28-05 54. 40-92 23.13-73 + 0-99 63. 30. 54-31 63.45.51-36 11-27 7 Moon's L. L. . . 28. 8.45-40 29-80 39-50 0.31-65 57. 0-21 26. 40-73 + 0-90 66. 13. 53-43 65.58. 18-18 11-20 8 Moon's L. L. 32.30. 9-40 30-14 33-50 0. 38-60 57. 49-56 30. 51 54 + 0-72 70.31.13-73 70. 15. 24-96 11-17 22 26 Dec. 1 Moon's L. L. Moon's L. L. . . 67. 53. 17-50 45. 7. 37-20 29-72 29-90 30-03 35-50 43-50 41-50 2.25-48 0. 59-08 0. 27-20 55.29-81 54. 1-79 55. 7-43 51. 15-52 38. 5-92 22. 45 23 0-54 -1-0-27 + 1-08 105. 35. 46-45 83. 1.48-23 62.45.41-79 105. 20. 35-99 82.47. 1-90 62. 30. 37-46 10-95 10-88 10-81 Moon's L. L. 2 4. 36. 42-80 10 Moon's L. L. 62.56. 9-10 29-71 33-00 1. 56-55 60. 5-41 53. 19-75 0-30 100.36. 4-65 100. 19. 38-64 10-74 20 Moon's L. L. 64.34. 12-10 29-91 47-00 2. 2-3(5 55.39-11 50. 5-72 -0-45 102.17.27-54 102. 2.14-52 10-72 23 Moon's L. L. 47. 6.55-00 29-73 51-50 1. 1-93 54. 14 55 39. 33-31 + 0-27 84. 59. 41-66 84.44.51-83 10-72 24 Moon's L. L. 41.31. 9-80 29-69 50-00 0.51-03 54. 8-04 35.41-30 + 0-36 79.27.37-13 79. 12. 49-08 10-72 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olnfsru's yU p ami q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 15'' -76 : q = 4" "23. From 1781, Nov. 3, 90- p = 38. 31'. 18" '20 : q = 4"'94. (118) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L.orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1781. Dec. 25 Moon's L. L. Oft/ 36. 18. 44-30 29-99 o 46-00 / // 0.43-16 / // 54. 11-79 / // 31.53-75 // it + 0-54 O 1 // 74.18.51-11 o / // 74. 4. 2-04 // 10-73 27 Moon's L. L. 27. 55. 14-80 29-83 49-00 0. 30-77 54. 45-07 25. 26-07 + 0-90 60. 1.36-59 65. 46. 38-39 10-74 .28 Moon's L. L. 25. 15. 40-40 29-75 48-50 0. 27-36 55.11-54 23. 20-94 + 0-99 63.24. 3-80 63. 8. 58-35 10-75 29 1782. Jan. 2 Moon's U. L. . . Moon's L. L. 23. 29. 19-60 34. 48. 38-30 29-87 29-60 43-00 46-50 0. 25-59 0. 40-26 55. 41-80 57.46-12 21. 59-56 32. 45-95 + 1-08 -f 0-63 61.39. 2-56 72. 47. 49-98 61. 54. 16-32 72.32. 2-15 10-75 10-81 5 Moon's L. L. 54. 2.17-10 29-81 44-00 1. 20-66 58. 55-78 47. 30-17 0-09 91.47.25-85 91.31. 18-92 10-85 7 Moon's L. L. 67.17.53-70 29-67 41-00 2. 19-48 59.25-14 54. 38-78 0-54 104. 56. 53-33 104. 40. 38-36 10-87 18 Moon's L. L. 55. 14. 40-50 29-72 37-00 1. 25-30 55. 2-33 45. 2-36 0-18 93. 2.21-72 92.47. 18-79 11-03 19 Moon's L. L. 49. 17. 31-20 29-73 46-50 1. 7-53 54. 35-38 41.11-61 + 0-09 87. 8.45-16 86. 53. 49-62 11-05 25 Moon's L. L. 24. 13. 19-80 29-67 39-50 0. 26-50 55.31-59 22. 34-56 -r-1-08 62.22.28-73 62. 7. 17-78 11-17 30 Moon's L. L. 38. 36. 48-30 29-78 32-50 0. 47-90 58.40-39 36.24-17 + 0-54 76. 32. 29-62 76. 16. 20-91 11-28 31 Moon's L. L. 45. 8.38-80 30-03 29-50 1. 1-14 59. 2-49 41.38-73 + 0-27 82. 59. 19-08 82.43. 10-31 11-30 Feb. 2 Moon's L. L. 59. 4.32-20 29-61 35-50 I. 38-67 59. 21-28 50. 43-82 -0-27 96. 46. 45-56 96. 30. 31-64 11-34 5 Moon's L. L. 76. 18. 56-60 29-56 32-00 4. 0-42 59. 0-57 57.11-45 0-90 113.57. 4-88 113.40.56-64 11-42 17 Moon's L. L. 40. 6. 7-60 30-30 29-50 0.51-71 54. 15-07 34. 45-02 + 0-45 78. 3. 33-90 77.48.43-99 11-64 20 Moon's L. L. 27. 1. 2-40 30-22 36-50 0. 30-79 54. 32- 1 1 24. 34-29 + 0-90 65. 8.15-92 64. 53. 21-27 11-71 21 Moon's U. L. . . 24. 8. 6-50 29-73 36-00 0. 26-64 54. 59-74 22. 17-00 + 1-08 62. 17. 33-12 62. 32. 35-34 11-72 22 Moon's U. L. . . 23. 9. 7-20 29-48 39-00 0. 25-05 55. 37-43 21.39-82 5 after + 0-04 + 0-91 61. 19. 9-21 61.34.21-77 11-74 24 Moon's U. L. . . 26. 3.14-10 29-93 39-00 0. 29-08 57. 13-39 24. 55-25 + 0-99 64. 10. 4-97 64. 25. 43-83 11-77 25 Moon's U. L. 29. 57. 31-50 30-14 43-50 0. 34-20 58. 4-56 28.47-16 + 0-81 68. 0.35-70 68. 16. 28-58 11-79 27 Moon's U. L. ( a ) 41. 38. 32-60 29-91 44-50 0. 52-22 59.31-16 39. 20-02 + 0-36 79. 31. 22-46 79. 47. 39-09 11-83 28 Moon's TJ. L. . . 48.41. 8-20 30-15 37-50 1. 8-30 59. 58-25 44.50-10 + 0-18 86. 28. 44-48 86.45. 8-53 11-84 Mar. 3 Moon's L. L. 69. 56. 48-60 30-03 32-50 2. 44-40 59. 55-23 56. 7-47 0-63 107. 34. 44-59 107. 18.21-37 11-88 6 Moon's L. L. 80. 51. 41-10 29-64 36-00 5. 53-94 58. 27-30 57. 35-02 1-08 118.31.19-50 118. 15. 20-37 11-92 20 Moon's L. L. 25.18. 2-30 29-73 43-50 0. 27-67 54. 27-09 23. 4-17 + 1-08 63. 26. 42-87 63. 11.49-CO 12-00 23 Moon's U. L. . . 24. 40. 28-60 29-30 30-50 0. 27-24 56. 19-16 23. 18-15 + 1-08 62. 48. 54-71 63. 4.18-70 12-00 25 Moon's U. L. . . 32. 22. 14-30 29-71 35-50 0. 37-70 58. 11-81 30. 56-54 + 0-72 70. 23. 12-72 70.39. 7-59 11-99 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. U. is formed by adding Olufsen's 90-p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 18" -20 : q = 4" '94. ( a ) Observed at Transit of 2 L. Increase of N. P. D. during passage of Semidiameter = + 18" '28. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (119) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L.or2L. Tabular Obliquity of Ecliptic. 23.28'. 1782. Mar. 26 Moon's U. L. . . o < 38. 12. 36-90 in. 29-88 39-50 / * 0. 46-68 / a 59. 8-74 36. 22-06 1 it it + 0-54 O / II 76. 8. 19-08 O f II 76. 24. 29-56 II 11-99 29 Moon's U. L. . . 59. 43. 56-60 29-40 45-50 1. 38-47 60. 56-47 52. 26-36 0-27 97. 24. 27-28 97.41. 7-28 11-99 31 Moon's L. L. 73. 17. 32-90 29-22 42-00 3. 9-90 60. 40-88 57. 57-76 -0-72 110.54. 4-28 110. 37. 28-55 11-97 Apr. 2 Moon's L. L. 80. 30. 53-50 29-07 36-50 5. 34-77 59. 25-94 58.29-21 8 after 0-53 -1-39 118. 9.17-67 117.53. 2-47 11-95 3 Moon's L. L. 81. 9.51-70 29-37 34-50 6. 3-16 58. 37-86 57. 48-38 1-08 118.49.25-98 118. 33. 23-96 11-94 20 Moon's U. L. . . 26. 18. 49-60 29-60 43-00 0. 28-85 56. 9-73 24.41-23 + 0-99 64. 25. 54-24 64.41.15-65 11-74 21 Moon's U. L. . . 30.10.35-10 29-60 47-50 0. 33-61 57. 1-76 28. 27-27 -fO-81 68. 13. 58-62 68. 29. 34-29 11-73 22 Moon's U. L. . . 35. 19. 9-00 29-68 47-50 0.41-05 57. 59-99 33. 19-02 + 0-54 73. 17. 48-35 73. 33. 39-98 11-71 30 Moon's L. L. 81. 6.43-40 29-96 33-50 6. 9-27 59. 56-66 59. 5-57 5 after 0-10 -1-27 118.45. 6-29 118.28.42-70 11-55 May 18 Moon's U. L. . . 28. 46. 55-20 29-32 54-50 0.31-00 56. 7-17 26. 48-67 + 0-90 66. 51. 54-69 67. 7.15-40 11-22 23 Moon's U. L. . . 59. 31. 55-50 29-39 49-50 1. 36-85 60. 20-80 51.49-23 -0-27 97.13. 1-67 97. 29. 31-90 11-15 24 Moon's U. L. . . 66. 25. 26-20 29-81 48-50 2. 12-33 60. 56-76 55. 40-77 0-54 104. 3.16-62 104. 19. 56-70 11-13 29 Moon's U. L. . . 78. 45. 42-60 29-68 50-50 4. 41-85 59. 19-78 58. 3-00 0-99 116. 23.40-86 116.39.54-37 11-06 June 14 Moon's U. L. . . 27. 47. 54-80 30-01 65-50 0. 29-79 55.46-17 25. 48-07 + 0-90 65. 53. 53-60 66. 9. 8-55 10-93 15 Moon's U. L. . . 32. 1. 030 30-15 71-50 0. 35-08 56. 20-36 29. 39-58 30 after 5-62 + 0-18 70. 3. 6-87 70.18.31-20 10-93 16 Moon's U. L. . . 37. 17. 10-90 30-14 74-50 0. 42-44 56. 58-56 34. 18-35 + 0-54 75. 14. 52-47 75. 30. 27-27 10-92 17 Moon's U. L. . . 43.21.48-90 29-96 73-50 0. 52-41 57. 40-22 39. 23-38 + 0-27 81. 14. 35-65 81. 30. 21-86 10-92 19 Moon's U. L. . . 56.51.34-00 30-20 69-50 1.26-18 59. 7-70 49. 18-94 0-18 94. 34. 59-65 94.51. 9-85 10-91 20 Moon's U. L. . . 63. 39. 12-60 30-25 67-50 1. 54-02 59. 48-04 53. 24-37 0-45 101. 19. 0-97 101. 35. 22-23 10-91 21 Moon's U. L. . . 69. 56. 17-30 30-38 60-00 2. 36-99 60. 20-90 56. 31-05 0-63 107. 33. 42-30 107. 50. 12-56 10-91 22 Moon's U. L. . . 75. 11.44-40 30-40 61-00 3. 34-93 60.41-21 58. 30-99 0-81 112.48. 7-65 113. 4.43-47 10-92 23 Moon's U. L. . . 78. 51. 10-90 30-30 58-50 4.45-21 60. 45-64 59.28-15 0-99 116. 27. 47-37 116.44.24-41 10-92 25 Moon's L. L. 80. 19. 7-30 29-85 63-50 5. 18-32 60. 1-46 59. 2-05 1-08 117.56.43-01 117.40.18-08 10-93 27 Moon's U. L. . . 72. 45. 49-60 29-96 53-50 3. 4-07 58. 24-45 55. 37-69 0-72 110.24.35-18 110. 40. 33-53 10-94 July 2 Moon's U. L. . . 43. 22. 48-20 29-87 52-00 0. 54-57 54. 36-45 37. 18-57 + 0-27 81. 17. 41-92 81. 32. 37-75 10-97 15 Moon's U. L. . . 48.10. 3-80 29-94 69-00 1. 2-47 57. 54-97 42. 56-98 -r-0-18 85. 69. 27-32 86. 15. 17-58 11-11 19 Moon's U. L. . . 73. 29. 36-10 30-18 66-00 3. 9-01 59. 42-92 57. 5 77 0-81 111. 6.58-51 111.23.18-36 11-17 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N.P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 18" -20 : q = 4" '94. (120) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1782. July 20 Moon's U. L. . . Q i II i77. 41. 16-80 in. 30-17 65-50 / U 4. 14-05 / // 59. 55-98 / // 58. 24-46 II U -0-99 o / // 115.18.28-46 G 1 II 115.34.51-89 11-18 21 Moon's U. L. . . 80. 5.36-20 30-01 63-50 5.13-13 59. 58-47 58. 56-42 1-08 117.43.15-10 117.59.39-21 11-20 22 Moon's L. L. 80. 56. 32-40 29-80 67-50 5. 35-55 59.47-82 58.55-09 25 after +0-75 -0-37 118.34.36-58 118.18. 15-39 11-22 24 Moon's L. L. (*) Moon's U. L. ( b ) 75.28.47-10 74. 56. 22-70 30-00 58-00 3. 37-63 3. 29-73 58.49-33 58. 49-33 56. 47-83 56. 39-00 0-81 113. 6. 59-76 112.34.33-10 112.50.54-59 112. 50. 38-27 11-25 27 Moon's U. L. . . 57. 56. 44-00 29-73 57-50 1. 30-59 56. 30-60 47. 42 '65 0-27 95.41.52-87 95. 57. 20-00 11-31 29 Moon's U. L. . . 45. 32. 27'OC 29-82 52-50 0. 58-69 55. 8-81 39. 9-86 + 0-27 83. 25. 36-09 83. 40. 40-79 11-34 30 Moon's U. L. . . 39. 47. 20-70 29-81 54-50 0. 47-77 54. 39-82 34. 46-97 + 0-45 77.44.41-39 77. 59.38-15 11-36 Aug. 16 Moon's U. L. . . 76.41.42-90 29-46 60-50 3. 52-10 59. 18-78 57. 34-36 0-90 114. 19. 22-72 114. 35. 35-96 11-66 17 Moon's U. L. . . 79.39. 3-70 29-49 59-50 4. 57-56 59. 17-75 58. 11-48 1-08 117.17.11-93 117.33.24-88 11-68 18 Moon's U. L. . . 80.40. 5-00 29-72 56-50 5. 32-99 59.10-16 58. 14-99 1-08 118. 18. 45-24 118.34.56-11 11-72 20 Moon's L. L. 77. 15. 49-00 29-79 57-50 4. 6-59 58. 33-03 56.58-15 -0-90 114.54.19-56 114.38. 18-86 11-75 25 Moon's TJ. L. . . 48. 2.57-00 29-90 55-00 1. 3-90 55. 33 83 41. 7-72 + 0-18 85. 54. 13-60 86. 9.25-16 11-84 26 Moon's U. L. . . 42. 1.47-90 29-74 57-50 0. 51-26 55. 1-40 36.38-38 + 0-36 79. 57. 20-79 80. 12. 23-46 11-86 28 Moon's TJ. L. . . 31. 39. 28-80 29-58 49-00 0. 35-50 54. 19-86 28. 18-80 + 0-72 69.43. 4-90 69. 57.56-18 11-89 30 Moon's U. L. . . 24.48. 6-80 29-98 46-50 0.27-11 54. 18-56 22.34-81 + 1-08 62. 57. 18-25 63.12. 9-18 11-92 Sep. 17 Moon's L. L. 74. 37. 16-00 29-34 59-00 3. 20-38 57. 44-01 55.31-21 0-81 112.16.27-14 112. 0.39-89 12-07 19 Moon's L. L. . . 63.43. 7-30 29-93 40-00 1.58-18 56.43-01 50.41-08 -0-45 101.25.45-71 101.10.15-18 12-07 22 Moon's U. L. . . 44.26.21-50 29-53 58-00 0. 55-31 55. 10-67 38. 20-09 +0-27 82. 20. 10-88 82. 35. 16-09 12-07 23 Moon's U. L. . . 38. 39. 4-90 29-58 53-00 0. 45-66 54. 45-13 33. 59-77 +0-54 76.37.10-66 76. 52. 8-87 12-07 27 Moon's U. L. . . 23. 36. 37-10 30-03 49-50 0. 25-53 54. 14-22 21.31-31 + 1-08 61. 46. 50-37 62. 1.40-11 12-07 30 Moon's L. L. 26. 18. 12-00 29-96 42-50 0. 29-22 55. 36-59 24.26-17 + 0-99 64. 25. 34-24 64.10.21-91 12-05 Oct. 1 Moon's L. L. 29. 56. 46-40 29-30 52-50 0. 32-62 56. 22-69 27. 56-07 -r-0-81 68. 0.42-28 67.45.17-32 12-04 12 Moon's U. L. . . 80. 38. 20-90 29-57 46-50 5. 37-42 59. 8-54 58. 13-12 1-08 118.17. 7-44 118.33. 17-86 11-95 13 Moon's L. L. 79. 23. 35-20 29-92 45-00 5. 4-03 58.29-34 57.21-35 1-08 117. 2.40-01 116. 4G. 40-33 11-93 14 Moon's L. L. 75. 56. 10-50 30-02 43-00 3. 52-04 57. 49-68 55.57-17 0-86 113.35.27-41 113.19.38-61 11-92 17 Moon's L. L. 59. 37. 13-70 30-29 45-50 1.41-00 56. 3-41 48.11-07 -0-27 97.22. 4-72 97. 6.45-04 11-88 19 Moon's L. L. 47.11.12-30 29-53 42-50 1. 2-82 55. 7-43 40. 14-69 + 0-18 - 85. 3.20-76 84.48.16-43 11-85 The Moon's U. L. or U L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olnfsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. From 1782, July 20, 90-p=3*.31'. 20" '64 : q = 5"'65. (") Observed at Transit of Center. Increase of N.P.D during passage of Semidiameter = 12" -39. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," "Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( b ) Observed at Transit of 2 L. A little scabrous. Correction applied for defective illumination; 2" '33. ' J^^ (WVBKSITY) SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (121) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1782. Oct. 21 Moon's U. L. . . / // 35.21. 18-40 in. 29-68 o 54-50 0. 40-52 54. 25-53 31. 17-49 l 8 after + 1-61 a +0-69 O / // 73.22. 2-75 o / // 73. 36. 55-59 ft 11-81 23 Moon's U. L. . . 26. 54. 37-00 30-00 41-50 0. 30-11 54. 2-76 24. 15-60 + 0-90 65. 2. 10-66 65. 16. 57-26 11-78 24 Moon's U. L. . . 24. 18. 25-30 30-24 37-50 0. 27-23 54. 1-46 22. 2-26 + 1-08 62.28. 9-38 62. 42. 55-62 11-76 28 Moon's L. L. 28. 18. 16-90 29-38 49-00 0. 30-80 55. 27-28 26. 5-35 + 0-90 66.24. 1-63 66. 8.51-87 11-69 29 Moon's L. L. 32. 34. 2-20 30-00 37-00 0. 38-24 56. 13-20 30. 3-31 20 after 3-79 + 1-28 70. 35. 53-38 70.20.31-02 11-66 30 Moon's L. L. . . 37.55. 9-20 29-44 45-50 0. 44-95 57. 6-98 34. 53-55 + 0-54 75. 52. 20-40 75. 36. 43-30 11-64 31 Moon's L. L. 44. 8.40-00 29-83 34-50 0. 58-04 58. 5-46 40.15-16 + 0-27 82. 0.43-00 81.44.49-87 11-62 Nov. 13 Moon's L. L. 61.23.56-40 30-53 38-00 1.51-12 56. 19-16 49. 16-47 0-36 99. 7.52-23 98. 52. 28-21 11-36 14 Moon's L. L. 55. 13. 43-90 30-44 40-50 1.26-68 55. 40-76 45. 33-29 0-18 93. 0. 58-05 92. 45. 44-58 11-34 16 Moon's L. L. 43. 7. 7-70 29-97 41-50 0. 55-44 64. 43-48 37. 12-60 20 after + 4-60 + 0-16 81. 2.15-06 80. 47. 17-29 11-29 17 Moon's L. L. 37. 35. 32-70 29-96 38-00 0. 45-92 54. 23-88 33. 0-70 + 0-54 75. 34. 37-69 75. 19. 45-30 1 1-27 18 Moon's L. L. 32.41. 13-60 29-84 40-50 0. 37-93 54. 9-79 29. 3-07 + 0-72 70.44. 7-96 70.29.19-43 11-26 19 Moon's L. L. () 28. 37. 39-20 29-91 40-50 0. 32-34 54. 0-94 25. 40-80 + 0-90 66. 43. 50-05 66.29. 3-95 11-24 20 Moon's U. L. 25. 8.17-20 29-98 32-50 0. 28-34 53.57-50 22. 43-29 + 0-99 63.17.21-34 63.32. 6-50 11-22 21 Moon's U. L. . . 23. 25. 16-40 29-91 29-50 0. 26-27 53. 59-77 21. 15-78 + 1-08 61.35.45-92 61.50.31-70 11-20 27 Moon's L. L. 41. 35. 30-40 29-82 34-50 0. 53-06 56. 50-00 37.31-37 4-0-36 79. 30. 12-06 79.14.39-61 11-08 28 Moon's L. L. 47. 57. 42-30 29-60 38-00 1. 5-31 57. 45-22 42. 41-58 -r-0-18 85. 47. 26-44 85.31.38-86 11-07 30 Moon's L. L. 61.40. 16-70 29-82 34-50 1.50-57 59.41-30 52.21-45 0-36 99.21. 7-02 99. 4.47-62 11-04 Dec. 14 Moon's L. L. 39. 9.30-10 29-48 36-50 0. 47-94 54. 33-79 34. 15-42 + 0-45 77. 7.22-45 76. 52. 27-35 10-90 15 Moon's L. L. 34. 4. 57-50 29-57 34-50 0.40-13 54. 14-62 30.11-89 + 0-63 72. 6.45-27 71. 51. 55-42 10-89 18 Moon's U. L. . . 23. 51.54-60 30-14 45-00 0. 26-17 54. 0-13 21. 38-90 48 after + 2-66 + 0-04 62. 2. 2-56 62. 16. 48-44 10-89 19 Moon's U. L. . . 23. 7.48-90 30-53 41-50 0. 25-79 54. 7-29 21. 3-60 + 1-08 61.18.30-10 61.33. 17-94 10-89 21 Moon's U. L. . . 25. 59. 36-50 30-38 43-50 0.29-17 54. 37-26 23.44-16 + 0-99 64. 7.40-67 64. 22. 36-73 10-89 22 Moon's L. L. 29. 55. 57-50 30-31 36-50 0. 34-86 54. 59-88 27. 14-38 + 0-81 68. 0.37-31 67. 45. 35-06 10-88 28 1783. Jan. 9 Moon's L. L. Moon's L. L. . . 65. 34. 20-40 46. 48. 25-80 30-08 29-51 41-50 48-00 2. 10-24 1. 1"25 59. 8-06 55. 49-83 53.40-12 40. 30-47 0-54 + 0-27 103.14. 11-91 84. 40. 16-97 102. 58. 1-61 84.25. 1-01 10-90 10-99 12 Moon's L. L. 30.58. 8-50 29-11 48-50 0. 34-04 54. 16-24 27.43-53 + 0-72 69. 2. 18-35 68. 47. 28-05 11-03 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -64 : q = 5" '65. ( a ) Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = 9" "21. GREENWICH LUNAR REDUCTIONS. (R) (122) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. 'aro- meter. 'her- mo- meter. lefrac- tion. Tabular Horizontal Squatoreal Parallax. Parallax. Interval at which Observa- tion was made >efore or after the bright Limb passed the Meridian. Cor- ection for nter- val. 3orrec- on for urva- ire of Path. Geocentric N.P.D. ILL. orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit f 1 L. or 2 L. Tabular Jbliquity of Ecliptic. 23.28'. 1783. Jan. 13 Moon's L. L. / II 27.19.27-10 In. 9-27 40-50 11 . 29-96 * // 54. 5-31 '< i n A. 37-67 3 n // + 0-90 o / // 65. 26. 40-69 O / II 65. 11.53-39 // 11-04 14 Moon's L. L. 24. 49. 21-80 9-03 47-00 . 26-25 54. 3-63 J-2. 29-72 + 1-08 62. 58. 37-48 62.43.50-64 11-06 16 Moon's U. L. . . 23. 24. 32-70 9-22 38-50 0. 25-17 54. 22-45 81. 24-06 + 1-08 61.34.52-84 61.49.44-83 11-09 17 Moon's U. L. . . 25. 8.18-40 9-46 35-50 0. 27-68 54. 40-50 23. 1-40 + 0-99 63.17. 3-77 63.32. 0-72 11-11 18 Moon's U. L. . . 28. 14. 32-60 9-24 32-00 0. 31-68 55. 2-76 25. 50-58 + 0-90 66. 20. 32-97 66. 35. 36-02 11-13 19 Moon's U. L. . . 32.31.41-40 9-44 27-50 0. 38-22 55.28-16 29. 37-20 + 0-72 70.34. 1-84 70.49.11-85 11-13 21 Moon's L. L. 44.13.21-50 29-16 33-50 0. 57-01 56. 26-44 39. 9-86 15 after -3-71 -f-0-42 82. 6. 25-22 81.50.59-23 11-17 22 Moon's L. L. 50. 36. 26-80 29-20 30-50 1. 11-84 56. 58-69 43. 50-37 + 0-09 88.25. 8-84 88. 9.34-01 11-19 23 Moon's L. L. 57. 10. 54-60 29-47 32-50 1.31-84 57. 32-77 48. 10-57 0-18 94. 55. 36-82 94. 39. 52-65 11-21 25 Moon's L. L. 69. 43. 28-40 29-40 40-00 2. 36-56 58. 44-37 54. 56-32 0-63 07. 22. 30-34 07. 6.26-54 11-25 Feb. 6 Moon's L. L. 43. 12. 11-90 29-64 47-50 ). 54-32 55. 59-33 38. 7-77 + 0-27 81. 6. 18-49 80. 50. 59-93 11-45 9 Moon's L. L. 28. 24. 19-00 28-46 46-50 0. 30-12 54. 22-88 25. 40-07 10 after + 1-38 + 0-63 66. 30. 29-45 66. 15. 37-34 11-52 10 Moon's L. L. 25. 26. 36-40 29-07 46-00 0. 27-09 54.11-63 23. 4-92 + 0-99 63. 35. 17-69 63. 20. 28-66 11-53 11 Moon's L. L. 23. 45. 48-80 29-56 47-50 0. 25-42 54. 11-21 21.38-11 + 1-08 61.55.55-17 61.41. 6-25 11-55 12 Moon's TJ. L. . . 22. 59. 53-70 29-51 44-50 0. 24-61 54. 20-73 21. 1-90 + 1-08 61.10.35-41 61.25.26-94 11-56 13 Moon's U. L. . . 24. 12. 8-20 29-36 43-50 0. 25-98 54. 38-88 22. 12-04 + 1-08 62. 21. 41-24 62. 36. 37-74 11-58 n Moon's L. L. 42. 8. 8-40 30-43 38-50 0. 54-73 66. 38-05 37. 47-55 5 after 1-2 + 0-42 80. 2.34-43 79.47. 5-26 11-66 19 Moon's L. L. . . 55. 13. 28-90 30-10 35-50 1. 26-60 57. 39-34 47. 10-17 0-09 92.59. 6-17 92. 43. 20-20 11-69 20 Moon's L. L. 61. 52. 10-40 29-88 42-5 1.49-85 58. 5-82 51. 3-41 0-36 99. 34. 18-06 99. 18. 24-83 11-70 23 Moon's L. L. . 77. 56. 14-60 29-58 39-5 4. 28-32 59. 5-14 57. 38-50 0-99 115.34.26-51 115.18. 17-01 11-75 Mar. 6 Moon's L. L. 39. 55. 33-00 28-2 43-5 0. 46-56 55. 53-85 35. 40-33 + 0-4 77. 51.59-1: 77. 36. 42-07 11-87 Moon's L. L. . 29. 54. 39-7 29-2 46-5 0. 32-97 54. 47-11 27. 6-97 + 0-8 67. 59. 25-03 67. 44. 26-28 11-88 1 Moon's TJ. L. . 22.50. 2-0 29-5 39-0 0. 24-73 54. 15-72 20.51-37 + 1-0 61. 0.54-34 61. 15.44-49 11-91 : r Moon's U. L. . Moon's tf. L. . 1 Moon's U. L. . 28. 51. 56-4 38.59. 8-9 45. 15.51-2 29-8 30-34 30-3^ 33-5 [ 32-0 I 35-5 0. 33-08 0. 49-50 1. 1-25 55. 19-42 56. 37'5( 57. 19-Oe 26. 30-13 35. 25-04 40. 30-75 + 0-9 + 0-5 + 0-2 66. 57. 18-69 76. 55. 53-2 83. 7.41-9 67. 12. 26-30 77.11.22-28 83. 23. 22-37 11-91 11-92 11-92 is 5 Moon's L. L. ( Moon's U. L. ( 52.31.58-7 52. 0. 10-0 30-2 > 40-0 1. 18-1 1. 16-6 1 : 57. 58-0^ 57.58-11 45. 48-8 r 45. 29-04 o-o 90. 18. 48-6 89. 47. 17-9 90. 2.57-55 90. 3. 9-04 11-92 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 n and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p =38. 31'. 20" -64 : q = 5" "65. (*) Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = + 17" '82. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," "Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. In Dr. Maskelyne's MS. observations the reading by " Exterior Divisions" has been altered from 9 vern. sec. to 10 vern. 8 sec.; here the unaltered reading is used. ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 0* -32. SECT. II. INVESTIGATION OF MOON'S NORTH POLAU DISTANCE. (123) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Eclijjtic. 23.28'. 1783. Mar. 20 Moon's L. L. o / 06. 1. 18-80 29-82 o 38-75 / n 2. 12-59 / a 58. 57-75 / // 53. 42-20 s II 0-54 O f II 103.41.10-63 o / // 103.25. 3-16 It 11-93 21 Moon's L. L. 71.58.36-70 29-71 36-50 3. 0-53 59. 14-60 66.10-79 0-72 109. 36. 48-26 109. 20. 36-17 11-93 22 Moon's L. L. 76. 48. 11-70 29-78 44-50 4. 4-54 59. 22-67 57. 39-97 0-90 114.25.58-35 114. 9.44-05 11-91 24 Moon's L. L. 81. 20.29-60 29-91 33-50 6.17-78 59. 16-10 58.27-80 1-08 118.59.41-88 1-18. 43. 29-38 11-91 Apr. 7 Moon's L. L. 23.32.34-10 30-21 54-00 0. 25-37 64. 12-96 21. 27-33 + 1-08 61.42.51-18 61.28. 1-78 11-79 8 Moon's L. L. 23. 32. 46-70 30-06 56-50 0.25-12 54. 14-48 21.28-12 + 1-08 61.43. 2-74 61.28.12-93 11-78 9 Moon's U. L. . . 24.29. 16-30 30-05 60-50 0. 26-04 54. 26-96 22. 22-02 4-1-08 62. 38. 39-44 62. 53. 32-68 11-77 10 Moon's U. L. . . 27. 17. 6-50 29-74 60-50 0.29-18 54. 50-45 24.56-15 + 0-90 66. 23. 58-72 65. 38. 58-39 11-76 14 Moon's U. L. . . 48. 46. 42-40 30-06 51-50 1. 6-37 57. 45-02 43. 14-17 + 0-18 86. 35. 65-08 86. 51. 42-60 11-68 16 Moon's U. L. . . 62.30. 2-20 30-25 46-50 1. 53-25 59. 16-91 52. 24-05 -0-36 100. 10. 62-68 100.27. 5-40 11-65 18 Moon's L. L. 74. 59. 13-60 30-12 51-50 3. 34-10 60. 8-32 57. 56-13 0-81 112.36.13-57 112. 19. 46-76 11-61 19 Moon's L. L. . . 78. 59. 51 30 29-82 54-00 4. 46-96 60. 12-37 58. 57-61 0-99 116.37. 2-83 116. 20. 34-91 11-60 21 Moon's U. L. . . 80. 25. 42-90 29-91 37-00 5.41-16 59. 41-79 58. 43-68 1-08 118. 4. 2-60 118.20.22-14 11-56 27 Moon's U. L. . . 50. 32. 26-00 29-95 55-00 1. 9-87 56. 24-89 43.21-69 + 0-09 88. 21. 34-75 88.37. 0-32 11-42 May 7 Moon's U. L. . . 26.11.27-90 29-92 43-50 0. 28-98 54. 22-85 23. 47-99 + 0-99 64. 19. 28-07 64.34.20-17 11-22 9 Moon's U. L. . . 34. 14. 53-70 29-78 51-50 0. 39-26 55. 19-77 30. 55-99 + 0-63 72. 15. 56-52 72.31. 4-23 11-18 10 Moon's U. L. . . 39. 40. 4TOO 29-79 56-50 0. 47-36 56. 2-89 35.34-81 + 0-45 77. 37. 13-43 77. 52. 32-96 11-16 11 Moon's U. L. . . 45. 47. 27-70 29-60 53-50 0. 58-64 56. 54-11 40. 35-07 + 0-27 83. 39. 11-56 83.54.45-13 11-15 12 Moon's U. L. . . 52. 22. 23-00 29-80 52-00 1. 14-82 57. 50-27 45. 36-64 o-oo 90. 9.21-84 90. 25. 10-80 11-12 13 Moon's U. L. . . 59. 9.54-10 29-85 59-00 1. 35-09 58.47-16 50. 17-25 0-27 96. 52. 32-99 97. 8.37-55 11-10 14 Moon's U. L. . . 65.48.33-50 29-89 56-50 2. 6-85 69. 39-65 54. 14-67 0-54 103.27.47-10 103.44. 6-05 11-08 15 Moon's U. L. . . 71.50.38-90 29-94 56-50 2.53-17 60. 22-06 57. 11-87 0-72 109. 27. 42-00 109. 44. 12-58 11-06 16 Moon's L. L. 77. 15. 8-30 29-91 58-00 4. 7-13 60. 48-92 59. 10-21 6 after 0-95 1-09 114.51.26-20 114.34.48-26 11-03 19 Moon's U. L. . . 79. 9.56-30 29-94 44-00 4. 58-71 60. 19-92 59. 6-82 8 after + 0-78 1-39 116.47. 10-77 117. 3.40-76 10-97 20 Moon's U. L. . . 75. 45. 17-00 29-94 49-00 3. 45-60 59. 40-69 57. 41-50 0-90 113.22.43-08 113.39. 2-32 10-94 21 Moon's U. L. . . 70. 52. 36-50 29-77 46-00 2. 46-61 58. 54-71 55. 29-90 0-63 108.31.15-01 108. 47. 21-64 10-92 June 5 Moon's U. L. . . 32. 42. 45-60 29-89 63-50 0. 36-29 54. 43-06 29. 22-05 80 after -14-63 + 0-07 70.45. 4-06 71. 0. 1-71 10-71 The Moon's U. L. or L. L. was usuallj- observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -64 : q = 5" '65. (R)2 (124; REDUCTION OF GREENWICH LTTNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 26'. 1783. June 6 Moon's TJ. L. . . o / 37. 45. 32-50 in. 30-04 o 65-50 ' U 0. 43-80 / // 55. 14-78 ' t 33. 37-57 // + 0-54 O 1 It 75. 43. 58-52 o / // 75.59. 4-86 If 10-70 8 Moon's TJ. L. . . 49.44. 1-40 30-07 64-50 1. 6-88 56. 44-43 43. 6-7-2 + 0-09 87.33.19-88 87. 48. 50-80 10-68 10 Moon's U. L. . . 62. 48. 41-30 29-85 60-50 1.50-04 58. 38-74 51.59-08 0-36 100. 29. 53-57 100. 45. 55-82 10-65 12 Moon's TJ. L. . . 74. 26. 23-80 29-53 55-50 3. 20-72 60. 26-05 58. 3-71 0-81 112. 3. 2-76 112.19. 34-43 10-64 23 Moon's TJ. L. . . 36. 4. 52-80 30-19 58-50 0. 42-00 55. 13-26 32. 19-05 + 0-54 74. 4.35-38 74.19.41-30 10-59 July 5 Moon's TJ. L... 47. 45. 43-60 30-13 72-50 1. 1-55 55. 53-82 41. 11-20 + 0-18 85. 36. 54-34 85.52.11-39 10-63 7 Moon's TJ. L. . . 60.27.45-10 30-06 71-50 1. 38-37 57. 26-71 49.47-81 0-27 98. 10. 56-83 98. 26. 39-34 10-63 3 Moon's TJ. L. . . 66. 39. 12-40 30-00 65-50 2. 10-06 58. 20-53 53. 23-62 0-54 104. 19. 20-34 104.35.17-61 10-64 9 Moon's U. L. . . 72. 16. 33-40 29-76 72-50 2. 50-91 59. 14-99 56. 16-61 0-72 109. 54. 29-54 110. 10.41-74 10-65 10 Moon's U. L. . . 76. 50. 18-20 29-76 73-50 3. 50-83 60. 5-54 58. 22-05 0-90 114.27. 9-06 114. 43. 35-11 10-67 12 Moon's L. L. . . 81. 6.48-00 29-95 67-50 5. 43-28 61.10-53 60. 18-33 10 after + 0-15 0-75 118.43.35-71 118.26.51-85 10-68 13 Moon's L. L. 79. 33. 32-20 29-83 61-50 4. 57-22 61. 15-52 60. 6-24 1-08 117. 9.45-32 116.53. 0-09 10-70 14 Moon's L. L. 75. 50. 40-40 29-76 62-00 3. 39-69 60. 59-52 58. 59-35 0-90 113.26.42-73 113.10. 1-89 10-71 17 Moon's U. L. . . 56.52.19-10 30-14 61-25 1. 27-49 58. 39-32 48. 55-70 0-18 94.36.11-80 94. 52. 14-22 10-74 21 Moon's TJ. L. . . 32.34.35-10 29-72 62-50 0. 35-97 55. 13-67 29. 31-84 4 0-7-2 70. 36. 58-71 70.52. 4-74 10-80 Aug. 4 Moon's U. L. 64. 48. 29-90 29-62 71-75 1. 56-50 57. 23-86 51. 45-90 0-45 102. 30. 1-91 102. 45. 43-64 11-00 8 Moon's TJ. L. . . 80. 35. 35-80 29-83 63-00 5. 27-22 60. 10-62 59. 13-73 -1-08 118. 13. 11-52 118. 29. 38-96 11-07 11 Moon's L. L. 73. 24. 53-80 29-78 54-00 3. 10-20 60. 37-71 57. 56-97 6 after + 1-27 0-58 111. 1.30-39 110.44.55-53 11-12 12 Moon's L. L. 67. 27. 48-50 29-97 52-50 2. 18-68 60. 12-21 55.26-10 -0-54 105. 6. 2-65 104. 49. 34-77 11-14 13 Moon's TJ. L. . . 60. 11. 25-50 30-08 50-50 1.41-56 59. 32-20 51. 28-20 0-27 97.53. 0-00 98. 9.16-91 11-15 14 Moon's U. L. . . 53. 12. 25-60 30-08 53-00 1.17-52 58.41-92 46. 48-44 o-oo 90. 58. 15-42 91. 14. 18-55 11-18 16 Moon's TJ. L. . . 40. 1. 12-00 30-12 59-50 0.48-17 56. 52-04 36. 21-67 + 0-45 77.56.58-41 78. 12. 31-42 11-20 17 Moon's TJ. L. . . 34. 23. 15-90 30-05 59-00 0. 39-22 56. 1-60 31.26-14 H-0'63 72. 23. 48-54 72.39. 7-72 11-22 22 Moon's L. L. 24. 0.25-00 29-77 63-50 0. 25-07 54. 8-14 21. 49-49 + 1-08 62. 10. 19'66 61.55.31-58 11-29 Sep. 4 Moon's U. L. . . 80.18.27-00 29-38 57-50 5. 16-87 59. 10-75 58. 11-81 1-08 117.56.54-27 118. 13. 5-31 11-44 5 Moon's L. L. 81. 10. 4-70 29-54 56-50 5. 48-48 59. 34' 40 58.44-17 -1-08 118.48.31-29 118.32.13-76 11-45 6 Moon's L. L. 79.24. 3-50 29-42 57-50 4. 51-35 59. 50-99 58. 41-46 1-08 117. 1.35-52 116.45.13-46 11-46 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -64 : q = 5" "65. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (125) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P. D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1183. Sep. 7 Moon's L. L. O ' /( 75. 41. 23-90 in. 29-93 o 53-50 / // 3. 42-39 / // 59. 57-57 / // 57. 57-05 It if 0-90 O ' // 113.18.31-22 O 1 II 113. 2. 7-36 // 11-47 9 Moon's L. L. 64. 5.37-10 29-47 52-00 1. 56-84 59. 33-30 53. 23-57 0-45 101.45.31-71 101. 29. 14-50 11-48 12 Moon's TI. L. . . 42.57.17-70 29-63 52-00 0. 53-34 57. 35-59 39. 2-25 + 0-36 80. 50. 28-89 81. 6.13-83 11-49 16 Moon's U. L. . . 24.34. 1-20 29-98 51-50 0. 26-55 54. 48-57 22. 35-04 + 1-08 62.43.11-84 62.58. 11-00 11-51 18 Moon's L. L. 23. 35. 18-30 29-54 56-50 0. 24-73 54. 14-71 21.30-39 -t-1'08 61.45.31-69 61. 30. 41-82 11-51 20 Moon's L. L. 27. 45. 14-10 29-64 52-50 0.30-15 54.24-47 25. 8-08 + 0-90 65. 51. 55-40 65.37. 2-85 11-50 Oct. 3 Moon's L. L. 80. 8.28-50 29-94 59-00 5. 16-81 59. 14-67 68. 14-14 1-08 117.40.53-36 117.30.41-25 11-43 4 Moon's L. L. 77. 6.40-20 29-70 58-50 4. 2-48 59.15-54 57. 37-39 10 after + 1-53 0-63 114. 44. 29-19 114.28.16-84 11-42 5 Moon's L. L. 72. 28. 47-70 29-59 55-50 2. 57-99 59. 10-56 56. 16-52 0-72 110. 6.51-03 109. 50. 40-05 11-41 7 Moon's L. L. 60. 8.57-10 29-91 54-00 1.40-10 58. 40-30 50. 42-26 -0-27 97.51. 16-08 97.35.13-39 11-39 9 Moon's L. L. 46.31. 10-20 30-08 43-50 1. 2-39 57.41-74 41. 39-74 +0-27 84.21.53-21 84. 6. 6-58 11-36 10 Moon's U. L. . . 39.35.41-60 30-14 47-50 0. 48-66 57. 4-75 36. 10-27 + 0-45 77. 31. 39-86 77. 47. 16-35 11-35 11 Moon's TJ. L. 33. 54. 51-90 30-00 46-00 0. 39-50 56. 25 74 31. 16-53 +0-63 71. 55. 34-39 72.11. 0-19 11-33 12 Moon's U. L. . . 29. 12. 50-20 29-82 43-75 0. 32-81 55. 47-50 27. 1-37 + 0-81 67. 17. 40-91 67. 32. 56-23 11-31 14 Moon's U. L. 23. 37. 56-40 30-18 50-00 0. 25-60 54. 44-35 21.44-42 41'08 61.47.56-69 62. 2.54-69 11-28 Nov. 2 Moon's L. L. 68. 25. 50-90 29-79 50-50 2.25-19 58.43-17 54. 26-59 0-54 106. 5.11-17 105.49. 7-69 10-90 3 Moon's L. L. 62. 13. 12-00 29-66 53-50 1.48-17 58. 18-78 51.24-85 0-36 99. 54. 56-57 99. 38. 59-78 10-87 4 Moon's L. L. 55. 36. 43-40 29-79 50-50 1.24-28 57. 52-21 47. 34-02 0-18 93.21.54-45 93. 6. 4-95 10-85 6 Moon's L. L. 42.32. 3-00 29-86 48-00 0. 53-40 56. 53-66 38. 15-51 40-36 80.26. 0-95 80.10.27-50 10-80 7 Moon's L. L. 36. 39. 29-50 30-00 47-50 0. 43-59 56. 22-76 33. 27-26 40-54 74.38. 5-51 74.22.40-53 10-77 12 Moon's U. L. . . 23. 31. 50-00 29-38 34-50 0. 25-67 54. 15-91 21.27-83 41-08 61.42. 6-88 61.56.57-09 10-66 13 Moon's U. L. . . 25. 13. 33-30 28-92 45-50 0. 26-72 54. 8-20 22. 52-27 40-99 63. 22. 26-85 63. 37. 14-94 10-64 14 Moon's L. L. 28. 40. 16-90 29-05 46-50 0. 31-08 54. 9-85 25.47-19 40-90 66.46.20-10 66. 31. 31-56 10-61 16 Moon's L. L. 37. 32. 38-20 29-43 55-50 0. 43-44 54. 45-23 33. 9-91 10 after -2-08 40-74 75. 31. 29-62 75. 16. 31-38 10-57 28 Moon's L. L. 75. 14. 0-90 30-21 41-00 3. 43-22 59. 59-28 57. 51-46 0-81 112.51.14-68 112.34.50-35 10-33 29 Moon's L. L. 70. 1.49-JO 30-16 47-50 2. 40-69 59. 24-97 55. 40-90 0-63 107. 40. 10-62 107. 23. 55-69 10-31 Dec. 1 Moon's L. L. 57. 23. 24-60 30-06 46-50 1.31-70 58. 5-04 48. 44-46 -0-27 95. 7.32-71 94.51.39-70 10-28 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -64: q => 5" '65. (126) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.'2&. 1783. Dec. 3 Moon's L. L. O / II 44. 20. 45-20 in. 29-97 o 43-50 / // 0. 57-63 / // 56. 48-42 / a 39. 30-36 8 // a + 0-27 / // 82. 13. 32-62 o / // 81.58. 0-61 10-24 4 Moon's L. L. 38.23.33-80 29-75 39-50 0. 46-78 56. 14-50 34. 43-47 + 0-54 76.20.56-96 76. 5. 34-23 10-22 6 Moon's L. L. 28. 52. 5T60 29-93 41-00 0. 32-68 55. 16-18 26. 29-50 8 before -1-15 + 1-16 66. 58. 19-22 66. 43. 12-50 10-19 9 Moon's U. L. . . 23. 22. 58-00 30-11 38-00 0. 25-93 54. 15-49 21. 19-96 + 1-08 61.33.23-00 61.48.13-09 10-16 11 Moon's L. L. 27.38.56-10 30-24 34-50 0.31-78 54. 0-55 24.51-81 + 0-90 65. 45. 55-29 65.31. 9-30 10-13 12 Moon's L. L. 31.18. 4-60 30-31 33-50 0. 37-05 54. 3-73 27. 53-28 + 0-72 69.22. 7-74 69. 7. '20-88 10-12 18 Moon's L. L. 65. 18. 56-00 30-17 26-50 2. 13-28 57. 37-99 52.11-93 0-54 103. 0. 18-72 102.44.33-12 10-08 27 Moon's L. L. 66. 12. 13-00 29-27 29-50 2. 13-84 60. 3-27 54. 46-53 0-54 103.51. 1-76 103. 34. 36-33 10-06 29 Moon's L. L. 52. 42. 44-50 29-66 28-00 1. 19-10 58. 19-24 46. 12-31 40 after +10-83 o-oo 90.29.22-81 90.13.25-89 10-06 30 1784. Jan. 3 Moon's L. L. . . Moon's L. L. 46. 5.12-60 26.31.24-10 29-67 29-71 20-50 39-00 1. 3-64 0. 29-47 57. 26-45 54. 51-81 41. 10-71 24. 17-83 + 0-27 + 0-99 83. 56. 25-84 64. 38. 54-95 83. 40. 43-40 64. 23. 54-91 10-06 10-08 5 Moon's U. L. . . 23. 16. 5-60 30-16 29-00 0. 26-33 54. 13-25 21. 13-12 + 1-08 61.26.37-83 61. 41.27-31 10-09 6 Moon's U. L. . . 24. 3.46-20 30-05 25-00 0. 27-47 54. 2-56 21.50-12 + 1-08 62. 13. 42-64 62.28.29-19 10-11 10 Moon's L. L. . . 39.26. 9-90 30-24 29-00 0. 50-46 54. 16-46 34. 16-78 + 0-45 77.24. 3-44 77. 9.13-08 10-13 25 Moon's L. L. 55. 38. 32-00 29-81 31-50 1.27-85 59. 43-70 49. 6-76 0-18 93.22. 13-88 93. 5.53-82 10-32 28 Moon's L. L. 36. 6.38-00 29-67 27-50 0. 44-06 56. 49-09 33. 16-66 + 0-54 74. 5.25-03 73. 49. 52-83 10-36 29 Moon's L. L. 31. 8.58-30 29-94 24-50 0. 37-08 55. 58-68 28. 44-96 + 0-72 69. 12. 9-77 68.56.51-39 10-36 31 Moon's L. L. 24. 48. 13-50 30'35 31-00 0. 28-35 54.44-13 22.45-61 + 1-08 62. 57. 15-36 62. 42. 17-42 10-41 Feb. 1 Moon's U. L. . . 23. 12. 13-30 30-08 29-50 0. 26-15 54. 20-61 21.12-62 4-1-08 61.22.45-84 Cl. 37. 37-33 10-43 2 Moon's U. L. . . 23. 33. 43-20 30-04 27-50 0. 26-68 54. 5-54 21.25-37 -f-1-08 61. 44. 3-55 61.58.50-92 10-44 3 Moon's U. L. . . 25. 19. 0-90 30-41 28'50 0. 29-23 53. 58-09 22. 52-68 + 0-99 63. 27. 56-56 63.42.41-88 10-46 4 Moon's U. L. . . 28. 19. 27-00 29-99 34-00 0. 32-46 53. 57-53 25. 24-03 + 0-90 66. 25. 56-74 66. 40. 41-91 10-48 6 Moon's L. L. 37.46. 3-40 28 '86 28-00 0. 45-46 54. 13-80 33. 0-96 + 0-54 75.45. 7-69 75. 30. 18-06 10-51 8 Moon's L. L. . . 49. 8.31-30 29-27 26-50 1. 8-97 54. 50-42 41. 17-34 + 0-18 86. 59. 43-45 86.44.43-79 10-54 10 Moon's L. L. 61.16.28-20 29-40 29-50 1. 48-39 55. 47-93 48. 45-63 0-36 99. 0.52-13 98. 45. 36-69 10-57 23 Moon's L. L. 45. 6.45-50 29-84 48-50 0. 58-33 59. 0-87 41.36-18 + 0-27 82. 57. 27-87 82. 41. 19-55 10-75 Mar. 2 Moon's U. L. . . 27. 5.56-40 29-93 33-50 0. 30-79 54. 2-04 24. 24-79 + 0-90 65.13.21-57 65.28. 7-97 10-83 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31 '.20" -64 : q = 5" '65. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (127) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1784. Mar. 4 Moon's U. L. . . o / // 35. 26. 49-30 in. 29-57 42-50 / /; 0. 41-52 / // 54. 15-55 / // 31. 16-02 II it -t-0-54 / 73. 27. 34-37 o / // 73. 42. 24-48 It 10-85 5 Moon's U. L. . . 40. 46. 40-00 29-24 48-50 0.49-12 54. 32-07 35. 25-15 + 0-45 78. 43. 23-95 78. 58. 18-59 10-86 6 Moon's U. L. . . 46. 36. 27-60 29-04 48-50 0. 59-80 54. 53-30 39. 41-44 +0-27 84.29. 6-33 84.44. 6-78 10-86 8 Moon's L. L. 59. 22. 23-80 29-27 40-00 1.37-76 55. 46-34 47. 49-03 0-27 97. 7.33-60 96. 52. 18-60 10-88 10 Moon's L. L. 70. 49. 26-30 29-63 29-50 2.51-20 56. 48-32 53. 30-05 0-63 108.30. 9-25 108. 14. 37-27 10-89 11 Moon's L. L. 75. 29. 18-90 29-91 31-50 3. 49-57 57. 21-95 55. 23-65 5 after 0-81 0-95 113. 9. 5-92 112.53.24-72 10-88 13 Moon's L. L. 80. 49. 36-40 29-81 30-50 5. 59-09 58. 32-23 57. 39-55 -1-08 118.29.18-19 118. 13. 17-71 10-89 27 Moon's L. L. 23. 40. 25-80 29-62 33-00 0. 26-14 54. 56-60 21.51-53 + 1-08 61. 50. 19-46 61.35. 18-10 10-83 31 Moon's U. L. . . 33. 36. 56-30 29-85 30-50 0. 40-1-J 54. 14-97 29. 49-95 +0-63 71.39. 5-98 71. 53. 55-93 10-80 Apr. 3 Moon's U. L. . . 50. 20. 53-00 29' 73 38-00 1.11-34 55. 20-74 42. 25-28 35 after 8-63 + 0-02 88. 10. 50-91 88. 25. 58-89 10-76 6 Moon's L. L. 68. 57. 45-90 29-86 34-50 2.34-61 57. 0-05 53. 2-64 0-54 106. 38. 39'59 106.23. 4-39 10-70 8 Moon's L. L. . . 77. 55. 58-30 29-84 32-50 4. 34-70 58. 0-57 56. 30-79 6 after 0-75 -1-20 115.35.23-34 115.19.31-55 10-68 12 Moon's U. L. . . 75. 42. 23-60 29-13 36-00 3.44-84 59. 17-10 57. 18-21 0-90 113.20.12-21 113.36.24-98 10-60 25 Moon's U. L. . . 25. 10.49-20 29-82 51-50 0.27-16 54.31 39 22. 69-71 + 0-99 63. 19. 35-74 63. 34. 30-19 10-34 29 Moon's U. L. . . 42. 3. 8-00 29-86 47-50 0. 52-56 54. 39-27 36.24-61 + 0-36 79. 58. 55-97 80. 13. 52-58 10-24 30 Moon's U. L. . . 47. 52. 43-10 29-85 46-50 1. 4-52 55. 6-97 40.41-24 + 0-18 85. 44. 26-78 85. 59. 30-98 10-21 May 1 Moon's U. L. . . 53. 58. 31-90 29-88 40-50 1.21-25 55.41-73 44.51-44 -0-09 91. 46. 22-43 92. 1.36-17 10-19 2 Moon's U. L. . . 60. 8.KMO 30-02 46-50 1.41-98 56. 22-04 48. 42-25 12 after 2-93 -0-17 97.52.34-14 98. 7.58-92 10-17 3 Moon's U. L. . . 66. 5. 46-80 30-24 46-50 2. 12-75 57. 4-23 52. 0-42 0-54 103. 47. 20-58 104. 2.56-93 10-15 5 Moon's L. L. 76. 30. 46-80 30-23 49-50 4. 0-36 58. 22-54 56. 37-44 0-90 114. 9.31-77 113. 53. 33-96 10-10 6 Moon's L. L. 79. 33.11-50 30-13 52-00 5. 6-11 58. 52-64 57. 46-02 1-08 117.11.53-73 116. 55. 47-66 10-08 7 Moon's L. L. 80.46. 6-70 29-90 51-50 5. 42-05 59. 13-80 58. 19-87 1-08 118.24.51-13 118. 8.39-26 10-05 9 Moon's U. L. . . 76. 39. 40-00 29-94 54-50 3. 58-20 59. 28-44 57. 43-46 0-90 114.17.16-80 114. 33. 32-68 10-00 12 Moon's U. L. . . 60.15. 3-50 30-21 50-00 1.42-35 58. 58-21 51. 0-69 0-27 97.57. 6-31 98. 13. 13-90 9-93 23 Moon's U. L. 26. 57. 24-40 29-83 77-50 0. 27-90 54. 23-88 24. 27-40 + 0-90 65. 4.44-06 65. 19. 36-45 9-69 24 Moon's U. L. . . 30. 29. 33-3( 29-85 70-50 0. 32-77 54. 12-76 27.18-42 30 after 4-76 + 0-19 68.34. 1-66 68.48.51-00 9-66 25 Moon's U. L. . . 34.55. 0-60 20-80 73-50 0. 38-55 54.11-44 30.49-01 + 0-63 72.56. 9-75 73. 10. 58-72 9-65 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding; to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" '64: q = 5" "65. (128) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equate real Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Er.liptic. 23. 28'. 1784. May 28 Moon's U. L. . . O f It 51. 30. 36-40 in. 29-98 58-00 / // 1. 11-95 / // 55.11-15 / // 43. 0-33 U // o-oo o / // 89.20. 8-59 O / /; 89. 35. 13-93 If 9-59 June 1 Moon's U. L. . . 74. 6.32-10 30-05 53-00 3. 20-95 58.18-55 55. 55-70 0-81 111.45.19-27 112. 1.16-00 9-52 i Moon's L. L. 78.22.24-00 30-16 52-50 4. 35-95 69. 4-60 57. 43-58 0-99 116. 0.38-50 115.44.29-15 9-50 S Moon's L. L. 80. 25. 27-40 30-12 51-50 5. 32-86 59.41-59 58. 43-66 1-08 118. 3.38-80 117.47.19-32 9-48 4 Moon's L. L. 80. 25. 28-90 30-03 56-50 5. 28-40 60. 5-70 59. 7-37 1-08 118. 3.12-15 117.46.46-06 9-47 r Moon's TT. L. . . 68. 20. 20-00 30-01 53-00 2. 24-85 59. 52-90 55. 28-88 0-54 105. 58. 37-63 106. 15. 0-22 9-42 July 2 Moon's L. L. ( a ) Moon's U. L. (") 79. 32. 31-90 78. 59. 14-60 30-11 54-50 5. 3-96 4. 49-20 60. 44-32 60. 44-35 59. 35-45 59. 28-56 1-04 1-04 117. 9.22-59 116. 35. 53-66 116.52.45-91 116. 52. 30-35 9-30 4 Moon's U. L. . . 70. 38. 42-30 29-98 57-50 2.41-76 60. 53-68 57. 17-06 0-63 108. 15. 28-78 108. 32. 8-02 9-30 5 Moon's U. L. . . 64. 24. 46-20 30-01 60-50 1. 58-60 60. 31-68 54. 24-53 0-45 102. 3.41-64 102. 20. 14-85 9-30 6 Moon's U. L. . . 57. 33. 29-00 29-87 60-00 1.29-22 59. 55-72 50. 22-82 -0-27 95. 15. 56-29 95. 32. 19-65 9-31 10 Moon's U. L. . . 32. 17. 31-00 30-12 58-50 0. 36-34 56.51-07 30. 9-63 + 0-72 70. 19. 17-17 70. 34. 49-91 9-33 27 Moon's U. L. . . 79. 8.32-30 29-71 58-50 4. 23-33 58.22-15 56. 58-91 0-99 115.47. 18 83 116. 3. 16-54 9-50 31 Moon's L. L. 73. 58. 43-50 30-13 56-50 3. 18-37 61. 19-06 58. 46-77 0-81 111.34.37-01 111.17.50-81 9-55 Aug. 2 Moon's U. L. . . 60. 44. 43-50 30-20 54-50 1. 43-42 61. 2-56 53. 3-88 0-27 98. 24. 44-24 98.41.25-92 9-58 3 Moon's U. L. . . 53. 30. 22-60 29-96 61-50 1.16-72 60. 25-88 48. 22-66 0-09 91. 14.37-33 91.31. 8-96 9-60 6 Moon's U. L.v . 33. 53. 15-80 29-64 55-50 0. 38-24 57. 43-73 31.58-41 + 0-63 71.53.15-14 72. 9. 2-31 9-64 7 Moon's ILL. .. 29. 10. 18-10 29-99 48-00 0. 32-66 56. 50-04 27. 29-47 + 0-81 67. 14. 40-55 67. 30. 13-01 9-65 29 Moon's L. L. 65. 2. 7-30 29-71 53-50 2. 2-46 61. 19-28 55. 24-69 0-45 102.40. 6-50 102. 23. 20-24 9-92 31 Moon's U. L. . . 49. 53. 59-90 29-63 55-50 1. 7-51 60.40-14 16. 11-78 + 0-09 87.40.16-13 87.56.51-66 9-94 Sep. 2 Moon's TJ. L. . . 36. 19. 10-30 30-18 53-50 0. 42-78 58. 58-76 34. 42-91 15 after + 3-50 + 0-84 74. 16. 33-62 74.32.41-37 9-95 3 Moon's TJ. L. . . 30. 56. 15-00 30-24 54-50 0. 34-89 57. 58-82 29. 35-54 + 0-81 68. 58. 33-77 69. 14. 25-08 9-96 4 Moon's U. L. . . 26. 53. 18-90 30-08 54-00 0. 29-39 57. 0-27 25.34-11 + 0-99 64. 59. 33-42 65. 15. 8-68 9-97 5 Moon's U. L. . . 24. 21. 31-10 30-12 57-50 0. 26-09 56. 7-23 2-2. 56-30 + 1-08 62. 30. 20-00 62. 45. 40-73 9-97 6 Moon's U. L. . . 23.25. 0-20 30-18 56-50 0.25-06 55. 22 62 21.48-14 + 1-08 61.34.56-15 61.50. 4-64 9-99 7 Moon's L. L. 24. 31. 56-90 30-27 58-50 0. 26-39 54. 47-53 22. 32-87 -I-1-08 62.41. 9-55 62. 26. 10-68 9-99 10 Moon's U. L. . . 75. 51. 51-30 29-46 66-50 3. 35-80 56. 30-50 54. 39-20 0-90 113.32. 13-54 113.47.40-64 9-99 26 Moon's L. L. . . 61. 33. 51-10 29-45 55-50 1.44-08 60. 45-71 53. 14-64 0-36 99. 13. 45-20 98,57. 8-14 9-95 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. I), is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 20" -64 : q = 5" -65. From 1784, Sep. 19, 90 - p = 38. 31'. 23" "99 : q = 6" -39.' (*) Observed at Transit of 1 L, ( b ) Observed at Transit of 2 L. ; a little scabrous. Correction applied for defective illumination, 3"-71. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (129) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Kquatoreal Parallax. Parallax. Interval at which Observa- tion was inaiU' teforc or after the bright Limb passed i In- MtriUian. Cor- i rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L. orL. L., at Transit Of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 3.2B'. 1784. Sep. 28 Moon's L. L. ( a ) Moon's U. L. (") o / // 47. 2. 4-40 46.28.26-10 in. 29-73 o 51-00 / // 1. 1-82 1. 0-62 / // 60. 24-5S 60. 24-55 / ll 43. 59-65 43. 35-17 if t + 0-27 + 0-27 o / 84. 60. 30-95 84.17.15-17 O 1 II 84. 33. 59-6S 84. 33. 46-43 It 9-93 29 Moon's U. L. . . 39. 34. 10-70 29-93 45-50 0. 48-47 59. 49-04 37. 53-16 + 0-45 77. 28. 29-06 77. 44. 50-58 9-92 30 Moon's U. L. . . 33. 31. 10-20 30-OG 41-00 0. 39-40 59. 0-9(5 32. 22-28 -r-0-63 71.30.49-91 71.46.58-26 9-91 Oct. 1 Moon's U. L. . . 28. 41. 51-80 30-30 41-00 0. 32-83 58. 5-79 27. 40-89 + 0-90 66.46. 6-11 67. 1.59-33 9-89 3 Moon's U. L. . . 23.44.21-80 30-19 46-50 0. 25-98 56. 15-75 22. 26-49 + 1-08 61. 53. 43-35 62. 9. 6-41 9-87 4 Moon's U. L. . . 2S..44. 42-20 29-79 44-50 0. 25-75 55. 29-42 .'2. 8-30 + 1-08 61.54.21-71 62. 9.32-08 9-86 5 Moon's L. L. 25. 46. 17-60 30-03 46-50 0. 28-37 54.52-48 23. 39-35 + 0-99 63. 54. 28-79 63. 39. 28-56 9-85 7 Moon's L. L. 32. 25. 24-40 29-83 46-50 0. 37-07 54. 10-79 28. 50-98 -f-0-72 70. 28. 33-06 70.13.44-26 9-82 8 Moon's L. L. . . 37. 4.33-10 29-87 48-50 0. 43-97 54. 5-67 J2. 24'86 + 0-54 75. 4. 18-39 74. 49. 30-99 9-81 22 Moon's L. L. 70. 15. 10-60 29-93 48-50 2. 41-05 59.26-14 55. 46-73 0-63 107. 63. 30-24 107. 37. 14-99 9-55 26 Moon's L. L. 43. 24. 56-40 30-00 37-00 0. 56-61 59. 40-52 40.48-10 + 0-27 81. 16. 28-20 81. 0. 9-00 9-45 21 Moon's L. L. 37. 0. 22-20 30-01 39-50 0. 44-89 59. 14-15 35. 26-26 + 0-54 74.57. 3-70 74. 40. 51-74 9-43 28 Moon's U. L. . . 31. 1. 12-00 30-03 41-50 0. 35-70 58. 36-79 29. 59-28 +0-72 69. 3. 10-85 69. 19. 12-57 9-40 Nov. 7 Moon's L. L. 51.35.56-50 30-00 32-50 1. 16-14 54. 34-73 42. 35-30 o-oo 89.26. 1-27 89. 11. 5-90 9-13 17 Moon's L. L. . . 76. 7.34-10 29-70 44-50 3. 51-97 58. 57-53 57. 5-66 0-90 1 13. 45. 46-08 113. 29. 38-68 8-89 20 Moon's L. L. 59. 29. 37*40 30-02 34-50 1.41-91 59. 14 48 50.50-61 0-27 97. 11.53-22 96.55.41-17 8-81 21 Moon's L. L. 52. 41. 42-00 30-20 31-50 1. 19-89 59. 10-33 46. 52-12 o-oo 90.27.33-81 90.11.22-89 8-79 24 Moon's L. L. . . 33. 44. 50-80 29-87 46-00 0. 39-08 58. 20-66 32.11-85 + 0-63 71. 44. 40-65 71.28.43-35 8-72 27 Moon's U. L. . . 24. 0.21-00 30-22 41-50 0. 26-61 56. 36-98 22. 49-40 -r-1'08 62. 9.20-30 62.24.49-18 8-65 29 Moon's U. L. . . 26. 1. 16-50 30-11 36-50 0. 29-37 55. 22-29 24. 5-16 + 0-99 64. 9. 2-90 64.24. 11-30 8-61 Dec. 3 Moon's L. L. 43.47. 8-50 29-47 37-50 0. 56-27 54.11-31 37. 18-23 + 0-2" 81.42. 9-88 81. 27. 20-94 8-52 4 Moon's L. L. 49. 23. 29-00 29-20 36-50 1. 7-96 54. 19-24 41. 3-12 + 0-09 87. 14. 57-61 87. 0. 6-49 8-50 5 Moon's L. L. 55. 9. 18-50 28-57 38-00 1.21-56 54. 38-17 44. 39-62 0-09 92. 57. 24-67 92. 42. 28-37 8-48 6 Moon's L. L. 60. 54. 1-00 28-68 33-50 1.43-25 55. 7'29 47. 59-5! -0-2 1 - 98. 39. 9-34 98.24. 5-05 8-46 19 Moon's L. L. 47.41.46-00 29-69 33-50 1. 5-52 58. 51-44 43. 19-53 + 0-18 85. 30. 55-66 85. 14. 49-92 8-32 20 Moon's L. L. 41. 12.51-00 29-88 29-50 0. 53-03 58. 25-75 38. 17-25 + 0-30 79. 6.49-92 78.50.51-22 8-32 21 Moon's L. L. 35. 22. 50-30 29-72 30-50 0. 42-69 57. 58-14 33.21-11 + 0-54 73.21.34-58 73. 5.43-46 8-31 Tlie Moon's U. L. or L. ... \vas usually observed when the bright 1 L. or 2 L. was passing; tbc Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. Tlie N. P. 1). is formed by adding Olufscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 p = 38. 31'. 23" '99: q = 6" '39. (*) Observed at Transit of 1 L. Correction applied for defective illumination, + 0*'69. (*) Observed at Transit of 2 L. GREENWICH LUNAR REDUCTIONS. (S) (130) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Eqnatoreal Parallax. Parallax. Interval at wbicb Observa- tion was made before or after the bright Limli passed the Mrriiliiiii. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U.I,, or L.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1784. o / // in. o , , i, , a o / a o / // Dec. 22 Moon's L. L. . . 30.31. 7-20 29-67 30-00 0. 35-42 57. 29-24 28. 58-85 + 0-81 68.31. 6-23 08.18.23-03 8-31 1785. Jan. 6 Moon's L. L. 77. 35. 45-80 29-81 25-50 4.31-19 57. 25-35 55. 56-77 0-99 115.15.45-95 115. 0. 3-81 8-32 22 Moon's U. L. . . 24. 31. 54-00 30-15 41-50 0. 27-21 55. 20-61 22. 46-38 + 1-08 62. 40. 56-97 62.56. 4-91 8-46 23 Moon's U. L. . . 26.41. 4-20 30-15 40-50 0. 30-02 54.55-12 24.27-51 -I-0-99 64. 48. 28-97 65. 3.29-92 8-47 31 Moon's L. L. 67.30. 1-30 29-95 29-50 2. 25-70 54. 54-75 50. 34-64 0-54 105. 13. 17-49 104. 58. 16-64 8-57 Feb. 1 Moon's L. L. 72.15. 5-40 30-09 28-00 3. 9-21 55. 32-08 52. 44-77 0-72 109. 56. 55-29 109.41.44-20 8-58 12 Moon's L. L. 45.49.38-10 30-51 34-50 I. 2-95 60. 24-91 43. 7-21 +0-27 83. 38. 57-39 83. '22. 26'03 8-73 13 Moon's L. L. 39. 8. 8-80 30-46 34-50 0. 49-70 59. 37-28 37. 24-90 + 0-45 77. 2.56-61 76. 46. 38-30 8-74 16 Moon's L. L. 25. 50. 12-40 29-80 36-50 0. 28-83 56. 55-60 24. 35-93 +0-99 63. 57. 27-47 03.41.53-48 8-78 17 Moon's L. L. . . 24. 25. 42-40 29-27 27-50 0. 27-07 56. 9-15 23. 0-90 + 1-08 62. 34. 30-70 62. 19. 9-45 8-80 18 Moon's U. L. . . 24. 7.35-10 29-26 22-50 0. 26-97 55. 29-84 22. 28-73 + 1-08 62. 16. 55-44 62.32. 5-90 8-81 19 Moon's U. L. .. 25. 50. 19-30 29-12 22-00 0. 29-05 54. 57-99 23.45-14 +0-99 63. 58. 25-39 64. 13.27-13 8-82 20 Moon's U. L. . . 28. 49. 45-80 29-03 22-00 0. 32-92 54.33-21 26. 6-18 + 0-90 66. 65. 34 93 67. 10. 29-87 8-83 21 Moon's U, L. . . 32. 50. 21-60 28-87 31-50 0. 37-61 54.15-13 29. 13-12 + 0-72 70.53. 8-71 71. 7.58-70 8-84 22 Moon's U. L. . . 37. 36. 31-80 29-02 26-50 0. 45-60 54. 3-18 32. 47-28 +0-54 75. 35. 53-06 75. 50. 39-77 8-84 23 Moon's L. L. () Moon's U. L. (") 43. 23. 52-90 42. 64. 16-20 29-65 27-00 0. 57-1 1 0. 56-13 53. 57-05 53. 57-02 36. 52-54 36. 3-2-03 + 0-32 + 0-32 81. 19.20-82 80.50. 3-44 81. 4.35-78 81. 4.48-47 8-86 24 Moon's L. L. . . 49. 0. 3-50 29-81 31-50 I. 9-16 53. 56-28 40.31-36 + 0-18 86.52. 5-12 80. 37. 20-30 8-86 23 Moon's L. L. . . 70. 38. 22-60 30-07 18-50 2.56-15 54. 55-05 51.39-89 0-63 108.21. 4-23 108. 6. 3-30 8-S9 Mar. 14 Moon's L.'L. . . 30. 44. 49-20 29-91 37-50 0. 35-47 59. 936 30. 1-50 + 0-81 68. 46. 48-74 68. 30. 38-09 8-93 19 Moon's U. L. . . 27. 49. 28-90 30-11 43-50 0.31-29 54. 53-63 25.25-11 + 0-90 65.56. 0-41 66. 11. 0-95 8-91 22 Moon's U. L. . . 41. 8.33-70 30-09 27-50 0. 53-50 53. 59-09 35. 19-38 + 0-36 79. 5.34-17 79. 20. 19-77 8-89 23 Moon's U. L. . . 46. 37. 41-50 30-19 27-50 1. 5-00 53. 56-76 39. 1-41 + 0-27 84.31. 12-02 84. 45. 56-98 8-88 24 Moon's U. L. 52. 18. 8-10 29-89 35-00 I. 17-38 54. 0-91 42. 33-33 0-00 90. 8.19-51 90.23. 5-60 8-87 27 Moon's L. L. . . 69. 3.23-50 29-68 25-00 2. 37'61 54.45-81 50. 59-67 0-54 106. 40.30-30 106.31.31-90 8-84 28 Moon's L. L. . . 73. 29. 42-50 29-65 27-50 3.21-26 55. 10-73 52. 45-83 0-81 111.11.47-04 110.56.41-82 8-83 29 Moon'* L. L. 77. 0.32-00 29-72 25-00 4. 18-53 55. 40-83 54. 7-33 0-90 114.42.12-62 114.20.69-13 8-82 31 Moon's L. L. 80. 8.10-20 29-29 30-00 5. 29-64 56. 56-78 -35. 58-59 1-08 117.49.10-84 1 17. 33. 36-54 8-79. The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 9

a*sed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of 1'ath. Geocentric N.P.D. ofU.L.orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Dbliquit' of Ecliptic. 23. 28'. 1785. Apr. 2 Moon's U. L. . . o / 76.14. 7-70 29-70 26-00 / a 4. 3-31 / it 58. 30-02 ' f 56. 40-43 * // 0-90 O ' // 113.52.59-91 o / w 114. 8.59-78 8-76 5 Moon's U. L. . . CO. 3. 3G-20 30"22 37-50 1.44-27 60. 36-02 52. 19-27 0-27 97. 44. 29-23 93. 1. 3-63 8-71 14 Moon's U. L. . . 24. 45. 30-30 30-08 58-00 0. 26-52 56. 28-26 23. 26-39 + 1-08 62. 53. 55-60 63. 9.22-09 8-55 15 Moon's U. L. . . 26. 54. 28-00 30-17 57-50 0. 29-30 55. 39-70 24. 58-99 -fO-90 65. 1.23-54 65. 16. 36-74 8-52 16 Moon's U. L. . . 30. 16.32-00 30-08 57-50 0. 33-60 55. 0-36 27. 31-63 + 0-81 68. 20. 59-49 68. 36. 1-87 8-51 11 Moon's U. L. . . 34. 32. 51-90 29-83 52-50 0. 39-69 54.31-14 30. 42-92 + 0-63 72. 34. 14-50 72.49. 8-88 8-48 19 Moon's U. L. . . 44. 48. 46-00 29-90 48-50 0. 57-95 54. 3-69 37. 54-52 + 0-27 82. 43. 16-14 82.58. 2-99 8-44 21 Moon's U. L. . . 56. 3. 55-90 29-93 52-50 1.25-78 54. 12-63 44.47-86 0-18 93.52. 1-46 94. 6.50-77 8-38 25 Moon's L. L. 75. 53. 26-90 30-34 42-00 3. 54-26 55. 41 ()> 53. 52-07 0-90 113.34.58-38 113. 19.44-83 8-28 26 Moon's L. L. 78. 34. 56-30 30-37 41-50 4. 49-52 56. 11-26 54. 56-72 20 after 1-56 1-7B 116.16.16-28 116. 0.54-45 8-26 27 Moon's L. L. 79. 51. 24-20 30-43 33-50 5. 30-90 56. 43-20 55. 42-35 -1-08 117.32.42-37 117.17.11-79 8-23 30 Moon's U. L. . . 73.21.57-90 30-10 44-50 3. 15-47 58. 25-29 55. 49-33 0-81 111. 0.53-13 111.16.51-70 8-15 May 3 Moon's U. L. 55. 47. 18-50 29-94 53-50 1.24-75 59. 53-65 49. 19-92 0-18 93. 30. 50-93 93. 47. 13-72 8-07 13 Moon's U. L. . . 28. 58. 38-80 30-45 63-50 0.31-88 55. 44-75 26. 47-97 + 0-81 67. 3.48-08 67. 19. 2-64 7-82 15 Moon's U. L. . . Al. 43. 39-80 29-98 63-50 0. 43-83 54. 37-13 33. 13-26 +0-54 75.42.36-50 75. 67. 32-52 7-77 18 Moon's U. L. . . 54. 5. 15-50 29-74 51-50 1. 19-38 54. 13-87 43. 44-40 0-09 91. 54. 17-97 92. 9. 7-61 7-69 20 Moon's U. L. . . 65. 0.18-10 29-72 47-50 2. 3-84 54. 46-85 49. 29-15 0-45 102.44.21-25 102. 59. 19-93 7-63 21 Moon's U. L. 69.54. 4-80 29-87 48-00 2. 37-90 55. 13-74 51.42-66 0-63 107. 36. 28-91 107. 51. 34-96 7-61 22 Moon's U. L. . . 74. 4.33-10 30-07 50-50 3.21-69 55. 45-07 53. 27-95 0-81 111. 45. 56-01 112. 1.10-66 7-59 23 Moon's L. L. 77. 43. 32-30 30-07 51-00 4.21-69 56. 19-09 54. 53-83 0-99 115.24.29-57 115. 9. 6-60 7-57 25 Moon's L. L. 79. 40. 22-30 30-09 52-50 5. 8-76 57.26-19 56. 22-52 -1-08 117.20.38-08 117. 4.55-72 7-53 29 Moon's U. L. . . 64. 7. 1-40 29-66 46-00 1. 59-17 59. 2-46 52. 56-37 0-45 101. 47. 32-55 102. 3.41-31 7-43 June 10 Moon's U. L. . . 31.19. 7-10 30-30 70-50 0. 34-37 55. 35-94 28. 41-59 + 0-72 69. 22. 25-43 69. 37. 37-58 7-24 11 Moon's U. L. . . 35.51.26-90 30-22 75-50 0. 40-32 55. 2-40 32. 2-22 + 0-54 73.51.30-90 74. 6.33-85 7-23 12 Moon's U. L. . . 40. 58. 20-40 30-23 70-50 0. 48-92 54. 36-51 35.37-17 + 0-45 78. 54. 58-57 79. 9.54-42 7-21 13 Moon's U. L. . . 46. 25. 30-40 30-25 66-50 0. 59-69 54.20-15 39. 10-31 + 0-27 84. 18. 46-68 84. 33. 38-05 7-21 14 Moon's U. L. . . 52. 1. 29-40 30-04 64-50 1. 12-49 54. 14-25 42.34-11 o-oo 89.51.35-10 90. 6.24-85 7-19 The Moon's U. L. or L. L. was usually observed when tlic bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1*. D. of Limb and of Center in the Tables above arc those corresponding; to the time of passage of the limb which was observed with the Transit The N. P. D. is formi'd bv adding Olnfscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 27" ; 34 : q = 7" '13. (S)2 (132) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after tin bright Limb iiasst'd the Meridian. Cor- rection for Inter- val. Correc- tion lor (Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Tiansit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. ns5. June 15 Moon's U. L. . . O 1 II 57. 3d. 40-70 29-75 o 70-50 / // 1. 27-20 / // 54. 19-15 / // 45.41-53 // -0"27 o / // 95.24. 0-11 o / /; 95.38.51-21 II 7-18 17 Moon's U. L. . . 68. 4.48-20 30-10 55-50 2. 22-69 55. 0-07 50. 51-99 0-54 105.47.47-01 106. 2.49-94 7-16 19 Moon's U. L. . . 76. 0.54-20 30-31 54-50 3.51-67 56. 1-2-39 54. 25-34 0-90 113.47.4985 114. 3.11-99 7-13 20 Moon's U. L. . . 78.28. 7-10 30-31 57-50 4. 36-65 56. 54-28 55. 37-14 10 after 0-63 0-69 110. 8.35-77 116.24. 9-39 7-13 2J Moon's L. L. (") Moon's U. L. (") 79.48.21-30 79. 10. 58-80 30-32 50-50 5. 16-34 5. 1-53 57. 36-23 57. 30-23 50. 33-84 50. 27-77 1-08 117.28.33-35 110.57. 034 117. 12. 48"23 117. 1-2.45-40 7-13 22 Moon's L. L. 78. 52. 34-50 30-31 51-50 4. 50-15 58. 14-03 57. 0-89 0-99 116.31.53-30 116.15.57-66 7-12 23 Moon's IT. L. . . 75. 38. 52-30 30-33 49-50 3. 46-57 58. 40-48 50. 47-46 0-90 113. 17.20-67 113.33.25-06 7-12 24 Moon's U. L. . . 71.22.38-20 30-27 49-50 2. 62-94 59. 9-97 55. 54-39 0-72 109. 1. 5-69 109. 17. 16-51 7-11 25 Moon's U. L. . . 05. 52. 55-50 30-25 48-00 2. 11-07 59.24-17 54. 2-49 0-54 103. 32. 32-55 103. 48. 47-26 7-10 26 Moon's U. L. . . 59.34. 1-40 30-10 49-50 1. 39-5-2 59. 29-28 51. 6-1-2 0-27 97. 16. 2-77 97. 32. 18-88 7-10 28 Moon's U. L. . . 46. 4. 45-30 2985 58-00 0.59-19 59. 1 7-29 4-2. 29-00 + 0-27 83.54.41-08 84. 10. 54-50 7-09 29 Moon's U. L. . . 39. 39. 22-00 29-82 58-50 0.47-18 59. 3-07 37.28-15 + 0-45 77.34. 7"28 77. 50. 10-20 7-09 30 Moon's U. L. 33. 56. 17-60 29-81 61-50 0. 38-07 58.44-34 32. 34-50 + 0-63 71.55.40-87 7-2. 11.50-60 7-09 July 11 Moon's U.L. .. 49.53.23-10 29-93 70-50 1. 0-15 54. 14-2-2 41. 17-52 + 0-09 87. 44. 36-35 87. 59. 20-09 7-11 12 Moon's U. L. . . 55. 30. 23-40 29-74 71-50 1.20-35 54. 10-79 44. 28-43 0-18 93. 18.42-89 93. 33. 31 09 7-12 13 Moon's U. L. . . 60. 59. 2-80 29-05 08-50 I. 39 69 54. 17-02 47. 18-44 -0-27 98. 44. 52-20 98. 59. 42-87 7-12 14 Moon's U. L. . . 66. 9.27-10 29-08 07-50 2. 5-21 54. 35 25 49. 40-02 0-54 103.53.14-80 104. 8. 10-30 7-13 n Moon's U. L. . . 77. 39. 27-80 29-82 04-50 4. 10-99 50.20-10 54. 59-57 0-99 115.20. 8-02 115.35.34-54 7-15 20 Moon's L. L. 77. 38. 48-30 29-36 58-00 4. 10-22 58. 54-32 57.24-05 0-99 115.17. 3-87 115. 0.57-34 7-18 22 Moon's U. L. . . 68. 15. 20-90 29-8-2 54-50 2. 22-89 60. 0-78 55. 34-23 0-54 105.53.38-31 100. 10. 3-05 7-19 24 Moon's U. L. . . 55. 12. 0-50 30-01 01-50 1.21-78 00. 12-18 49. 14-09 0-09 92. 55. 35-80 93. 12. 3-67 7'22 25 Moon's U.L... 48. 13. 13-70 29-83 59-50 1. 3-55 59. 57-79 44. 30-29 + 0-18 80. 1. 13-99 80. 17. 37-91 7-22 29 Moon's U. L. . . 20. 48. 52-00 29-77 02-50 0. 28-51 57. 53-02 25. 53-70 8 after + 0-88 + 1-16 04. 54. 53-11 05. 10. 42-83 7-27 Aug. 8 Moon's U. L. . . 53. 24. 27-60 29-61 71-00 1.14-14 54. 4-21 43. 13-75 o-oo 91.13.55-48 91.28.42-48 7-37 12 Moon's U. L. . . 73. 10. 24-00 29-45 08-00 3. 1-22 54.58-10 i2. 29-81 0-72 110.58.24-58 111.13.20-36 7-42 16 Moon's L. L. 79. 49. 15-70 29-03 57-50 4.38-71 58. 10-64 i7. 2-10 0-90 116.28.21-78 116. 12.25-58 7-46 18 Moon's U. L. . . 71. 1. 3-40 29-88 56-00 2. 45-08 00. 1-94 50. 36-13 0-63 108.38.41-35 108.55. 6-42 7-50 The Moon's U. L. or L. L. ws usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponilinp to the time of passage of the limb which was observed with the Transit. The N. P. L>. is formed by adding (JIufsen's 90 p and q cos. N. P. U. to the corrected Quadrant Reading. 90 - p = 38. 31'. 27" -34: q = 7-'-3. () Observed at Transit of 1 L. ( b ) Observed at Transit of Center. Correction applied for defective illumination, 2" '79. Increase of N.P. D. during passage of Semidiaraeter = 0" 20. This is not applied to form the numbers in the columns " Geocentric N. P. D of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAII DISTANCE. (133) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Kquatoreal Parallax. Parallax. IntiTvnl at which Observa- tion was mailc before or alter the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L.orL.L., at Transit of 1 L. or 2 L. Geocentric N. P.O. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1785. Aug. 19 Moon's TJ. L. . . / 1 65. 12. 3-40 in. 29-80 o 55-00 / 2. 3-37 / H 60. 37-87 / // 54. 51-51 it ii 0-45 O / II 102. 50. 43-74 O f II 103. 7.18-65 // 7-51 20 Moon's U. L. . . 53.27. 9-50 29-74 52-50 1. 33-36 60. 56-89 51. 44-61 0-27 96. 8.26-08 96.25. 6-20 7-51 22 Moon's U. L. . . 44.11. 5-10 29-87 52-50 0. 56-07 60. 39 07 42. 3-28 + 0-27 82. 1.24-51 82. 17. 59-75 7-53 26 Moon's U. L. . . 25. 14. 19-30 30-06 47-50 0. 27-67 57.46-41 24. 25-17 + 0-99 63.21.46-93 63. 37. 34-84 7-57 27 Moon's U. L. . . 24.21.16-60 30-10 49-50 0. 26-50 57. 0-34 23. 17 79 + 1-08 62. 29. 50-44 62. 45. 25-72 7-59 Sep. 11 Moon's U. L. . . 79. 8.30-60 29-70 63-00 4. 44-10 56.13-85 55. 5-40 0-99 1 16. 49. 38-87 117. 5. 1-41 7-64 12 Moon's L. L. 79. 22. 20-60 29-89 61-00 4. 53-1 1 57. 6-75 56. 0-10 1-08 117. 2.43-11 116.47. 6-07 7-64 15 Moon's L. L. 63.51.26-40 29-70 50-50 2. 26-12 60. 0-65 55. 48-24 0-54 106. 29. 33-10 106.13. 8-39 7-64 17 Moon's L. L. 55. 39. 57-60 29-87 58-50 1. 23-31 61. 15-23 50. 22-84 0-18 93. 22. 25-65 93. 5.40-51 7-63 18 Moon's U. L. . . 47. 49. 14-40 29-95 59-50 1. 2-92 61. 24-05 45. 17-08 -rO-18 85.36.27-21 85. 53. 14-41 7-62 23 Moon's U. L. . . 24.37.41-70 29-29 56-50 0. 25-75 57.59-11 23. 56-91 + 1-08 62. 45. 35-70 63. 1.27-09 7-58 24 Moon's L. L. 25.24. 5-40 29-10 53-50 0. 26-66 57. 3-29 24. 15-78 + 0-99 63.31.41-43 63.16. 5-34 7-58 26 Moon's L. L. 30.22.41-90 29-97 42-50 0. 34-66 55.31-33 27. 52-37 + 0-81 68. 26. 49-72 68.11.38-84 7-56 27 Moon's L. L. 34.30.17-80 30-22 43-00 0. 40-93 54.57-61 30. 55-91 + 0-63 72. 31. 28-65 72. 16. 27-02 7-56 28 Moon's L. L. 39. 19. 37-40 30-27 44-50 0. 48-70 54.31-62 34.21-53 + 0-45 77. 17. 30-79 77. 2.36-28 7-54 Oct. 10 Moon's L. L. . . 78. 8.31-80 29-51 51-50 4. 25-40 56. 53-70 55. 32-81 0-99 115.48.53-85 115.33.20-39 7-36 14 Moon's L. L. . . 59. 11. 9-10 30-19 57-50 1. 36-55 60. 22-39 51.39-61 0-27 96. 52. 33-96 96.36. 3-29 7-28 16 Moon's L. L. 45. 6. 12-30 30-15 47-00 0.59-10 61. 16-88 43. 11-64 -I-0-27 82. 55. 26-49 82. 38. 40-89 7-25 22 Moon's L. L. 26. 36. 22-00 30-10 46-50 0. 29-50 57. 18-32 25.27-10 + 0-99 64. 42. 49-62 64.27. 9-41 7-09 25 Moon's L. L. 37. 51. 32-00 29-57 36-50 0. 45-90 54.57-61 33.31-78 + 0-54 75. 50. 12-26 75. 35. 10 63 7-02 26 Moon's L. L. 42. 59. 50-60 29-71 33-00 0. 55-71 54. 29-68 36. 58-15 -I-0-36 80. 55. 14-73 80. 40. 20-75 6-99 Nov. 7 Moon's L. L. 76. 6.53-50 29-98 42-50 3. 54-98 56. 56-25 55. 8-07 0-90 113.47. 9-73 113.31.35-57 6-68 9 Moon's L. L. 67. 28. 43-20 30-31 41-50 2.23-59 58. 19-43 53. 42-64 0-54 105. 8.52-81 104. 52. 55-84 6-63 11 Moon's L. L. 55. 7.39-60 29'90 45-50 1. 23-95 59. 42-70 48. 47-64 0-09 92.51.43-52 92.35.23-71 6-56 12 Moon's L. L. . . 48. 19. 17-30 29-90 44-50 I. 5-91 60. 15-88 44. 48-13 + 0-18 86. 7. 2-12 85. 50. 33-24 6-53 13 Moon's L. L. 41.36.53-20 30-20 38-00 0. 53-39 60.37-10 40. 2-42 + 0-36 79. 29. 10-57 79. 12. 35-87 6-50 14 Moon's L. L. 35. 29. 27-20 30-29 35-00 0. 43-27 60. 42-86 35. 1-00 + 0-54 73. 26. 34-72 73. 9.58-45 6-47 The Moon's U. L. or L. L. was usually observed when the hrizht 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those correspondinsr to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed l>v adding Olufsen's 90 p and q cos. N. P. D. to the corrected yuadrant Reading. 90 - p = 38. 31'. 27" -34 : q = /"M3. (134) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Mouth, *nd Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Hori/.ontal Equatoreal Parallax. Parallax. Interval at whirl) Observa- tion was* made before or after the bright Limb |iasscd the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L. orL.L., at Transit of 1 L.or2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1785. Nov. 15 Moon's L. L. O t II 30.29.16-80 30-37 36-50 0. 35-70 60. 30-81 30.27-81 1 " i + 0-81 O ' /' 08. 29. 50-23 o / // 08. 13. 17-25 6-45 16 Moon's U. L. . . 26. 29. 10-90 30-24 38-50 0. 29-98 00. 1-43 26. 32-90 + 0-99 04. 34. 39-25 04.51. 4-17 6-42 17 Moon's U. L. . . 24.59.31-50 29-94 29-50 0. 28-30 59. 18-01 24. 50-04 + 0-99 03. 6.34-87 C3. 22. 47-89 6-39 1!) Moon's L. L. 28. 11.30-50 29-22 39-50 0. 31-09 57.29-15 26. 50-70 -f-0-90 CO. 16. 30-26 GO. 0.47-09 6-34 20 Moon's L. L. . . 31.43.14-40 29-34 37-00 0.36-19 50. 34-45 29. 32-19 + 0-72 69. 45. 43-99 09. 30. 15-80 6-31 23 Moon's L. L. 46. 36. 56-40 30-17 31-00 1. 4-45 54. 35 69 39.29-19 +0-27 84. 29. 56-97 84. 15. 1-35 6-23 26 Moon's L. L. 02. 52. 18-60 28-92 37-50 1. 52-08 64. 9-01 18. 1-76 0-36 100. 37. 35-58 100. 22. 47-27 6-16 Dec. 7 Moon's L. L. 63. 10.26-10 29-64 43-50 1.55-40 58.21-56 51. 56-96 0-36 100. 57. 51-34 100.41.53-79 5-93 14 Moon's U. L. . . 25.30. 1-70 29-94 42-50 0. 28-18 59. 19-43 25. 19-18 -t-0-99 63.36.34-14 03. 52. 47-55 5-83 20 1786. Jan. 3 Moon's L. L. . . Moon's L. L. 44. 29. 34-70 65. 2. 3-70 29-98 29-84 34-50 22-50 0.59-01 2. 11-28 55. 10-63 58. 37-83 38. 27-76 52. 68-84 + 0-27 0-45 82. 22. 30-98 102.42.41-54 82. 7.25-78 102. 26. 39-53 5-77 6-72 7 Moon's L. L. 39. 34. 18-70 29-05 42-00 0. 47-39 59.10-81 37. 29-15 -r-0-45 77. 28. 59-87 77. 12. 48-82 5-73 10 Moon's L. L. 26. 41. 33-20 28-78 45-00 0. 28-40 58. 43-37 20. 9-07 + 0-99 64. 47. 13-78 64.31.10-25 5-74 12 Moon's U. L. . . 25.35.48-10 29-16 43-50 0. 27-50 57. 55-71 24.48-71 + 0-99 63.42.48-01 63. 53. 39-00 5-76 13 Moon's U. L. 27.65. 8-70 29-46 36-50 0.31-18 57. 23-60 26. 39-57 + 0-90 66. 0.22-22 66.16. 3-87 5-77 17 Moon's L. L. 47.38.31-60 29-49 23-50 1. 6-35 55. 3-99 40. 30-00 + 0-18 85.30.31-68 85. 15. 28-30 5-80 18 Moon's L. L. 53.16.50-10 2972 25-50 1.21-34 54. 38-46 43. 37-02 0-09 91. 5.58-03 90.51. 225 5-81 Feb. 3 Moon's L. L. 41.28.24-50 30-02 37-50 0. 52-87 59. 40-88 39. 18-00 7 after + 1-73 + 0-29 79. 21. 23-53 79. 6. 4-24 5-97 6 Moon's L. L. 27.25. 1-70 29-63 44-50 0. 30-20 58. 33-13 26. 44-68 + 0-90 65.30. 9-07 65.14. 8-35 0-01 7 Moon's L. L. 25. 40. 51-70 29-34 38-50 0. 28-07 58. 4-69 24. 57-25 + 0-99 63.47.44-25 63. 31. 61-33 6-03 9 Moon's U. L. 26. 53. 33-00 29-84 35-00 0. 30-33 57. 5-42 25. 30-04 + 0-99 64. 59. 48-57 65. 15. 25-24 6-05 10 Moon's U. L. . . 30. 2.36-30 29-42 41-50 0. 33-64 50. 35-32 28. 7-26 + 0-81 68. 6.24-70 63.21.53-18 6-00 12 Moon's L. L. () Moon's U. L. (") 39.49.31-60 39. 18. 50-70 29-97 41-50 0. 49-39 0. 48-50 55. 36-52 55. 36 49 35. 24-81 35. 1-78 + 0-45 + 0-45 77.46.19-15 77.16. 6-02 77.31. 0-84 77.31. 18-32 6-08 13 14 15 Moon's L. L. Moon's L. L>, . . 45.17. 8-30 50. 55. 33-60 56.31.30-00 30-39 30-33 30-30 38-50 40-00 34-50 1. I'Ol 1.13-98 1.31-71 55. 9-66 54. 45-91 54. 26-60 39. 0-20 42. 19-81 45. 14-26 12 after -2-74 + 0-27 -t-0-13 0-18 83. 10. 32-55 88.45.49-14 94. 19. 12-00 82.55.27-61 88. 30. 50-71 94. 4.18-85 6-10 6-10 0-12 Moon's L. L. 17 Moon's L. L. 66.51.53-10 29-80 44-50 2. 16-48 64. 8-30 49. 37-83 0-54 104. 35. 57-31 104.21. 9-18 0-14 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D is formed hy adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 c - P =3B.31'.27''-34: q = 7"'13. From 1785, Nov. 23, 90- p =38. 31'. 25" -75: q = 7"43. From 1786, Jan. 3, 90- p=38.31'.24"-15i q = 7"'72. () Observed at Transit of 1 L. (") Observed at Transit of 2 L. Correction applied for defective illumination 0'-30. SECT. IT. INVESTIGATION 'or MOON'S NORTH POTAR DISTANCE. (135) Year, Month, nnd Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Ki|iiatrcHl Parallax. Parallax. Interval at which Ob>erva- li'in WBS made aefore or aflcr ihf bright Limb |I;) Observed at Transit of Center. Increase of N P. D. during passage of Scmidiameter = + 12" '7*. Observed Z. D. decreased one revolution of Micrometer. ( r ) Observed 5.S before Transit of Center. Correction applied for distance of Center from middle wire, 7" 53. lncrta?e of N. P. D. during passage of Semidiamttcr = 8" -67. ( d ) Observed 65- after Transit of Center. Correction applied for distance of Center from middle wire + 8" -89. Correction applied for defective illumination. U" -S3. (b) (c)(i"i The correction for time of passage of Semidiaincter lias not been applied to either of these observations to form the numbers in the columns "Geocentiic N. P.O. of Limb," " Geocentric N.P. D. of Center:" which, therefore, in these instances, represent the N. P. D. of Limb and Center at the Transit of Center. () Observed at Transit of 1 L. Correction applied for defective illumination, -t 0"-0-'. (0 Observed at estimated Transit of 2L. (rough limbi. Increase of N. P. D. during passage of Semidiaineter = Kt"'16. This is not applied to form the numbers in the columns "Geoecntrn N. P. D of Limb," " GeocentricN. P. D. of Center;" which, therefore, in this instance, represint the N. P. D. o; Limb and Center at Transit of 2 L,. (8) Observed at Transit of 1 L. (& ittle scabrous ). Correction applied for deftct'ne illumination. + 2"' 7, ( h ) Observed at Transit of 2 L. (i) The printed reading of the Eitcrior Divisions when reduced is 50" greater than the printed reduction ; tlic latter, however, has been used because it agrees with the interior reading. GREENWICH LUNAR REDUCTIONS. (U) (146) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1788. Sep. 21 Moon's U. L. . . o / // 29. 25. 29-50 in. 29-42 o 44-50 / 0. 32-60 / // 58.26-07 / // 28. 29-42 II it + 0-83 ( 67. 28. 58-44 O 1 II 67. 44. 57-23 i 57-73 Oct. 7 Moon's L. L. 70. 4fl. 12-40 30-28 46-50 2. 48-29 54. 17-95 51. 7-42 0-63 108. 29. 24-06 108. 14. 33-30 57-53 8 Moon's L. L. 67.40. 9-40 30-47 48-50 2. 23-59 54. 12-28 49. 59-20 23 after + 3-26 0-21 105. 24. 7-78 105. 9. 18-57 57-50 9 Moon's L. L. 63. 55. 13-10 30-36 49-50 2. 0-07 54. 17-01 48. 35-70 0-42 101.40. 7-40 101.25.16-90 57-48 10 Moon's L. L. 59.40. 2-80 30-36 48-50 1.40-80 54.31-27 46. 53-23 0-27 97. 26. 19-78 97.11.25-37 57-46 13 Moon's L. L. 45.27. 11-60 30-14 53-50 0. 59-01 55. 62-69 39. 37-57 +0-27 83.20. 0-72 83. 4. 43 98 57-40 14 15 17 Moon's U. L. . . Moon's U. L. . 40. 20. 34-20 36. 12. 58-20 30-06 29-66 29-90 46-50 40-50 35-50 0. 49-93 0. 43-02 0. 35-38 56. 26-1-2 56. 59-43 57. 58-95 36. 19-70 33. 27-70 29. 17-48 + 0-43 + 0-54 + 0-76 78. 16. 31-46 74.11.40-02 68. 38. 6-97 78.31.57-37 74. 27. 15-05 68.53.53-31 57-37 5736 57-31 Moon's U. L. . . 30. 35. 23-20 18 Moon's U. L. . . 29. 37. 49-40 30-20 31-50 0. 34-68 58.23-18 28. 38-97 + 0-81 67.41.10-88 67.57. 8-87 57-28 19 Moon's L. L. 30. 40. 43-40 30-22 33-50 0. 36-04 58. 43-30 29. 44-66 12 before + 0-59 + 0-52 68. 43. 1-01 68. 26. 57-50 57-25 21 Moon's L. L. 35. 54. 57-80 30-09 47-50 0. 42-54 59. 11-40 34. 30-23 + 0-52 73. 52. 36-54 73. 36. 25-33 57-20 Nov. 4 Moon's L. L. 68. 52. 14-60 29-77 48-50 2. 28-98 54.18-11 50.30-01 0-54 106.35.44-15 106. 20. 53-34 56-83 5 Moon's L. L. 65. 22. 24-40 30'07 44-50 2. 8-21 54. 13-28 49. 7-87 0-49 103. 6.54-83 102.52. 5-34 50-80 6 Moon's L. L. 61.20.23-80 30-11 40-50 1.48-75 54. 19-64 47. 30-27 0-31 99. 6.11-91 98.51. 20-69 56-76 9 Moon's L. L. 47. 28. 18-00 29-61 47-50 1. 2-97 55.38-17 40.48-41 + 0-22 85. 20. 0-50 85. 4.47-74 56-67 10 Moon's L. L. 42.47.41-20 29-87 44-50 0. 54-30 56. 18-67 38. 3-31 + 0-36 80.41.58-53 80. 26. 34-67 56-64 11 Moon's L. L. 38. 26. 50-00 30-08 49-50 0. 46-42 57. 1-76 35. 15-17 + 0-54 76. 23. 47-04 76. 8. 11-37 56-61 13 Moon's U. L. ( a ) 31. 24. 16-60 29-81 36'50 0. 36-36 58. 22-54 30. 12-09 69.26. 4-97 69. 42. 2-78 56-55 14 Moon's U. L. . . 29. 53. 33-30 29-94 31-50 0. 34-75 58. 53-83 29. 8-05 + 0-81 67. 56. 24-67 68. 12. 31-07 56-52 17 Moon's L. L. 34.53.36-10 30-05 37-50 0.41-77 59. 29-67 33. 48-93 + 0-61 72.51.53-12 72. 35. 36-90 56-43 22 Moon's L. L. 59. 49. 27-20 30-07 38-50 1. 42-56 58. 12-49 50. 8-31 0-27 97.32.29-27 97. 16. 34-22 56-30 Dec. 2 Moon's L. L. 66. 50. 22-80 29-67 30-50 2. 19-51 54.12-51 49. 41-09 0-54 104. 34. 30-05 104.19.40-78 56-05 8 Moon's L. L. 40. 26. 56-90 29-85 31-50 0. 51-35 56. 25-57 36. 24-26 + 0-45 78. 22. 49-00 78. 7.23-25 55-94 9 10 11 Moon's L. L. Moon's L. L. 30. 26. 20-40 33 10.26-70 29-88 29-82 29-96 34-50 33-50 27-50 0. 44-24 0.39-19 0. 36-65 57. 17-41 58. 10-49 59. 0-51 33. 49-14 31.37-10 30. 10-53 + 0-54 + 0-68 + 0-79 74. 24. 39-89 71.10.52-74 69. 1.55-71 74. 8.59-94 70. 54. 58-23 68. 45. 47-49 55-93 55-91 55-89 Moon's L. L. . . i 31. 0. 6-90 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90- p =38. 31'. 28'' -48: q = 9"'26. From 1788, Nov. 10, 90- p = 38. 31'. 27" -59 : q=9''"94. From 1788, Nov. 17, 90-p = 38.31'.26"-70: q = 10"'62. () Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 6" 05. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," "Geocentric N.P. D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (147) Year, Month, and Day. Nil me of Object. Ouadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L. or L.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1788. Dec. 12 Moon's U. L. . . O 1 II 29. 41. 17-40 29-93 o 26-50 0. 34-82 59. 41-86 29. 20-72 1 " -t-0-81 Q 1 II 67. 43. 54-99 O / H 68. 0. 14-55 55-87 13 Moon's U. L. .. 30. 31. 58-80 29-53 26-50 0. 35-54 60. 10-69 30. 20-94 + 0-79 68. 33. 37-01 68.50. 4-47 55-86 17 Moon's L. L. 47. 23. 30-70 30-04 15-50 1. 8-18 59.36-41 43. 39-83 + 0-23 85. 12. 25-09 84.56. 7-03 55-80 IS Moon's L. L. 52. 54. 29-00 29-75 22-50 1.20-85 59. 2-00 46. 53-52 o-oo 90.40.23-15 90. 24. 14-51 55-79 21 1789. Jan. 2 Moon's L. L. Moon's L. L. 67. 27. 26-70 51. 30. 42-80 29-80 29-91 29-50 27-50 2. 24-66 1. 16-48 57. 10-58 54. 25-63 52. 38-76 42. 24-96 -0-54 + 0-05 105. 8.41-53 89.21. 0-95 104.53. 3-44 89. 6. 8-08 55-76 55-70 4 Moon's L. L. 42. 26. 58-80 30-14 23-50 0. 56-58 55.29-17 37.15-11 + 0-36 80. 22. 5-55 80. 6.55-26 55-70 5 Moon's L. L. 38. 18. 52-80 30-61 17-50 0. 50-30 56. 15-79 34. 40-70 + 0-54 76.16.27-12 76. 1. 4-05 55-70 6 Moon's L. L. 34. 44. 40-60 30-38 20-50 0. 43 54 57. 10-22 32. 22-38 + 0-63 72. 44. 25-94 72.28.47-95 55-70 8 Moon's L. L. 30. 30. 22-00 29-62 20-50 0. 36-07 59. 8-48 29. 48-22 + 0-81 68. 32. 33-48 68.16.23-07 55-71 9 Moon's L. L. 30. 27. 29-40 29-31 21-50 0. 35-55 60. 1-71 30. 12-44 -T-0-81 68.29.16-13 68. 12. 51-13 55-71 15 Moon's L. L. 56. 13. 50-90 29-47 33-50 1.28-41 59. 33-95 49. 19-35 0-16 93. 57. 26-73 93.41. 9-34 55-75 31 Moon's L. L. 44. 13. 24-40 30-00 51-50 0. 56-50 54.48-12 38. 1-65 + 0-27 82. 7.44-77 81.52.45-74 55-90 Feb. 1 Moon's L. L. 40. 1. 44-30 29-6-2 47-50 0. 48-56 55. 20-90 35. 23-91 + 0-46 77. 58. 33-90 77. 43. 25-88 55-91 2 Moon's L. L. . . 36. 18.24-60 29-49 45-50 0. 42-47 56. 2-64 32. 58-73 + 0-54 74. 17.32-71 74. 2. 13-25 55-92 3 Moon's L. L. 33. 17. 22-50 29-28 44-50 0. 37-77 56. 52-73 31. 0-56 + 0-68 71.18.23-69 71. 2.50-49 55-94 4 Moon's L. L. . . 31. 14.47-90 29-30 41-50 0. 35-14 57. 49-49 29. 46-88 + 0-77 69. 16. 59-87 69. 1.11-12 55-95 5 Moon's L. L. . . 30.27. 3-60 29-53 36-50 0. 34-68 58. 49-53 29. 35-72 + 0-81 68.29.26-18 68. 13. 20-96 55-96 7 Moon's U. L. . . 32. 48. 14-80 29-66 38-50 0.38-03 60. 37-29 32. 37-09 + 0-68 70. 47. 39-63 71. 4. 14-38 55-98 8 Moon's U. L. . . 36.29.37-10 29-53 30-50 0. 43-63 61. 12-18 36. 10-44 + 0-54 74. 25. 34-68 74. 42. 19-00 55-99 9 Moon's L. L. (") Moon's U. L. (") 41.54.49-10 41.21. 18-10 29-44 33-50 0. 53-10 0. 52'07 61. 27-12 61.27-12 40. 49-80 40. 22-79 + 0-41 -t-0-41 79.46. 17-6-2 79-13. 9-49 79. 29. 29-21 79. 29. 57-90 56-00 12 Moon's L. L. 58.59. 7-90 30-04 32-5(i 1.40-38 60. 8-38 51.21-15 0-27 96. 40. 54-80 96. 24. 27-97 56-04 Mar. 4 Moon's L. L. 30.51.18-50 29-74 35-50 0. 35-57 57. 32-09 29. 17-72 -1-0-79 68.54. 0-02 68. 38. 16-04 56-16 8 Moon's U. L. . . 38. 47. 36-60 29-90 29-50 0. 48-71 60. 42-90 37. 49-01 + 0-50 76.42. 1-06 76. 58. 37-34 56-17 10 Moon's L. L. . . 50. 6. 52-60 29-44 30-50 1. 11-18 61. 10-17 46. 43-68 + 0-11 87. 52. 46-52 87.36. 2-76 56-18 11 Moon's L. L. .. 55. 54. 40-60 29-12 27-50 1.27-42 60. 54-01 50. 14-24 0-15 93.37.21-00 93. 20. 41-67 56-17 12 Moon's L. L. 61.22.22-60 29-11 27-50 I. 48-22 60. 19-31 52. 45-76 0-30 99. 2.53-13 98.46.23-31 56-16 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables iibove are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to ihe corrected Quadrant Reading. 90 - p = 38. 31'. 26" -70: q = 10'' '62. (") Observed at Transit of 1 L, ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 3" '01. Increase of N.P.D. during passage of Semi- diameter = + 15"' 14. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of 2 L. (U)2 (148) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1789. o / " in. , , , " II O / ;/ O 1 // ' Mar. 13 Moon's L. L. . . 66. 8.25-90 28-90 33-50 2. 10-64 59. 30-52 54. 15-04 0-52 103. 47. 50-21 103. 31. 33-76 56-16 Apr. 1 Moon's L. L. 30. 57. 37-50 29-48 49-50 0. 34-39 57. 34-45 29. 24-35 -r-0-79 69. 0.11-22 68. 44. 26-59 55-97 4 Moon's U. L. . . 37.10. 11-90 29-76 36-50 0. 45-06 59. 28-50 35.42-90 -I-0-54 75. 6. 38-57 75. 22. 64-47 55-91 5 Moon's U. L. . . 41.41. 2-10 29-98 40-50 0. 52-86 59. 59-38 39. 40-63 + 0-36 79. 33. 39-47 79.50. 3-83 55-89 6 Moon's U. L. . . 46. 54. 54-20 30-01 38-50 1. 3-77 60. 20-37 43. 51-33 32 after -7-06 + 0-06 84. 43. 25-36 84. 59. 55-48 55-87 8 Moon's U. L. . . 58. 2.55-10 29-93 42-50 1.34-43 60. 19-99 50. 59-83 0-27 95.44.57-19 96. 1.27-20 55-82 10 Moon's L. L. 68. 0.51-50 29-76 35-50 2. 26-59 59. 18-16 54. 49-40 0-54 105. 39. 57-72 105. 23. 44-65 55-79 12 Moon's L. L. 73. 9.57-00 29-73 32-50 3. 15-61 57. 37-85 55. 0-75 0-74 110.49.41-60 110.33. 56-04 55-74 14 Moon's U. L. . . 72. 42. 17-00 29-73 35-60 3. 8-99 55. 56-22 53. 15-49 0-74 110.23.40-16 110.38.57-87 55-69 17 Moon's U. L. . . 65. 14. 50-40 29-52 47-50 2. 4-37 54.21-13 49. 11-74 0-50 102.59. 11-62 103. 14. 3-26 55-61 30 Moon's U. L. . . 32. 58. 35-20 29-60 56-50 0. 36-81 58. 27-59 31.36-13 +0-67 70. 58. 59-79 71. 14.58-99 55-29 May 4 Moon's U. L. . . 50. 23. 44-30 29-57 53-50 1. 8-84 59. 35-34 45. 42-30 +0-09 88. 10. 37-29 88. 26. 55-06 55-18 6 Moon's U. L. . . 60.59. 1-90 29-88 52-50 1.43-76 59. 27-56 51.48-54 -0-31 98.40.25-11 98. 56. 40-75 55-12 8 Moon's L. L. 69.48.41-60 30-02 50-50 2.37-13 58. 38-68 54. 52-86 0-62 107.27.55-14 107.11.5290 55-06 9 Moon's U. L. . . 71.49.42-70 29-92 53-50 2. 53-96 58. 1-12 54. 58-04 0-72 109. 29. 1-00 109. 44. 52-94 55-03 10 Moon's U. L. . . 73. 5. 19-60 30-08 51-50 3. 9-27 57. 18-65 54. 40-70 -0-72 110.45. 17-91 111. 0.58-18 55-00 12 Moon's U. L. . . 71.50.19-60 29-93 59-50 2. 52-00 55. 52-14 52. 56-01 -0-71 109.31.45-13 109.47. 1-72 54-95 18 Moon's U. L. . . 50. 9.55-50 30-08 50-50 1. 9-88 64. 28-41 41.38-48 + 0-09 88. 0.53-32 88.15.46-95 54-77 19 Moon's TJ. L. . . 45. 43. 39-30 30-06 55-50 0.59-18 54. 49-93 39. 3-96 + 0-27 83. 37. 0-31 83.51.59-84 54-75 29 Moon's U. L. . . 38. 53. 35-40 29-65 63-50 0.45-20 59. 15-38 36. 59-28 +0-49 76.48.46-15 77. 4.58-45 54-53 June 2 Moon's TJ. L. . . 59. 15. 17-80 29-74 59-50 1. 34-98 58. 56-30 50. 27-92 0-27 96. 57. 52-58 97. 13.69-65 54-46 4 Moon's U. L. . . 67. 56. 47-80 29-28 50-50 2. 19-30 58. 16-09 53.50-19 0-54 105. 36. 45-93 105.52.41-97 54-42 6 Moon's U. L. . . 70. 55. 10-80 2971 60-50 2.41-76 57. 48-29 54.28-16 0-67 108.34.53-81 108.50.42-23 54-40 7 Moon's L. L. (") 73.45. 4-70 29-96 48-50 3. 17-67 56.41-94 54. 17-34 0-77 111.25.34-93 111. 10. 4-69 54-35 Moon's TJ. L. (") 73. 14. 3-40 3.11-38 56.41-87 54. 8-23 -0-77 110.54.36-27 111. 10. 6-49 10 Moon's U. L. . . 67. 59. 58-50 29-90 49-50 2. 22-92 55. 2-60 50. 52-59 0-54 105.42.57-87 105.58. 0-88 54-30 18 Moon's U. L. . . 35.43. 6-70 29-78 62-50 0. 40-55 56. 10-93 32. 35-48 -r-0'54 73. 42. 36-03 73. 57. 57-77 54-19 19 Moon's U. L. . . 32. 54. 17-90 29-54 68-50 0. 35-77 56. 57-52 30. 43 86 - + 0-68 70. 55. 33-72 71.11. 8-23 54-18 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and n cos. N. P. D. to the corrected Quadrant Reading. 90 p = 38. 31 '.26'' -70 : q = 10" '62. () Observed at Transit of 1 L. Correction applied for defective illumination, -f- 0*-09. (") Observed at Transit of 2 L. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (149) Year, Month, nnd Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatorcal Parallax. Parallax. Interval at which Observa- tionwas made before or after the bright Limb passed tbc Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L.orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1789. June 26 Moon's U. L. . . o / i 41.49.31-70 in. 29-70 o 63-50 / # 0. 50-22 / a 59. 57-76 / // 39. 46-16 a // + 0-36 O / II 79.42. 0-92 o / // 79. 58. 24-84 II 54-14 30 Moon's U. L. . . 62. 30. 44-20 29-92 60-50 1.48-91 58. 37-89 51.49-86 -0-36 100. 12. 11-47 100. 28. 13-50 54-13 July 2 Moon's U. L. . . 69.59. 6-90 29-84 62-50 2. 33-81 57. 35-78 53. 57 37 0-63 107.39.12-63 107. 54. 57-63 54-13 3 Moon's U. L. . . 72. 10. 23-30 29-78 64-50 2. 52-74 57. 4-07 54. 10-38 0-72 109. 50. 35-24 110. 6. 11-55 54-13 5 Moon's L. L. 73.26.21-80 29-74 56-50 3. 9-25 56. 1-50 53. 33-38 32 after + 1-04 0-18 111. 7.29-06 110.52. 9-90 54-12 6 Moon's U. L. . . 71.33.49-80 29-84 54-50 2. 50-53 55.32-31 52. 32-17 0-70 109. 15. 37-66 109. 30. 48-80 54-12 8 Moon's U. L. . . 66. 4.54-60 29-90 54-50 2. 9-03 54. 42-22 49. 50-64 0-54 103. 48. 41-69 104. 3. 39-10 54-13 9 Moon's U. L. . . 62. 21. 43-00 29-95 56-50 1. 49-21 54.24-01 48. 1-44 0-36 100. 6.58-98 100.21.51-41 54-13 16 Moon's U. L. . . 34. 12. 12-20 29-55 61-50 0.38-11 56. 13-10 31.23-60 + 0-63 72. 12. 50-80 72.28.13-13 54-16 26 Moon's U. L. . . 55.38.21-50 29-68 65-50 1.21-55 60. 2-52 49.21-90 0-16 93.21.48-31 93. 38. 13-53 54-23 28 Moon's U. L. . . 65. 18. 15-40 29-90 63-50 2. 2-25 58.42-01 53. 9-34 -0-50 102. 58. 36-89 103. 14. 40-04 54-26 31 Moon's U. L. . . 72. 50. 0-80 29-53 58-50 3. 0-33 56. 35-52 53.55-16 0-74 110.30.35-66 110.46. 4-14 54-28 Aug. 1 Moon's U. L. . . 73. 0. 45-60 29-91 58-50 3. 4-65 55. 59-98 53. 24-41 0-77 110.41.55-52 110.57.14-25 54-29 3 Moon's U. L. . . 70. 5. 8-20 29-98 59-50 2. 36-32 55. 2-05 51. 35-35 -0-63 107. 47. 38-49 108. 2.41-34 54-32 6 Moon's U. L. . . 59.50.11-40 30-16 55-50 I. 39-37 54. 9-11 46.38-80 0-27 97. 36. 39-81 97.51.28-15 54-35 7 Moon's U. L. . . 55.35.48-80 30-15 55-50 1 . 24-39 54. 2-04 44.24-18 0-16 93.24. 16-18 93.39. 2-58 54-36 8 Moon's U. L. . . 51. 13.39-40 30-19 53-50 1. 12-39 54. 1-23 41. 55-85 + 0-05 89. 4.22-52 89.19. 8-70 54-37 9 Moon's U. L. . . 46.53.11-00 30-07 55-50 1. 1-64 54. 8-00 39. 19-54 -1-0-23 84. 46. 19-06 85. 1. 7-10 54-39 10 Moon's U. L. 42. 43. 19-40 30-07 52-50 0. 53-64 54. 23"23 36.42-13 -1- 0-32 80. 38. 56-20 80.53.48-41 54-40 12 Moon's U. L. . . 35. 34. 53-20 30-02 55-50 0.41-25 55. 21-63 32. 0-4f + 0-54 73. 34. 58-23 73.50. 6-46 54-42 27 Moon's U. L. . . 72. 17. 13-60 29-96 64-50 2. 54-95 57. 13-98 54.21-90 -0-72 109. 57. 16-25 110. 12.55-27 54-56 28 Moon's U. L. . . 72. 51. 36-40 29-83 62-50 3. 0-98 56. 25-70 53. 46-26 0-75 110.32.20-80 1 10. 47. 46-59 54-66 29 Moon's U. L. . . 72. 16. 3-80 29-65 64-50 2. 52-94 55. 44-20 52. 56-25 0-72 109. 57. 30-09 110. 12.44-50 54-68 31 Moon's U. L. . . 68. 7.17-30 29-62 65-50 2. 17-88 54. 43-06 50.37-12 0-54 105. 50. 27-12 106. 5.24-77 54-58 Sep. 2 Moon's U. L. . . 61. 9.11-70 29-52 56-50 1. 42-37 54. 8-84 47. 15-47 0-31 98.55. 6-64 99. 9.54-90 54-59 5 Moon's U. L. . . 48. 24. 48-50 29-76 57-50 1. 4-09 54. 1-14 40. 12-86 + 0-16 86.17. 5-91 86.31.52-06 54-61 8 Moon's U. L. . . 36. 50. 12-70 30-04 56-50 0.43-13 54. 48-86 32. 39-67 -r-0-54 74. 49. 40-62 75. 4.39-86 54-61 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Rending. 90 - p = 38. 31'. 26" -70 : q = 10" '62. (150) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1789. Sep. 11 Moon's U. L. . . o t it 31. 6.29-90 30-18 o 47-50 0. 35-56 56. 44-88 29. 6-50 * n II +0-76 1 II 69. 9.22-64 o t it 69. 24. 53-68 54-61 12 Moon's U. L. 31.20.57-50 30-15 57-50 0. 35-14 57. 37-72 29. 46-04 +0-70 69. 23. 10-26 69. 38. 55-79 54-61 14 Moon's L. L. 36. 13. 4-20 29-70 49-50 0. 42-29 59. 30-58 34. 56-61 +0-54 74. 10.14-22 73. 53. 57-76 54-60 25 Moon's U. L. . . 72. 22. 28-20 30-11 57-50 2. 59-25 56.31-40 53.43-05 -0-72 110. 3.14-02 110. 18.41-37 54-54 26 Moon's TJ. L. . . 71. 4.34-70 30-10 57-50 2. 46-33 55. 44-04 52. 34-09 0-68 108. 46. 16-38 109. 1.30-75 54-53 27 Moon's L. L. . . 69.20.34-10 29-86 56-50 2. 30-62 55. 5-51 51.23-87 0-57 107. 3. 10-09 106.48. 6-29 54-52 Oct. 1 Moon's L. L. 54. 37. 37-60 29-05 47-50 1. 19-74 54. 0-68 43. 51-75 0-09 92. 26. 32-65 92. 11.40-62 54-46 2 Moon's L. L. 50.19.36-90 28-96 43-50 1. 8-65 54. 2-79 41. 24-89 -I-0-09 88. 10.47-11 87.56. 0-50 54-45 3 Moon's L. L. 46. 5.20-90 29-28 43-50 0. 59-82 54. 10-66 38. 50-41 + 0-27 83.58. 56-17 83.44. 7-40 54-43 4 Moon's U. L. . . 41. 34. 17-20 29-45 40-50 0.51-72 54. 23-69 35. 53-79 + 0-36 79. 30. 40-26 79. 45. 32-60 54-41 5 Moon's U. L. . . 37.58. 7-10 28-82 43-50 0. 44-26 54.41-60 33. 26-86 + 0-64 75.56.49-16 76. 11.46-40 54-40 6 Moon's U. L. . . 34. 57. 12-70 29-09 45-50 0. 39-86 55. 4-44 31. 20-92 + 0-59 72. 57. 55-82 73. 12. 59-33 54-39 9 Moon's U. L. . . 31. 19. 11-60 29-33 42-50 0. 35-21 56. 43-91 29. 16 75 +0-74 69.21.53-76 69. 37. 24-54 54-33 28 Moon's L. L. 56. 3.22-20 30-08 42-50 1. 27-97 54. 7-90 44. 43-85 0-16 93.51.33-57 93. 36. 45-56 53-89 29 Moon's L. L. 51. 47. 42-90 30-00 41-50 1. 15-24 54. 6-77 42. 20-36 + 0-03 89.38. 4-44 89. 23. 16-74 53-86 31 Moon's L. L. 43. 26. 29-20 30-12 33-50 0. 57-30 54. 27-28 37. 15-01 4-0-31 81.21.36-90 81. 6.43-57 53-81 Nov. 1 Moon's L. L. 39. 40. 25-20 29-84 36-50 0. 49-42 54. 46-40 34. 46-20 40-49 77. 37. 53-34 77. 22. 54-78 53-78 2 Moon's L. L. ( a ) Moon's U. L. (") 36. 25. 44-40 35. 54. 50-80 2924 40-50 0. 42-74 0. 41-94 55. 9-66 55. 9-73 32. 33-24 32. 9-17 + 0-54 40-54 74. 25. 18-29 73. 54. 47-87 74. 10. 13-35 74. 9.52-83 53-75 3 Moon's U. L. . . 33. 23. 42-40 28-98 40-50 0. 37-84 55. 36-03 30. 23-79 + 0-61 71.25.20-38 71.40.32-55 53-72 7 Moon's L. L. 34. 24. 47-40 28-86 36-50 0. 39-49 57.38-12 32. 21-66 + 0-63 72. 24. 29-35 72. 8.43-71 53-61 8 Moon's L. L. 37.24.25-10 29-30 35-50 0. 44-84 58. 10-87 35. 7-87 + 0-54 75.21.26-63 75. 5.32-02 53-58 9 Moon's L. L. 41.20.35-30 29-61 31-50 0. 52-57 58. 43-40 38. 34-78 + 0-40 79. 14. 18-21 78. 58. 14-67 53-56 26 Moon's L. L. 49. 12. 54-90 30-28 30-50 1. 10-93 54. 13-06 40. 51-96 4-0-15 87. 4.40-18 86. 49. 50-76 53-12 28 Moon's L. L. . . 41. 8. 19-10 30-28 34-50 0. 53-03 54. 42-93 35. 47-99 40-41 79. 4.49-24 78.49.51-63 53-08 29 Moon's L. L. 37. 39. 22-00 30-14 33-50 0. 46-74 55. 927 33. 29-66 + 0-54 75. 38. 3-68 75. 22. 58-85 53-05 Dec. 2 Moon's L. L. . . 31.51.35-10 29-72 39-50 0. 36-66 56. 49-00 29. 46-83 + 0-70 69. 53. 48-68 69. 38. 16-51 52-99 3 Moon's L. L. 32. 7.13-50 29-95 32'50 0. 37-88 57. 21-85 30. 17-33 40-72 70. 8.57-86 69. 53. 16-68 52-96 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" -70: q = 10'' "62. (") Observed at Transit of 1 L. The correction for defective illumination is insensible. ( b ) Observed at Transit of 2 L. \ SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (151) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1789. Dec. 5 Moon's L. L. . . O t It 36. 19.23-30 in. 30-22 o 45-50 / // 0. 43-55 / // 58. 16-93 34. 18-57 ' a 1 4-0-54 o / tt 74. 17. 12-64 O 1 II 74. 1.16-36 a 52-92 Moon's L. L. 40. 1. 12-30 30-33 42-50 0. 50-22 58. 37-73 37. 29-40 + 0-43 77. 55. 58-03 77. 39. 56-04 52-91 24 Moon's L. L. . . 46. 54. 25-00 29-17 41-50 1. 1-58 54. 14-62 39. 25-28 + 0-25 84. 47. 27-29 84. 32. 37-44 52-70 25 Moon's L. L. 42. 53. 27-30 29-44 36-50 0. 54 60 54. 26-89 36. 51-79 + 0-34 80. 48. 55-45 80. 34. 2-23 52-69 29 Moon's L. L. 32. 11.27-20 29-64 45-50 0. 36-58 56.44-61 30. 1-21 -1-0-72 70. 13. 26-40 69. 57. 55-42 52-68 31 1790. Jan. 1 Moon's L. L. Moon's L. L. 32. 48. 29-00 35. 2. 33-40 29-41 30-15 38-50 32-50 0. 37-71 0. 42-59 58.11-23 58. 46-91 31.18-76 33.32-17 + 0-70 + 0-61 70.49. 11-86 73. ]. 8-03 70. 33. 17-15 72.45. 3-54 52-69 52-69 3 Moon's L. L. 42. 44. 23-90 30-05 43-50 0. 54-63 59. 29-60 40. 9-84 + 0-36 80. 36. 34-02 80. 20. 17-82 52-69 6 Moon's L. L. 57. 56. 24-40 30-20 40-50 1.35-27 59. 19-78 50. 5-54 0-23 95. 39. 21-65 95.23. 8-14 52-70 20 Moon's L. L. . . 48. 49. 47-20 30-19 33-50 1. 9-32 54. 8-52 40. 34-17 +0-16 86.41.48-60 86.27. 0-43 52-80 21 Moon's L. L. 44.44.10-20 30-28 36-50 0. 59-89 54. 10-27 37.56-19 + 0-27 82. 38. 39-51 82. 23. 50-85 52-81 23 Moon's L. L. 37. 35. 48-00 30-15 42-50 0. 45-79 54. 46-00 33. 12-81 + 0-54 75. 34. 45-58 75.19.47-12 52-83 25 Moon's L. L. 32. 56. 38-60 30-14 36-50 0. 39-01 56. 3-67 30. 16-84 + 0-69 70. 58. 24-70 70.43. 4-95 52-86 27 Moon's L. L. 32. 17. 8-10 29-39 34-50 0. 37-25 57. 48-68 30. 39-95 + 0-72 70.18.29-24 70. 2.40-71 52-89 28 Moon's L. L. 33.49.51-10 28-98 43-50 0. 38-23 58.41-82 32. 27-77 -r-0-65 71.49.25-60 71.33.22-50 52-90 20 Moon's U. L. . . 36. 5.44-30 29-12 32-50 0. 42-76 59. 28-86 34. 49 37 + 0-54 74. 3. 2-01 74. 19. 18-01 52-91 30 Moon's L. L. 40. 34. 40-80 29-61 35-50 0. 50-74 60. 4-79 38. 51-86 +0-45 78.28. 4-71 78. 11.38-87 52-92 Feb. 1 Moon's L. L. . . 50. 34. 42-80 30-05 36-50 1. 12-93 60.30-19 46. 31-95 + 0-09 88. 20. 50-26 88. 4.17-46 52-95 18 Moon's L. L. 42. 33. 34-70 30-32 45-50 0. 54-55 54. 4-50 36. 22-83 -r-0-36 80. 29. 31-72 80. 14. 44-64 53-15 19 Moon's L. L. 39. 4. 9'50 30-33 46-50 0.48-16 54. 16-59 34. 0-70 + 0-51 77. 2.21-79 76. 47. 31-39 53-16 20 Moon's L. L. 36. 7.45-20 30-28 42-50 0. 43-60 54. 38-78 32. 1-20 + 0-54 74. 7.51-94 73. 52. 55-47 53-17 21 Moon's L. L. 33. 53. 57-90 30-21 39-50 0. 40-29 55. 11-25 30. 34-62 -t-0'61 71. 55. 27-59 71. 40. 22-22 53-17 22 Moon's L. L. 32. 32. 59-70 29-98 45-50 0. 37-52 55. 53-82 29. 52-09 + 0-72 70.35. 9-02 70. 19.51-97 53-19 25 Moon's TJ. L. . . 34. 38. 40-00 30-07 46-50 0. 40-65 58. 43-76 33. 10-16 + 0-59 72.37.34-61 72. 53. 38-25 53-21 26 Moon's U. L. . . 37. 54. 37-60 29-93 45-50 0. 45-68 59. 40-65 36. 26-91 + 0-54 75.50.22-01 76. 6,41-24 53-22 27 Moon's U. L. . . 42.11.54-50 30-16 42-50 0. 53-92 60. 28-05 40. 23-85 -r-0-36 80. 3.49-80 80. 20. 22-02 5323 28 Moon's U. L. . . 47. 13. 46-60 30-15 43-50 1. 4-10 61. 0-26 44. 34-04 + 0-25 85. 1.42-69 85. 18. 23-74 53-23 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" -70 : q = 10"-62. (152) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equator! Parallax. Parallax. Interval at which Observa- tion was made before or after the brighl Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L. orL.L., at Transit of 1 L.or2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1790. Mar. 3 Moon's L. L. o r it 63. 23. 36-70 in. 30-16 o 40-50 / // 1.58-77 / a 60. 39-04 / // 54. 2-78 H 0-40 O / ft 101. 3. 1-03 O 1 II 100. 46. 25-80 U 53-25 6 Moon's L. L. 70.21.27-90 30-31 31-50 2. 50-00 59. 8-41 55. 32-34 0-61 108. 0.14-93 107.44. 4-54 53-25 19 Moon's L. L. 37. 13. 49-70 30-31 48-50 0. 44-86 54. 16-43 32. 38-34 + 0-54 75. 13. 20-75 74. 58. 30-40 53-23 20 Moon's L. L. 34. 46. 45-00 30-30 46-50 0.41-16 54. 37-46 30. 57-47 + 0-61 72. 47. 52-86 72. 32. 56-75 53"23 21 Moon's L. L. 33. 8. 3-70 30-18 47-50 0. 38-46 55. 7-06 29. 65-47 + 0-67 71.10.10-63 70.55. 6-40 53-22 24 Moon's U. L. . . 33. 46. 15-00 29-77 47-50 0. 38-86 57. 26-29 31. 42-92 -r-0-63 71.46.34-95 72. 2. 17-34 53-18 25 Moon's U. L. . . 36. 23. 15-60 29-94 47-50 0.43-07 58. 25-07 34. 26-45 + 0-54 74. 20. 56-59 74. 36. 55-10 53-17 31 Moon's L. L. 65. 25. 33-30 29-82 40-50 2. 8-52 61. 6-13 55. 23-36 0-48 103. 3.47-08 102.47. 4-42 53-10 Apr. 1 Moon's L. L. 69. 0.20-30 30-04 32-50 2. 36-55 60. 28-54 56. 17-63 0-54 106.38. 8-42 106.21.36-06 53-08 2 Moon's L. L. 71.20. 5-70 30-14 31-50 2. 58-43 59. 37-22 56. 19-55 0-66 108. 58. 14-07 108.41.55-78 53-06 3 Moon's L. L. 72.18.54-00 30-08 32-50 3. 8-02 58. 38-93 55. 43-42 0-70 109. 57. 48-23 109.41.45-92 53-05 4 Moon's U. L. . . 71.28. 1-80 30-12 32-50 2. 59-26 67. 39-44 54. 30-62 0-68 109. 7.59-94 109. 23.45-93 53-03 20 Moon's U. L. . . 33. 14. 2-70 30-14 45-50 0. 38-72 56. 30-24 30. 45-48 + 0-65 71. 15. 19-88 71.30.46-91 52-72 25 Moon's U. L. 52. 25. 53-90 29-54 44-50 1. 15-33 60. 29-19 47. 44-23 o-oo 90.10.51-73 90. 27. 24-26 5-2-59 26 Moon's U. L. 57.37.51-00 29-75 45-50 1.31-78 60. 67-93 51.17-64 -0-25 95. 19. 32 57 95. 36. 12-98 52-56 27 Moon's U. L. . . 62. 30. 38-40 29-97 40-50 1. 53-66 61. 9-01 54. 3-44 0-38 100. 9.55-81 100. 26. 39-26 52-54 30 Moon's U. L. . . 71.25.34-80 29-54 43-50 2.51-37 59. 48-07 56. 31-37 0-68 109. 3.24-29 109. 19. 45-55 52-45 May 2 Moon's U. L. .. 70.43.41-70 29-67 41-50 2.46-25 57. 54-70 54. 30-39 -0-65 108. 23. 26-96 108.39. 17-14 52-40 3 Moon's U. L. 68. 38. 32-70 29-88 41-50 2. 29-98 56. 56-87 52. 52-48 0-56 106. 19.39-33 106. 35. 13-66 52-37 20 Moon's U. L. . . 41. 8. 2-70 29-70 57-50 0. 49-60 58. :i-i> 37. 58-55 + 0-41 79. 2.18-84 79. 18.11-31 51-95 23 Moon's U. L. . . 55. 24. 42-80 29-75 59-50 1.22-02 59.51-74 49. 4-96 0-16 93. 8.26-98 93. 24. 49-24 51-88 24 Moon's U. L. . . 60. 19. 21-60 29-67 56-50 1. 39-48 60. 15-61 52. 9-87 0-27 98. 0. 19-12 98. 16. 47-93 51-87 31 Moon's TJ. L. 67. 11.53-70 30-03 46-51 2. 18-90 57. 0-43 5-2.23-17 0-54 104. 53. 18-32 105. 8. 53'63 51-71 June 5 Moon's U. L. . . 47.37. 2-40 30-06 55-50 1. 3-21 54.11-86 39. 50-ofa + 0-16 85.29.41-07 85.44.30-16 51-63 PJ t Moon's U. L. . . 40. 2.58-50 29-80 58-50 0. 47-81 54. 14-25 34. 42-05 + 0-45 78. 0.29-21 78. 15. 18-96 51-59 20 Moon's U. L. . . 58.31.25-60 30-22 68-50 1.32-12 69. 25-39 50. 29-24 -0-27 96. 13. 56-06 96. 30. 11-10 51-45 21 Moon's U. L. . . 63. 3. 4-60 30-22 72-50 1.49-90 59. 36-54 52.57-16 0-40 100. 43. 25-62 100. 59. 43-72 51-44 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90- p = 38. 31'. 26" 70: q = 10" "62. ' SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (153) Year, Month, find Day. Name of Ohject. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tahular Horizontal Equatoreal Parallax. Parallax. Interval at wliidi Observa- tion was made before or alter the bright Limb passed tin- Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P. D. ofU. L.orL. L., at Transit of 1 L. or 2 L. Geocentric N. P.O. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Eolij.tic. 23. 27'. 1700. June 23 Moon's U. L. . . O ' // 69. 47. 18-40 29-87 60-5 / n 2. 32-98 / // 59. 33-33 ' a 55. 43-25 t // 0-61 O 1 II 107. 25. 37-40 o r a 107.41.54-62 II 51-44 24 Moon's U. L. . . 71.27.10-90 29-72 57-5 2. 47-74 59. 16-20 56. 1-76 0-68 109. 5.2037 109.21.38-91 51-43 27 Moon's U. L. . . 68. 37. 52-50 29-93 47-5 2. 28-28 57. 30-37 53. 23-33 -0-56 106. 18. 26-57 106. 34. 10-08 51-42 28 Moon's U. L. . . 65. 35. 22-20 29-94 48-5 2. 7-8G 56. 45 88 51.31-28 0-52 103. 17. 27-40 103. 32. 58-72 51-41 July 2 Moon's U. L. . . 49. 27. 15-80 29-56 53-5 1. 6-56 54. 28-38 41. 12-21 +0-11 87. 18. 36-46 87. 33. 30-08 51-42 19 Moon's U. L. 65. 34. 53-10 29-91 67-5 2. 2-86 59. 14-48 53. 45-92 0-52 103.14.38-65 103.30.50-70 51-50 20 Moon's U. L. . . 68. 45. 56-20 29-58 62-5 2. 23-10 59. 3-36 54. 52-66 -0-57 106. 24. 55-77 106.41. 4-77 51-50 31 Moon's U. L. . . 43. 19. 56-80 29-74 47-5 0. 54- 75 54. 12-86 37. 0-49 + 0-29 81. 15. 16-44 81. 30. 5-81 51-64 Aug. 14 Moon's U. L. . . 59. 51. 53-00 30-00 71-5 1. 35-84 59. 54-65 51.37-33 0-27 97. 33. 16-55 97. 49. 39-61 51-82 15 Moon's U. L. . . 64. 11. 18-60 29-82 73-5 1. 53-70 59.38-81 53. 30-86 0-45 101.51. 9-87 102. 7.28-59 51-83 20 Moon's L. L. 70. 43. 12-30 29-90 63-5 2. 40-05 57. 13-27 53. 51-42 0-63 108. 23. 30-35 108. 7.51-53 51-89 21 Moon's L. L. 68.31. 3-40 29-71 68-5 2. 20-23 56. 41-09 52. 35-27 -0-54 106. 12. 17-48 105. 56. 47-47 51-90 23 Moon's L. L. 61.51.34-40 29-88 52-5 1. 47-56 55.39-21 48. 54-28 -0-32 99. 35. 55-83 99. 20. 42-78 51-92 24 Moon's L. L, (") Moon's U. L. (") 57. 50. 54-40 57. 20. 22-10 29-85 51-5 1.31-73 1.29-96 55. 1 1 -02 55. 10-95 46. 32-66 46. 16-61 0-23 0-23 95. 37. 23-97 95. 7. 2-87 95. 22. 18-66 95.22. 8-16 51-93 27 Moon's U. L. . . 44. 59. 37-90 29-77 57-5 0. 56-90 54. 11-44 38. 7-23 + 0-27 82. 53. 53-23 83. 8. 42-20 51-97 29 Moon's U. L. . . 38. 6. 10-70 29'9J) 50-5 0. 45-62 54. 6-87 33. 11-64 + 0-54 76. 5. 9-37 76. 19. 57-10 51-98 31 Moon's U. L. . . 33. 35. 18-20 29-82 60-5 0. 37-66 54. 41-92 30. 3-44 -J-0-63 71.37.16-40 71. 52. 13-73 52-00 Sep. 2 Moon's U. L. . . 32. 29. 36-40 29-29 50-5 0. 36-20 55. 58-46 29. 51-70 + 0-69 70. 31. 44-75 70.47. 3-07 52-02 3 Moon's L. L. 34. 0. 42-00 29-52 49-5 0. 38-73 56. 49-42 31. 34-55 + 0-62 72. 1. 10-22 71. 45. 37-93 52-02 16 Moon's L. L. 71. 0. 16-80 30-10 55-5 2. 46-35 57. 26-38 54. 9-44 0-63 108.40.23-18 108. 24. 40-76 52-06 17 Moon's L. L. 69. 7.43-10 30-11 52-5 2.31-44 56.45-18 52. 52-32 0-56 106. 48. 51-43 106. 33. 20-31 52-05 18 Moon's L. L. 66. 23. 45-20 29-92 57-5 2. 10-22 56. 8-18 51. 16-65 0-54 104. 6. 7-52 103. 50. 46-54 52-05 20 Moon's L. L. 59.11.31-00 29-62 50-5 1.36-11 55. 7-10 47. 10-01 0-27 96. 57. 24-82 96. 42. 20-58 52-04 21 Moon's L. L. 55. 7.25-80 30-04 45-5 1.24-33 54. 43-22 44. 42-75 0-11 92. 55. 34-51 92. 40. 36-82 52-03 25 Moon's U. L. . . 39. 18. 14-00 30-27 47-5 0. 48-36 53. 57-28 33. 58-76 -r-0'43 77. 16. 28-39 77.31. 13-49 52-01 27 Moon's U. L. . . 34. 20. ia-40 30-05 40-5 0. 40-66 54. 14-22 30. 22-70 + 0-61 72. 21. 52-45 72. 36. 42-19 51-99 28 Moon's U. L. . . 32. 59. 37-60 30-00 44-5 0. 38-26 54. 36-06 29.31-81 + 0-68 71. 2. 7-98 71.17. 3-70 51-98 The Moon's U. L. or L. L. was usually observed when the hright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. I), is formed by adding Olnfsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" -70 : q = 10" -2. (*) Observed at Transit of 1 L. Correction applied for defective illumination, + 2' "99. (") Observed at Transit of 2 L. GREENWICH LUNAR RBDUCTIONS. (X) (154) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax, Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U.L.or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1790. Sep. 30 Moon's U. L. . . / " 33. 6. 16-60 in. 29-94 o 42-5 / // 0. 38-51 / // 55. 48-67 ' n 30. 16-51 // // + 0-66 / // 71. 8. 2-53 " 71.23.18-16 a 51-96 Oct. 13 Moon's L. L. 71. 19. 7"20 29-73 51-5 2. 48-60 58. 25-26 55.11-20 0-66 108. 58. 14-09 108.42.15-53 51-77 15 Moon's L. L. 67. 14. 27-90 29-97 54-5 2. 16-64 56. 38-47 52. 4-19 0-54 104.56. 9-25 104. 40. 39-96 51-73 16 Moon's L. L. 64. 1.59-90 30-30 46-5 2. 1-18 55. 53-98 50. 5-43 46 after + 6-57 0-02 101.45.31-06 101.30.13-97 51-71 17 Moon's L. L. 60. 20. 59-80 29-86 50-5 1. 41-47 55. 17-01 47. 52-37 0-27 98. 6.16-82 97.51. 9-87 51-69 18 Moon's L. L. 56. 22. 41 -60 29-91 48-5 1.27-45 54. 47-53 45. 26-90 0-18 94. 10. 9-44 93. 55. 10-57 51-67 19 Moon's L. L. 52.17.25-40 30-08 40-5 1. 16-95 54. 25-04 42. 52-07 o-oo 90. 7.17-00 89. 52. 24-30 51-64 20 Moon's L. L. 48. 14.50-00 29-82 51-5 1. 4-63 54. 9-20 40. 12-72 + 0-18 86. 7. 8-07 85.52. 19-71 51-62 21 Moon's L. L. 44. 23. 47-20 29-70 52-5 0.56-16 53. 59-39 37. 34-84 +0-27 82. 18. 34-07 82. 3.48-39 51-60 22 Moon's L. L. (") 40.53. 4-60 29-63 56-5 0.49-16 53. 55-50 35. 6-06 -t-0-47 78.50.12-81 78. 35. 28-20 51-58 23 Moon's U. L. . . 37.22.11-50 29-58 49-5 0. 43 92 53. 56-96 32. 32-77 + 0-54 75.21.47-21 75. 36. 32-22 51-55 25 Moon's U. L. . . 33. 22. 26-90 29-76 46-5 0. 38-35 54. 18-08 29.40-18 + 0-61 71.24.48-99 71.39.39-79 51-60 Nor. 13 Moon's L. L. 61.42. 5-90 30-08 43-5 1. 49-58 55. 58-26 49. 6-64 0-31 99. 26. 16-97 99. 10. 58-70 51-03 15 Moon's L. L. . . 53. 40. 12-80 30-11 36-5 1.21-65 54. 42-73 43. 53-73 0-05 91.29. 7-64 91.14. 10-08 50-98 17 Moon's L. L. 45. 39. 44-20 29-72 36-5 I. 0-71 54. 4-99 38. 29-50 -i-0-27 83.33.41-19 83. 18. 53-98 50-93 19 Moon's L. L. 38.49. 7-70 29-01 38-5 0.46-41 53. 59-25 33. 38-78 +0-52 76.47.40-12 76. 32. 54-48 50-88 23 Moon's U. L. . . 32. 36. 28-30 29-68 38-5 0. 37-77 54.57-19 29. 24-58 + 0-68 70.39. 5-35 70.54. 6-87 50-78 26 Moon's L. L. 38. 33. 44-80 29-97 35-5 0.47-81 56. 30-73 35. 1-36 + 0-54 76. 30. 56-01 76. 15. 28-84 50-71 Dec. 12 Moon's L. L. 55. 24. 54-30 29-97 395 1.26-12 55. 24-47 45. 26-12 0-14 93. 12.21-45 92. 57. 12-46 50-46 15 Moon's L. L. 43. 25. 23-30 29-48 38-5 0. 55-46 54. 8-55 37. 1-42 + 0-32 81.20.42-76 81. 5.54-58 50-41 18 Moon's L. L. 34.55.56-10 29-51 33-5 0. 41-43 54.21-06 30. 55-34 + 0-60 72. 57. 6-38 72. 42. 14-76 50-40 23 Moon's L. L. 37. 28. 33-30 30-03 34-5 0.46-17 56. 28-59 34. 9-36 + 0-54 75. 26. 34-68 75.11. 8-10 50-37 25 Moon's L. L. 44. 44. 10-20 30-09 31-5 1. 0-14 57. 30-67 40. 16-54 + 0-27 82. 36. 19-40 82. 20. 35-80 60-36 28 1791. Jan. 13 Moon's L. L. Moon's L. L. 58. 32. 0-60 38. 26. 24-50 30-07 29-33 28-5 42-5 1. 39-56 0. 45-91 69. 2-55 54. 10-33 50. 10-40 33. 28-88 -0-27 + 0-54 96.14.57-35 76.25. 6-28 95. 58. 48-56 76. 10. 17-60 50-36 50-43 17 Moon's L. L. 33.15.22-10 29-53 37-5 0. 38-60 55. 30-36 30. 14-05 + 0-68 71. 17.10-62 71. 2. 0-01 50-48 18 Moon's L. L. 34. 18. 52-90 28-60 40-5 0. 38-66 56. 5-13 31. 24-66 + 0-63 72.19.31-01 72. 4.10-86 50-50 j The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. 1". D. is formed by adding Olnfscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31 '.26" -70 -. q = 10" "62. (") Uncertain to 3" ; being darkened by the Eclipse. SECT. II. INVESTIGATION OF MOON'S NORTH POLAH DISTANCE. (155) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at wliicb Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- I ture of Path. Geocentric N.P.D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1791. Jan. 19 Moon's L. L. o / t 36. 23. 18-00 in. 28-60 39-5 / # 0.41-83 / it 56.41-32 / // 33. 25-38 H // + 0-54 o / // 74.21.58-83 o / // 74. 6.28-76 50-50 21 Moon's L. L. 43. 10. 47-40 29'61 37-5 0. 55-35 57. 48-32 39. 20-98 +0-33 81. 3.48-15 80.47.59-72 50-53 23 Moon's L. L. 52. 1 1. 57-40 30-24 32-5 1. 18-42 58. 37-73 46. 7-72 -1-0-02 89. 58. 34-82 89. 42. 32-83 50-56 Feb. 9 Moon's L. L. . . 39. 55. 57-40 30-10 43-5 0. 49-58 54. 15-26 34. 37-74 31 after + 3-84 + 0-11 77. 53. 37-66 77. 38. 47-63 50-80 11 Moon's L. L. 35. 2.47-40 29-60 44-5 0. 40-78 54. 20-08 31. 0-09 + 0-60 73. 3.52-30 72.49. 0-95 50-83 12 Moon's L. L. 33.44. 0-10 30-07 38-5 0. 39-94 54. 39-27 30. 9-01 + 0-65 71. 45. 55-06 71. 30. 58-45 50-85 15 Moon's U. L. . . 34. 54. 44-30 29-65 39-5 0. 41-07 56. 29-68 32. 7-44 -I-0-59 72. 54. 42-10 73. 10. 8-98 50-89 16 Moon's TJ. L. . . 37. 27. 30-10 30-11 35-5 0.46-17 57. 15-57 34. 36-84 + 0-52 75.25. 3-98 75. 40. 43-43 50-91 19 Moon's L. L. 50. 14. 28-60 29-26 33-5 1. 10-61 59.11-53 45.18-08 40-09 88. 1.47-56 87. 45. 36-32 50-95 23 Moon's L. L. . . 67.28. 11-50 29-65 32-5 2.23-10 59. 29-67 54. 47-11 0-54 105. 7. 16-42 104 61. 0-20 50-99 Mar. 9 Moon's L. L. 38.23. 5-50 30-46 44-5 0. 47-39 54. 9-76 33.26-10 6 after + 0-66 + 0-54 76.21.52-19 76. 7. 3-67 51-09 12 Moon's L. L. 33.34. 2-50 30-Ofi 46-5 0. 39-02 54. 36-28 29. 59-45 + 0-68 71.36. 6-10 71.21.10-31 51-09 13 Moon's L. L. 33. 40. 41-20 30-02 44-5 0. 39-30 55. 6-71 30. 21-49 + 0-68 71.42.23-06 71.27.18-93 51-10 14 Moon's U. L. . . 34. 14. 1-70 30-15 47-5 0. 40-05 55. 47-02 31. 10-54 + 0-61 72. 14. 55-28 72. 30. 10-46 51-09 15 Moon's U. L. . . 36. 15. 36-50 30-30 45-5 0. 43-57 56. 35-65 33.15-85 4-0-54 74. 14. 28-57 74. 29. 57-08 51-09 10 Moon's TJ. L. . . 39. 12.37-50 30-30 45-5 0. 48-45 57. 29-27 36. 7-92 + 0-48 77. 8.42-85 77. 24. 26-06 51-09 17 Moon's U. L. . . 42. 58. 42-30 30-20 40-5 0. 55-71 58. 23-90 39. 36-07 + 0-31 80. 51. 27-26 81. 7.25-45 51-09 18 Moon's U. L. . . 47. 23. 14-70 30-15 41-5 1. 4-73 59. 14-57 43. 23-46 + 0-21 85. 12.21-99 85. 28. 34-07 51-08 19 Moon's U. L. 52. 11. 24-70 29-70 42-5 1. 15-39 59. 55-85 47. 8-64 o-oo 89.56.58-14 90. 13. 21-53 51-09 21 Moon's L. L. 62. 12. 27-50 29-51 35-5 1.51-67 60. 34-92 53. 24-54 0-34 99. 62. 22-81 99. 35. 48-71 51-08 23 Moon's L. L. 69. 4.37-90 30-33 35-5 2. 37-64 60. 9-40 56. 1-45 0-56 106.42.43-28 106.26.16-17 51-06 24 Moon's L. L. 70. 49. 23-60 30-32 35-5 2. 52-95 59. 38-00 56. 9-85 0-63 108.27.36-13 108.11.17-63 51-05 Apr. 12 Moon's U. L. . . 37.49.29-10 29-85 51-5 0. 44-87 56. 27'91 34. 25-18 -t-0-54 75. 47. 13-42 76. 2.39-81 50-80 14 Moon's U. L. . . 45. 8.58-30 29-91 51-5 0.58-18 58. 22-86 41. 10-83 + 0-27 83. 0.11-33 83. 16. 9'23 50-76 15 Moon's U. L. . . 49. 41. 59-00 29-95 51-5 1. 8-31 59.21-18 45. 3-00 + 0-10 87. 29. 30-65 87. 45. 44-54 50-74 16 Moon's U. L. . . 54.32. 5'80 29-94 47-5 1.21-90 60. 12-44 48. 50-13 0-11 92.16. 4-58 92. 32. 32-52 50-71 18 Moon's L. L. 64. 16. 21-20 29-60 47-5 1. 59-38 61. 10-96 54. 56-15 0-43 101. 54. 52-89 101.38. 8-91 50-68 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" -70 : q = 10" "62. (X) 2 (156) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro meter Ther mo- meter Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. I Correc- tion for Curva- ture of Path. Geocentric N.P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1791. Apr. IS Moon's L. L. O 1 II 07. 49. 33-70 in. 29-4 49-5 / // 2. 19-33 / a 61. 10-7-2 / // 56. 28-85 II i 0-54 O I 105.26.53-17 O 1 ii 105. 10. 9-26 1 50-66 21 Moon's U. L. . . 68. 49. 44-80 29- 1" 42-5 2. 27-25 58. 34-14 54. 26-95 0-57 106. 29. 14-24 106. 45. 15-24 50-57 May 13 Moon's U. L. . . 52. 6.54-80 29-63 52-5 1. 13-49 59. 5-70 46. 26-32 o-oo 89.53. 8-65 90. 9. 18-29 50-12 14 Moon's U. L. . . 56. 51. 59-40 30-00 53-5 1. 28-43 60. 0-51 50. 3-25 0-22 94. 34. 51-91 94.51. 16-58 50-09 15 Moon's U. L. . . 61.27. 6-90 29'9o 52-5 1.46-0-- 60. 46-61 53. 10-95 0-30 99. 7. 9-99 99. 23. 47-02 50-07 17 Moon's U. L. ( a ) !C8. 35. 28-80 29-68 49-5 2. 26-14 61.24-30 56. 59-56 0-54 106. 12. 24-50 106.29.12-13 50-02 21 Moon's U. L. . . 67.32. 9-10 29-8C 48-5 2. 19-53 58. 56-30 54. 17-71 0-54 105.11.39-80 105.27.46-93 49-92 23 Moon's U. L. . . CO. 42. 57-20 29-74 45-5 1. 43-63 57. 0-05 49.32-19 0-30 98. 26. 36-60 98.42. 11-80 49-89 25 Moon's U.L. (") 52. 32. 42-20 30-17 50-5 1.16-30 55. 25-53 43. 48-00 0-02 00.21.36-05 90. 36. 45-94 49-85 June 6 Moon's U. L. . . 38. 28. 30-80 30-03 76-5 0. 43-90 55. 43-00 34. 27-65 + 0-51 70.26. 11-83 76.41.2591 49-67 7 Moon's U. L. . . 41.50. 6-40 30-0" 76-5 0. 49-57 56. 21-20 37. 22-94 + 0-36 79. 44. 58-20 80. 0.22-75 49-66 9 Moon's U. L. . . 50. 8. 10-80 29-8* 63-5 1. 7-53 57. 53-35 44. 13-99 + 0-09 87.56.30-75 88. 12. 20-56 49-63 11 Moon's LT. L. . . 59.17. 4-20 29-64 48-5 1.3692 59. 33-79 51. 0-98 -0-27 96.59. 7-86 97.15.25-21 49-61 12 Moon's U. L. . . 03.31.27-60 29-64 45-5 1.56-17 60. 17-46 53. 47-03 0-42 101. 11. 5-08 101.27.34-40 49-60 13 Moon's U. L. . . 67. 5.23-40 29-69 42-5 2. 17-75 60. 49-60 55.51-07 -0-54 104. 43. 18-94 104. 59. 57-07 19-59 18 Moon's U. L. . . 66. 8. 5-90 29-03 48-5 2. 9-77 59. 7-47 53. 53-08 0-54 103. 47. 50-63 104. 4. 0-82 49-54 20 Moon's U. L. . . 58. 33. 5-80 29-72 45-5 1.35-02 57.11-65 48. 30-50 0-27 96. 17.31-91 96. 33. 10-29 49-53 21 Moon's U. L. . . 54.19.38-10 29-78 46-6 1.21-01 56. 17-87 45.32-71 0-09 92. 6. 53-40 92.22. 17-04 49-54 July 6 Moon's U. L. . . 48. 32. 13-60 29-89 64-5 1. 3-75 57. 16-02 42. 42-85 + 0-16 80. 22. 0-69 86.37.40-27 49-55 14 Moon's U. L. . . 69. 54. 29-60 30-09 55-5 2. 36-68 60. 9-23 50. 19-47 0-62 107. 32. 10-09 107.48.43-15 4961 15 Moon's U. L. ( c ) 67. 43. 35-80 30-02 53-5 2. 20-42 59. 38-58 55. 1-21 0-54 105. 22. 23-99 105. 38. 42-65 49-61 17 Moon's TJ. L. . . 60. 40. 42-00 29-83 56-5 1.41-47 58. 5-79 50. 28-18 -0-29 98. 23. 23-25 98.39. 16-47 49-64 18 Moon's U. L. . . 56.27. 6-90 29-65 56-5 1. 25-52 57. 12-85 47. 29-08 0-20 94. 12. 30-02 94.28. 8-73 49-64 20 Moon's U. L. . . 47. 56. 23-20 29-86 55-5 1. 3-50 55. 36-65 41. 5-53 + 0-18 85. 47. 47-27 86. 2. 59-61 49-67 Aug. 7 VIoon's U. L. . . 67.23. 3-00 29-91 73-5 2. 12-17 59. 19-85 54. 35-72 0-64 105. 2. 8-37 105. 18.21-90 49-93 9 Moon's U. L. . . 70.37. 0-40 29-97 58-5 2.41-14 59. 37-97 50. 5-24 0-65 108. 15. 5-68 108.31.24-17 49-96 11 Moon's L. L. 69. 19. 58-40 29-76 61-5 2. 28-53 59. 20-08 55.21-14 0-57 106. 58. 35-02 106.42.21-43 49-99 The Moon's U. L. or L. L. was usually observed when the br'.ght 1 L. or 2 L. was passing the Meridian. The Geocentric N. I'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. I'. I), is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 -p = 38. 31'. 26'' -70: q = 10" "62. () Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 7'' "45. (") The Micrometer Circle was loose when this observation was read off. ( c ) Observed at Transit of 2 L. Increase of N. P. D. during passage of Semidiameter = 7'''89. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (157) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Squatoreal Parallax. Parallax. Interval at which Observa- tion was made wfore or after the bright Limb passed the- Mvridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU.L. or L.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1791. o / a in. , , , ,, , . a o / // o / a II Aug. 15 Moon's U. L. . . 54. 16. 12-50 29-75 65-5 1.17-71 56. 56-48 46. 1-02 0-09 92. 2.55-28 92. 18. 29-50 50-06 17 Moon's U. L. . . 45.52.32-10 30-12 54-5 0. 59-72 55. 32-51 39. 40-32 +0-27 83.45.17-31 84. 0.28-50 50-09 18 Moon's U. L. . . 42. 9.34-20 30-28 50-5 0.53-18 54. 58 64 36. 42-08 + 0-36 80. 5.10-53 80. 20. 12-45 50-11 19 Moon's U. L. . . 38. 57. 18-80 30-41 48-5 0. 47-89 54. 33-34 34. 6-01 + 0-50 76. 55. 25-48 77. 10. 20-40 50-12 21 Moon's U. L. . . 34. 30. 38-30 30-06 58-5 0. 39-46 54. 14-16 30.31-61 + 0-60 72. 32. 10-26 72. 46. 59-98 50-15 22 Moon's U. L. . . 33. 27. 1-90 29-92 60-5 0. 37-59 54.21-10 29. 45-45 + 0-64 71.29.18-01 71.44. 9-64 50-16 Sep. 5 Moon's U. L. . . 70. 15.42-10 29-91 61-5 2. 36-80 59. 13-15 55. 34-46 0-63 107. 54. 13-77 108. 10. 25-46 50-32 9 Moon's L. L. 64. 35. 35-40 29-93 62-5 1. 58-76 58. 3-13 52. 15-94 0-45 102. 16. 46-73 102. 0.54-24 50-34 10 Moon's L. L. 00. 50. 12-60 30-02 59-5 1. 42-15 57. 33-45 30. 4-98 0-27 98. 33. 17-78 98. 17. 33-42 50-34 11 Moon's L. L. . . 56.41.27-80 30-08 58-5 1. 27-19 56. 59-86 47. 26-97 0-18 94. 26. 55-36 94.11.20-21 50-34 12 Moon's U. L. . . 51. 52. 56-70 30-07 53-5 1.13-81 56. 24-44 44. 11-12 o-oo 89. 41. 26-03 89. 56. 51-47 50-35 13 Moon's U. L. . . 47. 41. 53-10 30-13 55-5 1. 3-53 55. 49-31 41. 5-38 + 0-18 85.33. 17-31 85.48.33-12 50-36 14 Moon's U. L. . . 43.48. 0-20 30-17 52-5 0. 55-88 55. 1631 38. 3-46 + 0-27 81.42. 18-06 81.57.24-82 50-35 15 Moon's U. L. 40.21. 10-40 30-22 50-5 0. 49-80 54. 48-34 35. 17-19 + 0-43 78. 18. 7-99 78. 33. 7-09 50-36 17 Moon's U. L. . . 35. 18. 58-70 29-75 49-5 0. 40-98 54. 14-65 31. 9-44 + 0-56 73. 19. 54-45 73. 34. 44-31 50-36 18 Moon's U. L. . 33.55. 4-10 29-81 42-5 0. 39-54 54. 12-15 30. 2-66 + 0-63 71.57. 5-02 72. 11.54-19 50-36 19 Moon's U. L. . . 33.21.35-00 29-95 38-5 0. 39-22 54. 20-48 29. 40-82 + 0-61 71.23.57-32 71. 38. 48-78 50-36 Oct. 7 Moon's L. L. 62. 7. 13-90 29-65 49-5 1.48-57 57. 18-74 50. 29-12 0-34 99.50. 1-52 99.34.21-20 50-24 10 Moon's L. L. 49. 48. 40-80 29-13 51-5 1. 6-70 55. 46-31 42. 24-83 + 0-11 87. 38. 49-04 87. 23. 34-05 50-19 11 Moon's L. L. ( a ) 45. 48. 54-40 29-47 41-5 0. 59-89 55. 18-12 39. 27-72 + 0-27 83.41.52-64 83. 26. 45-38 50-17 Moon's U. L. (") 45. 18. 0-70 0. 58-83 55. 18-02 39. 6-02 + 0-27 83. 11. 18-62 83. 26. 25-85 13 Moon's U. L. . . 38.33.41-10 29-24 46-5 0. 45-59 54.31-27 33.47-15 + 0-51 76.32. 4-28 76. 40. 58-09 50-14 14 Moon's U. L. . . 36. 5.43-60 29-24 43-5 0.41-96 54. 15-35 31.45-81 + 0-54 74. 6. 4-08 74.20.54-13 50-12 15 Moon's U. L. . . 34. 22. 42-80 29-26 37-5 0. 39-90 54. 6-32 30.21-04 + 0-61 72. 24. 25-70 72. 39. 13-33 50-11 16 Moon's U. L. . . 33.29. 3-50 29-42 38-5 0. 38-71 54. 5-67 29. 38-62 + 0-65 71.31.27-57 71. 46. 14-97 50-09 IS Moon's L. L. 34.47.39-10 29-32 49-5 0. 39-61 54. 33-76 30. 56-07 + 0-61 72. 48. 40-81 72.33.51-71 50-05 18 Moon's L. L. 36. 29. 40-30 28-85 53-5 0.41-16 55. 3-73 32. 32-75 + 0-54 74.29.13-11 74.14. 9-80 50-02 20 Moon's L. L. 39. 0.24-50 28-77 51-5 0.45-11 55. 43-72 34. 52-42 + 0-51 70. 57. 42-00 76. 42. 27-72 50-01 The Moon's U. L. or L. L. was usually observed when the >right 1 L. or 2 L. was passing the Meridian. The Geocentric N. F. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olufscn's HIP p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" -/O: q = 10'' -<3. (*) Observed at Transit of 1 L. Correction applied for defective illumination, + 0*'27. ( b ) Observed at Transit of 2 L. (158) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal I'arallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L.orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1791. Oct. 22 Moon's L. L. O ' // 46. 8. 19-70 29-54 36-5 / // 1. 1-35 / // 57. 26-97 / // 41. 13-23 ' * // +0-27 O I 1' 83. 59. 33-68 O / II 83.43.51-10 // 49-96 Nor. 4 Moon's L. L. 59. 27. 26-40 29-55 38-5 1. 39-33 56. 54-67 48.50-18 0-27 97. 11.43-31 96.56. 9-57 49-69 5 Moon's L. L. 55.21. 14-80 29-78 33-5 1 . 26-46 56. 16-44 46. 6-69 -0-12 93. 8. 1-73 92. 52. 38-48 49-67 6 Moon's L. L. 51.11.20-30 30-07 30-5 1. 15-53 55. 42-70 43.13-37 +0-07 89. 0. 49-05 88. 45. 35-04 49-64 7 Moon's L. L. 47. 8.53-20 30-10 32-5 1. 5-30 55. 13-74 40. 17-82 + 0-24 85. 1. 6-70 84.46. 0-65 49-62 8 Moon's L. L. 43. 23. 49-70 29-95 37-5 0. 56-42 54. 49-37 37. 28-26 +0-31 81.18.43-27 81. 3.43-90 49-60 11 Moon's L. L. 35. 20. 43-10 29-63 41-5 0. 41-53 54. 3-76 31. 4-62 + 0-58 73. 21. 44-25 73. 6.57-38 49-53 14 Moon's L. L. 34. 15. 57-40 29-19 38-5 0. 39-55 54. 10-46 30. 18-16 +0-63 72.17.42-89 72. 2.54-18 49-46 16 Moon's L. L. 37. 47- 55-90 29-08 38-5 0. 44-85 54. 55-92 33. 28-02 4-0-54 75. 46. 37-36 75.31.36-19 49-42 21 Moon's L. L. . . 57. 15. 27-60 29-80 41-5 1.31-40 59. 11-95 49.36-17 0-21 94. 58. 50-24 94. 42. 38-88 49-31 Dec. 2 Moon's L. L. 56. 52. 12-20 29-23 39-5 1. 28-70 56. 55-73 47. 29-40 - 0-18 94. 37. 38-88 94.22. 4-86 49-12 4 Moon's L. L. 48.31.25-30 29-38 35-5 1. 6-46 55. 28-29 41. 22-14 4-0-18 86. 22. 35-83 86. 7.25-79 49-08 5 Moon's L. L. 44. 39. 13-80 29-56 32-5 0. 58-79 54.56-18 38. 24-97 20 before 2-94 4-0-48 82. 33. 10-48 82. 18. 9-24 49-07 6 Moon's L. L. 41. 10. 44-90 29-58 33-5 0. 51-99 54. 31-75 35. 42-40 4-0-41 79. 7. 19-60 78. 52. 25-05 49-05 7 Moon's L. L. . . 38. 14. 8-50 29-24 34-5 0. 46-20 54. 14-32 33. 22-25 4-0-54 76.12.57-16 75.58. 7-39 49-04 8 Moon's L. L. 35. 56. 32-60 29-35 32-5 0. 42-86 54. 3-18 31.31-77 4-0-55 73.57. 8-00 73.42.21-29 49-03 9 Moon's L. L. 34. 24. 17-60 29-27 26-5 0. 40-89 53. 57-96 30. 17-67 4-0-63 72.26. 4-95 72. 11.19-66 49-03 10 Moon's L. L. 33. 42. 13-40 29-24 30-5 0. 39-45 53. 58 25 29. 44-98 4-0-66 71.44.31-90 71.29.46-54 49-01 11 Moon's L. L. 33. 52. 45-70 29-72 22-5 0. 41-06 54. 3-95 29.56-41 4-0-61 71.54.54-36 71. 40. 7-43 49-00 12 Moon's L. L. 34. 55. 51-60 29-09 37-5 0. 40-49 54. 15-59 30.52-15 4-0-60 72.57. 4-13 72.42.14-01 48-99 13 Moon's L. L. 36. 48. 32-90 29-04 32-5 0. 43-77 54. 33-37 32. 29-28 + 0-54 74.48.11-85 74. 33. 16-86 48-99 15 Moon's L. L. 42. 42. 17-80 29-88 26-5 0. 56-23 55. 29-71 37. 26-40 4-0-34 80.37.12-94 80.22. 2-51 48'96 29 Moon's L. L. 58.52. 8-40 30-03 36-5 1. 39'05 58. 12-27 49. 38-32 0-27 96. 35. 36-78 96.19.41-79 48-95 31 1792. Jan. 7 Moon's L. L. Moon's L. L. 50. 14. 28-40 33. 43. 52-60 29-36 29-85 45-5 32-5 1. 9-10 0.40-15 56. 18-44 54. 5-70 43. 5-60 29. 50-40 4-0-11 4-0-60 88. 3.58-35 71.46. 6-33 87. 48. 34-56 71.31. 18-92 48-96 48-99 8 Moon's L. L. 34. 26. 31-30 29-92 29-5 0.41-59 54. 16-69 30. 29-94 4-0-63 72.28. 7-08 72. 13. 16-66 49-00 10 Moon's L. L. 38.23.10-10 29-15 26-5 0. 47-10 54. 52-85 33. 52-75 4-0-54 76.21. 29-19 76. 6.28-86 49-02 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. U. is formed by adding Olufsen's 90-p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" 70: q = 10" "62. i --"-"'-' SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (159) Year, Month, and Day. 1 Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular lorizontal Equatorcal Parallax. Parallax. Interval at which Observa- tion was made >efore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- ion for Curva- ture of Path. Geocentric N. P. D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1792. Jan. 11 Moon's L. L. O I . 41. 26. 39-60 in. 29-02 o 16-5 / // 0. 53-39 / // 55. 17-31 36. 23-79 // * + 0-40 / 79. 22. 34-34 O ' /' 79. 7.27-31 ff 49-03 12 Moon's L. L. 45. 3. 33-70 29-34 18-5 1. 0-99 55. 45-69 39. 16-48 +0-27 82. 56. 48-88 82. 41. 34-06 49-05 13 Moon's L. L. . . 49. 4.55-90 29-60 17-5 1. 10-97 56. 18-80 42. 21-59 -(-0'16 86. 55. 11-57 86. 39. 47-68 49-05 17 Moon's L. L. 65. 28. 36-00 29-69 31-5 2. 10-71 59. 5-85 53. 35-66 -0-49 103. 8.39-67 102. 52. 29-98 49-12 31 Moon's L. L. 37.53. 9-70 29-39 46-5 0. 44-73 54. 34-34 33. 18-80 +0-54 75.52. 0-28 75.37. 5-02 49-34 Feb. 1 Moon's L. L. 35. 44. 23-60 29-78 45-5 0. 42-01 54. 15-32 31.29-52 +0-60 73.45. 0-42 73. 30. 10-38 49-36 3 Moon's L. L. 33. 50. 22-80 30-02 38-5 0. 40-03 54. 8-14 29. 56-85 + 0-65 71.52.30-03 71.37.41-95 49-39 4 Moon's L. L. 34.11. 0-10 30-12 33-5 0.41-12 54. 18-05 30. 18-54 + 0-63 72. 12. 46-77 71. 57. 55-98 49-41 a Moon's L. L. . . 35.24. 6-50 29-92 32-5 0. 42-83 54. 34-76 31.25-08 + 0-59 73.24.48-51 73. 9.53-14 49-43 12 Moon's L. L. . . 60.21.15-00 30-07 41-5 1.44-11 57. 52-08 50. 6-80 0-27 98. 4.20-23 97. 48. 30-77 49-55 13 Moon's L. L. 64. 9.38-80 30-11 35-5 2. 3-90 58.21-43 52. 20-99 0-43 101.50.50-16 101.34.52-64 49-57 16 Moon's L. L. 70.48. 9-70 30-23 23-5 2. 56-74 59. 36-38 56. 7-92 0-63 108. 26. 27-95 108.10. 9-89 49-63 27 Moon's L. L. 39.11.47-80 29-82 49-5 0. 47-27 55. 10-08 34. 39-90 -r-0-50 77. 9.20-01 76. 54. 14 96 49-78 Mar. 1 Moon's L. L. 34. 6. 24-00 29-43 44-5 0. 39-15 54. 12-86 30. 12-02 + 0-63 72. 8. 15-20 71.53.25-83 49-81 4 Moon's U. L. . . 36. 6. 27-30 28-95 48-5 0.41-14 54. 50-51 32. 6-94 -r-0-54 74. 6.25-83 74.21.25-52 49-83 5 Moon's U. L. . . 38. 35. 18-90 29-49 37-5 0. 46-89 55. 19-67 34. 18-39 + 0-51 76.33.12-14 76. 48. 19-82 49-84 7 Moon's U. L. . . 45.32. 2-20 29-30 34-5 0. 59-83 56. 29-85 40. 7-14 + 0-27 83. 24. 20-64 83. 39. 47-56 49-87 8 Moon's L. L. . . 50. 13. 45-90 29-66 25-5 1. 12-78 57. 6-20 43. 41-74 + 0-09 88. 2. 43-37 87.47. 6-48 49-87 9 Moon's L. L. 54. 35. 50-70 29-90 22-5 1. 26-42 57. 39-96 46. 48-85 0-09 92. 21. 55-32 92. 6. 9-18 49-88 11 Moon's L. L. 62.56. 2-90 30-29 25-5 2. 0-74 58. 33-49 51.58-16 -0-36 100. 37. 33-78 100. 21. 32-96 49-89 12 Moon's L. L. 66. 21.5L-20 30-12 27-5 2. 19-36 58.51-37 53. 44-99 0-52 104. 1.54-33 103. 45. 48-61 49-89 27 Moon's L. L. 35.40. 14-10 29-34 50-5 0. 40-86 54. 38-75 31.39-88 + 0-57 73. 40. 39-37 73. 25. 42-91 49-87 29 Moon's L. L. 34. 1.17-70 29-43 55-5 0.38-16 54. 14-25 30. 8-78 + 0-6" 72. 3. 11-18 71.48.21-43 49-85 30 Moon's U. L. . . 33. 59. 43-80 29-63 48-5 0. 38-93 54.18-11 30. 9-62 + 0-63 72. 1.37-16 72. 16. 27-97 49-84 Apr. 2 Moon's U. L. 40.17.40-30 29-54 44-5 0. 49-19 55. 32-21 35.42-84 + 0-43 78. 14. 11-62 78. 29. 22-74 49-82 6 Moon's U. L. . . 56. 33. 26-60 30-11 42-5 1. 29-73 58. 26-52 48. 34-45 0-20 94.17.49-18 94. 33. 48-09 49-76 8 Moon's L. L. 65. 10. 22-70 29-95 44-5 2. 6-54 59. 27-18 53. 47-04 0-47 102.50. 10-79 102. 33. 55 26 49-73 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N.I'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the liuib which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" '-70 : q = 10" '62. (160J REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter Ther- mo- meter. Refrac- tion. Tabular Hori/ontal Equatorcal Parallax. Parallax. Interval at which Observa- tion was made before or after tlie bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P. D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1792. Apr. 10 Moon's L. L. O t It J70. 8. 8-20 29-85 o 44-5 / // 2.40-94 / // 59. 43-67 / // 56. 0-67 13 after // 0-74 t 0-93 O I // 107.46. 16-74 o / '/ 107. 29. 56-69 // 49-71 11 Moon's U. L. . . 70. 18. 45-00 29-88 46-5 2. 41-97 59. 35-92 55. 56-94 0-63 107. 56. 59-37 108. 13. 17-30 49-69 12 Moon's U. L. . . 69. 45. 38-20 29-85 53-5 2. 34-85 59. 20-50 55. 30-71 0-62. 107.24.11-60 107. 40. 25-32 49-68 26 Moon's U. L. . . 33. 36. 28-30 30-06 57-5 0. 38-22 54. 9-72 29. 46-68 20 after 0-46 + 0-28 71.38.43-02 71.53.31-53 49-43 29 Moon's U. L. . . 38.53. 7-30 30-09 59-5 0. 46-23 54. 56-67 34. 17-45 + 0-49 76.51. 0-85 77. (5. 2-23 49-36 30 Moon's U. L. . . 42. 4. 2-20 29-64 63-5 0. 50-54 55. 32-89 37. 4-56 + 0-36 79. 59. 13-39 80. 14. 24-09 49-34 May 1 Moon's U. L. . . 45.48. 3-00 29-90 48-5 0. 59-86 56.18-19 40. 9-87 + 0-27 83.40.18-79 83.55.42-51 49-33 2 Moon's U. L. . . 49. 57. 17-00 30-10 44-5 1. 10-27 57. 9-61 43. 33-61 + 0-09 87. 46. 20-04 88. 1.57-86 49-31 5 Moon's U. L. . . 62.54. 4-40 30-04 40-5 1. 55-83 59. 40-97 52. 56-78 0-39 100. 34. 31-71 100.50. 51-02 49-25 6 Moon's U. L. . . 66. 25. 14-90 30-03 41-5 2. 15-25 60. 14-12 55. 1-75 0-54 104. 3. 5T14 104. 20. 25-54 49-23 12 Moon's U. L. . . G3. 1. 3-70 30-00 43-5 1. 55-52 58.34-14 52. 0-82 0-38 100. 42. 26-6!) 100. 58. 27-69 49-10 26 Moon's U. L. . . 37.39. 6-40 29-63 64-5 0.43-12 54. 26-09 33. 3-10 + 0-54 75. 38. 11-03 75.53. 4-02 48-85 29 Moon's U. L. 47. 55. 17-90 29-34 57-5 1. 2-10 56. 12-03 41. 30-94 33 after 5-40 + 0-04 85.46. 9-62 86. 1.31-66 48-80 31 Moon's U. L. 56. 30.33-10 29-95 58-5 1. 26-22 58. 2-42 48. 12-77 0-20 94. 15. 13-84 94.31. 6-14 48-77 June 1 Moon's U. L. . . 60. 46. 42-90 29-90 58-5 1.41-71 59. 0-93 51. 19-14 0-30 98. 28. 33-43 98.44.41-77 48-76 3 Moon's U. L. . . 67.48.16-90 30-13 47-5 2. 23 23 60. 37-22 55. 57-21 0-54 105.26.11-91 105. 42. 46-64 48-74 14 Moon's U. L. . . 40. 23. 54-60 30-13 60-5 0. 48-74 55. 10-47 35. 33-44 -t-0-43 78.20.34-89 78. 35. 40-05 48-63 24 Moon's U. L. . . 42.31.36-30 29-73 58-5 0. 52-03 54.51-03 36. 52-61 + 0-33 80.27. 0-99 80.42. 0-82 48-61 28 Moon's U. L. . . 58.43.15-40 30-02 73-5 1.31-31 57. 48-71 49. 13-32 0-27 9G. 27. 1-01 96. 42. 49-55 48-62 July 6 Moon's U. L. 02. 42. 11-50 29-92 54-5 1.51-14 60. 7-35 53. 14-51 0-38 100.22. 16-36 100. 38. 42-91 48-67 24 Moon's U. L. . . 5-2. 5-2. 39-30 29-78 67-5 1. 13-68 56. 7-20 44. 33-37 0-04 90. 40. 40-38 90.56. 7-10 48-89 28 Moon's U. L. . . 67.38. 6-30 29-63 60-5 2. 16-02 59. 17-52 54. 39-59 0-54 105. 17. 11-69 105. 33. 24-58 48-96 Aug. 1 Moon's U. L. . . 67. 54. 22-60 30-10 58-5 2. 20-60 61. 4-61 56. 24-94 0-54 105.31.47-26 105. 48. 29-49 49-03 2 Moon's U. L. . . 64. 45. 20-90 29-95 62-5 1.59-71 60. 47-43 54.48-10 0-47 102.24. 1-02 102. 40. 38-65 49-05 3 Moon's U. L. . . 60. 45. 29-00 29-82 59-5 1.41-15 60. 12-54 52. 20-76 -0-30 98. 26. 17-35 98.42.45-32 49-06 4 Moon's U. L. . . 56. 17. 22-00 30-03 55-5 1.26-26 59. 24-07 49. 13-01 0-18 94. 1. 2-51 94. 17. 17-20 49-09 7 Moon's U.L. .. 43.16.11-90 30-06 53-5 0. 54-54 56. 34-26 38. 34-31 22 after + 3-34 + 0-50 81. 10. 1-04 81.25.29-18 49-14 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" -70: q = 10" '62. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (161) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1792. Aug. 23 Moon's U. L. . . O ' 63.25. 7-20 in. 29-40 Q 66-5 ' H 1.49-92 r a 57. 38-25 / a 51.22-09 * II 0-42 o i n 101. 7. 3-36 o / a 101.22.49-03 II 49-42 27 Moon's L. L. 7.0. 44. 18-90 29-74 58-5 2. 40-97 60. 0-58 50. 29-05 -0-63 108.21.53-54 108. 5.28-85 49-49 28 Moon's L. L. 69. 27. 3ST80 29-90 58-5 2.31-14 60. 20-02 56. 19-69 -0-57 107. 5.14-26 106. 48. 44-24 49-51 30 Moon's L. L. 63. 25. 15-10 29-87 58-5 1. 53-49 60. 15-81 53. 42 82 -0-39 101. 4.54-12 100. 48. 25-26 49-53 Sep. 1 Moon's U. L. . . 54. 3.35-40 29-75 58-5 1. 18-20 59.11-30 47. 43-28 0-09 91. 48. 37-27 92. 4.48-45 49-56 2 Moon's U. L. . . 49. 28. 38-50 29-80 54-5 1. 7-02 58.23-12 44. 10-70 -r-0-11 87. 17. 1-13 87.32.59-11 49-57 4 Moon's U. L. . . 41. 21. 10-20 29-55 50-5 0. 50-45 56. 38-50 37. 13-02 -r-0'38 79. 16. 12-73 79.31.42-03 49-60 2(5 Moon's L. L. 64. 59. 18-00 30-00 46-5 2. 5-19 59. 34-43 53. 48-72 0-48 102.39. 3-02 102. 22. 45-49 49-69 28 Moon's L. L. 56.46. 9-50 29-44 50-5 1.26-99 59. 4-33 49. 13-24 -0-18 94.29.50-60 94. 13. 41-33 49-67 Oct. 23 Moon's L. L. 66. 9. 12-00 30-09 48-5 2. 11-89 59. 4-20 53.51-38 0-52 103.49. 1-23 103. 32. 51-99 49-38 24 Moon's L. L. 62. 36. 29-40 30-30 40-5 1. 55-39 58.51-21 52. 4-62 0-36 100.17.48-41 100. 1.42-73 4937 27 Moon's L. L. 49. 35. 3-20 29-81 50-5 1. 7-85 57. 43-33 43. 44-93 + 0-13 87. 23. 52-47 87. 8. 5-41 49-31 28 Moon's L. L. 45. 19. 50-80 29-80 51-5 0. 58-33 57.11-84 40. 28-52 + 0-27 83.11.46-32 82.56. 7-88 49-29 29 Moon's L. L. (") 41.30.49-30 29-86 46-5 0. 51-69 56. 37-53 37. 19-6(5 + 0-40 79. 25. 46-48 79. 10. 17-45 49-27 31 Moon's U. L. . . 35.26. 10-50 29-66 46-5 0.41-29 55. 28-49 31.57-54 + 0-52 73. 26. 18-44 73.41.28-54 49-23 Nov. 1 Moon's U. L. . . 33. 55. 40-80 29-70 45-5 0. 39-17 54. 58-55 30. 28-86 f 0-63 71.57.15-15 72. 12. 17-04 49-21 3 Moon's L. L. 34. 8.59-90 30-03 46-5 0. 39-85 54.18-14 30. 17-01 + 0-63 72.10.46-82 71.55.56-00 49-17 4 Moon's L. L. .. 35. 19. 7'60 30-10 39-5 0. 42-33 54. 11-18 31. 767 + 0-59 73.20. 6-51 73. 5.17-60 49-15 22 Moon's L. L. 55. 36. 36-10 29-44 40-5 1.25-03 58. 0-70 47. 40-93 -0-14 93.21.47-38 93. 5.55-56 48-82 24 Moon's L. L. 46. 51.50-20 30-16 41-5 1. 3-57 56.57-10 41.21-63 + 0-26 84. 42. 58-12 84. 27. 23-73 48-78 25 Moon's L. L. 42.54. 21-30 29-89 41-5 0. 54-89 56.26-16 38. 13-19 + 0-34 80. 48. 28-34 80.33. 2-42 48-76 Dec. 7 Moon's L. L. 53. 0.35-50 30-07 31-5 1.20-46 56. 9-27 44. 39-93 0-02 90. 48. 42-86 90.33.21-57 48-61 19 Moon's L. L. 57. 16. 15-00 29-90 45-5 1. 30-99 58. 44-34 49. 13-47 0-21 94. 59. 59-94 94.43.56-15 48-55 20 Moon's L. L. 52. 45. 44-30 29-53 4G-5 1. 15-89 57. 56-88 45. 56-39 o-oo 90. 32. 30-60 90. 16. 39-82 48-55 21 Moon's L. L. 48.21.25-10 29-85 37-5 1. 6-85 57.11-58 42. 32-54 + 0-18 86. 11.25-59 85. 55. 47-23 48-55 22 Moon's L. L. 44.15.41-30 29-02 40-5 0. 55-98 56. 30-66 39. 14-41 + 0-27 82. 8.48-39 81.53.21-24 48-55 23 Moon's L. L. 40. 38. 58-90 29-55 31-5 0.51-20 55. 54-34 36. 13-04 -f-0-45 78.35. 2-11 78. 19. 44-92 48-55 The Moon's U. L. or L. L. was usually observed when the hright 1 L. or 2 L. was passing the Meridian. The Geocentric N. H. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 26" -70 : q = 10" '62. ( a ) Observed at Transit of 2 L. Increase of N. P.D. during passage of Semidiameter = 9" "24. ^ GREENWICH LUNAR REDUCTIONS. (Y) (162J REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L.or2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1792. Dec. 24 Moon's L. L. O 1 II 37. 40. 19-70 in. 29-60 o 30-5 0. 46-22 55. 23-23 33. 38-86 a n g -r-0'54 O ' /' 75. 38. 51-67 / '/ 75. 23. 43-01 48-55 30 Moon's L. L. 37. 26. 35-20 30-06 32-5 0. 46-36 53. 58-76 32. 37-29 -f-0-54 75.26. 8-84 75. 11.23-33 48-59 1793. Jan. f Moon's L. L, 63. 11. 33-60 30-08 27-5 2. 0-72 57.44-17 51.21-49 -0-38 100.53.41-16 100. 37. 53-86 48-66 18 Moon's L. L. 45. 49. 22-50 30-37 30-5 1. 3-18 57. 20-30 40. 55-28 + 0-27 83. 40. 56-20 83. 25. 15-45 48-82 21 Moon's L. L. 36. 13. 55-20 30-36 33-5 0. 44-71 55. 8-04 32.23-14 + 0-54 74.13.41-12 73. 58. 36-63 48-88 25 Moon's U. L. 34. 20. 46-80 30-06 32-5 0. 41-37 53. 58-02 30. 14-89 + 0-61 72. 22. 37-37 72. 37. 22-67 48-96 26 Moon's L. L. 36. 37. 46-50 30-14 29-5 0. 45-42 53. 56-40 31.59-15 + 0-54 74. 37. 57-20 74.23.12-34 48-98 28 Moon's L. L. 42. 12. 48-00 29-90 35-5 0. 54-27 54. 9-85 36.11-91 + 0-36 80. 8. 55-60 79.54. 7-06 49-02 30 Moon's L. L. 49. 36. 45-40 29-70 34-5 1. 9-95 54. 46-92 41. 32-31 + 0-14 87.27.49-41 87.12.50-71 49-06 Feb. 1 Moon's L. L. 57. 40. 57-40 29-43 33-5 1.33-29 55. 51-20 47. 1-38 0-23 95. 26. 56-79 95. 11.40-46 49-11 14 Moon's L. L. 47. 50. 42-50 29-62 44-5 1. 4-21 58. 40-30 43. 17-48 + 0-21 85. 39. 55-34 85. 23. 52-65 49-37 16 Moon's L. L. 40. 1.30-30 29-76 38-5 0. 49-70 56. 42-74 36. 16-08 + 0-46 77. 57. 28-87 77.41.58-42 49-41 18 Moon's L. L. 35. 10.11-80 29-70 40-5 0. 41-45 55. 10-30 31.34-59 + 0-59 73. 10. 42-88 72. 55. 37-76 49-45 19 Moon's U. L. 33. 32. 50-30 29-92 36-5 0. 39-63 54. 38-27 29. 59-50 + 0-63 71.34.54-40 71.49.50-73 49-16 20 Moon's U. L. . . 33.19.53-10 30-00 36-5 0. 39-41 54. 16-07 29. 37-08 + 0-65 71. 22. 19-39 71.37. 9-64 49-48 21 Moon's U. L. . . 33. 59.49-10 30-00 34-5 0. 40-58 54. 3-24 30. 1-45 + 0-63 72. 1.52-28 72. 16. 39-01 49-50 22 Moon's U. L. . . 35. 29. 26-20 30-03 39-5 0. 42-50 53.58-71 31. 8-34 + 0-53 73. 30. 24-57 73. 45. 10 03 49-51 .. 26 Moon's L. L. . . 48. 18. 42-30 29-95 42-5 1. 6-27 54. 44-51 40.41-42 + 0-18 86. 10. 33-32 8-3. 55. 35-28 49-58 27 Moon's L. L. 52. 19. 7-30 29-75 39-5 1. 16-34 55. 8-08 43. 26-98 o-oo 90. 8.23-39 89. 53. 18-89 49-60 28 Moon's L. L. 56. 22. 56-70 29-76 38-5 1.28-85 65. 35-45 46. 6-80 0-18 94. 9.46-04 93. 54. 34-04 49-01 Mar. 2 Moon's L. L. 63. 57. 18-60 29-34 43-5 1. 57-66 56. 42-42 50. 46-76 0-42 101.39.57-93 101.24.27-57 49-64 3 Moon's L. L. 67. 3. 17-90 29-73 34-5 2. 20-04 57.21-65 52. 39-53 0-64 104. 44. 27-27 104. 28. 46-15 49-65 19 Moon's U. L. . . 33. 18. 30-60 29-71 46-5 0.38-19 54. 45-20 29.51-86 + 0-65 71.20.43-09 71.35.41-32 49-75 21 Moon's U. L. . . 34. 50. 57-30 29-79 38-5 0. 41-25 54. 8-30 30.44-13 + 0-59 72. 52. 20-80 73. 7. 8-92 49-76 23 Moon's U. L. . . 39. 29. 18-20 29-66 36-5 0.48-80 54. 12-05 34. 16-17 -t-0-46 77. 27. 17-94 77. 42. 7-09 49-76 29 Moon's L. L. 62.54.11-90 29-80 29-5 1.57-61 56. 43-07 50. 19-30 -0-38 100. 37. 20-90 100.21.50-36 49-74 30 Moon's L. L. 66.14. 1-20 29-82 30-5 2. 16-26 57. 14-30 52.13-16 0-52 103. 55. 35-47 103. 39. 56-36 49-73 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90- p = 38. 31'. 26" -70: q = 10" "62. From 17W3, March 19, 90 - p = 38. 31'. 29" '04 : q = 11"'02. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (163) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1793. Apr. 16 Moon's U. L. . . O / 41 33. 16. 3-60 in. 29-69 o 41-5 0. 38-50 / // 54. 49-89 / // 29. 52-46 t // + 0-65 o / // 71. 18. 15-80 O ' II 71. 33. 15-32 II 49-56 18 Moon's U. L. . . 35. 49. 28-30 29-12 49-5 0.40-87 54.14-13 31. 32-62 + 0-54 73.50. 3-06 74. 4.52-77 49-53 19 Moon's U. L. . . 38. 14. 13-90 29-92 34-5 0. 47-28 54. 12-63 33. 21-18 + 0-54 76.13. 6-95 76. 27. 56-26 49-51 20 Moon's U. L. . . 41. 15. 52-00 30-04 40-5 0.52-19 54.21-83 35. 39-45 + 0-38 79. 12.32-10 79. 27. 23-93 49-50 21 Moon's U. L. . . 44. 47. 22-90 30-06 43-5 0. 58-70 54. 40-67 38. 19-53 + 0-27 82.41.29-98 82. 56. 26-97 49-49 22 Moon's U. L. . . 48.41. 9-10 29-92 42-5 1. 7-08 55. 7-52 41. 12-72 + 0-17 86. 32. 32-01 86. 47. 36-36 49-46 23 Moon's U. L. . . 52. 48. 25-70 29-60 45-5 1. 16-35 55. 40-28 44. 9-54 0-04 90.37. 1-63 90. 52. 14 96 49-45 29 Moon's U. L. . . 70. 40. 16-40 29-62 43-5 2.44-75 58.50-53 55. 21-76 0-65 108.19. 11-24 108. 35. 16' 73 49-34 May 2 Moon's U.L. .. 66. 16. 10-30 29-83 42-5 2.13-11 59. 17-65 54. 6-36 0-54 103. 55. 48-20 104.12. 1-12 49-29 4 Moon's U.L... 58.31.27-70 29-80 53-5 1.33-62 59. 8-77 50. 15-14 0-27 96. 14. 16-15 96. 30. 26-64 49-25 5 Moon's U. L. . . 53. 56. 34-40 30-18 50-5 1. 20-29 58. 55-55 47. 26-35 0-09 91.41.57-62 91.58. 4-39 49-23 19 Moon's U. L. . . 46. 4S. 49-60 29-93 49-5 1. 1-95 54. 47-75 39. 45-57 + 0-23 84.41.34-23 84.56.33-16 48-99 20 Moon's U. L. r . 50. 50. 49-80 29-96 51-5 1.11-16 55. 19-32 42. 42-57 + 0-05 88. 40. 47-23 88. 55. 54-81 48-98 21 Moon's U. L. . . 55. 1. 36-90 30-11 48-5 1.23-70 55. 58-58 45. 40-89 0-13 92.48.49-16 93. 4. 7-52 48-97 23 Moon's U. L. . . 63. 4.27-70 30-10 49-5 1 . 54-76 57. 29-30 51. 4-78 0-41 100. 46. 48-37 101. 2.31-59 48-94 24 Moon's U. L. . . 66. 27. 53-70 30-10 42-5 2. 15-56 58. 13-69 53. 12-81 0-54 104. 8.27-64 104. 24. 23-03 48-92 25 Moon's U.L... 69. 3. 30-50 30-16 45-5 2. 33-35 58. 52-54 54. 49-20 0-58 106. 42. 46-28 106. 58. 52-32 48-91 20 Moon's U. L. . . 70. 34. 22-60 30-10 41-5 2. 47-23 59. 22-32 55. 49-65 -0-65 108. 12. 52-02 108. 29. 6-22 48-89 27 Moon's U. L. . . 70. 49. 12-00 29-91 49-5 2. 45-65 59. 40-84 56. 12-19 0-66 108. 27. 17-33 108. 43. 36-61 48-89 28 Moon's U. L. . . 69. 44. 23-60 29-70 44-5 2. 36-80 59. 47-62 55. 55-58 0-61 107. 22. 36-54 107. 38. 57-68 48-87 31 Moon's U. L. . . 60. 2.51-00 30-03 50-5 1.40-81 59. 11-21 51. 5-63 0-27 97. 44. 56-43 98. 1. 7-58 48-83 June 2 Moon's U.L... 50. 55. 37-20 29-84 63-5 1. 9-38 58. 20-69 45. 5-67 + 0-05 88. 43. 9-75 88.59. 7-06 48-82 15 Moon's U. L. . . 45. 1. 4-00 30-00 64-5 0. 56-59 54. 23-10 38. 16-40 30 after 4-50 + 0-07 82.55. 7-44 83. 9.59-61 48-75 17 Moon's U. L. . . 52. 59. 33-50 29-70 63-5 1. 14-36 55.20-15 44. 0-04 0-05 90.48.16-96 91. 3.24-77 48-74 20 Moon's U. L. . . 64. 48. 49-00 29-93 49-5 2. 3-15 57. 47-38 52. 7-30 0-48 102. 30. 15-79 102.46. 3-96 48-73 21 Moon's U. L. . . 67.52. 3-50 29-81 55-5 2. 19-83 58. 41-00 54. 11-38 0-54 105.31.43-40 105. 47. 46-28 48-74 22 Moon's U. L. . . 69. 59. 56-20 29-75 50-5 2. 37-27 59. 29-09 55. 43-83 0-63 107.38.21-39 107. 54. 37-45 48-75 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 29" -04: q = 11" "02. - (Y)2 (164) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Eqiiatoreal Parallax. Parallax. Interval at which Observa- tion was- made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U.L.or L. L., at Transit ofl L. or2L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1793. June 26 Moon's U. L. . . O / H 65. 38. 32-20 in. 29-70 o 52-5 1 H 2. 6-10 / H 60. 25-85 / // 54. 52-31 i // // 0-52 o / // 103. 17. 17-04 O ' if 103. 33. 48-66 * 48-76 July 1 Moon's [J. L. . . 43. 38. 20-60 2991 60-5 0. 54-20 57. 27-72 39. 26-91 + 0-26 8f. 31. 15-56 81.46.58-35 48-79 2 Moon's U. L. . . 39. 51. 36-10 30-12 62-5 0. 47-62 56. 49-16 36. 12-52 -r-0'45 77. 47. 38-36 78. 3. 10-58 48-80 12 Moon's U. L. . . 43.29. 6-10 29-89 81-5 0. 51-70 54. 4-22 37. 0-84 + 0-29 81.24.24-64 81.39. 11-63 48-91 13 Moon's U. L. . . 47. 13.50-10 30-04 79-5 0. 59-43 54. 17-86 39. 40-03 + 0-21 85. 6.37-81 85.21.28-55 48-92 14 Moou's U. L. 61. 12. 8-80 30-OfJ 76-5 1. 8-79 54.41-14 42. 25-89 4-0-04 89. 2. 20-60 89. 17. 17-72 48-94 15 Moon's U. L. . . 55.15.57-10 29-96 81-5 1.18-68 55. 14-36 45. 12-67 0-15 93. 3. 32-59 93. 18. 38-81 48-95 16 Moon's U. L. . . 59. 16. 27-20 29-70 81-5 1. 30-90 55. 57-16 47. 55-07 0"27 97. 1.33-15 97. 16.51-11 48-97 17 Moon's U. L. . . 63. 2. 39-80 29-78 73-5 1. 48-05 56. 48-48 50. 27-66 0-41 100. 45. 30-89 101. 1. 2-92 48-99 10 Moon's U. L. . . 68. 57. 28-50 29-65 60-5 2. 25-44 58.45-16 54. 40-05 0-69 106. 36. 45-49 106.52.49-51 49-02 20 Moon's U. L. . . 70. 32. 46-80 29-95 54-5 2. 41-73 59. 41-34 56. 6-95 0-63 108. 10. 53-43 108.27. 12-84 49-03 21 Moon's U. L. . . 70.51. 52-90 30-00 57-5 2. 43-85 60.28-16 56. 57-67 0-66 108. 29. 10-95 108.45.43-20 49-06 24 Moon's U. L. . . 63.41.52-30 29-90 63-5 1. 53-82 61. 4-9IJ 54. 34-33 0-43 101.20.42-57 101.37.24-90 49-11 25 Moon's U. L. . . 59. 18. 19-60 29-92 60-5 1. 35-56 60. 38-52 51.57-09 0-27 96. 59. 28-18 97. 16. 3-27 49-14 31 Moon's U. L. . . 35.15. 6-00 30-06 62-5 0. 40-24 55.-54-17 32. 3-50 + 0-56 73. 15. 9-16 73. 30. 26-30 49-27 Aug. 11 Moon's U. L. . . 53. 45. 34-40 29-96 70-5 1. 16-06 54. 39-98 43. 54-36 0-08 91.34.25-37 91.49.22-17 49-48 12 Moon's U. L. 57. 44. 45-20 29-93 71-5 1.28-01 55. 10-86 46.29-15 0-27 95.31.13-89 95. 46. 19-15 49-51 14 Moon's U. L. . . 64. 58. 40-60 29-80 65-5 1.59-58 56. 37-59 51. 8-48 , 0-49 102.41. 2-67 102.56.31-71 49-55 16 Moon's U. L. . . 69. 51. 17-90 29 66 60-5 2. 32-45 58. 30-31 54. 45-69 0-62 107. 30. 36-40 107.46.36-35 49-60 19 Moon's L. L. 69. 17. 58-40 30-05 53-5 2.32-17 61. 0"26 56. 53-84 0-56 106. 55. 8-42 106. 38. 27-37 49-65 20 Moon's L. L. 66. 17. 34-50 30-17 55-5 2. 11-21 61.22-10 56. 0-73 0-51 103.55. 16-16 103.38. 29-13 49-67 21 Moon's U. L. . . 61.40.17-70 30-15 58-5 1. 46 38 61.22-87 53.50-31 0-34 99. 19. 44-26 99.30.31-51 49-70 23 Moon's U. L. . . 51.58.37-80 29-97 52-5 1. 13-96 60.23-71 47. 22-25 o-oo 89. 43. 58-50 90. 0.29-53 49-74 24 Moon's U. L. . . 47. 7.43-50 30-00 49-5 1. 2-78 59. 31-97 43. 25-23 + 0-23 84. 56. 49-35 85. 13. 6-20 49-75 25 Moon's U. L. . . 42. 43. 17"20 30-01 49-5 0. 53-86 58. 33-75 39.31-17 + 0-31 80.30. 7-44 80.52. 8-33 49-78 26 Moon's U. L. . . 38. 59. 16-20 29-79 51-5 0. 46-68 57. 34-55 36. 0-80 + 0-49 76. 55. 1:9-12 77. 11. 13-78 49-80 Sep. 16 Moon's L. L. 67.56. 41-40 29-73 52-5 2. 20-86 60. 32-08 55. 50-03 0-54 105. 34. 37-69 105. 18. 4-37 50-07 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olnfscn's 90 p and q cos. N. P. D. to the corrected Quadrant Rending. 90 - p = 38. 31 '.29" -04 : q = 11" -02. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (165) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion wns made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1793. Sep. 20 Moon's U. L. . . o / it 49. 34. 21-20 In. 30-06 45-5 / /' 1. 9-09 / /' 60. 27-89 ' // 45. 49-05 // n + 0-11 o / 87.21. 9-88 O 1 II 87. 37. 42-06 it 50-08 23 Moon's U. L. . . 37. 10. 18-90 29-78 42-5 0. 44-54 57. 48-00 34. 42-63 + 0-54 75. 7.47-56 75. 23. 35-90 50-08 24 Moon's U. L. . . 34. 43. 45-00 30-04 46-5 0. 40-74 56. 50-36 32. 10-26 -fO'59 72. 43. 44-05 72. 59. 16-59 50-09 Oct. 13 Moon's L. L. 69. 6.57-40 29-99 56-5 2. 29-51 59. 19-21 55. 15-52 0-54 106. 45. 45-51 106.29.32-16 49-99 14 Moon's L. L. 66. 10.24-80 30-22 51-5 2.11-78 59.51-21 54. 34-75 0-52 103. 49. 35-41 103. 33. 13-28 49-98 16 Moon's L. L. . . 57. 40. ie-30 30-24 50-5 1. 32-48 60. 25-53 50.51-88 0-23 95.22.23-11 95. 5.51-58 4997 17 Moon's L. L. 52. 42. 32-60 30-18 51-5 1. 16-62 60.21-34 47. 48-88 o-oo 90. 27. 31-80 90.11. 1-42 49-95 20 Moon's U. L. . . 38. 39. 32-20 30'03 47-5 0. 46-89 58.41-03 36. 26-63 + 0-50 76. 35. 21-68 76.51.24-57 49-91 27 Moon's L. L. 39.11.53-50 29-64 41-5 0. 47-77 54. 10-89 34. 2-79 + 0-50 77.10. 7-82 76. 55. 18-99 49-79 29 Moon's L. L. 46. 4.41-60 29-20 37-5 1. 0-39 54.17-01 38. 54-53 + 0-27 83. 58. 17-90 83. 43. 27-40 49-76 Nov. 9 Moon's L. L. 70. 0.51-40 29-32 45-5 2. 36-74 58. 45-64 55. 3-68 0-60 107. 39. 57-46 107. 23. 53-31 49-59 10 Moon's L. L. 67. 26. 50-30 29-10 43-5 2. 17-07 59. 4-76 54. 23-60 0-54 105. 6. 16-35 104.50. 6-96 49-57 14 Moon's L. L. 49. 59. 36-20 29-42 43-5 1. 8-92 59. 26-30 45. 19-46 + 0-11 87. 46. 55-51 87. 30. 40-21 49-50 17 Moon's L. L. () 37. 26. 49-90 29-43 50-5 0. 43-73 58. 8-41 35. 8-32 + 0-54 75.23.53-18 75. 7.59-24 4944 18 Moon's L. L. 34. 52. 56-50 29-48 45-5 0. 40-29 57. 26-78 32. 38-53 + 0-61 72. 52. 25-73 72. 36. 43-20 49-43 19 Moon's L. L. 33. 24. 28-40 29-61 44-5 0. 38-37 56. 42 55 31. 0-90 + 0-68 71.25.33-13 71. 10. 2-73 49-42 21 Moon's L. L. 33.44.31-40 29-85 41-5 0. 39-41 55. 20-42 30. 32- 12 + 0-65 71.46. 5-99 71.30.58-10 49-39 2-2 Moon's L. L. 35.21.56-00 29-79 43-5 0.41-62 54. 48-60 31.31-35 + 0-58 73. 22. 33-80 73. 7.34-63 49-37 20 Moon's L. L. . . 48. 9. 5-50 30-11 41-5 1. 6-39 54. 22-94 40. 19-30 + 0-19 86. 1.22-18 85.46.30-05 49-31 Dec. 9 Moon's L. L. 61.12.50-50 29-53 41-5 1. 45-88 59. 16-64 51.46-17 0-29 98.54.21-85 98.38. 9-21 4920 11 Moon's L. L. 51.48.35-00 28-70 50-5 1.10-69 58. 53-90 46. 5-53 -r-0-05 89. 35. 10-31 89. 19. 3-89 49-19 13 Moon's L. L. 42. 39. 40-70 29-31 47-5 1 0.52-71 58. 14-51 39. 15-58 + 0-36 80. 32. 46-62 80. 10. 50-92 J49-I8 16 Moon's L. L. . . 33. 52. 28 30 2952 39-5 0. 39-34 56. 45-79 31.25-78 + 0-65 71.53. 9-18 71.37.37-89 49-17 18 Moon's L. L. 33. 9. 5-2-90 29-30 43-5 0. 37-69 55. 37-5-2 30. 13-48 + 0-67 71. 11.44-32 70. 50. 31-74 49-18 19 Moon's L. L. 34. 22. 2-90 29-46 41-5 0. 39-82 55. 6-32 30. 54-25 + 0-63 72.23. 15-86 72. 8.11-84 49-18 21 1794. Jan. 7 Moon's L. L. Moon's L. L. 39. 13. 25-90 53. -29. 0-60 28-83 30-15 41-5 32-5 0. 46-50 1.21-89 54. 20-93 59. 17-36 34.10-21 47.27-17 + 0-50 0-04 77.11.30-37 91. 14.25-71 76. 56. 38-79 90. 58. 12-87 49-19 49-34 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed bv adding Olnfsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p=33.31'.29'"04": q=U"'02. From 1793, Sep. 24, 90 :> -p=38 .31'. 31" "37 : q = ll"'4l. From 1/93, Nov. 9, 90 c -p=33.31'. 30" "18: q=ll"-29. () Observed at Transit of 2 L. Increase of N. P. D. during passage of Semidiameter = 8'''52. (166) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Exjuntoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Dorrec- j lion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1794. Jan. 8 Moon's L. L. o / n 48. 39. 20-60 in. 30-26 o 27-5 / // 1. 9-94 / // 58. 45-12 / it 43. 54-36 II // +0-18 O ' II 86.28. 5-84 o / // 86. 12. 1-83 '/ 49-35 9 Moon's L. L. 44. 7.31-90 30-22 25-5 0. 59-89 58.11-17 40.18-31 + 0-28 81.59.42-37 81.43.47-67 49-36 10 Moon's L. L. 40. 8. 4-20 30-09 24-5 0. 51-96 57. 37-08 36.55-91 + 0-46 78. 3. 28-56 77.47.43-21 49-38 16 Moon's L. L. 35. 26. 46-40 30-23 32-5 0. 43-34 54.42-41 31.31-58 + 0-58 73.27.25-70 73. 12. 28-23 49-50 17 Moon's L. L. 37. 56. 25-60 30-30 34-5 0. 47-37 54. 23-88 33. 14-89 + 0-54 75. 55. 20-05 75. 40. 33-66 49-52 25 Moon's L. L. 67. 24. 48-30 29-05 26-5 2.21-63 56. 40-15 52. 9-71 0-54 105. 6. 32-80 104.51. 3-00 49-70 Feb. 4 Moon's L. L. 50. 30. 57'SO 30-04 42-5 1.11-84 59. 52-06 46. 0-12 + 0-09 88. 17. 39-46 88. 1.17-11 49-91 8 Moon's L. L. 35. 14. 27-60 30-15 45-5 0.41-75 58. 43-36 32. 31-30 + 0-58 73. J4. 5-55 72. 58. 34-92 50-02 9 Moon's L. L. 33. 35. 30-80 30-08 42-5 0. 39-41 56. 3-86 30. 48-75 + 0-68 71.36.48-76 71.21.28-96 50-04 10 Moon's L. L. 32. 59. 5-80 30-00 40-5 0. 38-57 55. 29-71 30. 0-48 + 0-69 71. 1.11-09 70.46. 0-66 50-06 Mar. 5 Moon's L. L. (") 43. 7.52-30 29-90 49-5 0. 54-43 69. 37-70 40. 33-20 80. 59.41-94 80. 43. 23-52 50-49 7 Moon's L. L. 36. 2. 15-00 29-97 50-5 0. 42-30 57. 42-14 33. 44-13 + 0-55 74. 0.39-62 73. 44. 52-89 50-52 9 Moon's L. L. 33. 2. 5-80 29-94 45-5 0. 38-17 55. 59-10 30. 18-84 + 0-69 71. 3.51-17 70. 48. 32-67 50-55 11 Moon's U. L. . . 33. 42. 58-50 29-48 44-5 0. 38-65 54. 46-95 30. 12-32 + 0-63 71.44.50-94 71.59.49-65 00-58 13 Moon's U. L. . . 38.21. 8-50 29-85 38-5 0. 46-97 54. 7-39 33. 23-08 + 0-52 76. 19. 59-24 76.34.47-11 ,50-59 16 Moon's U. L. . . 49. 15. 16-50 29-98 43-5 1. 8-43 53. 58-70 40. 42-42 + 0-14 87. 7. 11-06 87. 21. 56-55 50-61 19 Moon's L. L. 61.42.39-90 29-80 36-5 1. 50-21 54.41-41 47. 59-48 0-32 99.28. 1-1 L 99.13. 3-9-2 50-64 Apr . 5 Moon's L. L. 33. 7.36-00 29-60 52-5 0. 37-33 57. 2-31 30. 57-64 42 after + 1-42 + 0-06 71. 8.42-53 70.53. 6-71 50-60 8 Moon's U. L. . . 34. 40. 54-20 29-13 46-5 0. 39-58 54. 47-95 31. 3-43 + 0-59 72. 47. 56-61 73. 2.55-60 50-58 11 Moon's TJ. L. . . 43.57.16-10 29-98 42-5 0. 56-98 53. 59'39 37. 16-78 +0-27 81.52.23-96 82. 7. 9-64 50-56 12 Moon's U. L. . . 47. 51. 52-80 30-05 43-5 1. 5-32 54. 0-49 39.51-63 + 0-18 85. 44. 34-82 85. 59. 20-79 50-54 15 Moon's U. L. . . 60. 4. 4-90 29-99 42-5 1. 42-44 54. 40-50 47. 12-52 0-27 97.50. 5-04 98. 5. 1-99 50-51 16 Moon's L. L. 64. 15. 20-70 30-28 46-5 2. 2-28 55. 3-54 49. 25-85 0-44 101.59.27-98 101.44.24-72 50-50 17 Moon's L. L. 67. 26. 46-60 30-30 42-5 2. 23-02 55. 30-36 51. 6-23 -0-54 105. 9.34-74 104.54.24-13 50-49 18 Moon's L. L. 69.57. 0-30 29-94 43-5 2. 40-17 56. 0-98 52. 28-11 0-59 107. 38. 44-12 107.23.25-11 50-47 20 Moon's U. L. . . 71.38. 8-30 30-00 47-5 2. 54-66 57.13-14 54. 8-94 18 after +0-01 1-28 109.18.25-41 109.34. 4'20 50-45 23 Moon's U. L. . . 66. 22. 19-20 29-98 55-5 2. 10-87 59. 17-69 54. 8-95 0-54 104. 1.52-2Q 104. 18. 5-19 50-41 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables abore are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90-p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 30" -18 : q = 11"'29. From 1794, March 7, 90 - p = 38. 31'. 28" "97 -. q = 11"'16. () Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = 12"'23. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and of Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAK DISTANCE. (167) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridiau. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. ofU. L. orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular 3blii|uit] of Ecliptic. 23.27'. 1794. Apr. 24 Moon's TJ. L. . . O ' 1 62. 27. 52-20 in. 30-27 57-5 / *f 1.50-63 / H 59. 54-72 / // 52. 56-40 i II -0-37 O f II 100. 8. 10-99 o / // 100. 24. 40-07 50-39 May 9 Moon's U. L. . . 46. 15. 37-40 29-32 44-5 1. 0-14 54. 6-61 38.64-11 + 0-25 84. 9.11-51 84. 23. 59-16 50-17 10 Moon's U. L. . . 50.20. 8-30 29-40 45-5 1. 9-43 54. 10-69 41.31-12 + 0-09 88.11.15-32 88.26. 4-10 50-15 11 Moon's U. L. . . 54. 30. 18-90 29-50 48-5 1. 20-44 54. 23-07 44. 5-74 - 0-11 92.19. 2-91 92. 33. 55-08 50-14 1-2 Moon's U. L. . . 58. 36. 57-50 29-70 46-5 1. 35-00 54. 42-29 46. 31-49 0-27 96. 23. 30-95 96. 38. 28-38 50-12 13 Moon's U. L. . . 62.30. 5'40 30-06 48-5 1. 52-07 55. 6-94 48.43-10 0-38 100. 14. 44-94 100.29.49-13 50-10 15 Moon's U. L. . . 68. 48. 39-60 30-40 54-5 2. 29-81 56. 5-75 52. 8-62 0-57 106. 30. 32-36 106. 45. 52-68 60-08 16 Moon's U. L 70. 48. 28-70 30-47 52-5 2. 47-61 56. 37-34 53. 19-14 40 after 2-46 -1-75 108.29.25-47 108. 44. 54-44 50-07 22 Moon's U. L. () 59. 44. 18-20 29-95 50-5 1.39-31 59. 25 94 51. 8-65 0-27 97.26.19-01 97.42.34-21 49-98 June 2 Moon's U. L. . . 34. 43. 23-00 30-10 64-5 0. 39-35 55. 32-08 31.25-63 40-59 72.44. 2-97 72.59. 14-06 49-88 8 Moon's U. L. . . 56.50.44-50 29-77 57-5 1.26-98 54. 36-48 45. 32-29 0-23 94. 38. 8-83 94.53. 4-67 49-85 10 Moon's U. L. . . 64. 34. 29-60 29-88 55-5 2. 0-15 55. 32-70 49. 59-85 0-47 102. 18. 0-78 102.33. 12-03 49-84 11 Moon's U. L. . . 67. 45. 19-80 29-86 58-5 2. 18-45 56. 8-37 51. 47-93 0-54 105.27.21-72 105. 42. 42-76 49-84 12 Moon's U. L. , . 70.10.55-20 29-92 55-5 2. 38-09 56. 45-60 53. 14-39 24 after 1-94 0-23 107.51.49-12 108. 7.20-36 4983 14 Moon's U. L. . . 71.54.51-90 30-00 56-5 2. 54-22 57.5587 54. 54-70 -0-72 109. 34. 23-41 109. 50. 13-91 49-83 15 Moon's U. L. . . 70. 56. 0-80 30-09 50-5 2. 47-35 58.24-45 55. 2-54 -0-67 108. 35. 17-47 108.51. 15-82 49-84 16 Moon's U. L. . . 68.43.51-70 30-07 46-5 2. 30-04 58. 47-26 54. 36-97 0-54 106.23.16-35 106. 39. 20-94 49-83 21 Moon's U. L. . . 46. 36.58-10 29-96 65-5 0. 59-63 59. 11-33 42. 48-39 + 0-24 84. 26. 37-57 84.42.48-76 49-85 July 3 Moon's U. L. . . 46. 39. 57-30 30-03 78-5 0. 58-36 54. 16-07 39. 16-78 + 0-24 84.33. 7-03 84. 47. 57-28 49-94 4 Moon's U. L. . . 50.47. 16-10 30-15 71-5 1. 8-65 54.14-10 41.50-06 + 0-05 88.38. 3-45 88.52.53-15 49-95 5 Moon's U. L. . . 54.58. 1-60 30-05 69-5 1. 19-90 54. 22-91 44. 20-83 0-14 92. 46. 30-04 93. 1.22-16 49-97 7 Moon's U. L. . . 62. 54. 10-60 29-90 74-5 1. 47-62 55. 11-70 48. 57-95 0-40 100. 38. 30-90 100. 53. 36-39 49-99 8 Moon's U. L. . . 66.20. 2-30 30-05 71-5 2. 6-81 55.49-35 50. 57-76 0-64 104. 2.42-49 104. 17. 58-31 50-00 9 Moon's U. L. . . 69. 8. -23-00 30-27 635 2. 28-97 56. 32-67 52. 40-66 0-59 106. 49. 42-92 107. 5. 10-62 50-0-2 10 Moon's U. L. . . 71. 5. 4-60 30-14 62-5 2. 44-96 57. 18-61 54. 3-45 0-68 108. 45. 17-99 109. 0.58-28 50-04 11 Moon's U. L. . . 71. 56. 22-80 2997 62-5 2. 52-19 58. 3-64 55. 2-53 0-72 109.35.44-45 109.51.37-08 50-05 12 Moon's L. L. (") Moon's U. L. ( c ) 72. 4.20-00 71.31.52-90 29-86 60-5 2. 53-59 2. 48-26 58. 43-79 58. 43-82 55. 43-36 55. 32-69 0-70 0-70 109.43. 2-63 109.10.40-41 109.26.58-98 109. 26. 44-07 50-07 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's !IO p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 28" -97: q = ll"'lfi. (") This observation is specified "doubtful 10"." ( b ) Observed at Transit of 1 L. Correction applied for defective illumination, + 0""36. ( e ) Observed at Transit of 2 L. (168) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made wjfore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1794. July 13 Moon's U. L. . . ' II 69. 48. 35-20 in. 29-80 o 63-5 / // 2. 31-88 / // 59.15-87 / /' 55. 27-36 1 U // 0-62 o / // 107.27.11-42 o t n 107. 43. 23-86 n 50-09 14 Moon's U. L. . . 66.51.44-70 30-02 61-5 2. 12-51 59. 37-06 54. 38-85 0-54 104.30.49-59 104.47. 7-83 50-10 15 Moon's U. L. . . 62. 54. 57-60 29-95 61-5 1.50-69 59. 46-68 53. 2-31 0-40 100. 35. 16-60 100. 51. 37-48 50-13 16 Moon's U. L. . . 58. 16. 15-80 29-94 61-5 1.31-65 59. 45-13 50. 37-69 0-27 95. 58. 39 62 96. 15. 0-08 50-13 19 Moon's U. L. . . 43. 26. 23-80 29-84 65-5 0. 53-17 58. 53-22 40. 16-68 -fO-29 81. 18.27-87 81.34. 34-10 50-19 20 Moon's U. L. . . 39. 12. 47-20 29-78 63-5 0. 45-92 58. 27-10 36. 44-36 + 0-47 77. 8. 15-72 77. 24. 14-79 50-22 Aug. 4 Moon's IT. L. . . 64.50.29-10 29-64 62-5 1. 58-92 55. 11-32 49. 47-20 0-48 102.34. 11-74 102.49. 17-13 50-54 7 Moon's U. L. . . 71.38.17-60 29-50 61-5 2. 46-92 57. 34-26 54. 28-94 0-70 109.18. 7-54 109.33.52-11 50-62 8 Moon's L. L. 72.24. 6-80 29-93 54-5 2. 59-58 58.28-44 55. 35-03 -0-71 110. 3. 3-44 109.47. 4-01 50-64 9 Moon's U. L. . . 70.47.31-50 30-07 56-5 2. 43-91 59. 18-29 55. 50-36 0-66 108. 25. 56-89 108.42. 9-99 50-67 10 Moon's U. L. . . 68. 23. 34-90 29-98 57-5 2. 23-77 59. 58-79 55. 35-59 0-54 106. 1. 54-59 106. 18. 18-79 50-09 12 Moon's TJ. L. 60. 17. 26-70 30-15 54-5 1.41-37 60. 35-83 52. 26-37 0-27 97.58. 11-95 98. 14. 46-30 50-74 13 Moon's U. L. . . 55. 13. 59-70 30-09 54-5 1.23-26 60. 29-44 49. 29-43 0-14 92. 57. 22-94 93. 13. 55-54 50-77 14 Moon's U. L. 50. 0.36-30 29-90 54-5 1. 8-52 60. 8-75 45. 52-36 + 0-09 87.47.21-09 88. 3. 48-02 50-79 15 Moon's U. L. . . 44.59. 1-40 29-75 58-5 0. 56-73 59. 36-96 41.55-77 + 0-27 82. 49. 30-21 83. 5.48-43 50-82 17 Moon's U. L. . . 36. 44. 39-20 29-84 59-5 0. 42-44 58. 17-32 34. 39-35 40-54 74.42. 8-86 74.58. 5-24 50-87 Sep. 2 Moon's TJ. L. . . 69. 24. 2-60 29-77 64-5 2. 28-20 55. 44-59 52. 1-28 66 after 6-06 0-01 107. 5.55-70 107.21. 10-2-2 51-18 3 Moon's U. L. . . 71.11. 6-10 30-08 57-5 2. 47-24 56. 33-70 53. 23-02 0-68 108. 52. 2-22 109. 7.30-20 51-19 4 Moon's TJ. L. . . 71.57. 6-30 29-97 59-5 2. 53-36 57. 29-75 54. 30-63 0-72 109.37. 1-02 109. 52. 44-36 51-21 10 Moon's U. L. . . 52.24.24-10 29-93 49-5 1. 15-47 61.10-17 48. 15-61 o-oo 90. 8. 52-96 90. 25. 36-72 51-30 14 Moon's U. L. . . 34.41.55-00 29-71 48-5 0. 40-08 58. 29-31 33. 4-71 + 0-59 72. 40. 56-61 72. 56. 56-29 51-35 16 Moon's L. L. 32. 18. 42-20 29-76 57-5 0. 36-01 56. 46-90 30. 8-48 + 0-72 70. 20. 35-67 70. 5. 4-07 51-37 Oct. 3 Moon's L. L. 71.25.48-90 29-84 52-5 2. 49-94 58.11-10 55. 0-01 0-66 109. 5. 10-79 108.49. 16-11 51-41 4 Moon's L. L. 69. 5. 18-50 29-74 50-5 2. 29-89 59. 9-97 55. 6-30 0-55 106.44. 13-72 106.28. 2-90 51-42 5 Moon's L. L. 65. 34. 45-60 29- 10 51-5 2. 3-45 60. 4-67 54. 31-63 0-50 103. 13.48-44 102. 57. 22-63 51-41 C Moon's L. L. 61. 4.54-40 29-86 44-5 1. 45-82 60.49-18 53. 2-91 0-27 98.45. 7-71 98. 28. 29-70 51-41 1 Moon's L. L. 55. 53. 15-00 29-04 50-5 1.23-01 61. 17-6C 50. 32-85 62 after + 13-34 o-oo 93.35.48-17 93.19. 2-35 51-41 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 28" -97: q = 11" -16. SECT. II. INVESTIGATION OF MOON'S NORTH POLAK DISTANCE. (169) 1 Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular horizontal ^quatoreal Parallax. Parallax. Interval at which Observa- tion was made tefore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. f U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 23^.27'. 1794. Oct. 8 Moon's L. L. () Moon's U. L. (") o / // 50. 23. 57-30 49. 49. 40-90 in. 29-48 43-5 / // 1. 10-06 I. 8-66 / // 61.20-86 61.25-89 / // 47. 7-37 46. 43-65 it f + 0-09 -t-0-09 ' II 88. 9.28-69 87. 35. 30-76 O 1 il 87. 52. 40-62 87. 52. 18-84 '/ 51-39 11 Moon's U. L. . . 35.49. 4-40 29-64 47-5 0.41-76 59. 50-24 34. 47-78 + 0-54 73. 46. 24-77 74. 2.46-63 51-37 12 Moon's L. L. 33.41. 0-50 29-82 38-5 0. 39-53 58. 52-74 32. 26-27 + 0-68 71.40.39-90 71.24.33-81 51-36 15 Moon's L. L. 33. 13. 19-90 29-99 52-5 0. 37-96 56. 4-19 30. 30-80 + 0-68 71.14.53-12 70. 59. 33-23 51-34 17 Moon's L. L. 38. 4. 17-70 29-74 46-5 0. 45-56 54. 48-31 33. 35-74 + 0-54 76. 2.54-34 75.47.55-25 51-33 18 Moon's L. L. 41.29. 34-60 1 29-92 45-5 0.51-86 54. 23-88 35. 50-67 + 0-40 79.26. 3-11 79. 11.10-72 51-31 Nov. 3 Moon's L. L. 58. 39. 21-70 29-12 42-5 1.34-06 60. 15-55 51. 16-42 0-27 96.21. 9-28 96. 4.40-48 51-10 5 Moon's L. L. 47. 54. 28-90 29-28 47-5 1. 3-22 61. 4-89 45. 6-85 + 0-21 85.41.53-61 85.25.11-30 51-07 6 Moon's L. L. 42.42.51-50 29-32 42-5 0. 53-37 61. 2-21 41. 11-13 -I-0-36 80. 34. 1-24 80. 17. 19-66 51-06 8 Moon's L. L. 34. 44. 32-90 29-72 39-5 0. 40-91 60. 0-13 33. 58-45 * + 0-63 72.42.41-64 72.26. 17-08 51-03 9 Moon's L. L. 32. 35. 43-30 29-98 37-5 0.38-21 59. 7-90 31.38-19 +0-72 70.36. 9-31 70. 19. 59-06 51-01 11 Moon's L. L. 32.24. 6-10 29-92 45-5 0.37-23 57. 10-38 30. 25-51 + 0-72 70. 25. 43-77 70.10. 5-74 50-98 12 Moon's L. L. . . 34. 5.58-70 29-88 36-5 0. 40-41 56. 15-88 31. 20-22 + 0-63 72. 6.45-06 71.51.21-97 60-97 26 Moon's L. L. 72. 44. 58-40 29-61 44-5 3. 5-18 56. 40-74 53. 58-90 -0-72 110.25.36-83 110. 10. 6-92 50-79 27 Moon's L. L. 71. 17. 39-90 29-78 39-5 2. 52-93 57. 14-04 54. 3-48 0-66 108. 58. 1-29 108. 42. 22-25 50-77 Dec. 1 Moon's L. L. 55. 45. 56-20 29-67 40-5 1.26-19 59.34-14 49. 3-23 0-14 93.29 48-67 93. 13. 31-23 50-75 3 Moon's L. L. 45. 15. 38-30 29-64 45-5 0. 58-60 60. 16-33 42. 35-97 + 0-27 83. 5.31-51 82.49. 2-51 50-73 4 Moon's L. L. 40.25.51-50 29-55 39-5 0. 49-96 60. 18-50 38. 53-64 -t-0-45 78. 19. 14-98 78. 2.45-37 50-71 5 Moon's L. L. . . 36.23.31-80 29-63 41-5 0.43-16 60. 5-60 35. 26-03 + 0-54 74. 20. 15-43 74. 3.49-37 50-71 6 Moon's L. L. ( c ) Moon's U. L. O 33. 28. 56-60 32. 55. 39-90 29-73 45-5 0. 38-55 0. 37-75 59. 37-4 1 59. 37-3o 32. 40-41 32. 11-3-2 + 0-68 + 0-68 71. 28. 20-84 70. 55. 29-45 71.12. 2-50 71. 11.4778 50-70 .8 Moon's L. L. 31.47.26-20 29-49 41-5 0.36-13 58. 7-53 30. 24-40 + 0-70 69.49. 3-75 69.33. 1005 50-70 10 Moon's L. L. . . 35. 12. 58-40 29-48 31-5 0. 42-00 56.24-02 32. 19-02 + 0-59 73. 12. 47-72 72. 57. 22-40 50-70 12 Moon's L. L. . . 141.57.45-80 30-03 39-5 0. 53-58 55. 0-26 36. 34-87 + 0-38 79.53.3190 79. 38. 29-54 50-69 14 Moon's L. L. .. 50. 14. 16-10 30-01 38-5 1. ll-6o 54. 15-81 41.31-65 + 0-09 88. 5.24-79 87. 50. 34-61 50-69 17 Moon's L. L. 62. 44. 44-50 30-00 29-5 1.57-61 54. 28-25 48. 15-57 0-36 100. 29. 57-18 100. 15. 3-59 50-69 31 Moon's L. L. 42.21.58-80 29-95 26-5 0. 55-70 59.24-81 39. 49-48 + 0-3< 80.14.32-46 79. 58. 17-58 50-81 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 -p = 38. 31'. 28" -97: q = 11" "16. (") Observed at Transit of 1 L. (") Observed at Transit of 2 L. Correction applied for defective illumination, 3"'74. ( c ) Observed at Transit of 1 L. ( d ) Observed at Transit of 2 L. Correction applied for defective illumination, 2"'88. GREENWICH LUNAR REDUCTIONS. (Z) (170) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatorial Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center Jit Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1796. Jan. Moon's L. L. o / * 32. 29. 59-40 30-30 o 15-5 / H 0.40-33 / a 58. 47-68 / // 31.22-44 6 // + 0-72 / // 70. 30. 43-20 o / // 70. 14. 38-55 n 50-84 4 Moon's L. L. () Moon's U. L. (") 31. 39. 12-30 31. 6.47-50 30-22 18-5 0. 38-67 0. 37-86 58. 16-87 58. 16-87 30.22-21 29. 53-98 + 0-76 69.40.54-61 69. 8.55-34 69. 24. 58-35 69.24.61-60 50-80 r Moon's L. L. . . 32. 10. 6-60 30-10 28-5 0. 38-46 57. 39-25 30. 28-99 + 0-72 70. 11.41-98 69. 55. 56-03 50-88 9 Moon's L. L. 44. 3.54-80 30-19 29-5 0. 59-20 55. 1-46 38. 4-40 + 0-20 81. 58. 17-27 81.43. 14-58 50-94 11 Moon's L. L. 52. 36. 39-70 30-23 21-5 1.21-46 54. 19-08 42. 58-56 o-oo 90. 26. 31-06 90. 11.40-58 50-98 13 Moon's L. L. 60. 59. 31-20 30-02 19-5 1.51-78 54. 19-08 47. 20-23 0-29 98. 45. 33-13 98. 30. 42-05 51-03 25 Moon's L. L. 54. 3. 14-40 29-90 20-5 1.25-08 59. 23-00 47.52-81 0-07 91. 48. 15-92 91.32. 1-50 51-29 28 Moon's L. L. 39.24. 8-70 29-64 30-5 0. 49-24 58. 55-58 37. 11-46 + 0-49 77. 19. 13-49 77. 3. 6-62 51-37 29 Moon's L. L. 35. 45. 44-00 29-87 22-5 0. 44-26 58. 38-06 34. 3-16 + 0-57 73.43.51-51 73. 27. 49-43 51-39 31 Moon's L. L. 31. 50. 24-00 29-76 30-5 0. 37-39 57. 52-21 30. 18-94 + 0-74 69.52. 8-32 69. 36. 18-82 51-44 Feb. 2 Moon's U. L. . . 32. 29. 42-30 29-23 29-5 0. 37-74 56. 53-47 30.21-15 + 0-09 70.31.24-83 70. 46. 58-22 51-4!) 3 Moon's U. L. ( c ) 34. 48. 29-30 28-93 26-5 0.41-03 56.21-01 31.57-47 72. 48. 38-53 73. 4. 3-03 51--V2 4 Moon's L. L. 38. 29. 57-90 29-28 27-5 0. 47-40 55. 48-44 34. 32-26 + 0-54 76. 27. 39-94 76. 12.24-36 61-55 5 Moon's L. L. 42. 16. 45-90 29-77 246 0. 5^-43 55. 17-70 37. 0-10 + 0-36 80. 12. 8-06 79.57. 1-52 51-57 11 Moon's L. L. 66. 43. 52-30 28-91 45-5 2.11-03 54. 34-38 50. 2-77 20 after 267 0-96 104. 27. 28-69 104. 12. 33-42 51-73 27 Moon's L. L. 32. 2.52-50 29-15 37-5 0. 36-38 57. 48-09 30. 27-46 + 0-7-2 70. 4.27-31 69. 48. 38-94 52-07 Mar. 1 Moon's U. L. . . 31.54. 19-90 29-8") 29-5 0. 37-67 56. 40-38 29. 44-56 + 0-72 69. 50. 38-87 70. 12. 8-68 o-2-ll 4 Moon's U. L. . . 40. 16. 16-60 29-83 40-5 0. 50-04 55. 14-42 35. 30-39 + 0-45 78. 13. 3-39 78. 28. 9-03 52-17 5 Moon's L. L. 44.49.14-40 29-16 46-5 0. 56-65 54.51-09 38.28-19 10 before + 1-68 + 0-19 82.43. 12-29 82.28. 12-44 52-18 8 Moon's L. L. 57. 48. 48-80 30-12 36-5 1.35-36 54. 7-62 45.38-10 -0-24 95. 36. 15-82 95.21.27-89 52-23 11 Moon's L. L. 68. 41. 22-90 29-21 33-5 2. 29-47 54. 29-33 W. 30-68 0-54 106. 24. 40-97 106. 9.47-09 5-2-27 27 Moon's U. L. . . 30.53.39-10 29-74 43-5 0. 35-03 57. 47-29 29. 27-39 67 after + 0-41 + 0-01 68.56. 11-12 09. Il.o9-20 52-35 28 Moon's U. L. . . 31.21.37-50 2986 39-5 0.36-13 57. 0-53 29. 27-41 + 0-74 69. 24. 12-00 09. 39. 47-34 52- 30 29 Moon's U. L. . . 32. 59. 53-20 29-8-4 42-5 0. 38-22 56. 18-54 30.27-44 + 0-68 71. 1.30-00 71. 10. 53-82 52-37 30 Moon's U. L. . . 35. 36. 30-80 29-80 41-5 0. 42-18 55.42-10 32. 13-57 + 0-54 73. 36. 25-77 73. 51. 39-61 5-2-30 31 Moon's U. L. . . 38. 58. 32-50 29-77 39-5 0.47-80 55. 11-73 34. 30-92 + 0-50 76. 06. 16-33 77.11.21-83 52-37 Apr. 8 Moon's L. L. 70. 33. 46-70 29-65 36-5 2. 46-38 54. 27-99 51. 12-92 0-63 108.16.52-00 108. 1.58-49 52-32 The Moon's U. L. or L. L. was usually observed when tlie bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. ]). is formed IJY adding Olufsi'n's 90 p and q cos. N. P. I), to the corrc-cted Ouadrant Reading. 90 - p = 38. 31'. 28" -97 : q '= ll"-lfi. () Observed at Transit of 1 L. (") Observed at Transit of Center. Correction applied for defective illumination, 1" "04. Increase of N.P.D. during passage of Semidiameter = 0"-36. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," "Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( c ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = + 7"'33. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (171) Year, Month, and l);ty. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of , Path. Geocentric N. P. D. of U.L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1795. o / // in. , , , , // H o < // o / // '/ Apr. 10 Moon's U. L. . . 72.55.51-60 29-85 38-5 3.11-15 55. 26-80 52. 51-40 0-76 110. 37. 43-49 110.52.53-13 52-31 23 Moon's U.L... 30. 49. 1 1-40 29-34 54-5 0. 33-69 59. 1-96 30. 1-57 + 0-79 68.51. 9-25 69. 7. 17-88 52-19 24 Moon's U.L... 30. 47. 45-20 29-50 56-5 0. 33-71 58. 4-04 29. 30-80 r-0-77 68. 50. 13-82 69. 6. 6 56 52-17 26 Moon's U. L. 34.27. 3-30 29-29 50-5 0. 38-99 56. 17-70 31.38-24 + 0-60 72. 27. 30-26 72. 42. 53-86 52-15 | 27 Moon's U. L. . . 37. 39. 6-10 29-21 50-5 0. 43-72 55. 34-77 33. 44-80 -t-0-54 75. 37. 31-76 75. 52. 43-58 52-13 28 Moon's U. L. . . 41.26.61-60 29-44 45-5 0. 50-95 55. 0-11 36. 12-48 -fO-38 79. 22. 57-36 79. 37. 59-67 52-12 29 Moon's U. L. . . 45. 37. 56 80 29-55 48-5 0. 58-81 54.3373 38. 48-62 + 0-27 83.31.34-97 83. 46. 30-06 52-09 30 Moon's U.L... 50. 1.23-70 29-54 46-5 1. 8-85 54. 15-03 41.23-06 + 0-09 87. 52. 38-14 88. 7.28-10 52-09 May 1 Moon's U. L. 54. 27. 15-00 29-75 46-5 1.21-31 54. 3-60 43. 48-27 0-11 92. 16. 17-34 92.31. 4-17 52-08 2 Moon's U.L... 58. 46. 12-90 30-05 47-5 1.36-49 53. 58-70 45. 58-96 -0-27 96. 33. 20-40 96.48. 5-89 52-06 3 Moon's U. L. (') 62. 48. 37-90 30-23 43-5 1. 55-38 53. 59-71 47. 51-75 0-39 100.34. 12-16 100. 48. 57-93 52-05 5 Moon's U. L. . . 69.25. 17-80 30-20 55-5 2. 33-28 54. 18-34 50. 41-24 -0-60 107. 8.41-50 107. 23. 32-37 52-03 6 Moon's U. L. , . 71.38.50-60 30-27 45-5 2. 67-09 54. 36-41 51. 40-84 0-70 109.21.38-72 109. 36. 34-54 52-01 7 Moon's U. L. . . 72. 57. 13-00 30-06 50-5 3. 7-96 55. 0-58 52. 26-77 0-72 110.39.26-38 110.54.28-83 52-00 8 Moon's U. L. . . 73. 12. 35-60 30-34 35-5 3. 18-90 55. 31-36 53. 0-53 -0-77 110.54.26-15 111. 9.37-04 51-99 9 Moon's U. L. . . 72.21.14-80 30-06 46-5 3. 2-85 56. 8-79 53.21-21 0-72 110. 2.28-51 110. 17. 49-66 51-98 22 Moon's U. L. . . 31. 9.31-90 30-29 76-5 0. 33-75 58. 20-49 29.58-17 + 0-75 69.11.33-24 69. 27. 30-50 51-82 23 Moon's U.L... 33. 9.41-80 30-06 76-5 0.36-19 57.21-85 31. 9-90 + 0-65 71.10.34-11 71. 26. 15-29 51-80 24 Moon's U. L. . . 36. 9. 1-20 30-08 57-5 0. 42-03 56. 27 36 33. 5-71 -t-0-54 74. 8. 3-98 74. 23. 30-22 51-80 26 Moon's U. L. . . 43.58.47-10 30-14 47-5 0. 56-75 55. 1-63 38. 0-80 -I-0-27 81. 53. 10-72 82. 8. 13-46 51-78 30 Moon's U.L... 61.26. 7-00 29-82 50-5 1.45-91 54. 2-36 47. 17-53 0-33 99. 12. 5-80 99. 26. 52-29 51-75 31 Moon's U.L... 65. 14. 65-30 29-67 51-5 2. 3-99 54. 7-62 48. 59-54 0-50 102.59.30-73 103. 14. 18-66 51-74 June 4 Moon's U. L. . . 73. 23. 24-00 29-65 59-5 3. 6-95 55. 22-23 52. 54-78 0-78 111. 5. 8-37 111.20.16-75 51-72 27 Moon's U. L. . . 63.49.36-10 29-69 56-5 1. 55-28 54.11-06 48. 27-78 0-45 101.34.34-36 101.49.23-24 51-78 29 Moon's U. L. . . 70. 12.41-10 29-56 53-5 2. 37-08 54. 37-39 51.14-69 0-63 107. 55. 35-26 108. 10. 31-35 51-79 30 Moon's U. L. . . 72. 15. 20-30 29-39 54-5 2. 64-82 54. 59-81 52. 13-89 0-72 109. 57. 33-29 110. 12. 35-53 51-81 July 1 Moon's U. L. . . 73. 18. 36-00 29-67 53-5 3. 8-46 55. 26-44 52. 57-46 -0-77 111. 0. 19-20 111. 15.28-74 51-83 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb whicli was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 3 p and q cos. N. P. 0. to the corrected Quadrant Reading. 90 - p = 38. 31'. 28" -97: q = U"'16. () Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 9"'79. (Z)2 (172) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquit) of ErllptiC. 23. 27'. , o / a in. , , , a I o < a o / n July 4 Moon's U. L. . . 69. 35. 47-30 30-04 46-5 2. 36-75 56. 58-00 53. 13-94 0-61 107. 16. 41-79 107. 32. 16-43 51-87 5 Moon's U. L. . . 66. 10. 29-80 30-07 46-5 2. 12-49 57. 29-02 52. 24-92 0-54 103.51.48-47 104. 7.31-61 51-88 (j Moon's U. L. . . 61. 54. 33-90 30-14 47-5 1. 49-84 57.59-18 50. 58-52 0-36 99. 36. 55-6!) 99.52.47-10 51-90 20 Moon's U. L. . . 44. 32. 21-00 29-80 70-5 0. 54-63 55. 44-23 38. 53-62 + 0-27 82. 25. 49-78 82.41. 4-20 52-15 25 Moon's U. L. 65. 58. 49-20 29-73 60-5 2. 6-15 54. 18-40 49. 26-56 32 after 4-56 0-12 103.42.55-54 103. 57. 46-43 52-27 26 Moon's U. L. . . 69. 7.22-60 29-95 62-5 2. 27-56 54. 32-04 50. 47-92 0-59 106. 50. 33-85 107. 5.28-48 52-29 28 Moon's U. L. . . 73. 0. 0-50 29-94 61-5 3. 3-58 55. 23-82 52. 49-70 -0-77 110. 41.46-52 110.56.55-34 52-34 31 Moon's L. L. (') Moon's U. L. (*) 71. 8.48-00 70. 37. 17-40 29-72 55-5 2. 45-55 2.40-81 57. 10-71 57. 10-77 53. 57-44 53. 46-88 0-65 0-65 108. 49. 8-03 108. 17.42-91 108. 33. 29-91 108.33.21-05 52-42 Aug. 4 Moon's TJ. L. . . 53. 23. 36-90 29-93 52-5 1. 17-73 58. 56-36 47. 6-86 0-06 91. 9.16-90 91.25.23-99 52-52 7 Moon's U. L. . . 38. 14. 29-70 29-81 58-5 0. 44-84 59. 16 60 36. 28-40 + 0-52 76. 10. 12-96 76. 26. 25-59 52-60 8 Moon's U. L. . . 34. 26. 14-30 29-85 62-5 0.38-76 59. 12-73 33. 15 91 + 0-60 72.25. 3-35 72.41.14-93 52-63 23 Moon's U. L. . . 70.41.16-80 29-86 64-5 2. 39"23 54. 35-68 51.22-26 0-66 108. 24. 4-60 108.39. 0-22 52-98 25 Moon's L. L. 73. 55. 49-90 30-05 62-5 3. 14-84 55. 37-78 53. 18-83 0-78 111.37.18-22 111.22. 5-57 53-02 26 Moon's L. L. 73. 40. 27-70 29-87 62-5 3. 10-56 56. 19-6S 53. 54-72 -0-77 111.21.15-80 111. 5.51-66 53-05 27 Moon's L. L. 72. 12. 22-40 29-99 57-5 2. 56-79 57. 5-10 54. 12-23 0-70 109. 5-2. 39-03 109.37. 2-45 53-08 28 Moon's L. L. 69. 32. 12-70 30-15 545 2. 34-26 57. 50-75 54. 2-19 0-58 107. 12. 16-46 106.56.27-36 53-09 29 Moon's L. L. (") Moon's U. L. ( d ) 65. 46. 23-50 65. 13. 44-30 30-15 54-5 2. 8-26 2. 5-11 58. 32-45 58. 32-48 53. 12-88 52. 58-78 0-50 0-50 103. 26. 49-95 102. 54. 17-98 103. 10.49-41 103. 10. 18-53 53-12 30 Moon's L. L. . . 61. 6.50-80 30-18 52-5 1.45-35 59. 6-82 51.34-59 0-29 98.48.31-95 98.32. 21-99 53-14 31 Moon's U. L. . . 55. 19. 18-80 30-09 53-5 1.23-71 59.31-03 48. 44-80 0-14 93. 3.27-13 93. 19. 43-72 53-15 Sep. 1 Moon's U. L. . . 49. 48. 44-40 29-85 57-5 1. 7-52 59. 43-99 45. 25'49 4-0-09 87. 35. 55-02 87.52. 15-16 53-18 2 Moon's U. L. . . 44.24. 0-30 29-72 57-5 0. 55-64 59. 45-26 41.35-62 +0-27 82. 14. 48-05 82.31. 8-54 53-20 5 Moon's U. L. . . 32. 18. 2-40 29-75 61-5 0. 35-69 58. 59-34 31. 18-13 + 0-70 70. 18. 45-87 70. 34. 53-78 53"26 6 Moon's L. L. . . 31. 7.10-10 29-87 60-5 0. 34-29 58. 34-30 30. 3-27 + 0-76 69. 9. 6-88 68.53. 5-84 53-28 17 Moon's U. L. . . 63. 15. 5-70 29-97 66-5 1.51-24 54.10-11 48. 12-32 0-41 101. 0.15-31 101.15. 3-93 53-42 18 Moon's U. L. . . 66. 53. 2-80 29-84 68-5 2. 10-01 54. 6-97 49. 36-74 0-54 104.37. 7-32 104. 51. 55-07 53-42 20 Moon's U. L. . . 72. 5. 10-30 29-86 68-5 2. 50-95 54. 30-85 51. 43-39 0-72 109. 47. 49-89 110. 2.44-19 53-44 The Moon's U. L. or C. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. 1). is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 3(5. 31'. 28" -97: q = 11" "16. () Observed at Transit of 1 L. (") Observed at Transit of 2 L. Correction applied for defective illumination, 0"'24. ( c ) Observed at Transit of 1 L. ( d ) Observed at Transit of 2 L. Correction applied for defective illumination, 3"'61. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (173) Year, Month, and Day. ! Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion w;is made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L.orL.L., at Transit of 1 L.or2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular bliquit) of Ecliptic. 23.27'. 1795. Sep. 21 Moon's U. L. . . O ' '/ 73.22. 0-80 in. 29-98 o 60-5 i a 3. 8-38 / // 54. 58-84 / // 52.32-14 U 0-78 / /' 111. 4. 9-24 o / '/ 111.19.11-21 // 53-45 22 Moon's L. L. 74. 6. 9-30 2994 58-5 3. 17-88 55. 37-07 53. 20-94 -0-79 111.47.38-56 111.32. 26-10 5345 24 Moon's L. L. 71. 4.41-30 30-08 56-5 2. 46-58 57. 10-60 54. 1-66 40 after + 4-32 0-07 108.45. 3-03 108. 29. 23-29 53-46 27 Moon's L. L. 58. 26. 12-30 30-18 49-5 1. 35-27 59. 48-30 50. 45-06 0-27 96. 8.32-40 95.52. 11-07 53-48 28 Moon's L. L. 52. 50. 34-70 29-8-2 50-5 1. 16 23 60. 20-37 47. 53-24 o-oo 90. 35. 26-78 90. 18. 56-66 53-48 29 Moon's U. L. . . 46. 35 26-30 29-69 59-5 0. 59-75 60. 36-32 43. 48-75 + 0-24 84.24. 5-42 84. 40. 39-91 53-48 30 Moon's U. L. . . 41. 11.53-60 29-98 55-5 0. 50-39 60. 35-28 39.41-23 + 0-39 79. 4.30-01 79.21. 4-21 53-48 Oct. 1 Moon's U. L. . . 36.32. 4-10 29-86 59-5 0.42-15 60. 18-53 J5. 40-78 + 0-54 74.28.31-99 74.45. 1-60 53-48 2 Moon's U. L. . . 32. 57. 37-50 29-95 54-5 0. 37-38 59.49-17 32. 19-41 + 0-69 70. 57. 21-49 71.13.43-05 53-49 5 Moon's L. L. 31. 12.27-40 29-79 48-5 0. 35-16 57. 48-87 29. 44-54 -r-0-77 69. 14. 43-80 68. 58. 55-22 53-49 6 Moon's L. L. 33. 9. 32-90 30-04 44-5 0. 38-56 57. 9-18 31. 3-01 -r-0-68 71. 10.34-50 70. 54. 56-79 53-48 19 Moon's L. L. 74. 23. 45-90 29-5-2 61-5 3. 17-65 54. 50-16 52. 40-55 -0-81 112. 5.57-14 111.50.57-55 53-40 24 Moon's L. L. 61.15.45-80 29-30 5G-5 1. 42-07 59. 6-38 51. 38-63 0-27 98. 57. 19-73 98.41. 9-90 53-34 25 Moon's L. L. 55. 54. 14-30 29-8 1 51-5 1.25-10 60. 0-97 49. 30-20 0-14 93. 37. 38-83 93.21. 14-03 53-34 26 Moon's L. L. 50. 9. 19-80 29-78 45-5 1. 9-88 60. 44-06 46. 25-39 + 0-13 87.55.33-12 87. 38. 56-51 53-33 27 Moon's L. L. (') 44. 25. 10-00 29-5) 54-5 0. 55-62 01. 10-56 42. 36-01 + 0-27 82. 14. 57-52 81. 58. 13-65 53-31 28 Moon's L. L. 39. 8. 38-50 29-32 49-5 0. 46-39 61. 16-72 38. 27-66 -t-0-54 77. 2.24-45 76. 45. 38-89 53-30 2f) Moon's U. L. . . 34. 15. 14 80 29-28 48-5 0. 38-85 61. 2-11 34. 7-70 + 0-63 72. 13. 12-39 72. 29. 53-94 53-29 30 Moon's U. L. . . 31. 15.53-60 29-76 45-5 0. 35-43 60. 29-44 31.10-18 + 0-76 69. 16. 44-90 69.33.17-50 53-28 Nov. 1 Moon's L. L. 30. 33. 32-10 29-09 45-5 0. 33-67 58. 50-37 29. 41-86 -t-0-81 68. 35. 49-89 68. 19.44-44 5325 2 Moon's L. L. 32. 9. 1-50 29-79 37-5 0. 37-32 57. 55-87 30. 36-84 + 0-72 70. 10. 28-15 69. 54. 37-65 5324 3 Moon's L. L. 34.54. 7-40 30-08 30-5 0. 42-45 57. 4-26 32. 26-72 10 after 1-27 + 0-8 72. 53. 48-60 72. 38. 12-24 53-21 19 Moon's L. L. 67. 49. 58-80 29-11 39-5 2. 20-90 56.49-81 52.28-15 -0-54 105. 31. 22-97 105. 15. 50-57 53-01 20 Moon's L. L. 63. 39. 25-70 29-43 31-5 1.59-47 57.45-31 51.35-11 0-4 101.21.20-85 101. 5.33-25 53-00 21 Moon's L. L. 59. 43. 58-90 i 29-61 35-5 1. 37-35 58. 44-24 50. 1-22 0-27 96.27. 5-06 96. 11. 1-30 52-99 23 Moon's L. L. 47. 33. 48-30 29-65 37-5 1. 4-58 60. 31-78 44. 27-64 + 0-22 85. 21. 53-68 85. 5.20-44 52-97 24 Moon's L. L. . . 41.59.58-60 28-94 41-5 0.51-48 61. 8-59 40.41-57 + 0-40 79.51.36-11 79. 34. 52-78 52-96 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed l>v adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p = 38.31'.28"-97: q=ll'''16. From 1795, Oct. 19, 90-p=38.31'.30"-82: q=10''-99. From 1795, Oct. 24, 90-p=38 .31'.29''-09 : q = 10"'73. (") Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = 15" '71. (174) KEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright 1 .ii 11! ' passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of I L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1795. Nov. 25 Moon's L. L. O 1 " 37. 2. 7-20 29-15 31-5 / // 0. 44-39 / // 61.26-54 / // 36. 46-97 1 " // + 0-54 o / // 74. 57. 31-47 O / " 74. 40. 43-22 a 52-94 28 Moon's L. L. 30. 6.48-10 29-97 27-5 0. 35-39 60. 13-70 29. 59-69 + 0-84 68. 8. 49-74 67.52.21-46 52-92 Dec. 2 Moon's L. L. 41. 1. 4-70 29-75 42-5 0. 51-03 56.24-31 36. 48-92 + 0-45 78. 56. 34-29 78.41. 8-89 52-88 19 Moon's L. L. 55. 39. 46-40 29-38 50-5 1.23-27 58. 17-71 47. 56-73 0-14 93. 24. 42-53 93. 8.46-05 52-89 20 Moon's L. L. 50.13. 3-60 29-58 47-5 1. 9'27 59. 7-60 45.14-12 -f-0-18 88. 0.27-65 87. 44. 17-48 52-89 22 Moon's L. L. 39. 33. 15-80 29-60 49-5 0. 47-52 60.32-81 38. 20-24 + 0-49 77.27. 10-33 77.10.36-81 52-90 23 Moon's L. L. 35. 7.30-50 30-16 44-5 0.41-67 60. 57-35 34. 50-88 -r-0-63 73. 4.47-89 72.48. 7-64 52-91 26 Moon's L. L. 30. 18. 50-90 30-24 34-5 0. 35-47 60. 18-40 30. 12-99 + 0-81 68. 20. 39-32 68. 4. 9-74 52-93 29 Moon's L. L. 39. 1.40-40 29-73 38-5 0. 47-92 57. 36-27 36. 3-87 + 0-54 76.57.51-60 76.42. 6-53 52-98 30 Moon's L. L. 43. 32. 52-00 30-08 40-5 0. 56-60 56. 39-50 38. 50-03 + 0-31 81.26.26-37 81.10.56-80 52-99 31 1796. Jan. 1 Moon's L. L. Moon's L. L. 48. 19. 44-40 53. 8.48-00 29-88 29-81 37-5 38-5 1. 6-85 1. 18-98 55. 49-12 55. 7-49 41.30-11 43. 55-53 + 0-20 o-oo 86. 10. 49-72 90. 57. 40-72 85. 55. 33-96 90. 42. 36-38 53-00 53-01 2 Moon's L. L. 57. 49. 22-90 29-62 39-5 1.3321 54. 36-03 46. 2-39 -0-23 95. 36. 23-63 95.21.27-91 53-02 15 Moon's L. L. 57. 19. 10-90 30-00 50-5 1. 30-52 57. 35-82 48. 17-64 0-18 95. 3. 53-64 94.48. 8-63 53-26 16 Moon's L. L. 52. 2. 36-70 30-15 50-5 1. 14 89 58. 10-58 45. 40-48 + 0-04 89. 49. 40-21 89.33.45-68 53-27 n Moon's L. L. 46. 40. 37-90 30-12 43-5 1. 2-81 58. 45-38 42. 32-38 -r-0-27 84. 30. 3(5-66 84. 14. 32-58 53-30 18 Moon's L. L. 41.30.57-70 30-01 60-5 0. 51-53 59. 18-33 39. 5-76 + 0-40 79. 24. 10-98 79. 7.57-87 53-33 19 Moon's L. L. 36.54. 8-30 29-67 48-5 0. 44-41 59. 46-68 35. 40-53 + 0-54 74. 50. 39-00 74.34. 18-12 53-34 21 Moon's L. L. 30. 50. 31-80 29-55 50-5 0. 34-24 60. 14-93 30. 39-91 + 0-81 68.51.52-16 68. 35. 23-53 53-40 22 Moon's U. L. . . 29. 29. 51-30 29-38 49-5 0. 32-32 60. 8-68 29. 23-44 -I-0-85 67. 32. 26-02 67. 48. 52-93 53-42 24 Moon's L. L. 33. 19. 51-40 29-38 45-5 0. 37-88 59. 12-60 32. 18-96 + 0-67 71.19.36-64 71. 3.25-10 53-48 25 Moon's L. L. 36. 54. 58-60 29-12 43-5 0. 43-06 58. 27-69 34. 54-05 -r-0-54 74. 52. 14-44 74.36.15-21 53-50 26 Moon's L. L. 41. 17. 46-40 29-02 44-5 0. 50-06 57. 37-25 37. 49-16 + 0-40 79. 12. 14-78 78. 56. 29-39 53-53 29 Moon's L. L. 55. 55. 50-50 29-33 41-5 I. 25-55 55. 16-24 45. 36-23 0-14 93.43. 9-47 93.28. 2-74 53-59 30 Moon's L. L. 60.31.56-10 28-97 43-5 1. 40 61 54.43-71 47. 28-70 38 after 6-90 0-75 98. 17. 30-99 98. 2.33-17 53-63 31 Moon's L. L. 64. 43. 19-50 28-90 42-5 2. 0-15 54. 21-55 48. 59-62 28 after 4-54 0-80 102. 27. 46-10 102.12.54-35 53-67 Feb. 1 Moon's L. L. 68.21.45-00 29-13 37-5 2. 25-39 54. 10-49 50. 12-34 0-54 106. 5.29-57 105.60.40-85 53-69 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38.31'.29"-09 -. q = 10" "73. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (175) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Geocentric N.P.D. ofU.L.orL. L. at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1790. Feb. 2 Moon's L. L. O ' // 71. 18. 45-90 in. 29'4 33-5 ' a 2. 53-60 / a 54. 10-21 ' * 51. 10-20 t g II 0-63 O / // 109. 2. 1-26 O ' H 108. 47. 12-62 53-72 14 Moon's L. L. 42.55. 14-30 2!)-43 42-5 0. 53-96 58. 52-47 39. 52 92 + 0-36 80. 47. 43-07 80.31.37-05 54-02 15 Moon's L. L. 38. 9. 18-20 29-78 41-5 0. 46-25 59. 6-95 36. 18-30 + 0-54 76. 5. 13-14 75.49. 3-15 54-04 17 19 20 Moon's L. L. Moon's U L. . . 31.26. 3-70 29.44. 41-20 29'8(J 29'95 30-00 43-5 47-5 44-5 0. 35-86 0. 33-42 0.36-10 59. 22-58 59. 11-85 58. 53-54 30. 44-81 29. 9-01 30. 32-46 76 after + 6-36 + 0-05 + 0-81 +0-76 69. 27. 26-48 67.47.31-45 69. 30. 42-33 69.11.12-21 68. 3.42-78 69. 40. 48-65 54-10 54-15 54-18 Moon's U. L. . . 31.29. 12-80 22 Moon's U. L. ( a ) 38.30. 21-30 29-90 40-5 0. 47-28 57. 52-15 35.53-77 76. 32. 41-40 76. 48. 30-88 54-22 23 Moon's L. L. . . 43. 49. 40-00 29-93 35-5 0. 57-47 57. 12-68 39.24-91 + 0-31 81.42.40-41 81.27. 1-75 54-24 24 Moon's L. L. 48.49.18-40 30-15 33-5 1. 921 56.31-21 42. 20-77 -f-0-18 86. 39. 35-48 86.24. 8-18 54-26 27 Moon's L. L. . . 03. 8.39-80 30-10 29-5 2. 0-03 54. 45-36 48.41-19 15 before + 2-61 -0-20 100.53.32-17 100. 38. 33-89 54-34 Mar. 16 Moon's L. L. (") 30. 6. 56-90 30-06 52-5 0. 33-70 59. 4-85 29. 25-52 68. 9.30-18 67. 53. 20-70 5460 17 18 19 Moon's U. L. . . Moon's U. L. . . 29. 18. 47-30 30. 34. 8-90 30-00 30-00 30-24 46-5 41-5 41-5 0. 32-96 0. 35-03 0. 39-07 58. 46-87 58. 25-39 58. 0-83 28. 33-57 29. 29-74 31.31-57 47 after 45 after 40 after 0-95 3-44 4-97 -r-0'04 + 0-05 4-0-07 67. 22. 10-74 68. 36. 35-98 71. 10 42-03 67.38. 15-22; 68. 52. 35-58 71.26.33-88 54-61 54-62 54-64 Moon's U. L. 33. 10. 13-80 25 Moon's L. L. 61.28.23-60 29-58 41-5 1.47-20 54. 59-39 48. 8-70 24 before + 4-43 -0-10 99. 13. 37-24 98.58.35-12 54-66 27 Moon's L. L. . . 09. 19. 43-80 29-51 29-5 2. 37-38 54. 19-33 30. 40-54 30 before + 4-00 -0-13 107. 3. 16-75 106. 48. 25-60 54-66 28 Moon's L. L. 72. 10. 18-40 29-60 28-5 3. 511 54. 11-08 51.26-44 45 before H-4-43 0-05 109.53.34-19 09. 38. 45-30 54-67 Apr. 13 Moon's U. L. (', 28. 57. 58-30 29-99 49-5 0. 32-28 59. 16-07 28. 28-90 67. 1.26-52 07. 17. 39-01 54-Gl 14 Moon's U. L. . . 29. 47. 43-30 29-95 50-5 0. 33-28 58. 40-84 28. 56-43 30 after 1-84 + 0-20 67. 50. 43-55 68. 6. 46-39 54-61 16 Moon's U . L. 35. 25. 29-60 30-00 53-5 K41-15 57.27-91 33. 5-78 30 after 4-51 + 0-13 73. 24. 26-62 73.40. 9-46 54-59 The Moon's U. L. or L. FJ. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the Tables above are those corresponding to the time of passage of the limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90" _ p =38. 31'. 29" '09 : q = 10" '73. (*) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = + 11" -66. ( b ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 2" '99. 0) C) The correction for time of passage of Semidiameter has not been applied to either of these observations to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in these instances, represent the N. P. D. of Limb and Center at Transit of Center. (") Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = + 0" 13. This is not applied to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ; " which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. (116) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Jaro- meter. fher- mo- meter. Refrac- tion. Tabular Horizontal Kquatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Litnb passed the Meridian. Cor- ection for nter- val. Correc- tion for Curva- ture of Path. Increase of Moon's N. P.D. during the passage of Semi- diameter. Geocentric N. P. D. of U. L. or L.L. and of Center, at Transit of 1 L. or 2 1,. Tabular Obliquity of Ecliptic. i3.27'. O ' " In. / // / ,i / // t , I a it 1796. 1 Apr. 17 Moon's U. L. . . 39. 38. 18-40 30-00 54-5 0. 47-82 56. 53-05 36. 4-85 + 11-76 77. 34. 16-39 54-58 r | 77. 49. 49-68 18 Moon's U. L. . . 44. 22. 59-20 30-06 52-5 0. 56-82 56.20-16 39. 12-14 + 12-58 82.15.58-95 54-57 ! 82. 31. 23-22 19 Moon's U. L. . . 49. 23. 28-60 30-00 50-5 1. 7-82 55. 49-77 42.11-39 + 12-85 87. 13. 40-75 54-56 87. 28. 56-fi9 20 VIoon's U. L. . . 54. 25. 33-50 29-90 45-5 1.21-80 55.22-10 44. 50-94 + 12-66 92. 13.21-21 54-55 92. 28. 29 55 21 Moon's L. L. () 59.47. 6-50 29-88 49-5 1.39-46 54. 57-34 47. 19-06 + 12-03 97. 32. 47-88 54-54 97. 1 7. 46-32 Moon's U. L. . . 59. 16. 56-40 1.37-50 54.57-31 47. 4-11 + 12-03 97. 3.12-23 97. 18. 13-78 23 VIoon's L. L. . . 68. 10.48-40 29-91 55-5 2. 22-50 54. 19-51 50.16-83 27 after 3-97 0-16 05. 54. 21-97 54-51 105. 39. 30-78 24 VIoon's L. L. 71.22.31-40 30-05 42-5 2. 54-20 54. 8-33 51. 9-57 68 before + 7-14 0*01 109. 5. 56-36 54-50 108.51. 8-23 25 Moon's L. L. 73. 42. 35-70 30-14 41-5 3.21-27 54. 4-15 51. 45-62 40 before + 3-00 -0-09 111.25.47-27 54-49 111.11. 0-29 30 Moon's U. L. . . 69. 5.54-80 29-00 45-5 2. 27-76 56. 2-11 52. 11-31 25 before 3-45 0-21 106. 47. 39-78 54-42 107. 2.59-10 May 1 Moon's U. L. . . 65. 9. 13-60 29-23 51-5 2. 1-62 56. 53-92 51.27-68 11-50 102. 51. 7-52 54-42 j 103. 6.41-04 13 Moon's U. L. . . 34. 2.28-80 29-52 57-5 0. 37-28 58. 7-08 32. 19-08 50 after 7-OS + 0'0 72. 2. 5-72 54-28 72. 17. 59-29 16 Moon's U. L. . . 47. 41. 47-60 29-96 45-5 1. 4-48 55. 55-25 41. 9-70 I + 12-82 85. 32. 57-82 54-24 85.48. 15-26 17 Moon's U. L. . . 52. 44. 16-80 30-07 46-5 1.17-21 65. 21-94 43. 52-57 + 12-7 90. 32. 57-92 54-23 90. 48. 6-22 18 Moon's U. L. . . 57. 39. 44-80 29-90 51-6 1.31-23 54. 54-40 46. 12-74 + 12-22 95.26.21-18 54-21 95.41.21-94 19 Moon's U. L. . . 62. 16. 56-60 29-8 50-5 1.49-63 54. 32-37 48. 6-71 + 11-3 100. 1.59-16 54-20 100.16.53-88 25 Moon's U. L. . 74.36. 2-90 29-7 46-5 3.28-16 54. 20-45 52. 14-94 2-6 112.18.46-68 54-14 112.33.38-13 26 Moon's U. L. . 73. 4.32-60 29-6 49-5 3. 7-37 54.43-13 52. 12-19 GO befor 4-100-01 i 110.46.56-56 54-14 111. 1.54-23 27 Moon's U. L. . 70.30.11-80 29.- 7 48-5 2.42-16 55. 14-65 51. 55-38 - 7-9 108. 12. 23-03 54-13 II 108. 27. 2!)-33 From 1796, April 17, the Moon's U. L. or L. L. was observed sometimes near the passage of the bright 1 L. or 2 L., sometimes near the passage of the Center. The latter will be distinguished from the former, in the tables above, by the insertion of numbers in the columns " Increase of Moon's N. P. D. during the passage of Semidiameter." The Geocentric N. P. D. of Limb and of Center are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p=38.31'.29"-09: q=10"73. (') Correction applied for defective illumination, + 2" -51. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (177) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatorcal Parallax. Parallax. Interval at which Observa- tion was made icfore or after the bright Limb passed the Meridian. Cor- rection for Inter- val. 'orrec- ion for Curva- iire of Path. Increase of Moon's N.P.D. during the passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L. and of Center, at Transit of J L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1796. o / " in. o / // / /* / // B a * J / II // May 31 Moon's U. L. . . 52. 7. 19-40 29-61 67-5 1.12-71 58. 38-38 46. 5-10 15-11 89. 53. 40-97 54-11 90. 9.43-14 June 1 1 Moon's U. L. . . 40. 57. 33-80 29-61 71-5 0. 47-80 57. 26-48 37. 26-69 + 12-66 78.52. 9-27 54-09 79. 7.51-71 13 Moon's U. L. . . 51. 2. 3-10 29-94 60-5 1. 10-62 55.48-41 43.11-93 40 after -8-22 o-oo 88. 51. 22-45 54-09 89. 6.38-02 15 Moon's U. L. . . 60. 47. 29-90 29-98 56-5 1. 42-45 54.41-11 47. 33-55 + 11-68 98.32.57-81 54-10 98. 47. 54-92 18 Moon's U. L. . . 71.48.47-40 30-15 54-5 2. 54-78 53. 57-83 51. 7-27 + 6-76 109. 32. 0-83 54-10 109. 46. 46-08 23 Moon's U. L. . . 71.30. 7-50 29-95 56-5 2. 49-87 54.51-16 51.52-11 25 before 2-70 0-24 109. 12. 34-94 54-14 109.27.34-81 24 Moon's U. L. . . 68. 17. 50-60 30-15 54-5 2. 24-77 55. 20-45 51. 15-67 55 before -7-92 o-oo 106. 0.23-83 54-15 106.15.31-72 25 Moon's U. L. . . 64. 15. 31-60 29-90 55-5 1. 58-56 55. 56-68 50. 13-40 11-32 101.58.36-76 54-16 102. 13. 54-59 28 Moon's U. L. . . 48.51.24-00 30-11 61-5 1. 5-33 68. 20-66 43. 43-99 -14-84 86. 39. 58-97 54-19 86. 55. 56-27 29 Moon's U. L 43. 20. 46-30 30-19 61-5 0. 54-05 59. 14-02 40. 26-68 -14-87 81.12.26-25 54-21 81.28.38-18 30 Moon's U. L. . . 38. 8. 36-20 30-08 64-5 0. 44-55 60. 3-08 36.52-14 -13-93 76. 3.41-19 54-21 76.20. 6-56 July 16 Moon's U. L. . . 73.18. 4-70 29-58 59-5 3. 5-28 54. 0-61 51. 35-32 + 5-12 111. 1. 0-62 54-49 111. 15.46-63 17 Moon's U. L. . . 74. 42. 38-50 29-81 565 3. 25-86 54. 3-95 52. 0-72 + 2-37 112.25.32-61 54-51 112.40. 19-54 18 Moon's L. L. 75. 31. 52-40 29-62 60-5 3. 34-54 54. 13-64 52. 22-37 0-63 113. 14.36-68 54-53 112.59.47-09 19 Moon's L. L. (') 74. 43. 43-00 29-94 54-5 3. 27-85 54. 28-74 52.25-10 -0-81 112.26.16-29 54-55 112.11.22-57 Moon's U. L. (") 74. 13. 44-60 3.21-14 54. 28-74 52. 17-15 0-81 111.56.18-19 112.11.11-91 20 Moon's U. L. . . 72. 18. 43-60 29-84 55-5 2. 57-73 54. 48-70 52. 4-34 15 before -1-45 0-40 110. 1. 607 54-58 110. 16. 5-26 25 Moon's U. L. . . 50. 37. 24-60 29-41 57-5 1. 8-46 57. 28-92 44. 14-07 14-26 88. 25. 31-79 54-70 88. 41. 14-90 Aug. 7 Moon's U. L. . . 52. 9.32-70 30-08 68-5 1. 12-35 56. 47'83 44. 39-57 + 13-78 89.57.19-04 55-01 90. 12. 50-89 The Moon's U. L. or L. L. was observed sometimes near the passage of the bright 1 L. or 2 L., sometimes near the passage of the Center. The latter will be distinguished from the former, ia the tables above, by the insertion of numbers in the column " Increase of Moon's N. P. D. during the passage of Semidiameter." The Geocentric N. P. D. of Limb and of Center are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p = 38.31'.29"-09: q=10"-73. From 1796, July IS, 90-p=38.31'. 27'' '35 : q = 10"'47. () Observed at Transit of 1 L. ( b ) Observed at Transit of 2L. Correction applied for defective illumination, 0"'85. GREENWICH LUNAK REDUCTIONS. 2 (A) (178) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- ! tion for Curva- ture of Path. Increase of Moon's N. P. D. during the passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L. and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1796. o / // in. / // / // / i' . IT II u o * // // Aug. 8 Moon's U. L. . . 57.20. 1-90 29-90 71-5 1. 26-54 55. 58-20 46. 56-0-2 25 after 5-10 0-09 95. 5. 55-51 55-04 95.21. 13-76 9 Moon's U. L. (') 62. 7 22-30 29-69 71-5 1.44-02 55. 16-18 48.40-99 30 after 5-57 0-09 99.51.48-81 55-07 100. 6. 55-53 12 Moon's U. L. . . 72. 37. 33-10 29-95 64-5 2. 58-46 54. 9-98 51.32-95 25 after 2-30 0-24 110. 20. 27-06 55-15 110. 35. 15-64 14 Moon's L. L. (") 75.36. 6-80 30-12 63-5 3. 37-91 54. 15-97 52. 25-64 20 after 0-13 0-40 113.18.51-96 55-20 113. 4. 1-74 15 Moon's L. L. . . 75. 11. 16-50 30-27 56-5 3. 35-88 54. 31-36 52. 34-50 23 after + 0-90 0-31 1 12. 53. 40-89 55-23 112.38.55-45 16 Moon's L. L. . . 73.38. 8-00 30-29 54-5 3. 15-93 54. 52-78 52. 30-94 20 after + 1-67 0-36 111.20.25-46 55-26 111. 5.25-15 18 Moon's L. L. 67. 23. 53-10 30-01 53-5 2. 18-14 55. 47-37 51.20-77 20 before 3-19 0-24 105. 6. 17-12 55-31 104.51. 1-84 19 Moon's L. L. 62. 59. 55-80 29-95 55-5 1. 52-43 56. 17-77 49. 59-39 15 before -2-82 0-20 100.43. 15-12 55-34 100. 27. 51-50 20 Moon's U. L. . . 57. 29. 37-90 29-89 67-5 1. 29-92 56. 49-93 47. 44-58 50 before -10-42 o-oi 95. 14.41T2 55-36 95.30. 13-27 Sep. 8 Moon's U. L. . . 71.51.34-50 29-87 69-5 2. 48-43 54. 23-78 51. 32-65 + 7-0(5 109. 34. 14-08 55-76 109.49. 6-44 9 Moon's U. L. . . 74. 1.23-40 29-94 68-5 3. 12-91 54.13-41 51.59-18 25 after 1-67 0-28 111.44. 6-41 55-78 111.58.55-93 11 Moon's L. L. 75. 39. 12-40 30-00 62-5 3. 38-29 54. 25-72 52. 35-79 30 after + 0-67 0-22 113.21.46-85 55-80 1 13. 6. 53-96 12 Moon's L. L. 74.31.42-30 30-10 60-5 3.23-69 54. 46-56 52.39-16 4-49 112.14. 2-63 55-82 111.59. 4-03 13 Moon's L. L. 72. 17. 13-60 29-98 60-5 2. 56-49 55. 14-91 52. 29-03 30 after + 3-30 0-18 109.59. 15-11 55-82 109. 44. 8-73 14 Moon's L. L. 69. 0.30-30 29-94 61-5 2. 26-95 55. 48-71 51.57-16 20 after + 2-98 0-24 106.42.33-19 55-84 106. 27. 17-57 15 Moon's L. L. 64. 49. 39-90 29-96 61-5 2. 0-37 56. 25-23 50. 53-75 18 after + 3-27 0-22 102.32. 1!)-19 55-86 102. 16. 53-53 16 Moon's L. L. ( c ) 59. 55. 52-20 29-93 60-5 1. 38-00 57. 2-41 49.11-12 0-27 97. 39. 47-56 55-88 97.24.11-71 Moon's U. L. ( d ) 69. 24. 17-30 1. 35-96 57. 2-45 48. 55-02 0-27 97. 8.21-23 97. 23. 57-09 17 Moon's U. L. . . 54. 0.48-90 2985 63-5 1. 17-70 57. 37-50 46. 20-00 56 before -12-48 o-oo 91.46.55-80 55-88 92. 2.41-26 The Moon's U . L. or L. L. was observed sometimes near the passage of the bright 1 L. or 2L., sometimes near the passage of the Center. The latter will be distinguished from the former, in the tables above, by the insertion of numbers in the column " Increase of Moon's N. P. D. during the passage of Semidiametcr." The Geocentric N. P. D. of Limb and of Center are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. I), is formed by adding Olufsen's 90 p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 3.31'.27"-35 : q = 10" '47. (*) This observation is specified " uncertain 5"." (") Observed Z. D. decreased 3 revolutions of the Micrometer. Correction applied for defective illumination, + 1" '93. ( c ) Observed at Transit of 1 L. ( d ) Observed at Transit of 2 L. Correction applied for defective illumination, 5"'39. SECT. II. INVESTIGATION OF MOON'S NORTH POLAH DISTANCE. (179) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Jorrec- ion for Curva- ture of Path. Increase of Moon's N. P. D. during the passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L. and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Kcli[,tic. 23.27'. 1796. O 1 II in. o / // / // / 7'. 1797. O 1 H in. / n / // / // a << II a O / " f May 5 Moon's U. L. . . 40. 17. 10-10 29-33 47-5 0. 48-52 58.31-93 37. 38-03 12 before + 2-55 + 0-02 + 14-43 78. 11.33-94 56-93 center 78. 27. 34-33 8 Moon's U. L. . . 57. 30. 34-20 29-85 39-5 1.32-81 57. 8-99 48. 1-12 + 14-81 95. 15. 19-39 56-90 95. 30. 57-04 13 Moon's CJ. L. . . 76.11.37-10 29-96 44-5 3.55-15 54. 40-34 52. 57-31 + 3-03 113.54. 9-56 56-83 114. 9. 6-46 14 Moon's U. L. . . 76. 40. 32-30 30-00 43-5 4. 4-48 54. 22-23 52. 46-28 0-31 114.23.21-80 56-83 114.38. 13-80 15 Moon's IT. L. . . 75. 56. 37-70 29-77 47-5 3. 48-05 54. 12-15 52. 26-54 3-46 113.39.27-30 56-81 113.54. 16-47 21 Moon's U. L. . . 52. 22. 25-60 29-94 59-5 1. 13-89 56.41-35 44. 42-29 14-53 90. 10. 10-05 56-74 90.25.40-13 June 5 Moon's U. L. . . 61. 6.16-00 30-10 51-5 1.45-24 56. 28-39 49. 15-89 + 13-85 98. 50. 0-46 56-66 99. 5.26-99 6 Moon's U. L. . . 66. 3.23-30 30-05 52-5 2. 10-06 55. 56-64 50. 57-85 + 12-29 103. 45. 53-06 56-66 104. 1. 10-88 10 Moon's U. L. . . 76. 40. 11-00 29-93 48-5 4. 1-30 54. 22-00 52. 45-97 + 0-96 114.22.58-96 56-64 114.37.50-84 18 Moon's U. L. . . 49. 17. 52-00 29-83 62-5 1. 5-60 56. 39-63 42. 45-43 14-46 87. 7.24-54 56-66 87.22.54-15 30 Moon's U. L. . . 48. 1.62-20 29-98 64-5 1. 2-81 58. 20-43 43. 10-29 26 after 6-15 + 0-06 85.51. 5-22 56-77 86. 7. 2-46 July 3 Moon's U. L. . . 64. 37. 13-60 29-63 59-5 1. 58-42 56. 5-26 50. 30-30 + 12-75 102. 19. 58-56 56-81 102.35.18-74 5 Moon's U. L. . . 72.36. 2-60 29-45 58-5 2. 57-33 55. 1-04 52. 21-10 + 8-25 110.18. 1-56 56-85 110.33. 4-13 6 Moon's U. L. . . 75. 6.58-70 29-52 55-5 3. 29-92 54. 37-49 52. 39-08 + 5-28 112.49. 15-67 50-86 113. 4.11-79 13 Moon's U. L. . . 61. 42. 43-90 29-74 61-5 1. 44-48 54. 37-33 47. 55-68 12-05 99. 27. 49-72 56-99 99. 42. 45-80 15 Moon's U. L. . . 51.21.28-50 29-90 64-5 1. 10-45 55. 44-55 43. 20-80 -13-77 89. 10.31-58 57-04 89. 25. 46-09 17 Moon's U. L. . . 40. 33. 52-00 29-93 64-5 0.48-31 57. 24-70 37. 7-53 -13-95 78.28.44-09 57-07 78. 44. 2(i-05 27 Moon's U. L. . . 45. 44. 37-80 29-86 78-5 0. 56-20 59. 34-43 42. 27-34 + 16-50 83. 34. 10-34 57-30 83. 50. 33-87 The Moon's U. L. or L.L. was observed sometimes near the passage of the bright 1 L. or 2 L., sometimes near the passage of the Center. The latter will be distinguished from the former, in the tables above, by the insertion of numbers in the column " Increase of Moon's N. P. D. during the passage of Semidiameter." The Geocentric N. P. D. of Limb and of Center are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 27" '35 : q = 10" '47. ' SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (183) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Interval at which Observa- tion was made before or after the bright Limb passed the Meridian. Cor- rection for Inter- val. Correc- tion for Curva- ture of Path. Increase of Moon's N.P.D. during the passage of Semi- diameter. Geocentric N.P.D of U. L. or L. L. and of Center, at Transit of 1 L. or _' L. Tabular Obliquity of Ecliptic. 23. 27'. 1797. o / // in. i a / H / // . II it / ;/ // July 29 Moon's U. L. . . 57.43.31-40 29-71 77-5 1.26-27 57. 40-74 48. 34-74 + 15-16 95.27.36-12 57-34 95. 43. 22-47 30 Moon's U. L. . . 63. 8. 3-70 29-58 71-5 1.48-17 56. 47-06 50. 28-82 -r- 13-59 100. 50. 38-78 57-37 101. 6. 10-42 31 Moon's U. L. () 67.51. 7-00 29-64 67-5 2. 15-61 55. 59-59 51.41-96 -r-11'57 105. 32. 59-24 57-39 105. 48. 17-87 Aug. 2 Moon's U. L. . . 74. 32. 20-50 29-62 59-5 3. 20-98 54. 48-34 52. 40-77 + 6-19 112. 14.25-83 57-45 112.29.24-93 3 Moon's U. L. . . 76.14.27-20 29-64 58-5 3. 46-73 54. 25-04 52.43-10 + 3-02 113.56.59-41 57-47 114. 11.52-11 5 Moon's L. L. 76.31. 4-40 29-90 56-5 3. 54-41 54. 0-42 52. 23-24 3-39 114.14.10-61 57-53 113.59.24-66 6 Moon's L. L. 74. 39. 30-90 29-98 56-5 3. 26-31 53. 57-93 51. 54-40 6-19 112.22.40-34 57-56 112. 7.55-06 8 Moon's L. L. 08. 2. 19-50 29-54 59-5 2. 18-61 54. 10-08 50. 5-08 -10-32 105. 45. 52-90 57-61 I 105.31. 4-29 9 Moon's U. L. . . 63. 7. 5-20 29-76 56-5 1.52-06 54. 24-82 48. 21-98 11-74 100. 51. 52-86 57-64 101. 6.45-51 11 Moon's U. L. . . 52. 56. 34-70 29-62 52-5 1. 15-69 55.12-64 43. 52-35 20 after +4-31 o-oo -13-44 90. 45. 16-40 57-69 center 91. 0.22-16 The Moon's U. L. or L. L. was observed sometimes near the passage of the bright 1 L. or 2 L., sometimes near the passage of the Center. The latter will be distinguished from the former, in the tables above, by the insertion of numbers in the column " Increase of Moon's N.P. D. during the passage of Semidiameter." The Geocentric N. P. D of Limb and of Center are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 -p =38. 31'. 27" -35 : q = 10" '47. (') This observation is specified in MS. " uncertain to 5"." (184) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N. P. D. during the passage of Semidiarneter. Geocentric N. P. D. ofU. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1797. Aug. 12 Moon's TJ. L. / II 47. 33. 27'30 29-64 o 51-5 / // 1. 2-70 / // 55. 46-37 / // 40. 57-68 H 13-80 / // 85. 24. 45-03 / a 85.40. 0-03 ft 57-72 13 Moon's U. L. 42. 14. 7'70 29-71 54-5 0. 51-89 56. 26-90 37. 44-34 13-66 80. 8.27-15 80. 23. 53-26 57-74 16 Moon's U. L. 29. 20. 35-70 29-81 57-5 0. 32-06 58. 58-63 28. 40-90 8-12 67. 23. 42-07 67.39.49-78 57-83 27 Moon's U. L. 66. 21. 33-30 29-69 69-5 2. 5-93 56. 57-29 52. 0-39 + 12-91 104. 2.55-82 104. 18. 30-27 58-08 30 Moon's U. L. ( a ) Moon's L. L. (") 76. 0. 2-00 76. 29. 59-40 29-68 60-5 3. 42-24 3. 50-46 54. 47-53 54. 47-53 53. 1-54 53. 8-68 + 4-11 113.42.13-36 114.12. 8-95 113.57. 12-23 113.57.10-08 58-14 Sep. 2 Moon's L. L. 75. 29. 56-00 29-87 52-5 3. 39-45 54. 2-91 52. 11-56 - 5-41 113. 13. 0-78 112.58. 14-14 .58-20 4 Moon's L. L. 69. 22. 24-60 30-03 49-5 2. 33-91 54.13-00 50. 35-52 9-95 107. 6. 3-37 106. 51. 13-96 58-24 9 Moon's U. L. 43. 38. 30-50 29-89 44-5 0. 55-96 56. 4-51 38. 29-90 13-78 81. 3-2. 8-59 81.47.28-57 58-33 12 Moon's U. L. 30. 8. 6-00 29-67 53-5 0. 33-22 57. 56-56 28. 52-43 9-00 68. 11. 1-25 68. 26. 51-94 58-37 14 Moon's L. L. 27. 10. 57-40 29-66 50-5 0. 29-56 59. 19-43 26. 52-88 0-37 65. 15. 56-69 64. 59. 43-28 58-39 28 Moon's L. L. 77. 32. 28-30 29-82 58-5 4. 11-74 54. 27-15 53. 2-42 1-39 115.15. 10-83 115. 0. 17-54 58-49 29 Moon's L. L. 76.24.21-10 29-66 55-5 3. 51-09 54. 13-06 52. 33-99 4-49 114. 7. 14 32 113.52.2490 58-50 Oct. 1 Moon's L. L. 70.54. 3-30 29-86 51-5 2. 45-44 54.15-13 51. 7-19 9-38 108.37.21-62 108.22.31-63 58-50 4 Moon's L. L. 56. 53. 29-00 29-97 51-5 1. 28-79 55. 13-71 46. 4-99 13-56 94. 40. 34-56 94. 25. 28-52 58-50 6 Moon's U. L. 45. 19. 12-80 29-79 48-5 0.58-65 56.11-19 39. 42-29 -14-27 83. 11.41-00 83.27. 2-81 58-49 7 Moon's U. L. . . 39.56. 4-70 29-85 46-5 0. 48-87 56. 41-48 36. 11-05 13-74 77. 51. 53-93 78. 7. 24-04 58-50 8 Moon's U. L. .. 35. 1.41-90 29-85 53-5 0. 40-35 57. 11-71 32. 37-03 - 12-42 73. 0.57-09 73. 16.35-49 58-49 11 Moon's L. L. 27. 2.40-00 30-19 46-5 0. 30-16 58. 36-47 26. 25-87 1-92 65. 8. 5-32 64.62. 3-69 58-48 12 Moon's L. L. 27. 16. 33-90 30-14 47-5 0. 30-35 59. 1-26 26. 49-78 + 3-10 65.21.40-55 (>5. 5. 32-12 58-47 13 Moon's L. L. 29. 15. 31-80 29-78 46-5 0. 32-64 59. 22-55 28. 48-03 -r 7-93 (7. 18. 47-65 67. 2. 33-39 58-47 27 Moon's L. L. 75.23.19-10 29-71 42-5 3. 41-21 54. 16-30 52. 22-91 6-18 113. 6.15-04 112.51.24-73 58-34 30 Moon's L. L. 64. 14. 29-50 29-54 42-5 2. 0-22 64. 40-40 49. 4-71 12-06 101.59. 6-59 101.44. 9-67 08-30 31 Moon's L. L. 59. 11. 27-40 29-31 39-5 1. 37-28 55. 6-87 47. 9-79 13-25 96. 57. 36-76 96. 42. 32-59 58-29 Nov. 1 Moon's L. L. 53.45.17-10 30-18 36-5 1.22-09 55. 39-46 44.42-18 14-13 91. 33. 38-77 91.18.25-65 58-28 3 Moon's L. L. 42. 32. 15-40 29-63 45-5 0. 63-27 56. 53-38 38. 14-95 14-46 80. 26. 33-79 80.11. 0-42 58-25 Moon's U. L. 28. 40. 48-40 29-94 46-5 0. 32-05 58.29-05 27.51-00 8-07 66. 44. 44-60 67. 0.44-20 68-21 10 Moon's L. L. 31.25.36-90 30-25 38-5 0. 36-79 59. 12-70 30. 39-31 + 10-66 69.27. 8-71 69.10.57-14 58-16 From 1797, Aug. 12. The Moon's U. L or L. L. was usually observed when the Center was passing the Meridian. The Geoeentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 27" -35 : q = 10" "47. (") Observed at Transit of 1 L. Correction applied for curvature of path, 0"'90. ( b ) Observed at Transit of Center. Correction applied for defective illumination, + 0"'24. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (185) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. iTabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N. P. D. during the passage of Seroidiameter. Geocentric N.P.D. ofU.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabulai Obliquity of Ecliptic. 23. 27'. 1797. O 1 11 in. o / H t 11 ' /' ' // O ' // Nov. 12 Moon's L. L. 41.17. 5-40 29-97 30-5 0. 53-21 59. 2-74 38. 44-79 + 15-55 79. 10. 54-75 78. 54. 45-91 58-12 23 Moon's L. L. 76.25. 4-30 29-34 32-5 4. 0-17 54. 26-41 52. 47-13 5-09 114. 7.54-06 113.53. 0-98 58-00 27 Moon's L. L. 61.31.34-80 29-70 46-5 1. 46-75 54. 42-12 47. 55-03 12-61 99.17. 8-17 99. 2. 10-78 57-96 Dec. 2 Moon's L. L. 34. 42. 39-30 29-17 39-5 0.40-11 58. 10-77 32. 54-93 12-83 72.42. 1-55 72.26. 6-96 57-92 3 Moon's U. L. 30. 3. 30-90 29-81 30-5 0. 34-90 58. 52-34 29. 16-18 9-42 68. 6.22-49 68. 22. 28-47 57-91 6 Moon's L. L. 27.34. 8-20 29-96 44-5 0. 30-73 59. 53-61 27. 29-89 + 5-05 65.38.37-12 65. 22. 14-34 57-90 12 Moon's L. L. 57. 34. 56-60 29-21 365 1. 31-65 57. 49-49 48. 37-69 + 15-79 95. 19. 34-67 95. 3.45-92 57-89 13 Moon's L. L. 63.17.28-60 28-84 39-5 1. 53-32 57. 19-39 51. 2-07 + 14-62 101. 0. 3-82 100. 44. 23-32 57-90 1798. Jan. 4 Moon's L. L. 32. 33. 29-70 29-51 47-5 0. 36-79 60.4176 32. 26-38 + 12-62 70. 33. 16-59 70. 16. 40-61 58-11 6 Moon's L. L. 43.27. 12-70 30-04 325 0. 57-29 59. 45-03 40. 52-91 + 16-64 81. 18. 59-49 81. 2.39-06 58-14 22 Moon's L. L. 55. 3. 34-30 29-95 47-5 1.23-53 54. 29-39 44. 29-34 13-14 92.52. 9-50 92. 37. 15-60 58-47 23 Moon's L. L. 49. 42. 12-60 30-36 40-5 1. 10-84 54. 57-31 41.43-59 13-54 87. 33. 20-29 87. 18. 18-74 58-50 25 Moon's L. L. 39.10. 4-30 30-25 36-5 0. 49-21 56.21-71 35. 23-63 13-21 77. 7. 8-11 76.61.43-42 58-55 27 Moon's L. L. 30.31. 0-60 30-01 38-5 0.35-19 58. 16-73 29. 22-69 9-67 68. 33. 46-29 68. 17. 50-07 58-60 28 Moon's L. L. 27. 47. 32-70 29-96 36-5 0. 31-55 59. 16-91 27. 25 32 5-80 65.52. 7-80 65. 35. 55-08 58-63 31 Moon's U. L. (') 29. 52. 23-70 29-44 36-5 0. 33-78 61. 17-76 30. 18-15 + 10-93 67.54. 2-74 68. 10. 48-59 58-71 Feb. 3 Moon's L. L. 47. 8.37-00 29-97 42-5 1. 3-66 60.26-17 44. 5-56 + 17-94 84. 57. 19-47 84. 40. 47-76 58-79 4 Moon's L. L. 53. 39. 41-90 30-40 32-5 1.23-10 59. 37-54 47. 49-95 + 17-54 91.25. 0-20 91. 8.41-82 58-82 6 Moon's L. L. 65. 32. 42-60 30-52 30-5 2. 15-08 57. 46-32 52. 25-29 + 14-37 103. 14. 16-51 102. 58. 28-63 58-87 7 Moon's L. L. 70. 20. 39-00 30-54 29-5 2. 51-90 56.53-14 53. 25-05 + 11-85 108. 1.48-29 107. 46. 14-98 58-91 21 Moon's L. L. 40.42.16-10 29-50 40-5 0. 50-25 55. 30-82 36. 0-20 13-08 78. 38. 44-52 78. 23. 33-79 59-23 22 Moon's L. L. 35. 52. 58-50 29-32 39-5 0. 42-10 56. 11-58 32. 43-83 -12-11 73. 52. 33-32 73. 37. 11-40 59'<>6 24 Moon's L. L. 28. 33. 18-60 29-45 44-5 0. 31-49 57. 54-35 27.27-89 7-25 66. 37. 52-65 66.22. 2-57 69-30 26 Moon's U. L. 26. 9. 5-50 30-00 36-5 0. 29-43 59. 47-75 26. 7-98 + 2-45 64. 14. 47-30 64. 31. 8-47 59-35 27 Moon's TJ. L. 27. 59. 52-40 30-20 37-5 0.32-01 60. 35-57 28. 13-16 + 8-05 66. 3.26-30 60. 20. 0-58 59-37 28 Moon's U. L. 31.41.52-30 30-11 35-5 0. 37-22 61. 9-04 31.54-26 + 12-98 69.41.46-00 69. 58. 29-46 59-39 Mar. 1 Moon's TJ. L. 36. 55. 47-90 30-07 39-5 0. 44-85 61.23-49 36. 39-64 + 16-44 74.51. 1-28 75. 7.48-69 59-42 The Moon's U. L or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Omfsen's 90' p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38 D . 31'. 27" -35 : q = 10" "47. (*) The correction for time of passage of Semidiameter has not been applied to this observation to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and of Center at Transit of Center. GREENWICH LUNAR REDUCTIONS. (186) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N. P.D. during the passage of Semi- diameter. Geocentric N. P. D. ofU. L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1798. o / n in. o / // t a / // M O / It O 1 It Mar. 9 Moon's U. L. 77. 25. 12-40 29-74 42-5 4.17-18 55. 30-04 54. 1-91 + 2-94 115. 7. 2-40 115. 22. 12-92 59-55 25 Moon's TJ. L. 26. 42. 13-00 29-80 41-5 0. 28-36 68. 28-34 25. 8-59 + 0-31 63.48.55-19 64. 4. 54-60 59-67 29 Moon's U. L. 39. 45. 52-20 29-56 35-5 0. 49-22 60. 50-63 38. 41-74 + 17-26 77.39. 7-53 77. 55. 45-94 59-69 Correction for Curvature of Path. a Apr. 6 Moon's L. L. . . 78. 33. 28-30 29-88 47-5 4. 40-67 55. 40-57 64. 26-40 0-99 116. 15. 13-56 116. 0. 0-15 59-66 7 Moon's U. L. 77. 33. 49-80 30-11 48-5 4.20-02 55. 1-30 53. 35-74 0-95 115. 16. 4-95 115.31. 7-60 59-66 11 Moon's U. L. 64.41.26-50 30-11 535 2. 2-19 54. 5-83 48. 44-49 0-45 102.26.13-35 102.41. 0-79 59-63 22 Moon's U. L. 26. 1.27-40 30-03 51'5 0. 28-40 58. 25-07 25. 24-84 + 0-99 64. 7.54-73 64. 23. 53-24 59-53 23 Moon's U. L. 28. 13. 50-70 29-91 53-5 0. 30-97 58. 56 63 27. 39-75 + 0-90 66. 18. 5-96 66.34.13-12 59-52 24 Moon's U. L. 32. 2. 16-40 30-00 52-5 0. 36-28 59. 25-04 31. 17-95 + 0-72 70. 2.59-23 70.19.14-18 59-51 25 Moon's U. L. 37. 9.48-60 30-06 48-5 0. 44-39 59. 47-94 35. 54-24 + 0-54 75. 6. 3-95 75.22.25-18 59-49 26 Moon's U. L. 43. 14. 0-20 29-96 51-5 0. 54-52 60. 1-87 40. 54-20 + 0-27 81. 5.26-52 81.21.51-57 59-48 27 Moon's U. L. 49.50. 3-10 29-87 51-5 1. 8-45 60. 4-24 45.41-79 + 0-09 87. 36. 56-76 87. 53. 22-46 69-46 28 Moon's U. L. 56. 32. 35-70 29-77 48-5 1.27-57 59. 53-26 49. 46-04 0-18 94.15.45-18 94.32. 7-86 59-45 29 Moon's U. L. <) 62. 54. 58-20 29-72 45-5 1.53-48 59. 28-73 52. 46-41 0-25 100.35.31-84 100.51.47-80 59-44 May 9 Moon's U. L. .. 61.45.57-90 29-74 54-5 1.46-20 54. 15-29 47.37-81 0-36 99.31.35-01 99. 46. 25-05 59-30 20 Moon's U. L. 27.19.21-40 30-12 59-5 0. 29-65 68. 46-87 26.45-71 + 0-90 65. 24. 29-23 65. 40. 33-71 59-17 21 Moon's U. L. 30. 40. 1-00 30-34 60-5 0. 34-21 59. 2-81 29. 53-82 + 0-77 68.42. 5-71 68. 58. 14-57 59-16 22 Moon's U. L. 35.22. 2-30 30-28 59-5 0. 40-95 59. 13-99 34. 3-96 + 0-54 73.20. 4-18 73. 36. 16-10 59-15 23 Moon's U. L. 41. 3.40-50 30-24 57-6 0. 60-38 59. 20-08 38.45-55 + 0-40 78.57.11-07 79. 13.24-66 59-14 24 Moon's U. L. 47.21.52-20 30-11 58-5 1. 2-38 59. 20-43 43. 26-77 + 0-19 85. 10. 54-47 85.27. 8-16 59-14 25 Moon's U. L. 63.53.52-70 30-02 55-5 1.18-93 59. 14-25 47. 39-75 0-09 91.38.59-44 91.55.11-37 59-12 26 Moon's U. L. 60. 17. 29-80 30-06 67-5 1. 40-46 59. 0-02 51. 3-48 0-27 97. 59. 35-32 98. 15. 43-35 59-11 27 Moon's U. L. 66. 10. 30-70 30-03 56-5 2. 962 58. 37-89 53.27-71 0-54 103.50.41-93 104. 6. 43-90 59-10 June 6 Moon's TJ. L. 58. 42. 30-40 30-15 65-6 1.33-12 54. 20-25 46. 15-47 0-27 96. 29. 16-31 96.44. 7-64 59-05 18 Moon's U. L. 33.49.51-30 29-71 76-5 0. 36-69 59. 32-36 32.55-61 + 0-63 71.48.57-09 72. 5. 14-04 59-05 To 1798, Mar. 29. The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. From 1798, Aprii 6. The MOOD'S U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsea's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p=38. 31'. 27" -35 : q= 10" -47. (*) Observed 10' after Transit of 1 L. Correction applied for distance from middle wire, 2"'45. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (187) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal quatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1798. Oil in. o / * / // / // g 1 II o / / II June 19 Moon's U. L. () 39. 19. 30-20 29-53 60-5 0. 45-99 69. 27-69 37. 27-84 + 0-06 77. 13. 54-44 77.30. 10-11 59-05 23 Moon's U. L. 64. 15. 35-40 30-09 61-5 1. 57-88 58. 15-93 52. 18-43 0-45 101. 66. 43-92 102. 12. 39-92 59-09 24 Moon's U. L. 69. 29. 41-40 30-09 62-5 2.31-13 57. 49-00 53. 59-41 0-63 107. 9.42-93 107. 25. 31-55 59-09 25 Moon's U. L. . . 73.42. 1-80 29-93 63-5 3. 10-86 57. 19-36 54. 52-04 0-81 111.21.50-97 111.37.31-46 59-10 26 Moon's U. L. 76.36.38-10 29-91 62-5 3. 53-20 56. 47-83 55. 6-66 0-90 114. 16. 55-40 114.32.27-25 59-10 27 Moon's U. L. 78. 3. 5-80 29-89 63-5 4. 20-23 56. 15-33 54. 53-98 0-99 115.44. 2-96 115. 59. 25-91 59-12 July 1 Moon's U. L. 70. 3. 23-30 29-52 63-5 2. 32-43 54. 27-67 51. 2-53 0-63 107.46.23-12 108. 1.16-54 59-17 2 Moon's TJ. L. 65.38. 3-70 29-64 53-5 2. 5-54 54. 15-29 49. 15-64 0-54 103.22.22-83 103. 37. 12-87 59-18 4 Moon's TJ. L. 55. 25. 45-10 29-71 64-5 1.21-16 64. 18-63 44. 32-37 0-15 93. 14. 1-68 93. 28. 52 63 59-21 6 Moon's U. L. ( b ) 44.32.37-10 29-66 63-5 0. 65-14 55. 3-76 38. 25-56 + 0-10 82. 26. 27-74 82. 41. 31-06 59-24 16 Moon's U. L. ( c ) 37. 20. 50-50 29-23 67-5 0.41-82 60. 16-48 36. 20-58 76. 16. 36-43 75.33. 5-48 59-40 21 Moon's U. L. 68. 8. 6-90 29-54 61-5 2. 18-72 57. 50-75 53. 31-07 0-54 105. 48. 24-21 106. 4.13-31 5951 25 Moon's L. L. 78. 41. 35-70 29-87 54-5 4. 39-63 55. 38-17 54. 25-62 0-99 116. 23. 20-72 116. 8. 7-96 59-61 27 Moon's L. L. 75.20. 7-80 30-05 58-5 3. 35-59 54. 47-30 52. 52-03 0-85 113. 2.21-96 112.47.23-15 59-65 29 Moon's U. L. 67. 14. 12-70 30-06 53-5 2. 17-29 54. 13-48 49. 50-59 0-54 104.58. 8-91 105. 12. 58-45 59-70 Aug. 2 Moon's U. L. 46. 26. 48-50 29-97 55-5 1. 0-50 54. 30-95 39. 18-96 + 0-25 84. 19. 56-61 84. 34. 50-93 59-80 6 Moon's U. L. 28. 14. 54-40 30-20 60-5 0. 30-86 57. 17-31 26. 54-36 + 0-90 66. 19. 54-95 66. 35. 34-88 59-91 23. 28'. 17 Moon's U. L. . . 66.42. 7-70 30-13 68-5 2. 10-13 58. 36-34 53. 39-28 0-54 104.22. 7-96 104.38. 9-56 0-17 20 Moon's U. L. 77. 32. 41-70 30-09 63-5 4. 11-50 56. 18-34 54. 50-52 0-97 115. 13. 33-52 115. 28. 57-29 0-23 21 Moon's L. L. 78. 52. 24-20 30-10 62-5 4. 41-50 55.41-83 54. 31-27 0-99 116.34. 6-47 116.18.51-71 0-26 22 Moon's L. L. 78. 14. 36-00 29-80 62-5 4.24-16 55. 11-05 53. 53-80 0-99 115. 56.37-30 116.41.31-99 0-28 24 Moon's L. L. . . 73.11.52-80 30-10 57-5 3. 8-31 54. 26-05 51.58-17 0-75 1 10. 54. 33-28 110.39.40-30 0-33 25 Moon's L. L. 69. 12. 35-40 30-14 55-5 2. 31-29 54.11-51 50. 30-81 0-56 106.56. 5-72 106. 41. 16-73 0-35 26 Moon's L. L. 64. 32. 32-90 30-27 50-5 2. 2-78 54. 2-17 48. 37-80 0-45 102. 17. 27-01 102. 2.40-57 0-37 28 Moon's U. L. 53. 33. 56-30 30-19 59-5 1. 17-78 54. 1-20 43. 16-70 0-09 91.23.24-89 91.38. 11-06 0-42 29 Moon's U. L. 48. 6.37-80 30-14 52-5 1. 4-87 54. 10-82 40. 8-61 + 0-18 85. 59. 0-86 86. 13. 49-67 0-44 31 Moon's U. L. 37. 40. 20-90 30-14 52-5 0. 44-96 54. 54-14 33.21-09 + 0-54 75. 39. 10-07 75. 54. 10-76 0-48 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 27" -35 : q = 10" "47. () Observed 82 s after Transit of 1 L. Correction applied for distance from middle wire, 19" '01. ( b ) Observed 23' before Transit of 2 L. Correction applied for distance from middle wire, 5" '01. ( c ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = +16"'09. This is not applied to form the numbers in the columns "Geocentric N.P. D. of Limb," " Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and of Center at Transit of Center. 2 (B) 2 (188) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter Ther- mo- meter Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1798. Sep. 1 Moon's U. L. . O / II 33. 5.36-60 29-89 o 54-5 / // 0. 37-49 / // 55.29-23 / // 30. 5-41 + 0-65 O / " 71. 7.33-29 O 1 a 71.22.43-59 r 0-49 3 Moon's U. L. . 26. 32. 27-00 29-44 62-5 0. 27-86 57. 5-10 25. 17-71 + 0-95 64.39. 0-97 64. 54. 37-55 0-54 16 Moon's U. L. . 77.11.56-40 30-02 60-5 4. 5-75 57. 4-35 55. 30-76 0-95 114.52. 2-19 115. 7.38-57 0-71 18 Moon's L. L. . 78.48. 14-00 30-05 59-5 4.41-08 55. 32-05 54. 20-90 0-99 116.30. 5-21 116.14.54-13 0-73 19 Moon's L. L. 77. 12. 27-20 29-93 59-5 4. 5-68 54.58-16 53. 28-37 - 0-94 114.54.35-33 114.39.33-55 0-74 21 Moon's L. L. 70. 39. 48-80 29-85 51-5 2. 43-22 54. 14-48 51. 2-10 63 108.22.59-94 108. 8. 10-13 0-75 25 Moon's L. L. 50. 16. 48-30 29-82 48-5 1. 9-84 54. 6-19 41. 25-80 + 0-09 88. 7.59-44 87.53. 11-90 0-77 26 Moon's U. L. (*) 44. 19. 0-80 29-45 50-5 0. 55-76 54. 18-21 37. 44-57 + 0-58 82. 13. 44-80 82. 28. 35-64 0-78 30 Moon's U. L. 27. 6.24-60 29-92 42-5 0. 30-22 56. 9-21 25. 22-66 + 0-92 65. 12.56-04 65.28.17-31 0-78 Oct. 2 Moon's L. L. 25. 33. 45-80 30-19 47-5 0. 28-20 57.44-40 24. 42-07 + 1-01 63. 40. 55-65 63.25. 8-29 0-78 16 Moon's L. L. 78. 6.37-70 29-80 50-5 4. 27-86 55. 35-87 54. 16-46 0-98 115.48.20-03 115.33. 7-90 0-72 18 Moon's L. L. . . 72. 10. 35-00 29-60 48-5 2. 57-44 64. 30-55 51. 44-96 0-72 109. 53. 17-67 109. 38. 23-46 0-70 19 Moon's L. L. 67. 52. 24-90 29-85 46-5 2. 22-68 54. 12-76 50. 4-04 0-54 105.36. 13-17 105.21.23-83 0-68 20 Moon's L. L. 62. 58. 55-90 29-93 53-5 1.52-73 54. 3-98 48. 0-17 0-38 100.44.17-38 100. 29. 30-45 0-67 21 Moon's L. L. 57.41.38-50 29-88 53-5 1.30-90 54. 3-21 45. 30-78 0-23 95.29. 6-74 95. 14. 20-02 0-67 22 Moon's L. L. 52.11. 9-40 29-79 54-5 1. 13-78 54. 9-27 42. 35-99 o-oo 90. 1. 14-54 89.46.26-16 0-65 24 Moon's L. L. 41. 13. 39-60 29-70 42-5 0.51-32 64. 37-75 35. 48-41 -f- 0-41 79. 10. 8-30 78.55.12-11 0-63 26 Moon's U. L. 31.17.55-60 29-56 56-5 0. 34-45 55. 23-36 28. 34-12 + 0-74 69. 21. 20-33 69. 36. 29-02 0-61 28 Moon's U. L. 25. 33. 34-80 29-38 39-5 0. 27-90 56. 23-98 24. 7-46 + 0-99 63. 41. 18-94 63. 56. 44-25 0-58 30 Moon's L. L. 26.12.21-60 29-53 46-5 0. 28-44 57. 38-64 25. 14-53 + 0-99 64. 18. 59-31 64. 3. 13-53 0-55 Nov. 2 Moon's L. L. 38.15. 11-90 29-44 47-5 0. 45-30 59. 39-22 36. 43-00 + 0-54 76. 10. 39-59 75. 54. 20-75 0-50 3 Moon's L. L. 44. 34. 20-50 29-73 41-5 0. 57-86 60. 10-30 42. 0-95 + 0-27 82. 24. 43-65 82. 8.16-30 0-48 14 Moon's L. L. 73.44.31-80 29-56 41-5 3. 17-79 55. 4-80 52. 44-19 - 0-77 111.26.35-81 111. 11. 32-20 0-34 15 Moon's L. L. 69. 39. 53-30 29-91 40-5 2. 38-60 54. 35-48 51. 2-37 0-59 107. 22. 59-42 107. 8. 3-86 0-31 16 Moon's L. L. ( b ) 64. 55. 59-80 30-20 35-5 2. 8-62 54. 16-91 49. 0-61 0-06 102. 40. 44-94 102. 25. 54-46 0-30 17 Moon's L. L. 59. 45. 27-30 30-10 30-5 1.44-14 54. 9-01 46. 36 69 0-27 97.32. 3-20 97. 17. 14-89 0-28 18 Moon's L. L. 54. 18.31-10 29-85 31-5 1.23-73 54. 11-18 43. 49-79 - 0-09 92. 7.32-69 91. 52. 43-78 0-28 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31 '.27" "35 : q = 10" -47. (*) Observed 29 s after Transit of 2 L. Correction applied for distance from middle wire, + 6" '30. ( b ) Observed 38 s after Transit of 1 L. Correction applied for distance from middle wire, + 7"'54. SECT. II. INVESTIGATION OF MOON'S NORTH POLAU DISTANCE. (189) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.D. of U.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1798. ' II in. o i a / // / // it o / ;' o ' * II Nov. 22 Moon's L. L. 33.18.55-10 29-22 36-5 0. 38-36 55.31-01 30.17-27 + 0-68 71.20.40-87 71. 5.30-08 0-22 23 Moon's U. L. 28. 53. 55-20 29-37 33-5 0. 32-59 56. 0-75 26. 51-62 + 0-85 66.59. 0-28 67. 14. 19-23 0-21 24 Moon's U. L. 26. 8.49-40 29-75 29-5 0.29-61 56.31-37 24. 41-91 + 0-97 64.16. 0-87 64.31.28-21 0-20 25 Moon's U. L. 24.51. 8-50 29-70 28-5 0. 27-95 57. 1-89 23. 45-47 + 1-03 62. 59. 14-60 63. 14. 50-30 0-19 27 Moon's L. L. 27. 49. 26-90 29-08 44-5 0.30-16 57. 59-34 26.51-12 + 0-93 65. 54. 29-95 65.38.38-50 0-17 28 Moon's L. L. 31.27.42-50 29-16 39-5 0. 35-42 58. 25-72 30. 16-78 + 0-76 69. 29. 25-58 69. 13. 26-89 0-15 30 Moon's L. L. 42. 16. 55-40 29-57 35-5 0. 53-80 59.11-65 39. 36-76 + 0-36 80. 9. 38-36 79. 53. 27-08 0-13 Dec. 1 Moon's L. L. 48. 46. 43 50 29-27 43-5 1. 5-69 59. 28-73 44. 31-95 + 0-18 86. 34. 44-15 86. 18. 28-19 0-13 11 Moon's L. L. 75. 14. 45-60 29-84 35-5 3. 43-29 55. 44-62 53. 46-04 0-84 112.56. 13-44 112.40.58-91 0-08 12 Moon's L. L. 71. 27. 58-60 29-60 32-5 2. 56-14 55. 7-62 52. 7-28 0-67 109. 10. 17-58 108. 55. 13-20 0-08 15 Moon's L. L. ( a ) 56.29. 7-00 29-28 41-5 1.27-20 54. 12-76 45. 1-42 0-00 94. 17. 14-55 94. 2.25-21 0-07 19 Moon's L. L. 35. 12. 6-30 29-83 34-5 0. 42-21 55. 24-73 31.44-38 + 0-59 73. 12. 29-05 72. 57. 19-99 0-09 20 Moon's L. L. 30. 55. 55-20 30-31 29-5 0. 36-82 66. 0-85 28.35-17 + 0-78 68. 59. 21-23 68.44. 2-25 0-10 21 Moon's L. L. 27. 39. 22-50 30-17 33-5 0.31-78 56. 39-63 26. 5-42 + 0-92 65. 45. 12-83 65. 29. 43-22 o-io 26 Moon's L. L. 34.52. 800 29-68 15-5 0. 43-20 69. 2-36 33.32-19 + 0-61 72. 50. 43-88 72. 34. 35-14 0-13 28 Moon's L. L. 46. 64. 55-00 29-91 16-5 1. 6-62 59. 13-70 43. 3-05 + 0-25 84. 44. 25-21 84. 28. 13-36 0-16 1799. Jan. 11 Moon's L. L. 58. 35. 35-60 30-03 38-5 1.37-57 54. 18-05 46. 10-40 0-27 96. 22. 31-01 96. 7.40-22 0-36 13 Moon's L. L. 47. 34. 59-30 30-17 36-5 1. 5-90 64. 15-22 39.51-88 + 0-22 85. 27. 40-06 85. 12. 50-04 0-40 14 Moon's L. L. 42. 12. 44-00 30-17 37-5 0.54-52 54. 30-33 36. 25-56 + 0-36 80. 8.38-88 79. 53. 44-72 0-43 15 Moon's L. L. 37. 8.56-80 30-18 36-5 0. 45-66 54. 56-37 32. 58-62 + 0-54 75. 8. 9-04 74.53. 7-74 0-44 16 Moon's L. L. 32. 37. 24-30 30-06 31-5 0. 38-84 55.32-11 29.44-11 + 0-70 70. 39. 43-61 70. 24. 32-52 0-47 17 Moon's L. L. . . 28. 54. 59-20 29-97 28-5 0. 33-64 56. 15-50 26. 59-70 + 0-87 66. 59. 57-27 66. 44. 34-28 0-49 18 Moon's L. L. 26. 22. 13-90 29-80 39-5 0. 29-33 57. 3-80 25. 8-09 + 0-99 64. 28. 58-97 64. 13. 22-74 0-51 19 Moon's ILL. .. 24.48.20-20 29-22 35-5 0. 27-04 57. 53-28 24. 4-29 + 1-03 62.56. 6-57 63. 11. 56-36 0-54 21 Moon's U. L. 28. 8.41-00 29-66 33-5 0.31-90 59. 17-62 27. 44-91 + 0-88 66. 12. 52-00 66.29. 4-91 0-59 23 Moon's L. L. 38. 30. 1-00 29-30 36-5 0. 46-54 59. 58-38 37. 6-98 + 0-54 76.25. 5-99 76. 8.41-90 0-64 24 Moon's L. L. 44. 52. 52-90 29-54 36-5 0. 58-72 59. 58-73 42. 6-69 + 0-27 82.43.11-22 82. 26. 47-03 0-66 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p=38.31'.27"-35: q = lO"'47. (*) Observed 62' after Transit of 1 L. Correction applied for distance from middle wire, 4- 13*-64. (190) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. of U. L. or L. L. at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23". 28'. 1799. Feb. 9 Moon's L. L. O / II 49.31.58-20 in. 29-72 o 38-5 / // 1. 9-22 / // 54. 4-96 / // 40. 57-55 + 0-13 O ' a 87. 23. 36-87 / II 87. 8.49-67 | 1-04 12 Moon's L. L. 34. 11. 48-60 29-82 30-5 0. 40-99 54. 49-99 30. 37-02 + 0-63 72. 13. 17-35 71.58.17-81 1-11 13 Moon's L. L. 30. 11. 7-40 29-66 35-5 0. 34-54 55. 26-25 27.40-14 + 0-81 68. 15. 26-08 68. 0. 16-59 1-14 17 Moon's U. L. 26. 29. 57-80 29-51 35-5 0. 29-46 59. 0-02 26. 6-35 + 0-95 64. 35. 44-72 64.51.52-81 1-24 19 Moon's U. L. 35. 6. 2'60 29-36 42-5 0. 40-70 60. 27-86 34. 32-65 + 0-58 73. 3. 35-53 73.20. 7-70 1-29 21 Moon's L. L. 48. 50. 47-70 29-38 43-5 1. 6-10 60. 51-48 45. 36-76 + 0-18 86. 37. 43-95 86.21. 5-31 1-33 22 Moon's L. L. 55. 55. 39-40 29-91 43-5 1. 26-87 60. 36-25 50. 0-16 0-18 93. 38. 33-95 93.21.59-48 1-34 24 Moon's L. L. 68. 43. 52-50 29-22 40-5 2. 27-64 59. 26-59 55. 13-72 0-54 106.22.36-18 106. 6.20-80 1-39 Mar. 18 Moon's U. L. 32. 8.22-40 29-58 34-5 0. 37-28 59. 50-18 31. 36-60 + 0-70 70. 8.47-57 70.25. 9-41 1-68 20 Moon's U. L. 44. 32. 48-10 29-40 38-5 0. 57-52 61.10-50 42. 41-69 + 0-27 82. 22. 30-16 82. 39. 14-01 1-70 24 Moon's L. L. 71.59.39-50 29-33 40-5 2. 56-89 60. 1-71 56. 55-80 0-69 109. 37. 10-77 109. 20. 45-77 1-71 25 Moon's L. L. 76. 18. 11-10 29-60 35-5 3. 58-72 59. 8-48 57. 18-92 0-89 113.56.21-61 113.40.11-20 1-71 26 Moon's L. L. 78. 57. 39-50 29-30 37-5 4. 51-09 58. 11-30 56. 58-64 0-99 116.37. 3-00 116.21. 8-27 1-71 27 Moon's U. L. 79. 20. 46-90 29-36 33-5 5. 4-49 57. 15-92 56. 8-58 1-03 117. 1.13-89 117. 16. 53-44 1-71 28 Moon's U. L. 78. 35. 33-20 29-76 30-5 4. 50-77 56. 25-41 55. 10-44 1-01 116.16.44-51 116. 32. 10-22 1-71 Apr. 12 Moon's U. L. 24. 32. 42-90 29-48 47-5 0. 26-29 56. 41-97 23. 20-59 + 1-04 62.41. 12-19 62. 56. 42-44 1-64 21 Moon's L. L. 74. 29. 14-60 29-70 39-5 3. 29-37 60. 22-49 58. 1-38 0-80 112. 6. 13-08 111.49.42-39 1-53 May 11 Moon's U. L. 28. 27. 59-70 29-38 51-5 0. 30-85 57. 29-05 27.11-14 + 0-87 66. 32. 43-46 66. 48. 26-61 1-26 12 Moon's U. L. 32.47. 8-70 29-54 56-5 0. 36-47 58. 15-05 31. 19-58 + 0-68 70. 47. 50-18 71. 3.45-94 1-23 15 Moon's U. L. 51. 38. 17-90 29-98 39-5 1. 15-08 60. 20-90 47. 6-80 + 0-02 89. 23. 53-44 89. 40. 23-70 1-19 16 Moon's U. L. 58. 42. 56-20 30-30 43-5 1. 37-89 60. 44-90 51. 43-21 0-27 96. 24. 19-13 96. 40. 55-97 1-17 20 Moon's L. L. 79. 12. 1-60 29-70 45-5 4. 56-30 59. 31-12 58. 19-66 - 1-01 116.50. 9-31 116. 33. 52-69 1-11 21 Moon's ILL. .. 79.28. 8-30 29-66 47-6 5. 1-86 58.38-12 57. 30-56 1-05 117. 7.10-67 117. 23. 12-76 1-10 23 Moon's U. L. 75. 46. 31-70 29-87 46-5 3. 46-57 56. 45-60 54. 52-54 0-89 113. 26. 56-36 113. 42. 27-60 1-07 24 Moon's TJ. L. 71. 56. 21-30 30-14 45-5 2. 59-31 55.55-19 53. 0-78 0-72 109. 37. 49-98 109.53. 7-40 1-07 26 Moon's U. L. 62. 4.28-00 29-99 52-5 1. 48-94 54.40-17 48. 8-01 0-36 99. 49. 37-71 100. 4. 34-57 1-05 27 Moon's U. L. 56. 34. 18-70 30-06 60-5 1. 26-39 54. 17-92 45. 8-25 0-20 94.22. 4-79 94. 36. 55-54 1-03 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. U. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 27" '35: q = 10" '47. 1799. Mar. 20. In the MS. and also in the Volume of Printed Observations, the date is Mar. 19. SKCT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (191) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. of U.L. orL. L., at Transit of 1 L.or2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1799. May 28 Moon's U. L. O 1 II 50. 56. 43-70 in. 30-16 o 56-5 / n 1.11-16 / n 54. 5-96 / II 41.49-46 It + 0-05 O / It 88.47.32-58 O 1 It 89. 2.20-05 */ 1-02 June 8 Moon's U. L. .. 31.25. 2-50 30-25 70-5 0. 34-45 57. 44-60 29.53-10 + 0-74 69.27. 8-26 69. 42. 55-68 0-96 9 Moon's U. L. 36.31.57-10 29-97 71-5 0.41-30 58. 17-87 34. 29-28 + 0-54 74. 29. 34-21 74. 45. 30-75 0-95 10 Moon's U.L. .. 42. 33. 10-60 29-94 70-5 0. 51-21 58. 50-15 39. 34-56 + 0-34 80. 25. 63-20 80. 41. 58-58 0-95 11 Moon's U. L. 49. 9.15-60 30-10 52-5 1. 7-21 59. 19-53 44. 40-29 + 0-14 86.57. 9-45 87. 13. 22-89 0-95 13 Moon's U. L. 62.42. 0-10 29-67 54-5 1.50-19 60. 0-58 53. 8-41 O-39 100.22.10-72 100.38.35-41 0-95 15 Moon's U. L. 73. 55. 49-20 29-97 46-5 3. 20-84 59. 58-96 57. 28-90 0-80 111.33.11-54 111.49.35-79 0-95 16 Moon's U. L. 77.31.21-30 30-06 45-5 4. 20-41 59. 37-73 58. 4-46 0-97 115. 9. 8-08 115.25.26-51 0-95 22 Moon's U. L. 64. 8.39-00 29-81 57-5 1.57-12 55.16-14 49.34-10 0-45 101.52.31-07 102. 7.37-78 0-97 23 Moon's U. L. 58. 39. 21-40 29-80 49-5 1.34-87 54. 44-65 46. 34-68 0-27 96. 25. 49-84 96. 40. 47-92 0-98 24 Moon's U. L. 53. 0. 15-50 30-01 52-5 1.1685 54. 23-23 43. 15-36 0-02 90. 49. 44-47 91. 4.36-68 0-98 July 7 Moon's U. L. . . 40. 50. 36-40 29-93 76-5. 0. 47-66 58. 43-44 38.11-46 + 0-40 78.44.38-31 79. 0.41-86 1-11 10 Moon's U. L. 60.43. 7-30 29-84 65-5 1. 39-84 59.21-96 51. 35-57 0-30 98. 24. 40-15 98. 40. 54-26 1-16 12 Moon's U. L. 72. 16. 37-90 29-43 63-5 2. 52-09 59. 19-82 56. 21-23 0-72 109. 54. 38-96 110.10.52-48 1-19 16 Moon's U. L. () 78. 8.54-70 29' 84 51-5 4. 28-47 57.43-11 56. 20-89 0-99 115.48.33-20 116. 4.20-20 1-27 19 Moon's U. L. 66.17. 8-30 29-57 51-5 2. 9-61 65. 43-81 50. 51-58 0-54 103. 59. 55-67 104. 15. 9-97 1-32 21 Moon's U.L. 55. 9.36-70 29-76 51-5 1.22-63 54.41-60 44. 42-43 0-13 92. 57. 44-66 93.12.41-90 1-37 Aug. 5 Moon's U. L. 52. 8.37*40 29-32 65-5 1. 10-91 59.34-11 46. 49-71 o-oo 89. 54. 25-93 90. 10. 43-37 1-67 9 Moon's U.L. 75. 25. 20-80 29-68 60-5 3. 33-35 58. 48-03 56. 45-41 0-86 113. 3.39-33 113. 19.44-14 1-77 12 Moon's L. L. 79.25. 3-30 29-89 55-5 4. 57-71 57. 28-75 56.22-19 1-02 117. 5. 9-92 116.49.26-86 1-85 13 Moon's L. L. 77. 8.19-80 29-93 55-5 4. 6-43 56. 57-00 55. 23-06 0-92 114.48.3399 114.32.59-63 1-87 17 Moon's U. L. 57. 20. 55-90 29-39 53-5 1.28-24 54. 52-10 46. 1-07 0-25 95. 7.51-11 95. 22. 51-23 1-97 19 Moon's U.L. 45 51. 22 10 29-48 49-5 0. 59-01 54. 15-03 38. 44-19 + 0-27 83.45. 3-40 83. 59. 53-36 2-01 24 Moon's U. L. 25. 4.20-80 29-94 50-5 0.27-19 55. 28-58 23.18-17 + 1-01 63. 12. 53-46 63.28. 3-58 2-12 Sep. 4 Moon's U. L. 69. 31. 24-90 30-21 64-5 2. 31-35 59. 46-07 55. 49-37 0-60 107. 9.36-72 107. 25. 57-44 2-30 5 Moon's U.L. 74.27. 8-60 30-26 66-5 3.21-29 59. 14-67 56. 55-34 0-81 112. 5. 5-03 112.21.17-14 2-33 6 Moon's U. L. 77. 52. 27-90 30-24 60-5 4.21-14 58. 38-54 57.11-45 0-98 115.31. 8-47 115.47.10-68 2-34 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center in the tables above, are those corresponding to the time of passage of the Limb u-hich was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 _ p = 38. 31'. 27" -35 : q = 10" '47. {") Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = 5"'84. (192) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. ofU. UorL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1799. Sep. 7 Moon's U. L. o / u 79. 33. 41-20 30-11 53-5 / g 5. 5-12 / // 58. 1-22 ' a 56. 55-41 // 1-05 O t If 117. 13. 22-00 o t 11 117. 29. 13-96 tl 2-36 8 Moon's L. L. . . 79. 58. 22-80 29-97 54-5 5. 14-98 57. 24-32 56. 23-91 1-05 117.38.45-03 117.23. 3-18 2-37 13 Moon's U. L. () Moon's L. L. (") 59. 27. 26-60 59. 57. 20-10 29-54 49-5 1. 37-06 1.39-00 54. 51-48 54.51-45 47. 4-25 47. 18-91 0-27 0-27 97. 13. 24-75 97. 43. 8-68 97. 28. 24-71 97.28. 8-73 2-43 14 Moon's U. L. 53. 39. 39-80 29-73 50-5 1. 18-28 54. 30-33 43. 43-29 0-09 91.28.42-32 91. 43. 36-48 2-43 15 Moon's U. L. 47.52. 5-00 29-75 46-5 1. 4-28 54. 14-16 40. 1-85 + 0-18 85. 44. 34-18 85. 59. 23-90 2-45 17 Moon's U. L. 37. 2.43-00 29-49 53-5 0. 42-92 54. 0-71 32. 20-40 + 0-54 75. 2.30-71 75. 17. 16-75 2-47 18 Moon's U.L. .. 32. 23. 30-50 29-20 57-5 0. 35-44 54. 6-06 28.46-86 + 0-70 70. 26. 43-63 70.41.31-13 2-47 20 Moon's U. L. 25. 40. 26'60 29-51 49-5 0. 27-59 54.46-17 23. 31-52 + 0-99 63. 48. 46-39 64. 3.44-89 2-48 22 Moon's L. L. 24. 28. 24-90 29-07 55-5 0. 25-42 56. 7-07 23. 2-43 + 1-07 62. 37. 11-50 62.21.50-81 2-49 24 Moon's L. L. 29. 6.22-80 29-88 55-5 0.31-96 57. 58-72 27. 59-28 +* 0-86 67. 10. 19-63 66. 54. 28-35 2-49 25 Moon's L. L. 33.45. 5-50 29-66 57-5 0. 38-00 58. 57-33 32. 32-28 + 0-65 71. 44. 35-94 71. 28. 28-58 2-50 Oct. 8 Moon's L. L. 72.10. 4-60 29-13 49-5 2.54-18 55. 49-31 52. 59-56 0-70 109. 51. 29-43 109. 36. 13-62 2-47 9 Moon's L. L. 67. 17. 46-90 29-70 43-5 2. 18-87 55. 16-66 50. 50-24 0-54 105. 0. 45-05 104. 45. 38-20 2-49 10 Moon's L. L. . . 61. 52. 30-00 29-88 51-5 1.47-85 54. 49-74 48. 11-23 0-34 99. 37. 35-38 99. 22. 35-91 2-46 11 Moon's L. L. 56. 9. 8-10 29-94 46-5 1.27-15 54. 28-58 45. 3-99 0-18 93.56.59-15 93.42. 5-47 2-45 14 Moon's U. L. 38. 44. 28-70 29-87 41-5 0. 47-36 53. 56-18 33. 33-36 + 0-50 76.43. 8-10 76. 57. 52-90 2-42 15 Moon's U. L. 33. 50. 42-90 29-84 46-5 0. 39-15 53. 56-63 29. 50-64 + 0-63 71.52.56-13 72. 7.41-05 2-42 17 Moon's U. L. 26. 26. 10-80 29-77 44-5 0. 29-08 54. 18-92 23. 58-76 + 0-95 64.34. 4-92 64. 48. 55-91 2-39 Nov. 6 Moon's L. L. 63.40.16-10 29-22 44-5 1.55-49 55. 5-35 49. 12-58 0-40 101. 24. 28-03 101. 9.24-32 2-09 7 Moon's L. L. 58. 1.46-30 29-35 39-5 1. 33-11 54. 36-78 46. 9-31 0-25 95. 48. 38-26 95. 33. 42-38 2-08 8 Moon's L. L. 52. 14. 32-60 29-51 37-5 1. 15-84 54. 16-17 42, 43-40 o-oo 90. 4.32-40 89.49.42-12 2-06 9 Moon's L. L. 46. 30. 24-40 29-65 48-5 1. 0-85 54. 3-28 39. 1-48 + 0-27 84. 23. 50-37 84. 9. 3-63 2-04 12 Moon's U. L. 30. 57. 27-00 29-50 46-5 0. 34-62 54. 1-82 27. 35-54 + 0-75 69. 1. 50-43 69. 16. 36-77 1-99 16 Moon's U. L. 24. 7.42-30 30-08 33-5 0. 27-09 55. 19-80 22. 24-78 + 1-06 62. 17. 8-15 62. 32. 15-86 1-93 17 Moon's U. L. 25. 59. 35-30 30-13 38-5 0. 29-23 55. 55-09 24. 17-97 + 0-98 64. 7. 10-32 64. 22. 27-72 1-91 19 Moon's L. L. 34. 24. 10-30 30-28 38-5 0.41-24 57.25-13 32. 13-88 + 0-63 72.24. 2-47 72. 8.20-39 1-88 20 Moon's L. L. 40. 3. 13-30 30-25 32-5 0.51-21 58. 17-25 37. 17-89 + 0-46 77. 58. 12-25 77. 42. 15-89 1-86 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 --p =38. 31'. 27" -35 : q = 10" "47. (*) Observed at Transit of 1 L. Correction applied for defective illumination, 3"'06. (") Observed at Transit of 2 L. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (193j Year, Month, and Day. Name of Obji-ct. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Pat . Geocentric N.P.D. ofU.L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabulaj Obliquity of Ecliptic. 23. 28'. 1799. O / il in. o / // / // / a a I // O ' II a Dec. 8 Moon's L. L. 37. 33. 47-90 29-55 36-5 0. 45-38 54. 0-42 32 43-66 + 0-54 76. 33. 14-90 75. 18. 28-95 167 9 Moon's L. L. 32. 53. 37-20 29-70 39-5 0.38-13 54. 4-80 29. 10-22 + 0-68 70. 56. 29-72 70.41.42-56 1-67 11 Moon's L. L. 26. 8.36-60 29-86 375 0. 29-22 54.31-95 23. 49-60 + 0-99 64. 16. 40-02 64. 1.45-42 1-66 12 Moon's U. L. 24. 3.27-90 29-98 33-5 0. 26-91 54. 52-65 22. 10-08 + 1-06 62. 13. 8-26 62.28. 8-53 1-65 31 Moon's L. L. 62. 11.53-90 30-42 30-0 1. 56-40 56. 1-60 49. 23-37 0-36 99. 55. 56-56 99. 40. 37-38 1-74 1800. Jan. 2 Moon's L. L. 50. 24. 48-30 29-67 33-5 1.12-04 54.44-71 42. 0-20 + 0-09 88.15.28-15 88. 0.30-05 1-70 3 Moon's L. L. 44.42. 0-80 29-43 42-5 0.57-41 54. 21-45 38. 2-54 + 0-27 82. 36. 22-85 82.21.31-12 1-77 12 Moon's L. L. 31.40. 18-50 29-18 41-5 0. 35-59 56. 57-39 29. 41-68 + 0-73 69. 42. 37-83 69.27. 3-36 1-91 15 Moon's L. L. 49. 10. 16-90 28-98 36-5 1. 6-92 58.21-08 43. 57-09 + 0-14 86. 58. 54-56 86.42.57-14 1-96 30 Moon's L. L. 46. 50. 38-90 29-29 39-5 1. 1-96 54. 48-34 39. 47-32 + 0-25 84.43.31-08 84.28.31-98 2-26 31 Moon's L. L. 41. 13.38-50 29-28 36-5 0.51-23 54. 25-72 35. 40-52 + 0-40 79. 10. 15-92 78. 55. 23-03 2-29 Feb. 1 Moon's L. L. 36. 5. 17-00 29-47 37-5 0.42-81 54. 13-54 31.44-51 -t- 0-54 74. 5.41-27 73.50.51-71 2-31 3 Moon's L. L. 27. 59. 14-20 29-81 41-5 0. 31-3!? 54.22-97 25. 19-17 + 0-90 66. 5. 51-34 65. 50. 59-20 2-37 4 Moon's U. L. . . 24.57. 8-40 30-16 37-5 0. 27-98 54. 43-58 22. 53-04 + 1-01 63. 6. 8-44 63.21. 6-23 2-3W 5 Moon's U. L. 23. 44. 53-70 30-11 31-5 0. 26-75 55. 12-84 22. 1-87 + 1-08 61. 54. 43-08 62. 9.48-89 2-41 6 Moon's U. L. 24. 3. 26-40 30-10 29-0 0.27-27 55.48-61 22. 32-67 + 1-06 62. 12. 45-53 62.28. 1-15 2-43 8 Moon's U. L. . . 29. 24. 20-50 30-06 26-5 0. 34-57 57. 9-02 27. 50-88 + 0-82 67. 28. 29-32 67. 44. 6-98 2-48 10 Moon's L. L. 40. 33'. 30-00 29-74 305 0.51-47 58. 20-66 37. 43-58 + 0-45 78. 28. 4-53 78.1-'. 7-23 2-53 11 Moon's L. L. 47. 5. 17-80 29-73 26-5 1. 5-19 58. 46-81 42. 50-76 + 0-23 84. 54. 59-78 84.38.55-31 2-55 Mar. 5 Moon's U. L. 23. 31. 44-40 29-75 27-5 0. 26-38 55.17-86 21. 52-26 + 1-08 61.41.4298 61. 56. 50-16 2-94 6 Moon's U. L. ( a ) 24. 44. 9-80 29-70 26-5 0. 27-92 55. 59-49 23. 13-29 62. 52. 48-00 63. 8. 6-60 2-95 7 Moon's U. L. . . 27. 29. 30-80 29-43 23-5 0.31-45 56.47-18 26. 0-16 + 0-90 65. 35. 27-00 65. 50. 58-68 2-97 8 Moon's U. L. 31.42.47-00 29-73 26-5 0. 37-48 57. 37-34 30. 4-57 + 0-72 69. 44. 45-32 70. 0.30-74 2-98 9 Moon's U. L. . . 37. 10. 18-60 29-87 31-5 0. 45-71 68.26-10 35. 5-52 + 0-54 75. 7. 24-94 75. 23. 23-73 3-00 12 Moon's L. L. 58. 13. 26-40 29-86 35-5 1.36-20 60. 0-71 50. 49-57 0-25 95. 55. 42-07 95. 39. 17-35 3-02 13 Moon's L. L. 65. 4. 4-00 29-88 305 2. 9-41 60. 6-32 54. 19-68 0-46 102. 43. 24-35 102. 26. 58-09 3-03 15 Moon's L. L. ' 76. 3. 16-90 29-70 35-5 3. 55-25 59. 40-49 57.46-19 0-87 113.40.57-42 113.24.38-23 3-04 The Moon's U. L or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. I), is formed by adding Olufsen's yO J p and q cos. N. P. D. to the corrected Quadrant Reading. yO - p = 38 D .31'.27"-35: q = 10'' '47. From 1799, Dec. 31, 90 - p = 38. 31'. 28" '23 : q = 10". 22. (") Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = + 5" '42. This is not applied to form the numbers in the columns "Geocentric N. P. D. of Limb," " Geocentric N.P. D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. GREENWICH LUNAR REDUCTIONS. 2(C) (194) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatnrfal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P. D. 1 of U. L. or L. L., i at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28' 1800. o / a in. o / // / // / // // 1 a o / a it Apr. 1 Moon's U. L. . 23.21. 5-10 29-39 50-5 0. 24-63 54. 40-70 21.28-21 + 1-09 61.31.25-97 61. 46. 22-97 3-06 2 Moon's U. L. . 23.53.18-60 29-18 49-5 0.25-13 55. 13'51 22. 9-54 + 1-08 62. 2.58-71 62. 18. 4-70 3-05 6 Moon's U. L. 40. 11.35-20 29-87 49-5 0. 49-05 58. 40-84 37. 39-39 + 0-44 78. 6. 11-42 78. 22. 14-26 3-02 7 Moon's U. L. 46. 55. 32-00 29-83 48-5 1. 2-11 59.33-72 43. 17-85 + 0-23 84. 44. 43-78 85. 1. 1-11 3-01 8 Moon's U. L. 54. 6.22-50 29-61 48-5 1.19-57 60. 16-78 48.37-81 0-09 91.50.32-73 92. 7. 1-86 3-00 10 Moon's L. L. 68. 35. 23-00 29-29 45-5 2. 25-40 60. 54-79 56. 32-34 0-54 106. 12. 46-60 105.56. 7-05 2-98 12 Moon's L. L. 78. 23. 27-40 29-46 46-5 4. 33-37 60.21-22 58. 58-66 0-98 116. 0.33-84 115.44. 3-49 2-96 17 Moon's U. L. 70. 20. 58-50 29-67 48-5 2. 40-47 56.41-97 53. 14 37 0-63 108. 1.55-36 108. 17. 25-61 2-89 30 Moon's U. L. 24. 58. 16-40 29-90 55-5 0. 26-75 55. 8-36 23. 4-38 + 1-01 63. 7. 4-37 63.22. 8-95 2-69 May 2 Moon's U. L. . . 32. 2. 2-90 29-92 60-5 0. 35-60 56. 37-40 29. 49-44 + 0-70 70. 4. 15-46 70. 19. 44-45 2-60 3 Moon's U. L. 37. 20. 28-00 29-92 56-5 0. 43-75 57. 33-36 34.41-95 + 0-54 75. 17.56-91 75. 33. 41-24 2-64 4 Moon's U. L. 43.33. 5-00 29-96 62-5 0. 53-91 58. 32-84 40. 7-71 + 0-28 81.25. 19-09 81.41.19-74 2-62 5 Moon's U. L. 50.24.19-80 29-89 58-5 1. 8-90 59. 30-06 45. 38-65 + 0-07 88. 11. 18-90 88. 27. 35-50 2-61 6 Moon's U. L. 57. 33. 23-60 29-78 55-5 1.29-76 60.22-19 50. 45-02 0-25 95. 15.38-10 95.32. 8-71 2-59 7 Moon's U. L. 64. 34. 38-20 29-77 56-5 1.59-47 61. 0-00 54. 54-53 0-47 102. 13. 13-88 102.29.54-85 2-57 8 Moon's CJ. L. ( a ) 70.56. 2-00 29-73 56-5 2. 43 33 61. 19-60 57- 47-64 108. 32. 29-96 108. 49. 16-33 2-55 9 Moon's L. L. 76. 34. 23-90 29-66 53-5 3. 54-94 61.17-95 59. 28-47 0-90 114. 10.22-65 113.53.36-75 2-53 17 Moon's U. L. 54. 57. 14-40 29-30 54-5 1.20-24 55. 16-50 45. 4-09 0-13 92.45. 0-00 93. 0. 6-81 2-39 June 3 Moon's U. L. 61.13.39-00 29-86 55-5 1.44-08 60. 2-46 52. 26-38 0-31 98. 54. 27-03 99. 10. 52 23 2-20 6 Moon's L. L. 78. 19. 57-50 29-69 47-5 4. 33-55 61.19-51 59. 54-86 0-97 115.56. 8-68 1 15. 39. 22-36 2-17 10 Moon's U. L. 73. 46. 10-30 30-00 40-5 3.21-51 58.4761 56. 17-76 0-81 111.24.45-98 111.40.50-67 2-15 11 Moon's U. L. . . 68.41.1860 29-86 44-5 2. 29-29 57. 47-84 53. 40-82 0-56 106.21.38-42 106. 37. 26-72 2-15 12 Moon's U. L. 62. 56. 14-90 29-90 50-5 1. 53-10 56. 50-84 50. 26-89 0-40 100.39. 11-94 100.54.44-61 2-14 30 Moon's U. L. C 1 ) 58. 42. 35-70 30-07 61-5 1.33-63 58. 48-94 50. 4-26 0-07 96. 25. 27-20 96.41.32-26 2-18 July 1 Moon's U. L. 65. 14. 18-60 30-09 62-5 2. 2-90 59. 33-04 53. 53-83 0-50 102.63.58-50 103. 10. 15-64 2-19 3 Moon's U.L. .. 76. 1. 7-10 29-92 63-5 3. 42-95 60. 38-65 58. 41-64 0-90 113.37.4061 113.54.15-73 2 -22 4 Moon's U.L. 79. 10. 52-20 29-91 60-5 4. 48-64 60. 50-83 59 37-26 ! 1-03 116.47 36-14 117. 4. 14-61 2-22 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing ihe Meridian. The Geocentric N. P. D. of Limh and of Center, iu the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olnfscn's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31 '.28" -23: q = 10" "22. Prom 1800, April 30, 90 - p = 38. 31'. 29" '10 : q = 9" '97 (') Observed at Transit of Center. Increase of N. P. D. during- passage of Semidiameter = + 16" '94. This is not applied to form the numbers in the columns "Geocentric N. P. D. of Limb," "Geocentric N. P. D. of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( b ) Observed 30 s after Transit of 1 L. Correction applied for distance from middle wire, 8" -01. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (195) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equntoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.I), of U. L. or L. L. , at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1800. July 5 Moon's L. L. . . O ' It 80. 46. 19-70 29-91 o 54-5 / // 5. 40-08 / // 60.45-13 / // 59. 49-84 a 1-08 O ' /' 118.23.42-70 / 118. 7. 5-80 it 2-23 G Moon's L. L. 79. 33. 7'70 29-87 56-5 5. 0-57 60. 21-06 59. 12-74 1-03 117. 10.28-15 116.53.57-84 2-24 7 Moon's L. L. 76. 19. 36-20 29-92 61-5 3. 48-92 59.41-46 57.61-19 0-88 113.57. 6-20 113.40.46-75 2-25 9 Moon's U. L. 65. 23. 4-70 30-03 54-5 2. 5-49 57. 55-03 52. 28-85 0-50 103. 4. 12-19 103. 20. 2-46 2-28 10 Moon's U. L. 59. 14. 28-10 30-12 51-5 1 . 37-72 56. 59-24 48. 47-29 0-27 96. 58. 48-57 97. 14. 23-55 2-29 11 Moon's U. L. 52. 58. 44-50 30-01 63-5 1. 15-09 56. 7-69 44. 37-38 0-05 90.46.51-40 91. 2. 12-25 2-31 12 Moon's U. L. 46.51.42-60 30-09 55-5 1. 1-63 55. 23-49 40.13-41 + 0-23 84. 43. 59-23 84.59. 7-96 2 33 14 Moon's U. L. 35. 47. 18-70 30-19 60-5 0.41-38 54.24-14 31. 36-78 + 0-54 73. 47. 50-16 74. 2.42-62 2-36 25 Moon's U. L. 43.47. 5-20 30-34 72-5 0. 53-97 57. 3-06 39. 16-26 + 0-27 81.40. 10-84 81.55.46-87 2-53 20 Moon's U.L. 50.13.38-00 30-22 69-5 1. 7-72 57. 35-72 44. 4-05 + 0-09 88. 2. 10-52 88. 17. 55-50 2-55 27 Moon's U. L. 56.51.21-40 30-11 70-5 1.25-74 58. 8-50 48. 29-44 0-23 94. 35. 47-37 94.51.41-34 2-57 29 Moon's U.L. 69.24. 2-00 30-07 69-5 2. 28-20 59. 10-88 55. 13-79 0-68 107. 2.47-85 107. 18. 58-92 2-62 30 Moon's U.L. 74.31.29-60 30-10 69-5 3. 19-95 59. 37-00 57. 18-01 0-83 112. 9. 3-57 112. 25. 21-80 2-64 31 Moon's U. L. . . 78.15.4420 30-10 70-5 4. 22-93 59. 55-85 58. 31-93 0-99 115.53. 7-65 116. 9.31-04 2-C5 Aug. 1 Moon's U. L. () Moon's L. L. . (") SO. 8.51-60 80. 41. 33-60 30-02 72-5 5. 9-01 5.26-16 60. 4-73 60. 4-73 59. 3-15 59. 9-20 - 1-08 117.46.28-36 118. 19.24-39 118. 2.54-19 118. 2.58-56 2-67 2 Moon's L. L. 80.27. 5-50 29-90 70-5 5. 18-44 60. 0-78 59. 2-79 1-07 118. 4.53-87 117.48.29-13 2-69 3 Moon's L. L. 78. 6.50-50 29-95 67-5 4. 20-00 59. 42-96 58. 17-67 - 0-97 115.44.25-29 115.28. 5-43 2-71 4 Moon's L. L. . ( c ) 74. I. 1-20 30-05 56-5 3. 18-34 69. 12-40 56.46-01 - 0-77 111.39. 5-54 111.22.54-05 2-73 5 Moon's L. L. 68. 39. 23-00 30-15 52-5 2. 28-01 58.31-28 54. 20-66 0-54 106. 19. 1-71 106. 3. 1-50 2-76 7 Moon's U. L. 55. 38. 39-70 30-25 535 1.25-16 56. 54-83 46. 47-79 0-13 93. 24. 46-63 93. 40. 20-40 2-80 8 Moon's U. L. 49. 16. 49-90 30-29 54-5 1. 7-65 56. 7-69 42. 20-68 + 0-13 87. 7. 4-60 87. 22. 25-45 2-82 9 Moon's U. L. 43.11.43-70 30-16 54-5 0. 54-47 65. 25-93 37. 44-57 + 0-30 81. 6.21-46 81.21.30-86 2-84 10 Moon's U. L. 37. 35. 48-60 29-84 60-5 0. 43-68 54. 52-26 33. 16-48 -f- 0-54 75. 34. 42 96 75.49.43-12 2-86 11 Moon's U. L. 32. 39. 49-00 29-92 61-5 0. 36-40 54. 28-41 29. 11-83 + 0-68 70. 42. 40-06 70. 57. 33-69 2-89 13 Moon's U. L. . . 25. 32. 22-80 30-07 58-5 0. 27-44 54. 12-96 23. 10-37 + 0-99 63.41. 5-54 63. 55. 54-94 2-93 28 Moon's U. L. 79.54.26-10 29-82 605 5. 7-59 59.21-21 58. 17-76 1-06 117.32.48-67 117.49. 2-47 3-20 29 Moon's L. L. 80. 55. 40-80 30-01 58-5 5. 43-74 59. 18-75 58. 26-33 1-08 118.34.31-00 118.18.17-77 3-22 The Moon's U.L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N.P. D. of Liuib and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsea's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38 D .31'.29"-10: q = 9" '97. (") Observed at Transit of 1 L. Correction applied for defective illumination, 1*'77. (") Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = + 2" -59. This is not applied to form the numbers in the columns "Geocentric N*. P. D. of Limb," "Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. ( c ) Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = 13" -54. 2 (C) 2 (196) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Kquatoreal Parallax. Parallax. Correction for Curvatnre ot I'ath. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1800. o / a in. o ' u , , ' ti 1 II o t n it Aug. 30 Moon's L. L. 79. 22. 40-60 30-02 60-5 4. 54-86 59. 8-84 57. 59-88 1-02 117. 1. 8-19 116. 44. 57-68 3-23 31 Moon's L. L. 75. 59. 40-30 29-94 57-5 3. 45-46 58. 50-89 56. 57-24 - 0-87 113.38. 0-75 113.21.55-16 3-25 Sep. 3 Moon's U. L. 58.31.37-00 29-78 54-5 1. 33-37 57. 13-59 48. 37-36 0-27 96. 16. 2-93 96.31.41-84 3-29 6 Moon's U. L. 39. 47. 46-30 29-16 56-5 0. 46-55 55. 18-02 35.11-59 + 0-45 77. 44. 48-69 77. 59. 55 92 3-33 11 Moon's U. L. 23. 8. 50-30 29'99 54-5 0. 24-68 54. 25-53 21.11-57 + 1-10 61. 19.28-83 61.34.21-67 3-38 15 Moon's L. L. 34. 1.28-70 29-92 66-5 0. 37-95 56. 36-69 31.28-10 + 0-64 72. 2. 5-21 71.46.36-41 3-42 23 Moon's U. L. 76. 28. 46-80 29-26 59-5 3. 47-31 59.31-55 57. 43-58 0-90 114. 6.22-80 114.22.39-53 3-44 26 Moon's L. L. 80. 10. 53-70 29-84 52-5 5.21-29 58.49-13 57. 49-48 1-06 117.49.58-20 117.33.53-09 3-44 27 Moon's L. L. 77. 23. 15-40 29-60 48-5 4. 12-08 58. 26-94 56. 53-92 0-94 115. 2. 5-94 114.46. 6-91 3-45 29 Moon's L. L. 67. 41. 49-50 29-56 49-5 2. 19-21 57. 33-88 53. 5-71 0-54 105. 22. 34 20 105. 6. 49-73 3-44 30 Moon's L. L. 61.38. 2-30 29-54 50-5 1.45-78 57. 3-55 50. 1-98 0-31 99.21.16-51 99. 5.40-35 3-43 Oct. 2 Moon's L. L. (") 48.51. 9-00 29-63 53-5 1. 5-32 55. 59-43 41.58-10 + 0-16 86.41. 44-91 86. 26. 26-32 3-42 Moon's U. L. (") 48.19.51-70 1, 4-14 55. 59-36 41.37-65 + 0-16 86. 10. 46-68 86.26. 5-25 3 Moon's U. L. 42. 11.46-70 29-55 49-5 0. 52-07 55. 28-09 37. 3-34 + 0-35 80. 7. 3-17 80.22. 13-16 3-41 4 Moon's U. L. 36. 33. 37-40 29-62 45-5 0. 43-06 54. 59-68 32. 33-34 + 0-54 74. 33. 14-10 74. 48. 16 31 3-41 6 Moon's U. L. 27. 40. 38-50 29-31 53-5 0. 29-65 54. 18-69 25. 1-49 + 0-90 65. 47. 32-57 66. 2.23-54 3-40 9 Moon's U. L. 23. 10. 14-30 28-88 48-5 0. 24-09 54.21-97 21. 11-38 + 1-10 61. 20. 52-43 61. 35. 44-30 3-37 10 Moon's U. L. 24. 29. 37-70 29-29 48-5 0.26-01 54. 44-48 22. 29-54 + 1-04 62. 38. 59-73 62. 53. 57-76 3-36 11 Moon's L. L. 27. 42. 53-40 29-80 40-5 0.31-01 55. 17-50 25. 30-60 + 0-92 65. 49. 19 75 65. 34. 12-66 3-35 14 Moon's L. L. 42. 52. 23-20 3004 49-5 0. 54-20 57.40-81 39. 2-28 + 0-34 80. 45. 42-96 80. 29. 56-59 3-32 26 Moon's L. L. 69. 26. 44-60 29-59 44-5 2.33-81 57.31-15 53.41-94 0-58 107. 7. 7-92 106. 51. 24-19 3-15 31 Moon's U. L. 38.37.39-10 29-90 42-5 0. 47- 12 54. 58-36 34. 6-93 + 0-50 76. 35. 46-58 76. 50. 43-42 3-05 Nov. 1 Moon's ILL. .. 33. 26. 29-60 29-88 46-5 0.38-60 54. 36-71 29. 53-59 + 0-64 71.28.41-18 71.43.37-08 3-03 2 Moon's U. L. 29. 5.47-90 29-34 48-5 0.31-82 54. 19-31 26. 12-81 + 0-85 67. 11. 33-00 67.26.2414 3-02 3 Moon's LI. L. 25. 48. 25-10 29-16 41-5 0. 27-88 54. 7-35 23.21-63 + 0-99 (53. 56. 57-06 64. 11.44-92 3-00 5 Moon's U. L. 23. 6. 18-40 29-70 41-5 0. 25-05 54. 4-38 21. 1-14 + 1-09 61. 17. 7-71 61.31.54-75 2-86 9 Moon's L. L. 34.31. 1320 29-71 36-5 0. 40-81 55. 50-29 31.26-29 + 0-63 72. 31. 54-46 72. 16. 38-38 2-87 10 Moon's L. L. 40. 0.45-60 29-29 53-5 0. 47-40 56. 40-51 36. 14-06 + 0-46 77. 56. 46-42 77.41.16-58 2-85 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, iu the tables above, are those corresponding to the time of passtige of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olnfseu's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p =38. 31'. 29" -10 : q =9" '97. (*) Observed at Transit of 1 L. . (*) Observed at Transit of 2 L. Correction applied for defective illumination 0"'ll. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (197; Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. ofU. L.orL.L., at Transit of 1 L.or2L. Geocentric N. P.O. of Center at Transit of 1 L. or 2 L. Tabular OHlqu.ly Ecliptic. 23.28'. 1800. O t II in. o / n / n / // // O 1 H O 1 II '/ Nov. 11 Moon's L. L. 46. 14. 50-70 29'55 40-5 I. 1-09 57. 37-08 41.25-03 + 0-27 84. 5.55-10 83.50. 9-75 2-83 12 Moon's L. L. 52. 59. 12-30 29-85 37-5 I. 18-80 58. 36-08 46. 35-82 0-02 90. 45. 24-49 90. 29. 22-96 2-81 22 Moon's L. L. 71. 4.20-30 29-95 40-5 2.51-40 58. 18-22 54. 59-69 0-63 108. 43. 43-68 108. 27. 47-04 2-65 25 Moon's L. L. 52. 56. 43-70 28-98 39-5 1. 16-07 56. 0-01 44. 30-24 0-02 90. 44. 58-74 90. 29. 40-00 2-59 26 Moon's L. L. 46.46. 15-10 29-41 34-5 1. 2-70 55. 25-47 40.11-37 + 0-27 84. 38. 34-87 84. 23. 25-60 2-58 27 Moon's L. L. 40. 54. 40-80 29-54 31-5 0.51-32 54. 57-28 35. 47-48 + 0-43 78. 51. 12-24 78. 36. 10-70 2-57 29 Moon's L. L. . . 30. 59. 10-70 2992 34-5 0. 36-04 54. 17-56 27. 45-07 + 0-77 69. 3.27-98 68. 48. 37-32 2-54 30 Moon's U. L. 20.51.17-40 29-95 37-5 0. 30-23 54. 5-63 24. 14-10 + 0-95 64. 58. 59-36 65. 13. 46-75 2-53 Dec. 2 Moon's U. L. 23. 16.29-10 29-34 33-5 0. 25-37 53. 58-05 21. 7-49 + 1-08 61.27.12-40 61.41.57-71 2-50 3 Moon's U. L. 23. 34. 46-00 29-11 32-5 0. 25-60 54. 3-14 21.25-31 + 1-08 61.45. 11-75 61.59.58-45 2-48 4 Moon's U. L. . . 25. 17. 19-50 28-65 33-5 0. 27-22 54. 15-07 22. 58-40 + 0-99 63. 26. 13-95 63.41. 3-92 247 25 Moon's L. L. 37. 2.32-80 29-33 39-5 0. 43-93 54. 46-95 32. 48-07 + 0-54 75. 1.55-72 74.46.57-01 240 26 Moon's L. L. 32. 14. 24-80 29-30 35-5 0. 37-00 54. 23-59 28. 48-98 + 0-72 70.17.39-28 70. 2.4697 2-40 27 Moon's L. L. 28. 19. 53-40 29-58 345 0.31-99 54. 8-10 25. 29-44 + 0-90 66.26.21-96 66.11.3389 241 31 Moon's U. L. 24. 41. 39-70 29-90 31-5 0.27-76 54. 11-57 22. 26 37 + 1-04 62.51. 6-68 63. 5.55-69 2-44 1801. Jan. 1 Moon's U. L. 27.21. 2-80 29-80 40-5 0. 30-54 54.26-12 24. 48-42 + 0-91 65. 28. 10-79 65.43. 3-79 2-46 3 Moon's L. L. 36. 28. 55-90 29-58 44-5 0. 42-96 55. 11-51 32. 36-73 + 0-54 74.28.23-10 74. 13. 17-66 2-48 6 Moon's L. L. 54. 29. 39-30 30-04 39-5 1.23-43 57. 4-42 46. 16-39 0-09 92. 16. 15-12 92." 0. 38-72 2-51 22 Moon's L. L. 33. 35. 35-00 29-33 35-5 0. 38-99 54.51-03 30. 8-78 + 0-65 71.37.31-16 71.22.31-33 2-75 24 Moon's L. L. . . 26. 9. 55-10 29-66 30-5 0. 29-48 54. 9-27 23. 40-80 + 0-99 64. 18. 9-01 64. 3. 20-63 2-79 25 Moon's U. L. 23.43.31-00 29-73 24-5 0. 26-78 54. 2-76 21.32-71 + 1-08 61. 53. 50-02 62. 8.36-62 2-81 27 Moon's U. L. 24. 2.27-40 29-65 34-5 0. 26-53 54.13-87 21. 53-53 + 1-06 62. 12. 25-38 62. 27. 15-02 2-85 28 Moon's U. L. 26. 18. 52-90 29-60 42-5 0. 28-88 54.28-74 23. 56-89 + 0-95 64.26.50-10 64. 41. 43-82 2-87 29 Moon's U. L. 29.51. 16-70 29-80 39-5 0. 33-96 54. 48-50 27. 4-79 + 0-81 67.56. 11-49 68. 1 1. 10-63 2-89 Feb. 3 Moon's L. L. 59. 11. 32-80 29-81 49-5 1.36-92 57. 13-33 48. 58-05 0-27 96. 55. 41-06 96.40. 2-22 2-99 4 Moon's L. L. 65. 27. 36-60 29-83 48-5 2. 6-63 57. 49-39 52.25-87 0-49 103. 8.47-57 102.52.58-84 3-01 7 Moon's L. L. 79. 29. 30-30 30-14 32-5 5. 17-51 59. 38-29 58.30-14 1-03 117. 7.49-58 116.51.31-00 3-08 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Oliifsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. ijO -p = 38. 31'. 29" -10: q = 9" "97. From 1801, Jan. 6, 90 - p = 38. 31'. 28" '48 : q = 9" '78. (198) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal 1 'a rail ax. Parallax. Correction for Curvature of Path. Geocentric N.P. D. of U. L. or L. L. t Transit of 1 L. or 2 L. Geocentric N.P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 26'. 1801. Feb. 18 Moon's L. L. . . O f It 35. 25. 35-90 29-67 o 36-5 / // 0. 42-15 / // 55. 37-20 / // 32. 2-20 u + 0-58 / 73.25.42-12 o / // 73. 10. 29-62 ft 3-27 20 Moon's L. L. . . 27. 2.46-20 29-54 40-5 0. 29-88 54.32-14 24. 35-76 + 0-95 65. 10. 5-64 64.55. 10-98 3-32 23 Moon's U. L. 23. 23. 31-50 29-21 36-5 0. 25-25 54. 14-00 21.19-85 + 1-08 61.34. 1-80 61.48.51-48 3-36 24 Moon's U. L. 25. 10. 43-70 29-61 37-5 0. 27-75 54. 27-58 22. 58-04 + 1-01 63. 19. 38-51 63.34.31-91 3-38 25 Moon's U. L. 28. 17. 37-90 29-45 45-5 0.31-08 54. 48-47 25.46-47 + 0-88 66.23.51-48 66. 38. 50-61 3-40 26 Moon's U. L. 32. 34. 19-30 29-93 38-5 0. 38-03 55. 15-04 29. 32-38 + 0-68 70. 36. 50-86 70. 51. 57-27 3-41 27 Moon's U. L. 37.48. 4-50 29-81 38-5 0. 45-99 55. 45-20 33. 58-06 + 0-54 75.46.19-05 76. 1.33-74 3-43 Mar. 4 Moon's L. L. 69.43. 9-30 30-30 37-5 2.42-16 58. 14-21 54. 28-03 0-58 107. 22. 54-25 107. 6.58-72 3-49 7 Moon's U. L. 80. 22. 36-00 30-13 29-5 5. 47-57 59. 13 37 58. 15-20 1-08 118. 1.40-37 118.17.52-13 3-52 19 Moon's L. L. 28. 22. 28-20 29-71 46-5 0. 29-99 55. 1-63 25. 56-80 + 0-90 66. 28. 26-87 66. 13.24-13 3-57 21 Moon's L. L. 23.41.42-90 29-00 40-5 0. 25-22 54. 19-41 21.37-83 + 1-10 61.51.55-26 61.37. 4-10 3-58 24 Moon's U. L. 26. 45. 59-50 29-69 40-5 0. 29-67 54. 36-65 24. 23-48 + 0-95 64. 53. 30-97 65. 8.26-86 3-57 25 Moon's U. L. 30. 34. 30-80 30-08 40-5 0. 35-20 55. 2-57 27. 47-64 + 0-77 68. 38. 44-05 63.53.47-05 3-57 26 Moon's U. L. 35. 25. 38-10 29-99 46-5 0.41-73 55. 35 94 32. 1-41 + 0-54 73. 25. 44-65 73. 40. 56-80 3-57 27 Moon's U. L. 41. 7. 6-20 29-89 45-5 0.51-13 56. 14-26 36.46-71 + 0-40 79. 2.37-64 79. 18. 0-29 3-56 28 Moon's U. L. 47. 25. 17-60 29-90 48-5 1. 3-34 56. 54-83 41. 42-48 + 0-20 85. 16. 6-33 85.31.40-10 3-56 30 Moon's L. L. 61. 18. 11-60 30-37 39-5 1. 49-74 58.10-35 50. 50 93 0-31 99. 0.40-11 98.44.45-64 3-55 31 Moon's L. L. 67. 40. 51-80 30-21 38-5 2. 25-45 58. 40-03 54. 6-39 0-54 105. 20. 41-39 105. 4. 38-78 3-54 Apr. 1 Moon's L. L. 73. 19. 0-20 30-15 39-5 3.17-26 59. 1-58 56. 23-39 0-76 110.57.25-30 110. 41. 16-78 3-53 2 Moon's L. L. 77. 44. 27-30. 30-15 48-5 4. 24-07 59. 14-80 57. 45-37 0-95 115.22.37-72 115. 6.25-56 3-5-2 5 Moon's U. L. 79. 28. 52-30 29-93 32-5 5. 14-99 59. 11-04 58. 3-03 1-04 117. 7.3(5-16 117.23.47-27 3-49 8 Moon's U. L. 65. 52. 57-80 29-66 40-5 2. 10-54 58. 22-38 53. 6-28 0-54 103. 33. 32-29 103. 49. 30-06 3-46 9 Moon's U. L. 59. 27. 47-00 29-41 49-5 1. 36-65 57. 57-59 49. 44- 12 0-27 97. 11. 8-96 97. 26. 59-93 3-45 18 Moon's U. L. 22.55. 9-30 29-91 55-5 0. 24-30 54. 16-72 20. 50-22 + 1-12 61. 6. 2-25 61. 20. 52-68 3-33 19 Moon's U. L. 23.32.5290 29-99 60-5 0. 24-86 54. 13-13 21. 27-62 + 1'08 61.43.15-07 61.58. 4-51 3-31 20 Moon's U. L. . . 25. 34. 18-70 29-98 60-5 0. 27-29 54.20-12 23. 15-09 + 0-99 63. 42. 56-04 63. 57. 47-40 3-30 22 Moon's U. L. 33.13. 7-40 30-26 41-5 0.39-17 55. 6-81 29. 59-42 + 0-68 71. 15. 13-17 71.30.17-33 3-26 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing; the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. U. is formed by adding Olufsen's 90 p and - q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 28" -48: q = 9" 78. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (199) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax . Parallax. Correction for Curvature of Path. Geocentric N.P.D. ofU.L.orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1801. o / in. o / * / * / // O ' tl O / " II Apr. 23 Moon's U. L. 38. 29. 24-00 30-24 42-5 0. 47-42 55. 44-62 34. 29-36 + 0-50 76.27. 8-75 76. 42. 23-28 3-23 24 Moon's U. L. 44. 28. 19-30 30-17 42-5 0. 58-39 56. 29-62 39.22-51 + 0-27 82.21.22-63 82. 36. 49-49 3-21 25 Moon's TJ. L. 50.57. 5-20 30-12 45-5 1. 12-70 57. 18-55 44. 18-59 + 0-06 88. 45. 27-63 89. 1. 7-90 3-19 26 Moon's U. L. 57.40.11-70 30-14 46-5 1. 32-94 58. 7-83 48. 55-81 0-25 95.24.17-98 96.40.11-76 3-16 27 Moon's U. L. 64. 18. 1-60 30-16 43-5 2. 2-80 58. 52-99 52. 52-83 0-45 101.58.41-63 102. 14. 47-79 3-15 28 Moon's L. L. 70. 58. 35-00 30-10 43-5 2. 50-27 59. 29-83 56. 5-27 0-63 108. 36. 50-97 108.20.34-71 313 29 Moon's L. L. 76. 5. 7-90 30-02 41-5 3. 56-30 59. 54-95 68. 0-66 0-87 113.42.34-08 113.26.10-94 3-11 30 Moon's L. L. 79. 38. 18-30 29-94 39-5 6. 14-86 60. 6-12 58. 59-11 1-03 117.16. 5-98 116.59.39-77 3-09 May 2 Moon's U. L. 80. 1.53-70 29-59 38-5 5. 23-47 59, 48-72 58.46-19 1-08 1 17. 40. 2-92 117.56.24-36 3-05 4 Moon's U. L. 73. 4.55-10 30-02 46-5 3. 10-78 58. 55-45 56. 13-04 - 0-77 110.43.24-01 110. 59. 30-85 3-01 7 Moon's U. L. 54. 54. 28-90 29-88 48-5 I 22-70 57. 17-09 46. 40-86 0-13 92. 40. 39-55 92. 56. 19-42 295 17 Moon's U. L. 24. 46. 39-60 29-66 61-5 0. 25-90 54. 7-39 22. 28-91 + 1-04 62.56. 1-66 63. 10. 49-53 2-78 19 Moon's U. L. 31.29.47-20 29-79 61-5 0. 34-62 54. 34-34 28. 18-48 + 0-73 69.33.29-13 69. 48. 24-39 2-73 20 Moon's U. L. 36. 20. 17-50 29-87 61-5 0. 41-69 55. 3-25 32. 25-13 + 0-54 74.20. 0-44 74.35. 3-62 2-71 21 Moon's U. L. 41.55. 10-30 29-70 61-5 0. 50-58 55. 42-06 37. 0-66 + 0-36 79. 60. 27-33 80. 5.41-16 2-69 22 Moon's U. L. . . 48. 3. 39-30 29-65 61-5 1. 2-35 56. 29-53 41.49-40 + 0-18 85.54.20-21 86. 9.47-04 2-68 23 Moon's U. L. . . 54. 33. 13-30 29-58 59-5 1. 19-02 57. 23-37 46.33-61 0-11 92. 19. 27-48 92.35. 9-07 2-67 24 Moon's U. L. 61. 9. 2-60 29-74 55-5 1. 43-33 58.19-81 50. 54-45 0-31 98.51.21-16 99. 7.18-23 2-64 25 Moon's U. L. 67. 30. 48-30 29-59 68-5 2. 13-41 59. 14-45 64. 33-85 0-54 105. 9.58-36 105. 26. 10-40 2-63 20 Moon's U. L. 73. 10.41-80 29-56 53-5 3. 6-24 60. 1-06 57. 17-38 - 0-77 110.48. 1-84 111. 4.26-66 2-61 27 Moon's L. L. ( a ) 78. 7.55-90 29-49 52-5 4. 24-42 60. 34-80 59. 8-53 115.44.44-52 115. 28. 10-46 2-60 June 1 Moon's U. L. 69.20. 18-60 29-78 535 2.31-10 59. 14-28 55. 15-62 0-58 106.59. 4-84 107. 15. 16-84 2-53 17 Moon's U. L. 39.58. 2-40 29-96 61-5 0. 47-64 54. 58-64 35. 6-83 + 0-45 77. 55. 10-09 78.10. 12-01 2-41 18 Moon's U. L. 45. 47. 56-10 29-94 67-5 0. 57-68 55. 35-48 39. 39-30 + 0-27 83.40.42-15 83.55.54-16 2-40 21 Moon's U. L. 64. 43. 34-00 29-90 58-5 2. 0-31 58. 12-59 52. 27-74 0-50 102. 24. 36-65 102. 40. 31-73 2-40 22 Moon's U. L. .. 70.37. 6-80 29-80 53-5 2.41-88 59. 11-30 55. 40-20 0-65 108. 15.39-37 108. 31. 50-55 2-41 26 Moon's L. L. 80. 11. 16-50 30-04 57-5 5. 20-28 61. 18-54 60. 16-43 - 1-06 117.47.52-33 117.31. 6-28 242 Tbe Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. 1). is formed by adding Olufsi-n's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 28" -48 : q = 9" '78. (*) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = + 10" '61. This is not applied to form the numbers in the columns "Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. (200) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. % Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P.O. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity Ecliptic. 23.28'. 1801. June 27 Moon's U. L. o / " 76. 28. 32-<10 in. 30-10 o 56-5 / // 3. 5-V24 61. 2-43 ' // 59. 11-70 if 0-91 o t n 114. 4.47-50 o / // 114.21.29-14 a 2-42 28 Moon's U. L. 71.33.42-40 30-15 55-5 2. 51-92 60. 28-25 57. 12-09 - 0-68 109.10.53-24 109.27.25-51 242 30 Moon's U. L. 58. 53. 20-20 29-57 55-5 1.33-85 58. 47-03 50. 8-36 0-27 96.36.15-02 96. 52. 19-55 2-43 July 1 Moon's U. L. 52. 8.26-40 29-50 56-5 1.12-64 57.51-37 45. 28-85 0-00 89. 55. 38-66 90.11.27-93 2-44 18 Moon's U. L. . . 62. 31. 17-90 29-75 70-0 1.46-29 57. 3-10 50. 26-30 0-38 100. 14. 7-73 100.29.43-77 2-61 19 Moon's U. L. 68. 26. 23-80 29-89 70-5 2. 19-98 57. 56-26 53. 43-05 0-54 106. 6.31-38 106.22.21-99 2-63 20 Moon's U. L. 73.41.35-60 30-03 69-5 3. 9-10 58.52-12 56. 20-69 0-77 111.19.55-28 111.36. i-20 2-65 21 Moon's U. L. 77. 47. 50-70 30-00 69-5 4. 12-76 59.45-87 58. 16-06 0-97 115.25. 19-11 116.41.39-77 2-66 30 Moon's U. L. 41. 28. 35-80 29-50 60-5 0. 49-57 57. 8-96 37. 38-58 + 0-38 79.23. 13-85 79.38.51-50 2-81 Aug. 12 Moon's U. L. 48. 19. 18-50 29-84 73-5 1. 2-05 55. 17-31 41. 6-01 + 0-18 86. 10. 42-55 86. 25. 49-58 3-03 16 Moon's U. L. 72. 7. 8-40 30-17 70-5 2. 52-37 57. 45-79 54. 48-97 0-72 109. 46. 42-87 110. 2.30-61 3-11 17 Moon's U. L. 76. 33. 56-50 30-16 68-5 3.51-52 58.31-93 56. 47-02 0-92 114. 12.32-57 114.28. 32-96 3-12 18 Moon's U. L. 79. 35. 36-70 30-07 65-5 4. 58-10 59. 17-72 58. 10-81 1-06 117. 13.55-89 117.30. 8-83 3-14 19 Moon's L. L. 81. 17.46-30 30-00 64-5 5. 52-75 59. 59-03 69. 9-64 1-10 118.56. 1-52 118.39.37-25 3-15 20 Moon's L. L. 80. 18. 1-60 29-89 65-5 5. 16-87 60. 3D-71 59. 30-61 1-00 117.55.19-86 117.38.46-91 317 22 Moon's L. L. 72. 9.52-70 ! 30-09 54-5 2. 68-01 60.48-73 57. 43-74 0-70 109. 46. 38-06 109.30. 0-18 3-21 23 Moon's L. L. () Moon's U. L. (") 65. 53. 20-80 65.19.40-10 30-07 53-5 2. 8-87 2. 5-60 60. 30-62 60. 30-55 55. 332 54. 48-28 0-50 0-50 103.31.56-62 102. 58. 26-4-2 103. 15. 23-70 103. 14. 59-32 3-22 27 Moon's U. L. 37.55.51-70 29-83 50-5 0.45-10 57. 17-74 35. 0-59 + 0-54 75.53. 2-84 76. 8.42-88 :3"28 28 Moon's U. L. 32. 27. 28-40 29-79 56-5 36-32 56. 24-31 30. 3-72 + 0-70 70. 29. 26-91 70. 44. 52-31 3-30 29 Moon's U. L. 28. 3.56-10 29-74 69-5 0. 29-62 55. 37-33 25.57-72 + 0-89 66. 9. 53-42 66. 25. 5-95 3-31 31 Moon's U. L. . . 23. 12. 15-30 29-68 5-2-5 0. 24-60 54. 31-59 21. 16-92 + 1-10 61. 22. 47-88 61.37.42-38 3-34 Sep. 1 Moon's U. L. 22. 56.29-10 29-60 61-5 0. 23-78 54. 14-32 20. 56-44 + 1-13 61. 7.21-33 61.22. 11-10 3-35 15 Moon's U. L. .. 80. 39. 59-10 30-25 64-5 5. 33-25 58. 57-98 58. 2-99 1-10 118. 19. 1-38 118. 35. 8-91 3-46 16 Moon's L. L. 80. 59. 46-60 30-11 59-5 5. 46-67 59.26-11 58. 34-26 1-10 118.38. 31-08 118.22.15-84 3-47 18 Moon's L. L. 74. 36. 10-20 29-45 64-5 3. 18-66 60. 1-33 57. 42-95 0-81 112. 13. 17-28 111.56. 52-38 3-47 19 Moon's L. L. 68.59.21-40 29-81 57-5 2. 27-34 60. 2-49 55. 52-96 0-54 106. 37. 26-52 106.21. 1-31 3-47 20 Moon's L. L. 62. 23. 45-90 29-74 55-5 1.48-82 59.50-12 52. 50-53 0-34 100. 4. 10-62 99. 47. 48-80 3-46 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p= 38 3 . 31'. 28" -48: q = 9" 78. ( a ) Observed at Transit of 1 L. ( b ) Observed at Transit of 2 L. Correction applied for defective illumination, 1"-17. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (201) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature ofPath. Geocentric N. P. D. ofU.L. orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabulai Obliquity of Ecliptic. 23.28'. 1801. O / II ID. o / // / // / it o / // o < II Sep. 24 Moon's U. L. . . 34. 52. 25-70 29-96 49-5 0. 40-59 57. 12-98 32. 30-17 + 0-58 72. 52. 2-30 73. 7.41-04 3-46 25 Moon's U. L. 29. 50. 56-90 29-83 49-5 0. 33-29 56. 24-35 27.51-86 + 0-81 67.55. 3-94 68. 10. 29-35 3-46 27 Moon's U. L. 23.41.44-50 29-95 57-5 0.25-15 55. 2-82 21.55-09 + 1-08 61.51.39-51 62. 6.42-57 3-46 28 Moon's U. L. 22. 49. 32-40 29-84 59-5 0. 23-94 54. 35-28 20. 58-44 + 1-12 61. 0.22-76 61. 15. 18-27 3-44 30 Moon's L. L. 25.58. 6-30 30-11 48-5 0. 28-58 54. 12-54 23.32-19 + 0-99 64. 6.27-89 63.51.38-61 3-43 Oct. 1 Moon's L. L. 29. 13. 10-80 30-13 52-5 0. 32-57 54. 17-56 26. 18-15 + 0-86 67. 18. 50-79 67. 4. 0-13 3-42 12 Moon's U. L. 80. 18. 39-50 29-75 57-5 5.21-00 58.47-10 57. 48-60 1-08 117. 57. 43-89 118.13.48-44 3-32 18 Moon's L. L. 58. 18. 50-70 29-90 50-5 1.33-74 58. 56-07 49. 57-74 0-27 96. J. 55-94 95. 45. 48-93 3-22 19 Moon's L. L. 51.20. 9-50 29-54 44-5 1.12-43 58. 34-07 45. 31 94 + 0-05 89. 7.18-37 88. 51. 17-39 3-21 20 Moon's L. L. 44. 29. 43-30 29-62 39-5 0. 57-73 58. 4-17 40. 29-54 + 0-27 82.21.38-94 82. 5.46-17 3-19 22 Moon's U. L. . . 32. 5. 12-10 29-74 45-5 0. 36-56 56. 49-00 29.58-21 + 0-71 70. 7. 16-31 70. 22. 48-48 3-16 23 Moon's TJ. L. 27.41. 3-80 30-10 39-5 0.31-35 56. 8-95 25. 52 69 + 0-90 65.47. 7-83 66. 2.29-03 3-13 24 Moou's TJ. L. 24. 38. 22-80 29-91 41-5 0.27-13 55.31-17 22. 56 43 + 1-04 62. 47. 18-55 63. 2. 29-38 3-11 26 Moon's TJ. L. 23. 6. 12-10 30-24 46-5 0. 25-24 54. 33-47 21. 12-36 + 1-10 61. 16. 49-86 61.31.44-87 3-08 28 Moon's L. L. 27. 50. 20-60 30-10 37-5 0. 31-69 54. 13-25 25. 7-20 + 0-91 65. 57. 10-49 65.42.21-01 3-04 29 Moon's L. L. 31.42.14-20 29-87 52-5 0. 35-66 54. 19-70 28. 21-02 + 0-74 69. 45. 54-68 69.31. 3-44 3-00 30 Moon's L. L. 36.28. 3-70 29-89 55-5 0. 42-43 54. 36-87 32. 15-66 -r- 0-54 74. 27. 56-87 74. 13. 0-92 2-98 Nov. 11 Moon's L. L. 77. 12. 18-10 29-63 48-5 4. 8-76 59. 26-95 57.49-81 0-92 114.50. 8-72 114. 33. 53-25 2-74 12 Moon's L. L. 72. 36. 15-00 29-74 44-5 3. 4-37 59. 13-02 56.21-22 0-72 110. 14. 29-29 109. 58. 17-66 2-72 14 Moon's L. L. 60.24.21-80 30-05 39-5 1.44-42 58. 33-26 50. 44-04 0-27 98. 6.51-77 97.50.51-02 2-67 18 Moon's L. L. 34. 44. 52-70 29-52 43-5 0. 40-31 56. 42-91 32. 7-04 + 0-61 72.44.52-16 72.29.21-66 2-59 19 Moon's U. L. 29. 25. 9-30 29-65 34-5 0. 33-54 56. 11-22 27. 23-40 + 0-82 67. 29. 45-00 67.45. 6-82 2-57 21 Moon's U. L. 23. 40. 40-40 29-32 35-5 0. 25-74 55.10-15 21.57-07 + 1-08 61.50.34-01 62. 5. 39-08 2-52 22 Moon's TJ. L. 23. 4. 9-80 29-60 31-5 0. 25-45 54. 44-32 21.14-79 + 1-10 61. 14. 45-33 61.29.43-32 2-50 24 Moon's L. L. 26. 45. 52-30 29-59 35-5 0. 29-88 54.11-83 24. 12-35 + 0-96 64.53.35-12 64. 38. 46-04 2-47 25 Moon's L. L. 30. 12. 57-80 29-16 41-5 0. 33-57 54. 8-33 27. 2-74 + 0-81 68. 17. 54-30 68. 3. 6-17 2-44 26 Moon's L. L. 34. 36. 32-40 29-14 33-5 0. 40-42 54. 15-00 30. 36-79 + 0-61 72.38. 2-20 72. 23. 12-25 2-42 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P, D. to the corrected Quadrant Reading. 90 - p = 38 3 . 31'. 28" -48 : q = 9" '78. GREENWICH LUNAR REDUCTIONS. 2(D) (202) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. fear, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature . of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 28'. 1801. ' m. / a / // / a 1 1, o / // It Nov. 27 Moon's L. L. . . 39. 44. 20-40 29-13 35-5 0. 48-45 54. 32-76 34. 40-40 + 0-48 77. 41. 55-33 77.27. 0-51 2-41 28 Moon's L. L. 45. 25. 22-60 29-49 26-5 1. 1-02 55. 1-14 38. 59-81 + 0-27 83. 18. 51-42 83. 3. 48-82 2-39 30 Moon's L. L. 57. 45. 27-00 28-68 37-5 1. 30-41 56. 26-29 47. 33-26 0-23 95. 30. 53-34 95. 15.27-39 2-35 Dec. 9 Moon's L. L. 74. 10. 3-30 28-65 48-5 3.14-10 60. 8-35 67. 42-25 0-79 111.47. 6-47 111.30. 39-65 2-25 10 Moon's L. L. 68.35.18-20 29-33 42-5 2. 26-50 59. 39 35 55. 22-31 0-54 106.13.53-06 105. 57. 34-19 2-24 11 Moon's L. L. 62.11.54-80 29-47 39-5 1.50-53 59. 3-49 52. 3-67 0-34 99.53. 11-48 99.37. 2-44 2-22 12 Moon's L. L. 55.27. 0-70 29-41 32-5 1. 25-87 58. 24-70 47. 55-13 0-13 93. 12. 0-34 92.56. 1-92 2-22 13 Moon's L. L. 48. 42. 22-40 29-54 31-5 1. 7-82 57. 45-82 43. 12-04 + 0-18 86.31.46-25 86. 15. 58-50 2-21 14 Moon's L. L. 42. 15. 47-90 29-60 26-5 0. 54-85 57. 8-53 38. 13-55 + 0-36 80. 9.56-37 79. 54. 18-84 2-20 16 Moon's L. L. . . 31.21.58-10 29-16 26-5 0. 36-27 56. 1-76 28. 57-39 + 0-77 69. 25. 2-79 69. 9. 43-56 2-18 17 Moon's L. L. 27.25.45-10 29-46 25-5 0. 31-27 65. 32-03 25. 22-86 + 0-95 65. 32. 18-89 65. 17. 7-66 2-18 18 Moon's U. L. 24. 18.24-10 29-67 25-5 0. 27-40 55. 6-59 22. 28-81 + 1-05 62. 27. 47-70 62.42.51-79 2-18 19 Moon's U. L. () 23. 10.44-80 30-11 22-5 0..26-54 54. 43-68 21.20-34 + 1-10 61.21. 15-89 61.36. 13-70 2-18 21 Moon's U. L. 25. 24. 41-00 29-64 37-5 0. 28-08 54. 10-82 23. 2-89 + i-oo 63.33.31-31 63. 48. 20-12 2-17 26 Moon's L. L. 49. 14. 17-60 29-10 40-5 1. 6-80 54. 52-07 41.22-17 + 0-14 87. 5.30-35 86. 50. 30-24 2-16 30 Moon's L. L. 72.43. 9-40 29-63 29-5 3. 10-96 58. 9-00 55. 22-42 0-72 110.22.29-11 110. 6.35-01 2-19 1802. Jan. 9 Moon's L. L. 50. 43. 48-40 29-60 32-5 1.12-84 58.43-95 45.16-16 + 0-09 88.31.13-40 88.15. 9-71 2-27 10 Moon's L. L. 44. 1. 14-10 29-21 27-5 0. 57-43 57. 51-18 39. 59-87 + 0-29 81.53. 39-05 81. 37. 49-84 2-28 11 Moon's L. L. 37.53. 7-40 29-31 27-5 0. 46-42 67. 1-28 34. 48-49 + 0-54 75.50.31-96 75. 34. 56-42 2-20 12 Moon's L. L. 32.34. 47-10 29-39 25-5 0. 38-40 56. 16-72 30. 5-83 + 0-70 70. 36. 45-60 70.21.22-27 2-31 14 Moon's L. L. 25. 20. 56-80 29-83 25-5 0. 28-90 55. 6-74 23. 23-53 + 1-04 63. 29. 27-32 63. 14.23-18 2-34 15 Moon's ILL. .. 23. 17. 15-50 30-31 18-5 0. 27-09 54.41-37 21.25-16 + 1-10 61.27.42-34 61.42.39-52 2-35 16 Moon's U. L. . . 23. 14. 9-70 30-13 33-5 0.26-01 64.22-10 21. 14-90 + 1-10 61.24.45-71 61.39. 37-62 2-36 18 Moon's U. L. ( b ) 27.21.57-80 29-86 40-5 0. 30-62 53. 59-87 24. 37-22 65.29.15-62 65. 44. 1-43 2-40 19 Moon's U. L. 31. 11. 8-80 29-49 36-5 0. 35-66 53. 56-89 27. 44-07 + 0-74 69. 15.29-26 69. 30. 14-25 2-40 21 Moon's L. L. 41. 39. 46-40 29-64 38-5 0. 52-43 54. 8-78 35. 47-95 + 0-38 79. 36. 17-98 79.21.29-73 2-44 22 Moon's L. L. . . 47.23. 16-00 30-30 29-5 1. 0-71 54. 25-01 39.51-54 + 0-20 85. 15. 69-04 85. 1. 6-34 2-46 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. 1'. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Ouadrant Rending. 90- p =38. 31'. 28" -48: q=9"'78. (*) Observed at Transit of 1 L. Increase of N.P.D. during passage of Semidiameter, = 0"'95. ( b ) Observed at Transit of Center. Increase of N.P.D. during passage of Semidiameter = +8"'61. This is not applied to form the numbers in the columns "Geocentric N.P.D. of Limb," " Geocentric N.P.D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (203) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1802. o ; // In. o / a / a / // it O 1 // o / // 'i Jan. 27 Moon's L. L. 75. 28. 13-00 30-35 38-5 3.49-19 57. 48-26 55. 48-77 0-86 113. 7.44-88 112.51.56-47 2-54 Feb. 5 Moon's L. L. 53.49. 4-10 29-89 39-5 1.20-98 60. 8-26 48.20-41 0-05 91. 33. 33-37 91.17. 6-68 2-68 9 Moon's L. L. 29. 26. 31-80 29-65 37-5 0. 33-36 66.21-91 27. 29-85 + 0-85 67.31. 0-90 67. 15. 36-15 2-75 11 Moon's L. L. 23. 58. 21-10 29-66 30-5 0. 26-68 54.59-16 22. 8-28 + 1-09 62. 8. 4-50 61.53. 2-44 2-79 12 Moon's U. L. 22. 57. 37-60 29-98 33-5 0. 25-54 54. 31-20 21. 3-98 + 1-12 61. 8.24-04 61.23.18-43 2-81 13 Moon's U. L. 23. 56. 13-30 29-98 30-5 0. 26-93 54. 12-11 21.47-44 + 1-08 62. 6. 17-77 62.21. 6-93 2'82 15 Moon's U. L. 29. 46. 53-90 29-62 28-5 0. 34-44 53. 56-66 26. 35-60 + 0-81 67. 52. 18-35 68. 7. 3-28 2-86 1C Moon's U. L. 34. 13. 56-80 29-39 30-5 0. 40-45 53. 58-77 30. 9-98 + 0-61 72. 15. 53-38 72. 30. 38-89 2-88 23 Moon's L. L. 74. 1.47-40 29-93 41-5 3. 23-97 56. 45-69 54. 25-50 0-78 111.42.17-10 111.26.45-84 2-98 25 Moon's L. L. 80.31.46-30 30-04 33-5 5. 48-78 58. 22-70 57.27-17 1-08 118.11.39-93 1 17. 55. 42-07 3-00 26 Moon's L. L. 81. 16.44-50 29-95 35-5 6. 14-13 59. 13-95 58. 25-08 1-11 118.56. 5-67 118. 39. 53-76 3-02 Mar. 6 Moon's L. L. 43.10. 4-70 30-14 40-5 0. 55-97 59. 27-95 40. 28-25 + 0-33 81. 1.59-79 80. 45. 44-04 3-08 7 Moon's L. L. 36.42. 1-00 29-92 39-5 0. 44-26 58.31-48 ' 34. 45-72 + 0-54 74. 39. 26-07 74. 23. 25-80 3-09 9 Moon's L. L. 27. 8. 0-20 29-99 42-6 0. 30-32 56. 36-07 25. 36-27 + 0-95 65. 14. 19-70 64.58.51-07 3-11 11 Moon's U. L. 22. 53. 45-00 30-01 45-5 0. 24-85 55. 5-09 21. 13-64 + 1-12 61. 4.21-20 61.19.24-88 3-12 12 Moon's U. L. 23. 22. 11-30 29-79 42-5 0. 25-40 54.34-15 21.26-62 + 1-08 61.32.35-22 61. 47. 30-42 3-12 13 Moon's U. L. 25.16.12-10 30-06 36-5 0. 28-35 54. 13-51 22. 56-79 + 0-99 63.25. 8-99 63. 39. 58-54 3-13 14 Moon's U. L. 28.24.21-80 30-30 31-5 0. 33-08 54. 3-01 25.30-71 + 0-87 66. 30. 49-85 66.45.36-51 3-12 15 Moon's U. L. 32. 33. 32-20 30-21 30-5 0. 39-02 54. 1-79 28. 52-61 + 0-68 70. 36. 44-73 70. 51. 31-06 3-12 10 Moon's U. L. 37. 30. 36-00 30-32 34-5 0. 46-67 54. 8-17 32. 45-89 + 0-54 75.30. 3-54 75.44.51-63 3-13 17 Moon's U. L. 43. 2.43-60 30-23 40-5 0. 55-90 54.21-26 36. 54-32 + 0-32 80. 58. 12-62 81. 13. 4-29 3-13 18 Moon's U. L. 48. 57. 54-10 29'90 37-5 1. 8-40 54. 39-75 41. 2-52 + 0-13 86. 49. 28-20 87. 4.24-94 3 12 21 Moon's L. L. 67. 24. 55-10 29-37 39-5 2. 19-29 55. 57-68 51.30-43 0-54 105. 7.14-54 104. 51. 56-43 3-13 22 Moon's L. L. . . j 72. 36. 51-70 29-62 39-5 3. 5-68 56. 29-04 53. 45-35 0-72 110. 17. 43-25 110. 2.16-55 3-12 27 Moon's U. L. 77. 38. 5-20 30-15 48-5 4. 21-90 59. 26-59 57. 55-13 0-97 115.16. 3-71 115.32.19-09 3-08 Apr. 7 Moon's L. L. 23. 44. 29-40 30-18 56-5 0. 25-45 55. 63-09 22. 17-85 + 1-10 61.54. 2-21 61.38.45-19 2-98 10 Moon's U. L. 27. 8.26-40 29-77 50-5 0. 29-62 54. 19-76 24. 34-89 + 0-92 65. 15. 46-66 65. 30. 37-92 2-94 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. I), is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90-p = 38. 31'. 28"-48: q = 9"78. From 1802, Feb. 26,90-p=38. 31'. 28" -55 : q=9"-68. From 1802, Mar. 12, 90-p=38.31'. 28"'62 : q=9"'57. 2(D) 2 (204) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P.O. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1802. Apr. 11 Moon's U. L. / II 30. 56. 19-70 29-67 o 45-5 0. 34-87 54. 9-56 27. 38-59 1 + 0-77 o / // 69. 0.41-94 o / // 69. 15. 30-40 It 2-92 12 Moon's U. L. 35. 35. 55-80 29-70 40-5 0. 42-11 54. 10-24 81. 19-98 + 0-54 73. 36. 44-39 73.51.33-04 2-90 13 Moon's U. L. 40.55. 9-90 30-09 38-5 0.51-86 54. 20-31 35. 23 65 + 0-40 78.52. 5-28 79. 6.56-69 2-88 15 Moon's U. L. 52.45. 6-10 29-88 43-5 1. 17-24 55. 3-76 43. 38-64 0-04 90. 34. 13-38 90. 49. 16-70 2-84 19 Moon's L. L. 75.33. 6-90 30-14 51-5 3.42-73 57. 11-36 55. 14-35 0-86 113.13. 6-81 112.57.28-51 2-77 21 Moon's L. L. 80. 54. 26-80 29-92 46-5 5. 50-90 58. 9-68 57. 18-10 1-08 118. 34.31-72 118.18.37-44 2-72 23 Moon's II. L. . . 78.28. 4-50 30-10 37-5 4. 46-60 58. 54-97 57.35-12 1-01 116. 6.47-80 116. 22. 54-50 2-68 25 Moon's U. L. 69. 35. 35-80 29-84 46-5 2. 35-68 59. 24-58 55. 30-84 0-61 107. 14. 11-49 107. 30. 26-31 2-63 May 6 Moon's L. L. 24.21.13-80 30-11 56-5 0. 26-13 55. 10-99 22. 33-12 + 1-08 62. 30. 32-09 62. 15.26-79 2-40 7 Moon's ILL. .. 26. 3. 5-50 29-99 53-5 0.28-28 54. 42-2-2 23. 49-28 + 0-99 64. 11. 9-94 64.26. 7-35 2-37 8 Moon's U. L. 29. 27. 26-50 29-80 62-5 0.31-88 54. 22-65 26. 32-33 + 0-82 67.3-2.51-84 67. 47. 43-89 2-35 9 Moon's U. L. . . 33. 48. 12-00 29-85 60-5 0. 38-00 54. 13-87 29.58-19 + 0-63 71.50.18-08 72. 5. 7-72 2-33 10 Moon's U. L. 38. 51. 26-70 30-04 52-5 0.-46-76 54. 16-04 33. 50-85 + 0-50 76. 49. 49-55 77. 4.39-79 2-31 11 Moon's U. L. 44. 25. 35-50 29-93 57-5 0. 56-09 54. 28-96 37. 56-53 + 0-27 8-2.20. 2-67 82. 34. 56-45 2-29 13 Moon's U. L. 56. 24. 12-50 29-90 41-5 1.28-78 55. 22-79 45. 56-79 0-19 94. 11. 13-62 94.26. 22-15 2-25 14 Moon's TJ. L. 62. 25. 50-40 29-95 40-5 1. 53-20 55. 59-82 49. 27-93 0-37 100. 9.45-61 100.25. 4-30 2-21 16 Moon's L. L. 73. 45. 48-40 29-87 36-5 3. 22-25 57.21-46 54. 55-42 0-77 111.25.46-58 111.10. 5-51 2-18 17 Moon's L. L. 77.47.48-10 29-87 34-5 4. 30-75 57. 69-99 56.33-14 0-95 115. 27.17-49 115. 11. 25-86 2-15 20 Moon's TJ. L. 79. 6.34-80 29-92 41-5 4.58-35 59. 15-45 58. 2-99 - 1-03 116.45. 2-06 117. 1. 14-38 2-08 21 Moon's U. L. 75. 51. 50-00 29-97 53-5 3. 45-44 59. 23-71 57. -26-76 - 0-89 113.29.40-23 113. 45. 54-82 2-06 22 Moon's U. L. 71. 3. 12-20 29-96 53-5 2. 46-71 59. 24-49 56. 1-55 0-68 108.41.28-37 108. 57. 43 16 2-05 23 Moon's TJ. L. 65. 7. 8-90 29-99 56-5 2. 3-32 59. 18-69 53. 37-72 0-50 102.47. 4-74 103. 3. 17-95 2-02 25 Moon's TJ. L. 51.34.51-50 29-83 63-5 1. 10-99 68. 52-34 45. 55-41 + 0-02 89.21.35-61 89.37.41-59 1-99 26 Moon's TJ. L. 44. 43. 59-80 29-90 64-5 0. 55-84 58. 32"23 40. 59-35 + 0-27 82. 35. 23-95 82.51.24-43 1-97 27 Moon's (J. L. . . 38. 18. 10-20 29-80 66-5 0. 44-21 58. 7-93 35. 49-05 + 0-52 76. 14.32-22 76. 30. 26-02 1-95 June 11 Moon's U. L.(") 65.47. 6'70 29-69 56-5 2. 5-86 56. 14-13 51. 7-22 0-53 103. 29. 35-67 103.44. 58-28 1-77 12 Moon's TJ. L. 71. 7.46-00 29-82 55-5 2. 45-95 57. 2-35 53. 48-98 0-68 108. 48. 13-99 109. 3.49-81 1 75 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p= 38. 31'. 28" -62: q = 9" '57. () Observed Z.D. decreased 1 revolution of Micrometer. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTA: (205) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2328'. 1802. June 13 Moon's TJ. L. o / 75. 38. 51-30 In. 29-92 o 55-5 / a 3. 40-74 / u 57. 52-47 * // 55. 55-24 It 0-88 Q 1 II 113.18. 8-33 O ' il 113. 33. 57-89 II 1-75 10 Moon's L. L. 80. 20. 5-2-40 29'97 60-5 5. 22-53 59. 50-37 58. 51-47 - 1-07 117. 58. 55-50 117.42.33-61 1-72 17 Moon's TJ. L. 77. 9. 17-20 30-06 49-5 4. 10-91 GO. 6-38 58. 27-22 0-95 114.46.32-57 115. 2.58-85 1-71 18 Moon's U. L. 72. 42. 30-80 30-06 49-5 3. 5-60 GO. 8-19 57. 15-49 0-74 110. 19.58-12 110. 36.24-89 1-70 21 Moon's U. L. 53. 25. 41-10 30-11 53-5 1. 18-13 59. 9-00 47. 18-23 0-07 91. 11. 9-75 91. 27. 20-30 1-70 22 Moon's U. L. 40.31.48-10 29-87 59-5 0. 59-98 58. 37-47 42. 20-27 + 0-25 84.21.55-74 84. 37. 57-65 1-70 23 Moon's TJ. L. 40. 0. 23-90 29-94 56-5 0.48-15 58. 4-01 37. 7-07 + 0-45 77. 55. 32-05 78.11.24-78 1-70 July 4 Moon's TJ. L. . . 40. 20. 15-90 29-92 64-5 0. 48-08 54. 3-95 34. 52"25 + 0-42 78. 23. 38-84 78. 38. 25-77 1-72 12 Moon's TJ. L. 79.58. 2-90 29-93 52-5 5. 15-75 58. 59-99 57. 57-60 1-08 117. 36. 53-03 117.53. 1-11 1-77 14 Moon's L. L. 79. 12. 30-00 30-06 47-5 4. 58-82 60.28-41 59. 15-90 1-01 116.49.45-45 116.33.13-13 1-79 17 Moon's U. L. 62. 53. 14-90 29-66 53-5 1.51-26 60. 38-91 53. 47-82 0-39 100. 32. 48-32 100. 49. 23-52 1-82 21 Moon's U. L. 35. 39. 23-80 29-54 54-5 0. 40-78 57. 57-40 33. 34-25 + 0-54 73. 37. 56-79 73. 53. 47-73 1-88 23 Moon's U. L. 20. 32. 39-80 30-00 58-5 0. 28-62 56. 30-60 25. 2-60 + 0-95 64. 39. 31-29 64. 54. 58-42 1-90 24 Moon's TJ. L. 24. 3.41-40 29-98 60-5 0. 25-46 55. 53-63 22. 34-88 + 1-06 62. 12. 57'20 62. 28. 14-20 1-92 Aug. 5 Moon's U. L. . . 07. 0. 18-40 29-92 77-5 2. 9-42 55.21-30 50. 49-96 0-54 104.49. 8-39 105. 4.16-54 2-08 7 Moon's TJ. L. 76. 16.21-00 29-87 68-5 3. 44-42 56. 57-68 55.11-42 0-90 113.56.26-20 114.12. 0-75 2-12 8 Moon's TJ. L. 79. 13.37-50 29-87 69-5 4. 44'08 57. 55-74 50.40-21 1-03 116.53. 7-29 117. 8.57-75 2-13 9 Moon's L. L. 81. 4.42-70 29-73 70-5 5. 37-43 58. 56-04 53. 5-41 1-10 118.43.46-84 118.27.39-84 2-14 10 Moon's L. L. 80. 25. 32-30 29-69 64-5 5.19-34 59. 52-74 58. 54-61 1-07 119. 3.29-08 117.47. 6-54 2-16 11 Moon's L. L. (") 77. 39. 30-90 29-87 02-5 4. 12-50 60. 39-69 59. 6-91 115. 16. 14-20 114.59.38-79 2-17 12 Moon's L. L. 72. 58. 52-30 30-13 56-5 3. 0-41 61. 10-72 58. 20-44 - 0-72 1 10. 35. 9-53 110.18.25-62 2-20 13 Moon's L. L. 66.47.40-10 30-20 56-5 2. 14-23 01.21-90 56. 13-49 0-54 104. 25. 17-30 104. 8.30-32 2-20 14 Moon's TJ. L. 59. 8. 17-20 30-22 54-5 1.37-05 61.11-83 52.20-14 0-27 96.49. 3-00 97. 5.47-82 222 13 Moon's U. L. . . 51.41.41-90 29-99 58-5 1. 12-38 60. 42-60 47. 25-94 + 0-01 89. 26. 56-88 89. 43. 33-09 2-24 10 Moon's U. L. 44. 25. 1-00 30-04 61-5 0. 55-82 59. 58-38 41. 45-52 + 0-27 82. 15. 39-80 82.32. 3-89 2-25 17 Moon's TJ. L. 37. 44. 24-30 29-86 00 5 0. 43-94 59. 5-08 35. 50-83 + 0-54 75. 40. 38-20 75. 50. 47-68 2-27 19 Moon's U. L. .. 27.33. 0-90 29-80 60-5 0. -29-57 57. 13-42 20. 15-25 -I- 0-90 65. 38. 40-79 65. 54. 19-00 2-30 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 28" -62 : q = 9" "57. () Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 11" -35. This is not applied to form the numbers in the columns "Geocentric N.P. D. of Limb," "Geocentric N. P.D. of Center;" which, therefore, in this instance, represent the N. P. D of Limb anil Center at Transit of Center. (206) KEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter Ther- mo- meter Refrac- tion. Tabular Horizonta Equatorea Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. ; Tabular , Obliquity of Ecliptic. 23.28'. 1802. o / " in. / // / // / // 1 n O 1 if Aug. 20 Moon's U. L. 24. 33. 20-80 29-80 62-5 0. 25-80 56. 23-37 23. 13-45 + 1-04 62. 41. 58-42 62. 57. 23-57 2-32 22 Moon's L. L. 23. 52. 48-60 29-83 67-5 0. 24-77 55. 4-77 22. 5-63 + 1-09 62. 2.32-96 61.47.29-36 2-34 Sep. 4 Moon's U. L. 78. 18.48-90 29-47 67-5 4. 20-08 56. 46-66 55. 27-77 - 0-99 115.59.13-03 116.14.44-56 2-47 rf 1 Moon's L. L. 79. 16. 3-00 29-96 50-5 4. 57-52 59. 32-04 58. 21-35 1-02 116.54.11-10 116. 37.54-23 2-50 8 Moon's L. L. 75. 35. 34-20 29-84 48-5 3. 42-52 60.21-77 58. 18-90 0-86 113.12.29-35 112.55.58-86 2-50 10 Moon's L. L. 63. 35. 1-20 29-48 50-5 1. 54-65 61.19-47 54. 44-24 0-40 101. 13.41-65 100. 56. 55-34 2-51 11 Moon's L. L. ( a ) 56. 12. 32-00 29-76 45-5 1.26-99 61. 18-99 50. 45-53 0-04 93. 54. 33 35 93.37.47-17 2-51 Moon's U. L. (") 55.38.12-10 1.25-15 61. 18-96 50. 24-69 0-04 93.20.51-04 93.37.37-21 12 Moon's U. L. 48. 4.39-80 29-94 46-5 1. 5-17 60. 57-60 45. 8-62 + 0-18 85.52. 4-46 86. 8.44-78 2-52 15 Moon's U. L. 29. 13. 36-00 30-15 52-5 0. 32-60 58.26-17 28.18-90 + 0-83 67. 17. 15-45 67. 33. 14-26 2-53 17 Moon's U. L. . 23. 27. 58-80 30-03 49-5 0. 25-36 56. 30-24 22. 17-47 + 1-08 61. 37.31-44 61. 52. 58-47 2-53 18 Moon's TJ. L. 23. 7.21-20 29-94 52-5 0. 24-71 55.41-67 21.39-90 + 1-10 61. 17.31-13 61.32.44-85 2-53 20 Moon's L. L. 27. 28. 46-00 29-96 51-5 0.30-18 54. 32-63 24. 57-98 + 0-94 65.35.43-81 65. 20. 49-02 2-52 22 Moon's L. L. 35.47.41-00 30-05 58-5 0.41-36 54. 1-33 31.23-90 + 0-56 73. 43. 24-97 73.33.38-76 2-51 Oct. 3 Moon's U. L. 80.32. 1-10 29-77 62-5 5. 24-96 57.31-31 56. 36-32 - 1-10 118.12.21-78 118.28. 5-55 2-43 5 Moon's L.Tj. . . 77. 14.30-60 30-10 51-5 4. 11-90 59. 3-36 57. 27-39 0-93 114.52.46-83 1 14. 36. 37-83 2-41 9 Moon's L. L. 52. 36. 25-90 29-52 48-5 1.15-82 60. 52-25 48. 9-41 o-oo 90. 21. 0-99 90. 4.22-14 2-36 10 Moon's U. L. 44. 38. 41-40 30-02 43-5 0. 58-33 60. 40-75 42. 25-38 + 0-27 82.28.41-99 82. 45. 17-69 2-34 11 Moon's U. L. 37.43. 5-90 29 '70 50-5 0. 44-56 60. 11-50 36. 36-16 + 0-54 75.38.41-10 75. 55. 8-78 2-33 12 Moon's U. L. 31.45.31-50 29-66 48-5 0. 35-77 59. 27-73 31. 4-59 + 0-72 69.46.28-71 70. 2.44-39 2-31 13 Moon's U. L. 27.10.57-10 30-28 42-5 0. 30-68 58. 34-10 26. 32-28 + 0-92 65.16.21-04 65. 32. 22-03 2-29 14 Moon's U. L. 24. 17. 3-10 30-29 38-5 0.27-19 57. 36-56 23.28-74 + 1-05 6-2. 25. 26-79 62.41. 12-00 2-28 15 Moon's U. L. . . 23. 11. 14-40 30-10 38-5 0. 25-65 56. 40-35 22. 6-27 + 1-10 61.20. 58-91 61.36.28-71 2-26 16 Moon's U. L. . . 23. 49. 24-70 29-82 34-5 0. 26-41 55. 49-90 22.20-71 + 1-08 61.58.55-60 62. 14. 11-59 2-24 17 Moon's L. L. 26.29. 5-50 29-56 44-5 0. 28-94 55. 8-21 24. 23-09 + 0-98 64. 36. 36-85 64. 21. 32-32 2-23 18 VToon's L. L. . . 29.51.26-30 29-47 54-5 0. 32-56 54. 36-87 26. 59-23 + 0-82 67. 56. 25-48 67. 41. 29-53 2-20 19 VIoon's L. L. 34. 10. 15-00 29-48 47-5 0. 39-07 54. 16-17 30. 16-88 + 0-63 72.12. 3-51 71.57.13-23 2-18 20 Moon's L. L. 39. 10. 33-60 29-77 49-5 0. 47-15 54. 6-03 33. 58-76 + 0-50 77. 8.48-98 76. 54. 1-49 2-16 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing; the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N.P. D. is formed by adding Olufsen's 90 p and q cos. N. P.D. to the corrected Quadrant Reading. 90 - p = 38. 31 '.28'' -62 : q = 9" "57. ( a ) Observed 31 s before Transit of Center. Correction applied for distance of Center from middle wire, 9"'34. The correction for defective illumination is insensible. ( b ) Observed 31 s after Transit of Center. Correction applied for distance of Center from middle wire, + 9" '34. (" b ) Increase of N. P. D. during passage of Semidiamcter = 20" '90. This is not applied to either of these observations to form the numbers in the columns " Geocentric N. P. D. of Limb," " Geocentric N. P. D. of Center;" which, therefore, in these instances, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAU DISTANCE. (207) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equate real Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.D. of U. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.28'. 1802. ' // in. o / // / n / // H O 1 II o ' // Oct. 22 Moon's L. L. 50.26.26-10 29-85 53-5 1. 9-60 54. 13-67 41. 37-35 + 0-09 88. 17. 26-77 88. 2.37-17 2-12 Nov. 3 Moon's L. L. 68.57. 6-60 29-54 40-5 2. 30-95 59. 16-00 55. 8-88 0-54 106. 35. 59-48 106. 19. 47-01 1-85 . 1808. Apr. 9 Moon's U. L. / a 57. 37. 23-40 in. 30-15 o 42-5 / H 1. 33-57 / // 61.14-26 ' H 51.31-13 0-22 o / // 95. 18. 55-48 , Q t II 95. 35. 40-36 II 46-11 12 Moon's L. L. 71. 1.27-60 30-15 39-5 2. 52-53 60. 46-59 57. 18-65 0-63 108. 38. 32-68 108. 21. 55-38 46-05 13 Moon's L. L. 72. 50. 33-30 30-11 41-5 3. 10-56 60. 0-81 57. 11-20 - 0-72 110.28. 4-02 110.11.39-27 46-03 15 Moon's L. L. 72. 6.59-30 29-95 36-5 3. 3-48 58. 5-95 55. 8-35 0-67 109. 46. 25-75 109. 30. 32-48 45-98 16 Moon's U. L. 69. 23. 31-50 30-07 32-5 2. 39-87 57. 8-47 53. 19-44 0-58 107. 4.22-95 107.20. 0-46 45-96 17 Moon's U. L. . . 66. 18. 50-60 29-94 33-5 2. 16-45 56. 16-66 51. 22-28 0-54 104. 1. 15-39 104. 16. 38-70 45-93 19 Moon's U. L. . . 58.31.10-10 29-48 40-5 1.35-11 54. 56 64 46. 40-78 , 0-27 96. 17. 34-17 96. 32. 35-54 45-88 May 5 Moon's U. L. 49. 40. 17-60 29-66 60-5 1. 6-36 59. 27-63 45. 7-36 + 0-13 87. 27. 45-41 87.44. 1-07 45-47 6 Moon's U. L. 54. 58. 36-20 29-62 58-5 I. 20-53 60. 14-29 49. 7-73 0-09 92. 42. 18-38 92. 58. 46-83 45-44 7 Moon's U. L. 60. 13. 16-70 29-45 56-5 1. 38-34 60. 50-06 52. 36-47 0-27 97. 53. 48-55 98. 10. 26-80 45-42 9 Moon's U. L. 68. 53. 22-50 29-63 46-5 2. 29-05 61. 9-47 56. 52-77 0-54 106.30.29-76 106. 47. 13-33 45-36 10 Moon's L. L. 72. 3.46-80 29-75 48-5 2.57-17 60.49-15 57.42-14 0-67 109. 40. 33-13 109.23.55-13 45-33 14 Moon's U. L. 67. 37. 14-4a 30-08 56-5 2.19-12 57. 22-79 52. 53-51 0-54 105. 18. 10-81 105. 33. 52-24 45-22 18 Moon's U. L. 51.17.42-10 30-13 51-5 1. 12-72 54. 30-49 42. 20-98 + 0-04 89. 8. 2-81 89. 22. 57-01 46-11 30 Moon's U. L. 38. 53. 35-90 30-05 74-5 0. 44-83 57. 4-58 35. 37-63 + 0-49 76.50. 8-14 77. 5.44-58 44'85 June 1 Moon's U. L. . . 47. 49. 25-00 29-81 61-5 1. 2-38 58. 23-93 43. 4-35 + 0-18 85. 38. 49-07 85. 54. 47-27 44-81 2 Moon's U. L. 52. 54. 13-80 29-90 59-5 1. 15-22 59. 4-04 46. 54-78 o-oo 90.40, 0-86 90. 56. 10-05 44-79 4 Moon's U. L. 62. 54. 32-20 29-51 55-5 1. 50-35 60. 10-56 53. 23-29 0-36 100.34.27-01 100. 50. 54-43 44-76 5 Moon's U. L. . . 67. 8.39-90 29-63 54-5 2. 14-46 60. 29-12 55. 33-59 0-54 104. 46. 48-96 105. 3.21-47 44-74 7 Moon's U. L. 72. 14. 57-90 29-77 52-5 2. 57-76 60. 20-37 57. 18-24 0-72 109.52. 6-16 110. 8.36-28 44-69 12 Moon's U. L. 61.51. 6-10 30-07 50-5 1.48-65 56.33-19 49. 41-30 0-36 99.34.41-05 99. 50. 8-89 44-6-2 13 Moon's U. L. 57. 31. 53-60 30-00 56-5 1.30-15 55.45-72 46. 51-82 0-22 95. 17. 59-03 95. 33. 13-85 44-62 14 Moon's U. L. 53. 4.51-60 29-79 56-5 1. 15-88 55. 6-16 43. 52-00 o-oo 90. 53. 42-14 91. 8.46-12 44-60 15 Moon's U. L. 48. 40. 25-50 30-00 53-5 1. 5-73 54. 36-22 40. 48-85 + 0-18 86.32. 8-56 86.47. 4-33 44-59 29 Moon's U. L. 51.12. 5-70 30-07 71-5 1. 9-49 58. 33-07 45, 25-83 + 0-09 88. 59. 13-28 89. 15. 13-98 44-48 30 Moon's U. L. 56. 16. 27-50 30-15 66-5 1.24-67 58. 58-02 48. 50-90 0-18 94. 0.25-67 94.16.33-21 44-49 July 1 Moon's U. L. 61. 9.44-20 30-04 64-5 1. 42-55 59. 19-46 51. 46-85 0-31 98.51. 4-90 99. 7. 18-32 44-49 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 a -p = 38.31'.29"-06: q=8"'65. From 1808, May 30, 90-p =38. 31'. 26" "52 : q = 8"-65. From 1808, June 29, 90-p = 38.31'. 23"'98 : q=8-'-65. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (231) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. of U. L. or L. L. , at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1808. o / // in. o / // / // / // it O 1 II O ' // July 2 Moon's U. L. 65. 33. 7-60 29-95 61-5 2. 4-35 59. 35-66 54. 4-39 0-49 103. 12. 33-03 103. 28. 50-89 44-49 4 Moon's U. L. 71.32.31-10 29-85 58-5 2. 48-99 59. 43-93 56. 29-75 0-67 109. 10. 16-49 109. 26. 36-61 44-48 5 Moon's U. L. 72. 36. 10-00 29-98 56-5 3. 1-29 59. 32-27 56. 39-26 0-72 110. 13. 58-28 110.30.15-21 44-49 7 Moon's U. L. () 70. 27. 50-50 30-02 60-5 2. 39-41 58. 35-89 55. 3-71 108. 6.52-87 108. 22. 54-35 44-49 11 Moon's ILL. .. 55. 10. 33-90 30-08 61-5 1.21-89 55.42-16 45. 32-46 0-13 92. 57. 47-63 93.13. 1-48 44-50 12 Moon's U. L. 50. 40. 31-80 29-96 67-5 1. 8-49 55. 6-00 42. 25-98 + 0-09 88.30.38-16 88. 45. 42-09 44-51 13 Moon's U. L. 46. 19. 8-70 29-91 69-5 '0. 58-45 54. 38-20 39.19-12 1 + 0-27 84. 12. 11-41 84.27. 7-72 44-51 14 Moon's U. L. 42. 15. 24-90 29-95 67-5 0. 51-01 54. 20-28 36. 20-58 + 0-36 80.11. 18-20 80.26. 9-60 44-51 15 Moon's U. L. 38. 37. 35-00 29-89 67-5 0. 44-78 54. 13-13 33.38-78 + 0-54 76.36. 3-51 76. 50. 52-95 44-52 17 Moon's U. L. 33. 12. 30-90 30-03 70-5 0. 36-65 54. 31-39 29. 39-54 + 0-67 71.14.49-88 71.29.44-33 44-53 29 Moon's U. L. 64. 5.39-20 29-60 73-5 1. 52-40 59. 19-43 63. 10-91 0-40 101.45.46-04 102. 1.59-45 44-64 Aug. 1 Moon's U. L. . . 72. 13. 25-60 29-54 65-5 2. 51-52 58. 59-80 56. 1-19 - 0-72 109.51.42-13 110. 7.50-16 44-67 2 Moon's U. L. 72. 24. 20-80 29-89 63-5 2.56-13 58.41-59 55. 47-35 0-72 110. 2.55-81 110. 18. 58-85 44-69 4 Moon's U. L. 68. 53. 59-80 29-90 61-5 2. 25-94 57. 48-03 53. 45-03 0-54 106.34. 6-02 106. 49. 54-37 44-71 5 Moon's U. L. 65.36.10-10 29-72 63-5 2. 3-18 57. 14-01 51.57-11 0-49 103. 17. 41-65 103. 33. 20-68 44-72 6 Moon's U. L. 61.37.45-10 29-71 59-5 1. 44-43 56. 37-43 49. 38-73 0-31 09. 21. 15-88 99.36.44-88 44-74 7 Moon's U. L. 57. 16. 7-00 29-80 60-5 1. 27-94 56. 0-49 46. 55-89 - 0-22 95. 2. 3-57 95. 17. 22-45 44-75 8 Moon's U. L. 52. 45. 44-30 29-63 595 1.14-16 55. 25-60 43. 56-29 o-oo 90. 34. 26-24 90. 49. 35-55 44-76 11 Moon's U. L. 40. 16. 26-00 29-67 54-5 0. 48-37 54. 16-78 34. 63-43 + 0-45 78. 13. 43-61 78. 28. 34-05 44-79 28 Moon's IT. L. . . 71.39.53-50 29-67 62-5 2.47-80 59. 0-54 55.51-12 - 0-67 109. 18. 16-35 109. 34. 24-58 44-97 31 Moon's L. L. 70. 11. 30-00 29-44 59-5 2. 34-69 57. 32 51 53. 58-80 0-63 107.51.31-89 107. 35. 47-79 44-99 Sep. 2 Moon's L. L. 63. 39. 14-80 29-73 55-5 1.. 34-80 56. 29-30 50.27-11 0-40 101.22. 7-78 101. 6.41-01 45-00 4 Moon's U. L. (") 54. 36. 20-50 29-75 54-5 1. 20-44 55. 27-97 45. 1-75 92.24. 3-53 92. 39. 13-48 45-02 6 Moon's U. L. 45. 52. 33-70 29-63 54-5 0. 58-75 54. 36-97 39. 0-64 + 0-27 83.45.55-12 84. 0.51-10 45-02 8 Moon's U. L. 38. 23. 47-20 29-32 51-5 0. 44-99 54. 7-74 33. 25-23 + 0-54 76. 22. 29-44 76. 37. 17-41 45-03 9 Moon's U. L. 35. 29. 44-70 29-20 53-5 0.40-16 54. 5-25 31.12-31 + 0-58 73. 30. 34-65 73. 45. 21-94 45-03 24 Moon's U. L. 70. 56. 56-90 29-87 51-5 2. 45 93 59. 53-29 56. 26-58 - 0-63 108. 34. 42-36 108.51. 5-05 44-98 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passHgc of the Limb which was obsprved with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 3 1'. 23" -98: q = 8" -5. (") Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 6"'72. This is not applied to form the numbers in the columns "Geocentric N.P. D. of Limb," " Geocentric N.P. D. of Center;" which, therefore, in this instance. represent the N. P. D. of Limb and Center at Transit of Center. ( b ) Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = 11" -21. This is not applied to form the numbers in the columns " Geocentric N.P.D. of Limb," " Geocentric N. P. D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. (232) EEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity (it Ecliptic. 23. 27'. 1808. Sep. 25 Moon's U. L. o / /' 72. 0.42-20 in. 30-00 o 57-5 i tt 2. 54-85 / // 59. 13-99 / // 56. 10-63 - 0-72 O / " 109. 38. 52-59 Q 1 II 109.55. 4-51 // 44-97 26 Moon's U. L. 71.42.30-60 29-89 56-5 2.51-53 58. 30-58 55. 23-62 0-72 109. 21. 24-64 109. 37. 24-66 44-96 30 Moon's L. L. 60.48.19-80 29-57 45-5 1.43-41 55. 53-30 48. 36-94 0-27 98.32.51-27 98. 17. 34-36 44-91 Oct. 1 Moon's L. L. 56. 33. 48-00 29-78 41-5 1. 28-90 55. 23-14 46. 2-39 0-18 94. 20. 39-03 94. 5.30-40 44-89 3 Moon's L. L. 47. 54. 19-20 30-05 45-5 1. 5-15 54. 35-09 40. 18-87 + 0-22 85. 46. 29-04 85.31.33-58 44-87 4 Moon's U. L. 43. 20. 31-00 30-11 46-5 0. 55-56 54. 17-59 37. 4-12 + 0-31 81. 15.45-42 81.30.36-08 44-85 5 Moon's U. L. 39.41. 7-40 29-97 47-5 0. 48-54 54. 5-31 34. 20-50 +- 0-45 77. 38. 58-02 77. 53. 45-32 44-84 8 Moon's U. L. 32. 32. 39-00 29-53 41-5 0. 37-25 54. 6-90 28. 54-61 + 0-72 70. 35. 43-47 70. 50. 31-20 44-79 10 Moon's L. L. 32.36.20-10 29-90 40-5 0. 37-89 54. 51-16 29.21-31 + 0-72 70. 38. 58-51 70. 23. 58-64 44-76 11 Moon's L. L. 33.52.11-20 29-78 43-5 0. 39-35 55. 27-97 30. 42-46 + 0-67 71. 53. 30-05 71.38.20-10 44-73 12 Moon's L. L. 36. 7. 13-20 29-90 36-5 0. 43-58 56. 14-33 32. 56-76 + 0-54 74. 6.22-17 73. 50. 59-50 44-71 26 Moon's L. L. 65. 45. 48-50 29-20 45-5 2. 6-49 57. 1-67 51.50-11 0-49 103. 27. 30-38 103.11.54-74 44-41 27 Moon's L. L. 61.53.27-50 29-34 42-5 1.48-34 56. 14-69 49. 28-66 0-31 99. 42. 12-31 99. 26. 49-54 44-38 28 Moon's L. L. 57. 49. 30-40 29-48 44-5 1.31-82 65. 34-64 46.51-86 0-22 95. 35. 34-96 95.20.23-17 44-35 29 Moon's L. L. 53.31. 6-90 29-71 42-5 1.19-13 55. 1-95 44. 3-94 0-04 91.19.46-23 91. 4.43-40 44-32 30 Moon's L. L. 49.13.51-00 30-11 44-5 1. 8-52 54. 36-25 41. 10-00 + 0-13 87. 5.13-19 86. 60. 17-41 44-30 Nov. 5 Moon's L. L. 32.30. 2-50 29-80 31-5 0. 38-32 54. 9-46 28. 53-99 + 0-72 70. 33. 8-65 70.18.20-21 44-14 G Moon's L. L. 32. 26. 27-00 29-63 38-5 0. 37-46 54. 26-53 29. 0-20 + 0-72 70. 29. 26-07 70. 14. 32-95 44-11 9 Moon's L. L. 38. 1. 19-70 29-61 44-5 0. 45-47 56. 4-26 34. 20-02 + 0-54 75.59. 7-58 75. 43. 47-67 44-03 11 Moon's L. L. 45. 51. 26-60 29-92 38-5 1. 1-28 57. 47-06 41.15-81 + 0-27 83. 42. 35-37 83. 26. 47-29 43-96 13 Moon's L. L. 55. 37. 25-70 30-00 31-5 1. 28-35 59.41-34 49. 4-17 0-13 93.21. 14-24 93. 4.54-83 4391 22 Moon's L. L. 67. 10. 10-40 30-11 45-5 2. 19-36 58. 15-70 53. 31-88 0-54 104.50.24-14 104. 34. 27-60 43-70 27 Moon's L. L. 46. 27. 47-50 29-52 40-5 1. 1-49 54. 29-55 39. 18-74 + 0-27 84. 20. 53-65 84. 5.59-70 43-58 28 Moon's L. L. 42. 33. 57-20 29-71 34-5 0. 54-71 64. 10-79 36. 27-33 + 0-36 80. 29. 47-49 80. 14. 58-69 43-56 30 Moon's L. L. 36. 12. 53-50 29-22 39-5 0. 42-47 53. 57-34 31.40-81 + 0-64 74.13.17-33 73. 58. 32-21 43-52 Dec. 2 Moon's L. L. 32. 42. 32-10 29-30 41-5 0. 37-20 54. 9-85 29. 4-12 + 0-72 70. 45. 27-03 70. 30. 38-49 43'46 4 Moon's L. L. 32. 54. 19-90 30-18 35-5 0. 39-09 54. 43-45 29. 31-66 + 0-72 70. 56. 49-21 70. 41. 51-45 43-43 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olnfsen's 90 p and q cos. N. P.O. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" -98: q = 8" '65. SECT. II. INVESTIGATION OF MOON'S NORTH POLAII DISTANCE. (233) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Hori/.ontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.D. of U. L. or L. L. , at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1808. O 1 It in. ? ~~~ o / // / // / ;/ * / II ' n Dec. G Moon's L. L. 36. 58. 5-80 29-67 42-5 0. 44-04 55. 36-26 33.14-14 + 0-54 74. 56. 57-97 74.41.45-73 43-39 7 Moon's L. L. 40. 16. 14-20 29-78 36-5 0. 50-38 56. 10-24 36. 6-36 + 0-45 78. 12. 20-88 77. 56. 59-33 43-38 9 Moon's L. L. 48. 42. 48-30 29-90 33-5 1. 8-381 57.33-19 43. 2-89 + 0-18 86. 32. 17-43 86. 16. 33-14 43-34 10 Moon's L. L. 53. 29. 43-00 30-11 34-5 1. 21-47 58. 20-34 46. 41-96 0-04 91.15.46-64 90. 59. 49-43 43-34 1809. Jan. 7 Moon's L. L. 56. 34. 47-10 29-02 38-5 1. 27-28 58. 16-28 48. 26-84 0-18 94. 19. 11-99 94. 3. 15-89 43-20 g Moon's L. L. . . 61.12.37-90 29-29 36-5 1.46-11 53. 48-33 51. 21-34 0-27 98.54.27-72 98. 38. 22-83 43-21 10 Moon's L. L. 68.53. 9-90 29-24 36-5 2. 30-17 59. 43-61 55. 33-07 0-54 106. 31. 32-90 106. 15. 12-87 43-21 20 Moon's L. L. 32.44. 11-50 29-20 43-5 0. 36-96 54. 23-69 29. 12-87 + 0-72 70. 46. 57-44 70. 32. 5-10 43-39 28 Moon's L. L. . . 33. 15. 34-60 29-28 46-5 0. 37-57 55.11-92 30. 4-15 + 0-67 71.17.29-90 71. 2.24-34 43-41 29 Moon's L. L. 35. 1.17-70 29-16 44-5 0.40-14 55. 44-45 31. 47-04 + 0-63 73. 1. 32-88 72. 46. 18-40 43-44 31 Moon's L. L. 41.16.32-00 29-85 39-5 0.51-99 56. 54-63 37. 20-29 + 0-40 79.11.26-46 78. 55. 52-74 43-45 Feb. 3 Moon's L. L. . . 54. 54. 19-40 29-33 42-5 1.22-18 58. 22-61 47. 34-32 0-09 92. 39. 31-55 92. 23. 33-72 43-49 19 Moon's L. L. 40.20. 2-30 30-31 49-5 0. 50-02 54. 40-70 35.11-56 + 0-45 78. 17. 3-43 78. 2. 6-43 43-69 22 Moon's L. L. 33. 22. 27-00 30-13 39-5 0. 39-40 54. 15-03 29. 38-62 + 0-67 71.24.4967 71. 9.59-71 43-72 26 Moon's L. L. 36.32. 1-60 30-29 40-5 0. 44-45 56. 5-94 33. 11-43 + 0-54 74. 30. 56-83 74. 15. 36-46 43-76 27 Moon's U. L. 39. 8.58-10 30-25 39-5 0. 48-87 56. 50-07 35. 40-47 + 0-49 77. 5.29-04 77.21. 1-51 43-77 28 Moon's U. L. 43. 3. 3-10 30-18 42-5 0. 55-59 57. 35-01 39. 6-11 + 0-31 80. 56. 15-51 81.12. 0-29 43-78 Mar. 8 Moon's L. L. 72. 1. 34-20 30-24 34-5 3. 5-06 59. 2-46 56. 0-25 0-67 109.40. 5-23 109. 23. 56-47 43-81 25 Moon's U. L. 35. 3. 53-00 29-18 43-5 0. 40-31 55. 26-70 31.38-87 + 0-58 73. 4. 16-48 73. 19. 26-09 43-74 26 Moon's ILL. .. 37.43.30-40 29-08 43-5 0. 44-27 56.11-16 34. 10-33 + 0-54 75.41.26-72 75. 56. 48-52 43-73 27 Moon's U. L. 41. 1-2. 0-30 29-26 44-5 0. 50-30 57. 2-15 37. 21-70 + 0-40 79. 6.51-65 79. 22. 27-43 43-72 II 29 Moon's ILL. .. 50. 0.55-50 29'72 37-5 1. 10-56 58. 48-07 44.51-06 + 0-09 87. 48. 38-74 88. 4.43-56 43-71 Apr. 1 Moon's L. L. 64.41.1860 29-65 39-5 2. 3-86 60. 26-08 54. 27-27 0-45 102.20.20-57 102. S.48'90 43-65 2 Moon's L, L. 68. 15. 56-90 29-75 30-5 2. 29-97 60. 28-60 56. 0-50 0-54 105.53.52-18 105. 37. 19-81 43-64 3 Moon's L. L. 70.4-2.46-10 29-85 27-5 2.52-16 60. 15-74 56. 43-08 0-63 108.20.21-25 108. 3.52-40 43-62 4 Moon's L. L. 71. 49. 49-00 30-12 26-5 3. 5-40 59. 50-34 56. 41-84 0-67 109.27.38-75 109.11.16-87 43-60 5 Moon's U. L. . . 71. 1.52-10 30-19 28-5 2. 56-84 59. 16-58 55. 53-70 0-63 108.40.21-36 108. 56. 33-99 43-59 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding; to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" "98: q = 8" '65. GREENWICH LUNAR REDUCTIONS. 2(H) (234) REDUCTION OF GREENWICH LUNAR OBSERVATIONS Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. ofU. L.orL.L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1809. Apr. 22 Moon's U. L. o / " 36. 34. 22-60 in. 29-65 o 46-5 / // 0. 43-03 / // 55. 20-61 / // 32. 46-33 a + 0-54 O f II 74. 33. 41-52 o / // 74. 48. 49-46 43-26 25 Moon's U. L. 47.43.33-10 30-02 45-5 1. 4-68 57. 54-97 42. 39-03 + 0-18 85. 33. 22-24 85. 49. 12-50 43-18 May 1 Moon's L. L. 71.30.33-50 29-24 37-5 2. 52-60 60. 58-35 57. 39-73 0-67 109. 7. 12-51 108. 50. 31-98 43-03 2 Moon's U. L. 71.17.32-00 29-58 35-5 2. 53-20 60. 29-22 57. 7-55 - 0-67 108.54.43-76 109. 11. 16-29 43-00 7 Moon's U. L. 56.38.43-10 30-22 54-5 1.28-16 66. 28-39 46.59-12 0-18 94. 24. 36-61 94.40. 3-14 42-87 19 Moon's U. L. 35.37.27-10 29-50 71-5 0. 39-33 54. 45-46 31.41-49 + 0-54 73. 37. 47-02 73. 52. 45-50 42-60 21 Moon's U. L. 41.47.15-90 29-90 60-5 0. 50-79 55. 57-87 37. 5-67 -f 0-36 79. 42. 23-81 79.57.41-97 42-55 23 Moon's U. L. 50. 14. 35-40 30-13 58-5 1. 9-06 57.41-58 44. 9-15 + 0-09 88. 2.59-09 88. 18. 45-68 42-50 24 Moon's U. L. . . 54. 55. 45-40 30-02 57-5 1.21-64 58. 40-23 47. 49-35 - 0-09 92. 40. 41-98 92. 56. 44-65 42-49 25 Moon's U. L. 59. 36. 46-60 29-90 52-5 1. 38-25 59. 37-38 51. 14-52 0-27 97. 18. 35-14 97. 34. 53-47 42-46 27 Moon's U. L. 67.38. 9-30 29-53 54-5 2. 17-23 61. 4-48 56. 18-23 0-54 105. 15. 34-02 105. 32. 16-22 42-42 28 Moon's U. L. 70.11.53-80 29-50 53-5 2. 36-65 61. 22-65 57. 34-61 - 0-63 107.48.21-84 108. 5. 9-03 42-39 29 Moon's U. L. 71.21.11-80 29-45 49-5 2. 43-03 61. 19-51 57. 56-28 0-67 108. 57. 29-67 109.14.15-99 42-38 June 2 Moon's U. L. 62. 28. 12-50 29-84 45-5 1.51-80 58. 23-05 51. 35-57 0-36 100. 9.53-88 100.25.51-84 42-30 5 Moon's U. L. 49.30.31-50 29-50 57-5 1. 6-02 55. 44-94 42. 12-19 + 0-09 87. 20. 49-00 87.36. 3-62 42-26 18 Moon's U. L. 44. 14. 23-80 29-74 63-5 0. 54-71 56. 0-92 38. 52-72 + 0-27 82. 7.48-86 82.23. 7-86 42-11 19 Moon's U. L. 48. 27. 55-90 29-82 65-5 1. 3-31 56.43-10 42. 15-47 + 0-18 86.18. 7-34 86.33.37-89 42-10 23 Moon's U. L. 65.53.10-10 30-20 63-5 2. 6-82 60. 1-78 54. 36-78 0-49 103.32. 5-65 103. 48. 30-67 42-09 25 Moon's U. L. 70. 54. 12-50 30-35 49-5 2.48-87 61. 4-28 57. 32-54 - 0-63 108. 30. 54-93 108. 47. 37-07 42-07 26 Moon's U. L. 71.22.51-60 30-23 50-5 2. 52-39 61. 9-59 57. 47-50 0-67 108. 59. 22-62 109. 16. 6-22 42-08 30 Moon's U. L. 60. 20. 39-00 29-73 53-5 1. 40-38 58. 36-66 50. 44-87 0-27 S8. 2. 59-43 98.19. 1-12 42-06 July 20 Moon's U. L. 64. 16. 57-90 30-07 64-6 1. 57-21 58. 53-32 52.52-61 0-45 101. 57. 27-82 102. 13. 34-07 42-17 21 Moon's U. L. 67. 39. 15-40 30-07 62-0 2. 17-76 59. 31-22 54. 52-69 0-54 105.18. 6-19 105. 34. 22-83 42-19 23 Moon's U. L. 71. 13.20-40 29-77 60'5 2.44-86 60. 24-62 57. 1-73 0-67 108. 50. 29-63 109. 7. 0-91 42-21 28 Moon's U. L. . . 58.12.53-70 29-63 54-5 1.31-79 58. 32-42 41). 34-26 - 0-27 95. 56. 15-83 96. 12. 16-36 42-27 30 Moon's U. L. 49. 6.16-20 29-49 53-5 1. 5-60 56. 45-92 42. 42-66 + 0-18 86.56. 2-84 87. 11. 34-17 42 '30 Aug. 3 Moon's U.L. .. 35. 20. 10-30 29-32 54-5 0. 40-00 54.21-70 31.14-39 + 0-54 73. 20. 57-95 73. 35. 49-75 42-36 Tbe Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are tliose corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 1)0 p and q cos. N. P. D. to the corrected Quadrant Heading. 90 - p = 38. 31'. 23" -98 : q = Z" '65. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (235) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal F.quatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.D. ofU.L.orL.L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2;J27'. 1809. o / in. o / K / H / // a o / // o > n // Aug. 4 Moon's U. L. 33. 35. 29-40 29-65 57-5 0. 37-67 54. 10-76 29. 46-46 + 0-63 71.37.42-49 71. 52. 31-29 42-38 n Moon's U. L. 66.27. 0-90 29-73 72-5 2. 5-90 58. 49-88 53. 45-46 0-54 104. 6.46-89 104. 22. 52-20 42-55 19 Moon's U. L. 70. 44. 32-60 29-70 61-5 2. 39-82 59. 29-57 55. 59-93 0-63 108.22.36-11 108. 38. 52-31 42-57 20 Moon's U. L. 71. 3.23-70 29-85 59-5 2.44-11 59. 40-65 56. 16-85 0-63 108.41.17-08 108.57.36-31 42-59 21 Moon's L. L. 70. 34. 46-40 29-72 56-5 2.40-12 69. 42-92 56. 9-35 0-63 108. 12. 43-22 107. 56. 23-37 42-60 22 Moon's L. L. 68. 18. 10-80 29-63 54-5 2. 22-32 59. 34-49 55. 11-19 0-54 105. 56. 47-75 105. 40. 30-21 42-61 23 Moon's L. L. 64. 59. 16-20 29-46 52-5 2. 1-42 59. 14-77 53. 30-93 0-45 102.39.12-11 102. 22. 59-98 42-62 24 Moon's U. L. 60. 23. 30-60 29-37 50-5 1. 39-97 58. 44-37 50. 53-00 0-27 98. 5.42-50 98.21.46-30 42-64 25 Moon's U. L. 55. 54. 59-90 29-54 52-5 1.24-19 58. 5-46 47. 55-18 0-18 93. 39. 53"26 93. 55. 46-39 42-65 26 Moon's U. L. 51. 20. 25-40 29-65 52-5 1.11-53 57.21-56 44. 35-59 + 0-04 89. 8.25-23 89.24. 6-33 42-66 29 Moon's U.L. .. 39.21.17-10 29-83 57-5 0. 46-79 55. 14 59 34.49-71 + 0-49 77. 18. 36-75 77. 33. 43-04 42-69 Sep. 2 Moon's U. L. 32.48. 2-10 29-51 59-5 0. 36-24 54. 16-14 29.11-80 + 0-72 70. 50. 48-40 71. 5.38-67 42-73 15 Moon's U. L. 70. 12. 25-90 29-96 62-5 2. 36-29 59. 15-67 55. 35-67 0-63 107. 50. 62-52 108. 7. 4-90 42-78 19 Moon's L. L. 66.13.20-30 29-68 51-5 2. 9-71 58.43-47 63. 34-18 0-49 103.53.21-40 103. 37. 17-84 42-77 20 Moon's L. L. 62.33. 0-70 29-23 54-5 1.47-87 58. 21-56 61. 36-69 0-36 100. 14. 37-04 99. 58. 39-49 42-76 23 Moon's U. L. 48. 53. 12-40 29-73 51-5 1. 5-89 56. 46-76 42. 34-79 + 0-18 86.43. 7-16 86. 58. 38-72 42-75 25 Moon's U. L. 40. 54. 50-80 29-75 42-5 0. 50-84 55. 34-90 36. 11-99 + 0-45 78. 50. 52-41 79. 6. 4-27 42-74 27 Moon's U. L. . . 35.19.38-80 29-60 41-5 0. 41-46 54. 37-75 31.23-23 + 0-58 73. 20. 19-11 73. 35. 15-30 42-73 28 Moon's U. L. 33.43. 7-70 29-78 38-5 0. 39-53 54. 20-28 29. 57-75 + 0-63 71.45.11-38 72. 0. 2-78 42-71 30 Moon's L. L. 33.38.44-10 29-95 47-5 0. 38-92 54. 15-42 29.51-69 + 0-67 71.40.53-26 71.26. 3-19 42-69 Oct. 15 Moon's L. L. 69. 39. 52-30 30-16 44-5 2. 38-59 59. 4-53 55. 13-90 0-58 107.18.42-96 107. 2.33-63 42-48 23 Moon's L. L. 39. 27. 57-20 29-83 47-5 0. 47-93 55. 8-01 34. 50-64 + 0-49 77. 25. 17-08 77. 10. 12-60 42-31 24 Moon's L. L. 36. 43. 48-20 29-77 55-5 0. 42-66 54.43-71 32.31-78 + 0-54 74.43.21-32 74. 28. 23-60 42-28 27 Moon's L. L. 33. 29. 2-60 30-17 47-5 0. 38-96 54. 5-70 29. 38-72 + 0-67 71.31.24-75 71.16.37-34 42-22 Nov. 15 Moon's L. L. . . 56. 48. 42-40 29-57 34-5 1.30-48 57. 15-92 47. 44-35 0-18 94. 33. 53-02 94. 18. 13-47 41-76 16 Moon's L. L. 52. 26. 51-70 29-64 27-5 1. 18-38 56. 36-33 44. 41-21 o-oo 90. 14. 52-89 89. 59. 24-19 41-73 17 Moon's L. L. 48.10. 9-00 29-45 34-5 1. 5-93 56. 1-14 41.32-79 + 0-22 86. 1. 5-74 85. 45. 46-63 41-72 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, arc those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" '98 : q = 8" '65. 2 (H) 2 (236) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1809. Nov. 18 19 o r n 44. 9.40-80 in. 29-86 30-34 o 33-5 28-5 / // 0. 58-26 0. 52-80 / // 55. 30-30 55. 3-63 / // 38. 28-35 35. 37-71 + 0-31 + 0-45 i a 82. 3.33-81 78.32. 11-90 o / n 81.48.23-22 78. 17. 8-62 n 41-69 41-67 Moon's L. L. 40.35.34-10 20 Moon's L. L. 37. 36. 58-40 30-16 33-5 0. 46-70 54.41-18 33. 10-77 + 0-54 75. 35. 56-70 75. 20. 59-57 41-65 21 Moon's L. L. 35.21.35-00 30-28 33-5 0.43-18 54. 23-00 31. 16-37 + 0-58 73. 22. 23-89 73. 7.31-74 41-62 24 Moon's L. L. 33. 43. 30-90 29-61 41-5 0. 39-07 53. 59-55 29.4671 + 0-63 71.45.45-16 71.30.59-44 41-56 26 Moon's L. L. 36. 58. 13-70 29-29 31-5 0. 44-50 54. 18-50 32. 27-76 + 0-54 74. 57. 52-72 74.43. 1-80 41-51 30 Moon's L. L. 51. 9.35-40 29-20 41-5 1. 11-60 50.46-18 44. 1-49 + 0-09 88. 58. 9-42 88. 42. 38-02 41-43 Dec. 1 Moon's L. L. 55. 35. 41-10 29-51 33-5 1.26-45 57. 43-40 47. 26-21 0-18 93.21. 5-65 93. 5.18-57 41-42 11 Moon's L. L. 62. 45. 29-60 29-38 38-5 1.53-07 69. 12-01 52. 27-29 0-36 100. 26. 20-57 100. 10. 9-19 41-28 12 Moon's L. L. 58. 29. 49-50 29-00 40-5 1. 33-48 58. 15-54 49. 29-23 0-27 96. 13. 18-39 95 57.22-50 41-27 13 Moon's L. L. 54 2.55-00 29-09 37-5 1. 19-82 57. 20-62 46. 13 83 0-09 91.49.25-16 91. 33. 44-32 41-26 14 Moon's L. L. 49. 39. 20-80 29-21 36-5 1. 8-62 56. 30-60 42. 52-57 + 0-09 87. 29. 0-54 87. 13. 33-41 41-24 15 Moon's L. L. 45. 30. 45-30 28-71 36-5 0. 58-34 55. 47-52 39. 36-32 + 0-27 83. 23. 30-57 83. 8. 15-24 41 23 17 Moon's L. L. 38. 35. 21-50 28-20 40-5 0. 44-57 54.44-13 33. 56-46 + 0-54 76.33.32-12 76. 18.34-18 41-22 21 Moon's L. L. 33. 26. 33-80 29-78 37-5 0. 39-20 63. 57-40 29. 32-22 + 0-63 71.29. 2-64 71.14.17-50 41-20 22 Moon's L. L. 34.20. 9-40 29-80 38-5 0. 40-49 54. 0-10 30. 15-65 + 0-63 72.21.56-23 72. 7.10-36 41-20 23 1810. Jan. 13 Moon's L. L. Moon's L. L. 36. 4. 490 39. 48. 54-90 29-79 29-82 32-5 29-5 0. 43-70 0. 50-38 54. 8-33 55. 12 12 31. 40-55 35. 8-83 + 0-54 + 0-45 74. 4.30-20 77. 45. 59-05 73. 49. 42-07 77. 30. 53-44 41-19 41-28 14 Moon's L. L. 37. 1.22-70 29-81 24-5 0. 46-06 54. 40-44 32. 43-30 + 0-54 75. 0.47-74 74.46. 0-81 41-30 15 Moon's L. L. 34.58.51-90 29-66 21-5 0. 42-79 54.18-21 30. 56-01 + 0-63 73. 0. 0-76 72.45. 9-92 41-30 16 Moon's L. L. 33. 45. 45-20 29-72 18-5 0.41-24 54. 4-96 29.51-47 + 0-63 7 i. 47. 56-88 71.33. 9-68 41 32 17 Moon's L. L. 33.25.10-70 29-96 24-5 0. 40-51 53.59-61 29. 32 36 + 0-63 71.27.40-71 71. 12.54-97 41-33 18 Moon's L. L. . . 33. 57. 53-80 30-11 24-5 0. 41-55 54. 1-29 29. 58-96 + 0-63 71.59.58-33 71.45.12-13 41-34 19 Moon's L. L. 35. 22. 26-40 30-10 19-5 0. 44-25 54. 9-20 31. 9-11 + 0-54 73. 23. 23-59 73. 8.35-23 41 -36 21 Moon's L. L. 40. 29. 39-80 29-84 27-5 0.51-85 54. 39-S2 35. 18-02 + 0-45 78. 26. 36-33 78.11.39-57 41-39 Feb. 13 Moon's L. L. 33.38.31-10 28-88 38-5 0. 38-23 54. 9-17 29. 48-07 + 0-63 71.40.43-15 71.25.54-80 41-74 15 Moon's L. L. 34.53. 15-10 29-83 31-5 0.41-98 54. 10-95 30. 47-51 + 0-63 72. 54. 31-64 72. 39. 42-79 41-77 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. I), is formed by adding Olnfsen's 90-p and q cos. N. P. D. to the corrected Quadrant Reading. v adding Olufsen's 90 3 p and q cos. N. P. 1). to the corrected Uuadrant Reading. i*0 - p = 38. 31 '.23" ; 98 : q = B"'65. GREENWICH LUNAR REDUCTIONS. 2(1) (242) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Correction for Curvature of Path. Geocentric N. P. D. of U. L. or L. L., "at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1811. o / " in. o / a / // / // // O ' " O 1 It Apr. 5 Moon's U. L. 45.44. 4-80 29-90 39-5 1. 0-85 54. 16-94 38. 40-76 + 0-27 83.37.48-18 83. 52. 38-66 41-11 9 Moon's U.L. .. 61. 13. 32-90 29-60 32-5 1.48-21 55. 52-46 48.48-01 - 0-27 98. 57. 58-16 99. 13. 14-84 41-06 Jl Moon's L. L. 67. 52. 52-90 30-02 35-5 2. 26-90 56. 54-70 52. 33-78 0-54 105. 34. 11-78 105. 18. 38-04 41-04 16 Moon's U. L. 66. 15. 52-70 29-72 45-5 2. 11-77 59. 23-45 54. 11-52 0-54 103. 55. 18-47 104. 11. 32-98 40-96 May 2 Moon's U. L. 44. 12. 29-40 29-74 53-5 0. 55-76 54. 15-49 37. 38-25 + 0-27 82. 7. 9-97 82.22. 0-06 40-68 11 Moon's U. L. 70. 24. 42-70 29-68 53-5 2. 39-43 58. 35-92 55. 2-65 0-63 108. 3.45-51 108. 19. 47-00 40-49 12 Moon's U. L. 69. 25. 28-50 29-48 57-5 2. 29-03 58. 54-84 54. 59-35 - 0-63 107. 4.24-07 107.20.30-74 40-47 13 Moon's U. L. 67. 17. 16-30 29-34 62-5 2. 11-91 59. 8-29 54. 22-78 0-54 104.56.31-10 105. 12.41-46 40-45 14 Moon's U. L. 64. 8.55-60 29-63 50-5 1.58-12 59. 16-39 53. 9-71 0-45 101.49. 9-31 102. 5.21-89 40-43 16 Moon's U. L. 55. 49. 10-50 29-76 56-5 1. 23-83 59. 16-91 48. 50-73 0-18 93.33. 7-94 93. 49. 20-66 40-39 31 Moon's U.L. 50. 0.26-20 29-38 61-5 1. 6-38 54. 35-96 41. 38-42 + 0-09 87.51. 17-91 88. 6. 13-61 40-17 June 2 Moon's U. L. () 57. 58. 22-80 29-40 56-5 1.29-86 55. 38-07 46.59-15 95. 44. 18-35 95. 59. 31-08 40-15 3 Moon's U. L. 61.46.17-10 29-82 54-5 1.46-51 56. 19-68 49. 27-17 0-36 99. 30. 1-49 99. 45. 25-63 40-14 4 Moon's U. L. 65. 10. 55-50 29-74 55-5 2. 2-89 57. 4-35 51.37-83 0-45 102. 52. 46-02 103. 8.22-40 40-13 5 Moon's U. L. ! . 67. 57. 17-60 29-65 53-5 2. 20-25 57. 49-03 53. 25-32 0-54 105. 37. 38-30 105. 53. 26-93 40-11 6 Moon's U. L. (") 69. 49. 55-30 29-75 53-5 2. 34-92 58. 29-79 54. 44-73 0-63 107.29.11-44 107.45. 11-25 40-10 7 Moon's U. L. 70.35. 8-80 29-92 54-5 2.41-92 59. 3-36 55. 32-06 - 0-63 108. 13. 44-72 108.29.53-72 40-09 14 Moon's U. L. 48. 11. 9-60 29-72 62-5 1. 2-86 58. 36-54 43. 28-56 + 0-18 86. 0. 7-46 86.16. 9-11 40-05 25 Moon's U. L. . . 41. 2.20-30 29-72 69-5 0. 48-30 54. 11-01 35. 22-68 + 0-45 78.59. 8-70 79. 13. 57-57 40-03 28 Moon's U. L. 52. 6.18-90 29-7S 67-5 1. 11-64 54.34-51 42. 52-84 o-oo 89.56. 1-67 90. 10. 56-97 40-04 July 8 Moon's U.L. 63. 23. 35-40 29-84 56-5 1.53-70 60. 26-82 53. 51-63 0-45 101. 3. 2-66 101. 19. 34-54 40-12 11 Moon's U. L. 49.48.31-30 30-03 64-5 1. 6-97 59. 6-25 44. 56-63 + 0-09 87.36. 6-35 87. 52. 15-15 40-16 27 Moon's U. L. 58.11.41-90 30-00 74-5 1. 29-23 54. 57-93 46. 32-01 - 0-27 95.68. -3-73 96. 13. 5-45 40-40 28 Moon's U. L. 61. 50. 48-30 29-82 75-5 1. 42-46 55. 36-55 48.51-35 0-36 99.35. 4-47 99. 50. 16-79 40-42 Alii;. 2 Moon's U. L. . . 70. 3.23-30 29-75 59-5 2. 34-87 60. 7-58 56.21-13 0-63 107.41. 3-02 107. 57. 29-63 40-51 6 Moon's U. L. 56. 38. 40-10 29-53 52-5 1.26-50 60. 49-15 50. 36-04 0-18 94. 20. 55-02 94. 37. 33-02 40-59 9 Moon's U. L. 42.45.11-30 29-58 48-5 0.53-16 58. 38-25 39. 35-62 + 0-36 80.37.51-77 80. 53. 53-90 40-66 The Moon's U. L. or L. L. was usually observed when the bright 1 L. or 2 L. was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufscti's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" -98 : q = 8" '65. (') Observed at Transit of Center. Increase of N. P. D. during passage of Semidiameter = + 10"-00. This is not applied to form the numbers in the columns " Geocentric N.P.D. of Limb," " Geocentric N.P. D. of Center;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. (") Observed at Transit of 1 L. Increase of N. P. D. during passage of Semidiameter = + 3" '90. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (243J Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semidiameter. Geocentric N.P.D. of U. L. or L. L., at Transit of 1 L. or 2 L. Geocentric N. P. D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1811. Aug. 30 Moon's L. L. o / // 69. 50. 8-10 in. 30-18 o 59-5 / // 2. 35-27 / // 59. 59-75 / n 56. 9-24 // 5-09 O 1 II 107.28. 5-80 O ' 107.11.41-34 II 41-03 31 Moon's L. L. 67. 30. 45-00 29-96 57-5 2. 17-56 60.45-74 55.58-17 S-64 105. 8.39-27 104. 52. 2-21 41-04 Sep. 1 Moon's L. L. 64. 2.32-80 30-10 56-5 1. 57-98 61. 15-88 64. 54-10 11-40 101.41.13-81 101.24.28-49 41-06 2 Moon's U. L. ( a ) 59. 7.34-90 30-24 50-5 1. 37-87 61.25-79 52. 31-70 13-04 96.48. 6-07 97. 4.54-12 41-07 4 Moon's U. L. 49. 18. 32-40 30-15 54-5 1. 7-41 60. 42-77 45. 49-40 13-43 87. 5. 0-52 87. 21. 36-77 41-10 5 Moon's U. L. 44. 37. 56-30 30-12 53-5 0. 57-31 59. 55-95 41. 53-48 12-19 82.28.10-79 82. 44. 34-21 41-11 6 Moon's U. L. 40. 32. 58-70 30-11 49-5 0. 50-07 58. 69-77 38. 8-34 10-26 78. 26. 52-42 78.43. 0-45 41-12 7 Moon's U. L. 37.17.12-10 30-15 46-5 0. 44-90 58. 0-44 34. 55-66 7-81 75. 14. 15-31 75.30. 7-07 41-14 10 Moon's U. L. 33. 25. 21-40 30-01 55-5 0. 38-04 55. 28 62 30. 21-07 + 0-64 71.27. 0-24 71. 42. 10-37 41-17 24 Moon's ILL. .. 69. 49. 10-10 29-52 59-5 2. 31-75 56. 57-16 63. 17-77 + 3-13 107. 29. 47-53 107.45.21-94 41-22 27 Moon's L. L. 68. 44. 18-20 29-22 46-5 2. 25-86 59.31-81 55. 18-73 6-71 106. 22. 58-46 106. 6.41-65 41-22 23 Moon's L. L. 65. 53. 23-80 29-36 51-5 2. 6-35 60. 17-88 54. 51-73 9-76 103. 32. 14-17 103. 15. 44-74 41-21 29 Moon's L. L. 62. 2.39-30 29-58 52-5 1.47-31 60. 52-62 53. 35-23 -12-05 99. 42. 28-87 99. 25. 49-92 41-21 30 Moon's L. L. 57. 27. 59-30 29-66 54-5 1. 29-27 61. 10-56 51. 22-76 13-45 95. 9.44-02 94.53. 0-15 41-21 Oct. 1 Moon's L. L. 52. 30. 44-00 29-50 50-5 1.14-52 61. 8-97 48. 18-93 -13-88 90. 15. 17-49 89. 58. 34-05 41-19 2 Moon's L. L. 47. 34. 27-80 29-81 48-5 1. 3-49 60.47-07 44. 39-38 13-32 85.22. 1-87 85. 5.24-44 41-19 7 Moon's L. L. 33.52. 9-90 29-85 55-5 0. 38-48 56. 21-36 31. 11-98 0-43 71. 52. 59-92 71. 37. 35-33 41-16 23 Moon's L. L. 70. 61. 30-40 29-48 56-5 2. 41-28 57. 43-85 54. 22-98 2-05 108. 31. 17-48 108.15.30-27 40-95 25 Moon's L. L. 67.13.48-10 29-18 45-5 2. 15-45 59. 2-98 54. 16-75 8-24 104. 53. 21-24 104. 37. 12-34 40-92 29 Moou's L. L. 50. 5.33-60 29-05 49-5 1. 7'46 60. 31-00 46. 12-82 -13-48 87.52. 5-38 87. 35. 32-35 40-84 Nov. 4 Moon's L. L. 33. 45. 56-20 29-83 47-5 0. 38-94 56. 29-30 31. 11-28 + 1-14 71.46.46-28 71. 31. 19-51 40-73 5 Moon's L. L. 34. 39. 13-60 29-80 47-5 0.40-21 55.41-51 31. 27-75 + 3-76 72. 39. 51-22 72. 24. 37-55 40-71 10 Moon's L. L. . . 49. 15. 29-20 29-17 42-5 1. 6-73 54. 10-82 40.51-81 + 9-52 87. 7.17-19 86. 52. 28-38 40-61 20 Moon's L. L. 70. 18. 18-50 30-27 41-5 2. 45-73 58. 7-18 54. 33-73 4-28 107.58. 1-43 107.42. 7-83 40-45 21 Moon's L. L. 68. 16. 28-90 30-19 37-5 2. 30-01 58. 32-10 54. 12-81 7-26 105.56.19-71 105.40.19-27 40-44 22 Moon's L. L. 65. 14. 35-40 30-09 38-5 2. 9-15 58. 54-48 53. 19-31 9-66 102.55. 0-81 102.38.54-24 40-42 24 Moon's L. L. 56. 57. 44-80 30-14 38-5 1. 31-98 59. 28-15 49. 39-73 12-52 94. 41. 14-26 94. 24. 58-46 40-38 From 1811, Aug. 30, the Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb aud of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's SO p and -- q cos. N. P. D. to the corrected Quadrant Readino-. 90 - p= 38. 31'. 23" '98: q = 8" "65. <*) The correction for increase of N. P.D. during passage of Semidiameter is not applied to form the numbers in the columns "Geocentric N.P. D. of Limb," "Geocentric N.P. D. of Center;" which, therefore, in this instance, represent the N.P.D. of Limb and Center at Transit of Center. 2(1)2 (244) REDUCTION OF GREENWICH LUNAR OBSERVATIONS Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semidiameter. Geocentric N.P.D. ofU. L. orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L.or2L. Tabular Obliquity of Ecliptic. 23.27'. 1811. o / " in. o / /' / /* / // O / II O 1 li m Nov. 30 Moon's L. L. () 34.16. 56-40 30-11 45-5 0. 40-24 57.51-95 32. 22-89 72. 16. 35-73 72. 0.46-30 40-30 Dec. 2 Moon's L. L. 33.55. 3-00 29-83 35-5 0.40-15 56. 22-66 31.15-08 + 2-58 71.55.51-95 71.40.27-00 40-27 4 Moon's L. L. 37.31.33-70 29-14 33-5 0. 44-98 55. 4-09 33. 20-55 + 6-77 75.30.26-71 75. 15.23-30 40-24 5 Moon's L. L. 40.24. 2-90 29-79 24-5 0.51-93 54. 36-32 35. 11-68 + 8-01 78.21. 13-39 78. 6.17-59 40-23 6 Moon's L. L. 43. 45. 32-40 29-65 43-5 0. 55-86 54.18-34 37.21-96 + 8-83 81. 40. 37-86 81.25.46-99 40-23 8 Moon's L.L. (") 51.20.58-30 29-18 41-5 1. 12-03 54. 16-24 42. 11-98 8. 11.22-27 88.56.31-97 40-21 22 Moon's L. L. 53.85.24-10 30-08 32-5 1.23-02 59.12-14 47.39-19 12-68 91.40.44-84 91.24.33-43 40-18 23 Moon's L. L. 49. 12. 15-90 29-93 41-5 1. 8-48 59. 2-49 44. 29-63 12-51 87. 0.30-78 86. 44. 22-01 40-18 25 Moon's L. L. 40.39.41-00 30-10 30-5 0. 52-28 58. 30-25 37.54-59 10-22 73. 34. 11-18 78. 18. 11-24 40-18 27 Moon's L. L. 34.59.21-70 28-86 29-5 0. 40-95 57.39-1-2 32. 50-84 - 5-18 7-2. 58. 38-44 72. 42. 52-53 40-20 1812. Jan. 1 Moon's L. L. . . 38. 52. 59-60 29-53 34-5 0. 47-75 54. 54-53 34.16-14 + 7-53 76. 51. 0-75 76. 35. 59-96 40-22 2 Moon's L. L. 42. 3.38-00 29-38 35-5 0. 53-04 54. 30-95 36. 19-53 + 8-56 79. 59. 42-55 79. 44. 48-23 40-23 . 3 Moon's L. L. 45. 38. 19-40 29-33 31-5 1. 0-50 54. 15-68 38. 36-17 + 9-21 83. 32. 15-95 83. 17.25-S1 40-25 5 Moon's L. L. (') 53.24. 7-20 29-52 31-5 1.20-11 54. 14-81 43. 22"25 91. 13.29-22 90. 58. 39-32 40-27 7 Moon's L. L. 61. 5. 0-90 29-90 335 1.48-45 54.58-16 47. 56-82 + 9-33 98.50.27-17 98. 35. 25-39 40-29 8 Moon's L. L. 64. 32. 34-20 30-11 28-5 2. 7-91 55. 34-90 50. 1"29 + 8-61 102. 16. 15-25 102. 1. 3-39 40-30 19 Moon's L. L. 50.51. 14-10 29-88 44-5 1. 12-02 59. 29-12 45. 55-84 12-89 88.38. 6-94 88.21.50-87 40-47 21 Moon's L. L. 42. 0. 2-00 29-68 32-5 0.53-81 58. 28-66 38. 55-20 -10-71 79. 53. 33-78 79. 37. 34-28 40-52 23 Moon's L. L. 35. 47. 38-60 29-94 31-5 0. 43-57 57.23-11 33.21-17 6-10 73. 46. 28-66 73.30.47-14 40-55 24 Moon's L. L. . . 34. 7.20-00 29-97 29-5 0.41-17 56.51-27 31.41-05 3-15 72. 7.44-60 71. 52. 11-81 40-57 26 Moon's L. L. 33. 53. 46-80 29'97 35-5 0. 40-43 55. 50-39 31. 0-21 -t 2-71 71.59.45-62 71.44.29-51 40-62 27 Moon's L. L. 35.25. 7-30 29-76 44-5 0.41-57 55. 2-2-36 31.53-28 + 5-07 73. 25. 12-03 73. 10. 3-61 40-64 28 Moon's L. L. 37.41.32-90 29-44 38-5 0. 45-24 54. 57-02 33. 23-84 + 6-88 75. 40. 23-02 75.25.21-54 40-66 29 Moon's L. L. . . 40. 37. 50-40 29-08 42-5 0. 49-20 54.35-12 35.20-87 + 8-14 78.34.49-14 78. 19. 53-67 40-68 30 Moon's L. L. 44. 3. 19-00 29-51 39-5 0. 56-64 54.18-14 37. 33-99 + 8-96 81. 58. 13-38 81.43.22-56 40-71 Feb. 1 Moon's L.L. 51.41.16-90 29-53 425 1. 13-63 54. 3-92 42. 14-36 + 9-64 89.31.49-72 89. 17. 2-80 40-75 2 Moon's L. L. 55. 36. 15-30 29-44 42-5 1.24-66 54. 9-66 44. 30-85 + 9-60 93. 24. 43-20 93. 9.54-71 40-77 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed bv adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p =38. 31'. 23" -98: q = 8" "65. (") Observed at Transit of 2 L. Correction applied for Curvature of Path, + 0"'63. ( b ) Observed at Transit of 2 L. Correction applied for Curvature of Path, + 0"'06. (') Observed at Transit of 2 L. The correction for Curvature of Path is insensible. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (245) Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semidiameter. Geocentric N.P.D. ofU.L.orL.L., at Transit of 1 L.or2L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 181-2. o / // in. o / /' / it / */ // O 1 II Gill *t Feb. 18 Moon's L. L. 39. 37. 27-80 29-78 42-5 0. 48-62 58.39-13 37. 11-58 9-66 77. 32. 36-61 77. 16. 34-25 41-11 20 Moon's L. L. 34. 36. 48-10 29-73 435 0. 40-39 57. 5-55 32. 13-28 4-07 72. 36. 40-67 72.21. 3-96 41-15 21 Moon's L. L. 33.40.13-10 29-43 48-5 0. 38-20 56. 24-28 31. 3-81 1-07 71.41. 9-82 71.25.44-43 41-17 22 Moon's U. L. 33. 16. 1-60 29-31 42-5 0. 37-03 55. 48-06 30.24-13 + 1-76 71. 17. 34-84 71.32.50-31 41-18 24 Moon's U. L. 36. 20. 45-60 29-83 35-5 0. 43-93 54.51-58 32. 18-66 + 6-18 74. 20. 26-34 74. 35. 26-33 41-22 25 Moon's TJ. L. 39. 2. 5-90 29-03 35-5 0.47-10 54. 30-85 34. 7-98 + 7-63 76. 59. 59-42 77. 14. 53-72 41-24 2(5 Moon's TJ. L. 42. 16. 34-00 29-53 32-5 0. 54-05 54. 16-03 36. 17-91 + 8-63 80. 12. 24-00 80. 27. 13-96 41-26 27 Moon's L. L. 46.24. 7-20 29-53 35-0 1. 2-09 54. 4-11 38. 58-00 + 9-25 84. 17. 43-66 84. 2.56-69 41-27 28 Moon's L. L. 50. 15. 5-90 29-50 33-5 1. 11-22 53. 58-74 41. 19-08 + 9-55 88. 6.31-28 87. 51. 45-78 41-29 Mar. 2 Moon's L. L. 61. 39. 37-80 29-81 27-5 1. 52-14 54. 22-62 47. 41-64 + 8-88 99. 25. 22-58 99. 10. 30-54 41-34 4 Moon's L. L. 67.42. 1-90 29-70 36-5 2.23-74 55. 20-42 51. 2-72 + 6-61 105. 24. 55-81 105. 9.47-92 41-36 21 Moon's U. L. 33. 53.51-40 29-13 41-5 0. 38-69 55. 37-84 30. 49-16 + 3-54 71.54.5868 72. 10. 11-35 41-48 22 Moon's U. L. 35. 36. 50-60 29-54 40-5 0.41-91 55. 2-53 31. 50-94 + 5-63 73. 36. 57-48 73.52. 0-47 41-47 25 Moon's U. L. 44. 40. 18-40 29-95 29-5 0. 59-98 54. 2-95 37. 48-35 + 9-04 82.34.43-85 82. 49. 30-50 41-47 26 Moon's U. L. 48.28. 3'30 30-22 30-5 1. 8-95 53. 56-80 40.11-70 + 9-50 86. 20. 14-48 86. 34. 59-45 41-47 Apr. 15 Moon's U. L. 33. 36. 9-20 29-66 47-5 0. 38-48 58. 28-72 32. 8-81 3-73 71.36. 3-85 71.52. 3-36 41-31 17 Moon's U. L. (') 33. 19. 46-50 29-82 41-5 0.38-76 56. 32-73 30. 51-56 + 2-73 71.20.52-18 71. 36. 19-89 41-29 19 Moon's TJ . L. 37. 2.32-70 29-99 40-5 0. 44-83 55. 3-73 32. 58-03 + 6-85 75. 1.34-39 75. 16. 37-70 41-26 20 Moon's U. L. 39. 57. 59-40 29-96 45-5 0. 49-21 54. 33-60 34. 50-82 + 8-07 77. 55. 11-89 78.10. 6-94 41-25 21 Moon's U. L. 43. 22. 22-80 30-00 45-5 0. 55-53 54. 13-03 37. 2-28 + 8-92 81.17.29-80 81. 32. 19-22 41-24 22 Moon's TJ. L. 47. 6.43-20 29-88 44-5 1. 3-14 54. 1-72 39. 23-70 + 9-43 84. 59. 36-44 85. 14. 22-75 41-21 23 Moon's IT. L. .. 51. 2. 9-10 29-92 37-5 1. 13-65 53. 58-64 41. 47-04 -f- 9-71 88. 52. 49-81 89. 7.35-28 41-20 26 Moon's TJ. L. 62. 28. 37-90 29-53 39-5 1. 52-06 54. 28-77 48. 8-72 + 8-81 100. 13. 55-57 100. 28. 49-30 41-15 May 3 Moon's U. L. 67.16.20-30 29-61 41-5 2.18-88 58. 16-80 53. 35-11 7-90 104. 56. 22-38 105. 12. 18-62 41-03 18 Moon's TJ. L. 41. 51. 55-40 29-78 57-5 0. 51-03 54. 39-43 36. 16-73 -r- 8-84 79. 47. 43-31 80. 2.39-96 40-79 20 Moon's U. L. 49. 27. 18-30 29-61 59-5 1. 5-88 54. 7-71 40. 56-60 + 9-75 87.18.41-40 87. 33. 29-36 40-76 22 Moon's U. L. 57. 24. 45-70 30-03 43-5 1. 32-26 54. 15-19 45.32-11 + 9-71 95. 12. 0-90 95. 26. 50-91 40-73 The Moon's U. L. or L. L. was usually observed when the Center WHS passing the Meridian. The Geocentric N. P. U. of Liinh and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. 0. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 _ p = 38. 31'. 23" -98: q = 8" '65. (") Micrometer loose. (246) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Ther- mo- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon'* N.P.D. during the Passage of Semi diameter. Geocentric N. P. D. of U.L.orL. L., at Transit of 1 L. or 2 L. Geocentric N.P.D. of Center at Transit of 1 L. or 2 L. | Tabular Obliquity of Ecliptic. 23. 27'. 1812. May 26 Moon's U. L. (') o / 69.39. 7-80 29-65 o 58-5 ' U 2. 31-39 / // 65. 46-63 / a 52. 8-36 " O t It 107. 20. 66-77 O / " 107.36.11-85 g 40-68 27 Moon's U. L. 70. 54. 42-40 29-52 53-5 2. 42-98 66. 17-50 53. 2-45 + 2-11 108. 35. 51-78 108. 51. 15-32 40-67 June 1 Moon's U. L. 61. 30. 14-70 29-82 54-5 1. 46-35 58. 51-86 51. 32-92 11-32 99.11.41-17 99. 27. 47-02 40-62 3 Moon's U. L. 52. 13. 47-80 29-96 59-5 1. 13-56 69. 38-97 46. 66-87 13-30 89. 59. 15-17 90. 15. 33-94 40-60 4 Moon's U. L. 47. 19. 29-30 30-00 62-5 1. 1-57 59. 52-48 43. 48-53 -13-28 85. 7.52-31 85. 24. 14-78 40-60 1 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. , 90-p=38.31'.23"-98: q=8"'65. (') Observed at Transit of 2 L. Correction applied for Curvature of Path, 0"'62. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (247) Year, Month, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo* meter Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equate real Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi, diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L.or2L. Tabular Obliquity of Ecliptie. 23. 27'. 1812. June 15 17 19 20 21 22 23 24 28 July 3 4 Regulus o i n 77. 6.41-30 82. 19. 22-25 74. 22. 11-05 69. 49. 34-50 74.22.11-15 90. 12. 38-87 82. 57. 38-60 115.56. 8-15 100. 9. 4-70 98. 5. 56-43 O i 'I 38.35. 7 43. 47. 48 35. 50. 37 31.18. 1 35. 50. 37 51.41. 6 44.26. 6 77. 24. 34 61. 37. 33 59. 34. 25 66.41.41 44.26. 7 61.37.35 66. 41. 40 63. 10. 23 77. 24. 38 31.18. 24. 6.48 66. 19. 48 77. 24. 36 35. 50. 30 66. 38. 55 77. 24. 33 68.51.18 61. 37. 32 66.41.37 77. 24. 35 70. 33. 20 44.26. 2 77. 24. 32 38. 45. 17 in. 29-72 29-72 29-72 29-72 29-52 29-54 29-64 29-64 29'29 29-28 29-28 29-28 29-31 29-31 29-37 29-40 29-50 29-50 29-52 29-53 29-72 29-73 29-75 29-75 29-83 29-83 29-83 29-83 29-89 30-01 29-92 29-98 30-00 29-99 68-0 69-0 65-0 60-0 58-0 57-0 52-0 51-0 53-0 52-0 51-5 51-0 55-0 55-0 53-0 52-0 54-0 53-0 52-0 52-0 59-0 51-0 48-0 48-0 54-0 52-0 48-5 48-5 51-5 42-5 53-5 54-5 50-0 49-0 ' // 0. 44-41 0. 53-25 0.40-68 0. 34-40 0. 40-75 1.11-48 0. 56-22 4. 11-55 1.44-31 1.36-15 2. 10-84 0.55-61 1.43-96 2. 10-04 1.51-64 4. 8-98 0. 34-56 0. 25-50 2. 9-53 4. 10-11 0. 40-94 2. 12-44 4. 14-08 2. 28-92 1.46-02 2.13-16 4. 14-47 2.43-17 2. 48-86 1.55-44 0. 48-62 0. 56-54 4.15-14 0. 46-84 14-12 41-30 58-98 41-16 26-50 12-31 42-09 * 15-36 26"25 42-04 15-33 * 12-41 58-24 37-01 12-45 40-88 33"28 12-48 41-89 15-25 12-51 24-54 1-2-84 28-77 / // 0. 11-59 -0.10-43 0. 9-92 0. 10-74 0. 8-32 0. 7-39 -0. 6-92 -0. 7-86 0. 7-06 -0. 7-72 0. 6-01 -0. 5-15 0. 20-97 0.21-94 -0. 18-61 -0. 21-51 0. 19-49 0. 19-53 0. 21-56 0. 20-24 0.21-59 + 0. 5-32 + 0. 4-57 + 0. 4-13 / // 54. 43-22 54. 13-67 54. 26-79 54. 47-37 55. 15-20 55. 47-93 56. 23-66 57. 0-02 58. 51-37 59. 10-39 / // 37. 40-48 42.21-69 46. 46-42 48. 43-45 50. 26-51 51. 52-98 53. 1-28 53. 49-13 52. 14-01 37. 55-09 jr + 9-36 + 9-90 + 9-50 + 8-82 + 7-67 + 5-87 + 3-39 + 0-36 10-86 10-97 O ' 81.42.15-01 81.57.12-14 89.31. 9-94 89. 45. 59-01 97. 20. 29-38 97. 35. 22-03 100. 54. 46-83 101. 9.45-11 104. 2.48-52 104. 17. 54-40 106. 33. 13-34 106.48.28-15 108. 14. 22-10 108. 29. 46-67 108. 55. 26-16 109. 11. 1-35 100. 37. 29-05 100. 53. 34-77 78. 1.32-15 78. 17. 43-09 ti 40-55 40-55 40-54 40-55 40-55 40-56 40-56 40-57 40-59 40-64 Moon's U. L. . . . ft Leonis Arcturus ft Leonis Moon's U. L. . . . a. Serpentis Spica Moon's U L. . . . it Librae 105. 13. 12-38 82. 57. 37-70 100. 9. 5-80 105.13.11-30 101.41.53-75 115.56. 8-58 69. 49. 44-65 62. 38. 33-45 104.51.32-68 115.56.20-95 74.22.21-45 105. 10. 40-33 115.56.17-93 107.23. 3-45 100. 9. 17-43 105. 13. 22-33 115. 56. 19-63 109. 5. 4-73 71. 15. O'OO 62. 56. 32-90 40. 7.27-40 82. 57. 22-68 115.55. 53-13 a. Serpentis S|)ica a. Librae Moon's U. L An tares Arcturus a Coronas Borealis Moon's U. L. . . . Antares ft Leonis 8 Librae Antares Moon's U. L. . . . a Libras Antares Moon's U. L. . . . Moon's U. L . Moon's U. L. . . . Moon's U. L. . . . Serpentis Antares 77.16.37-80 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of pnssnge of the Limb which was observed with the Transit. For the Quadrant Observations on June 24, 28, July 3, the N. P. U. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Readme 90 - p = 38. 3 1'. 23" -98: q = V "65. (248) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. l|o Correction for Index Error. Tabular Horizontal Eqimtoreal I'arallax. Parallax. Increase of Moon's N.P.D. during the Passage of Scmi- diametcr. Geocentric N.P.D. of U.L. or L. L., and of >nter, at Transit of 1 L. or 2 L. Tabular Obliquity at Ecliptic. 23. 27'. 1812. o / n ' II m. o , a / i / jr r it ft o / // " July 4 Moon's U. L. . . . 75. 8.17-78 36. 36. 57 29-98 63-0 0. 42-45 58.56-01 34. 55-99 8-62 74.34. 0-29 74.50. 6-47 40-65 14 74.22. 3-50 35. 50. 27 30-10 67-0 0. 40-81 40-08 -0. 4-23 Moon's U. L. . . . 88. 22. 46-70 49. 51. 10 30-10 67-0 1. 6-90 . . . . 54. 21-29 41.21-56 + 9-92 87. 42. 18-87 87. 57. 10-02 40-78 a, Herculis 75. 22. 20-43 36. 50. 43 30-07 56-0 0. 43-23 0-48 0. 3-18 77. 16. 43-03 38.45. 6 30-07 54-0 46-49 27-17 0. 2-35 15 Moon's U. L. . . . 53. 53. 37-10 30-02 65-5 1. 17-35 54. 14-06 43. 38-04 + 9-94 91. 42. 30-71 91. 57. 20-40 40-79 18 69. 49. 26-40 31. 17.49 30-05 70-0 0. 34-09 55-87 0. 4-62 Moon's U. L. . . . 103. 26. 13-93 64. 54. 37 30-03 65-0 2. 0-26 54. 56-60 49. 35-62 + 8-19 102. 38. 26-80 102. 53. 27-59 40-84 a Coronse Borealis 62.38.10-18 24. 6.33 30-03 65-0 0. 25-33 32-90 0. 2-61 82.57.31-25 44. 25. 54 30-03 65-0 0. 55-45 23-18 0. 3-52 21 Moon's U. L. . . . 71. 1.34-30 29-55 61-5 2. 41-53 56. 54-41 53. 39-46 + 1-85 108.42. 1-27 108. 57. 34-92 40-90 22 Moon's U. L. . . . 71. 7.47-70 29-95 49-5 2.48-75 .. 1 1 57. 39-15 54.23-73 - 1-42 108. 47. 40-91 109. 3.26-83 40-92 26 Moon's U. L. . . . 60. 17.44-70 29-71 53-5 1.40-01 ^ f , , 59. 36-96 51.35-58 12-22 97. 59. 2-09 98.15.20-31 41-01 27 Moon's U. L. . . . 55.36. 7-80 .. 29-51 50-5 1. 23-47 . , . . 59.41-34 49. 3-19 -13-13 93.19.39-43 93. 35. 58-84 41-03 28 Moon's U. L. . . . 50. 41. 26'90 29-44 49-5 1. 9-83 m * . 59. 35-92 45. 54-49 13-30 88. 27. 52-69 88. 44. 10-6-2 41-04 30 Moon's U. L. . . . 41.28.23-30 29-73 53-5 0. 50-66 i f . . 59. 4-23 38. 54-36 -11-42 79. 21. 30-56 79. 37. 39-81 41-09 Au-.14 Spica 100. 8. 34-85 61 . 37. 29 30-08 68-0 1. 43-93 38-67 + 0. 19-89 O Moon's U. L. . . . 102. 0.46-18 63. 29. 40 30-07 67-0 1. 52-68 54.29-16 48. 35-52 + 8-51 101.14.13-71 101.29. 7-01 41-42 81. 35. 39-20 43. 4. 33 30-07 56-0 0. 53-92 52-62 + 0. 19-50 Orients 82. 37. 9-03 44. 6. 3 30-06 55-0 0. 55-98 22-25 + 0. 17-24 15 69.49. 1-13 31. 17. 55 30-03 65-0 0. 34-41 55-46 + 0. 19-92 82. 57. 6-05 44. 26. 30-02 61-0 0. 55-88 21-48 + 0. 19-55 Moon's U. L. . . . 105. 2.31-55 66. 31. 26 30-02 61-0 2. 10-53 * * 54. 55-69 50. 13-18 + 7-30 104.14.41-20 104. 29. 41-75 41-44 a. Herculis 75. 21. 54-40 36. 50. 48 30-00 57-0 0. 43-04 56-78 + 0. 19-34 17 82. 57. 6'75 44. 26. 6 29-93 66-0 0.55-16 21-41 + 0. 19-50 75. 21. 54-50 36. 50. 49 29'92 66-0 0.42-18 56-61 + 0. 19-93 Moon's U. L. . . . 109. 3.39-15 70. 32. 34 29-92 65-0 2.38-14 56. 17-44 52.55-16 + 3-16 108. 13. 38-57 108.29. 1-45 41-49 106. 25. 25-50 67. 54. 20 29'85 70-0 2. 16-26 1-13 + 0. 19-37 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. For the Quadrant Observations on July 15, 21, 22, 26, 27, 28, 30, the N. P. U. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" -98: q = 8" -65. SECT. II. INVESTIGATION OF MOON'S NORTH POLAK DISTANCE. (249) Year, Month, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabularl N. P. n. Correction for Index Error. Tabular rlori/ontal Jquatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L.,and of Jenter, at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 3. 27'. 1812. Auc.19 o t n 115.55.49-10 77.16.19-15 109. 12. 24-50 o ' // 77. 24. 43 38.45. 13 70.41.20 43. 4. 33 77. 24. 43 45. 30. 35 64. 31. 8 62. 48. 46 45. 30. 36 52. 38. 26 23. 2.11 44. 6. 2 68. 5. 42 43. 4.32 45. 30. 34 64.31. 11 31.18. 1 70. 0.56 38.45.11 64. 31. 11 71. 3.54 41. 17.36 45. 30. 34 64.31. 11 71. 6. 41. 17. 37 43. 4. 34 64.31. 13 31. 18. 1 70. 0. 35 64.31.13 64. 33. 30 64.31. 12 64. 33. 29 68. 17. 24 52. 40. 44 29-69 29-69 29-72 29-72 29-92 29-97 29-97 29-96 29-93 30-00 30-05 30-05 30-23 30-23 30-23 30-23 30-20 30-18 30-17 30-15 30-08 30-08 30-08 30-08 29-99 29-99 29-99 29-99 29-87 29-82 29-82 29-82 29-82 29-82 29-82 29-82 29-82 o 66-0 63-5 60-0 60-0 65-0 58-0 57-0 56-0 56-0 51-0 55-0 55-0 66-0 59-0 59-0 58-0 68-0 64-0 64-0 68-0 61-0 58-0 58-0 57-5 61-0 59-0 59-0 59-0 70-0 60-0 60-0 60-0 51-5 52-0 52-0 50-5 49-0 / '/ 4. 4-34 0. 45-03 2. 39-94 0. 52-87 4. 6-75 0. 58-26 1. 59-84 1.51-47 0. 58-06 1. 16-05 0. 24-57 0. 55-96 2. 20-40 0. 53-88 0. 58-65 2. 0-64 0. 34-40 2. 35-34 0. 45-72 2. 0-32 2. 44-95 0. 50-47 0. 58-47 2. 0-17 2. 44-78 0. 50-22 0. 53-46 1. 59-45 0. 33-89 2. 34-69 1.58-53 1.58-73 2. 24-03 2. 0-47 2. 0-68 2. 24-32 1. 16-02 II 13-25 23-05 52-03 13-19 58-32 33-71 58-13 57-19 21-47 49-98 56-83 33-88 57-35 21-08 33-90 50-80 56-72 33-91 50-73 49-82 33-93 57-65 33-95 52-08 33-97 52-10 22-30 / H + 0.19-81 + 0.18-87 + 0.20-06 + 0.17-59 + 0.19-21 + 0.19-92 + 0. 17-92 * * + 0.15-82 + 0.17-51 + 0. 19-85 + 0.20-28 + 0.18-39 -1-0. 18-40 + 0.20-86 + 0.18-83 + 0. 19-93 + 0.20-05 + 0.19-14 + 0.20-36 + 0. 19-26 + 0.18-53 + 0. 19-66 + 0. 19-67 + 0.20-10 + 0.18-70 + 0. 19-72 + 0.18-98 / i 58. 2-19 60. 10-33 60. 28-80 54. 48-80 55. 24-76 56. 10-02 57. 3-48 58. 1-77 59. 0-74 59. 0-74 / // 54. 36-61 53. 20-52 47. 52-00 50. 41-87 51. 55-24 52. 58-37 53. 49-47 54. 22-24 54. 39-67 54. 39-65 ti 3-19 -11-87 13-89 + 6-17 + 4-08 + 1-51 1-52 4-79 7-98 7-98 O / H 108. 20. 50-60 108.36.42-07 100. 28. 30-29 100.12. 3-80 90.22.59-09 90. 39. 30-62 105.48. 38-12 106. 3.36-78 107.42.54-98 107.58. 3-46 108.45. 2-78 109. 0.23-63 108. 46. 18-86 109. 1.54-30 107. 40. 15-05 107.56. 6-42 105. 56. 44-90 105. 40. 36-61 105. 56. 38-38 105.40.30-90 n 41-52 41-59 41-63 41-92 41-93 41-94 41-95 41-97 41-97 J41-97 22 24 Sep. 12 13 14 15 16 17 a. Opbiuchi Moon's U. L. . . . 81. 35. 39-10 115.55.4885 84. 1.40-85 103. 2. 13-95 101. 19.52-30 Antares B Aquilae a 1 Capricorni . . . 84. 1.42-15 91. 9.31-85 61.33.16-80 82.37. 8-00 106. 36. 46-25 81.35.36-25 84. 1.37-90 103. 2. 14-85 69.49. 4-55 108.31.59-60 77. 16. 14-50 103. 2.14-75 109.34.58-00 79. 48. 40-40 84. 1.38-20 103. 2. 14-60 109.37. 2-65 79. 48. 40-15 81.35.37-10 103. 2.15-95 69.49. 4-10 108.31.38-00 103. 2. 15-75 103. 4.33-25 68. 17. 26-20 103. 2. 14-80 103. 4.31-70 106. 48. 26-60 91. 11.47-30 Moon's U. L B Tauri Moon's U. L. . . . a. Aquilse a 1 Capricorni . . . Moon's U. L. . . . a 1 Capricorni . . . Moon's U. L. . . . B Aquilae a 1 Capricorni Moon's D. L. a 1 Capricorni . . . Moon's TJ. L. . . . a 1 Capricorni . . . a? Capricorni . . . Moon's L. L. ... a 1 Capricorni . . . of Capricorni . . . Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, re those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. L). for Quadrant Observations is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" '98 : q = 8" '65. 1812. Sep. 17. The Longitude and E. N. P. D. resulting from the Circle Observation are used in Sect. III. . GREENWICH LUNAR REDUCTIONS. 2(K) (250) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L or L. L., and of Center, at Transi of 1 ,. or2L. Tabular Obliquity of Ecliptic. 23. 27'. 1812. Sep. 18 20 21 24 26 Oct. 13 14 15 1C n 22 Moon's L. L. ... Moon's L. L. (') ' 64.56. 6-00 55. 42. 58-70 81.35.35-25 103. 2. 14-30 91.11.45-10 94. 13. 53-90 49. 56. 32-80 36. 39. 25-90 71.15. 2-50 84. 16. 53-00 97.49. 4-25 74. 21. 40-25 71. 17. 6-00 69. 49. 30-00 82. 57. 30-00 109. 48. 31-05 81.35.57-60 108. 6. 47-00 77. 6.34-20 74.22. 8-10 103. 2.39-50 105. 19. 57-25 91.12. 8-60 97. 49. 27-90 81.35.56-15 103. 2.37-00 91. 12. 7-75 101.33.40-50 o ' 43. 4.32 64.31.11 52. 40. 42 55. 42. 51 32. 43. 37 45. 45. 27 59. 17. 38 35. 50. 14 31 18 4 in. 30-10 29-98 30-02 30-02 30-00 29-99 29-89 29-96 30-02 30-02 30-02 30-02 28-95 29-05 29-01 28-94 28-94 28-8-2 29- 10 29-13 29-13 29-13 29-15 29-31 29-49 29-49 29-50 29-50 29-22 29-22 29-22 29-22 29-30 o 47-5 52-5 55-0 52-0 51-0 53-0 52-5 40-5 54-0 60-0 60-0 66-0 49-5 56-0 56-0 49-0 49-0 47-0 46-0 51-0 47-0 46-0 45-0 44-0 49-0 48-0 46-0 45-0 51-0 51-0 50-0 50-0 47-5 / // 2. 5-04 1.24-81 0. 53-94 2. 1-28 1.16-16 1. 24-74 1. 8-62 0. 44-16 0.37-17 0. 58-63 1. 35-93 0. 40-77 2. 44-54 0. 33-89 0. 54-54 2. 44-65 0. 52-64 2.30-16 0. 45-46 0. 40-79 1.58-91 2. 12-37 1. 14-92 1.36-79 0. 53-64 2. 0-12 1.15-66 1.53-34 0. 43-08 1. 32-03 0. 24-58 0. 43-26 0. 39-98 // 49-61 34-00 22-25 15-13 2-76 44-08 1-86 21-86 49-38 17-71 46-83 34-92 22-24 3-34 49-42 34-95 22-24 51-52 30-58 23-35 / // + 0. 20-42 + 0. 18-4-2 + 0.20-99 + 0. 23 50 +0. 22-58 + 0.23-00 0. 2-03 0. 2-68 0. 0-86 0. 1-95 0. 2-00 -0. 3-49 -0. 1-28 0. 1-35 0. 0-37 -0. 2-17 -0. 1-17 0. 1-11 0. 2-50 0. 0-56 / // 59. 54-62 61. 3-89 61. 3-89 61. 10-76 59. 43-24 57. 59-70 i 56. 48-42 56. 48-42 57. 44-53 58. 43-60 59. 41-47 60.31-56 60. 13-96 / a 54. 5-54 50.15-35 50. 15-27 46. 36-86 35. 2(5-09 31. 8-33 53. 39-06 53. 39-05 53. 57-46 53. 48-74 53. 1-36 51. 23-47 34. 16-92 it 10-82 14-18 14-14 14-51 9-05 2-02 - 3-28 3-28 6-32 9-15 -11-58 -13-44 - 7-75 o i // 102.35.42-19 102. 19. 19-14 93. 25. 32-66 93. 8.50-62 93. 25. 23-31 93. 8. 42-21 87. 42. 13-68 87. 58. 57-60 74. 35. 56'60 74. 52. 16-54 70. 44. 52-37 71. 0.43-16 108.57.41-55 108.42. 9-54 108. 57. 38-07 108.42. 6-74 107. 15. 24-01 106. 59. 37-36 104.28.27-99 104. 12. 25-20 100. 42. 42-82 100. 26. 24-25 96. 9.16-61 95. 52. 44-33 72.54.37-15 73. 11. 5-51 9 41-97 41-98 41-98 41-98 41-99 42-00 41-91 41-91 41-91 41-90 41-89 41-88 41-82 a 1 Capricorni. . . . a, Aquarii Moon's L. L. ( a ) Moon's U. L. . . . Moon's U. L. . . . Moon's U. L. . . . Procyon a Hydrae Moon's L. L. ... Arcturus ... . . a Serpentis 44.26. 4 71.17. 5 43. 4.32 69. 35. 21 38.35. 8 35. 50. 42 64.31.14 66. 48. 31 52.40.43 59. 18. 2 43. 4.30 64.31.11 52. 40. 42 63. 2. 15 37. 15. 44 58. 27. 30 23. 24. 43 37. 19. 15 Moon's L. L. ... Moon's L. L. ... Regulus (3 Leonis a' Capricorni . . . Moon's L. L. ... t* Aquarii a Hydrae a Aquilae ' Capricorni . . . a Aquarii ...... Moon's L. L. ... m Pearasi . . 75.47. 9-55 96. 58. 56-00 61.56. 8-50 75. 50. 40-65 34.57. 0-40 Moon's L. L. ... a. Andromedae . . v Peeasi . . Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. For the Quadrant Observations on Sep. 18, 20, 21, 24, and Oct. 13, 22, the N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 3 1'. 23" -98: q = 8" "65. () The correction for increase of N. P. D. during passage of Semidiameter is not applied to form the numbers in the column "Geocentric N. P. D. of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. 181 2. Sep. 20 and Oct. 13. The Longitude and E. N. P. D. resulting from the Circle Observations are used in Sect. III. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (251) Year, Month, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equntoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi, diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or2L. Tabular Obliquity of Ecliptic. 23. 27'. 1812. Oct. 24 26 27 28 Nov.18 19 22 23 Dec. 8 o / // 81.35.56-00 91.12. 8-00 67. 25. 12-55 71.22. 1-00 79.49. 0-00 81. 35. 56-25 67. 25. 11-00 73. 38. 19-10 76.11. 2-40 77. 6.34-15 77. 16.40-25 81.35.55-75 75.47. 4-40 67. 25. 10-30 77. 6.33-10 79.23. 5-20 75.34. 9-70 73. 51. 52-65 100. 8. 39-95 69. 49. 24-80 67. 24. 58-45 73.51.50-10 72. 45. 54-60 61. 33. 17-35 67. 24. 57-00 72.33. 4-75 69. 49. 23-00 62.38. 8-75 77. 16. 29-75 81. 35. 45-75 74. 49. 38-90 69. 49. 25-45 81.35.49-10 107.47.25-08 91. 11. 56-56 100. 8.38-68 Off 43. 4.30 52. 40. 42 28.53.47 32. 50. 35 41. 17. 34 43. 4.30 28. 53. 45 35. 6.53 37. 39. 36 38.35. 8 38. 45. 14 43. 4.30 37. 15. 38 28. 53. 44 38.35. 7 40.51.39 37. 2.55 35. 20. 38 61. 37. 25 31.18.10 28. 53. 43 35. 20. 35 34. 14. 40 23. 2. 2 28. 53. 42 34. 1.50 31.18. 8 24. 6.54 38. 45. 15 43. 4.31 36. 18. 24 31.18.10 43. 4.34 69. 16. 10 52. 40. 42 61. 37. 24 in. 29-88 29-88 29-80 29-75 29-60 29-60 29-67 29-68 29-30 29-30 29-35 29-40 29-40 29-48 29-65 29-65 29-38 29-38 29-56 29-58 29-70 29-70 29-69 29-69 30-26 30-24 30-23 30-24 30-22 30-21 30-01 30-00 30-15 30-10 30-07 29-80 o 49-0 46-5 45-0 43-5 45-0 45-0 41-0 41-0 39-0 40-0 48-0 43-0 40-0 38-0 34-0 34-0 35-0 35-0 33-0 34-0 31-0 31-0 31-0 31-0 28-0 26-0 27-0 28-5 32-0 34-0 39-0 40-0 26-0 25-0 24-0 19-0 ' // 0. 54-35 1. 16-56 0. 32-28 0. 37-80 0. 51-00 0. 54-28 0. 32-40 0.41-29 0. 44-92 0. 46-34 0. 45-94 0. 54-14 0. 44-34 0. 32-40 0. 47-49 0.51-48 0. 44-43 0.41-74 1.49-73 0.36-12 0. 33-13 0. 42-56 0. 40-84 0.25-51 0. 33-97 0.41-70 0. 37-47 0. 27-50 0. 48-90 0. 56-68 0.43-81 0.36-18 0. 57-54 2.41-60 1. 20-78 1. 54-00 It 49-72 22-49 42-79 50-71 49-79 42-61 19-63 24-66 49-91 51-14 42-45 19-78 44-05 39-02 10-47 40-95 44-07 * 53-70 40-80 11-54 46-41 28-70 52-09 11-81 54-00 25-14 41-89 / // 0. 0-63 -0. 2-07 0. 2-04 0. 0-29 0. 0-74 -0. 0-79 0. 0-86 0. 1-53 + 0. 0-02 + 0. 2-40 0. 0-25 0. 0-81 + 0. 9-66 + 0. 9'34 + 0. 9-55 + 0. 9-37 + 0.11-41 + 0. 10-84 + 0. 9-83 + 0.11-07 + 0.10-16 + 0. 10-05 + 0. 9-66 + 0.10-18 + 0. 7-36 + 0. 7-80 + 0. 9-21 / // 58. 19-72 56. 26-84 55. 40-67 55. 3-31 60. 55-89 60.23-13 57. 38-41 56. 41-19 56. 54-21 / ir 31. 25-13 32. 15-72 33. 48-88 35. 49-20 36. 29-28 33. 45-52 32. 2-76 33. 21-43 53. 3-79 I + 0-07 + 5-84 + 7-60 + 8-76 10-00 - 6-23 + 5-05 + 7-25 6-82 ' 70. 51. 12-16 70.35.15-89 73. 6.49-90 72. 51. 24-46 75.38. 5-25 75. 22. 52-42 78. 48. 16-69 78. 33. 14-07 74. 58. 24-37 74. 41. 45-44 72. 12. 54-23 71. 56. 24-25 72. 1.59-09 71.46.14-10 74. 17. 18-49 74. 1.49-13 106. 57. 17-83 106.41.44-91 41-78 41-75 41-73 41-72 41-39 41-38 41-33 41-32 41-18 Moon's L. L. ... a Aquilae a. Arietis Moon's L. L. ... Moon's L. L. ... Regulus a. Ophiuchi a Pecasi . a Arietis Regulus Moon's L. L. ... Moon's L. L. ... Aldebaran Spica Arcturus a, Arietis Moon's L. L. ... /3 Tauri Moon's L. L. ... Arcturus. . . . aCoronae Borealis a. Ophiuchi a Aquilse Moon's L. L. ... Arcturus a. Aquilas Moon's L. L. ... a. Aquarii The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. for Quadrant Observations is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p= 38. 31'. 23" '98: q = 8" -65. . 2 (K) 2 (2S2) KEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N.P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of MOOD'S N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1812. Dec. 9 12 ia 14 1813. Jan. 9 10 11 13 16 24 29-0 31-0 31-0 26-0 25-0 21-0 26-0 29-0 26-0 22-0 21-5 30-0 29-0 30-0 35-0 34-0 34-0 31-0 29-0 26-0 26-0 25-5 32-0 32-0 31-0 31-0 36-0 36-0 34-0 33-0 31-0 30-5 30-0 30-0 28-0 28-0 / // 0. 13-81 0. 56-29 2. 16-60 0.46-21 1.21-20 1. 52-87 0. 59-30 0.13-71 1.19-13 1. 7-96 0. 33-64 0. 56-40 0. 36-42 0. 26-76 0. 45-19 1. 10-84 0. 32-90 0. 26-93 1. 0-72 0.43-16 0. 25-88 0. 58-97 0. 51-36 0. 42-38 0. 25-48 0. 58-03 0. 40-04 0. 25-02 0. 57-22 2. 24-92 0. 42-93 0. 58-70 0. 25-77 0. 40-72 0. 43-62 0.26-16 n 50-47 54-15 52-50 42-57 33-14 51-62 25-53 40-26 17-51 52-95 55-42 40-71 0-23 45-07 51-38 27-76 45-08 51-34 27-83 51-25 27-97 17-99 45-20 28-16 6-50 45-37 50-80 / a + 0. 9-08 + 0. 7-86 + 0. 9-36 + 0. 9-50 + 0. 9-69 + 0. 9-38 + 0. 9-65 + 0. 9-77 + 0. 9-26 + 0. 9-21 + 0. 8-16 + 0. 7-94 + 0. 8-97 + 0. 8-63 + 0. 9-45 + 0. 10-22 + 0. 9-65 + 0. 9-14 + 0. 9-13 + 0. 9-11 + 0. 8-90 + 0. 10-07 + 0. 7-34 + 0. 6-26 + 0. 6-90 + 0. 9-13 + 0. 8-52 / // 57. 29-56 59. 20-70 59. 51-09 60. 14-71 59. 3-43 59.17-75 59. 26-95 59. 22-25 58. 3-26 / // 52. 28-78 47. 19-08 44. 23-61 41. 7-14 45. 0-97 41. 49-05 38. 32-95 33.11-19 32. 5-43 n 9-15 13-44 -13-66 13-05 13-27 -12-85 -11-59 - 6-11 + 5-01 O I if 103. 59. 32-07 103. 43. 49-50 90. 57. 19-40 90.41. 6-47 85. 58. 53-48 85.42.31-98 81.10.43-06 SO. 54. 15-38 87. 45. 45-83 87. 29. 37-62 82.58.51-67 82. 42. 39-55 78. 35. 39-69 78. 19. 25-05 72. 13. 20-20 71.57. 6-85 71.48.38-00 71.32.46-23 II 41-18 41-17 41-16 41-16 41-37 41-38 41-41 41-45 41-51 51.22.27-58 81. 35. 50-00 104.49.26-63 75. 46. 56-93 91.42.54-32 100. 8.40-20 82.57.24-15 51. 22. 28-53 91.11.56-75 86.41.45-87 67. 24. 56-85 81.50.31-97 69. 49. 31-83 62. 38. 16-98 75.47. 2-07 88. 29. 14-33 67. 24. 59-87 62. 38. 24-33 83. 39. 17-72 73.51.53-28 01. 33. 16-05 82. 37. 18-57 79.13. 0-38 73. 51. 53-05 61.33. 16-72 82. 37. 20-67 72. 45. 35-88 61. 33. 17-12 82.37.21-85 106 25 43-00 12.51.13 43. 4.35 66. 18. 12 37. 15. 42 53. 1 1. 39 61.37.25 44. 26. 9 12. 51. 14 52. 40. 42 48. 10. 31 28. 53. 42 43. 19. 17 31.18.17 24. 7. 2 37. 15 47 29-82 29-81 29-83 29-75 29-73 29-63 29-63 29-59 29-58 29-55 29-55 29-55 29-51 29-51 29-65 29-68 29-68 29-76 29-80 29-80 29-80 29-78 29-63 29-64 29-65 29-65 29-42 29-42 29-42 29-42 29-96 29-96 29-96 29-96 30-25 30-25 Moon's L. L. ... Petrasi . . Moon's L. L. ... Spica a Serpentis a Lyra? a Aquarii Moon's L. L. ... a Arietis . . . Moon's L. L. ... Arcturus . . . Coronas Borealis x Pegasi Moon's L. L. ... Arietis 49. 57. 59 28. 53. 45 24. 7. 9 45. 8. 3 35. 20. 39 23. 2. 1 44. 6. 4 40. 41. 45 35. 20. 38 23. 2. 2 44. 6. 6 34. 14. 21 23. 2. 2 44. 6. 7 67. 54. 28 35. 20. 40 44. 6. 8 23. 0. 19 33. 48. 36 35. 20. 38 23. 2. 1 * Coronas Borealis Moon's L. L. ... Aldebaran /3 Tauri r increase of N. P. D. during passage of Semidiameter is not applied to form the numbers in the column ," Geocentric iimb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (257) Year, Month, and Day. Name of Object. Quadrant or Circle Reading. i Approx- imate Zenith Distance. Baro- meter. Ther- 1110- neter. Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. -i3. 27'. 1813. June 10 20 21 22 July 6 7 8 9 11 12 15 16 17 o / a 67.25.12-12 96.11.55-70 67.25.11-85 44. 12. 22-30 69. 49. 39-03 62. 38.20-17 82. 57. 37-47 77. 16. 44-77 86.10. 8-45 96.43. 4-70 69. 49. 36-43 77. 16. 44-48 77. 6.41-87 69. 49. 39-60 100. 39. 46-82 73.52. 2-07 77. 6.41-78 69. 49. 39-07 107. 5.58-42 77. 16. 45-07 75. 22. 21-82 77. 16. 43-83 110.38.13-73 81.35.54-20 72. 27. 25-80 105.41.17-00 67.25. 9-65 73.52. 0-98 61. 33. 29-07 81. 35. 54-20 102. 2. 14-60 67.25. 8-17 73.52. 1-62 77. 16. 42-87 o / 28. 53. 50 57. 40. 34 28. 53. 50 5.41. 31.18.17 24. 6.58 44. 26. 15 38. 45. 23 47. 38. 46 58. 11. 43 31. 18. 14 38.45.23 38. 35. 20 31. 18. IS 62. 8.25 35. 20. 40 38. 35. 20 31.18.17 68. 34. 36 38. 45. 23 36.51. 38. 45. 22 72. 6.52 43. 4.32 67. 9.55 28. 53. 48 35. 20. 39 i,,. 30-05 30-13 30-16 30-16 30-15 30-13 30-13 30-17 30-17 29-96 29-96 29-86 29-67 29-67 29-67 29-56 29-56 29-58 29-65 29-65 29-92 29-92 29-92 29-91 29-80 29-65 29-70 29-71 29-71 29-82 29-82 29-85 29-85 29-86 o 53-0 50-0 54-0 / 0. 32-03 1. 32-26 0. 32-08 0. 5-72 0. 35-54 0. 26-37 0. 57-68 0. 47-62 1. 3-70 1.31-16 0. 34-54 0. 46-17 0. 44-00 0. 33-67 1. 44-33 0. 39-43 0. 43-92 0. 33-90 2. 22-79 0. 45-48 0. 42-76 0. 45-80 2. 55-25 0. 53-52 2. 56-48 2. 15-37 0. 31-40 0. 40-02 0. 23-96 0. 53-80 1. 55-51 0. 31-68 0. 40-05 0. 46-08 a 45-59 45-45 31-44 16-77 49-76 38-22 35-71 15-28 33-29 28-12 15-19 42-99 28-08 15-03 32-80 7-10 32-60 51-54 41-72 42-28 53-20 50-63 39-56 42-18 31-58 / // + 0. 1-44 + 0. 1-52 + 0. 3-42 + 0. 2-20 + 0. 3-22 + 0. 3-07 + 0. 3-32 + 0. 4-31 + 0. 2-64 + 0. 2-25 + 0. 1-92 + 0. 1-49 + 0. 2-38 + 0. 2-06 + 0. 2-25 + 0. 2-52 + 0. 2-87 + 0. 3-82 + 0. 0-67 -1-0. 1-28 + 0. 0-17 + 0. 2-63 0. 0-29 + 0. 0-51 + 0. 2-63 / 58. 2-55 59. 27-85 54. 25-96 54. 12-38 54. 13-97 64. 46-00 55. 9-86 56. 37-82 67. 9-21 / // 48. 51-55 43. 44-08 46. 4-97 47. 45-26 50. 19-82 51.58-28 52. 26-99 52. 1-61 50. 58-83 // 12-49 13-90 + 10-39 + 9-59 + 6-86 + 2-28 0-55 8-58 10-54 o < // 95. 24. 26-30 95. 40. 17-87 85.27.17-37 85. 43. 32-28 95. 58. 23-98 96. 13. 16-40 99.53.38-19 100. 8.26-91 106. 17. 56-76 106. 32. 45-91 109. 49. 11-49 110. 4. 9-39 110. 9.22-80 110. 24. 27-79 104.51.22-89 105. 6.51-33 101.13. 1-69 101.28.38-71 41-98 42-00 42-14 42-15 42-18 42-21 42-24 42-29 42-30 Moon's TJ. L. . . . a Arietis. . 59-0 51-0 47-0 47-0 44-0 54-0 63-0 62-0 54-0 72-0 70-0 70-0 66-0 71-0 65-0 60-0 58-0 59-0 59-0 58-0 57-0 62-5 52-0 57-0 61-0 62-0 53-0 51-0 55-0 63-0 55-0 a Coronas Borealis a Serpentis a Ophinchi Moon's U. L. . . . Moon's U. L Arcturus Regulus Moon's U. L. . . . Arcturus Moon's U. L. . . . a, Herculis a Ophiuchi Moon's U. L. . . . Moon's U. L. ... Moon's U. L. . . . P Tauri 23. 2. 7 43. 4.32 63. 30. 53 28.53.46 35. 20. 40 38.45.21 Moon's U. L. . . . Aldebaran The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. For the Quadrant Observation on July 12, the N. P. D. is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Heading. 90 - p = 38. 31'. 23" -98: q = 8'''65. GKKSNWICH LUNAR REDUCTIONS. 2(L) (258) EEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter Ther- mo- meter Refrac- tion. Seconds of I Star's Tabular! N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquit) of Ecliptic. 23.27'. 1813. July 17 18 22 Aug. 3 7 9 10 11 12 13 Moon's U. L. . . . Aldebaran o / // 97. 42. 37-47 73.52. 0-42 61. 33. 28-22 69. 49. 37-70 82. 57. 37-47 77.16.42-88 92. 55. 13-00 82. 57. 37-40 77. 16. 42-95 81.35.54-33 74. 27. 52-30 69. 49. 37-50 99. 5. 19-40 51.22.30-70 81. 35. 52-50 69. 49. 36-67 82. 57. 36-42 110. 11.31-53 81.35.51-32 75.22. 17-73 77. 16. 39-90 51. 22. 28-90 110.39.42-50 75. 22. 17-13 77. 16.38-12 81. 35. 49-40 109. 16. 58-52 68. 18. 49-20 O ft! 59.11.15 35. 20. 38 23. 2. 6 '31. 18. 16 44. 26. 15 38. 45. 21 54.23.51 44. 26. 15 38. 45. 21 43. 4.32 35. 56. 30 31.18.16 60. 33. 57 12.51. 9 43. 4.31 31.18. 15 44.26. 14 71.40.10 43. 4.29 36. 50. 56 38. 45. 18 12.51. 7 72. 8.21 36. 50. 55 38. 45. 16 43. 4. 27 70. 45. 37 36. 50. 57 38. 45. 19, 43. 4. 29, 64. 54. 25 38. 45. 17 43. 4.28 60. 42. 38 in. 29-86 29-86 29-86 29-85 29-85 29-85 29-75 29-54 29-54 29-54 29-50 29-76 29-76 29-76 29-74 29-93 29-93 29-93 29-95 30-02 30-02 30-02 30-05 30-10 30-10 30-10 30-10 30-06 29-95 29-95 29-95 29-95 30-07 30-10 30-11 o 51-0 64-0 63-0 67-0 60-0 65-0 48-0 62-0 60-0 56-0 64-0 67-0 67-0 64-0 62-0 68-0 67-0 61-0 57-0 61-0 61-0 61-0 59-0 61-0 61-0 59-0 59-0 00-5 67-0 67-0 63-0 60-0 63-0 58-0 54-0 / // 1. 36-77 0. 39-98 0. 24-03 0. 34-08 0. 55-68 0. 46-06 1. 20-89 0. 54-88 0.45-13 0. 52-97 0. 40-38 0. 33-97 1. 38-67 0. 12-83 0. 52-69 0.34-10 0. 55-06 2. 49-83 0. 53-59 0. 42-73 0.45-77 0. 13-02 2.55-91 0. 42-84 0. 45-89 0. 53-65 2. 42-95 2. 22-72 0.42-13 0.45-12 0. 52-96 2. 1-13 0. 45-66 0. 53-76 1.43-07 ft 42-07 53-16 14-45 35-57 31-44 / i . . + 0. 1-67 + 0. 0-91 +0. 2-67 + 0. 2-42 + 0. 2-50 + 0. 2-99 + 0. 2-82 + 0. 2-31 + 0. 2-52 * + 0. 2-04 + 0. 2-55 + 0. 3-17 + 0. 2-77 + 0. 2-24 + 0. 3-03 + 0. 3-15 + 0. 2-34 + 0. 3-45 + 0. 4-73 +0. 3-71 + 0. 2-32 + 0. 2-94 + 0. 2-95 + 0. 3-51 + 0. 2-62 / a 57. 40-61 58.11-49 59. 48-30 54. 28-83 54. 41-54 55. 38-46 56. 13-13 56. 48-68 57. 23-14 57. 54-42 / // 49. 21-04 47. 7-07 34. 52-92 47. 16-52 51. 46-06 52. 48-52 52. 55-39 52. 37-62 51. 47-82 50. 19-28 it 12-04 13-01 9-86 + 10-07 + 3-32 - 2-32 - 5-23 7'93 10-16 11-87 O 1 " 96. 54. 42-90 97. 10. 28-51 92. 9. 16-34 92. 25. 10-36 73. 53. 32-61 74. 9.53-08 98. 19. 33-85 98.34.27-10 109.22.34-71 109. 37. 31-41 109. 49. 55-05 110. 5. 7-30 108. 26. 55-27 108. 42. 16-97 106. 0. 8-59 106. 15. 40-66 102. 35. 52-70 102. 51. 33-52 98. 25. 14-34 98.41. 3-69 g 42-32 42-35 42-43 42-70 42-80 42-86 42-88 42-91 42-93 42-95 @ Tauri Arcturus * Serpentis Moon's TJ. L. . . . a Serpentis 35-27 30-90 49-61 13-99 45-57 47-74 13-94 34-25 47-15 3-49 28-82 44-26 3-42 28-74 46-76 3-25 28-56 46-51 28-47 46-38 a, Ophiuchi a Aquilae Moon's U. L. . . . Arcturus Moon's U. L . a Lyrae a Aquilae Arcturus x Serpentis . . . Moon's U. L. . . . a Herculis a Ophiuchi. . . . Moon's U. L. . . . Herculis a Ophiuchi a A <|uil;i' Moon's U. L. . . . Moon's U. L. . . . a Herculis Circle Reading. 75. 22. 18-80 77. 16. 40-50 81. 35. 50-60 103. 25. 46-80 77. 16. 39-30 81. 35. 50-00 99. 14. 0-00 a Aquilae Moon's U. L. . . . a Aquilae Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. For the Quadrant Observation on August 11, the N.P.D. is formed by adding Olufsen's 90 pand q cos. N.P.D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" -98 : q = &'-(>5. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (259) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Squatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L Tabular Obliquity of Ecliptic. or L. L., and of Center, at Transit of !L.or2L. 23. 27'. 1813. Aug. 13 17 18 Sep. 4 5 6 7 8 9 10 11 Orionis O / /' 82. 37. 22-40 77. 16.38-75 81.35. 50-90 79.41.16-25 84. 17. 21-75 75. 22. 17-60 75.35. 9-80 61.33.28-05 82. 37. 21-90 77. 16. 38-60 111.19. 0-00 51.22.25-60 81.35.48-55 75.22.17-90 77. 16. 38-65 111.28.59-60 81. 35. 47-35 75. 22. 18-40 77. 16.38-20 110.35. 6-CO 84. 17. 20-70 69. 49. 39-55 81.35.47-60 108.35.45-90 84. 17. 19-55 81. 35. 47-10 105. 33. 55-80 51. 22. 23-50 81. 35. 47-60 101. 37. 20-40 75. 46. 49-75 81. 35. 45-90 96.57.54-10 84. 17. 18-70 82. 57. 34-10 / II 44. 6. 38 45 17 in. 30-12 29-83 29-83 29-80 29-84 29-85 30-03 30-03 30-03 29-63 29-63 29-63 29-63 29-55 29-55 29-63 29-53 29-25 29-25 29-25 29-34 29-40 29-40 29-40 29-53 29-65 29-65 29-90 29-90 30-00 30-00 30-15 30-16 30-16 30-10 59-0 63-0 58-0 55-0 68-0 60-0 54-0 55-0 57-0 60-0 59-0 59-0 58-0 59-0 69-0 54-0 54-0 55-0 55-0 51-0 55-0 61-0 50-0 48-0 48-0 47-0 46-0 51-0 50-0 48-0 47-0 54-0 51-0 57-0 65-0 i it 0. 55-64 0. 45-29 0. 53-27 0. 50-08 0.57-38 0. 42-57 0. 43-69 0. 24-56 0. 55-69 0. 45-26 3. 0-31 0. 12-90 0. 52-92 0. 42-23 0. 45-23 3. 3-41 0. 53-16 0.42-14 0.45-13 2. 53-28 0. 57-90 0. 33-97 0. 53-36 2. 36-85 0.59-11 0. 54-15 2. 16-25 0. 13-23 0. 54-27 1. 54-48 0. 44-59 0. 54-28 1. 34-93 0. 59-27 0. 55-59 a 19-17 28-13 45-87 21-80 2-78 52-38 18-74 27-20 40-13 44-15 2-01 27-16 44-07 1-99 27-13 21-09 15-38 43-92 21-08 43-86 39-64 43-80 38-r 43-75 21-07 33-78 / a + 0. 1-13 + 0. 4-09 + 0. 1-70 + 0. 2-67 + 0. 2-61 0. 0-23 + 0. 1-15 + 0. 3-34 + 0. 1-63 + 0. 2-68 + 0. 1-88 + 0. 3-28 + 0. 3-56 + 0. 1-45 -r-0. 3-80 + 0. 2-49 + 0. 1-86 + 0. 2-96 + 0. 2-42 + 0. 2-61 + 0. 2-91 + 0. 1-93 + 0. 3-83 + 0. 3-57 + 0. 3-10 + 0. 4-09 r it 59. 10-19 59. 16-32 54.48-12 55. 19-28 55. 57-81 56.41-12 57. 26- OC 58. 8-90 58. 46-13 / if 38. 43-93 35. 30-29 52. 12-38 52. 44-93 53. 5-69 53. 8-21 52. 43-26 51.40-86 49. 53-46 it -12-39 -10-43 + 1-77 1-05 - 3-99 6-86 9-42 11-56 -13-12 ' 79. 3. 12-83 79. 19. 22-89 75. 0. 13-95 75. 16. 25-68 110.29.48-71 110. 14.50-24 110.39.22-05 110.24.15-06 109.45. 0-76 109. 29. 43-25 107.45.23-81 107. 29. 54-47 104. 43. 40-53 104. 27. 58-91 100. 47. 48-47 100. 31. 55-16 96. 9.26-04 95. 53. 22-55 a 43-05 43-08 43-42 43-44 43-46 43-47 43-49 43-50 43-51 & Ophiuclii . . . 43. 4.29 41. 9.54 45.46. 36. 50. 56 37. 3.48 23. 2. 6 44. 6. 38 45 17 Moon's U. L. . . . a Herculis Moon's U. L. . . . & Tauri a. Ophiuchi . . Moon's L. L. ... 72. 47. 38 12.51. 4 43. 4.27 36 50 56 a Ophiuchi 38.45.17 72. 57. 38 43. 4.25 36. 50. 56 38. 45. 16 72. 3.44 45. 45. 59 31. 18.18 43. 4.26 70. 4.24 45. 45. 58 43. 4.25 67. 2.34 12.51. 2 43. 4.26 63. 5.58 37. 15. 28 43. 4.24 58. 26. 32 45. 45. 57 44. 26. 12 Moon's L. L. ... Z II 82. 37. 34-50 84.17.39-15 69. 10. 22-20 77. 7. 4-30 82.37.32-75 84. 17. 38-90 01. 31.47-10 70. 58. 37-80 73. 52. 0-00 61.31.47-10 77. 7. 3-90 77.57.32-10 84.17.40-00 61.31.48-80 77. 7. 5-25 82. 3-2. 49-00 84. 17. 39-60 61.31.47-20 77. 7. 3-40 97.11.23-60 73.52. 0-90 82. 37. 34-30 84. 17.38-90 108. 54. 34-00 73.52. 0-50 61. 31. 47-25 77. 7. 2-80 111. 7. 0-10 84. 17. 39-20 77. 7. 3-15 87. 10. 17-10 111.53. 6-40 77. 7. 12-85 85. 39. 51 -00 77. 7.12-80 87. 10. 27-55 ' II 44. 6. 9 45. 46. 13 30. 38. 56 38. 35. 38 44. 6. 7 45. 46. 13 23. 0.21 32. 27. 12 35. 20. 34 23. 0.21 38. 35. 38 39.26. 6 45. 46. 14 23. 0.23 38. 35. 39 44. 1.23 45. 46. 14 23. 0.21 38. 35. 37 58. 39. 58 35. 20. 35 44. 6. 8 45. 46. 13 70.23. 8 35. 20. 35 23. 0.21 38. 35. 37 72. 35. 34 45. 46. 13 38. 35. 37 48.38.51 73.21.40 38. 35. 36 47. 8. 14 38. 35. 36 18. 38. 51 in. 29-50 29-53 29-53 29-53 29-80 29-82 29-82 29-82 29-58 29-58 29-49 29-45 29-30 29-30 29-32 29-32 29-70 29-70 29-73 29-80 30-17 30-17 30-17 30-14 30-10 30-07 30-07 30-02 29-97 29-97 29-97 29-90 29-95 30-04 30-05 30-05 49-0 44-0 44-0 43-0 55-0 47-0 47-0 45-0 53'0 48-0 44-0 44-0 48-0 48-0 45-0 43-0 49-0 49-0 45-0 43-0 56-0 54-0 49-0 37-0 57-0 50-0 44-0 37-0 52-0 45-0 43-0 38-0 43-0 49-0 52-0 48-0 / // 0. 55-61 0. 59-61 0.34-41 0. 46-43 0. 55-50 0. 59-82 0.25-15 0. 37-22 0. 40-49 0. 24-56 0. 46-27 0. 47-61 0. 58-66 0. 24"27 0.45-91 0. 55-81 0. 59-34 0. 24-55 0. 46-55 1.36-20 0. 41-05 0. 56'30 1. 0-28 2. 47-33 0. 40-87 0.24-81 0.47-18 3. 8-97 0. 59-51 0. 46-93 1. 7-03 3. 16-81 0. 47-09 1. 2-95 0. 46-39 1. 6-53 II 2625 36-54 48-42 26-27 36-54 7-18 37-28 7-10 48-2(5 36-48 7-05 48-21 36-42 6-93 48-04 37-36 26-04 36-35 37-37 6-76 47-81 36-31 4775 22- 12 46-73 46-34 21-27 / g 0. 3-86 0. 2-22 -0. 2-31 0. 1-98 0. 2-18 0. 5-07 0. 3-21 0. 4-56 0. 1-91 0. 2-18 0. 6-02 0. 2-95 0. 2-52 0. 4-82 0. 1-91 0. 4-59 0. 4-56 -0. 2-83 0. 4-00 0. 5-30 -0. 2-17 0. 2-40 0. 2-33 0. 2-01 0. 13-21 0. 12-85 0. 12-81 i a 58.58-31 58.40-10 57. 52-53 57. 23-64 55.46-01 54. 27-67 54. 14-68 54.11-18 56. 40-09 / // 29. 50-58 31. 15-86 36. 33-07 39. 40-78 47. 27-21 51. 9-22 51.37-15 51. 46-45 41.20-21 // + 3-17 + 6-80 + 11-39 + 12-45 + 11-90 + 7-05 + 4-65 + 2-03 + 12-57 O / a 68.41. 0-06 68.57. 6-87 70. 27. 49-27 70.43.51-11 77.21.32-02 77. 37. 20-88 81.53.47-86 82. 9.28-81 96.25.41-41 96. 40. 55-70 108. 6.15-17 107.51.22-28 110.18.32-75 110. 3.43-41 111. 4.36-54 111. 19. 24-92 84.59. 8-21 85. 14. 37-27 n 44-71 44-70 44-71 44-70 44-68 44-67 44-67 44-66 44-45 Moon's U. L. . . . Pollux Moon's U. L Aldebaran Pollux Regulus Moon's U. L. . . . Procyon Pollux Moon's TJ. L. . . . Procyon Pollux Regulus ....... Moon's U. L. . . . Aldebaran a Orionis Procyon Moon's L. L. ... Aldebaran Pollux Regulus Moon's L. L. ... Procyon Regulus /3 Virginis Moon's U. L. . . . Regulus Moon's U. L. . . . Regulus Virginis . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (267) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. t4- * "5 . 1?S Jiz VI Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of !L.or2L. Tabular Obliquity of Ecliptic. 23. 27'. 1814. May 2 3 4 6 7 11 25 27 28 29 June 8 9 24 25 Moon's TJ. L. . . . Regulns O ' /' 95. 26. 57-50 77. 7. 13-20 87.10.27-10 99. 59. 55-90 77. 7.14-10 77. 7.13-60 87. 10. 29-90 110. 3.40-30 87. 10. 29-50 84. 17. 47-30 61. 31. 56-90 87. 10. 27-00 108. 14. 50-40 74. 59. 19-80 87. 10. 28-25 69.50.18-40 84. 17.49-10 77. 7.13-10 84. 0.41-00 69. 50. 18-00 77. 7.12-60 87. 10. 29-20 93. 49. 50-50 69. 50. 15-75 106. 27. 17-05 77. 7.10-35 87. 10.27-10 62. 38. 49-60 82.58. 5-10 92. 11. 0-00 69. 50. 13-90 o / // 56. 55. 21 38. 35. 36 48.38.50 61.28.19 38. 35. 37 38. 35. 37 48. 38. 53 71.32. 3 48. 38. 53 45. 46. 10 23. 0.20 48. 38. 50 69. 43. 13 36. 27. 43 48. 38. 51 31.18.41 45.46. 12 38. 35. 36 45.29. 4 31.18.41 38. 35. 36 48. 38. 52 55. 18. 14 31.18.39 67. 55. 40 38. 35. 33 48. 38. 50 24. 7.13 44. 26. 28 53. 39. 23 31.18.37 in. 30-04 29-85 29-85 29-82 29-67 29-42 29-42 29-53 29-90 30-32 30-32 30-34 30-30 29-75 29-75 29-77 29-78 29-75 29-74 29-74 29-55 29-80 29-80 29-85 29-85 30-00 30-00 30-26 30-26 30-15 30-15 o 45-0 48-0 45-0 42-0 43-0 54-0 54-0 45-0 53-0 50-0 50-0 40-0 40-0 49-0 48-0 40-0 59-0 56-0 51-0 46-0 64-0 60-0 55-0 50-0 42-0 60-0 59-0 48-0 48-0 56-0 54-0 / // 1. 30-30 0. 46-45 1. 6-49 1. 47-95 0. 46-63 0. 45-23 1. 4-33 2.51-83 1. 5-51 1. 0-45 0. 25-01 1. 8-28 2.41-32 0.42-78 1. 5-85 0. 35-91 0. 58-31 0. 45-55 0. 58-59 0. 35-43 0. 44-52 1. 4-38 1.22-59 0. 35-27 2.24-41 0. 45-56 1. 4-94 0. 26-43 0. 57-84 1. 18-50 0. 35-33 It 46-29 21-22 46-22 46-09 21-06 21-00 35-01 6-27 20-79 * 19-96 39-81 34-03 44-82 39-51 44-77 19-71 37-77 44-15 19-00 3-24 51-19 35-72 / // 0. 13 36 0. 12-37 0, 14-51 0. 12-74 0. 13-17 0. 14-01 0. 12-74 0. 15-64 0. 14-49 0. 14-14 0. 14-50 0. 13-38 0. 13-63 0. 13-92 0. 12-35 0. 13-87 0. 13-25 0. 11-76 0. 13-04 0. 12-79 0.11-75 0. 13-51 r it 55. 39-31 55. 12-61 64. 14-32 55. 1-88 58. 29-31 56. 56-13 55. 39-86 54. 58-74 56. 9-02 / // 46.27-17 48. 20-04 51. 17-87 51. 27-95 34. 32-60 40. 23-73 45. 34-85 50. 47-47 45. 2-30 g + 12-14 + 11-23 + 5-70 7-39 + 10-62 + 12-57 + 12-30 - 8-56 + 12-64 o ' 94.41. 35-64 94.56.48-10 99.12.59-17 99. 28. 4-34 109. 15. 6-65 109. 29. 55-90 107. 25. 42-09 107. 40. 44-33 74.25. 5-04 74.41. 3-94 83. 20. 49-65 83. 36. 23-09 93. 5. 12 83 93. 20. 25-44 105. 38. 32-76 105.53.34-13 91. 26. 50-88 91.42.11-46 II 44-42 44-41 44-37 44-31 44-15 44-14 44-12 44-08 44-14 j9 Virejinis Moon's U. L. . . . Regulus Moon's U. L Pollux Moon's U. L. . . . Moon's U. L. . . . (3 Virginis Moon's U. L /3 Virginis Moon's U. L. . . . Arcturus Moon's U. L. . . . Regulus a Coronas Borealis a Serpentis Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 2 (M) 2 (268) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, nnd Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tubular N.P.D. Correction for Index Error. Tabular Horizontal Eqnatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L.or2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1814. June 28 30 July 1 2 3 5 6 7 10 11 24 Oil (59.50. 13-75 02. 38. 49-20 105. 13. 49-10 69. 50. 14-00 82. 58. 9-20 75. 22. 45-80 110.45.29-10 62. 38. 50-00 82. 58. 7-40 75. 22. 44-60 112.10. 0-40 69. 50. 13-90 82.58. 7-50 75. 22. 43-25 112. 32. 58-60 62. 38. 50-40 82.58. 6-70 75. 22. 43-50 111.52.52-50 82.68. 8-30 75. 22. 43-75 107.33.27-10 77. 7. 11-10 69. 50. 14-00 82.58. 7-40 104. 6. 18-50 77. 7. 11-25 69. 50. 13-00 82.58. 7-40 75. 22. 43-60 85. 10.41-70 82.58. 6-30 75. 22. 44-00 77. 17. 4-60 80. 7.55-40 69.50.13-00 99. 53. 29-50 o / 31. 18. 37 24. 7. 12 66. 42. 12 31.18.37 44. 26. 32 36.51. 9 72. 13.52 24. 7. 13 ;44. 26. 30 36. 51. 8 73. 38. 23 31.18.37 44. 26. 31 36.51. 6 74. 1.22 24. 7. 13 44. 26. 30 36.51. 7 73.21.16 44.26.31 30.51. 7 69. 1.50 38. 35. 34 31.18.37 44. 26. 30 65. 34. 42 38. 35. 34 31. 18. 36 44. 26. 30 36.51. 7 46.39. 5 44. 26. 29 36.51. 7 38. 45. 28 41.36. 18 31.18.36 61.21.53 in. 29-85 29-85 29-85 29-85 29-86 29-85 29-85 29-80 29-80 [29-80 29-83 29-92 29-9-2 29-92 29-92 29-95 29-95 29-95 29-9(i 3000 30-00 30-00 30-00 29-96 29-96 29-91 29-84 29-74 29-74 29-76 29-85 29-94 29-94 29-94 30-05 30-02 30-02 o 62-0 62-0 58-0 63-0 59-0 57-0 57-0 57-0 57-0 54-0 53-0 62-0 57-0 54-0 51-0 61-0 61-0 58-0 55-0 66-0 61-0 54-0 72-0 68-0 65-0 53-0 74-0 63-0 61-0 55-0 63-0 61-0 58-0 58-0 59-0 74-0 71-0 1' ' 0. 34-42 0. 25-34 2. 11-69 0. 34-36 0. 55-80 0. 42-84 2. 56-40 0. 25-56 0. 55-93 0. 43-02 3. 18-11 0.34-51 0. 56-15 0. 43-20 3. 19-80 0. 25-48 0. 55-76 0. 42-89 3. 10-24 0. 55-30 0. 42-71 2. 29-68 0. 44-49 0. 34-14 0. 55-34 2. 6-49 0. 44 08 0. 34-23 0. 55-37 0. 42-88 0. 59-78 0. 55-74 0. 42-88 0. 45-93 0. 50-87 0.33-81 1. 42-02 U 35-40 2-64 * 35-2-2 50-53 15-83 2-07 50-43 15-67 35-05 50-33 15-50 1 77 50-22 15-33 50-02 15-01 43-11 34-71 4992 43-09 34-39 49-53 14-20 49-44 14-05 38-09 33-66 / tr 0. 12-77 0. 12-00 -0. 13-14 14-47 0.12-81 0. 13-49 0. 12-90 0. 11-95 0. 13-36 -0. 13-32 0. 10-95 -0 14-11 0. 12-24 0. 11-06 0. 13-58 0. 11-45 0. 1-2-48 0. 13-43 0. 12-82 0. 12-24 -0.12-84 -0. 13-24 0. 12-28 0. 12-60 0. 12-83' 0. 12-44 -0.13-15 / a 54. 29-84 54. 1-14 53. 56-47 53. 57-90 54. 5-09 54. 37-68 55. 4-02 57.57-10 58.51-57 55. 29-04 / // 49. 53-63 51.17-75 51. 36-89 51. 44-33 51.40-49 50. 51-29 49. 58-55 41.56-18 38.52-12 48. 31-39 + 9-27 + 5-02 + 2-39 0-41 - 3-14 7-82 - 9-67 13-70 13-44 + 11-42 O ' > 104. 25. 45-50 104. 40. 38-99 109. 56. 49-26 110.11.34-90 111.21.26-45 111.36. 10-82 111.44.21-12 111.59. 5-87 111. 4. 6-64 111.18.53-36 106.44.45-17 106. 59. 40-79 103. 18. 3-94 103.33. 6-76 84. 29. 18-81 84.45. 8-90 79. 29. 28-09 79. 45. 33-06 99. 6. 15-82 99.21.25-47 t 44-17 44-19 44-21 44-23 44-24 44-27 44-28 44-35 44-37 44-63 aCoronae Borealis Moon's U. L. . . . Moon's U. L. ... a Cororiae Borealis Moon's U. L. . . . Arclurus a Serpentis a Herculis Moon's U. L. . . . a Corona; Borealis a Serpentis a Herculis Moon's U. L. ... a Serpentis a. Herculis Moon's 1). L. ... Reujulus Arcturus a. Serpentis Moon's U. L. ... a Herculis Moon's U. L a Serpentis .... a Herculis a Ophiuchi Moon's U. L. ... Arcturns Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passhge of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAH DISTANCE. (269) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. ; Baro- meter. Ther- mo- netcr. Refrac- tion. Seconds of 1 Star's THbularl N.P.D. Correction for Index Error. Tabular 3ori7,ontal quatoreal Parallax. Parallax. ncrease of Moon's N.l'.l). during the 'assage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., imd of Center, at Transit of 1 L. or 2 L. Tabular uliquity of Ecliptic. 3. 27'. 1814. July 24 25 2G 27 28 29 30 31 Aug. 1 3 4 6 o / u 82.59. 6-40 75.22.42-10 C9. 50. 14-40 103.59.32-10 82. 68. 7'90 77. 17. 3-50 8-2.58. 6-60 107. 25. 44-40 75. 22. 43-30 77. 17. 4-00 69. 50. 13-40 110. 4.13-60 75.22.43-10 77. 17. 3-90 69. 50. 14-50 75. 22. 42-90 77.17. 2-90 112.31.59-10 82.59. 7-00 75.22.41-20 77.17. 2-10 112. 42. 13-50 75.22.41-70 77. 17. 2-00 81.36. 0-70 111.20.25-40 69.50. 14-40 82. 58. 5-90 77. 17. 2-40 108.59. 6-60 101. 17-21-75 82.58. 5-70 75.22.41-25 77. 17. 1-90 82.58. 6-00 75.22.41-80 O ' II 44. 26. 29: 36.51. 5 31. 18.37 65. 27. 55 44. 26. 31 38 45. 27 44. 26. 30 68.54. 7 36.51. 6 38. 45. 27 31.18.36 71. 32. 37 36. 51. 6 38. 45. 27 31.18.38 36. 51. 6 38. 45. 26 74. 0.22 44. 26. 30 36.51. 4 38. 45. 25 74. 10. 42 36.51. 5 38. 45. 25 43. 4. 24 72. 48. 48 31.18.37 44. 26. 29 38. 45. 25 70. 27. 30 62. 45. 45 44. 26. 29 36.51. 4 38. 45. 25 44 26 29 in. 29-98 29-97 29-75 29-75 29-75 29-74 29-82 29'87 29-87 29-87 29-95 29-93 29-93 29-93 29-79 29-80 29-80 29-80 30-00 30-00 30-00 30-02 29-91 29-91 29-91 29-90 29-85 29-85 29-85 29-93 30-00 30-05 29-97 29-97 29-60 29-66 o 67-0 63-0 76-0 76-0 76-0 68-0 74-0 70-0 68-0 67-0 74-0 66-0 66-0 66-0 87-0 61-0 61-0 58-0 69-0 64-0 64-0 59-0 65-0 65-( 59-0 59-< 73-0 68-( 63-0 56-0 54-0 66-0 62-0 60-0 65-( 61-0 / // 0. 55-15 0. 42-49 0. 33-37 1.59-53 0. 53-77 0.44-72 0. 54-11 2. 23-34 0. 41-93 0. 45-00 0. 33-73 2. 46-91 0.42-19 0.45-18 0. 32-72 0. 42-42 0. 45-44 3. 15-94 0. 54-97 0.42-45 0. 45-47 3. 19-17 0. 42-24 0. 45-24 0. 53-2! 3. 2-1S 0. 33 68 0.54-81 0. 45-33 2.40-36 1.51-83 0. 55-39 0. 42-58 0. 45-79 0. 54-78 0. 42-2'- a 48-39 12-23 33-62 48-31 36-11 48-24 11-97 35-98 33-56 11-84 35-84 33-52 11-60 35-60 47-98 11-49 35-50 11-39 35-38 42-10 33-47 47-87 35-27 47-70 10-96 34-95 47-65 10-86 / // 0. 13-16 -0. 12-36 0. 14-15 0. 13-36 0. 12-11 0. 12-47 0. 13-26 0. 13-02 -0. 13-57 13-45 / it 54. 53-04 54. 26-56 54. 9-52 54. 0-71 54. 6-71 54. 18-7( 54. 35-81 55. 23-72 1 H 49. 45-84 50. 38-26 51. 13-48 51.46-75 51. 55-46 51.44-75 51. 18-23 49. 4-9-2 ii + 9-93 + 8-10 + 5-85 + 0-53 - 2-26 4-89 7-25 10-80 O 1 II 103.11.22-65 103. 26. 22-46 106.37. 8-46 106.52. 1-05 109.15.27-76 109. 30. 15-69 111.43. 14-37 111.57.59-90 111.53.31-73 111.38.44-57 110.31.35-62 110.16.45-16 108.10. 8-18 107. 65. 13-07 100. 29. 44-86 100. 44. 53-06 44-66 44-68 44-71 44-76 4479 44-81 44-84 44-89 Moon's U. L a. Serpentis a. Ophiuchi a Serpentis. . . . . Moon's U. Lf . . . x Ophiuchi Arcturus Moon's U. L. ... a Herculis ..... a Ophiuchi 0. 13-24 -0. 13-70 0. 13-72 0. 12-74 0. 13-99 0.12-16 0. 12-07 0. 12-55 0. 11-86 0.11-89 0. 14-61 0. 12-84 0. 12-46 0. 13-39 0. 12-87 0. 12-74 0. 13-13 0. 13-16 Arcturus a. Herculis a, Ophiuchi Moon's (J. L. . .. a Serpentis a, Herculis ... . a. Ophiuohi Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... Moon's U. L. . . . a Serpentis a Herculis a Ophiuchi 36.51. 5 The Moon's U. L. or L. L. was usually ol/served when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed witli the Transit. (270) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular 1 N. P. D. Correction for Index Error. Tabular i-iori/oiitHl Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1814. Aug. 5 8 26 28 29 Sep. 1 2 3 4 20 / II 77. 17. 2-10 91.5-2. 35'60 75.22.41-10 77.17. 1-60 77. 7.21-20 82.58. 4-60 113. 0.18-80 81. 35. 58-10 103. 2. 32-90 103. 4.49-00 79.49. 2-50 84. 2. 0-20 103. 2.30-40 109.56.58-10 81.35.56-75 103. 2.30-65 103. 4.47-55 106. 58. 10-90 81.35.56-30 84. 1.69-60 93. 21. 13-75 84. 17. 40-40 82.58. 6-30 77.16.59-10 81.35.56-75 88. 14. 39-40 51.22.41-50 81. 35. 56-20 83. 8.44-30 84. 17. 40-90 81.35.57-20 78.19.51-90 84.17.40-40 69. 50. 17-00 62.38.49-85 O r ft 38. 45. 25 53. 20. 59 36.51. 4 38. 45. 25 38. 35. 44 44. 26. 28 74. 28. 42 43. 4.21 64. 30. 56 64. 33. 12 41.17.26 45. 30. 23 64. 30. 53 71.25.21 43. 4.20 64. 30. 54 64. 33. 11 68. 26. 34 43. 4. 19 45. 30. 23 in. 29-66 29-66 29-62 29-62 29-82 29-95 29-82 29-82 29-8-2 29-82 29-97 29-97 30-00 30-00 30-07 30-10 30-10 30-10 30-30 30-30 30-28 30-25 30-20 30-18 30-18 30-18 30-22 30-22 30-22 30-24 30-22 30-17 30-17 30-00 30-00 o 61-0 57-0 59-0 59-0 55-0 61-0 54-0 55-( 54-0 54-0 54-0 54-0 51-0 50-0 58-0 56-0 56-0 54-0 54-0 54-0 49-0 63-0 63-0 58-0 52-0 49-0 54-0 52-0 44-0 54-0 54-0 46-0 52-0 75-0 75-0 / H 0.45-23 1. 16-21 0.42-33 0. 45-34 0. 45-75 0. 55-76 3. 23-86 0. 53-58 1. 59-96 2. 0-16 0. 50-69 0. 58-73 2. 1-42 2. 51-67 0. 53-70 2. 0-57 2. 0-80 2. 25-74 0. 54-55 0. 59-37 1. 23-47 0. 58-74 0. 56-00 0. 46-29 0. 54-56 1. 9-23 0. 13-29 0. 54-62 0.58-60 0. 59-80 0. 54-40 0. 49-2'2 0. 59-90 0. 33-72 0. 24-83 it 34-84 10-56 34-52 47'46 38-84 18-07 36-13 41-06 46-35 18-06 38-56 18-07 36-13 38-31 46-07 27-05 46-99 32-91 38-22 40-13 38-15 26-99 38-07 26-96 36-40 59-83 / // 0. 12-49 0. 12-87 0. 12-42 0. 12-90 0. 12-84 0.14-79 0.13-03 -0.12-13 0. 12-58 0. 13-76 0.11-89 0.13-15 0. 12-22 0. 12-54 0. 12-90 0. 12-09 0. 14-31 0. 12-48 0. 13-09 0. 14-66 0. 12-67 0.13-71 0. 13-53 0. 13-34 0. 14-32 0. 14-85 i it 56. 29-08 58. 34-04 54. 10-27 54. 39-56 55. 2-60 56. 28-84 57. 0-11 57.31-41 58. 2-48 / // 45. 7-55 36. 19-24 52. 3-52 51. 39-93 51. 2-35 45. 58-77 43. 17-20 40.11-88 36. 56-65 tr 12-88 12-22 1-33 - 6-58 8-75 12-90 13-39 13-28 12-45 O I II 91. 8.18-35 91. 23. 44-40 76. 31. 22-76 76. 47. 22-95 112. 11.26-91 111.56.38-77 109. 8. 3-60 108.53. 7-46 106. 9. 30-62 105.54.28-19 92. 36. 13-04 92. 51. 39-03 87.32. 4-75 87. 47. 39-28 82.29. 4-06 82.44.47-14 77.43.18-49 77. 59. 10-04 '/ 44-94 45-03 45-46 45-51 45-53 45-59 45-61 45-63 45-65 Moon's U. L. . . . Moon's U. L. . . . a Serpentis Moon's L. L. ... a Aquilae a 1 Capricorn! . . . a 2 Capricorni . . . a 1 Capricorni . . . Moon's L. L. ... a 1 Capricorni . . . a 2 Capricorni . . . Moon's L. L. ... Moon's U. L. . . . 54. 49. 37 45. 46. 3 44. 26. 28 38. 45. 22 43. 4.20 49.43. 2 12.51. 5 43. 4. 19 44.37. 7 45.46. 4 43. 4.20 39. 48. 15 45.46. 3 31. 18. 40 24. 7.13 a Aquilse Moon's U. L. . . . Moon's U. L. . . . Moon's U. L Procyon aCoronae Borealis The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb winch was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (211) Year, k Month, nnd Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Tlier- mo- neter. Refrac- tion. Seconds of 1 Star's Tabular N. P. 1). Correction for Index Error. Tabular Horizontal Rquatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1 1314. 1 Sep. 22 " 28 Oct. 1 2 3 4 5 6 7 8 21 23 a, Acjuihc O / II 81.35.56-30 108.22.29-60 77.17. 1-00 81. 35.57-50 45. 2-2. 30-25 95. 44. 50-60 69. 50. 18-40 75. 22. 39-60 81.35.55-10 79. 40. 45-50 75. 22. 39-40 75. 7. 8-30 77. 7. 13-50 69. 50. 16-10 77. 16. 59-00 81.35.55-10 71.25.23-00 77. 7.12-00 77. 17. 1-20 81. 35.56-00 68.54.54-10 77. 7. 14-80 69. 50.18-15 77. 17. 0-90 81. 35.56-90 68.23.57-00 68. 53. 53-60 81. 35. 55-50 70. 54. 49-50 69. 50. 18-40 69. 50. 20-70 81. 35.56-90 51. 22. 40-05 O ' II 43. 4. 19 69. 50. 53 38. 45. 24 43. 4.21 6. 50. 53 57. 13. 14 31.18.41 36.51. 3 43. 4.18 41. 9. 9 36.51. 2 36.35.31 38. 35. 37 31. 18. 39 38. 45. 22 43. 4. 18 32. 53. 46 38. 35. 35 38. 45. 24 43. 4. 19 30. 23. 17 38. 35. 38 31.18.41 38. 45. 24 43. 4.20 29. 52. 20 30. 22. 17 43. 4.19 32. 23. 13 31. 18.41 31.18.44 43. 4.20 12.51. 3 in. 29-70 29-75 29-80 29-86 29-90 29-00 29-97 29-94 29-96 30-00 30-04 30-07 30-14 30-15 30-15 30-15 30-18 30-18 30-14 30-12 30-02 30-00 29-97 2997 29-88 29-75 29-71 29-73 29-81 29-85 29-70 29-70 29-53 o 55-0 56-0 57-0 56-0 53-0 50-0 53-0 50-0 49-0 44-0 51-0 39-0 49-0 54-0 51-0 47-0 39-0 47-0 53-0 48-0 41-0 47-0 57-0 52-0 48-0 38-0 40-0 44-0 38-0 50-0 51-0 49-0 47-0 / a 0. 53-36 2. 34-27 0. 45-80 0. 53-54 0. 6-93 1. 29-97 0. 35-20 0. 43-58 0. 54-49 0. 51-54 0. 43-64 0. 44-35 0. 46-81 0. 35-33 0.46-91 0. 55-06 0. 38-79 0. 47-06 0. 46-70 0. 54-89 0. 34-84 0. 46-78 0. 34-91 0. 46-63 0. 54-46 0. 34-03 0. 34-53 0. 54-63 0. 37-65 0. 35-27 0. 35-02 0. 54-02 0. 13-17 n 37-10 32-96 36-9-2 23-32 38-01 9-60 36-90 9-66 46-03 38-34 33-20 36-88 46-14 33-25 3687 46-25 38-67 33-30 36-87 36-86 39-15 41-80 37-17 39-98 / // 0. 12-56 0. 13-84 0. 14-12 0. 13-86 0. 15-59 0. 13-58 0. 12-69 0. 13-38 0. 14-28 0. 13-09 0. 12-71 0. 13-28 0. 12-92 0. 14-65 0. 14-02 0. 15-33 0. 14-39 0. 14-13 0. 14-49 0. 13-27 0. 14-5-2 0. 13-92 0. 13-75 0. 13-24 / * 54. 58-74 56.40-15 58. 16-45 58. 39-35 58. 56-59 59. 8-44 59. 15-22 59. 17-07 59. 13-47 ' n 51. 27-76 47. 27-78 38. 8-20 34. 44-96 31.47-68 29.41-81 29. 17-59 29. 45-32 31.30-26 n 8-03 12-97 13-26 11-67 - 8-94 5-21 0-84 + 3-63 + 7-58 o / // 107. 33. 30-23 107. 18. 28-86 94.58.51-82 94. 43. 22-75 79. 3. 1-63 79. 18. 57-00 74. 32. 42-44 74. 48. 44-08 70. 53. 52-20 71. 9.58-54 68. 25. 27-25 68.41.36-84 67. 54. 58-26 67. 38. 46-83 68. 24. 32-64 68. 8.20-70 70. 23. 50-57 70. 7.39-62 * 45-89 45-90 45-90 45-91 45-90 45-90 45-91 45-90 45-90 Moon's L. L. ... a. Opliiuchi Moon's L. L. ... Arcturus Moon's U. L. a, Herculis Moon's U. L. ... Ileo'ulus Arcturus a. Ophiuchi a. Aquilae Moon's U. L. . . . a. Opliiuchi Aquilae Moon's U. L. . . . Regulus Arcturus a. Ophiuchi a, Aquihe Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. / (272) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular! N.P.D. Correction for Index Error. Tabular Horizontal Equate real Parallax. Parallax. Increase of Moon>8 N.P.0. during the Passage of Semi- diamttcr. Geocentric N. I'. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1814. o > n / ' In. o , // i t / u i n n 1 /' Oct. 23 45. 22. 27-05 6. 50. 51 29-5S 47-0 0. (5-93 21-090. 13-49 Moon's L. L. ... 106.40.28-40 68. 8.51 29-57 47-0 2.23-12 . . , . 55. 7-20 51. 0-32 9-18 105. 61. 46-78 105. 36. 43-08 45' 79 25 Moon's L. L. ... 98. 5. 5-75 59. 33. 29 29-15 40-0 1.38-07 . t .. 5(5. 27-84 48.30-17 -12-57 97.18. 12-45 97. 2.46-74 45-77 a, Andromedae . . 61.55.42-00 23.24. 5 29-15 40-0 0. 25-0-2 52-43 -0. 14 59 27 Moon's L. L. . . . 87. 36. 20-50 49. 4.44 29-75 43-0 1. 7-54 .. 57. 59-05 43. 36-83 -14-32 86. 53. 51-58 86.38. 0-96 45-74 28 45. 22. 27-20 6. 50. 50 29-80 45-0 0. 7-07 20-96 0. 13-31 Moon's L. L. ... 82. 15.34-40 43. 43. 57 29-80 40-0 0. 56-50 58. 39-68 40. 20-62 14-22 81.35.42-78 81. 19.41-05 45-73 29 Moon's U. L. . . . 76. 43. 41-80 38.12. 5 29-70 46-0 0. 46-76 . 59. 12-21 36. 23-75 13-06 76. 7.37-47 76. 23. 48-08 45-72 30 a, Lyras 51.22.41-70 12. 51. 5 29-85 47-0 0. 13-32 40-89 0. 14-13 a, Aquilae 81. 35.55-50 43. 4. 19 29-85 47-0 0.54-51 37-60 0. 12-41 a Cvsni. . 45. 22. 24-15 6. 50. 47 29-85 46-0 0. 7-02 20-98 0. 10-19 a Andromeda;. . . 61.55.40-40 23.24. 3 29-85 45-0 0. 25-36 51-87 0. 13-89 Moon's U. L. . . . 72. 29. 44-00 33.58. 7 29-85 44-0 0. 39-54 , , * 59.34-01 33. 3-70 -10-62 71.56.57-06 72. 13. 13-63 45-70 Nov. 18 A returns 69. 50. 27-50 31. 18. 51 29-37 44-0 0. 35-14 48-90 0. 13-74 19 a. Lyrae 51.22.44-50 12.51. 8 29-40 45-0 0. 13-17 44-59 0. 13-08 a Aquilae 81. 35. 58-60 43. 4. 22 29-40 43-0 0.54-14 39"24 0. 13-50 Moon's L. L. ... 108. 20. 12-20 69. 48. 35 29-40 41-0 2. 36-93 54. 32-82 51. 2-75 8-16 107.31.41-10 107.16.46-81 45-45 21 Moon's L. L. ... 100. 27. 28-90 61.55.52 29-52 32-0 1.51-24 .. 55. 43-03 48. 59-64 -11-67 99.40. 18-08 99.25. 4-60 45-42 * Andromedae. . . 61. 55. 37'70 23.24. 1 29-52 32-0 0. 25-77 50-27 0. 13-20 22 a. Aquilae 81. 35. 57-65 43. 4.21 29-61 31-0 0.55-91 39-55 0. 14-01 Andromedae. . . 61.55.39-20 23.24. 2 29-61 28-0 0. 26-07 50-22 0. 15-05 Moon's L. L. ... 95. 36. 51-90 57. 5.15 29-61 27-0 1. 33-03 , , . . 56. 31-43 47. 16-20 13-01 94.51. 7-71 94.35.41-02 45-.42 69. 50. 26-50 31. 18.50 29-57 29-0 0. 36-51 49-99 0. 13-02 23 75. 46. 43-05 37. 15. 6 29-61 34-0 0. 45-24 16-63 0. 11-66 a. Andromedae. . . 61.55.38-00 23.24. 1 29-61 33-0 0. 25-79 50-18 0.13-61 Moon's L. L. . . . 90. 23. 13-40 51.51.36 29-61 33-0 1. 15-78 , . * * 57. 25-48 44. 58-26 14-01 89. 39. 32-18 89. 23. 50-72 45-41 A returns 69. 50. 26-50 31.18. 50 29-75 29-0 0. 36-73 50-26 0. 12-97 29 a Peerasi . 75. 46. 46-20 37. 15. 9 29-30 44-0 0.43-81 16-88 0. 13-13 Andromedae. . . 61. 55. 40-35 23.24. 3 29-24 44-0 0. 24-89 50-03 -0.15-21 Moon's L. L. ... 67. 58. 45-50 29.27. 9 29-10 41-0 0. 32-52 . . . . 60. 35-18 29. 33-98 + 0-42 67. 29. 30-41 67. 12. 57-13 45-35 Arcturus 69. 50. 30-60 31. 18.54 29-10 40-0 0. 35-11 51-91 0. 13-80 The Moon's U. L. or L. L..was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (273) : Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal <]uatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1814. Dec.16 18 19 20 21 22 1815. Jan. 15 17 18 19 21 22 23 24 Feb. 17 a, Andromeda? . . / It 61.55.39-40 67. 24. 47-60 102.23. 9-20 81.36. 2-90 51. 22. 54-55 75. 46. 46-50 92. 54. 1-70 51.22.53-95 87. 41. 40-90 67. 24. 45-90 81.36. 2-60 75. 46. 46-60 61. 55. 33-50 82.27. 1-60 67. 24. 45-40 73.51.56-00 89. 43. 24-20 73. 51. 58-60 51.23. 3-10 79. 39. 25-60 44. 12. 19-10 61. 33. 25-90 71.22.11-20 68. 50. 59-60 51.23. 3-70 61.55.43-40 61. 33. 30-00 82.37.39-10 72.37. 2-00 73.52. 3-60 51.23.15-00 of/; 23.24. 2 28. 53. 11 63.51.32 43. 4.26 12. 51. 18 37. 15. 10 54. 22. 25 12. 51. 17 49.10. 4 28.53. 9 43. 4.26 37. 15. 10 23.24. 2 43. 55. 25 28.53. 7 35. 20. 18 51.11.46 35. 20. 21 12.51.25 41. 7.48 5. 40. 41 23. 1.48 32. 50. 33 30. 19. 22 12. 51. 26 23.24. 5 23. 1.52 44. 6. 1 34. 5.20 35. 20. 22 12. 51. 33 in. 29-58 29-68 29-77 29-64 30-00 30-00 29-98 29-90 29-75 29-75 29-56 29-54 29-54 29-44 30-20 30-22 30-26 30-26 29-83 29-70 29-70 29-70 29-76 29-76 29-60 29-50 29-50 29-50 29-74 29-74 30-22 o 46-0 46-0 54-0 53-0 39-0 35-0 33-0 36-0 35-0 35-0 35-0 32-0 32-0 32-0 30-0 27-0 35-0 35-0 29-0 27-0 24-0 24-0 29-0 29-0 18-0 25-0 26-0 26-0 42-0 42-0 36-0 / // 0. 25-08 0. 32-07 1. 56-34 0. 53-47 0. 13-61 0. 45-71 1. 24-03 0. 13-65 1. 8-91 0. 32-89 0. 55-35 0. 45-25 0. 25-79 0. 57-14 0. 33-74 0. 43-66 1. 15-30 0. 42-99 0. 13-82 0. 52-84 0. 6-05 0. 25-90 0. 38-99 0. 35-33 0. 14-04 0.26-14 0. 25-62 0. 58-35 0. 39-74 0. 41-64 0. 13-80 a 50-19 5-14 43-21 53-06 18-46 53-38 5-14 43-69 18-53 50-50 5-73 25-59 25-63 2-57 10-04 38-90 4-07 53-82 38-68 21-00 26-20 10-47 / // 0. 14-29 -0. 14-53 0. 13-16 0. 15-10 0. 13-75 0. 14-22 0. 13-65 0. 14-26 0. 13-32 0. 13-79 0.13-41 0. 14-07 0. 15-96 -0. 14-35 0.15-11 0. 12-90 0. 13-67 0. 15-72 0. 16-94 0. 16-45 0. 19-04 -0.18-33 / // 54. 53-36 56. 19-03 57. 14-27 58. 14-44 56. 6-59 57. 52-27 59. 48-94 60. 38-29 58. 25-58 / // 49. 6-66 45. 35-44 43. 6-65 40. 11-68 43. 32-10 37. 51-47 32.13-17 30. 23-42 32. 31-91 g 10-74 13-11 13-82 -13-98 -13-04 13-05 9-29 5-23 9-94 o ' 101.35.55-63 101. 20. 55-72 92. 9.49-04 91. 54. 25-72 86. 59. 42-94 86.44. 4-54 81. 47. 47-25 81. 31. 52-43 89. 1. 5-96 88. 45. 46-05 79. 2.25-90 78. 46. 37-13 70. 50. 32-42 70.34. 11-77 68.21. 1-05 68. 4.26-93 72. 5. 0-78 71.49. 2-90 It 45-32 45-33 45-34 45-35 45-78 45-83 45-87 45-91 46-59 Moon's L. L. ... a, Aquilae Moon's L. L. ... Moon's L. L. ... a Peeasi . , a. Andromedae. . . Moon's L. L. ... a Arietis Aldebaran Moon's L. L. ... Aldebaran a Lyrae ......... Moon's L. L. ... Capella Moon's L. L. ... Moon's L. L. ... a. Andromedae . . /3 Tauri a Orionis Moon's L. L. The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. GREENWICH LUNAR RBDUCTIONS. 2(N) (274) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon'a N.P.D. during the Passage of Scmi- diameUr. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. // 46-66 46-70 46-79 46-82 46-85 47-08 47-12 47-12 47-13 47-13 1815. Feb. 18 20 22 26 27 * 28 Mar. 17 20 21 22 23 24 o / n 73.52. 3-50 73.52. 2-10 44. 12. 19-60 67.31. 19-50 73.52. 2-50 72.46. 7-40 51.23.15-50 81. 36. 15-60 94. 59. 59-20 51. 23. 15-45 81.36. 14-10 67. 24. 54-30 73. 52. 0-90 82. 37. 41-70 100. 16. 55-00 81.36.13-75 67. 24. 53-90 73.52. 2-50 104.54.43-15 73.52. 3-40 70. 14. 17-60 44. 12. 19-85 61.32. 7'60 84.17.59-75 61.32. 6-60 68. 10. 8-90 70.52. 3-00 77. 7.12-50 73.51.42-50 44.11.55-90 82. 37. 20-50 80. 4.30-90 85. 47. 17-50 ' 1 35. 20. 22 35. 20. 20 5. 40. 38 28. 59. 38 35. 20. 21 34. 14. 25 12.51.34 43. 4.34 56. 28. 17 12.51.33 43. 4.32 28. 53. 12 35.20. 19 44. 6. 61. 45. 13 43. 4.32 28.53. 12 35.20.21 66.23. 1 35.20.21 31.42.36 5. 40. 38 23. 0.26 45. 46. 18 23. 0.25 29. 38. 27 32. 20. 46 38 35 56 30-16 29-66 29-66 29-72 30-14 30-14 30-07 30-07 30-21 30-31 30-32 30-37 30-37 30-40 30-08 30-36 30-33 80-22 30-08 29-88 29-88 29-88 29-88 29-78 29-78 29-78 29-53 29-56 29-45 29-15 29-15 29-27 29-22 41-0 46-0 46-0 45-0 49-0 45-0 42-0 45-0 34-0 35-0 37-0 46-0 40-0 38-0 30-0 32-0 44-0 39-0 33-0 49-0 49-0 49-0 46-0 46-0 46-0 46-0 49-0 47-0 54-0 49-0 48-0 42-0 47-0 / // 0. 42-31 0.41-18 0. 5-78 0. 32-32 0. 41-59 0. 40-26 0. 13-56 55-14 n 26-22 26-24 7-35 26-30 11-41 53-34 12-11 53-73 8-84 26-40 22-13 53-83 8-94 2<5-42 26-75 7-31 13-09 42-42 12-89 4-07 26-84 7-56 22-18 / 0. 19-59 0. 17-04 0. 18-03 0. 17-79 -0. 17-65 0. 17-40 0. 17-21 0. 16-91 0. 18-28 -0.17-19 0. 18-19 -0. 17-13 -0. 17-87 0. 18-65 -0.17-88 0.18-33 0.19-77 0. 17-20 0. 18-48 + 0. 5-46 + 0. 4-11 + 0. 6-02 + 0. 6-61 / a 60. 37-74 61. 3-21 58. 28-07 57. 29-40 56. 32-89 58.19-10 59.52-51 60. 10-17 60. 6-19 59. 42-31 f a 29. 9-74 34. 7-60 48. 33-01 50. 28-13 51. 38-98 30. 26-27 29. 23-35 31.58-15 39. 39-10 43. 38-64 n + 2-69 + 11-69 + 14-89 + 13-43 + 11-48 7-69 + 5-43 + 9-69 + 14-95 + 15-82 O / a 67. 2.20-85 67. 18. 54-82 72. 12. 10-76 72.28.51-69 94. 12. 54-96 93. 56. 56-41 99. 28. 15-39 99.12.32-86 104. 5. 15-44 103. 49. 48-32 69. 44. 16-30 69. 28. 20-19 67. 40. 55-47 67. 57. 17-09 70.20.3(5-76 70.37. 3"20 79. 25. 42-65 79.42. 7-99 85. 4.30-84 85. 20. 4!>-t>7 Aldeburan Moon's U. L Aldebaran Moon's U. L. . . . a. Lyrse Moon's L. L. ... Lyras 1.31-35 0. 13-87 0. 56-54 0. 32-82 0. 42-69 0. 58-62 1. 52-98 0. 57-21 0. 32-91 0.42-57 2. 17-67 0.41-23 0. 35-94 0. 5-79 0. 25-26 0. 59-87 0. 24-77 0. 33-19 0. 36-40 0.46-11 0. 40-23 0. 5-64 0. 55-07 0. 51-22 1. 1-76 <* Aquihe a Arietis .... Aldebaran a. Orionis Moon's L. L. ... a Aquilae at Arietis Aldebaran Moon's L. L. ... Aldebaran Moon's L. L. ... Capella Pollux Procyon Pollux Moon's U. L. . . . Moon's U. L liegulus . Aldebaran 35 20 26 Capella 5. 40. 39 44. 6. 4 41. 33. 23 47.16. 1 Moon's U. L. . . . Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (275) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi* diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1815. Mar.25 30 31 | Apr.18 19 20 23 24 May 1 2 16 18 19 Procyon O 1 II 84. 17. 35-70 61.31.42-35 77. 7.11-80 91. 39. 44-00 84. 17. 36-90 61.31.41-60 113. 1. 3-00 73. 51. 42-35 73. 7.10-85 77. 7. 9-60 74. 22. 52-40 87. 10. 25-90 44.11.58-40 77. 47. 38-75 84. 17. 35-30 77. 7. 8-75 87.10.29-70 83. 12. 20-10 100. 11. 31-70 77. 7. 6-50 44. 11. 57-50 82. 37. 18-40 108. 56. 42-50 77. 7. 9-60 76. 4. 9-40 74. 22. 46-50 69. 50. 17-30 74. 22. 50-60 86.49. 3-60 69. 50. 18-40 105. 13. 40-00 77. 7. 8-50 74. 22. 49-80 O ' ;; 45. 46. 19 23. 0.25 38. 35. 55 53. 8.27 45. 46. 20 23. 0.25 74. 29. 46 35. 20. 25 in. 29-43 29-43 29-48 29-52 29-82 29-82 29-80 29-75 30-16 30-16 30-16 30-16 30-07 29-92 29-63 29-60 29-58 29-58 29-16 29-36 29-60 29-60 29-60 29-65 30-10 30-07 30-10 30-16 30-16 30-16 30-16 30-00 29-98 o 43-0 43-0 39-0 36-0 49-0 49-0 42-0 66-0 40-0 40-0 38-0 38-0 51-0 45-0 50-0 42-0 41-0 41-0 38-0 41-0 63-0 63-0 54-0 54-0 58-0 54-0 50-0 62-0 61-0 59-0 59-0 64-0 61-0 / a 0. 59-53 0. 24-63 0. 46-75 1. 18-61 0. 59-58 0. 24-65 3. 29-10 0. 39-68 0.41-25 0. 47-72 0. 43-40 1. 8-17 0. 5-80 0. 48-00 0. 59-08 0. 46-65 1. 6-45 0. 57-85 1.47-33 0. 46-36 0. 5-57 0. 54-24 2. 38-95 0. 45-59 0.44-21 0. 41-87 0. 35-57 0. 41-32 1. 4-23 0. 35-00 2. 12-80 0. 45-21 0.41-16 ft 42-38 12-61 3-88 42-32 12-33 26-99 2-55 42-40 41-31 9-82 41-77 2-42 41-25 2-18 11-24 21-17 1-68 39-74 1-33 39-55 1-01 3-72 0-63 39-46 / // + 0. 7-15 + 0. 5-63 + 0. 5-33 + 0. 5-84 + 0. 6-08 + 0. 4-96 + 0. 5-23 + 0. 6-60 +0. 7-24 + 0. 5-62 + 0. 7-39 + 0. 7-02 + 0. 5-10 + 0. 9-32 +0. 8-17 +0. 8-53 + 0. 6-49 + 0.11-37 + 0. 8-46 + 0. 7-63 + 0. 7-61 +0. 10-92 + 0. 6-92 + 0. 8-50 / n 59. 5-63 55. 10-57 59. 26-01 59. 22-74 59. 10-94 57.45-18 54. 16-84 59. 4-14 58. 23-96 / ii 47. 4-90 53. 1-76 33. 31-66 37. 22-24 41. 24-31 50. 39-36 50. 59-52 35. 46-85 43. 23-76 n + 15-70 + 4-74 + 11-46 + 13-79 +15-14 + 13-95 8-03 + 12-97 + 15-11 o / // 90. 54. 19-45 91. 10. 28-26 112. 11. 40-71 111.56.36-10 72. 34. 15-34 72. 50. 29-73 77. 10. 57-46 77. 27. 10-95 82.31.45-00 82. 47. 55-27 99.23. 2-94 99. 38. 49-78 108. 8.21-63 108.23.11-57 75.29. 3-71 75.45.12-12 86. 6.37-68 86.22.35-11 H 47-13 47-15 47-06 47'05 47-03 46-!;,' 46-90 46-72 46-70 Pollux Regulus Moon's U. L. . . . Procyon Pollux Moon's L. L. ... Moon's U. L. . . . Regulus 34. 35. 54 38. 35. 53 35. 51. 35 j3 Leonis 48.39. 9 5. 40. 41 39. 16. 22 45.46.18 38. 35. 52 48. 39. 13 44.41. 3 61. 40. 16 38. 35. 51 5. 40. 42 44. 6. 2 70. 25. 27 38. 35. 54 37. 32. 53 35. 51. 31 31.19. 1 35. 51. 35 48. 17. 48 31.19. 2 66. 42. 24 38. 35. 53 35. 51. 34 Capella Moon's U. L Procyon Regulus B Virsrinis . Moon's U. L. . . . Moon's U. L. . . . ReTilus a Orionis Moon's V.L. ... Regulus Moon's U. L. . .. |3 Leonis Arcturus Moon's U. L. . . . Arcturus a Librae The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. . 2 (N) 2 (276) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month and Day. Name of Object. Circle Reading Approx- imate Zenith Distance. Baro meter Ther mo- meter Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error Tabular Horizonta Equatorea Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1815. Mayl 20 21 22 23 24 25 26 27 28 29 Moon's U. L. . . a Librae , ... O ' /' 92.31.47-90 105. 13. 40-50 77. 7. 8-00 74. 22. 49-60 98. 3.14-10 105. 13. 41-00 84. 17. 33-40 77. 7. 8-50 74. 22. 49-60 103. 6.24-00 69. 50. 14-50 82.58. 1-50 107.26. 3-90 105. 13. 38-90 82.58. 3-80 10. 48. 49-70 69. 50. 20-00 05. 13. 44-80 82.58. 6-90 13. 4.35-50 74. 22. 52-10 69.50. 17-30 05. 13. 43-40 14. 7.51-75 74. 22. 52-15 69. 50. 18-40 13. 67. 56-75 84. 17. 37-60 74.22.51-50 82. 58. 4-50 12. 39. 10-90 84. 17. 35-60 77. 7. 10-60 69. 50. 17-40 o i r 54. 0.3 66. 42. 2 38. 35. 52 in. 29-9 29'9 29-5 29-56 29-5 29-5 29-48 59-C 56- C 59-C 53-0 50-C 49-0 59-C 52-0 51-0 47-fl 43-0 42-0 42-0 47-0 45-0 43-0 53-0 52-0 51 49-0 64-0 58-0 58-0 53-0 61-0 56-0 50-0 64-0 60-0 50-0 50-0 70-0 67-0 52-0 t i 1. 18-59 2. 12-78 0. 45-01 0.41-24 1. 37-25 2. 12-58 0.57-72 0. 45-51 0.41-30 2. 1-05 0. 35-79 0. 57-76 2. 31-70 2.14-17 0. 57-19 3. 1-52 0. 35-07 2. 13-34 0. 56-72 3. 27-21 0.41-00 0. 34-96 2. 12-64 3. 42-33 0.41-33 0.35-14 3.41-45 0. 58-26 0.41-23 0. 56-99 3. 21-15 0. 57-08 0. 44-61 0. 35-02 a 3-74 / // +0. 10-46 + 0. 7-56 + 0. 8-53 + 0.10-17 + 0. 9-10 +0. 6-50 + 0. 8-38 + 0.10-12 + 0. 9-89 + 0. 10-70 + 0. 8-04 + 0. 5-04 + 0. 5-63 + 0. 5-28 + 0. 5-85 + 0. 7-69 + 0. 7-75 + 0. 5-38 + 0. 6-27 + 0. 3-97 + 0. 6-05 + 0. 7-03 + 0. 7-09 + 0. 4-92 + 0. 6-94 / // 67. 68-43 57. 29-53 56.58-17 56. 25-41 55. 52-27 55. 20-97 54. 53-40 54. 31-52 54. 16-91 / // 46. 42-7 49. 22-18 51. 17-07 52. 29-10 53. 4-41 53. 12-42 53. 1-68 52.38-17 52. 4-28 n + 15-02 + 14-21 + 12-75 + 10-57 + 7-77 + 4-56 + 1-21 1-98 4-82 O f II 91.46.17-39 92. 2. 7-84 97.15.23-71 97.31. 6-28 102. 17. 3-22 102. 32. 37-22 106.36. 6-17 106.51.31-22 109. 59. 0-82 110. 14. 16-82 112. 15. 0-17 112. 30. 7'62 113.18.40-71 113.33.40-63 113. 9. 3-88 113. 23. 57-82 111.50.28-63 12. 5. 18-59 It 46-69 46-67 46-67 46-66 46-65 46-64 46-64 46-63 46-61 Regulus. . . . . 0-57 39-37 3-75 40-22 35. 51. 34 Moon's U. L. . . a Libras 59. 31. 58 66. 42. 25 45.46. 17 38. 35. 53 35. 51. 34 64.35. 8 31. 18. 59 44. 26. 46 68. 54. 48 66 42 23 Procyon . . Regulug 29-48 29-48 29-57 29'8o 0-51 39-28 0-41 ft Leonis Moon's U. L. . . . A returns . . . . a Serpentis 29-84 29-84 29 '73 29-73 29-73 29-85 29-85 29-85 29-85 30-04 30-06 30-06 30-06 30-10 30-10 30-10 30-06 29-97 29-93 29-85 29-80 29-78 29-75 9-15 3-77 9-03 0-11 3-77 8-90 38-95 59-95 3-79 38-86 59-81 39-83 38-78 8-52 39-77 0-13 59-36 Moon's U. L. . . . a. Librae .... a. Serpentis Moon's U. L. . . . Arcturus 44. 26. 48 72. 17. 34 31.19. 4 6. 42 29 a Librae Serpentis 44. 26. 51 4. 33. 20 5.51.36 1.19. 1 6. 42. 27 5. 36. 3C 5. 51. 36 1.19. 2 5. 26. 41 5. 46. 22 5.51.36 4. 26. 49 74. 7.55 45. 46. 20 38. 35. 55 31.19. 1 Moon's U. L. . . . /3 Leonis Arcturus a Libras Moon's U. L. . . . /3 Leonis Arcturus Moon's U. L. . . . Procyon (3 Leonis a. Serpentis Moon's U. L. . . . Procyon Regulus Arcturus The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (277) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- neter. Refrac- tion. Seconds of 1 Star's Tabular! N.P.D. Correction for Index Error. Tabular lorizontal Dquatoreal Parallax. Parallax. ncreue of Moon's N.P.D. luring the >aB8age of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of lenter, at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 3. 27'. 1 1815. May 29 30 June 15 1 18 20 21 25 26 1 28 29 Moon's U. L. . . . a Coronae Borealis a Serpentis ..... o 107. 5.27-10 62. 38. 49-30 82.58. 4-10 103. 8.14-20 90. 42. 30-90 69.50.15-15 62. 38. 46-60 96.16. 3-10 69.60.14-20 105. 58. 58-40 82.58. 2-50 69. 50. 13-90 82.58. 3-70 75. 22. 34-50 112.21.57-10 74. 22. 48-90 75. 22. 33-60 114.23. 14-80 74. 22. 47-60 69.50. 11-50 82.58. 1-80 108. 27. 15-70 69. 50. 14-10 62. 38. 44-00 82.58. 2-90 104. 46. 34-90 74. 22. 48-80 69. 50. 13-55 82.58. 0-40 95.44. 7-40 74. 22. 48-50 82.58. 0-65 90. 40. 36-20 / 68. 34. 11 24. 7.33 44. 26. 48 64. 36. 58 52.11.15 31. 18. 59 24. 7.31 57. 44. 47 31.18.58 67. 27. 42 44. 26. 47 31.18.58 44. 26. 48 36. 51. 19 73. 50. 41 35. 51 33 In. 29-75 29-80 29-80 29-80 29-64 29-64 29-64 29-65 29-57 29-57 29-57 29-58 29-58 29-58 29-58 29-75 29-8* 29-80 29-94 29-93 29-95 29-96 29-94 29-94 29-94 29-96 30-10 30-10 30-10 30-15 30-10 30-10 30-07 o 56-0 50-0 50-0 53-0 59-0 56-0 54-0 60-0 60-0 56-0 56-0 61-0 57-0 56-0 56-0 69-0 58-0 56-0 60-0 57'( 54-0 46-0 62-0 58-0 58-0 49-0 71-0 64-0 59-0 62-0 71-0 56- ( 65-C / // 2. 24-38 0. 25-93 0. 56-74 2. 0-66 1.12-74 0. 34-61 0. 25-58 1. 29-20 0. 34-25 2. 15-85 0. 55-62 0.34-19 0. 55-52 0. 42-54 3. 13-30 0. 40-20 0. 42-68 3. 43-05 0.41-18 0. 34-87 0. 56-56 2. 39-30 0. 34-54 0. 25-63 0. 56-09 2. 11-82 0. 40-5 0. 34-58 0. 56-27 1. 25-52 0. 40-5 0. 56-62 1. 12-8 it 22-67 8-15 57-06 19-44 56-68 5-81 56-57 5-59 25-03 37-09 24-85 * 36-90 55-93 5-03 55-82 17-46 4-91 36-75 55-6 4-6S 36-7 4-5S * // +0. 7-44 +0. 7-31 + 0. 7-30 + 0. 7-26 + 0. 8-23 + 0. 7-69 + 0. 8-48 +0. 6-37 +0. 7-99 + 0. 7-99 +0. 8-57 + 0. 8-12 40. 9-56 + 0. 6-67 + 0. 7-18 + 0. 7-83 + 0. 5-92 +0. 7-44 + 0. 7-48 + 0. 8-02 + 0. 7-70 +0. 7-31 / // 64. 16-27 54. 31-72 57. 57-69 57. 22-50 56. 15-92 55. 17-63 54. 52 91 54. 5-00 54. 11-70 54. 54-3- 55. 30-76 / H 50. 21-81 49. 5-98 45. 35-57 48. 20-07 51. 48-26 52. 57-88 53. 511 50. 38-98 49. 26-84 45. 58-70 43. 38-8 n 9-09 -10-67 + 14-98 + 14-32 + 11-22 + 5-78 + 2-50 - 8-37 -10-00 12-30 -13-03 O t if 106. 17. 26-90 106. 32. 16-68 102.21. 5-59 102. 35. 59-59 89.58. 0-37 90. 13. 50-61 95.29. 5-19 95. 44. 45-84 105. 9.22-73 105. 24. 45-19 111.32.14-35 111.47.20-89 113.34. 3-52 113. 19. 3-74 107. 39. 15-7 107.64. 2-4 103. 59. 16-8 104.14. 5-3 94. 59. 29-5 95. 14. 29-6 89.58. 4-9 90. 13. 15-0 * 46-60 46-60 46-58 46-58 46-59 46-60 46-62 46-65 46-66 46-68 46-70 Moon's U. L. ... Moon's TJ. L. . . . a Coronas Borealis Moon's U. L. ... Arcturus Moon's U. L. ... Serpentis ..... Arcturus a Serpentis a Herculis ... . Moon's U. L. . . . at Herculis 36 51 IS Moon's L. L. ... 75. 51. 59 35.51.32 31.18.56 44. 26. 46 69.56. 31.18.58 24. 7.28 44. 26. 47 66. 15. 19 35. 51. 33 31. 18.58 44. 26. 44 57. 12. 51 35.51.33 44. 26. 45 52. 9.20 a Serpentis Moon's U. L Arcturus a Coronse Borealis Moon's U. L Moon's U. L. . . . (3 Leonis Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passwge of the Limb which was observed with the Transit. (278) BEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star'.* Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of St-lhi- diameter. Geocentric N.P.D. ofU. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1815. June 30 July 16 18 21 23 26 27 28 Aug. 11 13 14 15 17 19 o t it 77. 7. 5-70 82.58. 1-90 108.38.28-75 61. 22. 32-90 69. 50. 13-40 82. 57. 59-75 81. 35. 35-20 84. 1.37-70 106. 5. 4-75 62. 38. 39-90 77.16.50-10 92.28.34-10 75.22.28-75 82. 57. 59-95 75. 22. 28-60 81.35.35-50 82.18. 0-60 69. 50. 13-25 103. 19. 32-75 82. 58. 0-40 81. 35. 35-20 110.55.25-20 75. 22. 28-30 77.16.46-75 81. 35. 34-50 113. 8.50-00 81.35.34-65 77.16.48-20 82.37.11-20 77. 16. 48-20 81.35.34-55 113.16.46-00 75. 22. 27-60 77. 16. 48-20 Q r tt 38. 35. 50 44. 26. 45 70. 7.12 12. 51. 16 31. 18. 56 44. 26. 43 43. 4.18 45. 30. 21 67. 33. 48 24. 7.23 38. 45. 33 53. 57. 17 36.51.12 44. 26. 43 36.51.12 43. 4. 19 43. 46. 44 31.18.56 64. 48. 16 44. 26. 43 43. 4. 18 72.24. 8 36.51.11 38. 45. 30 43. 4. 18 74. 37. 33 43. 4.18 38.45.31 in. 30-07 29-97 29-97 30-00 29-75 29-80 29-83 29-83 29-83 30-07 30-07 30-07 30-06 30-05 30-05 30-05 30-05 29-39 71-0 67-0 67-0 63-0 67-0 59-0 52-0 52-0 54-0 58-0 55-0 48-0 54-0 62-0 57-0 54-0 58-0 66-0 63-0 62-0 52-0 63-0 63-0 63-0 59-0 64-0 62-0 66-0 65-0 61-0 57-0 56-0 60-0 60-0 / // 0. 44-69 0. 55-15 2. 34-20 0. 12-96 0. 33-98 0. 55-71 0. 53-92 0. 58-69 2. 18-28 0. 25-74 0. 46-41 1. 20-45 0. 43-40 0. 55-84 0.43-12 0.54-10 0. 55-00 0. 33-62 1. 57-60 0. 54-65 0.53-16 2. 55-71 0. 42-25 0. 45-26 0.53-11 3. 22-20 0. 52-97 0.45-14 0. 54-24 0. 45-50 0. 53-43 3. 27-08 0. 42-30 0. 45-30 ft 58-70 2-97 50-01 54-13 2-58 37-02 45-33 13-62 42-03 19-30 2-08 19-16 36-50 53-75 1-39 34-45 17-61 40-16 34-20 34-08 39-99 10-90 39-83 33-69 17-17 39-68 > t + 0. 8-31 + 0. 5-92 + 0. 4-15 + 0. 6-75 +0. 7-12 + 0. 8-50 + 0. 8-94 + 0. 7-98 + 0. 5-52 +0. 7-15 + 0. 6-29 + 0. 7-44 + 0. 6-90 + 0. 6-88 + 0. 6-34 + 0. 6-09 + 0. 7-06 + 0. 8-15 + 0. 6-59 + 0. 6-46 + 0. 6-65 + 0. 5-46 + 0. 6-13 + 0. 5-71 + 0. 7-27 + 0. 6-18 / 55. 48-41 54. 0-52 54. 51-09 56. 8-72 57. 10-55 55. 37-78 55. 2-89 54. 4-50 / // 52. 19-48 49.45-81 44. 9-94 38. 38-62 51.33-81 52. 52-55 52. 56-10 52. 2-21 a + 9-45 9-47 12-53 -13-01 + 12-74 + 7-60 + 4-49 4-72 O / " 107.48.39-63 108. 3.54-57 105. 17. 35-94 105. 32. 21-41 91.45.38-96 92. 0.38-25 81.40. 10-84 81.55.31-33 102. 29. 50-24 102. 45. 27-62 110. 5.28-03 110.20.40-07 112. 19. 17-80 112.34.20-31 112.28.21-51 112.13.34-93J 46-97 47-14 47-21 47-26 47-61 47-67 47-69 47-78 Moon's U. L. . . . a Serpentis Moon's U. L. . . . aCoronae Borealis , Ophiuchi Moon's U. L. . . . a, Herculis a Serpentis Herculis. ..... a Aquilae Moon's U. L. . . . Arcturus Moon's U. L. ... a Serpentis 29-39 29-41 29-41 29-80 29-80 29-80 29-80 29-90 29-90 29-90 29-72 29-84 29-86 29-86 29-65 29-65 Moon's U. L. . . . a Herculis Moon's U. L. ... a Aquilae 44. 5.54 38.45.31 43. 4.18 74. 45. 29 36.51.11 38.45.31 a, Ophiuchi Moon's L. L. ... a. Herculis a, Ophiuchi The Moon's U. L. or L. L. was usually observed when the Center was passim? the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (279) Year, 1 Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabularl N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of ; Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1815. [Aug. 19 24 25 26 Sep. 9 10 12 13 14 15 17 O 1 // 81. 35. 34-20 107. 44. 25-10 81. 35. 32-00 83. 48. 56-30 69. 50. 13-60 77. 16. 47-90 75.22.28-10 77. 16. 48-40 81.35.33-00 74.24.43-00 69. 50. 14-00 110. 3.56-50 77. 16. 44-10 81. 35. 31-70 69. 50. 14-65 112.43.57-80 77. 16. 47-70 81. 35.31-80 69. 50. 14-00 77. 16. 48-60 114.55.11-70 81.35.32-60 62. 38. 42-00 77. 16. 49-40 81. 35. 34-20 113.58.23-90 69. 50. 16-75 77. 16. 49-10 81.35.33-70 111.56.35-60 69.50. 17-15 77. 16.48-10 81. 35. 32-60 108.57.51-75 77. 16. 47-25 Oil 43. 4.17 69. 13. 8 43. 4. 15 45. 17. 39 31.18.57 38.45.31 36.51.11 38. 45. 31 43. 4. 16 35. 53. 26 31.18.56 71. 32. 39 38. 45. 26 43. 4.14 31.18.57 74. 12. 40 38. 45. 30 43. 4. 14 31.18.56 38. 45. 31 76. 23. 54 43. 4.16 24. 7.24 38.45.31 43. 4. 16 75.27. 6 31.18.59 38.45.31 43. 4. 16 73. 25. 18 31.18.59 38. 45. 31 43. 4.15 70. 26. 34 38. 45. 29 in. 29-70 29-70 30-05 30-05 29-97 29-96 30-00 30-00 30-03 30-03 30-10 30-10 30-10 30-10 30-08 30-04 30-04 30-04 30-07 30-07 30-04 30-04 29-89 29-89 29-87 29-87 29-83 29-83 29-81 29-80 29-78 29-75 29-72 29-7-2 29-90 53-0 50-0 61-0 60-0 70-0 69-0 65-0 65-0 60-0 54-0 67-0 64-0 64-0 54-0 71-0 67-0 67-0 60-0 68-0 64-0 60-0 59-0 77-0 70-0 63-0 63-0 77-0 72-0 64-0 62-0 77-0 68-0 64-0 61-0 64-0 / // 0. 53-57 2. 30-85 0. 53-34 0.57-75 0. 34-03 0. 44-96 0.42-37 0. 45-38 0.53-41 0.41-86 0. 34-38 2.48-54 0. 45-61 0.54-18 0. 34-08 3. 16-52 0. 45-26 0. 53-43 0. 34-27 0. 45-57 3. 51-76 0. 53-53 0. 24-64 0. 44-77 0. 52-81 3. 34-07 0. 33-41 0. 44-50 0. 52-60 3. 7-31 0. 33-35 0/U-Tf'i tf 33-46 32-94 54-28 39-32 16-80 39-24 32-73 55-43 38-81 31-60 55-53 38-80 31-54 55-75 38-79 31-42 13-75 38-79 31-36 55-97 38-77 31-30 56-07 38-77 31-24 38-76 / U + 0. 5-69 + 0. 7-60 + 0. 6-65 + 0. 6-46 + 0. 6-33 + 0. 5-46 + 0. 6-32 +0. 7-05 + 0, 9-10 +0. 5-72 +0. 6-80 + 0. 5-84 + 0. 6-31 + 0. 7-48 + 0. 4-62 + 0. 5-29 + 0. 7-11 +0. 4-62 + 0. 4-35 + 0. 5-81 +0. 5-17 + 0. 5-00 + 0. 5-57 +0. 5-14 + 0. 6-21 * + 0. 6-19 / a 53. 58-51 55. 27-68 56. 50-52 56. 27-97 55. 40-24 54. 33-21 54. 14-25 54. 4-41 54. 2-07 / // 50. 18-87 39. 13-19 33. 6-78 53. 24-45 53. 25-47 52. 53-43 52. 21-81 51.41-16 60. 46-21 it 9-01 -12-82 11-32 + 8-94 + 5-68 - 0-94 - 3-93 6-49 - 8-58 O / II 106. 56. 43-46 106. 41. 68-54 83. 10. 34-94 83. 25. 44-22 73.52.12-80 74. 7.44-70 109. 13. 18-94 109. 28. 44-69 111.53.49-49 112. 9. 2-20 114. 6. 16-77 113.51.22-37 113. 9.45-44 112. 54. 56'21 111. 8.13-57 110.53.27-04 108. 9.57-25 107. 55. 11-35 47-83 4T95 48-00 48-27 48-27 48-31 48-31 48-33 48-35 Moon's L. L. . ( a ) a Aqxiilse Moon's U. L. . . . Moon's U. L. . . . Moon's U. L.. . . a. Ophiuchi Arcturus Moon's U. L. . . . Moon's L. L. ... x Aquilae a Coronas Borealis x Ophiuchi Moon's L. L. ... Arcturus a. Ophiuchi Moon's L. L. ... a Aquilse 0. 52-43 2. 37-49 0. 45-32 Moon's L. L. ... a Ophiuchi The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. ( m ) The correction for increase of N.P.D. during passage of Semidiameter is not applied to form the numbers in the column "Geocentric N. P. D of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. (280) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of 1 Star's Tabular! N.P.D. Correction for Index Error. Tabular Horizontal Equatorea] Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Setni- dianu-ter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L.or2L. Tabular Obliquity of Ecliptic* 23. 27'. 1815. Sep. 17 18 19 20 21 23 24 25 27 28 Oct. 9 10 Moon's L. L. ... o / 100. 48. 40-00 81. 35. 33-20 95.59. 525 82.58. 1-65 75. 22. 29-00 75. 22. 27-35 77. 16. 48-70 81.35.34-40 85. 13. 14-30 69.50.17-90 77.16.47-50 81.35.32-50 80. 11. 10-50 75. 22. 29-00 77. 16.49-10 81.35.33-40 71. 28. 49-50 81. 35. 32-60 68. 22. 36-30 75. 22. 28-30 77. 16. 48-00 77.16.44-75 81.35.30-50 68. 4.48-80 75. 22. 28-10 75. 22. 29-50 77. 16. 48-40 115. 14.41-00 81.35.30-00 69. 50. 19-90 75. 22. 27-25 77. 16. 48-20 114. 42. 26-00 / 62. 17. 22 43. 4.15 57.27.47 44. 26. 44 36. 51. 11 36.51. 9 38.45.31 43. 4.16 46.41.56 31. 19. 38. 45. 30 43. 4.15 41. 39. 53 36. 51. 11 38. 45. 31 43. 4.15 32. 57. 32 43. 4.15 29. 51. 18 36.51.10 38. 45. 30 38. 45. 27 43. 4. 13 29.33.31 36. 51. 10 36. 51. 12 38. 45. 30 76. 43. 23 43. 4. 12 31.19. 2 36.51. 9 38 45 30 29-96 30-08 30-08 30-05 30-05 29-92 29-92 29'90 29-90 29-88 29-85 29-83 29-80 29-54 29-54 29-54 29-54 29-51 29-68 29-80 29-80 29-85 29-88 30-00 30-00 30-12 30-12 30-12 30-12 29-90 29-88 29-87 29-87 o 58-0 62-0 58-0 67-0 62-0 56-0 56-0 54-0 47-0 59-0 54-0 49-0 45-0 56-0 56-0 50-0 48-0 53-0 46-0 56-0 56-0 51-0 49-0 52-0 55-0 51-0 50-0 47-0 47-0 51-0 50-0 50-0 48-0 / H 1. 48-59 0. 53-28 1. 29-88 0. 55-29 0. 42-69 0. 43-02 0. 46-08 0. 53-83 I. 1-96 0. 34-68 0.46-16 0.54-25 0. 52-02 0. 42-48 0. 45-50 0. 53-61 0. 37-36 0. 53-23 0. 33-37 0. 42-85 0. 45-90 0. 46-44 0. 54-34 0. 33-53 0. 43-23 0. 43-75 0. 46-9(1 4. 4-55 0. 55-00 0. 35-27 0. 43-49 0. 46-57 3. 52-61 a 31-10 1-44 16-56 16-59 38-82 31-03 56-85 38-84 31-00 16-68 38-89 30-93 30-89 16-75 38-92 38-97 30-79 16-88 17-63 3962 30-73 59-92 17-72 39-70 / // +0. 4-62 + 0. 4-50 +0. 4-87 + 0. 6-22 + 0. 4-04 + 0. 2-80 + 0. 4-27 + 0. 5-18 + 0. 4-25 + 0. 5-20 + 0. 4-29 + 0. 3-92 + 0. 5-06 + 0. 5-60 + 0. 5-02 + 0. 7-78 + 0. 5-95 +0. 5-55 + 0. 4-38 + 0. 4-26 + 0. 5-73 + 0. 4-75 + 0. 6-98 + 0. 4-93 i i 54. 17-40 54. 32-98 55. 17-31 55. 45-69 56. 54-93 57. 35-26 59. 42-34 55. 7-36 54. 37-33 / // 47. 53-89 45. 48-75 40. 2-46 36. 51-98 30.45-17 28. 27-19 29. 13-98 53. 30-97 52. 54-52 w 11-46 -12-36 -13-01 12-06 - 9-89 - 7-07 + 6-19 + 0-25 2-96 / 100. 2.51-57 99.48. 1-49 95. 14. 38-68 94. 59. 44-34 84.34. 5-14 84.49. 11-59 79.35. 2-46 79. 50. 16-06 70. 58. 37-27 71. 14.10-38 67. 54. 40-64 l8. 10. 24-77 07. 36. 20-97 67.20. 2-13 114.25. 19-12 114.10.15-39 113.53.32-60 113.38.37-07 48-37 48-38 48-39 48-40 48-42 48-42 48-45 48-44 48-43 Moon's L. L. ... a Serpentis a, Herculis Ophiuchi a Aquilae Moon's U. L. . . . Arcturus a Ophiuchi a Aquilae Moon's U. L. ... a Ophiuchi a Aquilae Moon's U. L. . . . a. Aquilae Moon's U. L. . . . a Herculis a Ophiuchi a Ophiuchi Moon's L. L. ... a Herculis a Hercnlis a Ophiuchi Moon's L. L. ... Arcturus a Ophiuchi . . Moon's L. L. ... 76.11. 8 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (281) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabiilarl N. P.O. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of MGOII'S N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 3. 27'. 1815. Oct. 12 14 17 20 21 22 23 24 25 20 Nov. 7 8 9 13 Moon's L. L. ... Oil 110. 19. 55-30 51.22.21-90 81. 35. 31-75 45. 21. 58-20 51.22.21-10 81.35.32-30 87. 28. 46-50 81.35.33-40 69. 50. 22-00 51.22.21-20 81. 35. 33-00 68. 58. 27-50 69. 50. 21-60 81.35.31-10 45. 21. 57-65 66. 23. 56-00 69. 50. 22-80 51.22.20-60 81. 35. 32-40 67. 11. 43-30 69. 50. 22-40 81.35.32-40 69. 36. 19-65 77. 16. 49-20 81.35.31-15 114. 4.10-60 75.46. 6-90 61.54.58-90 75.46. 5-50 61.54.59-50 108. 29. 42-40 51.22.23-75 81.35. 32-80 o / 71.48.37 12.51. 4 43. 4.14 6. 50. 40 12.51. 3 43. 4.14 48. 57. 29 43. 4. 15 31. 19. 4 12. 51. 3 43. 4.15 30. 27. 10 31.19. 4 43. 4.13 6. 50. 40 27. 52. 38 31.19. 5 12 51. 3 in. 29-64 29-60 29-60 29'60 29-75 29-74 29-76 29-34 29-50 29-57 29-58 29-70 29-80 29-80 29-80 29-48 29-46 29-46 29-46 29-44 29-40 29-32 29-32 29-37 30-00 30-00 30-00 30-00 29-90 29-90 29-88 28-94 28-94 46-0 55-0 53-0 53-0 52-0 50-0 47-0 55-0 58-0 53-0 50-0 42-0 53-0 48-0 48-0 53-0 56-0 53-0 52-0 46-0 53-0 50-0 42-0 50-0 45-0 44-0 41-0 40-0 45-0 45-0 52-0 46-0 44-0 / // 2. 54-85 0. 12-99 0. 53-39 0. 6-86 0. 13-14 0. 53-97 1. 6-74 0.52-71 0. 34-31 0. 13-03 0. 53-68 0. 34-48 0. 35-01 0. 54-30 0. 6-97 0. 30-11 0. 34-40 0. 12-98 0. 53-25 0. 31-54 0. 34-54 0. 53-21 0. 34-90 0. 45-79 0. 55-01 3.45-13 0.45-13 0. 25-74 0. 44-60 0. 25-40 2. 37-25 0. 12-94 0.53-17 n 39-23 30-80 11-53 39-42 30-85 30-96 2-16 39-83 31-00 2-38 31-04 11-08 2-82 40-15 31-12 3-04 31-16 41-20 31-94 58-11 31-43 58-11 31-35 43-32 32-45 / // + 0. 4-34 + 0. 5-66 + 0. 6-47 + 0. 5-18 + 0. 4-58 + 0. 4-85 + 0. 5-85 + 0. 5-60 + 0. 4-32 + 0. 5-77 + 0. 5-64 + 0. 6-46 + 0. 5-62 + 0. 6-57 + 0. 5-47 + 0. 6-10 + 0. 5-55 + 0. 6-21 + 0. 5-78 + 0. 6-08 + 0. 6-79 + 0. 8-01 + 0. 6-45 + 0. 6-63 + 0. 6-48 / a 54. 9-20 55. 23-85 57.22-17 58. 21-05 58. 48-65 59. 13-70 54. 40-92 54. 13-45 / // 51. 18-22 41. 35-48 28. 51-78 27. 4-05 28. 0-06 30.21-61 52. 49-00 50. 47-84 u - 7-991 13-34 8-17 0-15 + 4-49 + 8-79 4-73 9-19 o / 09. 31. 45-41 109. 16. 57-57 86. 48. 35-97 86. 33. 27-73 68.30. 7-29 68.45.47-85 65. 57. 27-87 65.41.31-23 66. 44. 25-16 66. 28. 20-98 69. 6.47-68 68. 50. 36-66 113. 15. 17-68 113. 0.21-18 107.41.48-23 107. 26. 59-23 tl 48-43 48-39 48-35 48-34 48-32 48-31 48-16 48-12 Moon's L. L. ... a Aquilae Arcturus a Lyrae a Aquilas Moon's U. L. . . . Arcturus a Aquilae Moon's L. L. ... Arcturus 43. 4.14 28. 40. 25 31. 19. 4 43. 4. 14 31. 5. 2 38. 45. 31 43 4.13 Moon's L. L. ... Arcturus a AquilfB Moon's L. L. ... Moon's L. L. ... a Pegasi 75. 32. 53 37. 14. 49 23. 23. 41 37. 14. 48 23. 23. 42 69. 58. 24 12.51. 6 43. 4. 15 a Andromedae. . . a Pegasi a. Andromedae . . Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. GREENWICH LUNAR REDUCTIONS. 2(0) (282) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of !L.or2L. Tabular Obliquity of Ecjiptic. 23. 27'. 1815. Nov. 13 14 15 16 17 18 20 22 23 Dec. 7 g Moon's L. L. ... o / /' 89. 43. 26-05 69. 50. 26-10 81.35.34-10 61.55. 0-50 84. 24. 03-50 75.46. 6-00 79. 14. 47-00 75.46. 5-10 61.54.58-50 74.31. 7-55 75.46. 5-30 70. 1. 37-75 81.35.31-05 61. 54. 57-60 69. 50. 25-75 51.22.25-40 81. 35. 32-30 66.37. 8-45 69.50.27-15 71. 59. 14-30 69. 50. 27-40 81.35.32-40 75.46.' 7-00 106.21.37-50 75.46. 5-50 61. 54. 58-50 69. 50. 30-60 81. 35. 33-05 75.46. 5-75 102. 1.36-40 61.54.58-00 75.46. 5-00 61.54.58-50 o / // 51.12. 8 31. 19. 8 43. 4. 16 23. 23. 43 45. 53. 16 37. 14. 48 40. 43. 29 37. 14. 47 23.23.41 35. 59. 50 37. 14. 47 31.30.20 43. 4. 13 23. 23. 40 31.19. 8 12.51. 7 43. 4. 14 28. 5.50 31.19. 9 33. 27. 56 31. 19. 9 43. 4. 14 37.14.49 67. 50. 20 37. 14. 48 23.23.41 31.19. 13 43. 4. 15 37. 14. 48 63. 30. 18 23. 23. 40 37 14 47 in. 29-00 29-08 29-01 28-98 28-97 29-10 29-12 29-38 29-38 29-38 29-62 29-70 29-86 29-87 29-96 29-53 29-52 29-52 29-55 29-90 30-02 30-02 30-06 29-82 29-82 29-82 29-88 29-88 29-88 29-88 29-88 30-05 30-27 40-0 41-0 41-0 39-0 35-0 35-0 30-0 30-5 30-0 28-0 32-0 27-0 34-0 31-0 28-0 40-0 36-0 36-0 37-0 27-0 31-0 35-0 31-0 28-5 28-5 28-0 24-0 28-0 24-0 24-0 24-0 26-0 33-0 / // 1. 11-43 0. 35-02 0. 53-63 24-92 0. 59-83 0. 44-32 0. 50-75 0. 45-18 0. 25-75 0. 43-40 0. 45-40 0. 37-10 0. 56-02 0.26-12 0. 37-07 0. 13-37 0. 55-15 0.31-62 0.35-88 0. 40-28 0. 36-91 0. 56-20 0.46-17 2. 27-80 0. 46-05 0. 26-24 0. 37-30 0. 56-78 0. 46-59 2. 2-46 0. 26-52 0. 46-65 0. 26-36 // 7-97 32-54 30-91 58-15 58-16 30-79 58-18 32-93 30-68 9-30 44-84 32-74 9-85 10-40 33-45 58-35 59-02 30-22 14-57 35-34 59-09 30-24 59-16 30-28 / // + 0. 6-85 + 0. 4-81 + 0. 5-49 + 0. 7-83 + 0. 7-88 + 0. 6-54 + 0. 7-48 + 0. 5-86 + 0. 6-96 + 0. 6-48 + 0. 6-07 + 0. 5-29 + 0. 6-82 + 0. 6-09 + 0. 4-85 + 0. 5-18 + 0. 7-47 + 0. 5-48 + 0. 6-67 + 0. 5-51 ' + 0. 6-75 + 0. 5-72 + 0. 7-51 + 0. 5-42 / // 55. 20-71 55. 54-57 56. 31-02 57. 7-40 57.41-39 58.52-18 59. 10-29 54. 12-48 54. 15-97 / it 42. 56-75 39. 56-70 36. 40-17 33.21-89 29. 56-01 27. 30-49 32. 24-69 50. 3-07 48. 24-30 * 13-38 13-57 13-19 11-95 9-62 + 3-11 + 11-19 10-12 11-37 oia 89. 2. 0-76 88. 46. 53-38 83. 45. 56-24 83. 30. 39-62 78.39.18-19 78.23.51-61 73. 58. 24-41 73. 42. 47-89 69.32. 15-91 69.48. 1-71 66. 10. 18-65 65. 54. 13-51 71. 27. 46-45 71.11.36-36 105. 34. 18-89 105. 19. 30-15 101.15.31-92 101. 0. 42-23 n 48-07 48-06 48-05 48-03 48-02 47-99 47-97 47-86 47-86 a, Andromedse . . Moon's L. L. ... Moon's L. L. ... a. Peirasi. . a Andromedae. . . Moon's L. L. ... a Pegasi Moon's U. L. . . . a Aquilae a Andromedae. . . Arcturus a Lyrse a Aquilae Moon's L. L. ... Arcturus Moon's L. L. ... Arcturus a Aquilae a Pegasi Moon's L. L. ... a Pegasi a. Andromedae . . Arcturus a Aquilae 9 10 a. Pegasi Moon's L. L. ... a Andromedae . . a Andromedae. . . 23.23.41 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (283) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- neter. Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of .enter, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27' 1815. Dec. 10 11 12 13 14 15 16 18 20 21 22 1816. Jan. 11 Moon's L. L. ... a Arietis O ' 92. 7.56-50 67.24. 8-90 86. 52. 20-75 67.24. 8-80 69. 50. 32-50 81. 35. 35-40 61. 54. 58-90 67. 24. 9-80 81.38.29-10 75. 46. 8- 10 61.54.59-50 76. 40. 25-60 69. 50. 34-00 51. 22. 33-25 81. 35.35-40 61. 54. 59-25 72. 16. 37-70 68.17.23-30 81. 35. 38-60 61.55. 1-30 66.10.48-40 51. 22, 34-45 81. 35. 37-25 75. 1.34-85 69. 50. 36-65 80. 19. 46-50 51.22.35-60 81. 35. 37-25 67.24. 8-40 61.55. 2-50 73. 51. 29-35 70. 24. 30-40 44. 11. 51-10 o ' a 53. 36. 39 28. 52. 51 48.21. 3 28. 52. 51 31.19.15 43. 4. 17 23. 23. 41 28. 52. 52 43. 7.11 37. 14. 50 23. 23. 42 38. 9. 8 31. 19. 16 12. 51. 15 43. 4.17 23. 23. 41 33. 45. 20 29.46. 5 43. 4. 21 23. 23. 43 27. 39. 30 12. 51. 16 43. 4. 19 36. 30. 17 31. 19. 19 41. 48. 29 12.51.18 43. 4. 19 28. 52. 50 23. 23. 45 35.20. 11 31.53.12 5. 40. 33 In. 30-27 30-27 30-25 30-25 30-15 30-23 30-31 30-31 30-31 30-13 30-13 30-16 30-20 30-19 30-19 30-11 30-02 29-42 29-00 28-91 28-85 29-26 29-26 29-12 29-20 29-41 29-50 29-50 29-56 28-95 29-03 29-03 29-05 o 33-0 32-0 32-5 32-5 34-0 39-0 33-0 32-0 32-0 40-0 40-0 37-0 32-0 38-0 38-0 35-0 38-0 45-0 39-0 36-0 32-0 32-0 32-0 39-0 35-0 29-0 31-0 32-0 32-0 4TO 42-0 42-0 41-0 / // 1.22-51 0. 33-67 1. 8-45 0. 33-61 0. 36-84 0. 56-12 0. 26-39 0. 33-72 0. 57-20 0. 45-42 0. 25-86 0. 47-26 0. 37-06 0. 13-72 0. 56-17 0. 26-U 0. 39-95 0. 33-03 0. 53-84 0. 25-02 0. 30-49 0. 13-47 0. 55-13 0. 42-82 0. 35-62 0. 53-35 0. 13-61 0. 55-58 0. 32-88 0. 24-49 0. 40-64 0. 35-66 0. 5-72 // 46-51 46-49 15-68 35-92 30-32 46-47 59-44 30-34 16-24 51-22 36-21 30-36 36-51 30-40 52-43 36-82 18-13 53-68 37-45 46-40 32-30 14-90 3-71 t a + 0. 3-94 + 0. 4-08 + 0. 6-34 + 0. 4-40 + 0. 5-03 + 0. 2-95 + 0. 5-92 + 0. 4-98 + 0. 5-18 + 0. 4-25 + 0. 4-64 + 0. 5-00 + 0." 4-07 + 0. 4-08 + 0. 4-51 + 0. 4-44 + 0. 5-86 4-0. 4-47 + 0. 4-62 + 0. 5-12 + 0. 5-31 + 0. 4-91 + 0. 6-89 / n 54. 55-79 55. 30-33 56. 11-86 56. 58-04 57. 44-85 58. 28-69 59. 5-27 59. 38-81 59.21-99 67. 58-59 ' i 44. 2-04 41. 17-01 38. 12-74 34. 59-07 31. 52-50 28. 48-97 27.12-51 35. 15-89 39.21-77 30. 24-68 13-01 13-41 13-38 12-72 -11-04 - 8-06 3-82 + 13-42 + 15-18 - 9-62 O / II 91. 25. 35-60 91.10.35-02 86. 12. 30-54 85. 57. 20-53 81. 1.31-07 80.46. 9-72 76. 6.31-87 75. 50. 57-91 71.45.40-82 71.29.5.4-07 67. 49. 19-80 68. 5. 18-52 65.44. 6-64 66. 0. 15-36 74.27.20-14 74.11. 2-26 79.41.38-00 79. 25. 24-72 69. 54. 56-70 69.39. 6-21 47-86 47-86 47-86 47-86 47-86 47-86 47-86 47-89 47-90 48-18 Moon's L. L . . . . Arcturus a. Andromedae. . . at Arietis Moon's L. L. ... a. Andromedae . . Moon's L. L. ... Arcturus a Lyras a Andromedae. . . Moon's L. L . ... Moon's U. L. . . . Andromedse. . . Moon's U. L. . . . a Aquilae Moon's L. L . . . . Moon's L. L . ... a Lyras a. Aquilae a Arietis a Andromedae. . . Moon's L. L. ... Capella The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above are those corresponding to the time of passage of the Limb which was observed with the Transit. 2 (O)2 (284) SEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Sunii- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1816. Jan. 13 15 17 18 20 21 Feb. 8 9 10 11 12 O ' " 67.24. 9-80 73. 51. 28-40 65. 44. 32-60 73. 51. 29'20 61. 33. 0-90 68. 34. 20-90 51.22.41-75 61.55. 0-90 73.51.26-90 61.33. 0-00 78. 17. 5-50 73.51.27-10 44.11.5000 61. 32. 59-75 84. 10. 33-00 61.55. 1-55 67.24. 8-90 73. 51. 27-90 101. 66. 38-10 O ' " 28.52.52 35. 20. 10 27. 13. 15 35.20.11 23. 1.43 30. 3. 3 12. 51. 24 23. 23. 43 35.20. 9 23. 1.42 39. 45. 48 35.20. 9 5. 40. 32 23. 1.42 45. 39. 15 23. 23. 44 28.52.51 35. 20. 10 63. 25. 20 28. 52. 52 35.20. 8 30. 8.50 5. 40. 31 28. 52. 50 35.20. 8 28. 6.56 12.51.31 28. 52. 53 35.20. 9 28.31.36 12.51.31 28. 52. 51 5. 40. 29 44. 5.54 31. 44. 36 ia. 28-86 28 -9( 28-90 29-10 29-10 29-20 29-52 29-40 29-48 29-48 29-50 29-55 29-55 29-55 29-55 29-33 29-33 29-27 29-25 29-30 29-37 29-37 29-37 29-48 29-48 29-50 29-55 29-55 29-80 29-92 30-11 30-15 30-20 30-23 30-23 35-0 33-0 33-0 38-0 38'0 35-0 36-0 37-0 34-0 34-0 33-0 34-0 34-0 34-0 34-0 33-0 31-0 31-0 37-0 22-0 21-0 19-0 19-0 17-0 14-5 12-0 17'0 26-0 30-0 24-0 23-0 29'0 22-0 21-0 21-0 / 0. 31-90 0.41-22 0. 29-92 0. 41-08 0. 24-64 0. 33-85 0. 13-48 0. 25-39 0.41-97 0.25-17 0. 49-48 0. 42-06 0. 5-89 0. 25-23 1. 0-66 0. 25-54 0. 32-70 0. 41-93 1. 56-19 0. 33-30 0. 42-98 0. 35-37 0. 6-05 0. 33-87 0. 43-76, 0.33-19 0. 14-05 0. 33-29 0. 42-78 0. 33-36 0. 14-13 0.3376 0. 6-18 1. 0-43 0. 38-01 // 46-85 14-52 14-98 32-42 1-59 33-02 15-01 32-33 15-03 2-80 32-27 33-38 47-16 15-06 48-38 15-39 0-66 48-46 15-40 8-67 48-54 15-44 9-12 48-70 0-39 17-49 / // + 0. 5-15 + 0. 4-90 + 0. 4-70 + 0. 6-88 + 0. 6-36 + 0. 6-73 + 0. 6-14 + 0. 7-16 + 0. 5-87 + 0. 6-91 + 0. 7"29 + 0. 6-29 + 0. 5-56 + 0. 5-23 + 0. 5-58 -f-0. 6-11 + 0. 5-96 + 0. 6-34 + 0. 5-64 + 0. 5-77 + 0. 4-35 -1-0. 5-41 + 0. 5-99 + 0. 5-84 + 0. 7-21 + 0. 5-56 / // 59. 42-05 60. 39-39 60. 27-73 59. 59-61 57. 55-91 57. 48-00 58. 48-68 60. 34-73 61. 6-97 / n 27. 5-18 30. 8-96 38.27-24 42.41-53 51.38-18 23. 48-93 27. 29-86 28. 42-33 31. 55-67 n 1-36 + 9-18 + 15-46 + 16-58 + 14-35 - 7-6(5 - 3-77 + 6-68 + 11-51 o / // 65. 18. 3-73 65. 34. 22-49 68. 5. 0'95 68.21.35-38 77. 39. 49-88 77.23.18-64 83. 29. 15-40 83. 12.51-84 101. 7.16-15 100.51.26-39 68. 12. 7-58 67. 56. 19-9G 66. 11.26-72 65. 55. 22-63 66. 34. 43-80 66. 51. 16-95 69.44.31-63 70. 1. 13-58 // 48-23 48-27 48-32 48-34 48-42 48-88 4891 48-97 48-99 Aldebaran Moon's U. L. . . . Aldebaran ft Tauri Moon's U. L. . . . a Lyras a. Andromedaa . . Aldebaran ft Tauri Moon's L. L. ... Aldebaran Capella /S Tauri Moon's L. L. ... a Andromedae . . Aldebaran Moon's L. L. ... a Arietis 67.24. 9-50 73.51.26-30 68.40. 7-60 44.11.48-65 67.24. 8-25 73.51.26-00 66. 38. 13-70 51.22.48-85 67. 24. 10-90 73. 61. 27-25 67. 2.54-20 51. 22. 49-00 67.24. 9-10 44. 11.47-00 82.37. 11-50 70. 15. 54-00 Aldebaran Moon's L. L. ... Capella a, Arietis Aldebaran Moon's L. L. ... a Lyroe Arietis Aldebaran Moon's U. L. . . . a Lyra? a Arietis Capella a Orionis Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (285) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2327'. 1810. Feb. 13 14 15 16 17 20 21 Mar. 7 9 10 13 15 16 a Arietis O / II 67.24. 8-90 75. 1. 1-40 67.24. 9-80 44. 11. 48-50 73. 51. 26-60 44. 11.47-40 61. 32. 56-90 87. 45. 26-50 94. 9.20-60 51.22.51-10 100. 10. 36-00 44. 11.49-00 61. 32. 57-90 113. 6.16-00 82. 37. 14-00 73. 51. 30-60 44.11. 47-90 67. 3.56-00 82. 37. 16-75 65. 56. 12-60 51. 22. 54-80 44. 11.47-00 61. 32. 58-00 82. 37. 14-60 68. 13. 47-75 73. 51. 30-40 82. 37. 16-30 106.26. 1-00 83. 47. 25-90 97. 29. 49-20 103.26.21-00 ' 28. 52. 51 36. 29. 43 28. 52. 52 5. 40. 31 35.20. 9 5. 40. 29 23. 1.39 49.14. 9 55.38. 3 12. 51. 33 61.39.18 5. 40. 31 23. 1.40 74. 34. 58 44. 5.56 35. 20. 13 5. 40. 30 28. 32. 38 44. 5.59 27. 24. 55 12.51.37 5. 40. 29 23. 1.40 44. 5.57 29. 42. 30 35. 20. 12 44. 5. 58 1 61. 54. 43 45.16. 8 58. 53. 31 64.55. 3 In. 30-16 30-16 30-23 30-23 30-10 30-10 30-10 29-97 29-72 29-75 29-88 29-83 29-83 29-92 30-00 29-08 29-08 29-08 29-08 29-42 29-55 29-74 29-74 29-74 29-77 29-72 29-77 29-77 29-83 29-70 29-67 o 32-0 30-0 36-0 33-0 38-0 39-0 39-0 35-0 35-0 35-0 27-0 43-0 43-0 39-0 41-0 41-0 41-0 41-0 41-0 34-0 31-5 36-0 36-0 35-0 30-5 49-0 46-0 45-0 41-0 32-0 34-0 / // 0. 33-55' 0.45-18 0. 33-34 0. 6-04 0,42-49 0. 5-94 0. 25-43 1. 9-59 1. 26-91 0.13-61 1. 52-50 0. 5-84 0. 24-99 3. 32-50 0. 57-49 0. 40-79 0. 5-72 0. 31-30 0. 55-73 0. 30-65 0. 13-62 0. 5-91 0. 25-28 0. 57-71 0. 34-36 0. 41-01 0. 56-46 2. 23-01 0. 59-54 1.39-31 2. 6-69 // 48-78 48-85 0-26 15-51 0-20 31-25 10-21 59-94 31-16 17-72 15-91 59-66 17-91 13-65 59-67 31-03 17-93 16-03 17-92 29-63 . . / '/ + 0. 6-33 + 0. 5-71 + 0. 5-72 + 0. 6-42 + 0. 6-86 + 0. 8-92 + 0. 5-50 + 0. 5-10 +0. 8-27 + 0. 6-23 + 0. 4-52 + 0. 6-04 + 0. 5-43 + 0. 5-23 + 0. 6-76 +0. 7-75 +0. 5-62 + 0. 4-62 + 0. 5-16 +0. 5-62 * / // 61. 19-57 60. 42-70 59. 59-68 59. 7-51 56. 28-88 57.28-78 59. 23-84 60. 16-39 61. 23-07 60. 26-53 59. 35-47 / // 36. 14-91 45. 46-48 49.19-61 51.51-35 54. 18-41 27. 15-16 27. 7-68 29. 38-79 43. 23-40 61. 36-31 53. 47-79 H + 15-08 + 17-74 + 17-23 + 15-75 + 7-31 5-27 + 3-93 + 8-98 + 18-12 + 17-52 + 15-52 o / n 74. 25. 52-67 74. 42. 38-06 87. 1. 14-75 86. 44. 39-42 93. 21. 51-39 93. 5.27-81 99. 20. 59-16 99. 4.49-83 112.15.43-93 112. 0.17-93 66. 37. 22-74 66.21.40-38 65. 29. 38-22 65. 45. 52-01 67. 44. 41-05 68. 1. 9-19 83. 5.25-29 83. 22. 11-65 96.40.14-85 96. 23. 43-94 102.35. 3-27 102. 18. 46-31 a 49-02 49-07 49-10 49-13 49-20 49-51 49-54 49-56 49-60 49-61 49-62 Moon's U. L. . . . a Arietis Capella Aldebaran Capella /3 Tauri Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... Tauri Moon's L. L. ... a Orionis Aldebaran Capella Moon's L. L. ... Orionis Moon's U. L. . . . (3 Tauri Moon's U. L. . . . Moon's U. L. . . . Moon's L. L. Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in tbe tables above, are those corresponding to tbe time of passage of the Limb which was observed with the Transit. (286) KEUUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. 0. Correction for Index Error Tabular Horizontal Equatoreal Parallax. Parallax. Increase ol Moon's N.P.D. during th Passage o Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliijuity of Ecliptic. 23. 27'. 1816. Mar. 18 Apr. < 5 6 8 10 11 14 18 19 20 May 2 6 13 O f II 73. 51. 28-70 106.25.58-50 84. 17. 40-00 61.33. 5-90 82. 37. 20-30 65.21. 51-40 61.31.51-20 44.11.54-10 65. 16. 20-50 84. 17. 45-70 61.31.51-00 44.11.55-10 74. 39. 38-00 44. 11. 53-85 86. 52. 12-70 93. 32. 33-20 84. 17. 44-60 61.31.49-70 10. 49. 52-20 14.34. 8-20 61.33. 5-90 84. 17. 46-50 61.31.50-00 12. 17. 59-50 82. 37. 19-20 84. 17. 45-30 61. 31. 50-60 84.17.46-20 77. 7.29-70 74.23.18-20 77. 51. 17-60 14.48.25-70 ' 35. 20. 1 67. 54. 4 45. 46. 2 23. 1.46 44. 6. 26. 50. 3 23. 0. 3 5. 40. 34 26.45. 1 45. 46. 26 23. 0. 31 in. 29-45 29-5C 29-50 29-85 29-85 29-85 29-85 29-71 29-71 29-70 29-70 29-44 29-08 29-15 29-34 29-54 29-45 29-45 29-50 29-52 29-76 29-80 29-80 29-90 29-92 29-90 29-90 29-72 29-75 29-75 29-88 29-66 o 46-0 42-0 40-0 46-0 44-0 43-0 38-0 50-0 44-0 43-0 43-0 50-0 37-0 52-0 41-0 41-0 35-0 35-0 30-0 41-0 49-0 49-0 49-0 39-0 51-0 50-0 50-0 55-0 51-0 51-0 50-0 36-0 / // 0. 40-8 2. 22-6 1. 0-0 0.24-8 0. 56-8 0. 29-7 0. 25-2 0. 5-74 // 16-12 29-8 48-38 31-5 17-66 17-44 1-06 48-16 17-40 1-14 1-50 47-93 17-09 32-09 47-77 16-96 17-17 47-74 16-94 47-24 17-56 0-96 / u + 0. 6-53 + 0. 8-70 + 0. 8-33 + 0. 0-79 + 0. 0-51 + 0. 0-99 + 0. 1-22 + 0. 2-38 + 0. 1-54 + 0. 0-36 + 0. 2-05 + 0. 2-75 + 0. 2-38 + 0. T56 + 0. 1-72 + 0. 2-32 + 0. 1-80 + 0. 2-82 + 0. 1-67 + 0. 2-51 + 0. 1-83 + 0. 1-07 ' i 57. 20-27 58. 7-15 60. 20-77 60. 58-03 60. 49-57 58.48-07 55. 18-44 54. 44-32 59. 41-76 57. 44-53 / (/ 25. 40-6 25. 56-6 35.21-93 45. 20-45 49.38-12 55.51-96 53. 32-14 52. 24-93 37.37-11 55. 57-06 // 2-52 + 1-97 + 14-59 + 18-31 + 18-37 + 11-39 4-52 - 7"27 + 15-47 + 5-24 1 II 64. 56. 43-84 65. 12. 23-88 64. 50. 53-09 65. 6.45-92 74. 4.45-06 74. 21. 14-40 86. 7.41-20 86. 24. 20-72 92.44. 2-49 93. 0. 39-70 109. 57. 19-53 109.41. 15-51 113.44.24-38 13.59.31-14 11.28. 50-98 11.43.48-42 77. 14. 14-37 77. 30. 33-05 113.56. 33-98 114. 12. 20-64 ! it 49-69 49-C9 49-68 49-66 49-66 49-63 49-60 49-59 49-39 49-30 /3 Tauri Moon's U. L. . . Pollux Capellfi . . Moon's U. L Procyon 0. 29-46 1. 0-08 0. 24-86 0. 5-68 0. 42-37 0. 5-60 I. 5-21 1. 23-39 1. 0-58 0.25-01 3. 5-33 3. 50-97 0. 24-63 0. 69-55 0. 24-64 3. 21-59 0.56-17 0. 59-62 0. 24-67 0. 58-53 0. 46-03 0.41-69 0. 47-55 3. 58-64 Pollux Capella 5. 40. 35 36. 8. 18 5. 40. 34 48. 20. 53 55. 1. 13 45. 46. 25 23. 0. 30 72. 18. 32 76. 2. 48 23. 1. 46 45. 46. 27 23. 0. 30 73. 46. 40 44. 5.59 45. 46. 25 23. 0. 31 45. 46. 26 38. 36. 10 35. 51. 58 39. 19. 58 76. 17. 6 Moon's U. L. . . . Capella Moon's U. L. . . . Moon's U. L. . . . Procyon Pollux Moon's L. L. ... Moon's U. L. . . . |3 Tauri Procyon Pollux Moon's U. L. . . . a Orionis Pollux Procyon Regulus |3 Leonis Moon's U. L Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (287) 1 Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular I N. P. D. Correction for Index Error. Tabular Horizontal Equatorial Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi, diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of I L. or 2 L. Tabular Obliciuity of Ecliptic. 23. 27'. 1816. Maj<14 June 2 3 5 8 9 10 12 13 16 17 July 5 7 8 9 O t II 77. 7.28-70 74. 23. 16-70 76. 3.21-45 69.50.44-10 77. 7.29-50 81.46. 4-30 74. 23. 15-00 69. 50. 41-50 114. 19. 44-00 115.34. 4-70 77. 7.28-50 74. 23. 14 40 82. 58. 21-50 114. 30. 48-00 74.23. 15-10 69. 50. 40-00 82. 58. 21-50 99.31.35-20 94.27. 9-10 82. 58. 19-60 109. 1.35-90 75.22.41-95 51. 22. 35-80 115. 2.23-80 51.22.35-20 73.51.28-30 75. 22. 41-50 51.22.34-00 115.41. 1-50 O f II 38.36. 9 35. 51. 57 37.32. 1 31.19.24 38. 36. 10 43. 14. 44 35. 51. 55 31.19.22 75. 48. 24 77. 2.45 38.36. 9 35. 51. 54 44.27. 2 75. 59. 28 35. 51. 55 31. 19. 20 44.27. 2 61. 0.15 55. 55. 49 44.27. 70. 30. 16 36.51.22 12.51. 16 76.31. 4 12.51.15 35.20. 8 36. 51. 22 12. 51. 14 77. 9.42 in. 29-73 29-75 29-85 29-90 29-89 2994 29-55 29-32 29-32 29-75 29-98 29-98 29-98 29-97 29-90 29-90 29-90 29-89 29-80 29-72 29-72 29-72 29-72 29-55 29-55 29-55 29-55 29-58 29-50 o 50-0 44-0 65-0 54-0 61-0 58-0 54-0 46-0 42-0 46-0 66-0 64-0 50-0 44-0 64-0 49-0 46-0 50-0 55-0 55-0 55-0 54-0 52-0 52-0 52-0 66-5 54-0 52-0 49-0 / // 0. 46-09 0. 42-29 0.43-21 0. 35-06 0. 45-32 0. 53-79 0. 41-15 0. 34-95 3. 45-02 4. 8-06 0. 45-01 0. 40-92 0. 57-09 3. 52-07 0. 40-81 0. 35-42 0.57-41 1. 44-40 1. 24-53 0. 56-02 2. 39 96 0. 42-91 0. 13-12 3. 53-83 0. 13-05 0. 39-36 0. 42-67 0. 13-06 4. 6-61 H 16-84 59-86 19-48 15-77 58-09 18-65 15-36 57-63 20-82 57-57 17-66 20-34 18-30 29-93 52-84 52-27 12-00 29-29 51-70 / // + 0. 2-05 + 0. 0-87 + 0. 0-32 + 0. 0-95 + 0. 1-94 + 0. 2-20 + 0. 1-85 + 0. 2-31 + 0. 2-23 + 0. 1-66 + 0. 2-24 + 0. 1-43 + 0. 2-68 + 0. 5-07 + 0. 3-92 + 0. 4-02 + 0. 4-34 + 0. 5-12 + 0. 4-64 / U 59. 8-51 59. 19-40 57. 55-54 57. 16-38 55. 54-86 54. 16-88 54. 16-56 58. 7-63 57. 8-79 56. 2-47 / 35. 48-78 40. 25-80 56. 0-87 55.40-41 54. 6-61 47. 18-39 44. 46-80 54. 37-98 55. 25-70 54. 30-33 + 14-42 + 16-16 + 7-30 + 2-86 6-13 12-18 12-77 + 12-04 + 4-51 3-72 o / // 75.28. 2-10 75.44. 11-71 81. 6. 16-77 81. 22. 29-36 113.27.22-85 113.11.33-19 114. 42. 37-30 114.58.16-28 113.40.30-46 113.55.47-16 98. 45. 50-81 99. 0.40-76 93. 43. 35-84 93. 58. 25-70 108. 9.29-73 108. 25. 22-69 114.10.51-60 114.26.28-50 114. 50. 38-57 114.35.19-78 49-13 49-12 49-11 49-10 49-11 49-11 49-12 49-30 49-33 49-37 Moon's U. L Re^ulus Moon's U. L Moon's L. L. ... Moon's U. L.. . . a Serpentis Moon's U. L. . . . /3 Leonis Arctnrns a Serpentis Moon's U. L Moon's TJ. L. . . . a Serpentis Moon's U. L. . . . a Herculis a Lyras Moon's U. L Aldebaran a Herculis ...'.. Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (288) KEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Daj-. Name of Object. Circle Reading. Approx- imate Zenitli Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of 1 Star's Tabular N.P.D. Correction for Index Error Tabular Horizontal Equatorea! Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transi of 1 L. or 2 L. Tabular Obliquity uf Ecliptic. j23.27'. 1816. July 10 11 12 13 15 Aug. 3 4 5 7 8 Sep. 2 6 O 1 II 69. 50. 37-50 61. 22. 34-20 113. 8.28-30 44. 12. 3-25 82. 58. 17-80 62.39. 0-50 82.58.20-10 51.22.32-60 106. 0. 2-00 69. 50. 36-50 101.24.32-10 82.58.19-15 75. 22. 40-90 75. 22. 38-50 114.32. 6-50 81.35.29-50 82.37. 9-80 116.19.22-00 81. 35. 31-00 61.33. 6-30 82. 37. 8-90 06. 25. 46-60 77. 16. 58-75 51.22.27-60 11.45. 0-70 81. 35. 30-00 08. 1. 19-60 81.35.27-10 15. 17. 14-10 03. 4.12-50 84. 17. 36-00 51. 22. 22-75 81.35.28-00 05. 8.45-60 Of" 31. 19. 18 12. 51. 14 74.37. 8 5.40^43 44. 26. 58 24. 7.4 44.27. 12.51.13 67. 28. 42 31.19.17 62. 53. 12 44. 26. 59 36 51 21 In. 29-43 29-44 o 59-0 54-0 49-0 62-0 56-0 55-0 55-0 51-0 47-0 61-0 47-0 59-0 54-0 57-0 56-0 53-0 59-0 57-0 55-0 56-0 58-0 59-0 60-0 57-0 54-0 55-0 53-0 44-0 44-0 44-0 46-0 52-0 51-0 46-0 / // 0. 34-16 0. 12-95 3. 25-23 0. 5-56 0. 55-53 0. 25-58 0. 55-98 0.13-16 2.19-38 0. 34-41 1. 53-30 0. 55-20 0. 42-62 0. 42-70 3. 45-03 0. 53-66 0. 54-97 4. 16-70 0. 53-32 0. 24-32 0.55-17 2. 19-12 0. 45-44 0. 12-99 3. 7-50 0.53-18 2. 31-57 0. 54-46 4. 3-03 2. 1-93 0. 59-67 0. 13-09 0. 53-79 2. 13-87 n 15-43 51-43 11-60 17-75 30-04 17-67 50-87 15-24 17-41 28-41 26-OC 29-01 7-81 28-85 33-15 7-60 10-03 46-75 44-43 28-28 25-56 19-99 38-97 39-82 25-31 t i + 0. 3-77 + 0. 4-28 + 0. 2-79 + 0. 4-42 + 0. 3-96 + 0. 1-59 + 0. 5-11 + 0. 4-33 + 0. 3-06 + 0. 4-89 + 0. 4-86 + 0. 5-85 + 0. 3-04 + 0. 4-53 + 0. 2-53 + 0. 3-53 -1-0. 4-31 + 0. 2-56 + 0. 3-84 + 0. 5-10 + 0. 4-00 + 0. 5-56 + 0. 3-30 + 0. 3-98 + 0. 3-52 / a 55. 30-43 54. 37-75 54.21-16 57. 0-11 56. 27-39 55. 1-40 54. 39-01 55. 27-28 54. 19-64 / // 53. 22-49 50. 18-25 48. 12-73 55. 10-05 55. 2-85 52. 32-42 51. 2-33 53. 50-86 49. 42-72 it 6-95 10-92 11-96 + 5-71 + 1-57 8-53 10-44 - 4-93 11-37 o / a 112.18.27-92 112.33.37-96 105.11.55-76 105.26.51-40 100.38. 4-80 100. 52. 55-91 113.40.40-35 113. 56. 14-88 115.28.38-01 115.13.12-40 110.55.39-61 110.40.37-51 107. 12. 42-23 106.57.46-25 114.27.35-49 114.12.26-32 104.21.31-54 104. 6.40-85 49-38 49-43 49-44 49-92 49-94 50-02 50-05 50-63 i 50-68 Moon's U. L. . . 29-44 29-48 29-52 29-70 29-70 29-74 29-76 29-77 29-80 29-52 29-52 29-75 29-75 29-75 29-76 29-69 29-68 29-81 29-81 29-81 29-74 29-72 29-70 29-60 29-59 29-64 29-65 29-65 29-68 29-65 29-70 29-72 a. Serpentis .... aCoronae Boreali a. Serpentis a Lyra; Moon's U. L. . . . Arcturus. . . . Moon's U. L. . . . a Serpentis Herculis . . . a Herculis 36. 51. 19 76. 0.47 43. 4.10 44. 5. 50 77.48. 2 43. 4.11 23. 1.46 44. 5.49 67. 54. 27 38. 45. 39 12.51. 8 73. 13. 41 43. 4.10 69.30. 43. 4 7 Moon's U. L. . . . a Aquilae Orionis Moon's L. L. ... a Aquilae ft Tauri a Orionis a Ophiuchi a Lyras Moon's L. L. . () a Aquilae Moon's L. L. . . . a, Aquilas Moon's L. L. ... a s Capricorni . . . Procyon 6. 45. 54 64. 32. 53 5. 46. 16 2.51. 3 3. 4. 8 6. 37. 26 a Lyras a Aquilse Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. i ' () The correction for increase of N. P. D. during passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. X SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (289) Year, Mouth, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1816. Sep. 7 10 11 15 30 Oct. 1 13 14 15 26 27 28 29 a, Aquilae o < 81. 35. 29-00 82.58. 15-75 77. 16. 55-50 81. 35. 29-55 79. 10. 6-50 84. 1.29'SO 74.30.21-75 84. 17. 34-50 61.31.52-10 69. 50. 39-40 62. 39. 0-40 79. 48. 35-25 65. 2.50-20 81.35.26-60 103. 1.57-00 110.42.49-80 91.11. 2-10 65. 11.54-00 45.21.48-85 91.11. 1-00 69. 50. 43-00 91. 11. 1-50 75. 45. 50-00 70.41.27-60 84. 1.29-00 103. 1.56-10 120.28.58-10 115. 0.46-55 81.35.26-60 84. 1.30-00 103. 2. 0-50 112. (!. 17-00 81.35.27-50 103. 4. 17-50 o i a 43. 4. 9 44. 26. 56 38. 45. 36 43. 4. 10 40. 38. 47 45.30. 10 35. 59. 2 45. 46. 15 23. 0.32 31. 19. 19 24. 7.40 41.17.15 26. 31. 30 43. 4. 7 64. 30. 37 72. 11. 30 52. 39. 42 26. 40. 34 6. 50. 29 52. 39. 41 31. 19. 23 52. 39. 42 37. 14. 30 32. 10. 8 45.30. 9 64. 30. 36 81.57.38 76. 29. 27 43. 4. 7 45. 30. 10 64. 30. 41 73. 34. 57 43. 4. 8 64. 32. 58 in. 29-78 29-67 29-70 29-70 29-75 29-80 29-85 29-90 29-90 29-96 29-96 29-96 29-94 29-66 29-66 29-56 29-56 30-00 30-07 30-07 30-10 30-08 30-07 30-00 29-60 29-60 29-60 29-56 29-50 29-50 29-50 29-50 29-42 29-42 o 56-0 61-0 58-0 54-0 51-0 51-0 47-0 55-0 55-0 70-0 67-0 58-0 54-0 51-0 50-0 53-0 53-0 44-0 53-0 51-0 57-0 52-0 49-0 45-0 42-0 42-0 41-0 48-0 52-0 52-0 52-0 51-0 47-0 47-0 / // 0. 53-39 0. 55-25 0.45-57 0. 53-46 0. 49-49 0. 58-74 0. 42-35 0. 59-01 0. 24-42 0. 34-02 0.25-19 0. 50-26 0. 28-80 0. 53-72 2. 0-27 2. 55-72 1. 14-69 0. 29-65 0. 6-96 1. 16-29 0. 35-08 1.16-16 0. 44-48 0. 37-03 0. 59-44 2. 2-03 6. 33-93 3. 55-41 0. 53-32 0. 58-04 1.59-14 3. 11-57 0. 53-72 2. 0"24 // 25-16 15-61 44-93 24-98 33-75 38-87 22-36 17-10 29-06 28-50 24-21 2-59 21-03 0-88 21-07 22-02 21-10 39-87 33-70 3-56 38-05 24-76 33-82 3-64 24-82 21-68 ' // + 0. 2-77 + 0. 4-61 + 0. 3-86 + 0. 1-97 + 0. 5-51 + 0. 5-36 + 0. 5-84 + 0. 3-68 +0. 3-47 + 0. 2-99 + 0. 3-89 + 0. 5-32 + 0. 4-24 + 0. 5-07 + 0. 3-78 + 0. 3-94 + 0. 3-44 + 0. 5-39 + 0. 5-26 + 0. 5-43 + 0. 6-02 + 0. 4-84 + 0. 5-78 + 0. 4-00 + 0. 3-60 + 0. 3-94 / // 54. 18-11 54. 39-95 57. 36-30 54. 44-38 57. 19-84 59. 8-35 55. 56-77 55. 14-49 / 35. 10-42 31. 55-04 25. 30-75 51. 58-35 25. 31-58 31. 16-10 54. 15-73 52. 50-82 n -12-29 11-31 + 0-30 9'40 + 3-08 + 11-76 - 6-26 8-88 o / // 78. 35. 36-76 78. 50. 27-04 73.59. 3-32 74. 13. 59-56 64.37.51-93 64.22. 7-52 109.54. 0-05 109.39. 2-59 64. 46. 59-41 64. 31. 19-49 70.11. 4-55 69. 54. 54-99 114.10.38-06 113. 55. 20-84 111.16.51-50 111. 1.45-82 it 50-77 50-78 50-84 50-92 50-88 50-87 50-76 50-74 a Serpentis a Ophiuchi a Aquilae Moon's U. L. . . . j3 Aquilae Moon's U. L. . . . Pollux a Coronae Borealis y Aquilae Moon's L. L. ... a. Aquilae a 1 Capricorni . . . Moon's L. L. ... a Aquarii Moon's L. L . ... Cvsrni . a Aquarii Moon's L. L . . . . a 1 Capricorni . . . Fomalhaut Moon's L. L . . . . a Aquilas. ...... j3 Aquilae a, 1 Capricorni . . . Moon's L. L. ... a Aquilae a 2 Capricorni. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above are those corresponding to the time of passage of the Limb which was observed with the Transit. GREENWICH LUNAR REDUCTIONS. 2(P) (290) KEDTJCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L.or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1816. Oct. 29 30 31 Nov. 1 2 3 4 6 7 9 10 23 24 28 29 Moon's L. L. . . a Ophiuchi. . . . Moon's L. L. . . (3 A uuili'f . 1 II 108. 16. 16-50 77.16.58-50 98.47. 5-95 84. 1.31-60 91.11. 1-50 88. 9.45-00 69. 50. 48-90 51. 22. 23-60 81.35.27-00 82.51.41-00 91.11. 3-00 68.53. 3-25 79. 48. 33-50 81. 35. 26-30 91.11. 4-50 66. 1. 4-00 79. 48. 36-00 81. 35. 29-40 66. 11. 7-70 69. 50. 49-00 69. 50. 51-50 51.22.27-00 81. 35. 25-00 13.32.31-10 95. 33. 20-00 81.35.26-85 75. 45. 50-00 90. 12. 10-20 69.50.52-10 o 69. 44. 5 38. 45. 39 60.16.46 45. 30. 12 52. 39. 42 in. 29- 3 29- 1C 29-16 29-25 29-26 29-16 29-35 29-40 29-46 29-54 29-60 29-30 29-25 29-25 29-27 29-31 28-70 28-70 29-60 29-65 29-82 29-82 29-84 29-84 30-25 30-38 30-38 30-40 30-50 o 45-C 51-C 45-C 47-0 43-0 44-0 47-0 44-0 42-5 41-0 46-0 41-0 37-0 37-0 34-0 28-5 43-0 43-0 25-0 33-0 23-5 29-0 28-0 26-0 40-0 42-0 38-0 36-0 33-0 / // 2. 35-0 0. 45-2 1. 39-9 0. 58-14 // 47-93 34-05 21-58 26-3o 41-50 25-11 21-68 29-29 25-41 21-82 29-47 25-57 28-39 31-90 45-77 27-01 27-62 39-60 33-58 / + 0. 4-15 + 0. 4-31 + 0. 4-61 + 0. 2-54 + 0. 4-70 + 0. 3-82 + 0. 2-80 + 0. 4-56 + 0. 4-58 + 0. 0-39 + 0. 3-83 + 0. 3-33 + 0. 3-08 + 0. 3-13 + 0. 4-96 + 0. 5-32 + 0. 4-72 + 0. 3-62 + 0. 4-12 / H 54.42-12 54. 6-58 54. 4-05 54. 12-70 55. 7-29 55. 33-90 57. 17-48 56. 6-68 54. 10-92 54. 7-81 / a 51. 10-24 46. 48-92 41. 0-80 37.41-79 27. 39-40 25. 26-80 26. 23-24 54. 3-89 45. 17-01 42.17-17 ft 10-67 12-64 13-17 12-96 9-06 6-18 + 5-93 8-19 13-02 13-22 Q t H 107. 27. 55-77 107. 12. 58-93 98. 2. 13-96 97. 47. 26-84 87.30. 8-59 87.15.22-15 82. 15. 13-03 82. 0.24-22 68. 25. 52-74 68. 40. 56-45 65.36. 5-20 65.51. 16-18 65. 45. 25-56 65. 29. 46-29 112.42.24-29 112.27. 4-35 94. 49. 52-43 94.35. 4-12 89.31.26-75 89. 16. 38-78 n 50-72 50-70 60-67 50-66 50-62 50-60 50-56 50-39 50-35 60-34 a Aquarii 1. 15-47 1. 7-40 0. 34-9 0. 13-20 0. 54-29 0. 57-09 1. 15-88 0. 33-97 0. 51-23 0.54-53 1.16-93 0. 31-00 0. 49-64 0.52-84 0. 31-76 0. 36-31 0. 37-27 0. 13-81 0. 56-69 3. 44-42 1.32-27 0. 56-05 0. 45-98 1.16-81 0.37-36 Moon's L. L. ... Arcturus 49.38.25 31. 19. 29 12.51. 4 43. 4. 7 44. 20. 21 52. 39. 43 30.21.43 41 17 14 a Lyras a Aquilae Moon's L. L . ... a Aquarii Moon's U. L a Aquilae 43. 4. 6 52. 39. 45 27. 29. 44 41. 17. 16 43. 4. 9 27. 39. 48 31.19.29 31. 19. 32 2.51. 7 43. 4. 5 5. 1.11 7. 2. 3. 4. 7 7. 14. 30 1. 40. 50 1. 19. 32 Aquarii Moon's U. L Y Aquilas a, Aquilse Moon's L. L. ... Arcturus Arcturus a. Lyrae a. Aquilae Moon's L. L. ... Moon's L. L. ... a Pegasi Moon's L. L. ... Arcturus The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (291) Year, Month, nnd Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal quatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of 'enter, at Transit of !L.or2L. Tabular Obliquity of Ecliptic. 23. 27'. 1816. Nov. 30 Dec. 1 3 8 10 11 13 25 26 27 29 1817. Jan. 3 O ' /' 81. 35. 27-25 75. 45. 47-50 79. 40. 37-10 81.35.28-30 81. 35. 29-85 68. 4.53-60 69. 50. 55-70 51.22.31-75 81. 35. 30-50 77. 1.30-40 51. 22. 32-70 45.21.53-50 75. 45. 51-00 61.54.40-50 82. 53. 57-75 75. 45. 51-25 61. 54. 41-40 73.51.17-60 95.48. 2-00 81. 35. 32-75 97. 39. 41-50 61. 54. 40-70 92. 19. 27-95 67. 23. 51-90 61. 32. 57-50 75. 45. 53-00 86. 57. 24-30 67. 23. 52-50 73. 51. 17-50 81. 35. 34-00 67. 23. 51-50 76.45.51-70 73. 51. 17-90 75. 45. 54-00 o / // 43. 4. 7 37. 14. 28 41. 9.17 43. 4. 8 43. 4.10 29. 33. 34 31. 19.36 12.51.12 43. 4.11 38. 30. 10 12.51.13 6. 50. 34 37. 14. 31 23.23.21 44. 22. 38 37. 14. 31 23.23.21 35. 19. 58 57. 16. 42 43. 4.13 59. 8.22 23. 23. 21 53.48. 8 28. 52. 32 23. 1.38 37. 14. 33 48.26. 4 28. 52. 33 35. 19. 58 43. 4. 14 28. 52. 32 38. 14. 32 35. 19. 58 37. 14. 34 in. 30-54 30-53 30-45 30-30 29-53 29-65 29-60 29-52 29-52 29-21 29-21 29-22 29-28 29-28 29-36 29-15 29-17 29-23 29-30 29-72 29-68 29-68 29-35 29-40 29-44 29-36 29-42 29-45 29-52 29-53 29-76 29-76 29-80 29-54 o 35-0 32-0 29-0 36-0 38-0 33-0 36-0 39-0 39-0 41-0 40-0 37-0 35-0 34-0 34-0 38-0 38-0 34-0 35-0 40-0 35-0 35-0 42-0 40-0 38-0 36-5 36-5 36-5 34-0 43-0 38-0 38-0 37-0 39-0 / // 0.57-17 0. 46-79 0. 53-99 0. 56-61 0. 54-94 0. 33-84 0. 36-03 0. 13-39 0. 54-80 0. 45-97 0. 13-22 0. 7-00 0. 44-59 0.25-44 0. 57-65 0. 44-12 0. 25-13 0.41-60 1.31-16 0. 55-06 1.39-25 0. 25-73 1. 19-06 0. 32-15 0. 24-92 0. 44-57 1. 6-20 0. 32-45 0.42-01 0. 54-37 0. 32-68 0. 46-69 0.42-15 0.44-61 If 27-75 39-65 28-12 28-80 36-09 50-09 29-10 50-37 4-68 40-30 9-80 40-44 9-83 3-68 31-36 10-34 27-10 26-72 41-66 27-11 3-92 32-02 27-14 3-95 42-41 / // + 0. 3-33 + 0. 5-36 + 0. 3-21 + 0. 4-01 + 0. 4-36 + 0. 4-95 + 0. 3-80 + 0. 4-45 + 0. 4-18 + 0. 4-71 + 0. 3-86 + 0. 5-07 + 0. 3-30 + 0. 4-48 + 0. 3-55 + 0. 3-91 + 0. 3-05 + 0. 4-30 + 0. 4-09 + 0. 2-16 + 0. 4-41 + 0. 3-65 + 0. 2-96 + 0. 3-90 + 0. 3-90 / ii 54. 28-28 57.41-61 58. 36-82 59. 1-64 59. 38-75 54. 28-28 54. 14-90 54. 12-67 54. 39-85 / // 35. 39-10 28. 14-91 36. 16-61 41. 4-40 49. 59-32 46. 35-26 43. 35-83 40. 22-38 33. 38-26 g 12-68 + 8-80 + 14-74 -t- 16-51 + 17-66 13-01 -13-21 13-12 12-13 O ' 79. 6. 8-64 78. 51. 15-59 67. 37. 25-51 67. 21. 39-64 76. 26. 18-88 76. 10. 17-94 82. 14.11-81 81.58. 4-08 94. 59. 55-78 94. 43. 37-92 96.55. 2-00 96.40. 8-95 91.37.28-14 91. 22. 38-73 86. 18. 24-79 86. 3.35-99 76. 13. 15-76 75.58.19-54 II 50-32 50-29 50-29 50-29 50-29 50-34 50-35 50-37 50-39 a Pegasi Moon's L. L. ... Moon's L. L. ... Arcturus a. Lyra: Moon's L. L. ... Pegasi a. Andromedae . . Moon's L. L. ... a, Pegasi a Andromedae. . . Aldebaran Moon's L. L. ... a Aquilae Moon's L. L. ... Andromedce. . . Moon's L. L. ... |3 Tauri a Pegasi Moon's L. L. ... a Arietis. . . . a Aquilae Moon's L. L. ... Aldebaran a, Pegasi The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 2 (P)2 (292) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error Tabular Horizontal Equatorea Parallax. Parallax. Increase ol Moon's N.P.D. during the Passage of Semi, diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transi of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1817. Jan. 3 a. Andromedae . o / a 61.54.41-90 67. 23. 52-60 64. 33. 32-40 73. 51. 18-40 77. 17. 10-70 70. 38. 30-00 51. 22. 40-85 81.35.34-15 67. 23. 50-00 73. 51. 15-50 81.11.30-90 67. 23. 50-60 73. 51. 16-10 61. 32. 53-80 87.28. 4-50 81. 35. 33-00 73. 51. 15-00 44. 11.45-90 100. 12. 52-00 73. 51. 16-50 44. 11.46-35 105.59. 7-60 70. 0.32-00 73. 51. 15-00 64. 8.32-40 73. 51. 17-50 44.11.44-30 61.32.54-60 65.26. 11-10 68.25. 3-00 06.26. 0-30 98. 33. 40-00 o / '/ 23. 23. 22 28. 52. 33 26. 2.12 35. 19. 58 38. 45. 51 32. 7.10 12.51.21 43. 4.14 28. 52. 30 35. 19. 56 42. 40. 1 1 28. 52. 31 35. 19. 56 23. 1.34 48. 56. 45 43. 4. 13 35. 19. 55 5. 40. 26 61.41.32 35. 19. 57 5. 40. 26 67. 27. 48 31.29.12 35. 19. 55 25. 37. 12 5. 19. 58 5. 40. 24 3. 1. 35 6.54.51 9. 53. 43 7. 54. 40 0. 2.20 in. 29-56 29-6 29-5 29- 15 29-74 29'63 29-45 30-2" 30-32 o 38-0 37-0 43-0 47-0 41-0 34-0 43-0 37-0 33-0 31-0 27-0 31-0 29-0 29-0 31-0 33-0 27-0 26-0 27-0 32-0 32-0 30-0 43-0 42-0 45-0 43-0 42-0 42-0 37-0 39-0 46-0 44-0 / // 0. 25-47 0. 32-57 0. 28-46 0. 40-38 0. 47-24 0. 37-35 0. 13-25 0. 56-34 0. 33-65 0. 43-44 0. 57-01 0. 33-84 0. 43-67 0. 26-21 1. 10-46 0. 57-28 0. 44-03 0. 6-18 1. 54-49 0.43-19 0. 6-05 2. 25-81 0. 36-02 0. 42-47 1 0. 28-47 0.42-39 0. 5-95 0.25-48 0. 30-76 0. 34-74 2. 23-72 1.41-97! i n 11-05 27-22 / // + 0. 3-68 + 0. 2-05 + 0. 5-25 + 0. 3-31 + 0. 4-40 + 0. 3-05 +0. 3-66 + 0. 5-14 + 0. 2-89 + 0. 4-13 + 0. 6-03 + 0. 3-59 + 0. 5'08 + 0. 4-33 + 0. 4-46 + 0. 3-75 + 0. 6-95 + 0. 4-61 + 0. 3-59 + 0. 4-96 + 0. 4-06 i n 57.31-74 58. 30-74 59. 3-71 59. 10-62 59. 9-81 59. 2-46 55. 12-87 57. 26 38 58. 13-66 58. 55-45 59. 35-05 > // 25. 2-30 30. 53-65 39.49-18 44. 25-27 51. 54-47 54. 21-92 28. 38-09 24. 37-42 26. 8-46 29. 9-00 51.26-15 it + 3-19 + 11-56 + 16-24 + 17-20 + 16-65 + 15-00 9-52 + 1-13 + 5-94 + 10-41 + 17-34 O 1 II 64. 9. 4-93 64. 24. 48-09 70. 8.29-58 69. 52. 30-30 80. 32. 58-92 80. 16. 50-63 86.45. 11-24 86. 29. 1-06 99. 23. 13-00 99. 7. 3-04 105. 7.30-92 104.51.22-98 69. 32. 47-00 69.17.41-76 63. 44. 26-71 64. 0. 8-42 65. 0.31-85 65. 16. 26-46 67. 56. 33-13 68. 12. 39-17 97. 44. 17-33 97. 28. 0-48 50-48 50-51 50-55 50-56 50-59 50-62 50-98 51-06 51-09 51-11 51-24 Moon's U. L. . . 4-oa 1-25 * 58-50 33-54 27-31 5 r 8 9 10 11 27 30 31 Feb. 1 r, a Ophiuchi Moon's L. L. ... a Lyrae tx, Aquilas ....... a Arietis Aldebaran 30-33 30-36 30-36 30-36 30-38 30-40 30-47 30-48 30-48 30-36 30-22 30-22 30-06 30-34 30-34 30-25 30-35 30-35 30-35 30-36 30-41 29-98 29-98 4-08 27-33 3-90 26-04 33-8" 4-11 Moon's L. L. ... a Arietis Moon's L. L. ... Aldebaran Capella 56-41 Moon's L. L. ... Aldebaran 4-15 56-15 4-42 4-50 53-84 25-04 28-08 Capella Moon's L. L. ... Moon's L. L. ... Aldebaran ... . Moon's U. L. . . . Aldebaran Capella Tauri Moon's U. L Moon's U. L. ('). Sirius. Moon's L. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (*) The correction for increase of N. P. D. during passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (293) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenitli Distance. Baro- meter. Ther- mo- neter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular horizontal Kquatoreal Parallax. Parallax. increase of Moon's N.PJX during the Pauage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 23. 27'. 1817. Feb. 6 7 8 20 21 26 27 Mar. 3 4 6 . 7 8 9 O 1 II 51.22.50-40 81. 35. 39-00 104. 34. 46-00 73. 51. 18-20 73.51.19-00 45. 22. 15-05 80.22. 0-60 106.26. 1-40 63. 54. 54-80 81.35.42-65 45. 22. 14-85 73. 51. 18-40 44. 11. 42-80 57. 42. 46-40 64. 24. 57-25 44. 11.43-50 61.32.55-80 81. 52. 15-30 81. 35. 42-90 73. 51. 19-25 106.26. 2-50 89. 14. 40-60 81. 35. 43-30 106.26. 3-00 84. 17. 49-50 102. 40. 14-70 81. 35. 42-85 84. 17. 48-55 61. 32. 53-00 106.26. 2-10 112.53.54-50 106.26. 1-90 84. 17. 49-50 115. 56. 40-60 1 II 12.51.30 43. 4. 19 66. 3.26 35. 19. 58 35. 19. 59 6. 50. 55 41.50.41 67.54.41 25. 23. 35 43. 4.23 6. 50. 55 35. 19. 58 5. 40. 23 19. 11. 26 25. 53. 37 5. 40. 24 23. 1.36 43. 20. 55 43. 4.23 35. 19. 59 67. 54. 43 50. 43. 21 43. 4.23 67. 54. 43 45. 46. 30 64. 8.55 43. 4.23 45. 46. 29 23. 1.33 67. 54. 42 74. 22. 35 67. 54. 42 45. 46. 30 77. 25. 21 30-06 30-10 30-14 30-15 29-40 29-48 29-40 29-34 29-80 29-52 29-52 29-66 29-68 29-73 29-73 28-87 28-87 28-98 29-14 29-12 29-12 29-17 29-19 29-08 29-10 29-10 29-17 29-24 29-25 29-29 29-30 29-60 29-62 29-80 44-0 47-0 44-0 46-0 46-0 39-0 41-0 37-0 42-0 44-0 47-0 41-0 42-0 41-0 41-0 49-0 49-0 40-0 39-0 41-0 38-0 34-0 36-0 37-0 36-0 32-0 35-0 39-0 38-0 37-0 32-0 39-0 38-C 31-0 / n 0. 13-50 0. 54-97 2. 12-76 0. 41-85 0. 40-81 0. 7-03 0. 52-07 2. 23-33 0. 27-94 0. 54-24 0. 6-93 0.41-60 0. 5-82 0. 20-48 0. 28-56 0. 5-58 0. 23-89 0. 54-21 0.54-11 0. 40-84 2. 21-96 1.11-53 0. 54-54 2. 22-06 0. 59-74 2. 0-57 0. 54-61 0. 59-65 0. 24-76 2. 23-09 3. 28-38 2. 23-99 1. 0-55 4. 24-20 ti 7-86 38-45 4-63 4-86 24-38 29-99 40-72 25-85 4-99 52-28 11-24 52-25 24-39 41-11 5-07 30-96 41-17 31-09 54-70 41-29 54-72 24-39 31-22 31-28 54-7S / // + 0. 3-96 + 0. 4-48 + 0. 4-58 + 0. 5-05 + 0. 2-30 + 0. 5-26 +0. 3-83 + 0. 4-07 + 0. 4-99 + 0. 3-66 + 0. 4-36 + 0. 3-17 +0. 4-70 +0. 4-10 +0. 4-98 + 0. 6-50 + 0. 3-33 + 0. 6-03 + 0. 5-46 + 0. 3-83 + 0. 6-52 + 0. 6-63 + 0. 6-03 + 0. 5-40 + 0. 4-70 / 59. 13-34 54. 6-93 56. 39-21 57. 35-01 60. 36-67 60. 47-79 60. 18-37 59. 1-84 58. 16-97 / * 53. 57-30 35. 54-41 24. 5-05 24. 55-99 41. 23-23 46. 51-29 54. 5-53 56. 42-02 56. 44-73 // + 15-75 12-57 0-96 + 3-63 + 18-13 + 19-07 + 17-36 + 11-05 + 6-56 o * // 103.43.21-55 103. 27. 10-63 79. 47. 15-03 79.32.27-81 63. 31. 22-95 63. 46. 51-77 64. 0.30-53 64. 16. 14-59 81. 12. 8-40 81. 28. 42-08 88. 29. 24-85 88. 12.48-13 101.48.32-21 101.32. 3-53 112. 0.58-30 111.44.50-52 115. 4.31-36 i!14.48.35-85 U 51-27 51-60 51-71 51-72 51-81 51-82 51-86 51-89 51-91 a. AquilcB Moon's L. L. ... Aldebaran Aldebaran Moon's L. L. ... Moon's U. L. . . . a Aquilse Aldebaran Castor Moon's U. L. . . . /3 Tauri Moon's U. L. . . . Aldebaran Sirius Moon's L L. ... a Aquilae Sirius Procyon Moon's L. L. ... a AquiliB Procyon . . fi Tauri Moon's L. L. ... Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. ; Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. -- iDcr^.,: Geocentric R.fr,- : -i = Correction Tabular ^ - ' N p D of v L RtlnC ' 15==: for Honzonta ^^ or L. L., and of , Hon. ?.*. Equatoreal Parallax. . Pa-p of : Center, at Transit | Z Index Error. Parallax, j & *-^ o{ , L or 2 L Titular ONiquitj of Elliptic. J3 : ..T'. 1S17. Mar. 9 10 22 23 24 27 28 29 31 Apr. 1 2 23 26 27 o < < 81.35.41-50 116.50. 19-20 81.35.41-60 73. 51. 18-40 61. 32. 54-60 68.48.20-00 73. 51. 18-20 61. 32. 55-90 84. 17. 49-80 61.31.54-50 65. 9. 5-90 97. 50. 37-90 68. 9.21-50 97- 50. 39-90 81.35.43-80 84. 17. 49-60 77. 7.44-60 85. 1.11-60 81. 35. 42-20 106.26. 4-50 84. 17. 49-40 61.31.54-10 92. 5. 1-30 106.26. 3-90 84. 17. 50-10 97. 50. 38-40 99.33.25-40 84. 17. 50-15 61. 31. 55-00 64. 15. 53-60 77. 7.45-40 45.22.21-70 81.31. 0-80 O f 1* 43. 4.2-2 78. 18. 59 43. 4. -2-2 35. 19. 58 23. 1.35 30. 17. 35. 19. 58 23. 1.36 45. 46. 30 23. 0.35 26. 37. 4ti 59. 19. 18 29.38. 2 59. 19. 20 43. 4.24 45.46.30 38. 36. 25 46. 29. 52 43. 4.22 67. 54. 45 145. 46. 29 23. 0.34 53. 33. 41 67.54.44 45. 46. 30 59. 19. 18 61. 7. 5 45. 46. 30 23. 0.35 25.44.34 38. 36. 25 6.51. 2 42. 59. 41 -. 2H"?5 '30-03 30-05 2f->-2 29-83 29-88 29-87 30-00 30-01 30-01 30-01 30-01 29-78 29-78 29-92 30-47 30-48 30-48 30-47 30-41 30-41 3041 30-38 30-27 30-27 30-27 30-25 30-13 30-13 30-13 30-14 29-82 30-03 35-0 35-0 37-0 36-0 35-0 43-0 43-0 41-0 37-0 36-0 36-0 34-0 43-0 43-0 46-0 47-0 42-0 40-0 39-0 49-0 45-0 45-0 39-0 49-0 45-0 42-0 37-0 45-0 45-0 45-0 38-0 41-0 39-0 * // 0. 55-89 4. 43-83 0. 56-03 0. 42-26 0. 25-41 0.34-39 0.41-72 0. 25-24 1. 1-48 0. 25-49 0.30-09 1.41-29 0.33-39 1.38-64 0. 54-75 1. 1-14 0. 48-05 1. 3-63 0. 56-57 2. 24-89 1. 1-27 0. 25-35 1.21-62 2. 24-22 1. 0-99 1. 40-47 1. 49-06 1. 0-70 0.25-12 0. 28-52 0.47-91 0. 7-09 0.55-60 tt 41-48 41-54 5-41 24-57 5-43 24-68 54-76 23-66 21-52 21-57 41-73 54-72 36-05 41-68 31-69 54-71 23-42 31-67 54-68 21-76 54-11 22-79 34-77 30-90 ' + 0. 4-09 + 0. 3-91 +0. 4-75 + 0. 4-56 +0. 5-51 +0. 3-54 + 0. 3-48 + 0. 3-67 + 0. 2-33 + 0. 3-03 +0. 3-18 +0. 3-98 + 0. 3-40 + 0. 2-91 +0. 2-31 + 0. 4-04 +0. 3-97 +0. 3-55 + 0. 3-59 + 0. 2-89 * +0. 3-26 + 0. 2-67 + 0. 1-46 +0. 2-11 / m 57. 32 71 54. 31-52 57. 24-29 58.24-58 60.56-28 61. 17-76 61. 18-34 56. 19-87 59. 57-76 / It 56. 12-S7 27.17-65 25. 31-01 28. 39-82 43. 59-15 49. 6-35 53. 29-50 24. 15-44 40. 40-47 I + 1-77 8-71 + 6-04 + 10-38 + 19-07 + 19-7G + 19-15 + 4-18 + 17-64 O 1 " 115.58.56-16 116. 14.39-59 68.21.50-39 68. 6. 56-45 64.44. 2-50 64. 59. 43-63 67.41. 7-54 67.57. 5-14 84.18. 0-44 84. 34. 39-48 91. 17. 39-77 91. 34. 24-67 98.47. 7-45 98. 30. 22-40 63.52. 4-96 64. 7.28-50 80.51. 0-81 81. 7.23-87 * 51-92 52-01 52-02 52-03 52-02 52-02 52-02 51-85 51-80 Moon's U. L a. Aquilae A klebaran p" Tauri Moon's L. L. Aldebaran p Tanri Procvon Pollux Moon's U. L. ... a H vdrse Moon's U. L. . . . a H vd rse Procyon Regnlns Moon's U. L. a. Aqnilae. . . Sirins Procvon PolliTx Moon's D. L Sirins Procyon a Hydrae Moon's L. L. . . . Procyon ....... Pollux Moon's U. L. . . . ReTilus . ..... a Cveni . . Moon's U. L. . . . The MOOD'S U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NOBTH POLAR DISTANCE. (295; year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star'H Tnlniliirl N. I'.l). Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of MOOD'S N.P.D. during th MM| Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of | Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Eefiptie. 23. 27'. 1817. Apr. 29 May -2 4 5 23 24 25 26 27 31 June 3 20 22 23 o < 81. 35. 41-50 77. 7.45-50 74. 23. 36-50 113.35.24-50 81. 35. 39-25 117.17. 7-50 84. 17. 53-00 61.31.56-50 116.35.56-10 81.35.40-40 81.35.37-25 77. 7.44-60 78.57. 9-15 74. 23. 35-80 85.16. 1-60 74. 23. 37-00 92. 1.25-80 45. 22. 16-60 74.23.36-10 98. 49. 50-50 45. 22. 16-30 117.29. 7-30 81.35.36-90 45. 22. 14-80 77. 7.43-40 77. 7.48-30 77. 11. 55-90 69.51. 4-10 82.58.39-10 81.35.35-10 96. 16. 33-00 o / f 43. 4.22 38. 36. 26 35. 52. 17 ,75. 4. 5 43. 4. 19 78. 45. 48 45. 46. 33 23. 0.37 :78. 4.36 43. 4.20 43. 4.17 38.36.25 40.25.49 35. 52. 16 46. 44. 42 35.52.17 53.30. 6 6. 50. 57 35. 52. 16 60.18.31 6.50.56 78. 57. 47 43. 4. 17 6. 50. 55 38. 36. 23 38. 36. 28 38. 40. 36 31.19.44 44. 27. 19 43. 4. 15 57. 45. 13 m. 29-65 29-90 29-90 29-87 29-83 29-94 30-00 30-00 30-00 30-00 29-40 29-45 29-45 29-45 29-18 29-25 29-25 29-32 29-50 29-50 29-54 29-67 29-67 29-69 29-66 29-70 29-70 29-75 29-75 29-93 29-85 o 41-0 47-0 42-0 35-0 35-0 38-0 61-0 61-0 40-0 4O-0 39-0 54-0 51-0 48-0 50-0 53-0 49-0 44-0 53-0 46-0 40-0 41-0 40-0 41-0 58-0 77-0 77-0 69-0 66-0 60-0 70-0 / 0. 54-82 0. 46-65 0. 42-69 3. 41-03 0. 55-84 4. 52-09 0. 58-51 0. 24-21 4. 34-97 0.55-58 0. 54-58 0.45-29 0. 48-62 0. 41-53 1. 0-19 0. 40-83 1. 16-81 0. 6-92 0.41-18 1.41-01 0. T03 4. 52-62 0. 54-97 0. 7-05 0. 45-25 0. 43-64 0. 43-75 0. 33-86 0. 54-87 0. 53-23 1. 28-05 // 39-25 34-25 21-72 38-82 53-62 22-72 38-39 35-40 33-02 19-80 19-63 26-12 19-54 25-89 33-90 24-94 32-53 31-83 38-49 34-46 29-53 / // + 0. 2-93 + 0. 2-10 + 0. 2-53 + 0. 3-73 + 0. 2-11 +0. 2-01 + 0. 2-41 +0. 3-57 +0. 3-13 +0. 2-47 +0. 1-80 + 0. 2-60 + 0. 2-26 + 0. 2-56 +0. 2-03 +0. 3-09 +0. 3-88 0. 0-11 +0. 0-53 + 0. 0-49 + 0. 1-20 * t 60. 41-86 58. 58-66 57. 58-50 58.41-49 59. 28-34 60. 9-49 60. 40-31 59. 54-58 58. 0-05 59. 36-67 / a 78.34.27-18 78. 19. 39-67 62. 34. 16-19 62. 49. 12-27 78. 22. 30-09 78. 6.64-05 84. 19. 55-86 84. 4. 9-18 80. 20. 42-47 80. 5.48-62 67. 12. 44-57 66. 57. 56-61 64. 35. 32-60 64.20.41-34 tt 52-27 52-29 52-34 52-35 52-60 52-66 52-68 a Pegasi a Andromeda. . . Moon's L. L. ... a, Aquila* Moon's U. L. . . . Moon's L. L. ... a Andromedae. . . Moon's L. L. ... Moon's L. L. ... Moon's L. L . ... Aldebaran Aldcbaran Moon's L. L. ... & Tauri The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (302) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. ofU. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1818. Jan. 19 20 21 24 26 28 29 30 Feb. 13 14 16 17 Moon's U. L. . . . O f It 63. 4.33-00 73. 51. 37-30 61. 33. 19-00 63. 4.29-90 81.36. 0-60 67.24. 1-60 73. 51. 37-25 61.33.18-60 64. 33. 36-40 81.35.59-30 89. 43. 52-40 61. 54. 53-50 67.24. 2-50 73.51.36-50 61. 33. 19-55 102. 36. 32-20 108. 24. 55-00 51. 23. 15-75 73. 51. 37-50 81.36. 2-60 67.24. 1-50 68.46. 5-40 73. 51. 35-00 61. 33. 17-00 67.24. 3-00 65. 41. 43-50 61. 33. 17-00 81.36. 1-80 73. 51. 36-00 44. 12. 4-30 62.43.47-15 73. 51. 37-00 44.12. 4-70 61. 33. 17-80 o / tt 24. 32. 45 35. 19.49 23. 1.31 24. 32. 42 43. 4.13 28. 52. 14 35. 19. 49 23. 1.31 26. 1.48 43. 4.11 51.12. 4 23.23. 6 28.52.15 35. 19.49 23. 1.32 64. 4.44 69.53. 7 12. 51. 28 35. 19. 50 43. 4.15 28. 52. 14 30. 14. 17 35.19.47 23. 1.29 28. 52. 15 27. 9.56 23. 1.29 43. 4.14 35. 19. 48 5. 40. 16 24.11.59 35. 19. 49 5. 40. 17 23. 1.30 30-34 30-10 30-03 30-00 29-87 30-00 30-07 30-10 30-07 29-87 29-73 29-50 29-50 29-52 29-52 29-60 28-93 28-95 28-93 29-23 29-85 29-85 29-85 29-84 29-70 29-07 29-68 29-75 29-84 29-84 29-84 29-85 29-85 29-85 o 35-0 35-0 35-0 36-0 44-0 38-0 35-0 34-0 32-0 36-0 36-0 40-0 35-0 34-0 33-0 33-0 42-0 44-0 41-0 37-0 36-0 32-0 31-0 30-0 34-0 33-0 32-0 31-0 41-0 41-0 41-0 43-0 42-0 42-0 / // o. 27-77 0. 42-74 0.25-58 0. 27-40 0. 54-88 0. 32-94 0.42-70 0. 25-69 0. 29-62 0. 55-80 1. 13-85 0. 25-30 0. 32-60 0. 42-01 0. 25-25 2. 2-01 2. 34-72 0. 13-00 0. 40-57 0. 54-49 0. 32-91 0. 35-09 0. 42-75 0. 25-69 0. 32-89 0. 30-64 0. 25-44 0.56-17 0.41-85 0. 5-86 0. 26-54 0. 41-69 0. 5-85 0. 25-06 // 53-71 19-17 28-39 8-19 53-73 19-14 29-01 52-69 8-59 53-86 18-85 4-90 53-89 29-95 0-73 54-16 18-36 9-81 18-34 31-94 54-22 45-59 54-24 45-53 18-27 / a 0. 26-33 0. 25-41 0. 27-09 -0. 26-35 0. 26-22 0. 25-15 0. 26-09 0.26-11 0. 26-51 0. 24-65 0. 25-95 0. 23-85 0.24-18 0.27-14 0. 24-68 0. 23-59 0. 24-33 0. 26-08 0. 24-10 0. 26-03 -0.23-63 0. 24-57 0. 24-45 0. 25-02 0. 24-59 r a 54.41-14 55. 6-26 55. 35-13 58. 5-26 58. 54-58 59. 15-19 54. 11-73 54. 16-24 54. 56"22 / // 22. 30-89 22. 41-17 24. 11-21 45. 4-42 52. 48-50 55. 28-60 27. 5-54 24. 34-64 22. 18-96 // 2-44 + 1'92 + 5-92 + 17-06 + 16-73 + 15-18 9-35 6-69 + 0-36 O 1 II 62.42. 5-78 62.57. 2-35 62. 41. 47-93 62. 56. 51-36 64. 9.22-98 64. 24. 34-29 88. 59. 52-65 88. 44. 0-33 101. 45. 36-64 101. 29. 30-84 107. 31. 51-24 107. 15. 39-82 68.19.20-10 68. 4. 31-56 65. 17. 20-79 65. 2.31-02 62.21.30-15 62. 36. 30-83 H 52-70 52-73 52-75 52-87 52-92 52-95 53-29 53-31 53-36 ft Tauri Moon's U. L a Arietis ft Tauri Moon's U. L a Aquilae Moon's L. L. ... a Andromeda;. . . Arietis Aldebaran ft Tauri Moon's L. L. ... Moon's L. L. ... a Lyrae Aldebaran a Aquilae Moon's L. L. ... Aldebaran ft Tauri Arietis Moon's L. L. . . . (9 Tauri Aldebaran Moon's U. L. . . . Aldebaran Capella ft Tauri The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAK DISTANCE. (303) Year, I Monti), and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabulari N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of >nter, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27', 1818. Feb.17 20 26 27 28 Mar. 13 16 17 20 21 23 29 Moon's U. L Aldebaran Oil 63. 38. 22-00 73. 51. 37-20 61. 33. 17-50 61. 32. 32-80 74. 46. 35-90 84. 18. 25-50 61. 32. 32-00 116. 3.29-40 81.36. 5-00 66. 5.42-60 73.51.38-25 84. 18. 26-00 61. 32. 30-00 81.30. 4-80 62.51.11-40 57. 43. 20-60 61. 32. 31-70 44.12. 5-50 84. 18. 25-80 61.32. 30-50 64. 36. 22-00 84.18.26-90 77. 8.32-00 77. 48. 36-40 81.36. 5-75 84. 18. 25-50 61.32.31-10 77. 8.32-70 84. 9.57-10 73.51.38-50 106. 26. 37-00 84. 18. 25-80 98. 26. 31-50 117. 14.55-65 o / a 25. 6.34 35. 19. 49 23. 1.30 23. 0.45 36. 14. 48 45. 46. 38 23. 0.44 77.31.41 43. 4.17 27. 33. 55 35. 19. 50 45. 46. 38 23. 0.42 43. 4.17 24. 19. 23 19. 11.33 23. 0.44 5. 40. 18 45. 46. 38 23. 0.43 26. 4.34 45. 46. 39 38. 36. 44 39. 16. 48 43. 4.18 45. 46. 38 23. 0.43 38. 36. 45 45.38. 9 35.19.51 67. 54. 49 45. 46. 38 59. 54. 44 78.43. 8 in. 29-85 29-91 29-91 29-91 29-87 29-67 29-67 29-50 29-50 29-53 29-53 29-62 29-62 29-74 29-55 29-55 29-55 29-86 29-92 29-92 29-92 29-80 29-84 29-84 29-84 29-74 29-74 29-70 29-68 29-45 29-48 29-50 29-53 30-03 o 40-0 39-0 37-0 36-0 34-0 33-0 33-0 36-0 40-0 39-0 39-0 37-0 36-0 33-5 43-0 43-0 43-0 46-0 44-0 44-0 44-0 41-0 38-0 3TO 38-0 44-0 44-0 40-0 40-0 43-0 41-0 40-0 39-0 36-0 / // 0. 27-74 0. 42-12 0. 25-37 0. 25-41 0. 43-97 1. 1-30 0. 25-36 4. 20-89 0. 54-65 0. 30-64 0. 41-59 1. 0-68 0.25-16 0. 55-85 0. 26-33 0. 20-28 0. 24-74 0. 5-81 1. 0-41 0. 25-00 0. 28-80 1. 0-55 0. 47-44 0.48-69 0. 55-52 1. 0-05 0. 24-85 0. 47-02 1. 0-13 0.41-13 2.22-81 1. 0-06 1. 40-97 4. 53-09 II 54-30 18-22 32-39 1-68 31-98 33-37 54-73 1-99 31-00 34-08 15-58 30-82 45-39 2-02 30-77 2-04 5393 * 34-25 2-03 30-54 53-90 54-91 34-19 2-01 / // 0. 25-02 0. 24-65 0. 25-82 0.25-12 0.25-38 0.26-28 -0.25-11 0. 24-69 0.24-16 0. 26-57 0. 25-30 0. 25-62 0. 25-92 0.24-19 0. 24-73 0.25-41 0. 25-51 0. 27-02 0. 23-52 0.25-41 0. 25-82 0. 24-72 0. 25-62 0. 23-85 / // 55. 28' 39 57. 24-09 59. 13-15 54.11-38 56. 1-01 55. 37-88 57. 59-60 58.44-51 59. 46-94 58. 28-56 / n 23. 20-04 33. 43-67 57. 40-85 24. 52-51 22. 27-36 24. 14-81 36. 30-26 41.47-16 51. 32-42 57. 12-40 n + 4-43 + 14-43 + 9-02 7-88 + 2-68 + 6-62 + 15-89 + 17-62 +18-57 5-61 O / /' 63.15. 0-58 63. 30. 10-05 74. 13. 25-47 74.29. 6-55 115. 9.52-87 114.53.42-01 65.41. 3-48 65. 55. 51-92 62. 28. 42-08 62. 43. 44-07 64.12. 4-42 64. 27. 16-49 77. 12. 12-96 77.28. 3-73 83. 28. 27-53 83. 44. 30-58 97. 36. 33-89 97.20.13-79 116.22. 5-39 116.38. 4-08 I 53-38 53-45 53-59 53-77 53-80 53-80 53-82 53-83 53-83 53-82 j3 Tauri Pollux Moon's U. L. . . . Procyon Pollux Moon's L. L. ... a Aquilae Moon's U. L. . . . Procyon Pollux a Aquilae Moon's U. L. . . . Castor Pollux Procyon Pollux Moon's U. L. . . . Procyon Moon's U. L a Aquilae Pollux Moon's U. L. . . . Aldebaran Sirius Moon's L. L. ... Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Linib which was observed with the Transit. (304) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 18J8. Mar.31 Apr.13 15 18 19 25 26 28 29 May 11 13 14 15 o / " 73.51.38-10 82. 37. 39-00 106. 26. 32-00 63.33. 7-10 84. 18. 27-40 61. 32. 30-45 69. 55. 57-50 77. 8.32-10 61.33.21-00 82. 37. 41-75 77. 8.32-10 87.29.54-10 77. 8.32-30 94. 28. 17-20 75.46.10-10 106. 26. 41-60 74. 24. 29-90 117.53.20-25 82. 37. 42-60 77. 8.33-50 74. 24. 29-50 106. 51. 26-30 106. 26. 38-60 84.18.21-20 61. 32. 23-60 64.57. 7-00 77. 8.25-50 72. 40. 26-50 74.24.20-10 77. 8.24-60 78. 4. 64-00 74. 24. 20-55 84. 15. 15-60 O 1 II 35. 19. 50 44. 5.51 67. 54. 44 25. 1.19 45. 46. 39 23. 0.42 31. 24. 10 38. 36. 44 23. 1.33 44. 5. 54 38. 36. 44 48.58. 6 38. 36. 44 55. 56. 29 37. 14. 22 67. 54. 54 35. 52. 42 79.21.32 44. 5.55 38. 36. 46 35. 52. 42 68. 19. 38 67. 54. 51 45. 46. 38 23. 0.41 26. 25. 24 38. 36. 43 34. 8.44 35. 52. 37 38. 36. 42 39. 33. 11 35. 52. 38 45. 43. 33 in. 30-17 30-17 30-17 29-72 29-52 29-52 29-51 29-50 29-29 29-34 29-40 29-44 29-70 29-70 29-70 29-12 29-20 29-25 29-35 29-82 29-82 29-85 29-80 29-56 29-56 29-54 29-53 29-35 29-35 29-40 29-42 29-42 29-52 o 42-0 41-0 41-0 43-0 46-0 46-0 41-0 41-0 47-0 46-0 40-0 37-0 40-0 34-0 34-0 57-0 48-0 44-0 65-0 49-0 45-0 47-0 58-0 63-0 63-0 60-0 56-0 52-0 50-0 50-0 49-0 49-0 51-0 / a 0. 42-22 0.57-81 2.26-15 0. 27-34 0. 59-36 0. 24-56 0. 35-65 0.46-61 0. 24-34 0. 55-64 0. 46-55 1. 7-43 0. 47-02 1. 28-04 0. 45-32 2. 16-49 0.41-19 4.56-91 0. 53-57 0. 46-34 0. 42-32 2. 25-48 2. 19 39 0. 57-42 0. 23-76 0. 27-95 0. 45-24 0. 38-51 0. 41-23 0. 45-60 0. 47-28 0. 41-41 0. 58-65 // 55-03 10-03 34-21 1-65 29-56 52-72 19-23 9-59 52-55 52-50 30-38 32-93 43-77 9-28 51-99 43-49 32-58 0-65 29-40 51-26 42-16 51-10 42-06 0. 25-29 0. 26-78 0. 23-94 -0.25-11 0. 25-45 0. 25-99 0.26-11 0. 27-80 0. 26-10 0. 26-82 0. 25-04 0. 25-16 0. 27-32 0. 26-89 -0.27-85 0. 28-33 -0.25-41 0. 17-97 0. 17-96 0. 19-48 -0. 19-17 0. 19-10 0. 19-90 / * 54. 57-34 56. 22-60 59. 7-47 59. 54-68 59. 18-01 57. 3-67 54. 62-94 56. 14-30 57. 7-50 58. 5-82 / * 23. 2-41 29. 9-94 44. 23-65 49. 26-20 58. 8-41 52. 51-82 24. 13-10 31. 21-47 36. 10-07 41.23-46 ii + 4-88 + 11-76 + 18-31 + 19-07 - 4-10 14-03 + 6-99 + 12-91 + 15-18 + 17-00 o / // 63.10. 163 63.25. 2-63 69. 26. 45-93 69. 42. 10-21 86. 45. 52-87 87. 2. 2-19 93. 39. 33-98 93. 55. 56-19 116.59.38-19 117. 15.50-38 106. 0. 18-73 106. 15. 54-23 64. 32. 56-39 64.47.56-18 72. 9.11-24 72. 24. 33-26 77. 28. 56-44 77. 44. 32-99 83. 34. 13-95 83.50. 6-42 g 53-73 53-71 53-67 53-66 53-59 53-52 53-33 53-30 53-28 53-27 Moon's U. L. . . . Procyon Pollux Moon's U. L. . . . Regulus j3 Tauri Regulus Moon's U. L. ... Moon's U. L. . . . a Pesrasi . . Sirius Moon's U. L. . . . a Orionis Moon's U. L. . . . Procyon Pollux Moon's U. L. . . . Moon's U. L. . . . (3 Leonis Moon's U. L. . . . ^3 Leonis Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCB.^ Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabulaij N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during th Passage of Semi- diameter. Geocentric N.P.D. of U.L. orL. L., and of ;enter, at Transit of 1 L.or2L. Tabular bliquity of Zcliptic. 3. 27'. 1818. May 15 18 19 25 27 June 1 1 12 13 15 16 18 20 22 Arcturus / 69. 51. 49-40 106. 26. 30-50 84. 18. 20-20 69.51.48-80 110.27.51-60 82. 37. 29-95 106. 26. 28-50 84.18.21-45 108.33. 9-75 84.18.21-15 77. 8.25-00 74. 24. 19-40 97. 8.40-75 84. 18. 20-50 81.51.43-75 74. 24. 19-50 62.40. 1-00 77. 8.25-00 74.24. 19-70 88.10. 6-75 69.51.47-45 62.40. 0-00 94. 47. 14-75 62.40. 0-50 69. 51. 48-05 107. 36. 56-50 74. 24. 19-00 69. 51. 45-70 118. 49. 26-00 69.51.44-90 114.55. 9-50 69.51.46-40 82.59. 13-05 o / " 31.20. 6 67. 54. 48 45. 46. 37 31.20. 6 71.56. 9 44. 5.47 67. 54. 46 45. 46. 39 70. 1.27 45. 46. 38 38. 36. 42 35. 52. 36 58. 36. 58 45. 46. 38 43.20. 1 35. 52. 37 24. 8.18 38. 36. 42 35. 52. 37 49. 38. 24 31.20. 4 24. 8.17 56. 15. 32 24. 8. 18 31.20. 5 69. 5.14 35. 52. 36 31.20. 3 80. 17. 43 31.20. 2 76. 23. 27 31. 20. 3 44. 27. 30 29-52 29-81 29-81 29-93 29-93 30-20 30-20 30-20 30-16 30-20 30-16 30-16 30-12 30-04 30-00 30-00 29-98 29-90 29-90 29-90 29-90 29-91 29-80 29-84 29-90 29-90 29-80 29-80 29-72 29-75 29-85 29-61 29-64 45-0 65-0 65-0 49-0 45-0 60-0 60-0 60-0 50-0 65-0 63-0 57-0 51-0 78-0 71-0 70-0 60-0 81-0 77-5 76-0 68-0 66-0 68-0 66-0 66-0 64-0 69-0 64-0 57-0 57-0 50-0 57-0 55-0 / * 0. 35-27 2. 17-49 0. 57-68 0. 35-47 2. 58-22 0. 55-67 2. 20-69 0. 59-02 2. 39'81 0. 58-43 0. 45-56 0.41-76 1.35-45 0. 56-66 0. 52-69 0. 40-48 0. 25-58 0. 43-60 0. 39-76 1. 4-80 0.34-11 0. 25-22 1. 23-39 0.25-16 0. 34-24 2. 26-60 0. 40-29 0. 34-26 5.20-51 0. 34-68 3. 54-98 0. 34-52 0. 55-89 4-90 30-26 -0. 19-77 0. 17-73 0. 17-60 0. 19-99 0. 18-08 0. 20-03 0. 20-60 0. 19-72 0. 20-13 0.20-17 0. 18-43 0. 20-00 0.21-07 0. 18-86 0. 19-54 0. 20-62 0. 19-91 0.20-54 0.21-73 0. 19-59 0. 19-53 0. 19-61 -0.21-16 0. 20-25 / H 61. 11-37 57. 57-49 56. 16-05 56. 57-16 57. 60-59 58. 47-00 60. 29-38 61. 15-52 60. 7-32 58. 0-46 54. 18-56 47. 51-23 38. 52-67 43. 52-46 48. 41-22 56. 19-98 60. 14-64 58. 16-99 + 15-80 -13-99 -15-37 + 15-65 + 16-97 + 17-81 + 16-68 + 1-72 -10-50 O 1 * 09. 32. 15-12 09. 48. 58-27 107. 40. 57-44 107. 56. 47-63 96.21.49-59 96. 37. 12-08 81. 13. 8-29 81.28.42-01 87. 26. 42-46 87. 42. 30-77 93. 59. 18-75 94. 15. 22-47 106.42.26-16 106. 58. 57-85 117.54.14-01 1 17. 37. 29-72 114. 0.16-65 114.16.42-31 53-20 53-12 53-10 53-02 53-01 53-01 53-01 53-00 53-01 Sirius 0-28 4-28 7-54 29-16 59-87 59-86 50-43 40-99 * 58-73 39-98 5-51 49-74 39-92 0-94 5-31 5-12 0-56 39-70 0-43 5997 59-76 48-69 Arcturus Moon's U. L. ... a Orionis Sirius Procyon Moon's U. L. . . . jS Leonis Moon's U. L. ... Moon's U. L. . . . j2 Leonis aCoronae Borealis Regulus Moon's U. L. . . . Arcturus aCoronae Borealis Moon's U. L. ... Coronas Borealis Arcturus Moon's U. L. Arcturus Moon's L. L. ... Moon's U. L. . . . Arcturus a. Serpentis The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D.of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. - GRBRNWICH LUNAR REDUCTIONS. 2(R) (306) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter Ther mo- meter Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of \ Ecliptic. 23. -iT. 1818. June 22 24 Moon's U. L ! Leonis O f II 105.10.41-10 74. 24. 17-50 62. 39. 57-85 82. 59. 13-00 81. 9. 5-20 73. 51. 32-15 82.59.11-70 77. 17. 34-85 99. 3. 32-00 69.51.44-00 69.51.44-65 110.47. 34-30 82. 59. 13-30 77. 17. 35-40 69. 51. 43-60 77. 17. 33-50 117.45.41-50 51.22.55-05 62.39.55-10 82. 59. 12-00 51.22.55-90 18.47.55-75 75. 23. 19-00 77. 17. 33-30 81. 35. 43-20 17. 3. 13-30 69. 51. 44-10 82.59.11-10 77. 17. 35-30 13.22.25-00 69. 51. 46-40 82. 59. 13-30 77. 17. 35-00 01. 47. 46-10 Oft 66. 38. 58 35. 52. 35 24. 8. 15 44. 27. 30 42. 37. 22 35. 19. 49 44. 27. 29 38. 45. 52 60. 31. 49 31.20. 1 31.20. 2 72. 15. 51 44. 27. 30 38. 45. 52 31.20. i 38. 45. 51 79. 13. 59 12. 51. 12 24. 8.12 44. 27. 29 12.51. 13 80. 16. 13 36.51.36 38. 45. 50 in. 29-68 29-95 29-99 29-99 29-88 29-85 29-93 29-93 29-82 29-82 29-95 29-97 29-97 30-02 30-22 30-21 30-21 30-21 30-12 30-12 30-12 30-12 30-10 30-05 30-04 30-04 29-90 29-90 29-90 29-86 29-88 29-88 29-88 29-88 o 50-0 68-0 63-0 63-0 66-0 75-0 63-0 60-0 70-0 70-0 69-0 66-0 66-0 63-0 72-0 62-0 62-0 60-0 72-0 72-0 66-0 66-0 74-0 61-0 59-0 59-0 71-0 67-0 65-0 60-0 73-0 70-0 65-0 58-0 / // 2. 12-75 0. 40-58 0. 25-43 0. 55-65 0. 51-69 0. 39-09 0. 55-53 0.45-74 ft 39-32 2-76 48-24 52-09 46-83 1-72 58-14 ' 0. 18-76 -0. 20-52 0.20-41 0. 19-15 0. 20-40 0. 18-87 0. 19-74 0. 20-73 0. 22-01 0. 19-73 0. 19-89 0. 18-51 -0. 19-57 0. 20-27 0. 20-59 0. 20-51 0.18-16 0. 18-46 0. 19-76 0. 20-27 0. 19-99 -0.20-02 0. 22-50 0.21-99 0. 19-97 > n 58. 14-14 54. 58-38 58. 28-63 59. 58-41 60. 52-32 60. 54-72 60.38-13 60. 4-08 58.22-11 / // 53. 17-70 37. 1-63 50. 43-54 56. 57-64 59. 39-36 59. 53-90 59. 16-90 57. 49-67 51. 57-04 it -15-45 14-06 + 17-09 + 14-48 + 4-93 - 1-84 8-19 12-83 16-51 1 a 104. 19. 0-64 104. 34. 55-38 80.32.21-17 80. 47. 21-45 98. 13. 49-84 98. 29. 48-55 109. 52. 55-61 110. 9. 18-85 116.50.29-88 117. 7. 7-84 117.53. 1-28 117.36.22-67 116. 8.20-45 115.51.46-37 112.27.28-99 112.11. 4-21 100.57. 3-95 101. 13. 0-88 U 53-03 53-05 53-21 53"25 53-28 53-30 53-31 53-33 53-37 26 July 10 11 13 15 16 17 18 20 a Coronas Boreali a Serpentis . . Moon's U. L Aldebaran a Serpentis Ophiuchi Moon's U. L Arcturus. . . . 1.38-14 0. 33-88 0. 34-10 2. 54-25 0. 55-28 0. 45-60 0. 34-20 0. 45-98 4.51-99 0.13-13 0. 25-09 0. 54-90 0. 12-93 5. 18-05 0. 41-77 0.45-83 0. 53-53 4. 34-65 0. 33-90 0. 55-04 0. 45-24 3. 26-58 0. 33-75 0. 54-68 0. 45-21 1. 52-89 A returns 58-02 46-57 1-27 57-91 0-97 48-61 59-92 46-31 48-32 42-61 0-67 16-97 57-73 46-15 0-52 57-65 45-99 0-24 Moon's U. L. . . . a Serpentis a Ophiuchi Arcturus <* Ophiuchi . . . Moon's U. L. ... Lyras a Coronas Borealis a Serpentis a Lyras Moon's L. L. ... a Herculis Ophiuchi . . . a Aquilae 43. 4. 78.31.30 31.20. 1 44. 27. 28 38. 45. 52 74. 50. 42 31.20. 3; 44. 27. 30 38. 45. 52 63.16. 3 Moon's L. L. . . . Arcturus a. Serpentis a Ophiuchi Moon's L. L. ... Arcturus a Serpentis a Ophiuchi Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION or MOON'S NORTH POLAH DISTANCE. (307) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Pher- mo- ueter. Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error. Tabular lorizontal 'quatoival Parallax. Parallax. ncrease of Moon's N.P.D, during the 'aaaage of Semi- diameter. Geocentric M.P.D. of U.L. or L. L., and of Center, at Transit of 1 L.or2L. Tain IW 1 1818. July 21 OP 23 Aug. 10 11 12 13 16 11 18 20 22 a. Coronae Borealis O ' a 62. 39. 54-90 77. 17. 35-00 95. 29. 21-30 82.59.11-75 89. 9.52-75 73. 51. 29-60 82. 37. 29-40 82.59. 13-00 77. 17. 35-25 83. 5.11-00 73.51.30-00 77. 17. 32-70 51. 22. 48-95 81. 35. 38-60 117. 5.58-50 77. 17. 34-55 118.58.52-00 82.37.27-10 84. 18.18-10 69.51.45-60 118. 12. 13-75 81.35.41-10 75. 20. 16-20 77. 14.31-60 81.3-2.37-20 104.39. 13-00 98.21.37-50 75. 20. 14-40 77. 14. 30-50 77. 14.31-00 81. 32. 37-00 79. 29. 22-50 81.32.35-80 69. 30. 36-75 ' 1 24. 8.12 38. 45. 52 56. 57. 38 44. 27. 29 50. 38. 10 35. 19.47 44. 5.46 44. 27. 30 38. 45. 52 44. 33. 28 35. 19. 47 38. 45. 50 12.51. 6 43. 3.56 78. 34. 16 38. 45. 52 80. 27. 9 44. 5.44 45. 46. 35 31.20. 3 79. 40. 31 43. 3.58 36. 51. 35 38.45.51 43. 3.56 66. 10. 32 59. 52. 57 36.51.33 38. 45. 50 38. 45. 50 43. 3.56 41. 0.42 43. 3. 55 31. 1.56 in. 29-88 29-88 29-91 30-03 30-04 30-05 30-05 29-95 29-91 29-80 29-78 30-03 30-03 30-04 30-06 30-03 30-03 30-04 30-05 30-04 30-05 30-05 29-97 29-97 29-97 29-97 29-90 29-87 29-85 29-97 29-98 29-97 30-07 30-10 o 69-0 66-0 60-0 74-0 58-0 73-0 77-0 72-0 68-0 66-0 79-0 58-5 66-0 53-0 58-0 58-5 58-5 64-( 67-5 69-0 56-0 56-0 60-0 60-0 56-0 53-0 55-0 60-0 59-0 60-0 57-0 51-0 53-fl 46-0 / // 0. 25-04 0. 45- 12 1.27-33 0. 54-52 1. 9-89 0. 39-51 0. 53-56 0. 54-59 0. 44-98 0. 55-16 0.38-70 0. 46-03 0. 13-15 0.54-18 4. 36-47 0. 46-03 5. 27-94 0. 54-93 0. 57-85 0. 34-20 5. 6-16 0. 53-87 0. 42-76 0. 45-80 0. 53-72 2. 10-30 1. 38-80 0. 42-62 0. 45-70 0. 45-80 0. 53-63 0. 50-50 0. 54-23 0. 35-47 it 59-40 0-10 45-85 49-45 1-64 45-78 59-84 / // 0. 20-54 0. 20-02 0. 20-42 0. 19-66 0.21-32 0.21-81 0. 20-39 -0. 19-35 0. 20-95 0. 19-85 0. 19-66 0. 22-98 0. 22-49 0.21-85 0. 22-33 0. 22-25 +2. 40-36 + 2.39-85 + 2.41-40 + 2.42-15 + 2.40-89 + 2.40-16 + 2.41-21 + 2.41-59 / // 57. 24-93 56. 30-56 55. 42-58 59.52-18 60. 7-54 60. 10-50 58. 56-43 58. 10-29 55. 45-24 54. 38-OS / a 47. 56-55 43. 29-65 38. 53-24 58. 32-31 59. 9-47 59. 3-80 53. 44-63 50. 7-97 36. 23-03 27. 57-70 it -16-53 15-89 -14-89 + 7-01 + 0-97 5-40 16-44 -17-06 14-60 -10-77 O / /' 94.42. 1. 94. 67. 5f 88. 2t>. .30-17 n. 22-63 82. 26. 37-51 82. 41. 50-86 116.11.35-50 116.27.57-03 118. 4.47-06 117.48.21-34 117.17.59-37 117. 1.32-84 103.50. 2-77 104. 6. 9-07 97. 35. 32-75 97. 51. 26-44 78. 56. 16-36 79. 11. 30-44 69. 5.45-17 69. 20. 40-89 a 3-39 53-41 53-43 53-83 53-85 53-87 53-94 53-97 54-02 54-07 Moon's U. L. ... Moon's U. L Moon's U. L. . . . 49-35 57-78 42-25 13-12 57-60 59-54 54-10 57-47 12-72 39-32 57-25 12-32 39-17 57-09 56-96 11-84 11-62 a Lyrae Moon's U. L Moon's L. L. ... a Orionis Moon's L. L. ... a Aquilae Moon's U. L. . . . Moon's U. L. . . . a Ophiuchi a, Ophiuchi Moon's U. L. . . . a, Aquilse Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing tlie Meridian. The Geocentric N. P. D. of Limb and of Center, in tin- tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 1818. August 20. The date in the Manuscript and in the printed Observations is August 21 ; but it evidently ought to be August 20. There are no Transit Observations on August 21. The result obtained by combining these observations with the Transit Observa- tions of August 20 is perfectly satisfactory. 2(R) (308) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. It 54-12 54-35 54-36 54-39 54-40 54-43 54-44 54-45 1818. Aug. 22 22 24 Sep. 7 8 9 10 11 12 13 16 17 21 22 o / -/ 84. 15. 13-55 61. 29. 27-60 69. 48. 41-60 75. 20. 14-20 63. 24. 42-00 77. 14. 28-50 118.53.17-25 81.32.33-45 84. 15. 13-60 77.14.31-00 81. 32. 34-25 116.47.27-00 69. 48. 45-30 81. 32. 34-60 45.18.54-60 107. 50. 50-65 62. 36. 56-00 82. 56. 10-00 81.32.35-70 101.49. 19-85 77. 14. 30-50 82. 0.57-20 84. 15.10-10 61.29.28-90 81. 32. 34-40 45. 18. 53-50 76. 14. 20-25 69. 48. 48-05 51. 19. 44-60 81.32.36-80 62.21.26-55 51. 19. 42-50 81.32.35-30 o / '/ 45. 46. 32 23. 0.47 31.20. 1 36. 51. 33 24.56. 1 38. 45. 48 80. 24. 36 43. 3.52 45. 46. 33 38. 45. 50 43. 3.53 78. 18 46 31.20. 4 43. 3.54 6. 50. 14 69. 22. 10 24. 8. 15 44. 27. 29 43. 3.55 63. 20. 39 38. 45. 50 43. 32. 16 45. 46. 29 23. 0.48 43. 3.53 6. 50. 13 37. 45. 39 31. 20. 7 in. 30-13 30-13 30-13 30-11 30-01 29-78 29-78 29-77 29-65 29-71 29-72 29-72 29-80 29-80 29-97 29-97 30-12 30-12 30-14 30-14 29-58 29-68 29-92 29-92 30-07 30-07 30-05 29-32 29-45 29-50 29-53 29-62 29-62 o 56-0 57-0 65-0 60-0 5-0 58-0 49-0 47-0 50-0 53-0 50-0 50-0 59-0 53-0 55-0 54-0 62-0 62-0 54-0 49-0 52-0 44'5 45-0 46-0 51-0 51-0 45-0 66-0 60-0 56-0 53-0 55-0 55-0 / if 0. 59-35 0. 24-51 0. 34-57 0. 42-96 0. 26-83 0. 45-69 5. 30-38 0. 54-35 0. 59-13 0. 46-04 0. 53-93 4. 31-96 0. 34-61 0. 53-74 0. 6-91 2.32-15 0. 25-59 0. 56-00 0. 54-25 1. 56-38 0. 45-94 0. 55-37 1. 0-28 0. 24-89 0. 54-45 0. 6-99 0. 45-67 0.33-58 0. 12-79 0. 52-88 0. 25-24 0. 12-99 0. 53-20 it 53-63 34-06 57-86 38-89 56-11 10-03 53-22 56-08 9-91 59-40 9-85 42-30 59-11 44-58 9-71 56-02 53-23 35-83 9-47 41-23 0-64 36-93 9-30 36-88 9-26 / n +2.40-73 + 2.41-95 +2.41-69 + 2.41-73 +2. 41-92 +2. 42-23 + 2.40-49 + 2.39-04 + 2.41-73 + 2.39-49 + 2.41-51 + 2. 40'7 + 2.37-52 + 2.38-58 + 2.39-70 + 2.39-58 + 2.42-85 + 2.43-04 + 2.40-62 + 2.40-74 + 2.39-01 + 2.39-54 + 2.39-62 + 2.41-39 + 2. 40-76 / // 54.12-15 59.21-50 59. 19-69 58. 44-57 58. 14-31 56. 15-72 55. 36-78 54. 13-93 / // 22. 38-92 58. 23-74 57. 57-54 54. 48-81 51. 52-44 38.33-15 33. 51-08 21.45-15 // 4-94 + 2-94 8-60 15-47 16-79 -15-55 14-00 - 2-85 O 1 II 63. 5. 6-68 63. 19.55-33 118. 3. 2-50 117.46.49-35 115. 56. 50-44 115. 40. 37-79 107. 1.30-06 106. 45. 26-99 101. 2.19-20 100. 46. 24-41 81.25.45-69 81.41. 8-10 75. 43. 42-31 75. 58. 54-07 62. 2.43-18 62. 17. 32-32 Pollux t Moon's U. L. . . . a, Ophiachi ..... Moon's L. L. ... Procyon <* .A (pulse Moon's L. L. ... Aquilae a Cygni Moon's L. L. . . . a Coronse Horealis a Serpentis a Aquilae Moon's L. L . . . . a Ophiuchi Moon's U. L. . . . Procyon Pollux I Moon's U. L 12.51. 4 43. 3. 56 23. 52. 46 12.51. 2 43. 3.54 Moon's U. L. .. . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OP MOON'S NORTH POLAR DISTANCE. (309) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Eqnatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L- or L. L., and of /enter, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. j 1818. 'Sep. 22 | Oct. 6 7 8 12 13 14 16 17 20 21 22 Nov. 7 a. Cvani. . Of// 45. 18. 53-00 62. 30. 48-50 81. 32. 33-60 69. 48. 48-10 75. 20. 15-90 117.44.41-00 77. 14. 28-00 81.32.32-70 114.30.20-55 75. 42. 33-50 69. 48. 49-00 77. 14. 29 60 81.32.32-10 91.31.29-95 75. 42. 35-80 69. 48. 49-90 77. 14. 30-00 78.36. 3-40 68. 37. 0-10 69. 48. 50-60 77. 14. 30-00 81. 32. 35-00 65. 6. 3'90 45.18.49-40 62. 53. 45-40 69. 48. 50-50 77. 14. 29-00 51. 19.43-00 67. 56. 33-30 81.32.35-00 75. 42. 34-00 100. 0. 28-50 61.51.21-50 o / // 6. 50. 12 24. 2. 8 43. 3.53 31.20. 7 36.51.35 79. 16. 38. 45. 47 43. 3.52 76. 1.40 37. 13. 53 31.20. 8 38. 45. 49 43. 3.51 53. 2.49 37.13.55 31. 20. 9 38. 45. 49 40. 7.22 30. 8. 19 31.20. 10 38. 45. 49 43. 3.54 26. 37. 23 6.50. 8 24. 25. 4 31.20.10 38. 45. 48 12.51. 2 29. 27. 52 43. 3. 54 37. 13. 53 61.31.48 23. 22. 41 In. 29-65 29-62 29-31 29-50 29-48 29-51 29-73 29-73 29-73 29-73 29-72 29-72 29-81 29-81 29-80 29-90 29-90 29-85 30-00 30-00 29-95 29-95 29-86 30-02 30-07 30-06 29-85 29-85 29-85 29-66 29-70 29-70 29-70 o 53-0 49-0 48-0 51-0 51-0 51-0 53-0 50-0 48-0 45-0 57-0 56-0 52-0 47-0 53-0 64-0 63-0 52-0 54-0 63-0 60-0 55-0 49-0 51-0 40-0 51-0 51-0 51-0 43-0 50-0 45-0 44-0 44-0 / // 0. 6-86 0. 25-72 0. 53-40 0. 34-82 0. 42-83 4. 52-71 0. 46-07 0. 53-94 3. 48-89 0. 44-33 0. 34-65 0. 45-78 0. 53-87 1. 17-32 0. 43-71 0. 34-38 0. 45-42 0. 48-65 0. 33-56 0. 34-56 0. 45-77 0. 53-80 0.29-14 0. 6-98 0. 27-08 0. 35-48 0. 46-46 0.13-21 0. 33-24 0. 53-82 0.44-28 1. 47-32 0. 25-26 it 40-32 8-93 3-18 39-29 56-76 8-94 0-35 4-15 57-06 8-97 0-02 4-55 57-21 5-15 57-44 9-02 37-03 6-02 57-95 37-88 10-00 58-96 28-21 / + 2. 40-46 + 2.41-93 + 2.40-26 + 2.40-56 + 2.42-69 + 2. 42-30 +2.42-52 + 2. 40-50 + 2.41-68 + 2. 43-00 + 2.40-51 + 2.40-27 + 2.41-79 +2. 40-09 + 2.41-67 + 2. 40-22 + 2.40-65 + 2.40-04 + 2.42-50 +2.41-67 + 2.41-18 + 2. 40-68 + 2.41-45 / * 54. 18-99 58. 69-15 58. 40-23 56. 52-66 55. 47-09 54. 49-02 # 54. 27-67 54. 15-62 55. 0-43 57. 15-21 / it 21. 55-37 57. 49-09 56. 47-43 45. 15-74 35. 44-75 27. 19-16 24. 12-14 22. 13-81 26. 51-21 50. 9-23 ft + 0'94 6-89 Jl-29 16-59 -14-75 10-69 - 7-77 + 3-14 + 9-81 16-19 o 62.12. 0-66 61. 57. 10-14 116. 54. 32-43 116. 38. 25-39 113.40.15-80 113.24. 13-91 90. 50. 29-85 90. 34. 57-36 78. 3.33-41 78.18.47-99 68. 12. 44-47 68.27.43-19 64. 44. 53-79 64. 59. 46-68 62.34.42-16 62. 19. 52-56 67.33. 6-54 67. 18. 4-71 99. 15. 3-88 98. 59. 25-23 // 54-45 54-43 54-42 54-39 54-36 54-35 54-33 54-29 54-26 54-00 Moon's L. L. ... Arcturus Moon's L. L. ... at Ophiuchi Moon's L. L . ... Arcturus a. Ophiuchi Moon's L. L. ... Arcturus Ophiuchi Moon's U. L. . . . Moon's U. L . . . . Arcturus a Ophiuchi a Aquilae Moon's U. L. . . . Moon's L. L. ... Arcturus Moon's L. L. ... Aquilae a Pegasi Moon's L. L. ... a Andromedae. . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (310) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular^ N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1818. Nov. 8 12 13 16 17 18 19 20 21 23 Dec. 3 4 Moon's L. L. ... Moon's U. L. . . . o / /' 93. 41. 37-50 70. 16. 47-00 69. 48. 56-40 51. 19. 46-50 81.32.35-50 45. 18. 48-40 75.42.35-10 61. 61. 22-00 66. 20. 57-50 62. 35. 29-50 75.42.33-75 61. 51. 21-00 63. 56. 45-55 69. 48. 57-00 61.51.19-50 66.36. 7-35 45. 18. 48-55 75. 42. 31-10 61.51. 19-00 70. 24. 12-50 51.19.47-05 81. 32. 36-40 61. 51. 20-00 75.10.45-20 81. 32. 33-60 61. 51. 19-90 80. 44. 58-85 67. 20. 35-60 81. 32. 37-50 07. 45. 31-40 75. 42. 35-10 69.49. 1-10 81. 32. 37-20 o ' 55. 12. 57 31.48. 6 31. 20. 15 12.51. 6 43. 3.55 6.50. 7 37. 13. 54 23. 22. 41 27. 52. 17 24. 6.49 37. 13. 53 23. 22. 40 25.28. 5 31. 20. 16 23. 22. 39 28. 7.26 6.50. 8 37. 13. 50 23. 22. 38 31. 55. 32 12*51. 6 43. 3.55 23. 22. 39 36. 42. 4 43. 3.53 23. 22. 39 42. 16. 18 28. 51. 55 43. 3.57 69. 16. 50 37. 13. 54 31. 20. 20 43. 3.56 in. 29-80 29-52 29-52 29-55 29-55 29-55 29-55 29-55 29-55 29-53 29-82 29-82 29-90 29-93 29-95 29-95 29-95 29-94 29-94 29-83 29-80 29-80 29-71 29-65 29-61 29-61 29-65 29-55 29-50 29-50 29-50 29-42 29-38 o 44-0 45-0 52-0 52-0 51-0 51-0 50-0 50-0 52-0 47-0 45-0 45-0 39-0 38-0 44-0 42-0 45-0 43-0 42-0 37-0 44-0 44-0 40-0 38-0 40-0 37-0 32-0 49-0 49-0 46-0 45-0 45-0 46-0 / // 1. 24-20 0. 35-92 0. 34-78 0. 13-05 0. 63-51 0. 6-87 0. 43-61 0. 24-82 0. 30-24 0. 25-84 0. 44-46 0. 25-30 0. 28-30 0. 36-29 0. 25-47 0.31-62 0. 7-05 0. 44-82 0. 25-56 0. 37-09 0. 13-37 0. 54-74 0. 25-47 0. 44-00 0. 54-85 0. 25-55 0. 54-32 0.31-71 0. 53-64 2.31-57 0. 43-98 0. 35-16 0. 53-75 // 11-63 41-17 10-48 37-12 58-92 27-73 58-99 27-46 12-96 27-42 37-61 59-04 27-37 42-65 11-12 27-32 11-21 27-27 48-41 12-57 59-50 17-40 12-69 / it . . +2. 40-45 +2.41-62 + 2.41-47 +2.41-85 + 2.40-21 + 2.40-91 + 2.40-78 +2.41-16 +2. 39-67 +2. 42-45 + 2.42-01 +2.43-12 + 2.42-81 + 2.42-23 + 2. 39-98 + 2.41-85 -r-2. 42-76 + 2.41-82 + 2.41-10 + 2.41-43 + 2.40-42 + 2.41-14 + 2.41-74 / 56.41-55 54. 49-64 54. 29-52 54. 2-76 54. 9-46 54. 25-79 54. 52-36 55.29-17 56. 15-40 58. 41-72 / 46. 22-56 28. 41-35 25. 16-28 21. 52-84 23. 5-28 25. 27-35 28. 48-91 32. 57-47 37. 38-36 54. 44-22 n 16-27 11-57 8-92 + 1-72 + 5-31 + 8-46 + 11-12 + 13-31 + 15-09 15-41 o r n 92.59.36-51 92.44. 7-05 69. 51. 35-32 70. 6.34-21 65. 58. 43-53 66. 13. 36 93 62. 16. 44-76 62. 1.58-68 63. 36. 54-42 63.22. 6-50 66.14. 2-61 65. 59. 10-23 69. 58. 54-45 69. 43. 54-82 74. 41. 26-39 74.26.16-70 80.11.11-79 79. 55. 49-47 106.56.15-16 106. 40. 12-88 n 53-98 53-91 53-89 53-84 53-82 53-80 53-79 53-77 53-76 53-61 a, Peeasi . a. Andromedae. . . Moon's TJ. L. . . . Moon's L. L . a, Pegasi Andromedas. . . Moon's L. L. ... Arcturus a Andromedae. . . Moon's L. L. ... a Cygni. . a Pegasi a. Andromedae . . Moon's L. L. ... Lyras a Aquilse a. Andromeda: . . Moon's L. L. ... a Aquilae a Andromedas . . Moon's L. L. ... a, Aquilae Moon's L. L. a. Pegasi Arcturus a Aquilae The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (311) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Fher- ino- neter. Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. I Correction for ndex Error. Tabular iorizontal quatorcal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N P. D. of U. L Tabular bKquity of Ecliptic. or L. L., and of tenter, at Transit of !L.or2L. 3. 27'. ', 1818. Dec. 5 10 11 12 13 15 16 21 29 31 1819. Jan. 1 3 4 O 1 /' 45. 18. 50-00 95.31. 0-40 61. 51. 19-40 51. 19.52-30 75.42.33-10 68. 4. 10-40 69.49. 2-40 67. 20. 32-90 64. 25. 30-40 69.49. 2-65 51.19.53-40 67. 20. 33-90 62. 32. 27-25 67. 20. 32-05 61. 51. 19-60 67. 20. 33-70 65. 41. 1-90 69.49. 1-60 75. 42. 32-60 61.51.19-80 67.20.30-80 69. 6.17-20 51. 19. 57-40 81. 32. 38-20 67. 20. 33-80 97. 11. 51-90 67. 20. 32-10 73.48.17-20 75. 42. 35-65 97. 40. 33-40 84. 48. 50-90 61.51.20-10 78. 54. 38-00 o ; // 6.50. 9 57. 2.19 23. 22. 38 12.51.11 37. 13. 52 29. 35. -2!) 31.20.21 28.51.52 25. 56. 49 31. 20. 22 12. 51. 12 28. 51. 53 24. 3.46 28. 51. 51 23. 22. 39 28. 51. 53 27. 12. 21 31.20.21 37. 13. 52 23. 22. 39 28. 51. 50 30. 37. 36 12.51. 16 43. 3.57 28.51.53 58. 43. 11 28.51.51 35. 19. 36 37. 13. 55 59.11.52 46. 20. 10 23. 22. 39 40. 25. 57 in. 29-50 29-48 29-48 30-04 30-01 30-00 30-00 30-00 30-00 30-02 30-01 30-00 30-00 30-07 29-91 29-90 29-87 29-87 29-98 29-98 30-01 30-02 30-06 30-06 30'24 46-0 40-0 40-0 42-0 40-0 37-0 34-0 * // 0. 6-93 1. 29-94 0. 25-28 0. 13-54 0.45-21 0. 34-00 0. 36-68 0. 33-21 0. 29-20 0. 36-67 0. 13-58 0. 32-80 0. 26-68 0. 33-22 0. 26-13 0. 33-45 0. 31-37 0. 37-15 0. 46-27 0. 26-36 0. 33-86 0. 36-65 0. 13-47 0. 55-11 0. 33-30 1.41-22 0. 33-99 0. 43-88 0. 46-23 1. 42-51 1. 3-76 0. 26-06 0. 51-33 // 39-68 26-87 47-77 59-91 19-36 47-74 19-64 48-35 47-72 * 47-70 26-99 47-66 20-76 0-30 27-02 47-66 51-04 15-08 47-64 47-69 43-19 1-64 28-r / // + 2.42-75 +2.42-19 + 2.41-93 + 2.41-60 +2.40-28 +2.41-63 +2.40-32 +2.41-37 + 2.41-02 +2.42-43 +2.41-26 + 2.40-51 + 2.42-01 + 2.41-43 + 2. 40-86 + 2. 43-00 +2.40-17 + 2.41-77 + 2.40-54 + 2.41-60 + 2.42-11 +2.39-76 +2.42-01 / // 57. 3-26 54. 27-09 54. 12-35 54. 2-49 54. 8-07 54. 23-59 57. 48-36 58. 12-69 56. 22-66 55. 38-17 / if 47. 41-21 26. 41-25 23. 30-94 21. 50-06 24. 32-98 27. 30-57 49. 13-24 49. 49-0 40.35-1 35. 52-94 * 16-40 9-71 - 6-75 3-25 + 7-43 + 10-14 + 16-96 17-23 15-71 14-35 ' 94. 47. 47-76 94. 32. 12-37 67. 40. 54-13 67.26. 1-40 64. 5. 16-52 64.20. 5-23 62. 13. 42-23 62. 28. 28-24 65. 19. 48-98 65. 5. 1-44 68.42.15-18 68. 27. 23-41 96. 27. 17-67 96. 11. 29-97 96. 55. 25-24 96. 39. 30-90 84. 12. 16-59 83. 56. 52-27 78.22.32-14 78. 7.19-99 11 53-58 53-56 53-55 53-54 53-53 53-53 53-54 53-62 53-65 53-66 Moon's L. L. ... a Andromedae . . a Lyrae Moon's L. L. ... 34-0 36-0 34-5 40-0 40-0 38-0 35-0 31-0 29-0 26-0 26-0 28-5 28-0 25-0 21-5 45-0 45-0 36-5 28-5 30-0 28-0 34-0 32-0 32-0 35-0 35-0 Moon's U. L. . . . Moon's U . L. . . . a, Arietis a, Andromedae . . Moon's L. L. ... Arcturus a, Pegasi Andromedae. . . a Arietis Moon's L. L. ... a Lyras a Aquilae Arietis Moon's L. L. ... a Arietis 30-35 30-45 30-45 30-30 30-39 30-20 30-08 30-08 Aldebaran a. Peeasi . , Moon's L. L. ... Moon's L. L. ... Andromedae. . . Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (312) KEDTJCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Rquatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L or L. L., and of Center, atTransi of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27' 1819. Jan. 4 Arietis Of" 67. 20. 33-40 73. 48. 19-35 61.51.21-00 67. 20. 34-00 69. 9.49-50 73. 48. 22-50 73. 48. 20-90 61.30. 6-90 64. 24. 25-85 75. 42. 36-60 61.51.22-50 61.30. 7-60 73. 48. 20-75 71.40.59-10 77. 11. 0-40 82.48.23-10 61.51.20-50 95. 5.57-90 61. 51. 22-80 67. 20. 34-00 73. 48. 19-00 61. 30. 5-90 82. 34. 26-70 101.19.55-50 67. 20. 33-60 112.29.29-40 67. 20. 34-55 73. 48. 20-60 81. 32. 44-75 67. 20. 35-00 75.13.22-80 Ota 28. 51. 52 35. 19. 38 23. 22. 40 28. 51. 53 30.41. 9 35. 19. 42 35. 19. 40 23. 1.26 25. 55. 45 37. 13. 56 23. 22. 42 23. 1.27 35. 19. 40 33. 12. 18 38. 42. 19 44. 19. 42 23. 22. 40 56. 37. 17 23. 22. 42 28.51.53 35. 19.38 23. 1.25 44. 5.46 62. 51. 15 28. 51. 53 74. 0.48 28. 51. 54 35. 19. 40 43. 4. 4 28.51.54 36. 44. 42 in. 30-08 30-08 30-05 30-05 30-02 30-02 29-75 29'75 29-80 30-08 30-08 30-07 29-90 29-90 29-92 29-93 30-18 29-28 29-50 29-52 29-56 29-56 29-60 29-70 29-49 29-30 29-45 29-45 29-54 29-50 29-50 o 35-0 33-0 37-0 36-0 37-0 36-0 41-0 41-0 39-0 47-0 44-0 41-0 37-0 39-0 42-0 35-0 39-5 38-0 38-0 37-0 35-0 35-0 33-5 33-5 38-0 34-0 37-0 35-0 32-5 34-0 34-0 / a 0. 33-23 0. 42-89 0. 25-93 0. 33-13 0. 35-55 0. 42-54 0. 41-72 0. 25-02 0.28-80 0. 44-67 0. 25-58 0. 25-29 0.42-28 0. 38-89 0. 47-33 0. 68-54 0. 25-90 1. 28-30 0. 25-40 0. 32-47 0.41-97 0.25-18 0. 57-62 1. 55-98 0. 32-37 3. 22-66 0. 32-40 0. 41-82 0. 55-59 0. 32-66 0. 44-22 n 47-78 43-28 ; 28-35 47-84 43-33 43-41 13-87 2-95 28-93 13-82 44-45 29-38 29-61 48-27 44-55 13-57 5-42 48-36 48-41 43-61 21-73 49-07 i it + 2.41-15 + 2.41-04 + 2.41-42 + 2.40-71 + 2. 38-29 +2. 40-79 + 2.41-95 +2.41-68 + 2.40-85 + 2. 40-93 + 2.41-42 + 2.42-98 + 2.41-41 + 2.41-80 + 2.43-58 + 2.42-49 + 2.41-10 + 2.42-39 + 2.41-46 + 2.41-19 + 2.41-39 + 2.41-41 i 54. 34-54 54. 5-22 54. 33-76 54. 56-28 55. 24-98 i 56.41-55 57. 29-05 59. 13-67 55.48-21 / // 27. 39-01 23. 26-94 29. 40-69 34. 9-23 38. 31-62 47. 9-46 50. 58-73 56.47-19 33. 10-84 // 10-40 + 6-58 + 11-75 + 13-44 + 14-70 + 16-10 + 16-17 + 13-49 13-71 o / // 68. 45. 36-58 68.30.41-81 64. 4.15-76 64.19. 2-52 71. 14. 50-27 71.29.44-83 76. 40. 33-48 76. 25. 32-78 82. 13. 46-26 81.58.37-72 94. 23. 14-90 94. 7.45-44 100.33.51-31 100.18. 8-87 111.39. 0-04 111.22.49-03 74.43.51-29 74. 28. 36-40 * 53-68 53-75 53-80 53-81 53-83 53-86 53-89 53-93 54-16 6 11 12 13 1.4 15 16 17 18 20 21 31 Feb. 1 Aldebaran a. Andromedae. . . Moon's L. L. ... Aldebaran Aldebaran Tauri Moon's U. L a Pegasi a Andromedae... (3 Tauri Aldebaran Moon's U. L. . . . Moon's L. L. ... Moon's L. L. ... a Andromedae . . Moon's L. L. ... a. Andromedae. . . a Arietis Aldebaran /3 Tauri a Orionis Moon's L. L. ... a Arietis Moon's L. L. ... a Arietis Aldebaran ..... Aljllil.l: a Arietis Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (313) | Year, f Month, and | Day- Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- in o- neter. Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular, lorizontal '.quatoreal Parallax. Parallax. Increase of Moon's N.P.D- during the Pauage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. 'abular oliquity of Ecliptic. 3. 27'. 1819. )Feb. 2 4 5 7 10 13 14 15 Mar. 14 15 Moon's L. L. ... Aldebaran o / // 70. 22. 24-85 73.48.20-15 44. 8.55-25 61.30. 4-10 63. 52. 28-70 51.20.10-05 81.32.40-50 45.19. 8-50 67.20.37-00 73. 48. 23-00 82. 34. 32-00 62. 5.59-40 61.30. 5-15 82. 34. 27-00 63. 33. 34-05 77. 14. 50-00 73. 48. 20-90 61.30. 6-50 82. 34. 27-70 75. 34. 32-90 82.34.29-00 84. 15.25-60 61.29.33-10 93. 23. 22-40 73.48.20-70 99. 38. 57-90 84.15.26-10 61.29.33-05 73. 48. 19-90 82. 34. 28-50 84. 15.25-10 73. 7.37-60 103. 57. 58-30 82. 34. 29-55 O 1 II 31.53.44 35. 19. 39 5. 40. 14 23. 1. 23 25. 23. 48 12. 51. 29 43. 4. 6 6. 50. 28 28.51.56 35. 19. 42 44. 5.51 23. 37. 18 23. 1.24 44. 5.4G 25. 4.53 38.46. 9 35. 19.40 23. 1. 26 44. 5.47 37. 5.52 44. 5.48 45. 46. 45 23. 0.52 54. 54. 41 35. 19. 40 61. 10. 17 45. 46. 45 23. 0.52 35. 19. 39 44. 5.48 45. 46. 44 34. 38. 57 65. 29, 17 44. 5.49 In. 29-55 29-55 29-55 29-57 29-65 29-54 29-64 29-54 29-53 29-50 29-47 29-45 29-40 29-40 29-40 29-72 29-92 29-92 29-92 29-94 29-72 29-73 29-73 29-80 29-95 29-95 29-78 29-78 29-98 29-98 29-98 29-98 30-10 30-00 o 30-0 30-0 30-0 28-0 J8-0 44-0 46-0 46-0 46-0 45-0 44-0 44-0 36-0 36-0 36-0 35-0 40-0 40-0 39-0 40-0 38-0 37-0 37-0 34-0 35-0 31-0 38-5 38-5 42-0 40-0 38-0 36-0 31-5 43-1 / // 0. 37-24 0. 42-41 0. 5-94 0. 25-56 0.28-04 0. 13-27 0. 54-05 0. 6-94 0.31-88 0.41-03 0. 56-12 0. 25-34 0. 24-99 0. 56-93 0.27-52 0. 47-81 0. 42-04 0. 25-22 0. 57-57 0. 44-89 0.57-31 1. 0-92 0. 25-20 1.25-02 0. 42-53 1.49-60 1. 0-82 0.25-17 0.41-95 0. 57-57 1. 1-30 0.41-43 2. 12-59 0. 57-25 /. 43-85 40-07 13-01 5-06 22-42 56-05 49-42 43-91 6-43 12-86 6-47 18-74 44-02 12-78 6-59 6-69 9-03 40-25 44-10 9-14 40-13 44-60 7-20 9-94 7-24 / // + 2.41-29 + 2.38-88 + 2.43-35 + 2.41-74 +2.41-87 + 2.40-61 + 2.40-54 + 2.39-88 + 2.38-31 +2. 42-72 + 2.42-54 + 2. 40-93 + 2. 41-08 + 2.41-06 + 2.41-32 + 2.40-38 + 2.42-51 + 2.41-95 + 2.40-87 + 2.42-22 + 2.41-91 + 2. 42-75 + 2.41-13 + 2.43-54 + 2 40-44 / a 55. 7-29 54. 15-42 54. 1-98 54. 7"29 54. 56-87 56. 19-93 56. 53-47 54. 58-74 57. 29-8S / 28. 55-27 23. 4-16 21.27-01 22. 44-49 32. 56-55 45. 54-58 49. 39-94 31. 3-29 52. 8-90 ii 11-42 5-39 + 2-00 + 5-61 + 13-24 + 16-02 + 16-02 + 12-79 + 15-96 o < // 69. 56. 59-42 69. 41. 55-71 63. 32. 39-38 63. 17. 49-84 61.47.35-31 62. 2.21-19 63. 13. 53-53 63. 28. 40-85 75. 5. 15-63 74. 50. 14-77 92.41.50-47 92. 26. 26-91 98.54. 525 98. 38. 32-54 72. 39. 45-42 72. 54. 46-79 103.10.59-13 102. 55. 16-48 H 54-19 54-24 54-28 54-30 54-37 54-44 54-46 54-81 54-85 Moon's L. L. ... a. Lyrte a Aquilce a Cveni . . Moon's U. L. . . /3 Tauri a Orionis Moon's U. L. . . . /3 Tanri Moon's L. L. ... a Orionis Pollux Moon's L. L. ... Moon's L. L. ... Pollux Procyon Moon's U. L. . . . Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb whicli was observed with the Transit. GREENWICH LUNAR REDUCTIONS. 2(S) (314) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabulan N. P.O. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L.or2L. Tabular Obliquity of ' Ecliptic. j23. 27'. 1819. Mar. 15 16 17 Apr. 1 2 3 4 5 6 8 9 10 o / 84. 15. 26-85 61. 29. 32-40 61.30. 5-60 84. 15. 27-55 61. 29. 30-95 117.46.18-60 61.30. 7-10 82. 34. 31-50 62. 7.22-00 77. 5.46-60 61.30. 7-00 82.34.31-00 62. 1. 47-40 61.29.31-40 84. 15. 29-25 61. 29. 32-45 63. 49. 50-50 77. 5.45-20 44. 8.55-15 66. 53. 45-00 77. 5.43-10 61.30. 9-95 82. 34. 32-00 84.15.28-30 61.29.31-40 71. 3.23-30 84.15.29-25 61.29.31-60 77. 5.43-90 76. 7. 13-90 77. 5.45-00 94. 39. 33-50 61.30. 8-40 82.34.32-10 84.15.30-15 Of" 45. 46. 40 23. 0.53 23. 1.25 45. 46. 47 23. 0.50 79. 17. 38 23. 1.26 44. 5.51 23. 38. 41 38.37. 6 23. 1. 26 44. 5.50 23.33. 6 23. 0. 50 45. 46. 48 23. 0.51 25. 21. 10 38. 37. 4 5. 40. 14 28.25. 4 38.37. 2 23. 1.29 44. 5.51 45. 46. 47 23. 0. 50 32. 34. 42 45.40.48 23. 0.51 38. 37. 3 37. 38. 33 38.37. 4 56. 10. 53 23. 1.27 44. 5.51 45. 46. 49 in. 30-00 30-00 | 29-91 29-90 29-90 30-10 30-05 30-05 30-06 30-06 30-02 30-02 30-02 30-02 29-90 29-90 29-90 29-93 30-05 30-01 30-01 29-95 29-95 29-93 29-93 29-93 29-63 29-63 29-63 29-61 29-82 29-93 29-72 29-72 29-68 42-0 42-0 52-0 49-0 49-0 33-0 59-0 59-0 58-0 52-0 59-0 58-0 56-0 53-0 57-0 57-0 56-0 56-0 54-0 48-0 44-0 51-0 49-0 46-0 46-0 42-0 45-0 45-0 44-0 44-0 50-0 43-0 58'0 58-0 55-0 / // 1. 0-83 0.25-17 0. 24-60 0. 59-76 0. 24-73 5.11-11 0. 24-36 0. 55-50 0.25-16 0. 46-44 0. 24-34 0. 55-56 0. 25-12 0. 24-62 0. 58-79 0. 24-33 0.27-19 0. 45-87 0. 5-75 0. 31-68 0.47-13 0. 24-68 0. 56-39 1. 0-19 0. 24-90 0.37-77 0.59-71 0. 24-70 0. 46-53 0. 44-90 0. 46-26 1.27-85 0.24-14 0. 55-00 0. 58-60 n 10-00 38-35 12-63 10-02 38-29 13-02 7-15 11-65 13-05 7-16 37-47 9-99 37-43 11-56 40-10 11-51 13-17 7-08 9-95 37-36 9-94 37-33 11-42 11-32 1334 6-98 9-88 / // + 2.42-32 +2. 40-78 + 2.42-43 + 2.42-71 + 2.42-61 + 2.41-56 + 2.40-15 + 2. 38-61 + 2.41-71 + 2.40-60 + 2.41-45 + 2.41-95 + 2.40-65 + 2. 40-49 + 2. 39-20 + 2.41-28 + 2. 38-54 + 2.38-69 + 2.41-46 + 2.41-06 +2.40-98 + 2.41-03 + 2.40-99 + 2.40-06 + 2.40-80 + 2.39-88 + 2.41-13 / a 58. 46-45 54. 26-09 54. 15-35 54. 15-72 64.26-98 54.47-92 55. 17-24 57. 10-64 i n 57. 37-01 21. 37-85 21. 28-68 23. 1-96 25. 42-59 29.18-19 33. 33-75 47. 18-87 + 7-53 0-89 + 2-96 + 6-45 + 9-45 + 11-90 + 13-83 + 16-92 o / 116.56.42-81 116.40.39-23 61.48.50-31 61.33.57-86 61.43.22-13 61.58. 11-65 63. 29. 50-31 63. 44. 39-93 66.31. 4-31 66. 45. 57-01 70.37.11-38 70.52. 9-80 75. 36. 52-22 75.51.58-65 93.56. 5-81 94. 11.43-21 >t 54-87 54-85 54-85 54-84 54-83 54-82 54-81 54-78 Pollux jS Tauri Pollux Moon's L. L. ... Tauri a. Orinnis Moon's L. L. ... Regulus a Orionis Moon's U. L. ... Pollux Procyon Pollux Moon's U. L. . . . Regulus Capella Moon's U. L. . . . Regulus & Tauri a. Orionis Procyon Pollux Moon's U. L. . . . Procyon .... Pollux Regulus Moon's U. L. . . . Regulus Moon's U. L. . . . /3 Tauri a Orionis Procyon The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (315) i Year, * Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. o-f . .3:8 g: "fefc CO & tf) Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Sriui- diameter. Geocentric N. P. D. of U. L. or L. L., and of Jenter, at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 3. 27'. isiy. Apr.10 11 29 30 May 1 2 3 i 6 7 8 Pollux O 1 II 61.29.31-95 77. 5.44-00 101. 38. 45-70 107. 42. 39-15 61.30. 8-90 82. 34. 30-80 61.42.40-00 61.29.30-15 62. 57. 25-00 61.29.31-10 77. 5.43-50 74.21.41-80 84. 15. 29-85 61. 29. 31-50 65. 31. 15-50 74.21.42-65 61. 30. 10-00 82.34.29-60 69.13.21-90 77. 5.44-20 73. 52. 30-00 74. 21.44-60 84. 15. 29-50 61.29.31-80 77. 5.43-60 85. 17.32-15 77. 5.41-50 74.21.42-60 91.40.11-60 44. 8.59-10 61. 29. 32-00 74.21.43-10 98.11. 2-10 77. 5.45-35 O 1 II 23. 0.51 38. 37. 3 63.10. 5 69. 13. 58 23. 1.28 44. 5.50 23. 13. 59 23. 0.49 24. 28. 44 23. 0.50 38.37. 3 35.53. 1 45. 46. 49 23. 0.51 27. 2.35 35.53. 2 23. 1.29 44. 5.49 30. 44. 41 38.37. 3 35. 23. 49 35.53. 4 45. 46. 49 23. 0.51 38.37. 3 46. 48. 51 38.37. 1 35.53. 2 53.11.31 5. 40. 18 23. 0.51 35. 53. 2 59.42.21 38.37. 4 in. 29-68 29-64 29-55 29-22 29-94 29-90 29-90 29-88 29-78 29-78 29-78 29-78 29-73 29-73 29-73 29-70 29-60 29-60 29-58 29-58 29-47 29-47 29-58 29-58 29-65 29-65 29-90 29-90 29-90 29-95 29-95 29-95 29-94 29-94 o 55-0 48-0 43-0 41-0 52-0 51-0 51-0 49-0 54-0 54-0 45-0 41-0 58-0 58-0 55-0 48-0 64-0 64-0 57-0 57-0 57-0 55-0 60-0 63-0 55-0 50-0 54-0 54-0 49-0 63-0 63-0 56-0 53-0 57-0 / // 0. 24-25 0.46-17 1. 54-65 2. 31-34 0. 24-62 0.56-13 0. 24-89 0. 24-71 0. 26-13 0. 24-38 0. 46-67 0. 42-62 0. 58-34 0. 24-14 0.29-19 0.41-90 0. 23-76 0.54-13 0. 33-70 0. 45-24 0. 40-10 40'99 II 37-19 11-23 14-21 6-36 36-92 36-91 10-15 5-22 9-27 36-92 5-14 14-35 6-21 10-04 4-96 9-10 36-94 9-87 9-82 4-68 43-85 36-95 4-60 9-71 / * + 2.40-99 + 2.41-06 + 2.40-69 + 2.39-43 + 2.42-06 + 2.41-43 + 2. 39-98 +2.40-80 + 2.41-08 + 2.41-28 +2. 40-59 + 2.40-59 +2. 42-48 + 2.40-60 + 2.39-37 + 2.41-79 + 2.41-36 + 2.40-74 +2. 42-32 + 2.40-41 + 2.39-12 + 2.40-87 + 2. 39-93 + 2. 38-57 i it 57. 47-84 58. 20-24 54. 22-88 54. 14-29 54. 15-91 54. 28-64 54. 52-04 56. 6-43 56. 52-98 57. 41-49 / // 51. 24-04 54.23-14 21. 15-02 22. 16-35 24. 28-20 27.38-81 31. 34-68 40. 42-67 45. 21-03 49. 37-77 // + 16-77 + 15-71 + 1-41 + 5-09 + 8-26 + 10-82 + 12-86 + 15-75 + 16-66 + 17-03 o ' a 100. 52. 13-85 100. 36. 26-29 106. 53. 43-83 106. 37. 47-41 61. 24. 29-19 61. 39. 20-77 62. 38. 10-43 62. 52. 59-67 65. 9.49-21 65. 24. 38-89 68.48.47-19 69. 3.40-34 73.24. 2-55 73.39. 2-09 84. 40. 16-34 84.55.36-21 90.58.32-18 91.14. 4-76 97. 25. 25-91 97.41.11-74 ft 54-78 54-76 54-48 54-46 54-44 54-42 54-41 54-37 54-35 54-33 Regulus Moon's L. L. ... Moon's L. L. ... (3 Tauri Moon's U. L. . . . Pollux Moon's U. L. . . . Pollux Regulus @ Leonis Procyon Pollux Moon's U. L . . . . j3 Leonis (3 Tauri Moon's U. L. ... Regulus Moon's U. L. ... /3 Leonis Procyon 0. 57-81 0. 23-78 0. 45-53 1. 1-31 0. 46-00 0.41-67 1. 17-65 0. 5-63 0. 24-08 0.41-57 1. 38-64 0. 45-79 Pollux Regulus Moon's U. L. ... Regulus Leonis Moon's U. L. . . . Capella Pollux /3 Leonis Moon's U. L. ... Regulus The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 2(S)2 (316) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. I). Correction for Index Error Tabular Horizontal Equatorea Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi, diameter. Geocentric N.P.D. of U. L or L. L., and of Center, at Transi of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1819. May 8 9 13 14 10 17 June 2 6 7 9 10 12 13 July 2 3 I il 74.21.42-50 104. 30. 48-75 73. 48. 2G-40 74.21.43-40 117.50.14-20 114.43.49-00 61. 51. 36-90 104. 19. 13-00 82. 34. 28-60 84. 15. 30-10 74.21.42-50 88. 53. 33-40 69. 49. 8-50 61. 29. 33-15 62. 37. 15-05 82. 56. 27-35 117.15.20-15 84. 15. 27-60 77. 5.42-60 69.49. 6-60 116. 2. 2-95 69.49. 7-15 62.37.12-15 82.56.25-00 106. 9.11-75 69.49. 6-00 99. 48. 33-35 73. 48. 20-90 110. 32. 28-00 82. 56. 24-60 o / if 35.53. 2 66. 2. .8 35. 19. 45 35.53. 2 79. 21. 33 76.15. 8 23. 22. 56 65. 50. 32 44. 5.48 45. 46. 49 35.53. 2 50. 24. 52 31. 20. 28 23. 0.52 24. 8.34 44. 27. 40 78. 46. 39 45. 46. 47 38.37. 2 31.20.26 77. 33. 22 31.20.20 24. 8.31 44. 27. 44 57. 40. 31 31.20.25 61. 19. 52 35. 19. 40 72. 3.48 44. 27. 44 in. 29-94 29-94 30-00 30-00 30-00 29-96 29-96 29-87 29-83 55-0 52-0 65-0 54-0 44-0 43-0 53-0 53-0 66-0 66-0 57-0 59-0 55-0 67-0 52-0 52-0 51-0 07-0 07-0 51-0 47-0 50-0 49-0 49-0 45-0 52-0 54-0 67-0 64-0 64-0 / U 0. 41-64 II 4-51 45-04 4-07 40-49 5-37 8-54 3-74 23-67 37-66 21-08 4-52 7-15 8-20 22-58 22-33 20-09 3-91 22-22 41-72 1-53 / // + 2.40-37 +2. 38-57 +2.38-86 +2.38-57 + 2.42-44 + 2.40-89 + 2.40-02 + 2.40-16 + 2.40-66 + 2. 40-38 + 2. 41-05 + 2.42-62 + 2.41-32 +2. 40-82 + 2.39-77 + 2.41-82 + 2.41-76 + 2. 40-98 +2.41-27 + 2.41-85 / // 58. 28-01 59. 52-12 59. 33-98 58. 39-81 56. 6-62 60.17-40 60. 35-70 59. 31-58 58.48-40 58. 45-44 / // 53. 15-23 58. 41-88 57.42-61 53.21-10 43. 2'92 58. 59-82 59. 1-37 54. 53-55 51. 24-78 55. 44-52 it + 16-62 - 6-42 11-44 16-57 + 15-82 + 9-08 10-21 -16-74 17-59 + 14-27 O f II 103.42. 5-66 103.58. 4'20 116.59. 9-20 117.15.30-71 113. 52. 30-58 114. 8.47-14 103.30.24-32 103. 46. 26-08 88.14. 3-75 88. 29. 23-67 116.23.32-95 116. 7. 4-53 115. 9.50-81 115.26.24-22 105.19. 4-75 105. 35. 20-65 99. 1.17-41 99.17.21-52 109.42. 3-35 109. 58. 6-65 II 54-31 54-22 54-20 54-16 53-93 53-89 53-87 53-86 53-86 53-90 Moon's ILL Aldebaran 2. 9-59 0. 40-07 0.41-81 5. 4-58 3. 56-91 0. 25-02 2. 7-87 0. 54-33 0. 57-55 0.41-22 1. 8-93 0. 35-01 0. 23-85 0.25-65 0. 56-12 4.41-00 0. 56-93 0. 44-28 0.35-16 4. 17-85 0.35-41 0. 26-12 0.57-15 2.22-17 0. 35-24 1.44-91 0. 39-55 2. 51-56 0. 55-08 Moon's U. L. .. . Moon's U. L. . . . ' a Andromedoe. . . Moon's U. L. . . . a Orionis 29-80 29-76 29-92 29-90 29-90 29-58 29-58 29-58 29-54 29-54 29-78 29-78 2993 29-94 29-94 29-94 29-91 29-88 29-73 29-74 29-74 Moon's U. L. . . . Pollux a Coronas Borealis a Serpeutis Moon's L. L . . . . Procyon Moon's U. L. . . . * Coronae Borealis a Serpentis Moon's U. L Moon's D. L. ... Aldebaran Moon's U. L. . . . a. Serpentis The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb wi.ich was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (317) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N.P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obl'ujuity of Ecliptic. 2'.F. 27'. 1811). July 3 4 9 29 30 31 Aug. 1 2 4 5 6 8 9 O ' 73.48.20-10 82. 56. 25-00 115. 2.41-00 82. 56. 22-95 77.14.40-10 108. 33. 23-95 73. 48. 17-55 102. 59. 54-25 82. 56. 24-65 77. 14.39-10 82. 34. 26-10 108. 34. 31-10 82. 56. 25-00 77. 14. 39-40 81.32. 31-90 113.23.47-90 75. 20. 24-45 77. 14. 39-55 81.32.32-25 116.59.23-40 75.20.24-10 77. 14. 38-70 119.23. 3-00 81.32.31-90 75. 20. 25-90 81.32.31-40 111.58. 12-60 77. 14. 38-15 82.56.24-10 77. 14. 37-65 81.32.29-00 91.22.33-50 77. 14. 39-00 o i a 35. 19. 39 44. 27. 45 76.34. 44. 27. 42 38. 45. 59 70. 4.43 35. 19. 37 64. 31. 13 44. 27. 44 38. 45. 58 44. 5.45 70. 5.50 44. 27. 44 38. 45. 58 43. 3.51 74.55. 7 36.51.43 38. 45. 59 43. 3.51 78. 30. 42 36.51.43 38. 45. 58 80. 54. 22 43. 3.51 36. 51. 45 43. 3. 50 73. 29. 32 38. 45. 57 44. 27. 43 38. 45. 57 43. 3.48 52. 53. 53 38. 45. 58 in. 29-68 29-75 29-74 30-07 30-07 30-07 30-02 30-00 30-00 30-00 30-00 29-97 29-97 29-97 29-97 29-91 29-91 29-91 29-91 29-91 29-83 29-83 29-83 29-83 29-80 29-92 29-92 29-86 30-00 30-00 30-00 30-00 30-03 o 77-0 67-0 65-0 61-0 58-0 53-0 63-0 72-0 69-0 64-0 70-0 75-0 71-0 67-0 64-0 71:0 66-0 66-0 64-0 65-0 64-0 63-0 63-0 58-0 62-0 60-0 61-0 64-0 64-0 62-0 60-0 56-0 68-0 / // 0. 38-71 0. 54-77 3. 49-95 0. 56-02 0.46-14 2. 38-82 0. 40-25 1.56-42 0. 55-01 0. 45-48 0. 54-21 2.31-59 0. 54-74 0. 45-17 0. 52-86 3. 23-38 0.42-17 0.45-16 0. 52-76 4. 29-81 0. 42-23 0. 45-31 5. 37-77 0. 53-25 0. 42-35 0. 53-20 3. 9-27 0. 45-27 0. 55-56 0. 45-66 0. 53-34 1.15-99 0.45-17 n 41-63 1-42 0-92 6-56 41-04 59-33 3-69 58-34 59-28 3-57 6-01 47-10 3-45 5-85 46-88 3-23 5-54 46-66 5-07 2-78 58-79 2-55 4-61 2-46 ' // + 2.42-82 +2.41-05 + 2. 42-05 + 2.40-32 + 2.43-24 + 2. 39-67 + 2.39-11 + 2.38-03 + 2.39-54 + 2.39-00 + 2.41-25 + 2.40-48 + 2.38-74 + 2. 40-84 + 2.40-55 + 2.39-22 + 2.40-39 + 2.38-41 + 2.40-47 + 2. 39-36 + 2.39-13 + 2.39-24 + 2.42-27 + 2.38-29 / // 59. 42-05 60. 43-22 56. 39-86 57. 31-86 58. 27-94 59. 24-26 60. 15-23 61. 18-69 59. 31-12 / * 57. 55-06 56. 55-04 50. 58-88 53. 56-00 56. 18-03 58. 4-25 59.21-74 58. 37-55 47. 16-07 n + 11-20 16-84 + 15-24 + 14-31 + 12-16 + 8-26 + 2'52 -15-79 19-10 O 1 II 114.11. 6-60 114. 27. 25-36 107. 41. 32-76 107.58. 8-23 102. 13. 15-49 102. 28. 44-48 107.45.32-31 108. 1. 15-51 112.33.21-11 112.49. 19-63 116. 8.20-97 116.24.34-87 118.31.56-56 118. 15.28-73 111. 5. 7-94 110.48.22-79 90. 38. 54-53 90. 55. 10-31 a 53-91 53-95 54-27 54-29 54-31 54-34 54-36 54-42 54-48 a Serpentis. .... Moon's U. L. . . . a Serpentis Moon's U. L. ... Moon's TJ. L. . a Opliiuchi Moon's U. L. . . . Moon's U. L. . . . a Herculis Moon's U. L. . . . a Herculis Moon's L. L. ... ex. Herculis Moon's L. L. ... a Ophiuchi a Serpentis Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (318) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. War, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular! N.P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of MOOD'B N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1819. Aug. 9 10 12 14 28 29 30 31 Sep. 1 3 a 10 12 a Aquilae / " 81.32.30-05 84. 24. 24-50 82. 56. 24-50 62.37. 8-60 77. 14. 37-10 81.32.30-50 62. 11.35-00 75. 20. 23-50 77. 14. 36-10 118.29.15-70 81.32.30-75 82. 56. 24'90 77. 14. 36-70 118. 7.27-40 81. 32. 27-50 69.49. 8-00 77. 14. 34-55 81.32.27-45 1 14. 32. 36-30 102. 42. 20-25 81.32.28-30 87.43. 1-00 84. 15. 22-90 61. 29. 38-00 69. 51. 35-40 75. 22. 47-95 81. 34. 53-00 62. 39. 48-50 69. 51. 34-50 62.39.36-10 62. 22. 50-50 61.32. 5-25 O ' 43. 3.49 45. 55. 44 44. 27. 44 '24. 8.28 38. 45. 56 43. 3.50 23. 42. 54 36.51.43 38. 45. 55 80. 0.35 43. 3.50 44 27 44 in. 30-03 30-03 29-97 29-82 29-82 29-96 30-00 29-75 29-75 29-52 29-50 29-14 29-09 o 61-0 56-0 69-0 74-0 67-0 64-0 63-0 65-0 65-0 65-0 60-0 61-0 58-0 52-0 51-0 61-0 55-5 50-0 48-5 56-0 56-0 50-0 56-0 56-0 70-0 67-0 60-0 51-0 64-0 64-0 51-0 53-0 t a 0. 53-29 0. 59-48 0. 54-96 0. 24-75 0. 44-94 0. 52-85 0. 24-94 0. 42-03 0. 45-01 5. 4-60 0. 52-45 0. 54-29 0. 44-63 5. 0-20 0. 53-07 0. 34-13 0. 45-55 0. 53-60 3. 47-80 1. 57-56 0. 53-38 1. 7-03 0. 58-79 0. 24-33 0. 34-04 0.42-14 0. 53-25: 0. 26-02 0. 34-64 0.25-50 0. 25-86 0.24-73 // 4-47 58-71 12-71 2-19 3-79 44-81 1-00 2-05 58-27 O.OQ / rt + 2.41-13 + 2.39-25 + 2. 39-36 + 2.40-15 + 2. 40-44 + 2. 39-28 + 2.39-89 + 2.38-85 + 2.39-08 + 2. 39-60 + 2.41-29 +2. 37-65 + 2.40-74 +2. 40-72 +2. 39-72 +2. 40-03 + 2.40-55 + 0.11-15 + 0.14-42 + 0. 14-78 + 0. 11-68 + 0. 12-02 + 0. 13-44 / n 58. 33-39 54. 39-75 58. 58-53 60.21-90 60. 47-30 60. 45-74 59. 34-56 55. 15-43 54. 20-41 ' n 41.51-78 21. 46-90 57. 56-58 59. 14-64 58. 51-00 54.32-24 44. 55-05 22. 23-86 21. 46-93 // 17-89 3-60 + 4-76 - 7-72 -13-31 -19-31 19-27 5-15 + 2-87 O / II 83. 45. 53-87 84. 1.53-88 61. 52. 49-42 62. 7.45-61 117.38.68-30 117.55. 5-17 117.16. 0-67 116.59.31-02 113.40.26-11 113.23.49-52 101.52.44-78 101.36. 8-62 87. 1.33-81 87.17.50-53 62. 17. 58-96 62.33. 4-89 62. 1.44-68 61.46.53-77 ii 54-50 54-60 54-86 54-88 54-90 54-92 54-95 55-00 55-01 Moon's U. L. . . . aCoronaeBorealis a Ophiuchi Moon's U. L. . . . a Herculis a Ophiuchi Moon's U. L . . . . a Aquilae Serpentis .... a. Ophiuchi 38. 45. 56 79. 38. 46 43. 3.47 31. 20. 27 38. 45. 54 43. 3.46 76. 3.55 64. 13. 39 43. 3.47 49. 14. 20 45. 46. 42 23. 0. 57 31.20.28 36.51.41 43. 3.46 24. 8.42 31. 20. 28 24. 8.29 23. 51. 44 23. 0.58 Moon's L. L. ... a Aquilae 29-30 29-31 29-50 29-54 29-54 29-54 29-72 29-78 29-78 29-84 29-84 29-95 29-95 29-95 29-94 30-12 30-12 30-15 30-15 1-86 19-78 0-84 1-77 1-40 1-72 42-88 20-59 44-51 1-03 20-82 13-62 43-42 Arcturus a Ophiuchi a Aquilas Moon's L. L. . . . Moon's L. L. ... a. Aquihi' Moon's U. L Procyon Pollux Arcturus a, Herculis a Aquilae Moon's TJ. L. . . . Arcturus aCoronae Borealis Moon's L. L. ... Pollux The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION op MOON'S NORTH POLAR DISTANCE. (319) Year, i Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- 111 0' meter Refrac- tion. <~ a 3 . 330 6" Q; K "t. '-* 03 2 ^ C/5 Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ediptie. 23. 27'. 1819. Sep. 25 26 28 29 30 Oct. 1 2 3 4 5 7 8 9 a Ophiuchi o / /' 77. 16. 58-75 119.14.36-00 81. 34. 52-00 91. 9. 59-00 77.17. 1-10 81. 34. 53-60 116. 19.31-50 91.10. 1-25 81.34.53-00 51.22. 7-85 91. 9. 59-60 105. 56. 49-00 51.22. 8-51 81. 34. 53-50 91. 10. 0-40 99. 9. 56-60 69. 51. 36-80 81.34. 52-60 91. 9.59-10 91. 57. 33-40 77.17. 0-90 91.10. 0-35 84. 14. 48-40 91. 9.57-00 69.51.33-15 77. 16. 56-55 81.34.49-00 91. 9.53-40 71.39.52-50 63.35. 4-50 51.22. 5-60 45.21. 2-50 61. 30. 58-50 O ' ft 38. 45. 52 80. 43. 29 43. 3.45 52. 38. 52 38. 45. 54 43. 3.47 77.48.25 52. 38. 54 43. 3.46 12.51. 1 52. 38. 53 67. 25. 42 12.51. 2 43. 3.47 52. 38. 53 60. 38. 50 31.20.30 43. 3. 46 52. 38. 52 03. 26. 26 38. 45. 54 52. 38. 53 45. 43. 41 52. 38. 50 31. 20. 20 38. 45. 50 43. 3.42 52. 38. 46 33. 8.46, 25. 3.58 12. 50. 59 6. 49. 56 22. 59. 52 29-44 29-57 29-57 29-60 29-60 29-60 29-60 29-58 29-63 29-74 29-75 29-75 29'68 29-68 29-68 29-66 29-66 29-63 29-70 29-70 29-56 29-54 29-52 29-58 29-87 29-94 29-96 29-96 30-03 29-85 29-95 29-72 29-64 o 58-0 54-0 49-0 48-0 58-0 56-0 56-0 56-0 56-0 62-0 60-0 60-0 64-0 61-0 60-0 59-0 67-0 60-0 59-0 58-0 61-0 56-0 55-0 47-0 49-0 48-0 46-0 44-0 44-0 55-0 60-0 56-0 63-0 / // 0. 45-17 5. 34-96 0. 53-76 1. 15-53 0. 45-41 0. 53-05 4. 16-60 1. 14-25 0.53-11 0. 12-87 1. 14-08 2. 15-34 0. 12-79 0. 52-67 1. 13-90 1. 40-25 0. 33-91 0. 52-77 1.14-10 1. 16-41 0. 45-08 1.14-15 0. 58-18 1. 15-63 0. 35-41 0. 46-88 0. 54-80 1. 17-07 0. 38-56 0. 26-85 0. 13-01 0. 6-84 0.23-81 If 0-62 0-18 28-13 0-70 0-13 28-10 0-11 34-55 28-06 34-55 0-08 28-05 23-60 0-05 28-03 0-92 28-02 28-01 24-11 1-01 o-oo 28-00 34-65 24-85 / '/ +0. 16-70 + 0. 14-42 + 0. 13-60 + 0.14-19 + 0.13-48 + 0.12-60 + 0. 14-00 + 0. 13-83 + 0.14-38 + 0. 13-25 + 0. 13-91 + 0. 13-75 + 0. 12-89 + 0. 14-68 + 0. 14-83 + 0. 14-94 -t-0. 13-52 + 0. 15-38 + 0.15-55 +0. 17-58 + 0. 16-20 + 0. 17-53 + 0.16-04 + 0.15-51 / II 58. 42-89 59. 41-86 60. 9-43 60. 4-02 59. 44-38 59. 11-46 57. 39-54 56. 1-17 54. 46-95 / // 57. 48-72 58. 12-55 55. 22-66 52. 10-12 47. 47-14 42. 10-31 31. 18-77 23. 31-51 21. 12-01 + 0-87 10-69 -17-88 19-30 19-53 -18-75 14-48 7-13 + 1-39 ' 118.22.36-28 118.38.38-88 115. 25. 59-65 115. 9.40-94 105. 4. 13-63 104. 47. 47-39 98. 19. 59-67 98. 3.34-91 91. 11. 36-33 90. 55. 16-93 83. 33. 32-13 83. 49. 42-53 71. 9.14-53 71.24.59-83 63. 12. 8-49 63. 27. 26-92 61. 10. 26-10 61.25.24-26 n 55-05 55-04 55-03 55-02 55-02 55-01 55-00 54-98 54-96 Moon's U. L. . . . a Aquila? a Aquarii a Ophiuchi a. Aquilae Moon's L. L. ... a Aquarii a. Lyrae Aquarii Moon's L. L. a Aquarii Moon's L. L. ... Arcturus a AquiltB a Aquarii Moon's L. L. ... a Ophiuchi a Aquarii Moon's U. L. a Aquarii Arcturus a. Aquilae Moon's U. L. . . . Moon's U. L. . . . a Lyrae a, Cvgni Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (320) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.'27'. 1819. Oct. 10 11 12 13 25 26 Nov.22 24 25 27 O f It 69. 51. 36-50 62. 39. 38-90 82.58.51-60 81. 34. 53-20 63. 15. 36-10 69.51.38-50 77. 17. 0-00 81.34.52-00 61. 53. 29-20 65. 49. 50-20 62. 39. 37-65 77.17. 0-85 69. 31. 45-40 81.34.52-50 117. 19. 56-80 91. 9.54-70 75. 44. 37-60 61. 53. 29-00 113.26.52-10 91. 9.55-90 75.44.38-05 61. 53. 28-25 81. 34. 48-00 114. 38. 20-30 91. 9.51-70 69.51.40-40 91. 9.52-80 103. 41.30-10 75. 44. 33-40 67. 22. 38-20 81.34.49-90 91. 9.53-05 75.44.34-50 97. 4. 16-10 91. 9.51-50 61.53.21-10 83.28. 7-00 67. 22. 35-65 o / // 31.20.30 24. 8. 32 44. 27. 45 43. 3.46 24. 44. 29 31. 20. 32 38. 45. 53 43. 3.45 23. 22. 22 27. 18. 43 24. 8.31 38. 45. 54 31. 0.38 43. 3.46 78. 48. 50 52. 38. 48 37.13.31 23. 22. 22 74. 55. 45 52. 38. 49 37. 13.31 23. 22. 21 43. 3.44 76. 7.16 52.38.48 31.20.36 52. 38. 49 65. 10. 26 37. 13. 29 28. 51. 34 43. 3.46 52. 38. 49 37. 13. 31 58. 33. 12 52. 38. 48 23. 22. 17 44.57. 3 28.51.32 29-74 29-74 29-74 29-72 29-74 29-78 29-80 29-80 29-84 29-86 29-90 29-90 29-87 29-90 29-43 29-44 29-44 29-44 29-62 29-67 29-67 29-67 29-47 29-48 29-50 29-65 29-82 29-82 29-82 29-82 29-85 29-78 29-76 29-76 29-82 29-82 29-82 29-82 o 69-0 69-0 69-0 61-0 56-0 71-0 68-0 61-5 56-0 50-0 70-0 67-0 58-0 60-0 39-0 35-5 34-0 33-0 41-0 39-0 37-0 36-0 30-0 35-0 32-0 30-0 35-0 35-0 34-0 35-0 35-0 32-0 31-0 31-0 32-0 31-0 31-0 32-0 / // 0. 33-87 0. 24-93 0. 54-54 0. 52-74 0. 26-30 0. 33-78 0. 44-81 0. 52-83 0.24-75 0. 29-96 0. 25-01 0. 45-06 0. 34-32 0. 53-16 4. 47-71 1. 17-09 0. 44-90 0. 25-61 3. 34-38 1.17-13 0. 44-97 0. 25-65 0. 55-04 3. 54-88 1.17-82 0. 36-57 1. 18-17 2. 8-53 0. 45-48 0. 32-93 0. 55-87 1. 18-56 0. 45-68 1. 38-09 1. 18-67 0. 26-05 1. 0-11 0.33-14 tf 25-03 17-40 0-05 59-98 25-23 1-39 o-oo 9-72 17-78 1-46 o-oo 28-17 38-33 7-66 28-18 38-27 7-52 2-22 29-29 35-55 29-39 38-12 28-71 2-51 29-44 38-14 29-56 5-02 28-58 ' i + 0. 14-66 + 0. 13-57 + 0. 13-91 + 0.14-04 + 0.12-95 + 0. 16-58 + 0.15-17 + 0. 15-77 + 0.15-12 + 0. 15-55 + 0. 14-34 + 0. 16-38 + 0.15-83 + 0. 13-05 + 0.15-15 + 0. 15-25 + 0. 13-62 + 0. 19-18 + 0. 19-77 + 0. 18-58 +0. 18-42 + 0. 19-24 + 0.17-58 + 0.16-74 + 0. 17-83 + 0.17-96 + 0. 19-39 + 0. 17-87 + 0. 19-79 ' n 54. 24-56 54. 13-38 54. 12-96 59. 5-95 59. 15-70 59. 27-79 59. 4-04 58. 45-76 58. 0-21 / // 22. 34-23 24. 40-72 27.43-87 57. 50-37 57. 4-49 57. 34-90 53. 26-16 49. 56-75 40. 46-48 ft + 5-16 + 8-29 + 10-75 - 8-86 -13-27 12-28 -17-35 18-08 -17-29 / II 62.53.47-17 62.38.55-13 65. 26. 2-85 65. 11.13-87 69. 5. 1-60 68. 50. 12-73 116.27.18-09 116.11. 9-19 112.33.49-93 112. 17.38-37 113.45.11-74 113.28. 56-87 102. 50. 48-23 102.34.39-85 96. 16. 33-03 96. 0.29-64 82. 48. 56-94 82.33. 6-01 II 54-94 54-93 54-92 54-74 54-72 54-20 54-16 54-14 54-11 a Corona; Borealis Moon's L. L. ... Arrturus a Ophiuchi a A<|uil;r a Andromedoe. . . Moon's L. L. ... a. Corona; Borealis a, Ophiuchi Moon's L. L. ... a Aquilae Moon's L. L. . . . a. Peeasi . . a Andromeda;.. . Moon's L. L. ... a. Aquarii a. Pegasi a Andromedae. . . a Aquilae Moon's L. L. ... a Aquarii Arcturus a Aquarii Moon's L. L. ... a Arietis a Aquilaj Moon's L. L. ... a Aquarii a, Andromedae . . Moon's L. L. ... a A rietis The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 0_ SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (321) Year, ' Month, and ! Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1 1919. Vov.29 Dec. 1 2 3 10 24 25 26 27 29 31 Moon's L. L. ... a Aquilae O / II 71.35.20-05 81.34.49-50 91. 9.52-85 67. 22. 36-10 63. 25. 3S-65 61. 53. 20-45 67. 22. 35-60 61.49.41-90 69.51.42-25 51.22.11-25 81. 34. 47-60 45.21. 1-40 61.50. 1-50 61. 53. 20-90 67. 22. 34-00 92. 24. 44-70 69.51.44-15 81. 34. 53-95 61. 53. 22-60 85. 14. 28-50 67. 22. 36-65 81. 34. 53-75 78. 50. 19-10 81. 34. 52-70 67. 22. 35-65 61. 53. 22-00 67. 22. 34-95 68.21.51-60 73. 50. 34-00 61. 53. 23-40 67. 22. 36-50 73. 50. 33-00 62. 13. 17-55 61. 53. 23-55 67. 22. 37-30 o / 33. 4. 16 43. 3.46 52. 38. 49 28. 61. 32 24. 54. 35 23.22.16 28.51.32 23.18.38 31. 20. 39 12.51. 7 43. 3.44 6. 49. 57 23. 18. 58 23. 22. 17 28. 51. 30 53. 53. 41 31. 20. 40 43. 3.50 23. 22. 19 46. 43. 25 28. 51. 33 43. 3.50 40. 19. 15 43. 3.49 28. 51. 32 23. 22. 18 28.51.31 29. 50. 48 35. 19. 30 23. 22. 19 28. 51. 33 35. 19. 29 23. 42. 14 23. 22. 20 28.51.33 in. 29-60 29-80 29-90 29-93 29-93 29-86 29'90 29-95 30-08 30-07 30-07 30-07 29-98 29-85 29-85 29-85 29-85 29-22 29-17 29-16 29-16 29-24 29-30 29-38 29-37 29-34 29-34 29-34 29-34 29-50 29-50 29-50 29-47 29-21 29-22 51-0 47-0 43-0 37-0 37-0 44-0 40-0 36-0 33-0 41-0 40-0 41-0 40-0 25-5 22-0 15-0 16-0 36-0 34-0 33-0 32-0 33-0 30-0 31-0 28-0 30-0 29-5 31-0 30-0 25-0 24-0 22-5 22-0 26-0 24-0 / /t 0. 37-36 0. 54-40 1. 17-08 0. 3-2-92 0. 27-74 0. 25-38 0. 32-68 0. 25-81 0. 36-87 0. 13-58 0. 55-69 0. 7-11 0. 25-63 0. 26-38 0. 33-89 1. 25-46 0. 37-95 0. 54-58 0. 25-32 1. 2-26 0. 32-41 0. 54-96 0. 50-34 0. 55-45 0. 32-92 0. 25-68 0. 32-78 0. 34-02 0. 42-10 0. 26-10 0. 33-35 0. 43-01 0. 26-66 0. 25-79 0. 33-03 // 3-21 29-80 28-42 4-93 28-38 38-33 43-42 3-45 2(5-16 4-91 28-16 40-56 6-35 5-41 28-04 6-50 6-65 28-06 6-52 28-07 33-69 5-67 28-10 33-72 5-82 28-13 / // + 0.19-31 + 0. 19-87 + 0. 19-40 + 0. 19-10 + 0.20-10 + 0. 19-21 + 0.18-59 + 0.20-16 + 0. 17-65 + 0.17-63 + 0.20-27 + 0. 18-46 + 0. 17-82 +0. 17-49 + 0. 18-98 + 0. 17-79 + 0. 18-50 + 0.19-49 + 0.17-84 + 0.20-34 + 0. 17-59 + 0.16-17 + 0. 18-25 + 0.17-71 + 0.16-48 + 0.17-80 i 57. 3-16 55. 59-00 55. 27-58 54. 58-84 55. 19-35 58. 5-53 57. 28-59 56. 20-52 55. 22-33 / g 30. 55-31 23. 22-31 21. 44-45 21. 33-48 44. 30-85 42. 5-45 36. 59-02 27. 49 92 22. 3-31 u 13-60 6-56 2-19 + 2-14 + 15-21 17-44 16-03 11-26 - 3-60 o * 11 71. 5.34-72 70. 49. 59-36 63. 2. 57-05 63. 18. 14-88 \ 61, 28. 40-54 61. 43. 49-79 61.29.14-59 61.44.15-99 91. 42. 13-30 91. 27. 6-29 84.34. 0-85 84.18. 8-46 78. 14. 45-04 77.59. 2-73 67.56. 5-55 67.39.41-84 61.52. 1-88 62. 7. 9-70 i i 54-08 54-05 54-04 54-02 53-96 53-91 53-91 53-92 53-93 a, Aquarii a Arietis Moon's U. L. . . . a Andromedae . . Moon's U. L. . . . Arcturus Moon's U. L. . . . a Andromedae. . . a Arietis Moon's L. L. ... Arcturus a Andromedae. . . Moon's L. L. ... a Arietis Moon's L. L. ... a Andromedae. . . a. Arietis Moon's L. L. ... Aldebaran a Andromedae . . a Arietis Aldebaran Moon's U. L. . . . a Andromedae . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. ' GREENWICH LUNAR REDUCTIONS. 2(T) (322) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading-. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. 1 ncrease of Moon's N.P.D. during the Passage of Semi, diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity Ecliptic. 23. 27'. 1319. Dec.3l 1820. Jan. 1 2 3 4 5 22 23 24 25 27 28 31 O / '/ 73. 50. 34-25 62.42. 0-60 65. 6. 1 1-50 51.22.22-65 81.34. 56-40 75.44.37-65 61. 53. 23-90 ; 67. 22. 36-fiO 73. 50. 34-50 73.38. 3-65 67. 22. 36-70 73. 50. 32-50 78.45.49-80 51.22.21-65 81.34.55-85 67. 22. 37-50 73. 50. 35-50 84.21. 4-65 61. 53. 28-40 67.22.41-00 74.33. 9-10 73. 50. 36-50 67.22.41-60 69. 27. 57-70 73. 50. 39-50 61. 32. 20-70 65. 34. 17-00 73. 50. 39-65 61.32.31-15 82. 36. 53-50 73.50.41-50 82. 36. 53-50 62. 8.28-60 45.21.20-00 61.32.31-35 O t ft 35. 19. 30 24. 10. 57 26. 35. 8 12.51.19 43. 3.52 37. 13. 34 23. 22. 20 28.51.33 35. 19.31 35. 7. 28.51.33 35. 19. 29 40. 14. 46 12.51.18 43. 3.52 28. 51. 34 35. 19. 32 45.50. 1 23. 22. 24 28.51.37 36. 2. 5 35.19.33 28. 51. 33 30. 56. 49 35. 19. 31 23. 1.21 27. 3. 8 35. 19. 31 23. 1. 22 44. 5.45 35. 19. 33 44. 5.45 23. 37. 20 6.50.11 23. 1.22 ID. 29-24 29-24 29-50 29-58 29-58 29-72 29-75 29-78 29-85 29-90 29-94 29-94 30-00 30-06 30-06 30-06 30-06 30-00 30-00 30-04 30-04 30-04 29-95 29-95 2993 29-92 29-70 29-70 29-70 29-70 29-50 29-42 29-29 30-10 29-91 21-0 21-0 22-0 30-5 31-0 30-0 28-0 28-0 27-0 25-0 24-0 23-0 200 24-0 25-0 26-0 28-0 27-0 26-0 24-0 24-0 22-0 34-0 34-0 35-0 35-0 41-0 42-0 42-0 42-0 39-0 39-0 46-0 40-0 42-0 / t 0.42-77 0.27-11 0. 30-42 0. 13-66 0. 55-84 0. 45-72 0.26-15 0. 33-38 0.43-11 0. 43-03 0. 32-32 0. 43-61 0. 52-51 0. 14-08 0.57-47 0. 33-84 0. 43-32 1. 2-90 0. 26-49 0. 33-96 0. 44-82 0. 43-85 0.33-15 0. 36-06 0. 42-50 0. 25-48 0. 30-02 0.41-56 0. 24-93 0. 56-79 0. 41-54 0. 56-61 0. 25-09 0. 7-16 0.25-10 II 33-76 52-59 7-93 40-88 6-04 28-21 33-82 28-20 33-85 53-21 8-24 28-23 33-87 8-06 28-89 34-24 28-96 34-27 8-51 34-28 8-48 3-22 34-31 332 40-35 8-24 / // + 0. 16-74 + 0. 16-28 + 0. 15-69 + 0. 17-51 + 0. 15-99 + 0. 18-23 + 0. 16-21 + 0. 19-18 + 0.17-74 + 0.17-48 + 0. 14-92 + 0. 16-89 + 0.15-05 + 0. 13-17 + 0. 13-93 + 0. 13-89 + 0.14-21 + 0. 12-27 + 0. 13-33 + 0. 13-07 + 0. 12-40 + 0. 12-93 + 0.11-27 + 0.13-21 + 0.13-19 + 0.11-79 i it 54. 35-93 54. 18-96 64. 2-01 54. 4-73 54. 16-46 57.25-16 56. 38-60 65. 57-71 54. 32-66 / // 22. 9-82 24. 6-38 30. 53-06 34. 44-65 38. 44-48 33. 34-11 28. 55-16 25. 14-67 21. 39-22 ir + 4-67 + 7-96 + 12-16 + 13-32 + 14-12 -14-91 12-14 - 8'73 + 3-49 O / II 62. 20. 39-57 62. 35. 34-72 64.42.59-99 64. 57. 50-50 73. 8.2259 72. 53. 36-70 78. 12.29-11 77. 57. 42-49 83.43.52-81 83.29. 2-98 74. 0.48-38 73.45. 7-01 69. 0. 4-01 68. 44. 35-36 % 65. 9.54-88 64. 54. 37-40 61.47.23-54 62. 2.17-79 53-95 53-97 53-99 54-00 54-01 54-22 54-24 54-26 54-32 Moon's U. L. . . . Moon's U. L . . . a Andromedte. . . Aldebaran Moon's L. L . . . . Aldebaran Moon's L. L. ... a. Lvrae At|uilcC Aldebaran Moon's L. L. ... a, Andromeda?. . . a, Arietis Moon's L. L. ... Aldebaran a. Arietis Moon's L. L. ... /3 Tanri Moon's L. L. ... Aldebaran j3 Tauri a. Orionis Moon's U. L. ... /3 Tauri The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. ' SECT. II. INVESTIGATION OF MOON'S NORTH POLAII DISTANCE. (323) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. % Refrac- tion. Seconds of I Star's Tabular! N.f.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon'i N.P.D. during tbe Passage of Semi- diameter. fieocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1820. Jan. 31 iFeb. 1 4 8 22 26 27 28 Mar. 3 4 o / 82. 36. 53-75 77. 3.49-00 81.35. 4-00 73. 50. 39-00 61. 32. 30-00 82. 36. 53-05 82.33. 8'75 73.50.39-15 82. 36. 53 60 84.18. 0-60 100. 11. 22-35 73.50.40-75 61.32.30-70 118.20.58-55 81.35. 7-50 73.50.41-50 61.32.31-60 61.33.28-95 84. 18. 4-30 84. 18. 2-40 61.32. 10-90 70. 4. 1-50 74. 50. 58-00 81. 35. 6-50 73. 50. 40-40 61. 32. 29-95 82. 30. 53-00 84. 18. 1-60 80. 13. 33-15 82. 36. 53-25 84.18. 0-55 61.32. 8-60 104. 10. 27-05 106. 25. 59-85 84.18. 1-95 O ' H 44. 5.45 38. 32. 40 43. 3.55 35. 19. 30 23. 1.21 44. 5. 44 44. 2. 35. 19. 30 44. 5.45 45. 46. 52 61. 40. 13 35.19.32 23. 1.22 79. 49. 50 43. 3.59 35. 19. 33 23. 1.23 23. 2. 20 45. 46. 55 45. 46. 53 23. 1. 2 31.32.53 36. 19. 49 43. 3.58 35. 19. 31 23. 1. 21 44. 5.44 45. 46. 53 41. 42. 24 44. 5.44 45. 46. 52 23. 1. 65. 39. 18 67. 54. 51 45. 46. 53 in. 29-91 29-91 29-88 29-76 29' 76 29-76 29-72 29-93 29-93 29-93 29-90 30-03 30-03 29-93 29-93 29-67 29-67 29-67 29-63 29-98 29-98 29-98 29-96 29-89 29-82 29-82 29-80 29-80 29-80 29-78 29-80 29-80 29-85 29-90 29-90 o 42-0 41-0 38-0 34-0 33-0 32-0 29-0 33-0 32-0 32-0 36-0 43-0 43-0 39-0 45-0 43-0 43-0 43-0 41-0 30-5 30-5 30-5 28-0 30-0 30-6 29-0 29-0 28-0 26-0 30-0 29-0 29-0 27-0 29-0 28-0 / // 0.57-19 0.47-14 0. 55-58 0. 42-34 0. 25-45 0.58-11 0. 58-27 0. 42-68 0. 58-44 1. 1-98 1. 50-51 0. 41-93 0. 25-15 5. 20-82 0. 54-87 0.41-43 0. 24-85 0. 24-87 1. 0-21 1. 2-28 0. 25-77 0. 37-24 0. 44-80 0. 56-54 0. 42-74 0. 25-72 0.58-56 1. 2-24 0. 54-21 0. 58-39 1. 2-10 0. 25-70 2. 13-78 2. 28-60 1. 2-44 It 4-01 12-45 34-46 8-21 4-06 34-53 4-20 17-33 34-6-2 8-01 13-54 34-95 7-78 18-40 18-57 47-76 15-52 34-87 7-74 5-02 18-65 5-07 18-77 47-38 40-85 18-81 / // + 0. 13-07 + 0. 12-87 + 0.13-12 + 0. 12-76 + 0. 12-90 + 0. 12-70 + 0. 12-16 + 0. 14-75 + 0. 11-94 + 0. 12-16 +0.11-17 + 0. 12-02 + 0. 11-33 + 0.13-89 + 0. 13-89 + 0. 11-09 + 0.12-48 + 0.11-73 + 0. 12-07 + 0.13-46 + 0. 14-81 + 0. 13-43 + 0. 16-12 + 0. 13-08 + 0. 12-40 + 0. 14-42 / // 53. 57-73 54. 3-14 55. 4-05 58. 20-49 55.16-18 53. 57-93 53. 56-50 54. 1-07 55. 13-03 1 H 33. 25-73 37. 22-73 48. 18-23 57. 17-58 21. 25-52 28. 2-11 31.45-51 35. 44-61 50. 8-83 // + 13-07 + 13-92 + 14-59 + 6-63 1-83 + 11-21 + 12-78 '+13-82 + 14-17 O / It 76. 31. 36'06 76. 16.51-35 81.57.11-14 81.42.24-95 99. 25. 22-42 99. 10. 19-59 117.29.20-18 117.13.2369 61.12. 42-54 61.27.48-68 69. 36. 3T91 69.51.22-67 74. 19. 56-60 74. 34. 40-98 79. 39. 10-02 79. 53. 65-64 103.23. 0-38 103. 7.55-10 54-40 54-41 54-47 54-56 54-79 54-85 54-86 54-88 54-93 Moon's L. L. ... Aquilae Aldebaran /3 Tauri a Orionis Moon's L. L. ... Aldebaraii a Oriouis Procyon Moon's L. L. ... Aldebaran Moon's L. L. ... a Aquilae Aldebaran 8 Tauri Moon's U. L. . . . Pollux Moon's U. L. . . . Moon's U. L. . . . a. Aquilae Aldebaran ft Tauri Procyon Moon's U. L. . . . a, Orionis Procyon Pollux Moon's L. L . . . . Sirius Procyon The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 2 (T)2 (324) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star*s Tabular] N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1820. Mar. 4 6 8 20 22 23 24 25 29 30 31 Pollux O ' 61.32. 8-60 109.28.26-10 106.25.58-25 84. 18. 0-45 61.32. 9-25 117.30. 8-40 82. 36. 55-00 106.26. 1-50 84. 18. 3-60 119.10.13-50 62.21.52-65 84. 18. 5-00 61.32.10-85 77. 8.30-10 44.11. 16-50 61. 32. 32-40 64.56.41-55 77. 8.33-60 68.34. 9-90 45.21.33-20 73. 5.25-50 77. 8.30-30 84. 18. 6-90 61.32.10-60 77. 8.32-10 96. 27. 38-60 106.26. 9-10 84. 18. 7-70 61.32. 11-50 102.21.54-85 106. 26. 8-00 84. 18. 7-10 77. 8.30-70 107. 53. 16-70 Q / ft 23. 1. 70. 57. 17 67. 54. 49 45.46.51 23. 1. 78. 58. 59 44. 5.46 67. 54. 53 45. 46. 55 80.39. 5 23. 50. 44 45. 46. 56 23. 1. 2 38.37.21 5.40. 8 23. 1.23 26. 25. 33 38. 37. 25 30. 3. 1 6. 50. 24 34. 34. 17 38. 37. 21 45. 46. 58 23. 1. 2 38. 37. 23 57. 56. 30 67.55. 45. 46. 59 23. 1. 3 63. 50. 46 67. 54. 59 45. 46. 58 38. 37. 22 69. 22. 8 In. 29-90 30-05 30-05 30-05 30-05 30-05 30-17 30-17 30-17 30-08 30-10 30-10 30-10 30-10 29-67 29-67 28-97 28-97 28-77 29-11 29-52 29-52 29-94 29-94 29-94 29-90 29-88 29-90 29-90 29-92 29-85 29-85 29-85 29-93 o 28-0 26-0 24-5 24-0 24-0 24-0 32-0 32-0 31-0 29-0 44-0 40-0 40-0 34-5 49-0 49-0 450 42-0 41-0 35-5 34-0 33-0 49-0 49-0 49-0 43-0 52-0 / 0.25-84 2. 56-22 2. 30-79 I. 3-30 0.26-19 5. 8-17 0. 58-91 2. 28-98 1. 2-61 5. 57-08 0. 26-17 1. 1-29 0. 25-36 0. 48-22 0. 5-74 0. 24-55 0. 28-26 0. 45-69 0. 32-94 0. 6-98 0. 40-84 0. 47-44 0. 59-84 0. 24-76 0. 46-55 1.33-84 2.21-52 0. 59-52 0. 24-63 2. 0-29 2. 21-08 0. 59-42 0. 4(5-50 2.36-11 // 47-32 40-99 18-86 47-21 5-16 41-14 18-91 19-07 46-42 30-95 33-64 8-05 30-84 52-70 30-77 19-06 46-01 30-63 41-80 19-06 45-97 41-79 19-05 30-54 / // +0. 12-88 +0. 11-95 + 0. 15-11 +0. 11-77 + 0.11-25 + 0. 10-66 + 0.12-70 * + 0.12-78 + 0.10-21 + 0. 12-63 + 0. 11-40 + 0.11-10 + 0. 11-55 + 0. 12-52 + 0. 13-03 + 0.12-32 + 0. 10-65 + 0. 11-98 + 0.11-18 + 0.11-84 + 0. 9-84 + 0.12-71 + 0.12-53 + 0. 13-34 / H 55. 45-43 57. 9-34 58.51-92 56. 8-53 54.21-90 54. 6-58 54. 0-64 54. 47-92 55.11-99 55. 39-63 / // 52. 33-36 55. 58-28 57. 56'94 22. 29-37 23. 59-52 26. 53-67 30. 26-85 46. 16-06 49. 23-03 51. 56-26 I + 13-09 + 7-89 2-37 3-58 + 8-13 + 10-58 + 12-32 + 14-90 + 14-57 + 13-65 o / > 108.39. 15-28 108.24. 1-15 116.39.39-12 116.24. 2-07 118. 18.22-81 118.34.27-88 62. 0. 4-90 61.44.44-46 64. 33. 13-51 64.48. 4-82 68. 7.50-96 68. 22. 38-08 72. 35. 39-95 72. 50. 25-46 95. 43. 22-93 95. 28. 24-51 101.34.57-63 101. 19. 52-63 107. 4.23-06 106. 49. 10-52 V 54-94 54-96 54-98 55-02 55-00 55-00 54-99 54-98 54-97 54-96 Moon's L. L . . . . Procyon Pollux Moon's L. L . . . . a Orionis Sirius Moon's U. L. ... Moon's L. L . Pollux licgulus Capella $ Tauri Moon's U. L Moon's U. L. . . . a Cvsrni. . Moon's U. L. . . . Regulus Pollux Regulus Moon's L. L. ... Sirius Procyon 51-0 51-0 40-0 53-0 51-0 48-0 41-0 Pollux Moon's L. L. ... Procyon liegulus Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (325) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal 1'arallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. LJ or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1820. Apr. 3 : 6 18 19 20 21 22 23 24 Regulus O 1 II 77. 8.31-45 119. 3. 11-00 73. 50. 44-40 84. 18. 7-00 82. 36. 58-50 106. 26. 11-55 77. 8.33-00 115.15.13-00 61. 32. 36-35 82.36.59-10 61. 54. 10-50 61.32.12-65 84.18. 8-50 61.32.11-50 63. 53 21-20 77. 8.31-70 84.18. 7-00 67. 7.50-35 77. 8.31-55 74. 24. 34-05 61.32.11-00 71. 21. 33-90 77. 8. 31-10 74. 24. 35-55 84. 18. 7-50 61.32. 11-50 76. 19. 42-40 74. 24. 35-05 44. 1 1. 19-50 82. 36. 57-90 77. 8. 30-10 81.50. 4-00 61. 32. 33-95 84.18. 8-15 61.32. 12-10 87. 41. 12-75 ' '/ 38. 37. 22 80.32. 2 35. 19. 35 45. 46. 58 44. 5.50 67.55. 3 38. 37. 24 76.44. 4 23. 1.27 44. 5.50 23.23. 2 23. 1. 4 45.47. 23. 1. 3 25.22.12 38. 37. 23 45. 46. 58 28.36.41 38. 37. 23 35. 53. 25 23. 1. 2 32. 50. 25 38. 37. 22 35. 53. 27 45. 46. 59 23. 1. 3 37. 48. 33 35. 53. 26 5.40.11 44. 5. 49 38.37. 21 43. 18.55 23. 1.25 45. 46. 59 23. 1. 3 49. 10. 4 in. 30-05 29-92 29-80 29-75 29-57 29-57 29-50 29-35 30-05 30-05 30-04 30-03 29-97 29-97 29-97 29-97 30-04 30-06 30-06 30-10 30-14 30-14 30-14 30-14 30-26 30-26 30-26 30-26 30-40 30-40 30-40 30-40 30-40 30-40 30-40 30-40 o 45-0 38-0 59-0 50-0 600 58-0 49-0 35-0 62-0 62-0 60-0 59-0 63-0 63-0 60-0 58-0 60-0 54-0 52-0 49-0 59-0 53-0 51-0 49-0 57-0 57-0 48-0 48-0 57-0 57-0 50-0 49-0 61-0 61-0 61-0 48-0 / // 0.47-10 5.44-15 0.40-28 0. 59-34 0. 54-51 2. 18-35 0. 45-86 4. 4-66 0. 24-22 0.55-17 0. 24-73 0. 24-34 0. 58-23 0.24-10 0. 27-06 0. 45-75 0. 58-72 0.31-60 0. 46-45 0.42-39 0. 24-43 0. 37'56 0. 46-67 0. 42-45 0. 59-50 0. 24-62 0. 45-78 0. 42-70 0. 5-78 0. 56-37 0.47-16 0. 55-76 0. 24-55 0. 59-30 0. 24-54 1. 8-54 II 30-40 35-87 19-00 5-09 41-68 30-31 9-09 4-80 45-48 18-73 45-47 29-60 18-70 29-56 28-24 45-45 29-50 28-15 18-64 45-45 28-06 36-66 4-63 29-39 9-38 18-58 45-44 . / t + 0.11-85 + 0. 11-19 + 0. 12-66 + 0. 12-08 + 0.11-78 + 0. 11-45 + 0. 8-52 + 0. 10-53 + 0. 8-49 + 0. 12-00 + 0. 9-87 + 0.12-15 + 0. 12-98 + 0. 11-56 + 0. 11-80 + 0. 10-02 + 0.11-73 + 0.10-15 + 0. 11-64 + 0. 9-33 + 0.10-31 + 0. 11-38 + 0. 10-36 + 0.12-13 + 0.10-88 + 0. 11-13 + 0. 8-80 / a 57. 18-84 59.13-02 55.31-11 54. 54-47 54.28-18 54. 12-80 54. 8-07 54. 13-32 54. 27-44 / a 56. 24-36 57. 29-37 21. 49-73 28. 19-27 25. 52-86 29. 11-92 32. 59-24 37. 0-10 41. 0-86 ti + 4-78 11-18 + 3-45 + 7-12 + 9-87 + 11-80 + 13-13 + 14-06 + 14-66 O ' a \ 18. 12. 47-47 117.57. 7-83 114.21.48-88 114.37.59-71 61. 32. 51-23 61.48. 1-45 63. 30. 33-21 63. 45. 33-42 66.42.31-33 66. 57. 24-36 70. 52. 58-37 71. 7.47-20 75. 47. 26-24 76. 2. 13-80 81. 13.56-88 81.28.45-85 87. 1.16-04 1 87. 16. 8-87 ti 54-93 54-89 54-73 54-71 54-69 54-67 54-65 54-63 54-61 Moon's L. L. ... Aldebaran Moon's U. L. ... (3 Tauri Moon's U. L. . . . Pollux Procyon Pollux Moon's U. L Procyon Moon's U. L. ... Regulus (3 Leonis Pollux Moon's U. L. . . . Regulus Procyon Pollux Moon's U. L.... Moon's U. L. . . . /3 Tauri Pollux Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (326) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1820. Apr. 25 28 29 30 May 1 2 4 5 19 20 Procyon o / a 57.23-14 58. 19-88 60. 49-41 60.28-57 58. 28-72 57. 42-88 54. 53-85 57.11-65 60. 5-27 t I H 56. 0-97 56. 0-28 44. 44-24 33. 34-89 23. 1-80 22. 57-59 53. 56-52 55.23-01 51. 30-90 n 8-64 12-89 20-24 -16-66 1-96 + 3-44 + 2-11 10-53 19-20 O / II 115.45.35-93 115.29.55-11 111.56.26-77 111.40.30-45 85. 26. 22-08 85. 42. 59-24 71.57. 18-48 72. 13. 49-95 61.34. 7-99 61.50. 6-72 61.49.18-73 62. 5. 4-94 117.45. 6-06 118. 0. 6-10 113.46.58-85 113.31.21-17 97. 3.54-27 96.47.29-17 f 53-3!) 53-39 53-40 53-40 53-41 53-40 53-31 53-27 53-23 a. Ophiuchi Moon's L. L. ... a 1 Capricorni. . . . ' Capricorni. . . . Moon's L. L. ... Moon's U. L. . . . a 1 Capricorni . . . Moon's U. L. . . . Moon's U. L. ... 12. 50. 52 43 3 24 0. 52-97 ' Capricorni . . . Moon's U. L. . . . 64. 29. 47 23. 40. 25 67. 54. 38 31.21. 7 80. 2.24 43. 3.21 -0. 2.18 76. 7. 4 -0. 2.18 59. 22. 10 -40. 8. 55 1.58-32 0.25-15 2. 23-67 0. 35-13 5. 17-54 0. 54-29 0. 0-03 3.51-44 0. 0-03 1. 38-6b 0. 48-95 Moon's U. L. . . . a Aquiloe Moon's L. L. ... j Draconis .... Moon's L. L. ... Polaris . . . S. P. The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (342) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther ino- meter Refrac- tion. Seconds of Star's Tabular N.P.D. Correction for Index Error Tabular Horizontal Equatoreal Parallax. Parallax, Increase o Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. orL. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1821. Oct. 9 10 11 12 13 15 31 Nov. 4 5 6 7 8 CL \tjiiil;r o / 81. 34. 22-90 90.39. 1-00 358.22. 0-50 38. 28. 38-05 45. 20. 27-50 83. 15. 55-05 45. 20. 27-40 358.22. 3-65 38. 28. 39-50 65. 6.29-10 81.34.23-90 1.38.45-50 62. 2.10-80 358.22. 8-10 118. 6.39-50 81.34.19-95 45.20.21-50 91. 9. 9-10 91. 9. 9-25 100. 53. 47-35 69.52. 9-10 94. 10. 13-00 69.52. 9-40 91. 9. 5-50 75. 43. 43-00 87. 2.36-90 81. 34. 19-65 103. 0.40-90 45. 20. 22-65 79. 56. 15-10 51.21.23-05 45. 19. 53-40 75. 43. 16-40 72. 47. 58-05 o / 43. 3.27 52. 8. 5 -40. 8. 55 -0. 2.18 6. 49. 32 44. 44. 59 6. 49. 31 -40. 8. 52 -0. 2.16 26. 35. 33 43. 3.28 -36. 52. 10 23.31.15 -40. 8. 48 79. 35. 45 43. 3.25 6. 49. 27 52. 38. 14 52. 38. 14 62. 22. 52 31.21.14 55. 39. 18 31.21.14 52. 38. 11 37. 12. 48 48. 31. 42 43. 3.25 64. 29. 46 6. 49. 28 41.25.20 12.50.48 6. 49. 18 37. 12. 41 34. 17. 23 io. 30-11 30-10 29-97 29-90 29-87 29-80 29-54 29-75 29-75 29-75 30-10 30-10 30-05 30-07 29-85 29-88 29-88 29-88 29-48 29-53 30-00 30-12 30-20 30-20 30-20 30-20 30-08 30-08 30-08 30-08 30-05 30-05 30-05 30-05 o 49-0 46-0 53-0 53'0 50-0 47-0 49-0 51-0 52-0 42-0 49-0 44-0 40-0 48-0 53-0 52-0 51-0 51-0 40-0 40-0 41-0 40-0 41-0 38-0 38-0 37-0 42-5 42-0 41-0 44-0 44-0 41-0 40-0 38-0 / H 0. 54-73 1. 15-71 0. 48-79 0. 0-03 0. 6-94 0. 57-70 0. 6-89 0. 48-63 0. 0-03 0.29-41 0. 54-72 0. 44-38 0. 25-94 0. 49-45 5. 3-80 0. 53-98 0. 6-93 1. 15-74 1. 16-44 1. 51-49 0.36-17 1. 27-23 0. 36-41 1. 18-64 0. 45-66 1. 8-11 0. 55-41 2. 3-93 7'13 ii 39-38 24-99 58-71 56-24 56-13 23-92 59-03 39-37 22-93 22-71 39-86 55-07 49-80 49-92 12-02 12-27 49-99 55-08 40-24 9-86 55-12 30-51 55-18 55-06 / // + 0.21-75 + 0.23-30 -r- 0.20-69 + 0.21-80 + 0.21-84 + 0.21-06 + 0. 19-56 + 0.20-75 + 0.21-81 + 0. 18-64 +0. 25-93 + 0. 26-64 + 0.24-96 + 0.24-23 + 0.26-75 +0.26-46 + 0.25-85 + 0. 26-42 +0. 25-18 + 0.25-03 + 0.25-34 + 0.53-98 + 0.54-66 + 0.53-42 / * 60. 48-76 61. 15-39 I 60. 32-88 58. 49-88 55. 27-45 58. 45-96 59.41-34 60. 29-84 61. 5-12 61. 22-49 / a 47. 48-24 42. 54-51 26. 52-72 23. 15-64 54. 25-15 51.53-46 49. 5-26 45. 7-25 40. 11-67 34.21-02 * 20-30 20-20 10-45 1-79 - 4-75 17-35 18-92 -19-67 -19-31 17-32' / 89.53. 11-05 89. 36. 34-07 82. 34. 39-88 82. 17. 55-63 64.40.16-16 64.56.48-81 61.39.39-71 61. 55. 44-2-> 117.17.48-74 117. 2.39-52 100. 4.28-22 99. 48. 24-78 93.23.20-13 93. 7. 1-57 86. 19. 23-25 86. 2.51-43 79. 17. 40-09 79. 0.58-64 72.15.29-17 7-2. 32. 15-36 * 53-21 53-20 53-14 53-11 52-77 52-66 52-63 52-60 52-58 52-55 Moon's L. L . . . . Polaris.... S.P Moon's L. L. ... a Cvffni. . Polaris S. P y Draconis Moon's U. L. . . . a Aquilae Polaris Moon's U. L. . . . Polaris S. P. Moon's L. L . . . . Aquilae a Aquarii. ...... a Aquarii Moon's L. L. ... Arcturus. . . . Moon's L. L . . . . Arcturus a Aquarii Pegasi Moon's L. L. ... a Aquilae a 1 Capricorn! . . . a Cvsrni. . Moon's L. L . . . . a Lyrae 0.52-17 0. 13-48 0. 7-12 0. 45-24 0. 40-80 a. Cvarni. . a Pesjasi . Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (343) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- neter. Refrac- tion. Seconds of Slur's Tabular! N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. ncrease of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Pabular Obliquity of Ecliptic. 23. 27'. 1821. Nov. 9 12 15 16 29 30 Dec. 1 2 3 5 6 8 a, Pegasi O 1 II 75. 43. 14-50 61. 52. 1-40 67. 23. 15-10 81. 33. 55-40 91. 8.42-65 61.62. 5-45 62.51. 8-60 74.51. 2-90 81.33.58-75 103. 0. 20'95 61.52. 6-70 80. 20. 27-90 81. 33. 57-50 100.11. 4-75 108. 23. 15-00 69. 51. 54-40 102. 50. 37-80 75.43.21-35 61.52. 5-00 67.21.28-00 96. 34. 24-50 61.52. 5-00 69. 51. 52-45 81. 33. 57-45 76.22.40-30 67.21.26-45 69.01.52-60 81. 33. 55-65 75. 43. 19-00 61.52. 5-25 70.31.31-90 91. 8.43-40 61.52. 4-40 67. 21. 26'00 O 1 II 37. 12. 40 23. 21. 26 28. 52. 40 43. 3.20 62.38. 8 23.21.30 24. 20, 34 36. 20. 28 43. 3.24 64. 29. 46 23.21.32 41.49.53 43. 3.23 61. 40. 30 69. 52. 40 31.21.19 64.20. 3 37. 12. 46 23.21.30 28. 50. 53 58. 3.50 23. 21. 30 31. 21. 17 43. 3.22 37.52. 5 28.50.51 31.21.18 43. 3.21 37. 12. 44 23.21.30 32. 0.57 52.38. 8 23.21.29 28. 50. 51 in. 30-01 30-01 30-00 29-85 29-85 29-90 29-90 29-40 29-30 29-33 29-35 29-37 29-64 29-74 29-70 29-50 29-62 29-63 29-64 29-65 29-80 29-83 29-78 29-69 29-78 29-78 30-00 30-10 30-13 30-13 30-13 30-00 30-00 30-00 o 40-0 39-0 38-0 51-0 47-0 45-0 42-0 54-0 52-0 52-0 53-0 51-0 50-0 42-0 46-0 45-0 42-0 42-0 41-0 41-0 42-0 41-0 39-0 51-0 44-0 43-0 36-0 38-5 36-0 36-0 34-0 48-0 48-0 48-0 i U 0. 45-18 0. 25-76 0. 32-95 0. 54-03 1. 16-29 0. 25-35 0. 26-72 0. 41-66 0. 52-93 1. 58-37 0. 24-48 0. 50-94 0. 53-76 1. 48-57 2. 37-46 0. 35-28 2. 1-16 0. 44-42 0. 25-34 0. 32-32 1.34-17 0. 25-50 0. 36-06 0. 53-74 0.45-53 0. 32-33 0. 36-55 0. 55-91 0. 46-74 0. 26-03 0. 37-83 1.16-51 0. 25-28 0. 32-24 // 55-05 21-96 40-60 50-24 21-72 40-91 10-13 21-43 42-20 43-55 18-94 55-50 20-87 50-54 20-85 19-77 42-88 50-41 20-32 43-01 55-73 20-81 51-65 ! 20-84 50-35 / tr + 0.55-37 + 0. 54-80 + 0.51-17 + 0.51-30 + 0.50-92 + 0.49-23 + 0. 50-81 + 0.50-25 + 0.60-94 + 0.50-23 + 0.49-26 + 0.49-73 +0. 50-53 + 0. 50-22 + 0.50-35 +0.51-26 +0. 51-69 + 0.51-63 + 0.51-17 + 0.51-45 + 0.50-99 + 0.49-53 + 0.51-74 + 0.51-16 + 0.52-11 / it 61. 18-34 59. 14-70 56. 19-64 55. 33-25 56. 53-34 57. 35-75 58. 21-21 60. 24-71 ,60.46-79 / * 29. 22-76 24. 12-05 33. 10-36 36.51-10 53. 15-65 51. 44-55 49. 20-09 36.51-81 31. 59-91 // 13-42 + 4-96 + 13-84 + 14-43 -13-75 15-87 17-41 -17-56 15-06 o / // 66.55. 6-47 67.11.51-52 62. 28. 19-37 62. 44. 30-66 74.19.38-14 74. 4. 14-66 79. 45. 32-27 79.30.21-47 107. 33. 40-70 107. 18. 8-02 102. 2. 0-44 101.46.16-18 95. 47. 46-60 95.31.49-91 75. 47. 43-08 75.31.12-67 70. 1. 15-54 69.44.39-10 1 52-53 52-45 52-37 52-35 52-05 52-03 52-00 51-95 51-93 a Andromedae. . . Moon's U. L. . . . a Aquilae a Aquarii a. Andromedae. . . Moon's U. L. . . . Moon's L. L. ... <*' Capricorni . . . a Andromeda? . . Moon's L. L. ... a, Aquilae Moon's L. L. ... Arcturus Moon's L. L. ... a. Andromedae. . . Arietis Moon's L. L. ... a. Andromedas . . Arcturus a Aquilae Moon's L. L. ... a. Arietis Arcturns a Aquilas. . . . a Pegasi a. Andromedee . . Moon's L. L. ... a. Aquarii a. Andromedoe. . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (344) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Vpar, Month, and Bay. Name of Object. Circle Reading. Approx- imate Zenith Bistance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tc.bulari N. P. 0. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.B. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1821. Dec. 8 11 12 ]3 14 15 31 1822. Jan. 1 2 4 14 Moon's U. L. .. . a Pegasi a Andromedae. . . o / 62.48. 4-00 75.43.19-15 61. 52. 4 20 67.21.25-25 68. 5.31-05 72.47.51-25 75. 43. 21-40 67.21.25-10 78. 15. 9-20 69.51.56-25 84. 4.53-50 69.51.56-30 67. 21. 27-40 98.22.18-60 90. 0.29-80 69. 51. 58-55 81. 33. 57-05 85. 4.26-65 67.21.23-15 73. 49. 39-00 61.52. 2-50 78. 32. 52-15 67.31.24-50 73. 49. 40-60 72.35. 1-15 73. 49. 40-50 44. 10. 30-00 61.31.41-55 64. 15. 18-60 73. 49. 40-35 61. 31. 39-55 75. 22. 31-20 73. 49. 39-50 82.36. 7-10 Oil 24. 17. 29 37. 12. 44 23.21.29 28. 50. 50 29. 34. 56 34. 17. 16 37.12.46 28.50.50 39. 44. 34 31.21.21 45. 34. 19 31.21.21 28. 50. 52 59.51.44 51. 29. 55 31.21.24 43. 3.22 46. 33. 52 28. 50. 48 35.19. 4 23.21.34 40. 2.23 28. 50. 56 35. 19. 12 34. 4.32 35. 19. 12 5.40. 1 23. 1. 13 25. 44. 50 35. 19. 11 23. 1.11 36.52. 2 35.19.11 44. 5.38 in. 30-00 30-20 30-20 30-21 30-20 29-92 29'83 29-84 29-84 29-90 29-85 29-85 29-82 29-78 29-70 29-68 29-83 29-90 29-90 29-90 29-56 29-53 29-53 29-53 29-67 29-68 29-68 29-68 29-40 29-40 29-40 29-73 30-11 30-10 o 48-0 38-0 37-0 35-5 35-0 44-0 46-0 43-0 41-0 40-0 48-0 46-0 49-0 48-0 48-0 48-0 41-0 38-0 37-0 35-0 42-0 39-0 39-0 37-0 38-0 35-0 34-0 34-0 36-0 36-0 36-0 36-5 41-5 40-0 / // 0. 26-42 0. 45-66 0. 26-03 0. 33-31 0. 34-35 0.40-12 0. 44-35 0. 32-39 0. 49-08 0.36-13 0. 59-35 0. 35-62 0. 31-98 1. 39-75 1. 12-72 0. 35-28 0.55-12 1. 2-83 0. 32-87 0. 42-44 0. 25-22 0. 49-29 0. 32-33 0.41-75 0. 39-96 0. 42-13 0. 5-92 0. 25-33 0. 28-36 0.41-65 0. 24-98 0. 44-53 0.42-17 0. 57-79 ir 5(5-04 20-88 50-30 56-16 50-27 22-52 22-80 50-24 47-01 23-06 46-55 50-37 17-54 21-87 50-38 17-57 17-60 29-21 2-39 17-65 2-32 10-79 17-92 1-54 > n + 0.51-23 + 0.50-65 + 0. 51-74 + 0.50-41 + 0.52-78 + 0.50-14 + 0.60-88 + 0.50-86 + 0.48-66 +0.49-23 + 0. 54-38 + 0.54-35 + 0.56-10 + 0.54-15 + 0.53-55 + 0.55-22 + 0. 54-97 + 0.53-29 + 0. 55-51 + 0.55-65 + 0.57-79 + 0. 55-06 + 0.56-25 + 0. 56-65 / // 60. 38-32 58. 26-32 57.28-78 56. 33-45 55. 44-62 55. 4-28 58. 47-84 59. 15-45 59. 38-48 59. 59-09 i a 24. 43-22 28.38-01 32. 10-19 35. 57-31 39. 36-70 42. 54-71 42. 29-38 37. 54-43 33.11-81 25. 50-13 a - 4-55 + 11-76 + 13-96 + 14-89 + 15-02 + 14-72 17-74 17-11 15-34 - 7-15 O / II 62. 24. 43-42 62.41.17-55 67. 38. 30-36 67. 22. 32-28 72.17.26-07 72. 1.43-71 77.41. 6-97 77. 25. 39-73 83.27.21-80 83.1-2. 7-87 89.19.52-11 89. 4.49-22 84. 24. 12-78 84. 8. 8-83 77. 56. 58-43 77. 40. 46-94 72. 3.39-23 71.47.21-44 63.51. 0-15 63. 34. 36-74 n 51-90 51-86 51-85 51-84 51-83 51-81 51-77 51-76 51-77 51-77 Moon's L. L. ... Moon's L. L. ... a Pegasi Moon's L. L. ... Arcturus Moon's L. L. ... Arcturus Rise! . . . Moon's L. L. . . . Arcturus a Aquilap Moon's L. L. ... a, Arielis Aldebaran a Andromedas. . . Moon's L. L. ... a Arietis Aldebaran Moon's L. L. ... Aldebaran Capella 8 Tauri Moon's L. L. ... Aldebaran. ; . . . . (3 Tauri Herculis AldebaraD The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. 1'. B. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAII DISTANCE. (345) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Sur's Tabular! N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity 01 Ecliptic. 23. 27'. 1822. Jan. 14 15 ! 28 29 31 Feb. 1 3 5 6 7 S Sirius O ' 106. 25. 22-75 104. 42. 49-50 86. 34. 42-90 82. 36. 5-50 106.25. 19-20 109.29.44-15 80. 18. 51-00 86.34.47-10 73. 49. 40-95 74. 11. 3-80 73.49.41-45 82.36. 9-75 67.21.23-25 65. 7.21-95 73. 49. 39-05 44. 10. 24-25 73. 49. 38-75 63. 0.57-15 61.31.38-90 82. 36. 9-60 82.36.11-20 64. 11. 57-00 84. 17. 39-00 61.31.46-40 73. 49. 40-00 61. 31.40-05 82.36.11-10 72. 33. 38-90 61.31.39-95 82. 36. 10-25 84. 17. 40-60 78.43.11-25 81.34. 1-85 73. 49. 39-60 o ' n 67. 54. 54 66. 12. 21 48. 4. 14 44. 5. 37 67. 54. 50 70.59.15 41.48.22 48. 4. 18 35. 19. 12 35. 40. 35 35. 19. 12 44. 5.4] 28. 50. 54 26. 36. 53 35. 19. 10 5. 39. 55 35. 19. 10 24. 30. 28 23. 1. 10 44. 5.41 44. 5.42 25.41.28 45.47.10 23. 1. 17 35. 19. 11 23. 1.11 44. 5.42 34. 3.10 23. 1. 11 44. 5. 41 45.47.12 40. 12. 42 43. 3.33 35.19. 11 ID. 30-10 30-00 30-10 30-10 30-10 30-05 30-05 30-05 30-05 30-07 30-10 30-10 30-17 30-17 30-17 30-17 29-92 29-91 29-91 29-91 29-48 29-50 29-52 29-52 29-55 29-60 29-62 29-80 29-95 29-94 29-93 29-87 29-75 29-85 o 40-0 43-0 34-0 33'0 32-0 31-0 48-0 45-0 43-0 44-0 41-0 40-0 40-0 38-0 38-0 38-0 36-5 3TO 37-0 37-0 38-0 37-0 36-0 36-0 41-0 41-0 41-5 38-0 38-0 38-0 41-0 41-0 45-0 45-0 / a 2. 26-14 2.13-34 1. 7-23 0. 58-64 2. 28-63 2. 54-65 0. 52-39 1. 5-59 0.41-95 0. 42-45 0. 42-20 0. 57-79 0. 32-96 0.30-11 0. 42-56 0. 5-96 0. 42-34 0. 27-22 0. 25-36 0. 57-79 0. 56-84 0. 28-33 1. 0-63 0. 25-09 0. 41-42 0.24-89 0. 56-69 0.40-10 0. 25-34 0. 57-73 1. 0-83 0. 49-95 0. 54-53 0.41-50 // 44-40 47-30 1-6-2 44-61 48-08 18-30 18-43 2-58 51-80 18-38 25-94 18-41 1-41 2-73 2-84 37-72 8-32 18-52 1-29 2-95 1-26 2-99 37-96 52-32 18-60 / ir +0. 55-51 +0.57-17 + 0.57-48 + 0. 56-78 + 0.55-39 + 0.55-40 + 0.64-78 + 0.55-04 + 0.55-59 + 0.56-77 + 0.55-73 + 0.57-32 + 0.57-15 + 0.55-34 + 0.54-80 + 0. 58-09 + 0.56-83 +0.67-10 + 0. 56-35 + 0. 55-16 + 0. 55-97 + 0.55-01 + 0.56-53 + 0.55-94 + 0.57-50 / // 54. 21-23 54. 12-25 58. 59-47 59. 8-22 59.12-14 59. 6-08 58. 33-52 57. 33-26 56.56-35 / * 49. 34-61 51. 6-14 39. 6-74 34. 16-33 26. 18-18 24. 17-88 25.10-12 32. 0-88 36. 33-30 u + 12-83 + 11-30 -17-28 15-69 8-60 3-18 + 7-93 + 14-33 + 15-48 O 1 II 103. 56. 37-20 103.41.46-07 108. 42. 41-10 108. 27. 52-42 79.41.49-33 79. 25. 42-20 73. 38. 40-57 73.22.31-05 64. 42. 38-51 64. 26. 27-92 62. 38. 6-27 62. 21. 57-33 63.48. 3-80 64. 4. 3-90 72. 2.59-99 72.18.43-58 78. 8.39-22 77.53. 5-72 f 51-85 51-86 52-01 52-02 52-06 52-07 52-10 52-13 52-14 Moon's L. L. ... a Ceti a Orionis Sirius Moon's L. L. ... Moon's L. L. ... Aldebaran Moon's L. L. ... Aldebaran a Orionis Moon's L. L. ... Aldebaran Aldebaran Moon's L. L. ... /3 Tauri a Orionis Moon's U. L. . . . Procyon Pollux Aldebaran /3 Tauri a Orionis Moon's U. L. ... /3 Tauri a, Orionis Moon's L. L. . . . Aldebaran The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. / GREENWICH LUNAR RKDUCTIONS. (346) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N.P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L or L. L., and of Center, at Transi of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2327'. 1S22j Feb. 8 9 11 14 15 16 27 28 Mar. 1 2 3 Moon's L. L. ... O 1 II 90.55. 8-10 i 106. 25. 32-50 84. 17.41-60 61.31.47-00 96. 54. 48-00 73. 49. 40-95 107. 38. 28-50 106.25.31-45 61.31.46-60 117.52. 15-30 81.34. 1-50 67.21.24-20 118.27.23-50 81.34. 1-75 106. 25. 30-55 66. 6. 16-55 73.49.41-55 61. 31. 39-50 82. 36. 10-75 63. 26. 45-40 44. 10. 24-65 61.31.40-00 84. 17.40-40 73.49.42-15 61.31.40-10 62. 42. 48-90 82.36.11-00 73. 49. 42-70 61.31. 40-00 63. 22. 56'50 84. 17. 42-50 82.36. 12-90 84. 17. 42-20 61.31.45-35 66. 19. 3-25 o ' * 52. 24. 39 67.55. 4 45. 47. 13 23. 1.18 58. 24. 19 35. 19. 12 69. 8. 67.55. 2 23. 1.18 79.21.46 43. 3.33 28. 50. 55 79. 56. 55 43. 3.33 67.55. 2 27. 35. 48 35. 19. 13 23. 1.11 44. 5.42 24. 56. 16 5. 39. 56 23. 1.11 45.47. 11 35. 19. 13 23. 1.11 24. 12. 20 44. 542 35. 19. 14 23. l.lli 24. 52. 28 45. 47. 14 44. 5.44 45.47. 13 23. 1.16 27. 48. 34 29-83 29-75 29-75 29-75 29-75 29-97 30-04 29-97 29-97 29-95 29-97 29-98 30-20 30-20 30-23 30-55 30-56 30-58 30-58 30-40 30-40 30-40 30-35 30-13 30-13 30-13 30-13 30-20 30-20 30-20 30-20 30-15 30-13 30-13 30-13 o 43-0 48-5 48-5 48-5 47-0 42-0 40-0 39-0 39-0 41-0 48-0 50-0 37-5 40-0 43-0 43-0 42-0 41-0 40-0 38-0 36-0 36-0 33-5 42-0 41-0 40-5 41-0 47-0 45-0 42-0 42-0 45-0 44-0 44-0 44-0 / // 1. 16-25 2.21-93 0. 59-53 0. 24-64 1. 34-28 0. 41-93 2. 35-10 2. 25-84 0.25-31 o. 6-12 0. 54-59 0. 32-08 5. 28-45 0. 55-93 2. 25-87 0. 31-47 0. 42-75 0. 25-72 0. 58-72 0.28-15 0. 6-03 0. 25-83 1. 2-66 0. 42-15 0. 25-34 0. 26-83 0. 57-73 0.41-82 0.25-19 0. 27-60 1. 1-25 0. 57-29 1. 0-85 0.25-18 0. 31-26 // 49-33 38-19 8-01 18-68 50-03 7-72 53- 12 52-99 53-23 50-31 19-16 1-08 3-79 24-64 1-07 39-21 19-21 1-07 3-85 19-24 1-09 39-29 3-89 39-31 0-74 / // + 0.54-90 + 0.57-06 + 0.56-37 + 0.55-80 + 0.52-74 + 0. 55-81 + 0.57-03 +0. 56-71 + 0.55-55 + 0.53-89 f 0. 54-85 + 0.55-86 + 0.54-32 + 0.53-96 + 0.55-24 + 0.56-15 + 0.54-91 + 0.55-15 + 0.55-12 + 0. 54-72 + 0.55-90 + 0.55-54 + 0.53-70 + 0.56-26 + 0.66-21 / // 55. 40-73 55. 7-46 54. 22-42 54. 30-55 54. 54-88 59. 19-01 58. 59-41 58.36-11 58. 10-58 57.43-27 / // 43. 55-99 46. 46-70 50. 39-44 53. 26-88 53. 56 64 27. 15-53 24. 39-26 23. 48-67 24. 15-30 26. 42-85 H + 15-40 + 14-64 + 12-09 + 4-69 + 0-96 10-03 4-85 + 0-84 + 6-10 + 10-30 o / a 90. 13. 39-87 89. 58. 27-02 I 96. 10. 46-33 95. 55. 42-57 106.51.32-05 106. 36. 40-59 117. 4.54-42 116. 50. 0-76 117.39.51-65 117.54.51-97 65. 40. 37-53 65. 24. 25-06 63. 3.34-26 62.47.27-14 62.20.21-28 62. 4. 20-52 62. 59. 58-15 63. 15. 51-91 65. 53. 36-75 66. 9. 23-07 H 52-17 52-18 52-21 52-25 .V2-26 52-38 52-39 52-39 52-40 .5-2-40 Pollux Moon's L. L. ... Moon's L. L. ... Sirius Pollux Moon's L. L. ... a Aquilae a Arietis Moon's U.L. ... a Aquilae Sirius Moon's L. L. ... Aldebaran .... B Tauri Orionis Moon's L. L. ... Capella 8 Tauri Procyon ... . Aldebaran B Tauri . , . . (") Moon's L. L. ... a Orionis Aldebaran B Tauri Moon's U. L. . . . Procyon a Orionis Procyon j Pollux Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. 1'. D. of Limb nnrt of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with tbe Transit. (") Observed at the 5th wire. Correction applied for curvature of path, 4- 0''-48. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (347) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. fher- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error. 1 Tabular rlorizontal Jquatoreal Parallax. Parallax. Increase of Moou'8 N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of !L.or2L. Tabular Obliquity of ErJiptic. 3. 27'. 1822. Mar. 4 7 10 11 12 13 14 28 29 Apr. 3 5 Aldebaran O ' /' 73. 49. 42-60 84. 17. 43-90 61.31.47-20 70. 36. 57-00 82. 36. 11-90 84.17.44-30 61.31.47-10 88. 19. 3-30 106.25.38-00 105.34. 8-40 81.34. 5-50 82. 36. 12-40 106.25.32-85 110. 16.33-65 81.34. 2-65 73. 49. 41-05 114. 8.29-65 81.34. 5-00 73. 49. 42-65 44. 10. 23-60 116.58.23-00 118.35.20-70 81. 34. 4-50 62. 52. 13-30 62.57.17-80 84. 17. 44-50 61.31.46-00 106.25.35-10 61. 31. 45-45 77. 8.28-85 85. 42. 34-05 74. 24. 38-00 98. 4.44-75 O t ft 35. 19. 14 45. 47. 15 23. 1. 18 32. 6.28 44. 5.43 45. 47. 15 23. 1. 18 49. 48. 34 67.55. 9 67. 3.39 43. 3.37 44. 5.43 67.55. 4 71.46. 5 43. 3.34 35. 19. 12 75. 38. 1 43. 3.36 35. 19. 14 5. 39. 55 78. 27. 54 80. 4.52 43. 3.36 24.21.44 24. 26. 49 45. 47. 16 23. 1.17 67.55. 6 23. 1.16 38.38. 47. 12. 5 35.54. 9 59. 34. 16 29-89 29-86 29-86 29-85 29-36 29-41 29-41 29-50 29-48 29-53 29-70 29-95 30-00 30-15 30-23 30-25 30-13 30-13 29-91 29-91 29-80 30-05 30-09 29-86 30-26 30-20 30-25 30-17 30-16 30-14 30-14 29-85 29-85 48-0 46-0 46-0 46-0 40-0 39-0 39-0 37-0 46-0 41-0 41-0 42-0 41-0 33-0 36'0 44-0 36-0 38-0 47-0 47'( 46'0 39-0 39-0 64-0 51-0 50-0 50-0 48-0 46-0 44-0 43-0 45-0 43-0 / // 0. 41-30 1. 0-06 0. 24-86 0. 36-69 0. 66-37 1. 0-02 0. 24-84 1. 9-60! 2.21-38 2. 17-25 0. 54-89 0. 57-27 2. 25-37 3. 2-36 0. 56-45 0. 42-14 3. 51-36 0. 56-04 0. 41-42 0. 5-80 4. 38-56 5. 29-90 0. 55-84 0. 25-54 0. 26-67 1. 0-37 0. 24-97 2. 24-08 0. 25-10 0.47-36 1. 4-08 0. 42-40 I. 39-85 II 19-30 39-36 6-67 3-97 39-45 6-50 5251 54-93 4-03 52-56 54- 9b 19-53 54-98 19-56 24-86 55-01 39-72 5-47 53-10 5-31 9-52 13-97 / // + 0.55-40 + 0. 55-39 + 0.54-61 + 0.55-70 + 0.55-13 + 0. 54-56 | + 0.53-13 + 0.54-54 + 0.54-36 + 0.54-34 + 0.55-86 + 0. 56-34 + 0. 53-94 + 0.55-49 + 0. 55-46 + 0.54-67 + 0. 54-85 + 0.54-50 + 0.53-92 + 0.54-76 + 0.53-31 + 0.53-57 / // 57. 14-57 55. 44-32 54. 30-30 54. 16-24 54. 10-14 54. 13-70 54. 27-77 59. 16-29 58. 36-21 55. 36-26 54.47-53 / if 30. 12-77 42. 23-28 50. 2-35 51.24-17 52. 20-51 53. 0-40 63.31-59 24. 13-84 24. 2-14 40. 36-20 47. 4-40 g + 13-15 + 15-45 + 12-80 + il-06 + 8-80 + 5-95 + 2-52 0-96 + 4-68 + 15-15 1 + 14-24 1 Oil 70. 8. 2-90 70. 23. 41-37 87.39. 0-20 87. 23. 46-37 104.47.30-11 104. 32. 36-51 109.29.17-75 109. 14. 27'98 113.21. 4-66 113. 6. 16-46 116. 11. 2-3-2 115.56.13-25 117.48.16-74 117. 33. 23-82 62. 29. 20-63 62. 13. 8-90 62. 34. 32-33 62.50.33-11 85. 3. 40-78 85. 18.52-42 97. 19. 59-24 97. 5. 0-92 // 52-41 52-43 52-44 52-43 52-43 52-43 52-43 52-34 52-33 52-26 52-22 Procyon Pollux Moon's U. L. . . . a. Orionis Procyon Pollux Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... Aldebaran Moon's L. L. ... a Aquilfe Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... Moon's U . L. . . . Procyon Pollux Sirius Pollux Moon's U. L. . . . (.' Leonis Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 2(Y)2 (348) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. ; 23. 27'. 1822. Apr. 5 8 9 10 28 30 May 1 2 4 5 O / '1 100.11.22-20 74.24.35-40 112.41.37-55 115. 56. 32-35 106.25.35-15 100. 11. 17-90 69.52. 2-25 115.54. 16-80 97.51. 11-40 77. 8.27-00 117.57.46-15 77.16.48-50 72. 48. 23-50 97.51.12-10 62. 39. 50-00 115.56.40-30 61.31.45-15 97.51. 11-60 77. 8.27-00 84. 2. 8-60 84. 17.44-50 61.31.46-50 89.58. 7'75 84. 17. 45-00 97. 51. 13-20 74.24.35-10 95. 48. 43-50 106.56.35-85 69.51.59-90 105.14.59-90 62. 39. 48-65 61. 31. 45-75 111.20. 24-90 82. 58. 57-75 77.16.46-85 Q t tl 61.40.53 35.54. 6 74.11. 9 77.26. 3 67.55. 6 61. 40.49 31.21. 33 77. 23. 48 59. 20. 42 38. 37. 58 '79. 27. 17 38. 46. 20 34. 17. 55 59. 20. 43 24. 9.21 77.26.11 23. 1.16 59. 20. 43 38. 37. 58 45. 31. 40 45. 47. 16 23. 1.18 51.27.39 45.47.16 59. 20. 44 35.54. 6 57. 18. 15 68.26. 7 31.21.31 66. 44. 31 24. 9.20 23. 1.17 72. 49. 56 44. 28. 29 38. 46. 18 in. 29-85 29-95 29-95 29-92 29-94 29-95 i 29-95 29-95 29-92 29-5)2 29-UO 29-90 30-14 30-14 30-15 30-15 30-18 30-18 30-18 30-18 30-18 30-18 30-16 30-00 29-98 29-98 29-98 29-56 29-56 29-57 29-57 29-60 29-60 29-60 29-60 o 42-0 34-0 32-0 30'0 ' a 1.49-00 0. 43-53 3. 30-39 4. 26-09 2. 24-48 1. 51-44 0. 36-81 4. 23-84 1.40-03 0. 47-60 5. 13-58 0. 48-31 0. 39-53 1.37-49 0. 26-54 4. 1U-69 0. 24 32 1.37-62 0. 46-37 0. 59-55 0. 59-35 0. 24-56 1.13-41 0. 58-77 1.37-17 0.42-41 1.31-06 2. 23-96 0. 34-92 2. 12-57 0. 25-76 0. 23-66 3. 2-04 0. 56-07 0. 45-79 // 4-18 13-73 52-12 53-00 4*43 / tt + 0.52-98 + 0.54-80 + 0.53-68 + 0.53-37 + 0. 55-09 + 0.54-10 + 0.52-65 + 0.54-60 + 0. 53-51 + 0.54-57 + 0.53-18 + 0.53-33 + 0.53-82 + 0.64-91 + 0.54-82 + 0.55-31 + 0.53-93 + 0.55-30 + 0.53-71 + 0.54-12 + 0.54-74 + 0.52-17 + 0. 54-04 + 0.54-16 + 0.52-60 + 0.54-35 t a 54. 6-35 54. 4-15 54. 9-59 57. 13-27 55. 47-05 55. 13-71 54. 47-02 54.11-86 54. 2-88 * n 51. 55-27 52. 38-28 53. 7-32 32. 1-95 39. 36-50 43. 0-56 45. 55-45 50. 15-13 51.29-94 // + 9-64 + 6-99 + 3-79 + 13-73 + 14-99 + 14-79 + 14-24 + 12-04 + 10-23 o / // 111. 54. 16-26 111.39.29-19 115. 7. 3-54 114.52.17-08 117. 10.49-79 116.56. 1-84 72.17.41-04 7-2.33.19-16 83.24.11-18 83. 39. 25 75 89. 17. 0-46 89. 32. 5-92 95. 4. 59-27 95 19. 57-45 106. 9.26-29 105. 54. 37-72 1 10. 32. 40-47 110.17.54-33 /* 52-17 52-15 52-14 51-72 51-67 51-66 51-62 51-58 51-55 Moon's L. L. ... Sirins 43-0 33-0 32-0 33-0 39-0 38-0 33-0 33-0 55-0 55-0 45-0 45-0 62-0 55-0 55-0 51-0 57-0 57-0 50-0 59-0 64-0 47-0 47-0 51-0 51-0 51-0 50-0 66-0 55-0 53-0 54-0 33- If 44-08 9-20 30-32 44-16 9-72 53-32 329 44-13 8-19 39-16 4-99 39-13 44-08 11-63 29-54 4-40 8-45 3-57 4(5-42 26-99 Moon's L. L. ... a Hydrae Regulus Moon's L. L. . . . a Ophiuchi Moon's U. L. ... a Hydra; a Coronas Borealis Tauri a Hydras Regulus Moon's U. L. ... Procyon Pollux Moon's U. L. . . . Procvon a, Hydrae /3 Leonis Moon's U. L. . . . Moon's L. L. . . . a. Librae () aCoronae Borealis ft Tauri Moon's L. L. . . . a, Serpentis Opbiuchi The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (') Observed at the 5th wire. Correction applied for curvature of path, 0"'24. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (349) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's TabulaH N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon'g N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. : 1822. .May 10 28 29 30 31 June 1 2 3 4 5 O 1 It 97.51.13-65 77. 8.29-40 62.39.47-15 116. 12.58-00 77. 8.25-60 88. 15. 57-00 105. 12. 16-10 82. 58. 52-55 82.36. 12-10 61. 31. 47-30 77. 8.26-25 94. 10. 9'60 84. 17. 43-60 99.48. 31-05 100. 11.24-40 105. 12. 15-55 105. 0.46-15 106. 25. 36-60 100. 11.26-20 69.51.56-90 109. 35. 48-45 61.31.4615 100. 11.25-25 113.51.28-00 62. 39. 43-00 106.25.35-10 77. 8.26-50 105. 14. 59-30 116.36.2380 106.25.38-10 100. 11.25-90 105. 14. 58-65 118. 9. 6-55 84. 17. 49-70 77. 8.29-00 82. 58. 52-60 o / a 59. 20. 45 38.38. 24. 9.18 77. 42. 29 38. 37. 57 49. 45. 28 66.41.47 44. 28. 24 44. 5.43 23. 1. 18 38. 37. 57 55. 39. 41 45. 47. 15 61.18. 2 61.40.55 66. 41. 47 6. 30. 17 67.55. 8 61. 40. 57 31 21 28 29-23 29-24 29-30 29-33 30-10 30-10 30-12 30-12 30-15 30-15 30-15 30-15 30-17 30-15 30-15 30-15 30-17 30-10 30-10 30-10 30-10 30-16 30-12 30-12 30-12 30-15 30-15 30-13 30-13 30-10 30-08 30-09 30-07 30-05 30-05 30-08 o 50-0 49-0 42-0 45-0 65-0 62-0 57-0 56-0 70-0 70-0 68-0 62-0 70-0 62-0 61-0 58-0 64-0 75-5 67-0 64-0 63-5 72-0 (51-0 58-0 58-0 74-0 71-0 58-0 57-0 79-0 66-0 62-0 59'0 77-0 77-0 62-0 / // 1.35-52 0. 45-48 0. 25-95 4.18-12 0. 45-33 1. 7-35 2. 13-10 0.56-71 0. 54-48 0. 23-91 0.45-13 1.23-49 0. 57-82 1. 44-04 1.45-89 2. 12-96 2. 10-26 2. 16-00 1.44-46 0. 34-64 2. 44-44 0. 23-83 1. 45-79 3. 36-54 0. 25-82 2. 16-62 0. 44-87 2. 13-17 4. 26-93 2. 15-07 1. 44-60 2. 11-92 5. 3-56 0. 56-81 0. 44-20 0. 55-95 n 43-86 7-67 7-15 6-82 22-96 43-48 1 91 5-64 6-78 37-90 4-95 22-95 47-52 4-89 25-21 5-80 4-86 2-06 47-18 6-58 4-64 47-01 4-81 4-63 37-54 6-50 42-42 / i + 0.54-69 + 0.52-79 + 0.54-05 + 0.55-89 + 0.53-76 + 0.54-22 + 0.55-33 + 0.54-43 + 0.55-40 + 0.56-48 + 0.54-66 + 0.54-44 + 0. 54-92 + 0. 54-23 + 0.53-67 + 0.55-82 + 0.53-82 + 0.53-24 + 0.55-46 + 0. 55-21 + 0.52-17 + 0. 53-84 + 0.54-31 + 0.54-06 + 0.51-03 + 0.53-30 + 0.53-87 ' g 54.48-18 55. 45-59 55. 7-65 54. 38-46 54. 17-89 54. 5-18 53. 59-61 54. 0-45 54. 7-25 f II 53. 24-75 42. 22-12 45. 20-19 47. 45-40 49. 38-18 51. 1-05 52. 6-23 52.43-17 53. 6-95 tt 6-09 + 15-09 + 14-49 + 13-59 + 12-37 + 10-73 + 8-53 + 5-72 + 2-35 O t II 115.24.39-12 115.39.37-61 87.35.21-76 87. 50. 35-93 93. 26. 53-46 93.41.57-27 99. 3.11-29 99. 18. 7-13 104.14. 0-42 104. 28. 50-64 108. 48. 15-38 109. 3. 2-13 113. 3.44-07 112.48.58-84 115.48.56-12 115.34. 10-67 117.21.54-88 117. 7. 7-57 // 51-42 51-01 50-98 50-96 50-95 50-93 50-91 50-89 50-87 Kegulus aCoronse Borealis Moon's TJ. L. . . . Regulus Moon's U. L. ... 8 Librae Serpentis a. Orionis Pollux .Regulus Moon's U. L. ... Procyon Moon's U. L. . . . Spica 8 Librae Moon's U. L. . . . Spica Arcturus Moon's U. L. ... Pollux 71. 5.19 23. 1.17 61.40.56 75. 20. 59 24. 9.14 67.55. 6 38. 37. 58 66. 44. 30 78. 5. 55 67.55. 9 61. 40. 57 (56 44 30 Moon's L. L. ... a, Coronas Borealis Regulus a Libra Moon's L. L. ... Sirius Moon's L. L. ... 79. 38. 38 45.47.21 38. 38. 44. 28. 24 Regulus The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (350) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. D. ; Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. '23.'27'. 1822. June 5 8 9 11 12 18 14 23 24 25 26 27 Moon's L. L. Procvon . , O I II 118.21.55-35 84. 17. 44-40 77. 8.28-00 62. 39. 41-60 110.30. 16-50 100.11.27-50 105. 15. 0-10 82. 58. 53-00 105. 47. 33-50 77. 9. 18-15 94. 10. 35-60 105. 15.46-65 81. 34. 43-80 84. 0.48-60 87. 42. 42-30 81. 10. 19-40 67. 22. 21-15 79. 47- 59-90 81. 34. 48-25 80. 1. 58-00 105. 15. 50-75 77. 9.19-25 86. 8. 30-65 69. 52. 45-00 92. 13. 33-65 67.22.21-15 98. 3.40-65 51.22.25-55 103.28. 7-15 69. 52. 44-60 81.34.42-85 Of" 79. 51. 26 45. 47. 15 38. 37. 59 24. 9. 13 71.59.48 61. 40. 59 66. 44. 31 44. 28. 24 67.17. 5 38. 37. 58 55. 39. 16 66. 44. 27 43. 3.24 45. 29. 29 49. 11.22 42. 38. 59 28.51. 1 41. 16.40 43. 3.28 41.30.38 66. 44. 31 38. 37. 59 47. 37. 1 1 31. 21. 25 53.42. 14 28.51. 1 59. 32. 21 12.51. 6 64. 56. 47 31.21.25 43. 3.23 30-08 29-94 29-90 29-88 29-83 29-85 29-85 29-85 29-85 30-02 30-05 30-13 30-11 30-11 30-11 29-90 29-88 29-56 29-56 29-90 29-90 29-94 29-94 29-97 30-00 29-98 29-90 29-91 30-10 30-10 30-07 o 58-0 73-5 76-0 61-0 57-0 69-5 66-0 65-0 58-0 73-0 56-0 56-0 48-0 48-0 56-0 61-0 65-0 60-0 60-0 73-0 63-0 74-0 75-0 68-5 76-0 67-0 76-0 62-0 68-0 66-0 55-0 / // 5. 10-42 0. 56-98 0. 44-06 0. 25-46 2. 53-88 1. 43-08 2. 9-82 0. 55-19 2. 15-41 0. 44-07 1.24-21 2. 13-71 0. 54-84 0. 59-70 1. 6-83 0. 52-30 0. 31-03 0. 49-37 0. 52-55 0. 49-07 2. 10-82 0. 44-29 1. 0-57 0.34-18 1. 15-19 0. 31-01 1.33-46 0. 12-94 2. 0-01 0. 34-50 0. 53-99 // 37-37 6-39 0-78 4-67 4-59 41-89 6-29 4-54 43-90 54-45 55-72 52-34 43-48 4-34 5-91 22-26 54-22 40-56 " * 21-93 40-73 ' i + 0.55-99 + 0. 54-33 + 0.53-72 + 0.54-09 + 0. 54-67 + 0.53-70 + 0. 4-07 + 0. 4-18 + 0. 5-26 + 0. 6-15 + 0. 3-54 + 0. 3-07 + 0. 2-68 + 0. 2-77 + 0. 2-37 + 0. 3-08 + 0. 2-06 + 0. 2-07 + 0. 2-83 + 0. 3-89 l a 54. 19-44 55. 29-07 56. 3-83 57. 29-82 58. 18-94 59. 8-87 57. 36-98 56.41-64 55. 52-36 55. 11-51 54. 40-34 / // 53.21-11 52. 37-03 51.33-10 47. 16-89 43. 56-06 39. 51-58 37. 58-57 41. 40-74 44. 50-54 47.23-81 49. 21-82 // 1-38 -11-33 13-60 16-51 -17-28 -17-35 + 15-93 + 15-79 + 15-15 + 14-19 + 12-94 O I " 117.34.36-01 117. 19.45-37 109. 41. 16-70 109.56.26-36 104. 58. 56-36 105. 14. 15-52 93. 24. 30-91 93. 40. 13-55 86. 59. 40-99 87. 15. 37-06 80.31. 5-87 80. 47. 15-56 79. 24. 35-31 79. 40. 19-91 85. 27. 37-42 85.43. 6-91 91. 29. 45-55 91.45. 1-57 97. 17. 38-43 97. 32. 43-29 102. 40. 35-33 102.55.31-68 * 50-85 50-80 50-80 ,-)()-77 50-76 50-75 50-67 50-67 60-66 50-65 50-66 a Coronae Borealis Moon's U. L. ... Spica a Librae & Serpentis Moon's U. L. . . . Regains Moon's U. L. ... a. Librae a Aquilae /3 Aquilae Moon's U. L Moon's TJ. L. ... a Arietis y Aquilae a. Aquilae Moon's U. L. . . . a, Librae. . . . Regulus Moon's U. L. . . . Arcturus Moon's U. L. . . . Moon's U. L. . . . a. Lyrae Moon's U. L Arcturus The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (351; Year, ' Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D- during the Paasage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity Ecliptic. 23. 27'. 1822. Tune 29 30 (July 1 i 3 6 I ' 10 11 12 13 28 Aug. 2 8 O / II 81.34.43-15 67.22.18-15 115.24.53-50 77. 17. 26-15 105.15.48-55 82. 59. 39-20 75. 23. 18-50 117.44. 6-40 62. 40. 27-00 82. 59. 40-50 81.34.40-45 101. 53. 50-75 82. 59. 40-50 76. 57. 14-20 67. 22. 18-05 77. 9.16-35 67 22. 18-25 71. 18.44-40 73.50.32-15 44. 11.29-60 77. 17. 25-95 66. 43. 17-50 73. 50. 33-40 44. 11. 30-50 116.51.32-00 115.57.46-60 77 17.23-50 75.23.15-40 82. 59. 37-35 115.57.41-30 109. 25. 35-45 73. 50. 29-75 75. 23. 12-50 77. 17. 20-90 72. 54. 30-40 o / // 43. 3.23 28. 50. 58 76. 53. 34 38.46. 6 66. 44. 29 44. 28. 19 36. 51.59 79. 12. 46 24. 9. 7 44. 28. 21 43. 3.20 63. 22. 31 44.28.21 38. 25. 54 28. 50. 58 38. 37. 56 28. 50. 58 32. 47. 24 35. 19. 12 5. 40. 10 38.46. 6 28. 11.58 35.19.13 5. 40. 11 78. 20. 12 77. 26. 27 39.46. 4 36. 51. 55 44. 28. 17 77. 26. 21 70.54.15 35. 19. 10 36.51.53 38.46. 1 34. 23. 10 in. 30-02 29-95 29-84 30-00 29-90 29-92 29-93 29-93 29-92 29-92 29-96 30-05 29-80 29-35 29-35 29-37 29-75 29-75 29-78 29-78 29-86 29-97 29 '97 29-97 29-43 29-43 29-44 29-44 29-81 29-81 29-87 29-94 29-77 29-76 29-70 o 54-0 59-0 59-0 58-0 65-0 63-0 59-0 58-0 58-0 58-0 53-0 55-0 66-0 58-0 58-0 65-0 56-0 56-0 59-0 61-0 56-0 59-0 61-0 62-0 60-0 60-0 60-0 60-0 55-0 55-0 50-0 54-0 64-0 62-0 52-0 / U 0. 54-01 0. 31-47 3. 59-37 0. 46-03 2. 10-30 0. 55-54 0. 42-80 4.51-15 0. 25-65 0. 56-10 0.54-01 1. 54-77 0. 54-99 0. 44-50 0. 30-90 0. 44-23 0.31-45 0. 36-78 0. 40-24 0. 5-62 0. 46-01 0. 30'66 0. 40-34 0. 5-64 4. 24-26 4. 574, 0. 46-02 0.42-01 0. 56-23 4. 11-48 2. 4(5-03 0. 40-87 0.42-14 0. 45-30 0. 39-32 ft 40-31 53-66 16-27 4-09 38-99 4-58 55-66 38-67 38-88 38-25 51-77 5-59 51-61 16-46 38-25 14-21 16-37 38-31 56"28 11-57 0-64 36-38 56-27 14-40 59-36 10-64 / // + 0. 3-15 + 0. 4-04 + 0. 4-09 + 0. 5-24 + 0. 4-25 + 0. 3-28 + 0. 3-01 + 0. 2-07 + 0. 4-42 + 0. 2-76 + 0. 2-82 + 0. 5'01 + 0. 1-91 + 0. 4-07 + 0. 3-03 4-0. 2-25 + 0. 2-63 + 0. 2-17 + 0. 3-94 + 0. 1-45 + 0. 3-23 + 0. 2-30 + 0. 3-49 + 0. 3-78 + 0. 4-72 + 0. 4-44 / 54. 4-66 54. 38-65 56. 25-70 58.50-72 59. 25-89 59. 55-52 54. 12-76 56. 1-40 58. 51-21 / H 52. 32-04 53.33-17 50. 16-31 36. 21-66 31. 57-91 28. 5-66 52. 57-71 52. 47-38 33. 1-22 + 6-65 4-01 -14-88 16-16 14-36 11-04 + 4-67 12-60 -14-77 o / // 114.36. 17-94 114.51. 4-54 116. 55. 32-65 116.40.36-76 101. 5. 17-50 101.20.42-63 76.21.24-41 76.37.29-15 70. 47. 12-40 71. 3.26-72 66. 15. 33-81 66. 31. 56-25 116. 2.56-75 116.17.45-57 108.35.50-06 108.20.31-57 72.21.58-32 72. 38. 3-20 50-65 50-66 50-66 50-69 50-69 50-69 50-82 50-89 50-96 Moon's U. L. . . . Ophiuchi a. Herculis Moon's L. L. ... aCoronaeBorealis a. Serpentis Moon's U. L. . . . a. Serpentis Moon's U. L. . . . a. Arietis Regulus a Arietis Moon's U. L Aldebaran Capella at Ophiuchi Moon's U. L Aldebaran Capella Moon's U. L. . . . a. Ophiuchi a. Serpentis Moon's L. L. ... Aldebaran a Herculis a Ophiuchi Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (352) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter Ther- inc- meter Refrac- tion. Seconds of Star's Tabula A N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase o: Moon's N.P.D. during the 1 Passage ol Semi- diamcter. Geocentric N.P.D. of U.L or L. L., and of Center, at Transi of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1822. Aug. 8 1 26 31 Sep. 1 3 6 8 9 26 27 | 29 o / 73. 50. 29-10 62. 40. 24-75 75. 23. 14-40 77.17.20-35 63.18. 13-15 82. 59. 36-20 117. 59. 29-85 81. 34. 33-25 103. 3. 9-00 77. 17. 17-60 103. 3. 5-65 100.49.31-20 84. 18.28-10 77. 17. 18-25 103. 3. 7-60 94. 0.34-70 84. 18. 29-55 81.34.31-00 103. 3. 7-00 80.51. 3-15 84. 18. 29-50 81.34.33-75 65. 26. 49-75 84. 18. 28-75 61. 32. 44-00 03. 3. 9-30 64. 55. 50-65 84. 18. 29-95 61. 32. 43-20 75. 43. 49-40 103. 29. 23-00 91. 9. 9-00 69. 52. 46-55 90. 57. 48-60 o / > 35. 19. 9 24. 9. 5 36.51.54 38.46. 24. 46. 53 44. 28. 16 79. 28. 10 43. 3. 13 64.31.49 38. 45. 58 64.31.46 62.18.11 45.47. 8 38. 45. 58 64.31.48 55. 29. 15 45. 47. 10 43. 3.11 64.31.47 42.19.43 45. 47. 10 43." 3.14 26. 55. 30 45.47. 9 23. 1. 24 64.31.49 26.24.31 45. 47. 10 23. 1.23 37. 12. 29 64.58. 3 52. 37. 49 31.21.27 52. 26. 29 ID. 29-68 29-75 29-75 29-15 29-77 29-60 29-65 29-65 29-65 29-87 29-93 29-94 30-04 30-04 30-04 30-04 30-03 29-89 29-89 29-91 29-98 29-79 29-90 29-97 29-97 29-75 30-02 30-02 30-02 29-90 30-15 30-15 29-90 29-83 59-C 68-C 63-( 63-C 61-C 63-0 59-0 55-0 55-0 61-0 57-0 54-0 55-0 61-0 55-0 54-0 54-0 58-0 58-0 54-0 57-0 59-0 50-0 54-5 64-5 59-0 51-0 51-0 51'0 48-0 49-0 49-0 58-0 47-D / * 0.40-12 0. 25-00 0. 42-20 0.45-19 0.26-11 0. 54-94 4. 54-55 0. 53-24 1.59-11 0. 45-56 1. 59-74 1. 49-46 0. 59-32 0. 45-82 2. 0-68 1. 24-00 0. 59-42 0. 53 34 1. 59-34 0. 52-45 0. 58-96 0. 53-06 0.29-50 0. 59-24 0. 24-52 1.58-54 0. 28-90 0. 59-77 0. 24-73 0. 44-27 2. 5-04 1. 16-72 0. 34-82 1. 15-70 II 13-82 52-26 59-08 10-35 35-40 30-60 13-44 8-81 13-39 32-54 8-77 13-38 32-52 29-79 13-37 32-50 29-50 32-47 11-87 13-35 32-50 12-12 36-26 30-00 23-98 / /r + 0. 4-60 + 0. 2-51 + 0. 2-48 + 0. 4-81 + 0. 4-26 + 0. 4-11 + 0. 5-33 + 0. 5-65 + 0. 8-00 + 0. 5-12 + 0. 4-70 + 0. 5-10 + 0. 3-55 + 0. 5-45 + 0. 7-03 + 0. 4-04 + 0. 2-69 + 0. 4-48 + 0. 3-35 + 0. 5-51 + 0. 2-78 + 0. 4-19 + 0. 2-59 + 0. 4-28 ; + 0. 2-61 / H 59. 33-98 54.30-10 57. 16-66 57. 53 26 58. 49-52 59. 18-88 58. 54-42 57. 0-50 58. 36-01 / // 24. 44-84 53. 27-28 50. 32-42 47. 30-42 39. 23-94 26. 38-32 25. 58-93 51. 29-15 46. 15-42' n 2-08 1-09 -15-94 17-08 17-11 9-03 + 7-27 15-03 17-69 / II 62. 53. 55-61 62. 37. 39-05 117.11. 278 117.25.56-33 100. 1.10-44 99. 45. 31-39 93. 14. 15-65 93.30. 4-68 80. 12. 20-06 80. 28. 24-50 65. 0.35-41 65. 16. 47-85 64. 30. 32-05 64. 14. 26-30 102.40. 17-08 102.24.42-44 90.13. 9-73 89.67. 9-00 '1 50-99 51-15 51-20 51-20 51-20 51-23 01-22 51-16 51-13 at Coronae Borealis Moon's L. L . . . . Moon's U. L. . . . a* Capricorni . . . <** Capricorn!. . . . Moon's L. L . . . . Procyon a Ophiuchi 3 Capricorni . . . Moon's U. L. . . . Procyon a. Aquilse a 2 Capricorni. . . . Moon's U. L. . . . Procyon Moon's U. L. . . . Procyon Pollux 9 Capricorni . . . Moon's L. L. ... Procyon Pollux a Pegasi . Moon's L. L . . . . Aquarii Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center WHS passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which WHS observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAK DISTANCE. (353) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Equntoreal Parallax. Parallax. Increase of Moon' N.P.D. during the Passage of Senii- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, atTransit of 1 L. or2L. Tabular Obliquity of Elliptic. 23. 27'. 1 1822. Sep. 29 30 Oct. 3 4 5 8 9 10 22 23 25 27 a Andromedas . . O / /' 61.52. 36-45 51.22. 6-75 81. 34. 30-80 91. 9.10-80 83.43.11-65 79. 47. 55-20 75. 43. 50-75 66. 48. 59-00 63.51.42-40 79. 47. 44-25 81. 34. 32-70 84. 0. 39-80 62. 52. 27-80 81.34.32-50 84. 0.38-90 75. 43. 49-25 71.29.40-40 75. 43. 49-50 76. 42. 47-00 77. 9.21-65 69.52.47-70 77. 9.23-30 103. 3. 9-85 110.29.51-00 67.21.58-65 103. 3. 8-25 100. 16..56-15 20.27. 5-65 77. 9.23-50 84. 0.36-45 91. 9. 9-50 20. 26. 59-50 87.35. 0-90 o / // 23. 21. 16 12. 50. 47 43. 3. 11 52.37.51 45.11.52 41. 16.35 37.12.31 28. 17. 39 25. 20. 22 41. 16. 24 43. 3. 13 45. 29. 20 24.21. 8 43. 3. 13 45. 29. 19 37.12.29 32. 58. 20 37. 12. 30 38.11.27 38.38. 2 31.21.28 38.38. 3 64. 31. 50 71. 58. 31 28. 50. 39 64. 31. 48 61. 45. 36 81.55.46 38.38. 4 45.29. 16 52. 37. 50 81.55.40 49. 3.41 in. 29-Sfl 29-70 29-70 29-70 29-70 29-66 29-66 29-68 29-63 29-42 29-42 29-42 29-40 29-62 29-62 29-67 29-65 29-60 29-75 29-75 29-83 29-63 29-44 29-44 29-38 29-55 29-55 29-55 29-47 29-53 29-54 29-54 29-56 o 47-0 54-0 54-0 50-0 47-0 60-0 58-0 58-0 56-0 58-0 58-0 58-0 47-0 53-0 53-0 51-0 55-0 51-0 50-0 50-0 57-0 45-0 52-0 52-0 54-0 51-0 50-0 49-0 50-0 48-0 44-0 44-0 43-0 / // 0. 25-18 0. 13-06 0. 53-43 1. 15-42 0.58-41 0. 49-54 0. 43-03 0. 30-54 0. 26-93 0. 49-33 0. 52-50 0.57-15 0. 26-01 0. 53-40 0.58-12 0. 43-66 0. 36-98 0. 43-56 0. 45-45 0.46-18 0. 34-81 0. 46-46 1. 59-00 2. 53-17 0.31-18 1.59-68 1.46-48 6. 25-08 0. 45-74 0. 58-54 1. 15-95 6. 29-09 1. 7-08 // 6-01 22-31 28-15 29-96 36-37 35-54 36-33 28-03 39-90 28-00 39-88 35-08 35-01 10-61 25-86 12-57 14-17 35-17 14-23 35-15 13-05 40-18 30-05 35-40 / // + 0. 4-38 + 0. 2-50 + 0. 3-92 + 0. 3-74 + 0. 1-63 + 0. 1-76 + 0. 2-75 + 0. 2-83 + 0. 2-95 + 0. 2-10 + 0. 2-86 + 0. 2-17 + 0. 1-95 + 0. 2-78 + 0. 3-35 + 0. 2-81 + 0. 5-32 + 0. 5-34 + 0. 6-30 + 0. 4-42 + 0. 3-81 + 0. 5-19 + 0. 4-60 + 0. 6-81 f II 59. 15-51 60. 2-78 59. 52-64 59. 32-91 58. 4-79 57. 32-71 55. 23-79 57. 1-76 58. 55-13 / a 41. 50-09 28. 14-30 25. 24-22 24. 20-01 31. 23-67 35. 22-18 52. 31-87 50. 3-99 44. 18-29 n -17-84 10-95 - 5-71 + 0-22 + 13-22 + 14-92 11-28 15-46 17-69 o / 83. 2.23-36 83. 18.34-87 66.21. 5-99 66. 37. 30-42 63. 26. 42-24 63.43. 3-89 62. 28. 36-86 62.44.53-12 70.59. 9-31 70.43.17-13 76. 8.27-88 75. 52. 44-45 109. 40. 28-07 109. 25. 19-85 99. 28. 58-94 99. 13. 23-96 86. 52. 12-91 86.36. 6-96 // 51-12 51-07 51-06 51-05 51-00 50-98 50-69 50-64 50-59 a Aquilas a Aquarii Moon's U. L. . (' y Aquilas a. Pegasi Moon's U. L. . . . Moon's U. L. . . . y Aquilse a. Aquilas ft Aquilse Moon's U. L. . . . a Aquila? 8 Aquilae. . . . a. Pegasi Moou's L. L . . . . a Pegasi Moon's L. L. ... Regulus Arcturus a 2 Capricorni . . . Moon's L. L. ... a? Capricorni. . . . Moon's L. L. ... Fomalhaut /3 Aquilae a Aquarii Fomalhaut Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (") The correction for increase of N. P. D. during passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. GREENWICH LUNAR REDUCTIONS. 2(Z) (354) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular] N.P.D. : Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1822. Oct. 28 2 30 31 Nov. 1 2 3 5 6 7 21 o / u 51.22. 6-85 103. 3. 9-30 61.52.31-30 80. 59. 13-40 / / 12. 50. 47 64. 31. 49 23.21.11 42. 27. 53 6.49. 9 35.41.15 28. 50. 39 23.21.13 28. 50. 38 30. 22. 40 38.38. 4 31.21.33 41. 16. 23 43. 3.11 6. 49. 10 26. 33. 34 24. 42. 30 52. 37. 52 37. 12. 27 29-79 29-80 29-80 29-80 29-90 29-93 29-93 29-79 29-76 29-76 29-63 49-0 47-< 43-0 43-0 53-0 53-0 53-0 55-0 52-0 51-0 50-0 56-0 54-0 54-0 54-0 53-0 57-0 52-0 52-0 51-0 51-0 52-0 44-0 42-0 50-0 50-0 47-0 48-0 52-0 47-0 44-0 47-0 44-0 / u 0. 13-23 2. 1-69 0. 25-36 0. 53-72 0. 6-90 0.41-50 0. 31-83 0. 24-74 0.31-71 0. 33-82 0. 45-99 0. 34-64 tl 23-86 14-32 1-51 40-00 34-61 1-30 34-53 13-91 30-31 36-80 28-45 39-99 30-23 33-74 34-27 28-58 * 14-61 31-25 34-03 14-97 39-98 27-93 33-89 / // + 0. 3-78 + 0. 3-33 + 0. 4-85 + 0. 4-20 + 0. 4-13 + 0. 3-46 + 0. 4-57 +0. 4-12 + 0. 3-12 + 0. 4-15 +0. 4"27 + 0. 3-65 + 0. 2-99 + 0. 2-60 + 0. 4-97 + 0. 4-74 + 0. 3-44 + 0. 3-30 + 0. 2-95 + 0. 3-91 + 0. 5-09 + 0. 4-85 * + 0. 4-88 / u 59. 45-87 60. 25-43 60.49-15 60. 54-04 60. 40-69 60. 11-62 59. 31-68 57. 59-24 57. 14-44 55. 55-41 / '/ 40. 8-11 35. 1-56 30. 31-80 27. 0-23 25. 8-28 25. 45-70 27. 36-98 34. 30-31 38. 25-25 50. 3-20 u 17-57 -16-30 -13-27 8-38 - 2-16 + 4-11 + 9-27 + 14-66 + 15-44 14-09 o / // 80.20.20-57 80. 4. 0-77 73. 38. 35-07 73.55. 5-68 68. 23. 52-37 68. 40. 29-46 \ 64.38.18-15 64. 64. 56-68 62.49. 8-75 63. 5.43-52 63. 40. 36-50 63.24. 9-66 65. 57. 16-47 65.41. 0-54 74. 44. 30-04 74. 28. 39-37 80.20.26-82 80. 4.48-38 101.37.26-02 101.22. 9-77 u 50-56 50-53 oO-uO 50-48 50-45 50-42 50-39 50-33 50-30 49-92 of Capricorni . . . a Andromedas . . 45. 20. 28-90 74. 12. 34-90 67.21.58-65 61.52.33-10 67. 21. 58-25 68. 53. 69-80 77. 9.23-80 69. 52. 52-55 79. 47. 42-50 81.34.30-80 45. 20. 29-50 65. 4.54-10 63. 13. 49-65 91. 9. 12-00 75. 43. 47-45 67. 21. 57-50 64. 5.46-90 81. 34. 29-70 66.24. 9-00 77. 9.23-60 69. 52. 52-20 67.21.58-85 75. 17. 57-75 77. 9.24-15 45. 20. 27-95 86. 35. 18-00 80. 57. 38-05 67.21.56-95 102. 25. 12-75 Moon's U. L. . . . a, Arietis a. Andromedas . . Moon's U. L. . . . Regulus Arcturus 29-62 29-67 29-67 29-67 29-67 29-68 29-75 29-75 29-78 29-82 29-97 30-13 30-15 30-20 30-12 30-10 30-10 30-01 29-94 29-85 29-78 29-65 v Aquilae 0.50-15 0. 53-38 0. 6-84 a Cvsrni . . Moon's II. L. ... Moon's U. L. . . . a Aquarii 0. 28-64 0. 26-16 1. 15-24 0. 43-69 0.31-80 0. 27-67 0. 54-14 0. 31-35 0. 47-57 0. 35-75 0. 32-23 0. 43-96 0. 46-91 0. 6-94 1. 5-08 0. 53-64 0. 32-06 1.58-48 a Pe^asi a Arietis 28. 50. 38 25. 34. 27 43. 3.10 27. 52. 49 38.38. 4 31.21.32 28. 50. 39 36. 46. 38 38.38. 4 6.49. 8 48. 3. 58 42. 26. 18 28. 50. 37 63. 53. 53 Moon's L. L . . . . aAquilse Moon's L. L. ... Regulus Arcturus a Arietis Moon's L. L. ... a Cveni. . a Ceti Moon's L. L a Arietis. ...... Moon's L. L . . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION or MOON'S NORTH POLAR DISTANCE. (355) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- neter. Refrac- tion. Seconds of I Star's Tabular! N. P. D. Correction for Index Error. Tabular lorizontal ".quatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular bliquity of Ecliptic. 23. 27'. 1822. ; Nov. 21 23 24 25 27 28 29 30 Dec. 1 3 4 5 a Aquarii O 1 II 01. 9. 10-35 120.27. 0-80 86. 35. 20-35 75. 43. 47-05 90. 32. 11-00 86. 35. 19-95 69. 52. 59-25 84. 9. 0-00 81. 34. 35-00 75. 43. 47-90 75.47. 6-65 77.51.43-50 45.20. 31-45 67. 29. 48-90 86. 35. 20-65 64. 0.4T75 69. 52. 58-55 07. 21. 58-05 73. 50. 24-50 03. 15. 35-90 69. 52. 58-40 86. 35. 19-45 73. 50. 23-80 64.45.17-50 73. 50. 24-90 68.44. 6-25 100. 12.14-40 67. 21. 55-35 86. 35. 19-80 79. 10. 39-30 69. 52. 59-75 73.50.25-35 91. 17. 14-95 1 II 52. 37. 50 81.55.41 48. 4. 37. 12. 27 52. 0.61 48. 4. 31.21.39 45. 37. 40 43. 3.15 37.12.28 37.15.47 39. 20. 24 6.49.11 28. 58. 29 48. 4. 1 25. 29. 28 31.21.39 28. 50. 38 35. 19. 5 24.44.16 31.21.38 48. 3.59 35. 19. 4 26.13.58 35. 19. 5 30. 12. 46 61.40.54 28. 50. 35 48. 4. 40. 39. 19 31.21.40 35.19. 5 52. 45. 55 29-65 29-67 29-70 29-54 29-50 29-59 29-76 29-60 29-40 29-39 29-38 29-36 29-55 29-58 29-20 29-25 29-36 29-10 29-17 29-17 29-27 29-34 29-36 29-38 28-85 28-91 28'94 o 44-0 43-0 42-0 48-0 47-5 47-5 46-0 51-0 50-0 47-5 47-5 46-0 47-0 42-0 42-0 39-0 37-5 37-0 36-0 35-0 36-0 38-0 38-0 37-0 43-0 40-0 37-0 34-0 34-0 36-0 35-0 45-0 42-0 / // 1. 16-23 6.31-62 1. 5-02 0. 43-74 1. 13-80 1. 4-25 0. 35-52 0. 58-60 0. 53-33 0. 43-56 0. 43-63 0.47-11 0. 6-91 0. 32-35 1. 4-13 0.27-72 0. 35-67 0. 32-05 0. 41-32 0. 26'94 0. 35-65 1. 4-97 0.41-42 0. 28-89 0. 40-27 0. 33-38 1. 46-79 0. 32-57 1. 5-77 0. 50-66 0.36-20 0. 40-34 1. 15-94 // 31-02 37-97 28-87 33-79 29-01 36-42 30-28 33-82 53-09 41-58 29-38 37-79 32-71 9-94 38-06 29-52 9-96 9-98 3- 84 / /' + 0. 4-44 + 0. 5-55 + 0. 3-50 + 0. 3-00 * + 0. 4-81 + 0. 1-65 + 0. 1-95 + 0. 2-30 + 0. 2-81 + 0. 3-22 + 0. 4-60 + 0. 3-57 + 0. 2-61 + 0. 4-12 + 0. 4-01 + 0. 5-10 + 0. 4-74 +0. 4-81 + 0. 2-65 + 0. 4-65 +0. 4-18 + 0. 3-48 + 0. 4-39 / n 57. 44-11 58. 44-73 59. 43-24 61. 9-01 61.24-79 61.18-69 60. 51-71 60. 8-42 58. 17-52 56. 30-37 / // 45. 18-60 41. 47-09 37. 38-49 29. 23-77 26. 12-15 25.25-75 26. 40-56 30. 2-44 37. 46-05 44. 47-92 u 16-58 -17-05 16-66 -11-19 6-52 + 1-28 + 7-60 + 12-23 + 15-89 + 15-46 o / '// 89. 48. 25-93 89. 32. 39-38 83.28.31-25 83. 12. 28-14 77.15.11-15 76. 58. 52-06 67. 1.12-47 66. 44. 29-96 63.35. 6-91 63.51.53-72 62.50.41-95 63. 7.27-10 64. 19. 18-31 64. 35. 56-10 68. 14. 53-49 67. 58. 27-52 78.34. 3-90 78.18. 8-24 90.34. 1-77 90. 18. 35-36 it 49-86 49-83 49-81 49-76 49-73 49-72 49-70 49-67 49-62 49-58 Pegasi Moon's L. L. ... a Ceti Arcturus Moon's L. L. ... yPesrasi. . Moon's L. L. ... Moon's L. L. ... a. Ceti Moon's U. L. . () Aldebaran Moon's U. L. . . . a Ceti Aldebaran Moon's U. L. . . . Moon's L. L. ... a, Arietis 29-45 29-45 29-51 29-64 29-02 29-27 32-57 29-75 39-43 10-08 a Ceti Moon's L. L. . . . Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (") The correction for increase of N.P.D. during passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. 2(Z)2 (356) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N.P. D. 1 Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 2327'. 1 822. Dec. 5 6 7 19 20 21 22 25 26 27 28 O I II 69.53. 1-65 62. 40. 41-90 81. 34. 34-00 91. 9.11-40 97. 10. 45-65 100. 12. 11-35 91. 9.11-60 75. 43. 46-95 75.47. 5-10 102. 40. 47-05 69.53. 2-30 75. 43. 44-55 92. 42. 18-55 61. 32. 30-90 86.34.57-15 75.47. 2-70 82. 36. 54-80 80. 27. 24-90 73. 50. 21-05 61.32.29-50 82. 36. 58-65 75.47. 3-60 65. 50. 37-85 69.53. 2-15 73. 50. 21-35 63. 22. 35-05 61. 32. 27-50 69.53. 3-10 75. 43. 44-75 67. 21. 53-80 63. 41. 37-90 69.53. 0-00 81. 34. 33-40 73. 50. 22-00 66.12.40-10 O f II 31.21.42 24. 9.22 43. 3. 14 |52. 37. 51 58. 39. 26 61.40.51 52. 37. 52 37. 12. 27 37.15.45 64. 9.27 31.21.42 37. 12. 25 54. 10. 69 23. 1. 11 48. 3.37 37. 15. 43 44. 5.35 41.56. 5 35. 19. 1 23. 1.10 44. 5.39 37.15.44 27. 19. 18 31.21.42 35. 19. 1 24.51.15 23. 1. 8 31.21.43 37. 12. 25 28. 50. 34 25. 10. 18 31.21.40 43. 3.13 35.19. 2 27.41.20 in. 29-36 29-40 29-50 29-56 29-80 29-80 29-90 29-90 29-92 30-10 30-19 30-20 30-20 30-19 30-15 30-15 30-09 29-95 29-94 29-94 29-94 30-30 30-32 30-29 30-24 30-23 30-23 30-19 30-22 30-22 30-19 30-13 30-09 30-05 30-03 o 41-5 42-0 44-0 42-0 34-0 35-0 38-0 38-0 38-0 32-0 28-5 29-0 29-0 31-0 29-0 29-0 27-0 36-0 32-0 32-0 32-0 33-0 27-0 26-0 27-0 26-0 26-0 26-0 27-5 23-5 22-5 21-0 28-0 22-0 24-0 / it 0. 35-37 0. 26-04 0.54-17 1. 16-32 1.37-99 1.50-42 1. 17-84 0. 45-19 0.45-31 2. 4-77 0. 37-38 0. 46-52 1. 24-78 0. 25-93 1. 8-03 0. 46-54 0. 59-38 0. 53-77 0. 42-77 0. 25-R6 0. 58-46 0. 46-37 0.31-93 0. 37-71 0. 43-66 0. 28-60 0. 26-24 0. 37-58 0. 46-70 0.34-18 0. 29-20 0. 37-91 0. 57-14 0. 43-85 0. 32-33 It 39-70 10-88 31-52 31-87 4-64 31-95 34-36 53-39 43-49 35-26 0-76 54-05 59-96 10-56 0-69 0-07 54-30 45-07 10-68 0-54 45-31 35-88 32-44 45-56 34-57 10-74 / // + 0. 2-68 + 0. 2-94 + 0. 3-35 + 0. 4-15 + 0. 2-87 + 0. 2-51 + 0. 2-22 + 0. 2-98 + 0. 3-81 + 0. 4-19 + 0. 3-93 + 0. 4-81 + 0. 5-78 +0. 6-74 + 0. 5-53 + 0. 2-96 + 0. 4-33 + 0. 5-21 + 0. 6-67 + 0. 6-80 + 0. 4-63 + 0. 4-43 + 0. 4-46 + 0. 7-65 + 0. 4-03 + 0. 4-89 / a 55.46-14 55. 9-89 56.32-18 57. 22-99 58. 18-29 60. 50-38 61. 16-82 61. 22-75 61. 6-70 ' U 47. 27-26 49. 29-09 45. 39-49 42.29-14 38. 45-31 27. 41-99 25. 31-79 25. 52-74 \ 28. 10-19 // + 14-53 + 13-29 15-51 16-04 16-03 8-45 2-37 + 4-44 + 10-43 o / // 96. 25. 14-37 96.10. 0-05 101.53.38-59 101.38.34-17 91. 58. 23-33 91. 42. 56-43 85. 53. 57-86 85. 38. 17-09 79. 49. 54-47 79. 33. 58-58 65.23.41-31 65. 7. 3-89 62. 57. 39-93 63. 14. 24-57 63.16.15-43 63.33. 1-68 65.45.17-44 66. 1.59-32 49-56 49-55 49-40 49-39 49-38 49-36 49-35 49-35 49-35 a Coronas Borealis -' Aquilae Moon's L. L. ... Moon's L. L. a Pesrasi . Moon's L. L. ... /3 Tauri Moon's L. L. ... v Pesrasi . a Orionis Moon's L. L. ... Aldebaran e Tauri a Orionis yPeffasi . . Moon's L. L. ... Aldebaran Moon's U.L. . . . /3 Tauri Arcturus a Pegasi a Arietis Moon's U. L Arcturus a Aquilae Aldebaran Moon's V. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. 1'. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAK DISTANCE. (357) , Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabularl N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi. diainoter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L.or2L. Tabular Obliquity of Ecliptic. 23. 27'. 1822. Dec. 28 29 1823. Jan. 3 19 23 24 Feb. 3 4 19 20 21 o > 69.53. 2-85 75.47. 4-95 86. 35. 18-95 71. 4.47-35 69.53. 4-70 45. 20. 38-35 100. 58. 55-95 69.53. 6-45 75.47. 7-15 76.36. 9-85 67.21.56-10 86. 35. 19-80 67.21.56-25 63.12. 8-35 84. 18. 42-25 61. 32. 49-80 64.35. 9-60 115.52.30-50 75. 23. 34-30 77. 17.40-20 51. 22. 34-75 86. 35. 26-00 84. 18.45-10 117. 33. 43-00 81. 34. 45-25 67.22. 1-55 61.32.31-75 63. 49. 59-55 81.34.45-25 67.22. 0-55 86. 35. 25-65 63. 46. 49-00 73. 50. 27-80 66. 14. 12-90 ota 31.21.43 37. 15. 45 48. 3. 59 32. 33. 27 31.21.45 6.49.18 62. 27. 36 31.21.46 37.15.47 38. 4.50 28. 50. 36 48. 4. 28. 50. 36 24. 40. 48 45. 47. 22 23. 1. 30 26. 3.50 77.21.11 36. 52. 14 38. 46. 20 12.51.15 48. 4. 6 45. 47. 25 79. 2.23 43. 3.25 28. 50. 42 23. 1. 12 25.18.40 43. 3.25 28. 50. 41 48. 4. 6 25. 15. 29 35.19. 8 27. 42. 53 in. 29-99 29-89 29-86 29-80 29-71 29-74 29-66 29-66 29-38 29-43 29-40 29-43 29-57 29-57 29-55 29-55 29-70 29-18 29-22 29-22 29-22 29-26 29-33 29-49 29-60 29-24 29-44 29-41 29-71 29-80 29-82 29-81 29-35 29-42 o 23-0 25-0 24-0 20-0 19-5 44-0 38-0 36-0 18-0 18-0 17-0 16-0 21-0 24-0 24-0 24-0 22-5 31-0 32-0 32-0 33-0 34-0 30-0 28-0 31-0 44-0 39-0 38-0 36-0 42-0 39-0 36-0 43-0 41-0 / // 0. 37-58 0. 46-53 1. 8-12 0. 39-36 0. 37-51 0. 7-00 1. 52-83 0.36-15 0. 46-43 0. 47-90 0. 33-72 1. 8-31 0. 33-62 0. 27-88 1. 2-26 0. 25-76 0. 29-96 4. 17-28 0. 44-18 0. 47-31 0. 13-42 1. 5-35 1. 1-01 5. 1-24 0. 55-86 0. 31-67 0. 24-86 0. 27-70 0. 55-48 0. 32-41 1. 5-90 0. 28-13 0. 40-97 0. 30-59 It 45-81 54-58 31-76 46-05 49-03 47-25 56-30 33-25 33-22 33-49 47-91 19-41 19-87 28-94 48-88 34-12 49-01 40-34 35-57 59-09 42-07 35-66 34-80 12-38 / // + 0. 5-38 + 0. 3-10 + 0. 4-69 + 0. 3-84 + 0. 3-68 + 0. 4-65 + 0. 2-72 + 0. 3-43 + 0. 5-11 + 0. 3-62 + 0. 3-40 + 0. 3-85 + 0. 1-39 + 0. 1-43 + 0. 0-71 + 0. 2-77 + 0. 2-90 -0. 0-77 + 0. 2-35 + 0. 2-48 , + 0. 1-34 + 0. 2-70 + 0. 3-25 + 0. 3-61 / ;/ 60.31-19 55. 53-30 58. 0-02 60. 35-67 60.48-47 54. 21-70 54. 7-81 59.28-80 59.46-32 59. 54-68 / a 32. 20-73 49. 23-17 35. 33-72 25. 4-60 26. 29-50 52. 54-78 53. 1-11 25. 12-59 25. 16-95 27. 38-41 // + 14-45 + 14-12 14-80 + 0-99 + 7-29 + 6-07 + 2-78 1-37 + 4-44 + 9-82 O I II 70. 33. 24-31 70. 16. 52- 13 100.11.43-89 99. 56. 27-61 76. 1.42-58 75. 45. 51-70 62. 47. 34-26 63. 4. 7-67 64. 9. 6-39 64. 25. 43-29 115. 4. 0-25 114.49. 8-99 116.45.47-54 116.31. 0-07 63.25.18-09 63. 9. 2-95 63.21.58-93 63. 38. 18-86 65. 46. 57-96 66. 3.20-17 it 49-35 49-3(3 49-45 49-49 49-50 49-63 49-64 49-79 49-80 49-82 v Peeasi . , a Ceti Moon's L. L. ... Arcturus a, Cygni Moon's L. L. ... y Peitasi . . Moon's L. L. . . . a Ceti Moon's U. L. ... Procyon Pollux Moon's U. L. . . . Moon's L. L. ... a Ophiucbi a Lyrae a Ceti Procyon Moon's L. L. . . . a Aquilas nter, at Transit of 1 L. or 2 L. Tabular Obliquit) of Ecliptic. 3. 27'. 1 1823. ': War. 22 23 27 30 [Apr. 18 19 20 21 22 24 27 Pollux O 1 II 61. 32. 54-15 97. 52. 28-30 77. 9.46-55 79.25.18-65 61.32.49-40 97. 52. 20-55 77. 9.41-65 104. 23. 25-20 115.56.57-80 81.34.46-20 45.21. 0-90 72. 18. 53-80 77. 9.40-65 81.34.46-90 77.42.17-15 77. 9.39-50 61.22.38-50 81.34.43-85 84.18.49-00 61. 32. 49-30 97. 52. 21-40 83. 40. 14-70 77. 9.43-00 89. 51. 46-55 51.22.40-80 81.34.47-25 106.26.41-45 61. 3-2.52-35 97. 52. 24-40 95. 58. 14-30 61.32.37-95 106. 26. 40-35 77. 9.43-10 107.21.38-25 98. 23. 12-75 o / " 23. 1.32 59.21. 6 38.38.25 40. 53. 57 23. 1. 27 59. 20. 59 38. 38. 20 65.52. 8 77. 25. 36 43. 3.24 6. 49. 39 33. 47. 32 38. 38. 19 43. 3.25 39.10.55 38. 38. 18 12.51. 17 43. 3.22 45. 47. 27 23. 1.27 59. 20. 59 ID. 29-15 29-21 29-22 29-80 29-86 29-86 29-86 29-86 29-88 29'94 29-97 29-34 29-30 29-34 29-51 29-51 29-66 29-68 29-85 29-85 29-86 29-87 29-74 29-73 29-67 29-68 29-58 29-56 29-55 29-50 29-60 29-65 29-72 29-75 29-95 o 44-0 43-0 43-0 40-0 41-0 39-0 39-0 36-0 42-0 41-0 43-0 47-0 43-0 36-0 39-0 38-0 32-0 33-0 46-0 46-0 42-0 41-0 44-0 40-0 34-0 35-0 53-0 52-0 45-0 41-0 50-0 49-0 41-0 36-0 51-0 / // 0. 24-37 1. 36-87 0. 46-02 0.51-16 0.25-12 1.39-84 0. 47-42 2. 12-58 4. 18-80 0. 55-33 0. 7-07 0. 38-37 0.46-14 0. 54-79 0. 47-78 0. 46-96 0. 13-65 0. 55-77 1. 0-05 0. 24-85 1.39-22 0. 59-37 0. 46-74 1. 13-59 0. 13-60 0. 55-64 2. 19-85 0. 24-31 1.37-58 1.31-23 0. 24-44 2. 21-33 0. 47-00 2. 32-58 1. 39-70 tt 16-43 1-05 29-69 16-23 1-34 29-52 * 43-29 8-94 28-53 41-87 28-48 53-23 41-77 50-81 15-69 2-06 28-37 52-90 41-63 59-24 15-68 2-04 1-11 59-10 28-22 50-84 / u 0. 2-09 0. 4-12 0. 2-88 + 0. 1-71 + 0. 0-95 + 0. 0-45 * + 0. 1-76 +0. 0-97 + 0. 1-74 + 0. 0-18 +0. 2-02 + 0. 1-08 + 0. 2-15 + 0. 1-76 + 0. 1-54 + 0. 1-44 0. 1-37 0. 1-50 -0. 1-26 0. 2-06 0. 0-98 + 0. 0-06 0. 1-28 -0. 2-58 -0. 1-88 0. 1-61 / // 58.39-71 56. 30-98 54. 49-44 58. 48-62 58. 22-64 57. 54-77 57. 25-29 56. 54-86 55.53-34 / // 38. 11-67 51. 24-79 53.22-72 32. 29-46 36.40-11 40. 50-97 44. 38-53 47. 47-23 51.57-88 // + 16-42 -I-13-86 + 5-67 + 13-83 + 15-52 + 16-21 + 16-14 + 15-42 + 12-32 Oil 78. 47. 38-69 79. 3.40-42 103. 34. 27-89 103.19. 1-32 115. 8. 0-92 114.53. 2-08 71.46.49-84 72. 2.54-01 77. 6.11-05 77.22. 8-12 83. 0. 8-47 83. 15. 57-92 89. 8. 4-09 89. 23. 45-49 95. 11.41-89 95. 27. 14-99 106. 31. 58-72 106. 16. 42-43 n 49-81 49-76 49-72 49-35 49-32 49-30 49-27 49-24 49-18 llegulus Moon's U. L. . . . Pollux a Hydrae Moon's L. L. ... Moon's L. L. ... a, Cv'lli. . Moon's U. L. . . . a, Aquilae Moon's U. L. ... Regulus Lyras a. Aquilae Procyon Pollux Moon's U. L. ... Regulus 45. 8.53 38. 38. 19 51. 20. 23 12.51. 17 43. 3.23 07. 55. 17 23. 1.28 59.21. 57. 26. 50 23. 1.14 67. 55. 16 38. 38. 19 68. 50. 14 59.51.49 Moon's U. L. a Lyrae a Aquilae Pollux Moon's U. L. . . . (3 Tauri Moon's L. L. ... Rio-el The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (360) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Da)-. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star'sTabnlarl N.P.D. Correction for Index Error. Tabular Horizontal Equatorial Parallax. Parallax. Increase of Moon'g N.P.D. during the Passage of Semi, diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Ibliquity of Ecliptic. 3. 27'. 1823. Apr. 27 28 29 30 May 1 15 16 17 18 19 23 o / a 106. 26. 40-00 116.48.16-30 81.34.44-15 62. 40. 55-80 117.27.49-75 73. 50. 34-90 82.37. 9-30 106.26.38-10 84. 18.51-40 83. 0. 0-45 116. 19. 9-80 84. 18. 52-80 61.32. 61-90 77. 9.42-25 1 14. 25. 36-30 106. 26. 39-40 84.18.52-05 97.52.27-10 111.25.21-90 77. 9.42-10 76. 13. 10-40 62. 40. 53-60 77. 9.42-50 82. 4.23-05 75.23.32-75 61. 52. 49-50 84. 18. 51-45 61.32.52-15 88. 11.36-25 69. 53. 11-95 94. 16. 14-50 106. 26. 38-75 77. 9.42-60 69.53.11-65 113.48.22-00 O / tl 67. 55. 16 78. 16. 52 43. 3.20 24. 9.32 78. 56. 26 35. 19. 1 1 44. 5.45 67. 55. 14 45. 47. 27 44. 28. 36 77. 47. 46 45. 47. 29 23. 1.28 38.38.18 75. 54. 12 67.55.15 45. 47. 28 59.21. 3 72. 53. 58 38.38.18 37.41.46 24. 9.30 38. 38. 19 43. 32. 59 36.52. 9 23. 21. 26 45. 47. 27 23. 1.28 49. 40. 12 31.21.48 55. 44. 51 ,67. 55. 15 |38.38. 19 31.21.48 75. 16. 69 in. 29-95 30-02 30-02 29-98 29-98 30-17 30-19 30-19 30-19 30-30 30-30 30-30 30-30 30-30 30-26 30-26 30-26 30-25 30-24 30'00 29-90 29-82 29-95 29-95 30-05 30-05 29-98 29-98 29-93 29-90 29-66 29-70 29-75 29-80 29-80 o 49-0 34-0 31-5 42-0 40-0 52-0 53-5 51-0 50-5 37-0 36-0 56-0 56-0 53-0 40-0 63-0 64-0 58-0 44-0 56-0 56-0 52-0 56-0 bQ-O 42-0 53-0 62-0 62-0 56-0 48-0 55-0 59-0 56-0 47-5 46-0 i it 2. 22-76 4. 43-53 0. 56-59 0. 26-56 4. 55-74 0.41-32 0. 56-38 2. 23-30 1. 0-17 0. 59-33 4. 33-79 0. 59-72 0. 24-72 0. 46-75 3. 54-82 2. 20-17 0. 58-69 1. 37-27 3.11-04 0.46-01 0. 44-33 0.25-88 0. 45-93 0. 54-60 0. 44-49 0. 25-06 0. 58-38 0.24-16 1. 7-57 0. 35-55 1. 23-58 2. 18-69 0. 45-62 0. 35-46 3. 38-64 U 58-87 40-77 21-45 13-94 4-38 0-24 50-59 58-06 50-56 15-68 27-91 58-54 50-53 1-96 27-14 17-52 27-04 16-50 12-93 49-88 15-99 46-46 56-93 26-76 45-68 / // 0. 3-89 + 0. 0-03 0. 0-91 0. 2-28 0. 1-30 0. 1-16 0. 0-98 0. 1-72 0. 1-96 0. 0-94 0. 1-09 0. 1-03 0. 0-21 0. 2-41 -0. 0-97 0. 1-96 0. 1-39 0. 0'74 0. 1-63 + 0. 0-05 0. 0-32 0. 1-04 0. 0-51 -0. 1-46 0. 1-43 / // 54. 34-96 54. 18-52 54. 9-79 54. 10-17 54. 20-73 58.54-19 58. 13-08 57. 32-39 56. 53-86 54. 53-10 / // 53. 19-06 53. 10-50 52. 48-44 52. 24-09 51. 47-88 35. 48-06 39.54-10 43. 39-86 46. 50-45 52. 56-88 // + 3-53 0-06 - 3-51 6-63 9-26 + 15-39 + 16-12 + 16-04 + 15-40 + 7-82 O t II 115. 59. 42-48 115.44.47-60 116. 39.33-43 1 16. 24. 43-03 115. 30. 50-35 115.45.38-36 113.36.59-07 113.51.47-18 110. 36. 34-58 110.51.25-58 75. 37. 49-84 75. 53. 55-53 81.25. 6-18 81.41. 0-63 87.28.47-48 87. 44. 30-82 93. 30. 31-79 93.46. 4-61 112.58.55-41 112.43.55-57 // 49-U 49-08 49-05 49-02 48-99 48-59 48-56 48-54 48-51 48-41: Moon's L. L. ... a CoronsB Borealis Moon's L. L. ... Moons (J. L. . . . Pollux Regulus Moon's U. L. ... Moon's U. L. . . . Moon's U. L. . . . aCoronse Borealis Moon's U. L. . . . a Herculis a Andromedse . . Procyon Pollux Moon's U. L Moon's U. L. . . . Moon's L. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (361) Vear, Month, , and 1. Day. Name of Object, Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizontal Kquatoreal Parallax. Parallax. Increase of Moon'i N.P.D. during the Pawage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1823. May 26 27 28 29 30 31 Juilt; 1 14 15 16 17 18 Arcturus a, Serpentis Q 1 II 69. 53. 12-80 82. 59. 58-90 51.22.33-50 115. 4.51-45 77. 9.42-65 69.53. 11-40 62.40.51-15 112.26.38-05 77. 9.44-15 75. 23. 32-00 77. 17. 37-05 108.49. 9-90 104.23. 1-00 77. 9.42-80 75. 23. 32-35 77. 17. 38-05 99. 18. 23-20 77. 9.42-50 82. 59. 59-75 75. 23. 32-65 93.45.16-40 77. 17.34-30 77. 9.41-20 92.33.17-55 115.57.48-55 98.29. 9-50 75. 23. 27'30 77. 17.32-80 81.34.35-20 77. 9.40-00 103. 54. 5-50 82. 59. 56-30 115.57.46-10 O 1 H 31. 21.49 44. 28. 35 12.51.10 76. 33. 27 38. 38. 19 31.21.47 24. 9.27 73. 55. 14 38. 38. 20 36.52. 8 38. 46. 13 70. 17. 4(i 65. 51. 37 38. 38. 19 36.52. 8 38. 46. 14 60. 46. 59 38. 38. 19 44. 28. 36 36.52. 9 55. 13. 52 38. 46. 10 38. 38. 17 54. 1.54 77. 26. 25 59. 57. 46 36.52. 3 38.46. 9 43. 3. 1 1 38. 38. 16 65. 22. 42 44. 28. 32 77. 26. 22 in. 29-73 29-73 29-80 29-80 29-93 29-94 29-96 29-97 30-02 30-04 30-04 30-02 30-08 30-10 30-08 30-08 30-05 30-01 29-97 29-95 29-93 29-83 29-98 30-03 30-10 30-22 30-20 30-20 30-20 30-20 30-16 30-07 30-07 o 53-5 52-0 51-0 51-0 67-0 53-0 52-0 47-0 63-0 48-0 48-0 47-0 50-0 66-0 50-0 50-0 50-1 73-0 61-0 60-0 59-0 56-0 61-0 60-0 53-0 59-0 48-0 48-0 46-0 66-0 58-0 50-0 49-0 / n 0. 34-95 0. 56-43 0.13-19 3. 56-99 0. 44-90 0. 35-23 0. 26-00 3. 20-50 0. 45-40 0. 43-93 0. 47-04 2. 42-42 2. 9-67 0. 45-24 0.43-81 0.46-91 1.44-02 0. 44-49 0.55-87 0. 42-75 1. 22-06 0. 45-96 0. 45-52 1.18-63 4. 15-02 1. 39-37 0. 44-16 0. 47-29 0. 55-23 0. 45-39 2. 5-11 0. 57-31 4. 16-89 n 45-21 54-63 44-41 26-54 44-90 14-82 26-50 14-13 23-78 26-42 13-72 23-39 26-38 53-82 13-53 20-61 25-85 2-57 10-50 '20-22 31-44 25-81 51-55 2'65 i rr -0. 2-54 0. 0-70 0. 2-28 0. 1-01 0. 1-73 0. 2-33 0. 3-05 0. 1-80 0. 0-31 * 0. 1-62 0. 2-44 0. 1-57 -0. 0-61 0. 1-80 0. 1-87 + 0. 0-35 0. 0-87 0. 1-00 0. 0-96 + 0. 0-13 + 0. 1-01 + 0. 0-42 0. 2-06 0. 0-34 / * 54. 1-59 54. 4-90 54. 16-78 54. 37-97 55. 8-98 55. 49-68 57. 31-57 56. 43-20 56. 0-59 i a 52. 24-66 51. 49-44 50. 57-02 49. 41-59 47. 57-57 45. 40-46 46.21-88 48. 55-31 50. 45-00 // 5-60 8-35 10-57 12-30 13-61 14-59 + 15-96 + 14-76 + 13-13 o / // 114.16. 16-34 114.31. 2-11 111.37.59-07 111.52.45-74 108. 0.43-01 108. 15. 32-93 103, 35. 14-90 103. 50. 10-61 98.31.54-16 98. 46. 58-33 93. 0.41-98 93. 15. 57-27 91.47.57-84 92. 3.40-96 97. 41. 38-86 97.57. 8-77 103. 5.1) -82 103.20.30-10 n 48-32 48-29 48-26 48-24 48-23 48-21 48-00 47-98 47-97 a Lvrae Moon's U. L. . . . Regulus Arcturus n Coronae Borealis Moon's U. L. . . . Res;ulus a. Herculis Moon's U. L. . . . Moon's U. L. . . . a Ophiuchi Moon's U. L. . . . a Serpentis a. Herculis Moon's U. L. . . . a Ophiuchi Kegulns Moon's U. L. . . . Moon's U. L. . . . Herculis a Ophiuchi Moon's U. L. . . . a. Serpentis Antares The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. GREENWICH LUNAR REDUCTIONS. 3 (A) (362) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- neter. Refrac- tion. Seconds of 1 Star's Tabular^ N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi' diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1823. June 20 22 23 24 25 27 28 29 July 21 22 28 29 30 Aug. 14 15 Moon's U. L. ... a Serpentis < " 115. 5.48-80 82. 59. 55-50 115. 57. 46-85 75. 23. 26-65 75. 23. 26-55 69.53. 7-85 116. 9.26-65 62. 40. 45-35 113.22.19-50 67.22. 7-30 82. 59. 56-70 77. 9.43-30 81. 34. 36-40 95. 37. 17'75 67.22. 6-35 115.57.51-40 81.34.34-70 89.57.11-75 67.22. 4-85 114.15.20-80 67.22. 3-20 73. 50. 30-90 77. 9.41-30 81.34.29-45 74.59. 2-45 98. 22. 59-10 62. 40. 40-35 115.44.55-70 75. 23. 20-20 62. 40. 39-55 116.47.47-10 98. 22. 59-00 ' 76. 34. 25 44. 28. 32 77. 26. 23 36.52. 3 36.52. 3 31.21.44 77.38. 3 24. 9.21 74. 50. 56 28. 50. 43 44. 28. 33 38.38.19 43. 3.12 57. 5.54 28. 50. 42 77. 26. 27 43. 3.11 51.25.48 28. 50. 41 75. 43. 57 28. 50. 39 35.19. 7 38. 38. 17 43. 3. 5 36. 27. 38 59. 51. 35 24. 9.16 77. 13. 30 36. 51. 54 24. 9.14 78.16.21 59 51 33 In. 29-93 29-93 29-94 29-94 30-02 29-94 29-89 29-76 29-73 29-66 29-60 29-23 29-24 29-56 29-63 29-75 29-80 29-84 29-87 29-61 29-69 29-73 29-78 29-78 29-71 29-75 29-76 29-75 29-76 29-65 29-64 29-52 o 64-0 52-0 52-0 53-0 48-0 50-0 45-0 54-0 49-0 56-0 55-0 66-0 54-0 51-0 60-0 57-0 52-0 50-0 57-0 57-0 51-0 59-0 64-0 56-0 50-0 61-0 61-0 59-0 57-0 63-0 59-0 57-0 / // 3. 52-02 0. 56-81 4. 14-20 0. 43-34 0. 43-90 0. 35-45 4.21-51 0. 25-72 3. 30-4R 0. 31-35 0. 55-85 0. 43-94 0. 52-60 1. 28-36 0.31-07 4. 9-97 0.53-83 1. 12-58 0.31-51 3. 39-09 0. 31-70 0.40-17 0. 44-94 0. 53-36 0. 42-64 1.37-03 0. 25-36 4. 4'69 0. 42-73 0.25-16 4. 25-28 1. 37-06 n 51-31 2-71 9-71 9-33 41-41 9-27 36-94 50-70 25-53 29-10 36-41 2-96 28-68 36-25 32-71 9-37 25-25 23-07 35-37 4-40 1-43 3-57 32-95 / i> 0. 1-00 + 0. 1-66 -0. 0-28 -0. 1-12 -0. 1-89 0. 1-80 0. 1-71 0. 1-85 -0. 1-71 + 0. 0-10 0. 1-01 + 0. 1-59 +0. 0-15 0. 0-11 0. 2-19 0. 1-70 0. 0-99 + 0. 0-26 0. 0-76 -0. 1-31 0. 1-50 0. 1-14 0. 3-11 / " 54. 31-36 53. 57-21 53. 57-57 55. 7-65 55. 45-07 53. 57-53 57. 15-57 54. 46-56 54.22-26 ' n 52. 53-74 52. 34-43 51. 56-66 46. 6-27 43. 23-86 52. 9-42 33. 48-98 53. 17-06 53. 6-25 U + 5-56 4-63 - 7-55 13-97 -14-58 6-69 13-41 + 4-50 + 1-02 o / // 114.16.41-65 114.31.35-55 115.21. 7-50 115. 6.22-93 112.33.43-96 112.48.28-63 94. 52. 25-00 95. 7.28-81 89. 14. 46-43 89.30. 0-46 113.26.55-53 113.41.40-19 74.25.42-10 74. 41. 20-85 114.55.36-91 115.10.34-96 115.59. 2-90 116.13.54-31 * 47-93 47-92 47-91 47-89 47-89 47-95 48-02 48-18 48-20 a, Herculis Arcturus Moon's L. L. ... Coronae Borealis Moon's U. L a Arietis a. Serpentis Hegulus a Aquilse Moon's U. L. . . . a Arietis Antares a Aquilae Moon's U. L. ... a Arietis Moon's U. L. . . . a Arietis Aldebaran .... Regulus a Aquilae Moon's U. L. . . . Rteel. a Coronae Borealis Moon's U. L. . . . a Herculis a Coronae Borealis Moon's U. L. ... l!i"d . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. V. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (363) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Iher- mo- meter. Refrac- tion. Seconds of Star's Tabular^ N. P. D. Correction for Index Error. Tabular Horizontal Equate real Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- di&meter. Geocentric N.P.D. of U.L. or L. L., and of /enter, at Transit of 1 L.or2L. Tabular bliquity of Ecliptic. 3. 27'. 1823. \.Ug.l6 18 19 20 21 22 25 26 27 28 Sep. 11 12 13 a Herculis O 1 // 75.23.21-20 116.32. 24-20 O ' '/ 36.51.55 78. 0.58 41.16.15 45.29. 9 74. 20. 13 45. 29. 10 70. 40. 43 59. 51. 30 67. 54. 58 45. 47. 20 45. 47. 20 44. 28. 25 36. 51. 53 60. 36. 3 55. 4.30 44. 28. 27 36.51.55 33. 12. 56 45. 47. 22 36. 51. 54 45.29. 9 6.49. 3 26. 29. 29 77.52. 2 41. 16. 13 45.29. 8 64. 29. 18 78. 6.51 41.16.13 45.29. 8 37.12.13 77.34. 5 in. 29-49 29-51 29-55 29-55 29-78 29-78 29-78 29-79 29-80 29-80 29-79 29-80 29-84 29-85 29-61 29-80 29-83 29-97 30-13 30-10 30-08 30-08 30-02 30-20 30-17 30-17 30-17 29-94 29-92 29-92 29-88 29-80 o 56-0 55-0 53-0 53-0 61-0 61-0 54-0 57-0 60-0 63-0 57-0 62-0 56-0 51-0 60-0 76-0 72-0 59-0 62-0 65-0 60-0 59-0 53-0 60-0 53-0 53-0 52-0 62-0 59-0 59-0 56-0 63-0 / // 0. 42-43 4. 20-76 0. 50-04 0. 57-98 3. 18-81 0. 57-50 2. 42-14 1. 37-89 2. 18-85 0. 5T91 0. 58-59 0. 55-43 0. 42-93 1. 42-36 1.20-56 0. 53-92 0. 41-57 0. 37-43 0. 58-67 0. 42-53 0.58-19 0. 6-86 0.28-89 4. 20-91 0. 51-09 0. 59-20 2. 1-72 4. 22-86 0. 50-06 0.58-00 0. 43-52 4. 9-82 ti 1-25 29-31 32-04 31-78 32-50 40-10 44-30 44-27 46-16 0-86 46-06 0-58 44-05 0-39 30-71 34-38 26-45 29-59 42-22 26-37 29-53 16-99 / u -0. 2-38 0. 1-43 0. 0-64 0. 1-32 0. 1-29 -0. 2-55 + 0. 0-29 0. 0-72 0. 0-12 0. 0-97 0. 1-16 0. 2-09 0. 2-42 0. 2-44 0. 1-98 0. 1-18 0. 1-34 0. 1-21 0. 1-05 0. 0-79 0. 0-82 0. 3-33 / // 54. 8-07 54. 6-28 54. 16-40 54. 52-52 55. 16-85 57. 24-41 58. 40-20 54. 50-35 54. 26-02 54. 12-67 / // 52. 49-37 51. 57-50 51. 4-19 47. 38-10 45. 8-41 31. 14-02 25. 57-14 53. 28-81 53. 8-05 52. 48-64 // 2-45 8-42 10-68 -13-51 -14-28 12-04 5-46 + 2-43 1-14 4-46 Oil 15. 43. 56-56 15.58.44-10 112. 3. 7-06 11.48.20-01 108. 23. 56-25 108. 9. 6-44 98.21.32-61 98. 36. 32-29 92.51.52-87 93. 6.59-20 71.13.31-18 71. 29. 12-35 64. 35. 19-62 64.51.21-49 115.34. 13-97 115.49.13-05 115.49.29-45 116. 4.21-88 115.16.52-08 115. 2. 3-28 // 48-21 48-23 48-23 48-25 48-26 48-30 48-31 48-34 48-34 48-34 Moon's U. L. . . . 79. 47. 40-70 84. 0.34-70 112.51.39-05 84. 0.35-60 109.12. 8-90 98. 22. 55-90 106.26.23-80 84. 18. 46-10 84. 18. 46-40 82. 59. 50-85 75. 23. 18-90 99. 7.28-95 93. 35. 55-60 82. 59. 53-30 75.23.21-10 71.44.21-70 84.18.47-80 75. 23. 20-30 84. 0. 34-50 45. 20. 28-70 65. 0.55-20 116.23.25-50 79. 47. 36-70 84. 0.31-60 103. 0.41-55 116. 38. 15-15 79.47.37-10 84. 0.32-35 75. 43. 36-80 116. 5.28-55 /3 Aquilae Moon's L. L. ... Moon's L. L. ... Rigel . Sirius Procyon a Herculis Moon's U. L. . () Moon's U. L a Serpentis Moon's U. L. ... /3 Aquilse a. Cveni. . Moon's U. L Moon's U. L. ... y Aqnilae |3 Aquilae a 1 Capricorni . . . Moon's U. L. ... y Aquilae /3 Aquilae Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (') The correction for increase of N. P. D. during passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. 3 (A) 2 (S64) REDUCTION OF GREENWICH LUNAK OBSERVATIONS. Year, Month and Dav. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter Ther- mo- meter Refrac- tion. Seconds of Slur's Tabular N. P. D. Correction for Index Error Tabular Horizonta Equatoreal Parallax. Parallax. Increase ol Muun's N.P.D. during the Passage ol Semi- diameter. Geocentric N.P.D. of U.L or L. L., and of Center, at'fransi of! L.or2L. Tabular Obliquity of Erliptic. '23. MI. 1823. Sep. 13 14 15 16 17 18 10 20 22 24 I // 51. 22. 6-05 84. 0.33-85 103. 0.46-85 113.51.5425 45. 20. 24-40 91. 8.59-80 79.47 39-95 84. 0. 33 75 110.35.22-00 84. 18. 47-70 103. 0.41-15 106. 25. 62-65 91. 8.56-90 75. 43. 33-50 103. 0.41-90 101.33.58-20 84. 18. 44-00 77. 9.43-50 103. 0. 43-35 91. 8.64-50 96. 10. 44-20 84.18.44-90 84. 0. 30-55 03. 40-50 91. 8.55-80 89. 57. 22-75 75. 43. 33-00 84. 8.44-90 73.20. 3-30 84.18.46-35 61.33. 1-20 79. 47. 35-95 84. 0. 30-00 75. 43. 35-15 65.61.43-80 o / / 12. 50. 4- 45.29. 10 64. 29. 23 75. 20. 30 6.49. 52 37 36 29-8C 29-8C 29-81 29-52 29-51 o 62-C 60- C 60- C 66-C 67-0 65-0 56-0 56-0 55-0 54-0 53-0 53-0 52-0 51-0 54-0 52-0 47-0 55-0 49-0 47-0 46-0 43-0 52-0 52-0 51-0 52-0 52-0 49-0 48-0 45-0 45-0 61-0 61-0 59-0 55-0 * // 0. 12-89 0. 57-65 1. 58-29 3. 28-67 0. 6-62 1. 12-54 0. 49-89 0. 57-83 2. 54-25 0. 58-86 2. 0-26 2.21-26 1.15-61 0. 43-94 2. 0-53 I. 53-83 1. 0-66 0. 46-52 2. 2-96 1. 17-33 1.33-38 1. 1-15 0.59-14 2. 1-35 1. 16-22 1. 12-81 0. 44-00 0.59-51 0. 40-25 1. 0-11 0. 24-88 0. 49-76 0. 57-65 0. 43-26 0. 29-72 H 17-57 29-46 42-23 30-24 10-93 26-15 29-3- 44-03 42-23 10'83 / a 0. 1-37 0. 2-04 0. 2-91 -0. 0-78 0. 1-41 0. 3-69 0. 2-24 0. 2-53 + 0. 0-82 0. 1-68 0. 1-04 0. 0-19 0. 058 0. 2-36 0. 4-06 0. 1-08 0. 1-93 -0. 0-57 + 0. 0-42 0. 1-30 > 0. 1-12 0. 2-21 -0. 2-04 0. 0-07 + 0. 1-27 0. 3-03 r n 54. 10-01 54. 17-21 54. 32-85 54. 55-21 55. 22-52 55. 52-95 56. 24-82 57. 27-20 58.22-11 / // 52.16-12 51. 30-35 50. 23-33 48. 47-25 46. 36-39 43. 30-09 40. 7-24 32.35-13 " 26. 35-32 g - 7-39 - 9-82 11-74 13-18 14-15 14-68 -14-73 -12-76 6-65 O ' 113. 3.12-49 112.48.24-42 109. 46. 52-90 109. 32. 2-87 105. 38. 1-69 105. 23. 7-39 100.47. 16-92 100. 32. 16-51 95. 25. 52-98 95. 10. 45-11 89. 15. 19-67 89. 30. 35-85 83.29.21-23 83.44.46-12 72.47.53-53 73. 3.35-46 65. 25. 30-94 65. 41. 27-87 II 48-34 48-34 48-34 48-33 48-32 48-31 48-30 48-29 48-27 a 1 Capricorni . . Moon's L. L. . . a, Cveni . . a. Aquarii 29-45 29-64 29-65 29-65 29-75 29-87 29'9f 2990 29-87 30-00 30-05 30-22 30-27 30-29 30-27 30-27 30-21 30-08 30-08 30-08 30-05 29-97 29-94 29-68 29-82 29-82 29-8(5 29-86 29-88 29-89 y Aquilae 41. 16. 16 45.29.10 72. 3.58 45. 47. 24 64. 29. 17 67. 54. 29 52. 37. 33 37. 12. 10 64.29. 18 63. 2.34 45. 47. 20 38. 38. 20 64.29.19 52. 37. 31 57. 39. 20 45 47 21 /3 Aquilae Moon's L. L. ... Procyon <*' Capricorni. . . . Moon's L. L. ... Pecrasi . , 16-40 42-24 44-08 27-66 42-25 10-75 44-12 29-12 42-27 10-72 15-88 44-25 24-04 25-64 28-92 15-38 ' Capricorni. . . . Moou's L. L. . . . Procyon Regulus <*' Capricorni. . . . a Atjuarii Moon's L. L. ... Procyon . . . /3 Aquilas ' Capricorni . . . a Aquarii Moon's U. L. . . . a, Pegasi 45.29. 7 64. 29. 17 2. 37. 32 1. 25. 59 7. 12. 9 5. 37. 21 4. 48. 39 5. 47. 22 3. 1.37 1.16 12 5.29. 6 7. 12. 11 7. 20. 20 Moon's U. L . Moon's U. L. . . . Procvon Pollux y Aquilae /3 AquiltV Pegasi Moon's U. L. The Moon's U. L. or L. 1.. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (365) Year, , Month, b and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular] N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 35-0 35-0 40-0 36-5 35-0 29-0 37-0 36-0 34-0 35-0 33-0 37-5 36-0 34-0 32-0 30-0 29-0 27-0 44-0 42-0 42-0 40-0 39-0 33-0 47-0 42-0 41-0 36-0 36-0 36-0 34-0 36-0 / // 0. 53-77 1.42-10 0. 36-37 0. 7-08 0.45-16 0.42-61 0. 37-24 0. 38-09 0. 45-78 0. 26-15 0. 33-28 0. 33-50 1. 16-55 0. 44-71 0. 31-64 0. 7-13 0. 45-49 0.45-71 0. 38-39 0. 6-83 0. 24-78 0. 43-64 0. 44-44 0. 6-93 1. 10-80 0.41-19 2. 18-80 0. 35-86 0. 26-05 0. 45-88 0. 59-00 0. 33-35 0. 45-95 n 40-78 0-15 28-84 4-35 0-45 13-78 38-28 15-29 13-16 32-75 30-08 14-10 32-81 30-30 38-50 32-86 30-52 4-72 3-57 39-88 34-24 15-72 34-49 / // 0. 2-82 0. 2-87 0. 2-24 0. 2-76 0. 2-04 0. 2-15 -0. 2-67 0. 1-84 0. 0-89 0. 1-46 0. 3-15 0. 2-49 0. 2-20 0. 1-88 0. 0-83 0. 1-53 * 0. 1-36 -0. 0-52 0. 1-89 0. 1-92 -0. 2-14 0. 2-13 0. 1-96 / a 56. 39-60 57. 36 27 58. 35-04 59. 30-61 61. 0-81 60.54-11 60. 29-64 59. 6-41 56. 45-69 55. 36-84 / */ 37. 53-62 34. 29-04 31. 12-26 28. 32-05 28. 35-86 32.31-16 36. 43-75 44. 59-09 52. 9-99 38. 42-17 // -13-94 13-16 -11-35 8-06 + 8-71 + 13-22 + 15-93 + 17-02 + 12-79 -13-51 O / a 80. 9.36-06 79.54. 7-13 74. 59. 51-43 74.44. 7-03 70.27. 1-71 70.11. 1-25 66.57. 5-79 66.40.50-16 66. 14. 57-21 66. 31. 37-48 70.31. 7-84 70. 14. 29-39 75. 34. 30-71 75. 17. 58-95 87. 39. 36-29 87. 23. 27-26 104.54. 1-64 104.38.31-05 82. 16. 53-28 82. 1. 41-49 V 46-46 46-44 46-43 46-41 46-38 46-37 46-36 46-34 46-31 46-30 Arcturus a. Cveni. . Moon's L. L . . . . Aldebaran Arcturus Moon's L. L. ... a Pegasi a Andromedae . . a, Arietis Moon's L. L. ... a. Aquarii v Pesrasi. . Moon's U. L a, Cygni a, Pegasi y Peuasi . , Moon's L. L . . . . a, Cvgni a Andromedas . . v Pegasi . . Moon's L. L . . . . a Cvgni. . Moon's L. L. ... Aldebaran Moon's L. L. . . . Arcturus a Andromedae. . . v Pesasi . . Moon's L. L. ... a Arietis v Pearasi . , The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (368) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. T.bul. r Ibliquity of Ecliptic. 23. 27'. II 46-31 46-32 40-33 46-36 46-39 40-40 46-57 40-59 46-60 46-61 46-63 1824. Jan. 11 12 13 IS 22 23 24 Feb. 9 10 11 12 14 15 16 O I " 67. 21. 43-60 68.58. 1-20 73. 50. 23-60 67.21.43-35 66. 12. 27-50 73. 50. 23-40 69. 53. 33-50 64. 32. 10 65 98.23. 5-40 61. 32. 34-25 85. 33. 7-30 70.18.14-10 74. 4.51-00 6.49. 0-20 26. 55. 19-70 44. 5. 40-00 67.55. 6-90 26. 47. 23-90 6. 49. 19-30 35.19. 1-40 23. 1.11-80 44. 5.42-30 27. 59. 34-20 31.35. 8-90 23. 1. 8-50 44. 5.41-40 23. 1. 7-80 67.55. 8-20 50. 4.15-30 67. 55. 10-90 O / tf 28. 50. 20 30. 26. 37 35.19. 28. 50. 19 27.41. 4 35.18.59 31. 22. 10 26. 0.47 59.51.41 23. 1. 10 47. 1.43 30-25 30-27 30-27 30-33 30-33 30-33 30-33 30-31 30-20 30-20 30-14 28-76 29-50 29-71 30-40 30-40 30-40 30-12 30-20 30-20 30-20 30-17 30-16 29-35 29-09 29-09 29-48 29-48 29-48 29-40 34-0 34-0 32-0 32-0 31-0 30-0 25-0 27-0 32-5 32-5 35-0 43-0 35-0 43-0 48-0 46-0 46-0 49-0 47-0 42-0 40-0 39-0 38-0 38-0 38-0 38-0 34-0 33-0 33-0 35-0 / a 0. 33-45 0. 35-73 0. 43-24 0. 33-68 0. 32-16 0. 43-51 0. 37-85 0. 30-15 1. 44-48 0. 25-85 1. 4-77 2. 36'97 3. 24-50 0. 7-01 0. 30-12 0. 57-65 2. 25-78 0. 29-61 0. 7-07 0. 42-25 0. 25-45 0. 58-05 0. 31-93 0. 35-94 0. 24-62 0. 56-09 0.25-16 2. 25-29 I. 10-79 2. 24-29 II 15-83 5-25 15-89 5-27 7-76 46-91 58-41 39-59 5-12 3-29 44-70 6-23 57-77 5-22 57-85 5-35 57-83 4-15 4-30 / // 0. 1-22 -0. 1-59 0. 1-14 0. 1-64 0. 3-59 0. 2-97 0. 1-69 + 0. 14-48 + 0. 4-60 + 0. 5-18 + 0. 0-43 + 0. 1-01 + 0. 0-66 + 0. 2-00 + 0. 4-87 + 0. 4-99 + 0. 5-01 + 0. 4-23 + 0. 2-68 t n 58. 19-69 59. 20-56 60. 15-74 60. 30-68 56. 49-42 56. 0-79 58. 52-61 59. 46-78 60. 33-66 61. 6-70 60. 46-94 i a 29. 20-34 27. 21-08 26. 12-36 44. 3-89 53. 20-66 53. 43-37 26. 26-43 26. 43-38 28. 11-99 31.46-91 46.24-14 tf 9-46 5-68 4-32 + 18-14 + 11-56 + 8-59 - 2-91 + 2-37 + 8-01 + 13-01 + 18-66 o / // 68. 29. 24-46 68. 13. 28-20 65.45.42-14 65. 29. 29-25 64. 6.30-64 64. 22. 58-61 84. 50. 23-99 84.33. 51-94 107.59.23-12 107. 43. 50-83 111.46. 22 39 111.31. 3-43 65. 0.51-52 64. 44. 45-46 64. 62. 28-77 64.36. 787 66. 3. 7-82 66. 19.41-56 69.35. 7-10 69. 51. 49-92 87. 50. 49-04 87.34.11-64 Moon's L. L. ... Moon's L. L. ... Moon's U. L. ... Ritrel. . Q Tauri Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... Sirius Moon's L. L. ... a Cveni. . Aldebaran 8 Tauri a Orionis Moon's U. L Moon's U. L. . . . a Orionis j3 Tauri Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb w lich was observed with the Transit. The N. P. for Quadrant Observations is formed by adding Olufsen's !>0 p and q cos. N. P. D to the corrected Quadrant Reading. 90 - p= 38. 31'. 23" -98: q = 8" -65. SECT. II. INVESTIGATION OF MOON'S NOKTH POLAR DISTANCE. (369) i Year, i kloiltll, 1 and , Day. Name of Object. Quadrant Reading. Approx- imate Zenith Distance. Baro- meter. riier- IIIO- ueter. Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. increase of Moon 'a N.P.D. during the Passage of Semi- diameter. Geocentric N.P. D.of U.L. or L. L., and of Center, at Transit of I L. or 2 L. Tabular bliquity of Ecliptic. 3. 27'. 1824. l'eb.18 Mar. 8 9 12 13 14 16 18 19 Apr. 8 9 11 12 13 (3 Tauri O 1 II 23. 1. 9-50 67. 55. 10-20 68. 16. 58-20 26. 48. 47-80 19. 12. 23-60 23. 1.38-10 27.13. 6-00 19. 12. 17-60 23. 1.37-10 19. 12. 18-80 45. 47. 31-70 23. 1.34-50 39. 39. 47-20 23. 1.34-90 45. 57. 33-00 23. 1. 5-50 67.55. 6-20 45. 47. 32-40 53. 8.22-40 65.31.21-50 67.55. 11-20 76. 44. 29-00 44. 5.40-30 67. 55. 12-60 43.21.41-30 38. 38. 30-80 56. 2.37-30 67. 65. 14-60 62. 40. 48-20 67. 55. 10-20 O ' '/ . . * 29-28 29-28 29-30 29-30 29-33 29-33 29-55 29-55 29-55 29-40 29-40 29-40 29-36 29-25 29-25 29-90 29-92 29-93 29-93 29-89 30-13 30-12 30-08 29-80 29-75 29-25 29-25 29-40 29-40 29-65 35-0 35-0 35-0 44-0 44-0 44-0 43-0 42-5 42-0 35-0 35-0 35-0 34-0 35-0 33-0 40-5 39-0 38-0 32-0 44-0 51-0 37-0 48-0 46-0 43-0 35-0 32-0 44-0 44-0 47-0 / // 0. 24-93 a. 23-68 2. 20-42 0. 29-13 0.20-10 0. 24-52 0. 29-96 0. 20-31 0.24-81 0. 20-53 1. 0-52 0. 25-04 0. 48-86 0.24-91 1. 0-81 0.25-17 2. 25-59 1. 1-23 1. 20-38 2. 8-45 2. 23-01 4. 10-14 0. 56-81 2. 22-91 0. 55-33 0. 46-85 1.27-41 2. 21-60 1.51-48 2. 21-90 It 57-81 4-59 6-99 28-02 6-93 27-97 6-78 2-48 27-82 27-77 58-10 6-87 2-51 7-06 6-24 7-19 48-34 7-07 7-02 / if + 0. 3-52 + 0. 4-28 + 0. 3-93 + 0. 5-54 + 0. 9-66 + 0. 6-20 + 0. 8-09 + 0. 7-13 + 0. 8-42 + 0. 8-10 + 0. 7-57 + 0. 8-65 -t-0. 6-75 + 0. 6-42 + 0. 6-26 + 0. 5-25 + 0. 8-63 + 0. 4-44 40. 8-49 / it 58. 6-69 58. 30-74 59. 13-86 60.41-05 60. 42-50 60. 26-27 59. 7-90 56. 24-50 59. 50-15 59. 37-48 59. 13-27 / // 53. 49-45 26. 10-65 26. 52-25 38.30-69 43. 25-46 48. 9-28 53. 38-68 54. 46-14 40. 52-07 49. 15-58 52.26-16 // + 13-30 + 0-26 + 6-33 + 16-90 + 18-20 + 18-22 + 15-01 4-78 + 16-79 +17-11 + 15-78 O ' 1 05. 57. 18-32 05. 41. 24-87 64. 54. 31-07 64. 38. 31-01 65.18. 6-68 65. 34. 18-07 77. 33. 18-47 77. 49. 54-27 83.46.21-30 84. 2.57-48 90. 52. 46-71 90. 36. 14-97 103.11.39-17 102. 55. 28-92 114.25.22-20 114. 9.56-74 1 81.12.56-19 81. 29. 18-04 93.46. 3-11 94. 2.21-47 100.21.30-18 100. 5.18-45 H 46-66 46-74 46-74 46-73 46-73 46-72 46-72 46-70 46-38 46-32 46-29 Moon's L. L. ... Moon's L. L. ... Castor Pollux Moon's U. L. . . . Pollux Pollux Moon's U. L. . . . Pollux Moon's U. L. ... /3 Tauri Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... Sirius Moon's U. L. . . . Moon's U. L Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. for Quadrant Observations is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" -98: q = 8"'5. GREENWICH LUNAR REDUCTIONS. 3(B) (370) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star'sTabularl N.P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.0. during the Passage of Semi- diameter. Geocentric N.P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1824. Apr. 13 14 15 17 IS 19 20 21 May 9 10 16 June 6 7 O 1 tl 59. 21. 8-00 38.38. 31-50 68. 5.10-90 72. 28. 28-80 44. 5.39-60 67.55. 13-60 77.29.41-50 67.55. 8-00 59.21. 6-80 38. 38. 30-80 76.23.21-10 67. 55. 13-80 59.21. 7-90 38. 38. 33-80 73. 36. 36-20 59.21.10-10 38.38.31-40 70.22. 1-00 67. 55. 16-80 67.55.11-10 38. 38. 30-80 59. 52. 44-80 67. 55. 12-20 59.21. 8-80 38. 38. 30-40 65.26. 0-30 35. 54. 42-30 74. 30. 67-40 35. 54. 43-80 63. 46. 56-20 61.41.21-30 68. 42. 10-60 Oil' . . in. 29-67 29-67 29-70 29-74 29-60 29-60 29-76 30-06 30-09 30-09 30-10 30-16 30-16 30-16 30-19 30-17 30-17 30-04 29-81 30-15 30-12 30-08 29-88 29-84 29-84 29-83 29-86 29-89 30-10 30-10 30-05 30-05 o 41-0 39-0 35-0 34-0 48-0 46-0 41-0 48-0 41-0 41-0 34-0 54-0 47-0 45-0 45-0 50-0 48'0 44-0 60-0 58-0 55-0 49-0 63-0 57-0 56-0 51-0 44-0 37'0 65-0 58-0 63-0 61-0 / // 1. 38-80 0.47-12 2. 26-97 3. 7-06 0. 55-90 2.21-96 4. 19-71 2. 23-57 1. 40-20 0. 47'59 4. 5-08 2. 22-28 1.39-19 0.47-31 3. 18-86 1. 38-62 0. 47-03 2.44-17 2. 18-93 2.21-08 0. 46-29 1. 40-61 2. 18-41 1.36-15 0. 45-77 2. 5-84 0. 42-52 3. 32-25 0.41-08 1.56-29 1.45-15 2. 25-35 II 19-74 / tt + 0. 7-77 +0. 7-56 + 0. 7-77 + 0. 4-94 +0. 8-80 + 0. 7-63 + 0. 7-53 + 0. 4-24 + 0. 7-55 + 0. 4-75 + 0. 5-91 + 0. 7-39 + 0. 4-45 + 0. 6-40 + 0. 7-71 + 0. 7-84 + 0. 9-29 + 0. 8-59 + 0. 6-79 + 0. 5-11 + 0. 11-29 / // 58. 38-28 57. 55-67 55. 39-21 55. 2-47 54. 34-99 54. 17-89 58. 43-44 58. 19-75 54. 55-57 58. 2-64 57. 32-74 ' // 54. 14-20 55. 5-25 54. 12-05 53.21-72 52. 13-28 60. 59-43 50. 36-45 52. 52-50 52. 47-42 51. 53-73 53. 27-09 // + 13-50 + 10-40 1-29 - 4-71 7-50 9-59 + 15-69 + 13-98 6-52 + 14-20 + 12-00 O f II 105.45.11-44 105.29. 9-30 110. 8. 14-98 109. 52. 24-54 115. 11. 23-52 114. 56. 10-47 114. 5.35-25 113.50.32-28 111.19. 6-91 111.34. 2-35 108. 5. 8-74 108. 19.59-49 97.35. 571 97.51. 926 103. 6.34-17 103.22.31-22 112.13. 9-75 112.28.10-82 101.28. 18-74 101.44.11-10 106. 22.31-71! 106.38. 15-91 // 40-26 46-25 46-18 46-15 46-12 46-09 45-57 45-54 45-36 44-89 44-87 1 48-24 Moon's L. L. ... Moon's L. L. ... * 6' 14 693 6-80 19-80 47-98 6-75 19-81 47-92 19-80 47-88 6-61 5-01 46-86 4-88 19-41 46-82 53-27 51-64 43-26 Moon's L. L. ... Sirins Moon's L. L. ... a Hydrae Regulus Moon's U. L. ... Regulus Moon's U. L. . . . Sirius Regulus Moon's U. L. . . . Sirius Regulus Moon's U. L. . . . j3 Leonis Moon's U. L. . . . (3 Leonis Moon's U. L. . . . Spica Moon's U. L The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D for Quadrant Observations is formed by adding Olufsen's yO' p and q cos. N. P. D to the corrected Quadrant Reading. yO - p= 38. 31'. 23" '98: q = 8"'65. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (371) Year, [Month, | and Name of Object. Quadrant Approx- imate Zenith Baro- meter. Ther- mo- Refrac- tion. <*. 11 cr-'o. O on . -"z Correction for Tabular Horizontal Equatoreal Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit Tabular blnjuity of Ecliptic. i Day. Reading. Distance. meter. x tn Index Error. Parallax. diameter. oflL.or2L. 3. -IT. ,824. |(une 7 a Libras O 1 II 66. 44 46-00 o / w 30-05 o 59-0 / H 2 12-49 n 33-80 r tf + 0. 9-05 / a / " a / II H g Spica 61.41 20-30 29-98 57-0 1 46-18 43'23 + 11-23 Arcturus 31 21 54'60 29-98 54-0 35-21 1-39 + 10-57 11 Moon's U. L. . . . a Libras 72.38.39-10 66. 44. 41-40 29-98 30-05 54-0 47-0 3. 2-68 2.15-86 33-72 + 0. 10-20 57. 1-86 54. 16-88. + 9-13 110. 18. 53-65 110.34.29-34 44-85 a Serpentis 44. 28 30-90 30-08 46-0 0.57-80 2-33 + 0. 10-70 Antares 77. 26 12-40 30-10 45-0 4. 19-26 8-92 + 0. 9-48 12 Moon's L. L. ... Spica 77. 12. 35-70 61.41 16-70 30-10 30-06 42-0 52-0 4. 16-34 1. 47-54 43-06 + 0. 13-30 55.29-17 53. 58-61 2-02 114.54.29-16 114.39. 18-87 44-80 Arcturus 31.21. 52-20 30-06 51-0 0. 35-52 0-86 + 0. 12-13 a. Libras 66. 44 40-50 30-06 49-0 2. 15-33 33-70 + 0. 11-61 15 16 Moon's U. L. . . . Moon's U. L. ... Spica 75.20.15-10 65. 11.23-10 61. 41 22-30 30-03 29-41 29-55 43-0 48-0 57-0 3. 42-55 2. 3-45 1.44-65 42-89 + 0. 10-42 55. 1-66 54. 10-95 53. 5-70 49. 1-15 - 5-40 11-42 113. 2.26-27 113.17.29-01 102.55.51-12 103. 10. 39-97 44-79 44-75 Arcturus 31 21 55-00 29-55 55-0 34-64 0-34 + 0. 9'69 a Libras 66. 44. 42'10 29-56 54-0 2. 11-72 33-62 + 0. 13-54 July 7 a Serpentis 44 28 31-40 29-80 61-0 0. 55-54 59-18 + 0. 9-31 Antares 77 26 18-40 29-80 60-0 4. 8'79 9-56 + 0. 14-59 s Moon's U. L Arcturus 76. 27. 47-90 31 21. 54-90 29-80 29-95 60-0 69-0 3.51-00 0. 34-14 58-03 + 0. 7-98 55. 53-60 54. 12-01 + 3-01 114. 9. 3-35 114.24.20-34 44-62 a Serpentis 44. 28. 32-30 29-96 65-0 0. 55-40 59-07 +0. 8-44 a Herculis 36. 51. 56-10 29-98 61-0 0. 42-70 8-26 + 0. 7-66 11 Moon's TJ. L. . . . 76. 53. 15-50 31 22 0-60 29-98 ''g-ge 61-0 70-0 3. 59-41 34-09 57-83 + 0. 2-13 55.23-88 53. 48-93 0-74 114.35. 2-33 114. 50. 11-17 44-62 a Coronas Borealis a Serpentis 24. 9.30-00 44 28. 35-10 29-96 29'96 67-0 67-0 0. 25-23 0. 55-18 17-12 58-77 + 0. 1-88 +0. 5-55 12 Moon's U. L a Coronas Borealis a Serpentis ..... 70. 43. 10'20 24. 9.25-50 44 28. 32'70 30-01 29-91 29-95 58-0 67-0 66-0 2. 42-43 0.25-19 0. 55-27 16-99 58-67 + 0. 6-29 + 0. 7-77 54. 19-31 51. 7-47 9-41 108.26. 5-66 108. 40. 56-80 44-62 77 26 22'70 29-98 64-0 4. 8'27 i 9-63 + 0.10-89 13 Moon's U. L. ... a Coronas Borealis a Serpentis 66.47. 5-80 24. 9.27-30 44 28 33-70 29-96 29-98 29 - 98 62-0 74-0 73-6 2.11-62 0. 24-90 0. 54-52 I 16-86 58-58 + 0. 4-65 -}-0. 7-43 54. 7-49 49. 35-00 10-92 104.31. 5-97 104. 45. 53-87 44-63 Antares 77. 26 32-10 29-98 71-0 4. 4-82 9-64 + 0. 4-94 Moon's U. L. . . . 62. 16. 11-60 29-96 62-0 1.47-62 54. 1-88 47. 39-47 11-98 100. 1.38-93 100. 16.25-29 44-63 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. for Quadrant Observations is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38.3l'.23"-y8t q = 8"-65. 3 (B)2 (372) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Quadrant Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter Refrac- tion. Seconds of Star's Tabular N. P. D. Correction for Index Error. Tabular Horizonta Equatoreal Parallax. Parallax. Increase of Moon* s N.P.D. durinpthe Passage of Semi- diameter. Geocentric N.P.D. of U. L or L. L., and of Center, at Transi of 1 L.or2L. Tabular Obliquity of Ediptic. 23, 27'. 1824. July 15 16 . 17 Aug. 2 5 7 9 11 12 13 15 16 18 31 aCoronae Boreali O ' /' 24. 9.26-30 44. 28. 33-70 36.51.54-70 52.15. 6-70 47. 5. 13-50 24. 9. 24-60 44.28.27-90 38. 45. 51-70 76.51.43-50 36.51.45-30 38. 45. 51-70 72. 20. 37-70 77. 26. 28-40 36.51.45-70 38.45.51-70 63.52.21-60 36.51.47-90 38. 45. 52-90 54. 3. 2-40 36.51.45-70 48. 54. 17-50 43. 49. 49-70 38.45.49-70 34. 39. 32-60 36. 51. 46-90 38. 45. 50-00 31.21.50-40 38.45.51-70 12. 50. 32-90 27. 1.4J-70 76. 32. 53-40 / ' . . . . 29-94 29-94 29-94 30-00 30-00 30-19 30-19 30-00 29-65 29-84 29-85 29-8(5 29-70 29-70 29-71 29-71 29-70 29-70 29-70 29-73 29-78 29-82 29-48 29-59 29-75 29-75 29-53 29-53 29-55 29-70 29-87 o 67-0 '66-5 64-0 60-0 56-0 63-0 62-0 60-0 59-0 61-0 60-0 59-0 65-0 63-0 62-0 55-0 65-0 64-0 58-0 63-0 56-0 59-0 54-0 52-0 60-0 59-0 64-0 52-0 54-0 57-0 69-0 / // 0.25-21 0. 55-20 0. 42-39 1. 13-65 1. 1-87 0. 25-63 0.56-16 0. 45-84 3. 57-29 0. 42-49 0. 45-62 2. 56-91 4. 5-48 0. 42- 13 0. 45-22 1.55-95 0.41-96 0. 45-03 1. 18-13 0.42-17 1. 5-45 0. 54-57 0. 45-60 0. 39-57 0. 42-45 0. 45-55 0. 33-99 0. 45'86 0. 12-98; 0. 29-02 3.48-77 a 16-59 58-38 7-12 16-32 58-18 12-67 4-00 12-05 9-67 3-82 11-85 3-62 11-65 3-53 11-25 3-15 11-14 56-97 / // + 0. 5-07 + 0. 6-55 + 0. 8-23 + 0. 6-08 + 0.11-19 + 0.13-05 + 0.14-41 + 0.12-65 + 0. 8-01 + 0. 14-19 + 0.12-85 + 0.11-96 + 0.11-64 + 0. 13-86 +0. 13-87 + 0. 12-00 + 0. 13-51 + 0.11-58 + 0. 11-32 + 0.10-69 r II 54. 13-08 54. 32-01 55. 1-33 54. 18-34 53.58-93 54. 2-56 54. 14-03 54. 32-69 55. 34-35 58. 4-62 56.10-18 i it 42.41-13 39. 44-81 53. 26-93 51.36-28 48. 18-09 43. 34-04 40. 40-92 37. 34-64 31.23-86 26. 10-55 54. 29-25 ff -12-79 12-73 3-10 8-62 11-54 12-69 12-66 -12-28 10-42 1-62 + 1-74 f a 90. 4.57-04 90. 19. 46-47 84. 57. 49-55 85.12.44-17 114.33.57-91 114. 18.55-26 110. 3.47-43 109. 48. 56-56 101. 37. 36-86 101.52.22-41 91.52. 10-55 92. 6.57-10 86.46. 5-35 87. 0.55-03 81.44.33-21 81.59.28-01 72. 40. 12-42 72.55.24-13 65. 7.30-09 65. 23. 2-2-90 114. 13.47-67 114.29. 9-20 a 44-64 1 44-64 44-79 44-82 44-84 44-86 44-87 44-88 44-90 44-92 45-00 a Herculis .... Moon's U. L. ... Moon's U. L . aCoronae Boreali a. Serpentis a Opbiuchi Moon's L. L. ... a He.rculis a Ophiuchi Moon's L. L. ... Antares a Herculis a Ophiuchi Moon's U. L. () a Ophiuchi Moon's U. L. . . . a Herculis Moon's U. L. . . . Moon's U. L. . . . a Ophiuchi Moon's U. L. . . . a Herculis a Ophiuchi Arcturus a Ophiuchi 10-96 15-15 a Lyrae Moon's U. L. . . . Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. \). for Quadrant Observations is formed by adding Olufsen's 90 p and q cos. N. f. D. to the corrected Quadrant Reading. II 84. 0.44-05 109.27. 1-80 103. 0.55-05 81.34.37-80 84. 0.44-00 103. 0. 55-00 105. 37. 15-00 81.34.36-20 84. 0.45-60 103. 3. 10-90 101. 12.59-00 77. 10. 31-75 81. 34. 38-60 84. 0.47-10 76. 9.11-65 79. 47. 49-30 81.34.36-40 84. 0.44-55 68. 50. 47-25 81.34.37-35 61.52.22-30 75. 46. 55-60 66. 43. 20-75 65. 56. 27-00 81. 34. 34-50 61.52.20-40 75. 46. 53-40 66.39. 11-10 75. 43. 33-60 61. 52. 20-70 75.46.51-70 69. 25. 15-25 75.46.50-10 73. 3.15-60 o / " 45. 28. 56 70. 55. 14 64.29. 7 43. 2.50 45. 28. 56 64.29. 7 67. 5.27 43. 2.48 45. 28. 68 64.31.23 62. 41. 11 38. 38. 44 43. 2.51 45. 28. 59 37. 37. 24 41.16. 1 43. 2.48 45.28.57 30.18.59 43. 2.49 23. 20. 34 37. 15. 8 28.11.33 27. 24. 39 43. 2.47 23. 20. 32 37. 15. 5 28. 7.23 37.11.46 23. 20. 33 37.15. 4 30. 53. 27 37.15. 2 34. 31. 28 in. 29-21 29-21 29-21 29-46 29-46 29-46 29-46 29-77 29-77 29-77 29-77 29-25 29-33 29-33 29-38 29-54 29-54 29-54 28-96 28-91 28-87 28-87 28-82 29-18 29-41 29-43 29-43 29-45 29-55 29-55 29-55 29-53 29-64 29-73 51-0 51-0 51-0 51-0 51-0 51-0 51-0 54-0 54-0 54-0 52-0 56-0 57-0 57-0 54-0 55-0 55-0 55-0 50-0 49-0 47-0 47-0 45-0 38-0 39-0 36-0 36-0 32-0 42-0 42-0 42-0 33-0 36-0 29-5 / // 0. 57-54 2. 42-18 1. 58-07 0. 53-31 0. 58-03 1. 59-08 2. 14-31 0. 53-54 0. 58-29 1. 59-80 1.51-07 0. 44-87 0. 52-43 0. 57-08 0.43-62 0. 49-82 0. 53-02 0. 57-72 0. 32-90 0. 52-53 0. 24-36 0.42-90 0. 30-32 0. 30-14 0. 54-55 0. 25-40 0. 44-74 0. 31-74 0. 44-28 0.25-19 0.44-36 0. 35-56 0. 45-06 0.41-46 // 17-35 29-12 4-43 17-33 29-13 4-41 17-30 46-93 49-31 4-33 17-26 15-04 4-33 17-26 4-32 22-16 12-84 4-32 21-85 12-67 52-82 21-69 12-59 12-51 ' 0. 24-24 0.24-00 0.26-68 0. 24-70 0. 24 95 0. 25-33 0. 26-59 0.23-77 -0.27-31 0. 26-70 0. 26-92 0.24-08 0.25-09 0. 25-01 0. 25-56 0. 24-50 0. 25-66 0. 24-73 0. 23-95 0. 25-47 0. 25-06 0. 24-20 0. 23-47 0. 22-65 / a 54.28-71 54. 12-11 54. 5-28 55. 11-99 56. 7-07 56. 38-66 57. 12-49 57.48-46 58. 25-35 59. 1-71 / // 51. 20-33 49. 46-30 47. 53-63 33. 29-67 28. 7-07 26. 32-98 26. 7-43 27. 2-02 29. 46-72 33. 14-28 ti 9-13 10-67 -11-68 11-10 - 7-18 3-99 0-09 + 4-17 + 8-35 + 11-98 O 1 " 108.38. 8-88 108. 23. 15-71 104.49.28-24 104. 34. 39-60 100. 26. 42-89 100.11.56-12 75. 35. 47-52 75. 50. 52-52 68.22.41-17 68.38. 1-22 66. 16. 48-86 66. 32. 17-53 65. 30. 24-66 65.46. 2-57 66. 12. 20-27 66.28. 8-00 68. 55. 48-20 68. 39. 50-38 72. 30. 30-30 72. 14. 22-55 44-83 44-81 44-81 44-72 44-69 44-65 44-63 44-61 44-59 44-56 Moon's L. L. ... a 1 Capricorni . . . a, Aquilae j3 Aquilae ' Capricorn! . . . Moon's L. L. ... a Aquilae /3 Aquilae a 2 Capricorni. . . . Moon's L. L. ... a Aquilae Moon's U. L. . . . (3 Aquilae Moon's U. L. . . . a Aquilae a Andromedae. . . y Pegasi Moon's U. L. . . . Moon's U. L. . . . a Aquilae a Andromedae. . . Moon's U. L. . . . a Andromedae . . rPeirasi . . Moon's L. L. ... v Peo'asi . , Moon's L. L. ... The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (375) Year, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- neter. Refrac- tion. Seconds of Star's Tabular N.P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1824. )ct. 16 29 30 ^ov. 2 3 4 5 7 11 12 14 15 Dec. 1 3 5 a Opbiuchi O / /' 77.17.49-10 81.34.34-15 68. 24. 44-10 52. 36. 58-70 49. 34. 35-90 o t n 38.46. 1 43. 2.46 29-81 29-83 29-45 29-99 29-42 29-67 29-65 29-71 29-71 29-78 29-78 29-83 29-76 29-74 29-90 30-03 o 43-0 40-0 51-0 43-0 50-0 46-0 46-0 43-0 42-0 37-0 34-0 54-0 53-0 40-0 40-0 44-0 45-0 39-0 38-0 36-( 37-0 35-0 35-0 34-0 34-0 34-0 34-0 31-0 29-0 / // 0. 47-16 0. 55-22 2. 23-26 1. 17-23 1. 7-02 1. 15-93 0.57-16 0. 54-65 0. 44-51 0. 45-08 0. 41-83 0. 53-65 0.31-69 0. 39'05 0.36-15 0. 44-80 0. 44-01 1. 8-17 0. 45-41 1. 26-33 0. 44-45 0.44-75 0. 52-42 0. 45-03 0.45-12 0. 39-03 0. 25-79 0.33-15 0. 32-17 n 10-56 4-34 51-46 51-58 4-97 51-98 51-95 5-16 9-96 51-96 11-41 11-42 52-47 11-64 52-56 11-69 17-73 59-09 / " 0. 25-70 0. 25-03 + 0.11-38 + 0. 10-60 + 0. 11-51 + 0. 12-82 + 0. 13-62 + 0. 9-50 + 0. 9-10 + 0. 14-91 + 0. 10-94 + 0.13-55 + 0. 11-37 + 0. 12-73 + 0.14-58 + 0. 12-41 + 0.13-94 + 0.13-19 / // 54. 33-54 54. 28-83 54. 49-61 55. 45-94 56. 49-84 58. 36-63 59.22-51 59. 27-66 55. 1-79 56. 14-20 57.36-14 i a 50. 35-17 41. 17-24 38. 16-88 31.45-62 27. 13-84 32. 8-64 44. 40-46 48. 36-79 36. 24-50 30. 40-92 26. 49-42 n 10-28 12-52 12-27 10'29 5-18 + 10-90 + 16-37 + 16-40 -11-79 9-19 3-01 o in 106. 8.20-23 105. 63. 25-20 87. 26. 12-78 87.11.19-03 82. 28. 34-84 82. 13. 35-39 72. 59. 12-70 73. 14. 27-59 66.57. 7-36 67. 12. 39-77 71. 30. 58-66 71. 14. 56 98 86. 54. 18-24 86.38. 3-99 92.54.50-81 92.38.35-15 79. 38. 6-78 79.23. 4-00 71.20.42-91 71. 5.20-27 66. 4. 59-50 66. 20. 44-60 // 44-20 44-08 44-05 43-99 43-93 43-81 43-71 43-68 43-28 43-22 43-18 Moon's L. L. ... a Aquarii Moon's L. L. ... 52.37. 0-90 44.34. 7-80 43. 2.36-10 37. 11. 32-80 37.11.31-40 S4. 58. 32-10 43. 2.39-30 28. 52. 24-60 33. 30. 44-10 31.22. 3-70 37.11.30-40 37. 14. 54-60 49. 5.58-40 37. 14. 50-60 55.10. 8-20 37.11.34-80 37. 14. 52-30 41. 41. 52-60 37.11.31-10 37. 14. 52-30 33.19. 0-90 23.20. 18-10 28.49.52-10 27. 69. 39-70 Moon's L. L. a Pegasi a Pegasi Moon's U. L. . . . Moon's U. L. . . . Moon's L. L. v Pearasi . . 29-50 29-75 30-00 30-10 29-36 29-38 29-38 29-56 29-56 29-57 29-76 29- 80 29-82 Moon's L. L. ... *v Peeasi . Moon's L. L. ... a Pegasi Moon's L. L. ... a Pegasi y Pegasi Moon's L. L. ... a Andromedae. . . Moon's U. L. . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. for Quadrant Observations is formed by adding Olufsen's 90 p and q cos. N. P. D. to the corrected Quadrant Reading. 90 - p = 38. 31'. 23" -98 : q = 8" '65. (37G) REDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Montli, and Day. Name of Object. Quadrant or Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular! N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of St mi- diameter. Oeocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L.or2L. Tabular Obliquity Ecliptic. 23. 27'. 1824. Dec. 7 8 10 11 26 29 30 31 1825. Jan. 1 2 4 5 7 ' ' 37. 14. 53-40 28. 49. 55-30 29. 30. 55-00 32.21.53-80 37. 14. 49-60 41.40.36-60 28. 49. 53-50 47. 25. 40-60 53. 34. 20-30 28. 49. 48-30 48. 3.22-50 39. 7.31-80 28. 49. 47-30 48. 3. 18-90 34. 59. 53-00 31. 35. 54-30 37. 14. 49-00 28. 49. 49-30 27. 37. 45-00 73. 50. 35-25 44.11.37-40 61.32.50-40 69. 24. 53-90 82. 37. 27-00 73. 8. 4-60 69.54. 7-10 83. 0.33-50 67.21.49-15 83. 49. 45-05 62.41.38-30 o / // . . . . . 35. 19. 16 5.40. 18 23. 1.31 30. 53. 35 44. 6. 8 34. 36. 46 31.22.48 44. 29. 15 28. 50. 30 45.18.26 24. 10. 19 29-53 29-60 29-60 29-62 29-93 29-97 30-04 30-04 29-83 30-03 30-03 30-10 30-11 30-11 30-19 30-03 30-03 30-00 30-00 30-22 30-25 30-25 30-30 30-53 30-53 30-56 30-56 30-38 30-55 30-61 o 38-0 37-5 35-0 40-0 33-0 35-0 44-0 45-0 42-0 38-0 38-0 33-0 33-0 33-0 45-0 49-0 50-0 39-0 39-0 37-0 37-0 36-0 35-0 34-0 33-0 27-0 28-0 45-0 42-0 35-5 / // 0. 44-70 0. 32-48 0. 33-58 0. 37-22 0. 45-78 0. 53-44 0. 32-52 1. 4-11 1. 19-68 0. 32-92 1. 6-48 0. 49-25 0. 33-35 1. 7-34 0. 41-48 0. 35-96 0. 44-34 0. 32-82 0.31-21 0. 42-72 0. 5-99 0.25-71 0. 36-33 0. 59-38 0. 42-40 0. 3T99 1. 1-01 0.32-84 1. 0-94 0.27-51 // 11-84 59-06 11-97 59-02 59-11 5-28 59-18 5-52 13-33 59-29 59-78 22-08 57-99 4-40 24-15 12-01 59-46 41-83 / // +0.11-88 + 0. 10-63 + 0.14-73 + 0. 12-35 + 0.17-24 + 0. 12-83 * +0. 17-88 + 0.15-81 + 0.18-14 + 0. 16-52 0.18-19 0.21-31 0.18-12 0. 21-98 0. 20-94 0.22-50 -0. 22-53 0. 23-98 / a 58. 42-85 59. 4-27 59. 21-02 59. 18-07 54. 10-33 55. 1-60 55.39-31 56. 24-95 58. 6-85 59. 34-08 60. 0-97 60. 10-72 / u 28. 42-53 31. 24-20 39. 15-04 43. 27'86 43. 24-42 34.31-42 31.42-99 29.21-08 26. 44-05 30. 21-87 33. 52-24 42. 34-07 n + 6-01 + 10-15 + 15-26 + 16-17 12-34 11-09 9-83 7-83 0-82 + 8-56 + 12-54 + 16-61 o / // 67. 34. 24-60 67.18.21-21 70. 22. 49-30 70. 6.40-04 79.34. 6-21 79. 17. 52-36 85.15. 9-82 84. 58. 56-78 91.24. 7-13 91. 9.18-45 77. 5.39-62 76. 50. 36-89 73. 0.39-75 72. 45. 26-68 69. 38. 54-96 69. 23. 29-39 65. 43. 10-73 65.59. 4-24 68.54.49-15 68. 38. 32-56 72. 34. 45-49 72. 18. 21-56 83. 8. 5-45 82.51.38-76 U 43-14 43-12 43-09 43-07 42-90 42-89 42-89 42-89 42-88 42-89 42-89 ' 42-89 Moon's L. L. ... Moon's L. L. ... Moon's L. L. ... a Arietis Moon's L. L. ... Moon's L. L. ... * Arietis a Ceti Moon's L. L. ... a Arietis a Ceti Moon's L. L. . . . Moon's L. L. ... v Pecasi . Moon's U. L. . . . Aldebaran j3 Tauri Moon's L. L. . ( a ) Moon's L. L. ... and Day. Name of Object. , Circle Reading. Approx- imate Zenith Distance. Baro- meter. fher- mo- meter. Refrac- tion. U..S O 3 . m K* & Correction for Index Error. Tabular Horizontal Rquatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit ofl L. or2L. Tabular Obliquity of Ecliptic 23. 27'. 825. >m. 7 8 11 23 24 25 28 29 Feb. 1 a Serpentis ' // 83. 0. 35-00 07.21.48-40 8(5. 35. 20-55 73. 50. 38-15 89. 56. 54-20 106. 42. 43-25 69.54. 10-10 98. 23. 25-70 82. 37. 29-30 75. 46. 53-35 84. 14. 20-35 75.46.27-75 79. 33. 40-70 67.21.24-30 73. 50. 14-20 75. 46. 29-65 07.21.27-00 68. 48. 28-00 73. 50. 15-50 67. 6. 46-45 61 32. 27-50 84.19. 6-40 61.33. 1320 67. 6.50-10 61.32.35-40 84. 19. 14'65 61. 33. 16-80 73. 50. 20-45 61. 32. 33-45 70.27.24-07 81.34.22-07 73.50.32-15 61.32.44-70 70. 27. 34-77 81.34.35-00 o / //, 44. 29. 16 28. 50. 29 48. 4. 2 35. 19. 19 51. 25. 35 68.11.24 31. 22. 51 59.52. 7 44. 6. 10 37. 15. 34 45.43. 1 37. 15. 9 41. 2.22 28.50. 5 35. 18. 55 37. 15. 11 28.50. 8 30.17. 9 35.18.57 28. 35. 27 23. 1. 9 45. 47. 47 23. 1 . 54 28. 35. 22 23. 1. 7 45. 47. 47 23. 1 . 49 35. 19. 1 23. 1. 14 31.56. 5 43. 3. 3 35. 18.58 23. 1.11 31.56. 1 43. 3. 1 in. 30-61 30-70 30-70 30-70 30-71 30-57 30-57 30-04 30-04 29-85 29-85 29-70 29-70 29-74 29-80 30-50 30-53 30-58 30-58 30-55 30-54 30-50 20-50 30-55 30-54 30-50 30-50 30-10 30-10 30-20 30-28 30-10 30-10 30-20 30-28 1 35-5 37-0 37-0 34-0 37-0 32-0 31-5 34-5 34-5 38-0 38-0 38-0 38-0 36-0 34-0 42-0 40-0 38-0 36-0 34-5 35-0 32-0 32-0 345 35-0 32-0 32-0 40-0 40-0 38-0 36-0 40-0 40-0 38-0 36-0 / // 1. 0-1J 0. 33-74 1. 8-13 0. 43-68 1. 16-73 2. 33-03 0. 37-64 1. 43-51 0. 58-36 0. 45-20 1. 0-90 0. 44-96 0.51-46 0. 32-74 0. 42-39 0. 45-80 0. 33-33 0. 35-57 0. 43-32 0. 33-40 0.26-01 1. 3-19 0.26-15 0. 33-40 0. 26 00 1. 3-19 0.26-15 0. 42-28 0. 25-37 0. 37-48 0. 56-53 0. 42-28 0. 25-37 0. 37-48 0. 56-53 rr 12-42 59-50 6-29 59-90 25-47 45-79 5-85 15-44 15-54 0-46 0-48 15-84 0-65 0-55 57-24 11-79 41-08 57"24 11-79 41-08 0-68 57-19 16-3-2 0-68 57- 19 16-32 / '/ 0. 22-73 0. 22-64 0. 22-39 0.21-93 0. 22-27 0. 23-42 0.21-81 -0.23-11 + 0. 2-83 + 0. 3-42 + 0. 3-87 + 0. 0-39 + 0. 0-32 + 0. 1-73 < + 0. 373 + 0. 2"20 + 0. 1-73 0. 4-1(5 0. 6-05 0. 1-87 0. 2-05 0. 1-63 0. 2-28 -0. 13-75 0. 12-88 0.15-21 / 59.55-10 58. 24-4-2 54. 10-59 54. 26-99 56. 17-54 57.12-10 57. 12-10 59. 59-90 59. 59-90 / It 46. 38-53 54. 3-56 38. 35-66 35. 33-27 28. 10-88 27. 9-77 27. 9-77 31. 30-82 31. 30-82 n + 16-81 + 12-34 11-79 11-10 - 6-16 - 2-87 2-87 + 10-61 1 + 10-61 O / " 89. 11. 26-89 88. 55. 4-56 105.61. 2-79 105.35. 5-23 83. 36. 34-60 83.21.4637 78. 59. 13-42 78.44.20-72 68. 20. 59-66 68. 5.36-76 66. 40. 15-50 66. 24. 37-70 66.40. 14-57 66. 24. 36-77 69. 56. 18-13 70. 12.41-77 69. 56. 16-88 70. 12.40-52 // 42-89 42-90 42-99 43-00 43-03 43-04 43-04 43-07 43-07 a Arietis a Ceti Aldebaran Moon's L. L . . . . Moon's L. L. ... Arcturus Ris?el a, Orionis y Pegasi Moon's L. L. ... Moon's L. L. ... a Arietis Aldebaran Moon's L. L . . . . Aldebaran (T) Moon's L. L ma Tauri . . (T) Frocvon. . . . (T) Pollux (J) Moon's L. L. (J) /3 Tauri (J) Procy, on. . . . (J) Pollux (T) Aldebaran . . (T) /3 Tauri (T) Moon's U. L (T) Aquilae . . . (J) Aldebaran . . (J) 8 Tauri (J) Moon's U.L. (J) a. Aquilas . . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 1825. Jan. 29 and Feb. 1. On each of these days, the mean of the two determinations of N. P. D. of Moon's Center by Troughton and Jones is used for the computation of Longitude and E. N. P. D. in Section III. GREENWICH LUNAR REDUCTIONS. 3(C) (378) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zcnitli Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of Star's Tabular N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax, j I ncrcase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. . __ Tl)u)r Obliquity nt Ecliptic. -'3. >:'. o / o / // in / ii H / n / // / n n 1825. | Fel). 2 (T) Moon's. L. L. 75. 22. 57-40 36. 51. 38 29-67 47-0 0. 43-47 60. 38-23 36. 9-15+14-31 74.47.18-91 74. 30. 44-80 43-08 3 (T) Procyou . . . 84. 19. 9-80 45. 47. 51 29-43 35-0 1. 0-59 12-20 + 0. V81 (T) Pollux 61. 33. 13-80 23. 1.56 29-43 35-0 0. 25-08 40-83 + 0. 1-95 (T) Moon's L. L. 80. 52. 30-05 42.21.11 29-38 35-0 0. 53-64 60. 59-68 40. 52-41 + 16-69 80. 12. 49-47 79.56. 9-51 43-09 ('I') a Aquilae . . . 81. 34. 19-95 43. 3. 1 29-55 30-0 0. 55-87 16-57 + 0. 0-75 4 (T) a. Arietis . . . 67.21.26-15 28.50. 7 29-60 31-0 0. 32-94 1-21 + 0. 2-12 (T) Capella 44.11. 12-65 5. 39. 54 29-60 30-0 0. 5-94 18 -.94 + 0. 0-35 (T) Procyon . . . 84. 19. 10-80 45. 47 52 29-57 29-5 1. 1-00 12-28 0. 0-12 (T) Moon's L. L. 87. 2.29-05 48.31.10 29-54 29-0 1. 7-74 61. 1-07 45.30-15+17-66 86. 1S.2.V08 86. 1.44-74 '43-10 The Moon's U. L, or L. L. was usually observed when tbe Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was obserred with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (379) Yenr, Month, Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.l Refrac- Tabular Jorizontal Squatoreal Parallax. Increase of Moon's N.F.D. during the Geocentric N. P. D. of U. L. Tabular Obli- uity of Scliptic. or L. L., and of mo Day. Troughton. Jones. T. J. T. J. meter. u 4 J3 tion, Parallax. Semi- diameter. Center, at Transit of 1 L. or 2 L. 3.27'. 1825. O'l t jr O'l U in. ' // 1 N / // /; o r it // Way 28 Moon's U.L. . 104. 29. 7'30 12-88 65. 57. 47-16 47-04 29-78 44-0 2. 10 '60 59. 48-53 54. 26-72 + 13-36 103. 36. 39-55 103.53. 0-08 41-60 A returns. . . . 19-40 25-10 a Cor. Bor. . . 20-05 25-75 a Serpentis. . 19-45 25-15 a Lyrae 21-65 27-35 30 A returns .... 19-80 25-90 Moon's U.L. . 111.58.10-88 13-98 73. 26. 51-08 48-08 30-10 44-03. 16-67 59. 19-37 56. 42-47 + 6-84 111. 4.38-87 111.20.51-44 41-56 a, Lyrae 18'95 25-05 . a Aquilse .... 20-05 26-15 aCygni 20-40 20-50 31 Arcturus. . . . 20-45 26-55 a Cor. Bor. . . 21-35 27-45 a, Serpentis . . 20-05 26-15 Moon's L.L. . 114. 7.32-2137-33 75.36. 11-78 10-80 30-32 43-0 3. 48-90 58. 4T51 56. 47-94 + 2-38 113. 14.34-1& 112. 58. 30-33 41-53 a Aqnilee. . . . 19-85 25-95 unc 2 Moon'sU.L. . 112.11.19-4024-98 73. 39. 59-34 58-82 29-69 53-0 3. 13-02 57. 22 11 54. 54-10 5-92 111.19.34-01 111.35. 14-55 41-49 4 a Draconis . . 20-00 26-10 Arcturus. . . . 19-20 25-30 a Cor. Bor. . . 20-25 26-35 Moon's U.L. . 105. 54. 54-07 59-70 67. 23. 34-01 33-54 29-33 45-02. 17-36 55.52-14 51.24-81 -10-58 105. 5.37-68 105. 20. 53-65 41-45 a Cveni . . 20-80 26-90 5 Arcturus. . . . 20-35 26-55 a Cor. Bor. . . 19-45 25-65 a Cvsrni . . 19-80 26-00 6 a Cor. Bor. . . 19-65 25-65 Moon'sU.L. . 97. 3. 18-38 23-75 58. 31. 58-57 57-79 29-87 52-01.34-16 54. 44-42 46. 30-80 11-98 96. 18. 11-49 96.33. 8-96 41-41 25 Moon'sU.L. . 107.24. 8-85 18-43 68. 52. 50-47 50-35 29-70 57-0 2.26-13 59. 4-66 54. 56-47 + 11-28 106. 31. 30-72 106.47.39-26 41-18 a Serpentis . . 19-1028-80 ? Aquilae 17-4027-10 a. Aquilse .... 18-25 27-95 a. Cviini. . 18'75'2R-4ft 27 Moon'sU.L. . 113. 6.48-40 57-83 74. 35. 30-02 29-35 29-79 52-5 3. 25-79 58. 27-47 56. 12-30 + 4-11 112.14. 1-00 112.29. 59-3941-17 a Lyrse 18-8528-95 B Lyra. . 19-20 29-30 Aquilae 17-5527-65 a Aquilae 17-90 28-00 28 Moon'sU.L. . 113. 48. 13-76 2-2-67 75. 16. 55-92 55-33 29-67 53-0 3. 34-51 57. 59-31 55. 56-22 0-20 112.55.56-05 1 113. 11.46-74 41-16 The Moon's U. L. or L. L. was usually observed when the Center WHS passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, arc those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. 1825. May 31. Moon's L. L. The correction for increase of N.P. D. during the passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. 3(C)2 (380) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, und Day. Name of Object. Circle Reading;. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.] Refrac- tion. Tabular Horizontal Eqnatoreal Parallax. Parallax. Increase of Moon's N.P.O. during the Passage of Semi- diameter. Geocentric N. I'.O.of U. L. or L. L., and of Center, at Transit of I L. or 2 L. 1' abular Obli. quity of Elliptic. 23.i/'. Trougbton. Jones. T. J. T. J. o ' " a /r n o / " n in. o . // i n / a // O / it it 1825. June 28 a. Herculis. . . 17-90 27-40 x Opbiuchi . . 17-40 26-yo Aquilae . . . . 18-00 28-10 a. Aquilae .... 17-45 26-95 29 a. Herculis. . . 18-80 28-30 a Ophiuchi . . 19-50 27-70 Moon's U.L. . 112. 59.58- 17 64-45 74. 28. 39-58 36-69 29-75 55-0 3. 2-2-93 57. 25-97 55.11-31 4-24 112. 8.11-69 112.23.53-28 41-15 July 2 x Opbiuchi . . 18-25 y Aquilae. .. . 19-05 a. Aquilae. . . . 19-05 ,3 Aquilae .... 18-60 Moon's U.L. . 103. 36. 54-53 65. 5.35-79 30-15 52-0 2. 4-98 55. 36-26 50. 15-97 11-33 102.48.35-40 103. 3. 47-03 11-15 3 Arcturus .... 19-05 28-15 a Cor. Bor. . . 19-80 28-90 Moon's U.L. . 99. 5.36-71 45-93 60. 34. 16-98 17-15 30-07 59-0 1.41-33 55. 4-67 47. 47-80 12-01 98. 19.20-52 98. 34. 23-5-2 41-15 4 a. Serpentis . . 20-00 29-00 a. Ophiuchi . . 20-05 29-05 24 a. Serpentis . . 16-30 28-10 Moon's U.L. . 112.28.29-60 41-28 73. 57. 13-04 12-92 30-13 61-0 3. 16-24 58. 12-14 55. 46-91 + 5-37 111.35.58-87 111.51.53-07 41-21 a, Ophiuchi . . 15-90 27-70 t, Aquilae . . . . 16-30 28- 10 a, Aquilae .... / 17-75 29-55 26 a, Serpentis . . 17-50 29-50 * Ophiuchi . . 15-90 27-90 Moon's U.L. . 113.24.22-75 33-38 74.53. 5-96 4-59 30-22 57-0 3. 30-91 57. 12-42 55. 4-81 2-70 112.32.56-01 112.48.33-90 41-23 Aquilas .... 16-8028-80 a. Aquilae. . . . 16-95 28-95 2? x Serpenlis . . 18-00 29-70 a Ophiuchi. . . 17-1528-85 Moon's L.L. . 112.18.23-50 34-63 73.47. 6-12 5-55 30-18 58-0 3. 15-66 56. 40-99 54. 16-99 6-19 111.27.32-63 111.12. 3-32 41-23 Aquibe 16*80 9.S-=if> a. Aquilae. . . . 17-5529-25 28 Serpentis . . 17-25 a Herculis. . . 17-05 a Ophiuchi . . 17-70 ? Aquilae 16-65 Moon's U.L. . 109. 0.46-06 70. 29. 28-90 30-12 54-0 2. 42-33 56. 967 52.46-86 8-91 108.10.55-21 108.26.15-96 41-24 29 Arcturus. . . . 17-25 The IWoon's U. L. or L. L was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables ahem*, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. 1825. June 29. Moon's U.L. The correction for increase of N.P.D. during the passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. July 2. Moon's U.L. " Troughton" observed on the Micrometer Wire. Correction applied +6" -3. The observation of the Moon on this dav with " Jones" is discordant. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (381) Year, Month, i Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. 8aro- 1 5 Refrac- Tabular Horizontal Equatoreal Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N.P.D. of U.L. or L. L., and of Tabular Obli- quity of Ecliptic. ana Day. Troughton. Jones. T. J. T. J. neter. tion. Parallax. Semi- diameter. Center, at Transit of 1 L. or 2 L. 23.27'. 1825. / n it ' ,t n in. o / n , , . n O 1 / if July 29 a. Serpentis . . 17-75 a Herculis . . 17-70 a Ophiuchi. . 17-05 Moon's U.L. . 105.20. 3-26 66. 48. 45-82 30-08 53-0 2. 14-66 55. 39-0550. 59'54 10-69 104. 31. 22-87 104. 46. 35-26 41-25 30 a. Serpentis . . 18-00 a. Herculis 17-10 * Ophiuchi . . 17-00 ? Aquilae . 16-60 Moon's U.L. . 101. 1.36-90 62. 30. 19-72 29-97 56-0 1. 50-06 55. 10-70 48. 46-52 11-71 100. 14. 33-48 100.29.38-13 41-26 31 16-60 a, Serpentis . . 17-60 i Ophiuchi. . 18-tiO 5 AqiiilaB .... 17-10 Moon's U.L. . 96.20. 1-05 57. 48. 43-57 29-92 60-0 1. 30-25 54.45-91 46.10-18 12-12 95. 35. 13-45 95.60.11-32 41-27 Aug. 1 a, Lyrae 19-00 '* o 5 Aquila? .... 18-55 a. Aquilae. . . . 18-60 a. Cvgni 18-90 Moon's U.L. . 91. 28. 25-75 52.57. 6-99 29-95 68-0 1.14-21 54. 26-37 43. 15-88 12-09 90.46. 15-16 91. 1. 7-69 41-28 2 a. Herculis . . 16-95 a. Ophiuchi. . 17-75 5 Aquilae. . . . 17-60 a. Aquilae. . . . 17-60 Moon's U.L. . 86. 37. 47-65 48. 6.30-17 29-93 56-0 1. 3-97 54. 13-51 40.10-50 11-72 85. 58. 33-85 86. 13. 22-87 41-29 4 Moon's U.L. . 77.38.33-13 39. 7. 13-72 29-32 55-0 0. 45-84 54. J 3-93 34. 1-15 10-14 77. 5.10-20 77. 19. 59-34 41-31 5 a, Lyrae 'l9-90 Aquilae. . . . 19-80 a. Aquilae. . . . 18-55 a. Cygni 19-40 Moon's U.L. . 73.49. 8-27 :J5. 17. 48'86 29-55 56-00.40-14 54. 29-30 31.16-97 8-84 73. 18. 25-12 73. 33. 18-47 41-33 6 a. Herculis . . 20-00 a. Ophiuchi. . '19-85 a. Lyrae 19-90 a. Aquilae. . . . 19-70 Moon's U.L. . 70. 40. 34-28 32. 9.14-42 29-6456-0 0. 35-76 54. 55-50 29. 1-59 - 7-03 70. 12. 3-49 70.27. 3-98 41-34 7 a. Ophiuchi . . 20-40 a, Lyrae 20-90 (3 Lyrae 21-15 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. 1825. July 29. Moon's U.L. The correction for increase of N. P. D. during the passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ; " which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. (382) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Same of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer. 1 Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, atTransit of 1 L. or 2 L. Tabular Obli. (]iiityof Ecliptic. Trough ton. Jones T. J. T. J. 23.2/'. 1825. o ' U II O 1 II " 1 in. o / // i a t rt O / /' rr An". 1 20-85 iM O* Moon's U.L. . 68. 24. 57-33 29. 53. 36-50 29-63 61-0 0. 32-36 55. 31-63 27. 28-04 4-62 67. 57. 58-13 68. 13. 8-4U 41-35 23 a. Serpentis . . 22-25 a Opbiuchi. . 21-25 Moon's L.L. . 112.48.52-10 74. 17. 30-05 30-03 62-0 3. 19-49 56. 38-66 54.23-10 4-99 111.57.53-36 111.42.24-69 41-48 a Aquilae. . . . 23-05 ep.20 a Lvrae 21-00 27-10 Moon's L.L. . 111. 4. 4-90 12-88 72. 32. 43-92 46-40 29-70 65-0 2. 55-93 56. 23-85 53.39-16 7-01 110. 13.30-87 109.58. 6-24 41-50 a. Pegasi .... 21-40 26-90 21 a Ly rse 21-45 26-65 Aquilas. . . . 21-25 26-45 a. Aquilae .... 19-70 24-90 Moon's L.L. . IDS. 3. 1-50 3-76 69.31.40-91 37-97 29-56 60-0 2. 29-49 55. 44-26 52. 3-82 9-22 107. 13.36-26 106. 58. 22-45 41-49 a Pegasi .... 19-95 25-15 oo * a Aquilse. . . . 20-70 26-10 Moon's L.L. . 104. 16. 22-36 26-31 65.44.61-22 59-77 29-82 55-0 2. 6-60 55.11-41 50. 9-58 10-60 103.28.30-11 103.13.25-28 41-48 a Aquarii . . . 21-95 27-35 a. Pegasi .... 21-35 26-75 a. Andromeda- 20-5.3 25-95 26 a Lyrae 21-20 26-20 ? Aquila:. . . . 21-05 26-05 a Aquilae. . . . 21-70 26-70 a. Cya;ni 22-05 27-05 Moon's U. L. 85. 22. 50-17 57-68 46. 51. 28-67 31-18 29-95 54-0 1. 1-52 54. 1-17 39. 13-47 11-30 84.44.51-21 84. 59. 36-86 41-44 27 Lyra? .... 21-50 27-30 Aquilae .... 20-75 26-55 II o r ii . , // O 1 II II Nov. 26 Moon's U.L. . 67.51.42-55 29. 20. 19-36 29-73 49-0 0. 32-53 55. 28-52 26. 58-49 + 0-60 67. 25. 15-93 67. 40. 25-44 39-94 Dec. 14 Moon's L.L. . 100.13.19-88 22-98 61.41.57-09 53-59 29-21 50-0 1.44-99 55. 57-78 49. 6-12 -11-99 99.26. 8-13 99. 10. 50-63 39-59 a Pegasi .... 23-05 29-65 aAndromedae 23-55 30-15 Aldebaran . . 22-50 29-10 Arcturus. . . . 22-05 28-65 15 a Lyrae 23-80 30-40 a Aquarii . . . 24-75 31-35 Moon's L.L. . 95.31. 0-73 5-43 56. 59. 37-14 35-24 29-65 38-0 1.30-69 55. 16-34 46. 10-43 12-10 94. 40. 30-48 94. 31. 24-30 39-58 aAndromedae 22-40 29-00 a Arietis 23-40 30-00 16 a Lyrae 23-55 30-15 a Cygni 23-80 30-40 Moon's L.L. . 90.44. 7-80 16-40 52. 12. 44-00 46-00 29-75 48-0 1.14-73 54.44-10 43. 4-32 -11-81 90. 2.29-15 89.47.31-77 39-56 aAndromedae 23-75 30-35 a Cassiopeiae. 24-10 30-70 17 Moon's L.L. . 86. 2.33-35 37-22 47.31. 9-86 7-73 29-67 47-0 1. 3-27 54.22-16 39. 54-50 11-29 85. 23. 50-79 85. 8.59-41 39-55 a Arietis 23-65 29-65 Aldebaran. . . 23-90 29-90 Capella 23-45 29-45 Arcturus. . . . 22-95 28-95 18 Moon's L.L. . 81.34.57-53 66-08 43. 3.34-04 36-59 29-48 51-0 0. 53-37 54.11-41 36. 48-29 10-53 80. 59. 12-86 80. 44. 24-41 39-54 19 a Pegasi .... 22-80 29-40 Moon's L.L. . 77.30. 12-17 15-97 38. 58. 48-97 46-17 29-32 40-0 0. 47-03 54.11-18 33. 53-35 9-48 76. 57. 12-66 76. 42. 24-28 39-53 a Arietis 22-90 29-50 a Ceti 23-45 3005 Aldebaran. . . 23-65 30-25 20 a Lyrae 23-00 30-20 aAndromedae 22-40 29-00 Moon's L.L. . 73. 57. 38-20 43-93 35. 26. 14-92 14-05 29-28 47-0 0. 40-72 54. 21-03 31. 18-82 8-14 73.27. 6-46 73. 12. 15-38 39-52 22 a Lyrse 24-00 a Cygni 23-60 Moon's L.L. . 69.12.32-15 30.41. 8-90 29-64 44-5 0. 34-56 55. 4-41 27.54-11 3-73 68. 45. 15-01 68.30. 12-08 39-50 Capella 23-20 28-80 23 a Lyrae 22-20 27-80 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (387) Year, Month, and Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter U I o g Refrac- tion. Tabular Horizonta Equatoreal Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N. P.D.ofU.L. or L. L., and of Center at Transit Tabular Obli- quity o Ecliptic. Day. Tronghton. Jones T. J. T. J. .3 Parallax. Semi- diameter. of 1 L. or 2 L. 23.27'. 1825. 1 // // // II O 1 II n In. o / a / * - n O ' '/ Dec. 23 a Aquilae .... 22-05 27-65 Moon's L.L. . 68. 22. 16-45 18-23 29.50.54-12 50-30 29-68 42-0 0. 33-63 55. 34-28 27.27-16 0-69 67.55.21-30 67.40.10-21 39-49 Arcturus. . . . 21-85 27-45 24 a. Lyrae. . . . 28-50 Pegasi .... 23-10 28-70 aAndromedae 21-75 27-35 Cassiopeiae . 23-60 a Arietis 22-50 28-10 Moon's U.L.. 68.14. 4-25 10-38 29.42.41-51 42-22 29-95 38-0 0. 34-04 56. 6-81 27.36-19 + 2-74 67.46.58-91 68. 2. 18-88 39-48 25 Moon's L.L. . 70.24. 2-98 7-68 31.52.40-93 39-80 29-85 38-5 0. 36-93 56. 39-99 29. 43-03 + 6-19 69.55. 2-39 69. 39. 33-36 39-47 26 Moon's L.L. . 73.15. 4-33 34. 43. 44-08 29-72 32-0 0.41-54 57.11-84 32.22-51 + 9-33 72. 43. 34-37 72. 27. 56-63 39-45 Arcturus. . . . 20-85 27-35 27 a. Lyra; 19-80 a. Aquila?. . . . 19-75 a Cveni. . 20-60 aAndromedae J9-45 Arietis .... 19-25 a. Ceti 19-85 Moon's L.L. . 77. 8. 44-55 38. 37. 24-97 29-62 28-0 0.48-11 57.41-29 35. 47-97 + 11-84 76. 33. 58-88 76.18.13-10 39-46 1826. Jan. 2 a. Pegasi .... 19-35 28-15 Aldebaran . . 18-40 27-20 (3 Tauri . . . 18'95 27-75 a Orionis. . . . 18-40 *> 1 If 27-20 Moon's L.L. . 107.33. 9-97 19-93 69. 1.51-19 52-35 29-69 30-0 2. 35-76 59. 23-22 55. 17-38 + 10-84 106. 40. 42-92 106. 24. 29-30 39-44 12 Moon's L.L. . 92. 57. 49-95 62-18 54. 26. 30-96 34-19 29-63 28-0 1.24-15 55. 15-20 44. 46-08 12-23 92.14.44-81 91. 69. 38-93 39-46 Aldebaran . . 19-00 28-00 /3 Tauri 19-05 28"05 a Orionis. . . . 18-50 27-50 Procyon .... 19-40 28-40 14 Moon's L.L. . 83. 32. 32-05 40-68 45. 1. 11-92 12-15 29-91 23-0 1. 1-49 54. 24-34 38. 17-53 10-99 82. 55. 28-92 82. 40. 36-94 39-48 a Arietis .... 20-10 28-50 Aldebaran . . 20-60 29-00 a Orionis. . . . 19-55 27-95 Procyon .... 20-25 28-65 15 aAndromedae 19-85 28-25 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. i 3 (D)2 (388) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 380.31'. Apparent Zenith Distance. Baro- meter Thermometer.! Refrac- tion. Tabular Horizontal Kquatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tubular Obli- quity at Ecliptic. 23.27 i ! Troughton. Jones. T. J. T. J. 1820. O i u n // O ' II It in. o / // , / a n o / // // Jan. 15 Moon's L.L. . 79. 16. 20-12 28-50 40. 44. 59-82 59-80 30-10 25-0 0.53-17 54. 13-73 35. 12-20 9-99 78. 42. 12-70 aCeti 21-45 19-75 29-85 28-15 78. 27. 23-62 39-48 Aldebaran. . . /3 Tauri 20-15 28-55 6 Moon's L.L. . 75. 29. 22-70 33-87 36.58. 3-22 4-59 30-38 25-5 0. 46-74 54. 14-35 32.25-18 8-69 74. 57. 56-09 74.43. 6-84 39-49 a Orionis. . . . 19-85 2965 Procyon . Pollux 19-80 18-25 20-00 29-60 28-05 29-80 Arcturus. . . . 17 * Andromeda? 18-95 27-95 a Arietis .... 18-80 27-80 Moon's L.L. . 72.21. 3-63 9-52 33.49.44-24 41-13 30-42 25-0 0.41-73 54. 26-02 30. 6-26 7-03 71.51.47-12 71.36. 54 "(59 3!)-50 26 Aldebaran. . . 3 Tauri 19-95 19-85 20-85 28-95 28-85 29-65 a, Orionis. . . . Procyon .... Pollux .' 90. 38. 14-95 23-30 21-15 20-00 29-95 28-80 52. 6.54-42 53-97 30-10 26-5 1.18-82 59. 18-85 46. 36-85 + 15-20 89.53. 13-30 Moon's L.L. . 89.37. 0-87 39-59 a Aquilas. . . . 20-10 28-90 28 a Orionis. . . . 20-00 Procyon .... Moon's L.L. . 101.31.12-42 20-10 62. 59. 52-99 29-98 31-0 1.58-42 59. 24-68 52. 45 37 + 13-57 100.40.41-54 100.24.27-52 39-61 a. Ophiuchi . . a Aquilas. . . . 18-80 18-80 Feb. 13 Moon's L.L. . 73. 47. 59-32 64-45 35. 16.39-06 35-99 29-96 43-0 0.41-76 54.11-57 31. 5-97 - 7-70 73. 17.42-95 73. 2.54-46 39-77 . Aldebaran. . . 19-80 28-00 a Orionis. . . . 20-35 28-55 15 Procyon. . . . Pollux 69.22. 0-73 14-13 20-50 20-40 20-30 21-20 28-70 28-60 27-70 28-60 30. 50. 39-78 45-78 29-76 47-0 0. 34-74 54. 47-05 27. 53-15 3-36 68. 54. 49-66 a Arietis .... a Ceti Moon's L.L. . 68.39.51-47 39-79 16 Aldebaran. . . 21-35 28-75 Moon's L.L. . 68. 38. 30-88 40-78 30. 7. 9-58 12-08 29-61 44-0 0. 33-79 55. 21-04 27. 34-22 0-46 68.11.32-77 17 /3 Tauri - 20-95 21-75 21-15 19-80 28-35 29-15 28-55 26-80 67. 56. 25-30 39-80 a. Orionis. . . . Pollux Aldebaran. . . The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 314. 31'. 21" '93. I SECT. II. INVESTIGATION OF MOON'S NORTH POLAU DISTANCE. Year, Month, Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. iaro- mometer.l Refrac- Tabular Horizontal quHtoreal Parallax. ncreascof Mooii'a N.P.D. luring the Geocentric N.P.D. of U.L. or L. L., and of 1 Tabular Obli- quity of EoJiptic. and Day. Troughton. Jones. T. J. T. J. metcr. V tion. Parallax. Semi- diameter. Center, atTransit' of 1 L.or2L. 3.27'. 1826. o / // it 1 'i O 1 II // b. o ii f a / // a / a // Feb. 17 Moon's L.L. . 69. 4.53-50 30. 33. 33-00 29-44 38-0 0. 34-61 56. 3-86 28. 17-85 + 2-79 68.37. 8-90 68.21.49-74 39-81 Moon's U.L. . 1-52 30. 2. 25-98 0. 33-90 27.51-48 68. 6.27-54 68.21.46-70 Castor 20-25 27-25 Procyon .... 20-85 27-85 Pollux 21-10 28-10 18 Rieel. . 19-97 28-23 y Orionis. . . . 21-17 29-43 Moon's U.L. . 70. 13. 37-47 43-83 31. 42. 16-99 15-09 29-76 35-5 0. 36-80 56. 53-63 29. 41-34 + 6-28 69. 44. 27-15 69. 59. 59-91 39-82 Pollux 21-32 29-58 llegulus .... 19-47 27-73 22 y Orionis. . . . 19-84 27-70 Procyon .... 20-39 28-31 Pollux 19-79 27-71 20-04 27-96 Moon's L.L. . 88. 3. 12-40 20-42 49.31.52-38 52-48 29-83 45-5 1. 8-47 59. 55-85 45. 23-23 + 15-55 87.19.15-15 87. 2.52-62 39-84 23 20-65 Castor 20-85 Procyon .... 20-70 Pollux 21-20 Moon's L.L. . 93.47.59-12 55. 16. 38-27 29-86 34-0 1. 26-35 60. 15-45 49. 19-77 + 15-65 93. 0.22-43 92. 43. 54-54 39-85 25 7 Orionis. . . . 21-35 Procyon .... 20-75 Regulus .... 19-65 Moon's L.L. . 104. 25. 26-87 65.54. 6-33 30-10 39-0 2. 13-01 60. 9-36 54. 44-33 + 12-81 103.33. 9-75 103. 16.43-53 39-86 a Aquilae. . . . 20-40 Mar. 15 Aldebaran. . . 20-92 29-78 Moon's L.L. . 69. 4. 16-18 23-78 30. 32. 54-72 53-46 29-78 49-0 0. 34-21 54. 40-67 27. 35-32 1-66 68. 37. 16-57 68.22.20-13 39-86 (3 Tauri 22-17 31-03 Pollux 22-47 31-33 Regulus 20-27 29-13 17 Aldebaran. . . 20-10 32-00 Moon's U.L. . 69. 34. 50-7762-00 31. 3. 31-94 31-27 30-23 37-0 0. 36-33 55. 56-93 28. 39-44 + 4-49 69. 6.45-94 69.22. 3-21 39-86 Pollux 18-45 30-35 Regulus . . . . 18-05 29-95 7 Leonis 18-70 30-60 18 Aldebaran. . . 18-30 29-70 /3 Tauri 18-60 30-00 a Orionis. . . . 18-85 3025 Moon's U.L. . 71.49.20-80 32-43 33. 18. 1-75 1-98 29-93 38-C 0. 39- lo 56.48-80 30. 58-9 + 7-70 71.18.56-35 71.34.27-79 39-85 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding; to the time of passage of the Limb which was observed with the Transit. Adopted Co- Latitude 38. 31'. 21" '93. Feb. 17. Moon's U. L. Jones. The observation was by reflexion : the complete circle reading was 188. 29'. 1" '52. 4 (390) SEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer. 1 Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L.or2L. Tabular Obli. quityof Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1826. o / a // in. o / // / /; / n it Oil n Mar. 18 Pollux 20-45 31-85 19 /3 Tauri 20-15 30-95 a. Orionis . 19-95 30-75 Pollux 20-95 31-75 Moon's TJ.L. . 75. 10. 44-23 55-08 36. 39. 24-03 24-08 29-87 40-0 0. 44-07 57. 46-25 34. 16-65 + 10-66 74. 37. 2-76 74. 52. 49-88 39-84 Regulus 19-75 30-55 20 Castor .... 18'95 30-95 Procyon .... 18-85 30-85 Pollux 20-10 32-10 Moon's U.L. . 79.31.31-52 43-30 41. 0. 12-09 11-87 29-86 37-0 0. 51-78 58. 45-44 38. 20-25 + 13-14 78. 53. 52-30 79. 9.55-60 39-84 Regulus. .... 19-80 31-80 29 Regulus. .... 18-95 30-65 Y Leonis .... 18-55 30-25 j Leonis 19-20 30-90 Moon's U.L. . 111.23. 8-23 21-38 72.51.49-19 50-64 29-82 29-0 3. 14-08 58. 11-46 55.27-17 4-50 110.30.54-26 110.46.48-27 39-72 a Aquilas . . t . 19-45 31-15 31 Procyon .... 19-75 ',; Leonis 19-45 /3 Lyrae 20-20 a Aquilee 20-45 Moon's U.L. . 106. 2.26-30 67.31. 6-34 30-24 35-5 2. 25-37 56. 36-94 52. 8-96 9-70 105. 12. 34-98 105.28. 3-18 39-69 Apr. 15 Moon's U.L. . 73. 50. 26-93 34-62 35. 19. 5-87 3-56 30-13 58-5 0. 40-75 56. 36-59 32.31-07 + 9-00 73. 18. 27-33 73. 33. 55-43 39-38 Regulus 20-60 30-60 Y Leonis .... 20-75 30-75 16 Procyon .... 21-85 31-85 Pollux 21-05 31-05 Moon's U.L. . 77. 37. 51-68 62-90 39. 6.31-03 32-25 30-13 48-0 0. 47-76 57. 31-89 36. 4-80 + 11-47 77. 2.25-06 77. 18. 8-27 39-37 Regulus 19-85 29-85 * 5 Aquilae .... 19-85 29-85 17 Moon'sU.L. . 82.15. 2-08 11-22 43. 43. 42-13 40-97 30-18 47-0 0. 56-39 58. 31-48 40. 14-66 + 13-47 81.35.31-74 81.51.31-23 39-34 Regulus .... 19-65 29-95 y Leonis . . . 20-50 30-80 Aquilae .... 19-65 29-95 a Aquilse .... 20-00 30-30 18 Regulus .... 18-69 29-71 Moon's U.L. . 87. 29. 33-50 44-23 48.58.14-01 13-72 30-10 45-0 1. 7-81 59. 30-22 44. 40-83 + 14-85 86. 45. 47-93 87. 2. 3-47 39-32 ^ Leonis 19-64 30-66 ? Aquila! 19-84 30-86 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (391) Year, , Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer. 1 Refrac- tion. Tabular lorizontal Squatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, atTransit of 1 L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1826. o ; // a it II ota // in. o / // / a / it ii O 1 II n \pr. 18 a Aquilae. . . . 19-79 30-81 19 19-29 30- 1 1 y Leonis .... 19-34 30-16 J Leonis 19-19 30-01 Moon's U.L. . 93. 4. 48-93 60-53 54. 33. 29-73 30-51 29-95 47-0 1.22-09 60. 22-52 48.59-16 + 15-44 92. 16. 59-54 92. 33. 29-35 39-29 a. Aquilae. . . . 18-99 29-81 20 Procyon .... 19-78 30-02 Regulus .... 19-03 29-27 Moon's U.L. . 98.39. 9-45 20-00 60. 7.49-23 49-54 29-55 45-0 1.40-66 61. 1-78 52. 43-73 + 14-99 97. 47. 53-26 98. 4.33-79 39-26 J Aquilse. . . . 21-08 31-32 a. Aquilae. . . . 20-98 31-22 23 Regulus .... 19-01 y Leonis .... 19-96 Moon's L.L. . 111.23.38-52 72. 52. 19-00 29-73 37-5 3. 10-10 61. 0-97 58. 9-09 + 6-16 110.28.48-10 110.12. 7-79 39-17 J Aquilae. . . . 19-81 a. Aquil*. . . . 19-31 24 J Leonis .... 19-40 Moon's L.L. . 112.39.48-37 74. 8.28-91 29-87 36-0 3. 27-43 60. 21-57 57. 54-54 + 1-39 111.45.25-12 111.28.55-56 39-14 a. Lyrae 19-85 a Aquilas. . . . 18-60 20-00 28 Moon's U.L. . 103. 20. 17-57 28-67 64. 48. 57-48 57-96 29-84 36-5 2. 6-16 56. 39-90 51. 6-52 10-86 102.31. 8-43 102. 46. 37-43 39-03 29 Regulus .... 19-59 30-21 y Leonis .... 20-04 30-66 j Aquilae. . . . 21-29 31-91 a Aquilae. . . . 19-44 30-06 May 13 Moon's U.L. . 76. 16. 29-43 37.45. 9-90 30-08 52-0 0. 45-05 56. 31-86 34. 24-22 + 10-27 75. 42. 42-39 75.58. 9-20 38-64 Regulus .... 19-20 y Leonis .... 19-55 j Aquilae .... 19-15 a. Aquilaa. . . . 20-20 14 Moon's U.L. . 80.29. 3-97 17-27 41. 57. 44-84 46-84 29-95 53-0 0. 51-97 57. 19-94 38. 7-63 + 12-21 79. 51. 39-90 80. 7.19-85 38-60 Regulus .... 19-40 30-70 y Leonis . . . . 18-95 30-25 J Aquilre . . . 19-35 30-65 a Aquilae . . . 18-80 30-10 15 Moon's U.L. 85.20. 6-20 18-78 46. 48. 46-18 48-24 30-00 53-0 1. 1-65 58. 12-30 42. 13-95 + 13-63 84. 38. 43-21 84.54.37-45 l 38-57 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are. those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" "93. (392) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. ermometer.l Refrac- tion. Tabular Horizontal Equatoreal I >..,.'l ( ]! Y Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit Tabular Obli- quity of Ecliptic. Day. Troughton. Jones. T. J. T. J. i araimx. diameter. of 1 L. or 2 L. 23.27'. 1826. o / // /' // Oft a in. o / it / /' / // // o / n a May 15 Arcturus. .. . 19-39 30-51 a. Lyras .... 19-54 30-66 16 J Aquilae. .. 20-09 30-01 a Aquilic. . . 21-04 30-96 17 Moon's U.L. 96. 2. 32-60 42-18 57. 31. 12-34 11-69 30-02 60-0 1. 29-54 59. 56-72 50. 22-56 + 14-64 95. 13. 26-29 95. 29. 49-06 38-52 Arcturus . . . 20-78 31-02 a Lyra .... 20-83 31-07 18 Moon's U.L. 101. 16. 55-52 63-87 62. 45. 35-60 33-71 29-94 58-0 1.50-69 60. 38-56 53. 43-80 + 13-85 100. 24. 49-67 100.41.23-87 38-49 a Lyrae .... 19-78 30-02 J Aquilae. . . 20-43 30-67 a Aquilae. . . 18-98 29-22 a Cygni .... 20-48 30-72 19 Moon's U.L. 105. 54. 54-87 67-33 67.23.35-18 36-27 29-63 53-0 2. 16-50 61. 6-03 56. 13-91 + 11-82 105. 0.48-43 105. 17.30-12 38-46 20 J Leonis. . . . 19-17 30-53 Arcturus . . . 19-27 30-63 Moon's U.L. 109. 29. 38-68 51-10 70. 58. 18-99 20-04 29-85 47-0 2. 47-59 61. 14-65 57. 43-98 + 8-49 108. 34. 36-57 108.51.20-61 38-43 $ Aquilae 20-52 31-88 a. Aquilae.. . 19-82 31-18 21 J Leonis . . . 20-22 Arcturus. . . 20-92 Moon's L.L. 112.11.17-25 73. 39. 56-90 29-95 51-0 3. 15-62 61. 2-76 58.25-51 + 3-97 111.16.12-81 110.59.32-01 38-41 $ Aquilae. . . 20-27 a Aquilae. . . 19-97 22 Leonis . . . 20-13 Arcturus. . . 19-33 Moon's U.L. 112. 6.44-18 73. 35. 24-47 29-93 47-0 3. 16-08 60.31-52 57. 54-02 - 1-01 111. 12. 7-45 111.28.39-72 38-38 Aquilae . . . 20-23 a Aquilae. . . 19-13 June 12 Moon'sU.L. 88. 43. 17-30 50.11.57-25 30-18 76-0 1. 6-71 58. 4-59 44. 25-03 + 13-74 87. 59. 47-12 88. 15. 39-25 37-97 Arcturus. . . 20-89 a Serpentis.. 20-44 J Aquilae . . . 19-29 a Aquilae. . . 19-59 14 Moon's U.L. 99. 9.31-90 60. 38. 11-89 30-11 73-0 1. 38-93 59.27-21 51. 37-62 + 13-58 98. 19. 21-55 98. 35. 36-26 37-94 a Serpentis.. 20-75 a Herculis. . 19-55 a Ophiuchi.. 19-75 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (393) Year, Month, and Day. ; Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. baro- meter. Thermouieter.l Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the 'assage of Semi, diameter. Geocentric N.P.D. of U.L. or L. L., Mini of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 182(5. o / ii rt a O r if U in. / t ii / // it / Ii // June 14 J Aquilae. . . . 20-00 17 a Serpenlis . . 21-42 29-98 Moon's U.L. . 110. 45. 17-95 26-62 72. 13. 57-43 57-54 30-21 66-0 2. 55-32 60. 38-91 57. 35-50 + 6-17 109. 50. 33-07 110. 7. 7-37 37-90 a Herculis. . . 19-52 28-08 Ophiuchi . . 19-92 28-48 J Aquilae .... 21-22 29-78 18 Arcturus. . . . 20-90 29-70 Serpentis . . 20-70 29-50 Moon's U.L. . 112. 4.40-28 48-25 73. 33. 19-82 18-99 30-21 62-0 3.11-48 60. 33-70 57. 55-45 + 1-55 111. 9.55-82 111.26.28-69 37-89 a Herculis . . 20-05 28-85 a Ophiuchi . . 20-20 29-00 19 a. Serpentis . . 20-40 28-80 a. Ophiuchi. . 19-95 28-35 Moon's U.L. . 111.45.53-53 60-88 73. 14. 33-6 J 12-59 30-34 52-0 3. 12-51 60. 11-3" 57. 28-44 3-28 110.51.39-12 111. 8. 5-90 37-88 Aquilae .... 20-90 29-30 a Aquilae. . . . 18-30 26-70 20 a Serpentis. . 19-85 28-65 ' a, Herculis . . 19-30 28-10 a Ophiuchi . . 19-15 27-95 Moon's U.L. . 109.54.32-72 39-13 71. 23. 13-32 10-93 30-32 50-0 2.53-15 59.34-11 56. 17-40 - 7-39 109. 1. 2-42 109. 17. 19-02 37-87 J Aquilae .... 19-30 28-10 22 a Herculis . . 18-50 27-70 a. Ophiuchi. . ' 19-70 28-90 J Aquilae .... 19-15 28-35 a Aquilae. . . . 19-80 29-00 Moon'sU.L. . 102.47. 7-32 15-92 64. 15. 48-03 47-43 30-25 50-0 2. 1-33 57. 52-08 51. 57-14 -11-87 101.57. 1-98 102. 12. 50-69 37-86 23 a. Herculis . . 19-55 a. Ophiuchi . . 19-85 Aquilae. . . . 19-35 a Aquilae. . . . 19-15 Moon'sU.L. . 98. 14.51-53 59. 43. 32-05 30-29 51-0 1. 40-28 56. 57-65 49. 0-66 -12-41 97. 27. 21-19 97. 42. 55-05 37-85 24 a. Serpentis . . 20-45 a Herculis . . 18-30 a Ophiuchi. . 18-90 J Aquilas .... 19-55 Moon'sU.L. . 93. 28. 47-65 54. 57. 28-35 30-24 52-0 1.23-25 56. 6-85 45. 45-31 -12-31 92. 44. 15-91 92. 59. 35-89 37-84 25 a. Serpentis . . 20-10 a Herculis . . 19-15 a Ophiuchi . . 19-70 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. 1826. June 19. Moon's U.L. The correction for increase of N. P. D. during the passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ; " which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. GREENWICH LUNAR REDUCTIONS. 3(E) (394) EEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.! Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P. D. during the Passage of Semi, diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, atTransit of 1 L. or 2 L. Tabular Obli- quity of Ediptic. Troughton. Jones. T. J. T. J. 23.27'. 1826. / U O / " II in. o / a / a t tt " O I H // June 25 Aquilae .... 19-40 MoonVU.L. . 88. 42. 55-77 50.11.36-18 30-12 54-0 1. 9-55 55.23-14 42. 21-37 -11-77 88. 1. 34-52 88. 16. 42-56 37-83 July 13 Moon's U.L. . 106. 27. 48-55 57-43 67. 56. 28-61 28-49 29-56 66-0 2. 16-26 59.31-52 54. 59-75 + 10-45 105. 34. 56-54 105.51.12-43 37-83 a. Serpentis . . 20-35 29-35 a. Ophiuchi. . 20-00 29-00 J Aquilae. . . . 19-40 28-40 a, Aquilae. . . . 20-00 29-00 14 Moon's U.L. . 109. 41.18-83 29-72 71. 9.59-09 60-90 29-73 66-5 2.42-15 59. 46 03 56. 24-15 + 7-48 108.47.32-45 109. 3.52-30 37-83 a Cor. Bor.. . 20-81 29-89 a Serpentis . . 20-56 29-64 aHerculis. .. 18-66 27-74 Ophiuchi . . 18-91 27-99 15 a Serpentis . . 20-01 29-09 Moon'sU.L. . 111.37.20-75 28-97 73. 6. 1-19 0-33 29-79 63-0 3. 3"21 59. 51-48 57. 6-80 + 3-53 110.43. 15-5" 110.59.36-91 37-83 a Ophiuchi. . 18-81 27-89 Aquilae .... 19-31 28-39 a Aquilse. . . . 20-11 29-19 17 a. Serpentis . . 19-20 29-50 a Ophiuchi . . 18-65 28-95 Moon's U.L. . 110.56.56-25 08-58 72. 25. 37-17 39-20 29-88 61'( 2.57-18 59.27-82 56.31-70 5-34 110. 3.30-94 110.19.45-82 37-84 Aquilae .... 19-20 29-50 a Aquilae. . . . 19-25 29-55 18 Cor. Bor. . . 19-77 a. Serpentis . . 19-67 21 a Herculis. . . 18-72 Moon'sU.L. . 95. 48. 27-37 57. 17. 7-87 29 '59 53-0 1.28-72 56. 48-00 47. 36-25 1-2-63 95. 2. 9-64 95. 17. 40-SI 37-87 24 a Serpentis . . 19-89 25 a Serpentis . . 20-39 29-41 a Herculis . . 19-69 28-71 Moon's U.L. . 77. 44. 54-12 62-78 39.13.34-60 34-24 30-12 53-0 0.47-45 54. 27' 12 34.14-12 9-27 77. 11.20-41 77.26.13-15 37-90 a Arielis .... 19-44 28-46 A lilrhanm . . 18-54 27-56 26 a. Herculis. . . 18-73 27-97 a, Ophiuchi . . 19-83 -29-07 a Arietis 19-28 28-52 Moon'sU.L. . 74. 19. 22-82 31-77 35.48. 3-51 3-22 30-19 50-0 0. 42-29 54. 14-68 31.31-87 - 7-75 73. 48. 27-97 74. 3. 17-31 37-92 Aldebaran. . . 19-38 28-62 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (395) Venr, ' Month, and Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. rmometer.J Refrac- tion. Tabular iorizontal Squatoreal Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N.P.D. of U.L. or L. L., and of Center, atTransit Tabular Obli- quity of Ecliptic. Day. Troughton. Jones. T. J. T. J. U & Parallax. Semi- diameter. of 1 L. or 2 L. 23.27'. 1820. O 1 // // // ft O t If n in. O / n / // / '/ ii O I II // ,' July 27 Arcturus. . . . 19-05 28-95 a, Cor. Bor. . . 18-80 28-70 . Herculis. . . 18-20 28-10 a, Ophiuchi . . 18-55 28-45 Moon's U.L. . 71. 36. 51-20 59-27 33. 5. 32-55 30-72 30-15 58-0 0. 37-55 54. 13-35 29. 24-21 5-91 71. 8. 1-00 71.22.49-98 37-93 29 Arcturus. . . . 18-24 28-06 a Cor. Bor. . . 18-29 28-11 a Arietis .... 18-29 28-11 Moon's U.L. . 69.45.11-98 22-58 31. 13. 53-74 54-52 30-01 62-0 0. 34-50 54. 22-68 27. 59-54 3-64 69. 17. 47-38 69.32.38-91 37-94 Aldebaran . . 18-14 27-96 29 a Aquilae. .. . 19-61 28-19 a Cvsrni . . 20-66 29-24 a Arietis .... 19-01 27-59 Aldebaran. . . 19-61 28-19 Moon'sU.L. . 68.52. 0-90 4-78 30.20.41-18 36-48 29-98 66-0 0. 33-01 54. 41-54 27. 25-61 0-99 68.25. 7-17 68.40. 3-85 37-95 Aug. 12 Serpentis . . 18-42 29-38 Moon'sU.L. . 111.53.56-63 67-63 73. 22. 38-92 38-96 30-02 62-0 3. 8-18 59. 9-81 56. 32-04 + 0-72 111. 0.36-29 111.16.46-24 38-09 Aquilae. . . . 16-57 27-53 Aquilfe .... 17-72 28-68 a Aquilae 18-12 29-08 14 a. Ophiuchi . . 17-65 28-85 Moon's L.L. . 110. 3. 12-93 23-48 71. 31. 54-80 54-15 29-92 60-0 2. 48-78 58. 35-79 55. 25-34 9-18 109. 10. 47-03 108. 54. 46-36 38-11 y Aqiiiloe .... 17-85 29-05 a Aquilaa. . . . 18-55 29-75 |8 Aquilae 18-45 29-65 15 a. Serpentis . . 19-22 30-38 a. Ophiuchi . . 17-47 28-03 J Aquilas .... 18-07 29-23 a Aquilse .... 17-92 29-08 Moon's L.L. . 106.59.36-1546-53 68. 28. 17-98 17-20 29-89 59-0 2. 23-47 58. 8-93 53. 55-74 9-96 106. 8.17-21 105. 52. 23-90 38-12 16 a Aquilas. . . . 18-44 29-96 Aldebaran. . . 17-44 28-96 17 Moon'sU.L. . 98. 0. 16-63 29-52 59.28.58-02 59-87 30-13 62-0 1. 36-61 57. 0-05 48. 55-34 12-39 97.13. 2-15 97. 28. 36-66 38-15 18 a Ophiuchi . . 19-52 30-08 Aquilae . . . . 18-32 28'SS J Aquilae . . . . 19-02 29-58 a AquilcB. . . . 18-02 28-58 Moon's U.L. . 93. 12. 51-67 60-30 54. 41. 33-46 31-53 30-24 61-0 1. 20-95 56.21-91 45. 48-52 12-45 92. 28. 14-41 92. 43. 38-51 38-16 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21"'93. 1826. Aug 17. Moon's U. L. The correction for increase of N. P. D. during the passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. 3(E) 2 (396) KEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. B:iro- ineter. Thermometer.l Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N. P. D. during the Passage of Semi- diameter. Geocentric N.P.D.of U.L. or L.L., and of Center, at Transit of 1 L.or2L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 18<>6 o / a a n o / n n in. o , -, / ir / n // o / '/ Aug. 18 Aldebaran . 17-47 28-03 18 a. Serpentis . . 19-31 a. Ophinchi . . 18-96 // O f ff a . !> ^ Aquilac. . . . 19-05 32-05 a Aquilre . . . . 18-95 31-95 a Pegasi .... 18-60 31-60 Moon's U. L. 90.21.21-30 36-25 51.50. 2-46 4-41 30-16 48-01.14-74 55. 46-44 43. 39-61 11-93: 89.39.12-43 89. 54. 26-83 38-27 Procyon .... 1875 31-75 16 J Aquilae . . . . 19-10 a. AquiUe. . . . 19-10 a Pegasi .... 18-20 Moon's U.L. . 85. 42. 37-33 47. 11. 18-34 29-95 47-01. 3-14 55. 16-82 40. 21-48 11-30 85. 3.10-63 85.18.16-95 38-28 Procyon .... 19-55 17 ? Aqnilse . . . . 19-83 | a Aquilae .... 19-68 a. Aquarii . . . 19-73 a Pegasi .... 20-73 Moon's U.L. . 81.21. 3-17 42.49.43-18 29-76 55-00.53-01 54. 50-48 37. 5-01 10-30 80. 44. 42-81 80.59.41-93 38-27 19 a Aquilrr .... 20-94 a Aquarii. . . . 20-34 20 Moon's U.L. . 71.38.51-28 33. 7.31-51 29-84 53-0 0. 37-59 54. 6-06 29. 21-84 5-41 71. 10. 3-78 71.24.50-77 38-24 21 a, Opliiucbi. . 19-49 ? AquiltB .... 19-39 a Aquilao . . . . 18-94 a Pegasi .... 18-39 Moon's U.L. . 69. 59. 28-38 31.28. 9-33 29-97 43-0 0. 36-15 54. 8-20 28. 3-62 3-12 69.32. 0-67 69. 46. 48-24 38-23 22 a. Pegasi .... 19-64 a, Andromedae 19-04 Moon's U.L. . 69. 17.40-10 30.46.20-48 29-97 42-0 0. 35-24 54. 20-73 27. 36-1(5 - 0-55 68. 50. 40-94 69. 5.31-94 38-23 Procyon .... 19-74 Pollux 20-04 * Oct. 6 Moon's U.L. . 111.25.58-90 73-18 72.54.39-1740-75 30-02 51-0 3. 7-04 59. 30-03 56. 42-88 0-85 110.32.26-90 110.48.42-38 38-05 a. Aquilae. . . . 19-85 32-55 a Aquarii . . . 20-00 32-70 Procvon .... 19-9532-65 Regulus .... 19-10 31-80 9 5 Aquilra . . . . 20-42 33-28 a. Aquilse. . . . '2-2-0234-88 Moon's L.L. . 105. 23. 56-03 70-60 66. 52. 35-14 36-84 29-08 45-5 2. 15-45 57. 25-87 52.39-16 10-08 104. 33. 44-29 104.18. 2-73 38-00 a. Aquarii . . . 21-2734-13 a Andromeda 1 19-5732-43 y Pegasi 19-87 32-73 The Moon's \J. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. (398) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Montli, and Day. Name of Object. Circle Reading. Zenish Point 380.31'. Apparent Zenith Distance. Baro- meter. Thermometer .1 Refrac- tion. Tabular Horizontal F.quatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity of Kcliptir Troughton. Jones T. J. T. J. ->3.27'. 1826. Oct. 10 Moon's L. L. . ' // 101.25.41-88 50-42 tf // 1 II 62.54.21-43 17-49 in. 29-74 o 60-0 n 11-29 O 1 II 100. 37. 20-25 it 1.50-57 66. 47-22 50. 23-00 aAndromedap 21-10 33-20 100.21.49-24 37-98 y Pegasi . . . . 21-25 33-35 13 a, Aquarii . . . a Pegasi .... Moon's L.L. . 87.47.40-10 51-80 22-70 21-35 34-30 32-05 49. 16. 18-60 18-70 30-10 49-0 1. 7'97 55. 12-29 41.38-71 11-29 87. 7.21-13 y Pegasi . . . . a Arietis . . . . 20-55 21-40 32-15 33-00 86. 52. 16-05 37-91 15 a Aquilas. . . . a. Pegasi .... a. Andromeda; Moon's U. L. 78.51.24-80 34-23 22-45 22-00 21-75 34-05 33-60 33-35 40. 20. 2-86 0-69 29-56 54-0 0. 48-34 54. 27-58 35. 2-99 9-34 78. 17. 9-06 Arietis 21-55 33-15 78.32. 1-93 37-88 16 a Pegasi .... aAndromedae 22-60 21-20 33-30 31-90 a Arietis Moon's U. L. 75. 22. 24-45 33-05 21-70 32-40 36.51. 2-76 0-66 29-74 45-0 0. 43-73 54. 12-08 32. 18-39 7-89 74.50.41-09 Regulus .... 21-25 31-95 75. 5.29-72 37-86 17 Aquilae. .. . a. Aquilae. . . . a Aquarii . . . a. Pegasi . Moon's U. L. 72. 35. 10-95 22-00 21-65 21-55 21-00 34. 3.49-40 29-85 49-0 0. 39-28 54. 1-75 30. 3-73 6-07 72. 5. 40-81 72. 20. 26-62 37-83 21 a. Pegasi .... a Arietis. . . . 22-65 21-75 22 Moon's L.L. . 72. 57. 37-23 34. 26. 14-85 29-78 56-0 0.39-18 55. 9-14 30. 59-16 + 6-47 72. 27. 23-27 72. 12. 19-06 37-70 23 a Aquilce. . . . a Cygni 21-80 23-30 Nov. 4 a Aquilae. . . . 22-30 34-20 6 Moon's L.L. . 102. 38. 50-95 60-37 64. 7.29-06 26-58 29-67 40-0 2. 0-75 57. 25-74 51.30-06 11-22 101.49.31-66 101. 33.50-13 37-31 Arietis. . . . 21-85 33-75 7 1(61) Cygni. Moon's L.L. . 98.19. 2-87 16-75 21-70 33-60 59.47.41-19 43-17 29-90 37-0 1. 42-09 56. 36-56 48. 44-80 11-78 97.32. 13-18 aAndromedap 21-30 33-20 97. 16. 45-08 37-27 y Pegasi .... a Arietis. .. . 22-10 21-60 34-00 33-50 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. 1826. Oct. 15. Moon's U.L. The correction for increase of N.P.D. during the passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (399) I'enr, [on tb, and Day. Vame of Object. Circle Reading. Zenith Point 3iS.31'. Apparent Zenith Distance. Baro- meter. Thermometer.! Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon'i N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 820. Oil it " // o / // It in. o / it / // / // // o / ii Jov. 8 * Aquarii. . . 21-55 34-55 Moon's L.L.. 93.45. 1-83 14-00 55. 13. 40-45 39-62 29-98 36-0 1.26-18 55. 53-76 45.43-89 11-78 . 93. 0. 56-04 92. 45. 39-63 37-24 a Pegasi . . . 22-20 35-20 aAndromedas 20-60 33-60 y Pegasi . . . 21-15 34-15 9 a AquilfB. . . 22-95 35-45 a. Aquarii.. . 2-2-55 35-05 a. Pegasi . . . 22-65 35-15 Moon's L.L. 89. 9.26-58 37-08 50.38. 3-77 1-77 30-10 36-0 1. 13-27 55.18-12 42. 34-00 11-36 88.28.15-33 88.13. 8-66 37-21 y Pegasi . . . 23-10 35-60 11 Moon's L.L. 80. 35. 55-50 68-85 42. 4.33-03 33-70 29-54 52-0 0. 51-57 54. 26-96 36. 17-51 - 9-66 80. 0.39-02 79. 45. 46-32 37-16 a Arietis. . . 22-16 34-84 12 Pegasi . . . 23-01 35-69 aAndrometia; 22-36 35-04 y Pegasi . . . 22-36 35-04 Moon's L.L. 76. 57. 18-77 31-03 38. 25. 56-06 55-64 29-38 41-0 0. 46-12 54. 10-89 33. 28-88 - 8-35 76. 24. 43-37 76. 9.55-07 37-13 . Arietis . . . 22-81 35-49 41 Arietis . . 22-66 35-34 14 Moon's U.L. 71. 12.21-98 31-25 32. 40. 58-76 55-97 29-25 39-0 0. 37-29 53. 55-56 28. 55-16 4-66 70. 43. 56-77 70. 58. 40-88 37-07 16 a Aqnilae. . . 23-72 35-78 a. Pegasi . . . 23-42 35-48 aAndromedae 24-17 36-23 y Pegasi . . . 23-42 35-48 a, Arietis. . . 22-3-2 34-38 41 Arietis. . 22-07 34-13 Moon's U.L. 69.51.23-00 33-83 31.19.60-01 58-77 29-74 33-0 0. 36-43 53. 56-24 27. 50-87 2-30 69.24. 4-58 69. 38. 48-88 37-04 21 a. Arietis . . . 36-05 22 Moon's L.L. 86. 44. 33-57 48. 12. 57-71 30-04 41-0 1. 6-46 57. 20-68 42. 33-66 + 12-60 86. 3. 5-04 85.47.24-89 36-86 24 aAndromedae 36-15 y Pegasi . . . 35-15 Aldebaran.. 36-10 y Pegasi . . . 26-55 a, Arietis . . . 26-80 41 Arietis . . 27-10 Aldebaran. . 27-50 Moon's L.L. 96.47. 5-3" 58. 15. 38-38 29-05 31-0 1. 34-67 59. 16-48 50. 13-29 + 13-54 95. 58. 35-23 95. 42. 23-45 36-80 Dec. 4 a Aquilae. . . 27-20 36-10 The Moon's U. L, or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. (400) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.] Refrac- tion. Tabular Horizontal Equatorea Parallax. Parallax. Increase of Moon 'a N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D.ofU.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity o| Ecliptic. Troughton. Jones T. J. T. J. 23.27' 1826. O ' " " f it Or" ft in. / it / // i a H O / It M Dec. 4 Moon's L.L. . 100. 2. 26-83 34-10 61.30.60-49 58-86 29-45 37-0 1.47-93 57. 43-40 50. 33-55 12-14 99. 13.48-13 98.58. 1-78 36-59 a Aqiiiirii . . . 26-60 35-50 a Arietis . . . . 26-05 34-95 Aldebaran. . . 25-50 34-40 8 y Pegasi .... 25-70 34-30 * Mooii's L.L. . 81.55.10-48 19-58 43. 23. 43-78 44-38 29-47 47-0 0. 54-43 54. 42-06 37 23-17 10-03 81.18.47-30 81. 3.50-48 36-51 J Leonis . . . . 25-80 34-40 9 Cygni 27-90 36-30 Pegasi .... 27-40 35-80 10 a Arietis. . . . 25-25 33-65 Moon's L.L. . 74. 52. 29-73 39-05 36.21. 3-38 4-30 29-80 50-0 0. 42-58 54. 4-41 31.51-17 - 7-27 74.21.24-45 74. 6.37-92 36-48 Aldebaran. . . 27-00 35-40 $ Leonis .... 26-55 34-95 j3 Leouis .... 26-60 35-00 11 a Aquilae. . . . 25-41 33-49 a Pegasi .... 27-01 35-09 y Pegasi .... 26-46 34-54 a, Arietis. . . . 26-81 34-89 Moon's L.L. . 72.21.44-53 49-60 33. 50. IS'll 15-10 29-80 47-0 0. 39-04 53. 57-44 29. 50-85 5-40 71.52.32-13 71. 37. 47-49 36-47 12 Moon's L.L. . 70. 41. 45-02 48-72 32. 10. 18-42 13-80 29-47 48-0 0. 36-16 53. 57-57 28. 31-92 3-16 70.13.45-44 69.59. 0-77 36-46 Aldebaran. . . 26-47 35-03 13 a Aquilae. . . . 26-67 35-23 a Pegasi .... 26-52 35-08 aAndromedae 26-67 35-23 y Pegasi . 20-5-2 35-08 a Arietis.. . . 25-47 34-03 a Ceti 25-3-2 Aldebaran. . . 26-02 Moon's L.L. . 69. 58. 25-05 34-10 31. 26. 58-76 59-24 29-49 44-0 0. 35-47 54. 3-63 28. 0-37 0-63 69. 30. 56-66 69. 16. 10-33 36-44 14 y Pegasi .... 25-01 Moon's L.L. . 70. 15. 33-00 31.44. 7-55 29-5-245-0 0. 35-83 54. 14-78 28. 19-97 -f- 2-08 09. 47. 47-42 69. 32. 58-05 36-42 21 y Tauri - 24-01 33-79 j Orionis. . . . 25-51 35-29 i Orionis. . . . 25-26 35-04 Orionis. . . . 24-76 34-54 Moon's L.L. . 94.41.30-10 38-92 56.10. 5-21 4-25 30-08 32-0 1. 30-31 57. 57-26 47. 57-20 + 12-87 93.55.12-64 93. 39. 22-51 36-35 1827. Jan. 3 Moon's L.L. . 88. 6.55-30 49.35.31-64 29-36 23-5 1. 10-74 56. 8-69 42. 33-54 11-75 87. 25. 42-52 87. 10. 22-03 36-31 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (401) Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer. I Refrac- tion. Tabular horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1827. o / // f it II o / H in. o , , , // O 1 II H ,Jan. 3 a, Ceti 24-30 Aldebaran . . 23-10 1 Orionis. . . . 23-70 e Orionis 23-55 8 Moon's L.L. . 71. 17. 2-82 ^ 32. 45. 37-49 29-76 47-0 0. 37-43 54. 2-43 29. 2-60 - 4-07 70. 48. 38-32 70. 33. 62-33 36-32 9 Aldebaran. . . 25-13 Moon's L.L. . 70. 11. 19-08 31. 39. 53-75 29-70 43-0 0. 36-10 54. 6-19 28. 12-10 - 1-64 69.43.41-32 69. 28. 54-29 36-32 1 Orionis. . . . 25-53 e Orionis. . . . 25-63 a Orionis. . . . 25-03 10 Moon's L.L. . 70. 4.39-28 31. 33. 13-84 29-27 45-0 0. 35-28 64. 17*59 28. 12-65 + 0-99 69. 36. 57-41 69.22. 7-28 36-33 J Leonis .... ^ A returns. . . . 25-63 25'48 11 Moon's L.L. . 70.59. 1-22 12-17 32. 27. 36-22 37-57 29-18 36-0 0. 37-12 54. 35-06 29. 5-67 + 3-72 70. 30. 26-55 70.15.31-64 36-33 12 Aldebaran. . . 25-80 35-40 Capella 24-85 34-45 (3 Tauri 24-30 33-90 J Orionis. . . . 25-85 Orionis . . . 25-05 34-65 Moon's L.L. . 72.53. 4-87 34.21.39-62 29-79 32-5 0.41-03 54. 57-22 30. 48-86 + 6-30 72. 22. 47-42 72. 7.46-46 36-34 13 Moon's L.L. . 75.42. 5-85 37. 10. 40-34 29-56 47-0 0.43-81 55. 22-85 33. 15-83 + 8-55 75. 9.38-80 74. 54. 30-84 36-36 14 Aldebaran. . . 25-85 6 Tauri 2535 Moon's L.L. . 79. 17. 59-02 40, 46. 33-57 29-76 35-5 0.51-36 55. 50-87 36. 16-39 + 10-32 78. 42. 40-79 78.27.25-17 36-36 Arcturus. . . . 25-70 e Bootis 24-90 Feb. 3 a Arietis. .. . 26-30 34-20 Moon's L.L. . 74. 33. 27-82 33-58 36. 1.61-34 59-20 30-38 30-0 0. 44-74 54. 28-77 31. 50-94 7-01 74. 2. 23-0 J 73. 47. 29-82 36-57 Aldebaran. . . 26-95 34-85 |3 Tauri 26-70 34-60 a Orionis. . . . 25-95 33-85 4 Moon's L.L. . 72. 12. 5-95 13-18 33. 40. 39-50 38-43 30-40 30-0 0.41-02 54. 13-45 29.52-16 4-99 71. 42. 54-75 71.28. 6-75 36-59 Aldebaran. . . 26-25 34-55 (3 Tauri 26-25 34-55 a Orionis. . . . 26-30 34-60 Pollux 27-00 35-30 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. GREENWICH LUNAR REDUCTIONS. 3(F) (402) EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Name of Object Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter rmometer.l Refrac- tion. Tabular Horizontal Equatoreal Parallax. Increase of Moon's N.P.D. during t he- Passage ol Geocentric N.P.D. of U.L or L. L., and of Center, at Transi Tabular Obli- quity ol Ecliptic. Day. Troughton. Jones T. J. T. J. .= Parallax. Seim- diameter. of 1 L. or 2 L. 23. 27'. 1827. o f it a if II Q / ft It in. o / /; ' a / H O 1 II It Feb. 5 a Arietis . . . 27-05 35-35 Moon's L.L. 70. 43. 13-20 22-22 32. 11. 46-74 47-46 30-2(5 3-2-5 0. 38-38 54. 9-36 28. 39-35 - 2-69 70. 15.10-75 70. 0.22-86 36-60 Arcturus . . . 25-50 33-80 6 Aldebaran. . 27-30 35-00 Moon's L.L. 70.11.18-67 25-80 31. 39. 51-94 51-07 30-21 33-0 0. 37-49 54. 15-78 28. 17-08 0-14 69. 43. 33-99 69. 28. 44-35 36'61 7 a Arietis . . . . 27-05 34-75 y Tauri 27-75 35-45 Aldebaran . . 27-10 34-80 /3 Tauri 27-30 35-00 Moon's L.L. . 70.39. 8-95 16-73 32. 7.41-65 41-73 30-30 32-0 0. 38-37 54. 31-88 28. 47-98 + 2-50 70. 10.51-51 V 69. 55. 57-47 36-63 8 a Arietis . . . . 26-58 34-62 y Tauri , 25*43 33-47 Aldebaran. . . 26-98 35-02 /3 Tauri 25-73 33-77 Moon's L.L. . 72. 7. 7-90 14-63 33.35.41-72 40-41 30-33 28-0 0. 40-97 54. 55-53 30. 11-37 + 5-19 71.37.27-41 71.22.20-91 36-04 9 a Arietis .... 25-71 34-49 y Tauri 25-56 34-34 Aldebaran. . . 25-31 34-09 a Orionis. . . . 25-51 34-29 Moon's U.L. . 74. 2. 7-27 14-07 35. 30. 41-75 39-77 30-15 27-0 0. 43-84 55.25-15 31. 59-21 + 7-66 73. 30. 39-66 73. 45. 48"25 36-65 12 J Orionis. . . . 27-05 f Orionis .... 26-80 Orionis. . . . 26-20 a Orionis. . . . 27-15 Moon's L.L. . 86. 23. 23-53 47.51.56-73 29-86 33-0 1. 6-35 57. 6-72 42. 9-29 + 12-37 85.42.28-09 85.26.51-76 36-69 13 y Orionis . . . 27-40 } Orionis . . . 27-95 E Orionis . . . 27-40 5 Orionis . . . 27-50 Moon's L.L. . 91. 14. 10-03 52. 42. 42-47 30-02 29-0 1. 19-89 57. 38-09 45. 39'68 + 12-82 90. 29. 57-43 ^ 90. 14. 12-53 36-70 14 7 Orionis. . . . 26-90 e Orionis. . . . 27-60 5 Orionis. . . . 27-35 a Orionis. . . . 27-20 Vloon's L.L. . 96. 8. 2-10 57.36.34-84 29-76 31-5 1. 34-47 58. 5-88 48. 52-39 + 12-96 95. 20. 51-81 95. 4.59-32 36-70 15 f Orionis. . . . 26-75 34-65 f Orionis. . . . 27-00 34-90 a Orionis. . . . 26-55 34-45 Moon's L.L. . 00. 48. 27-58 37-53 62.17. 1-09 3-14 29-95 22-0 1. 57-02 58.29-18 51.35-91 + 11-88 99. 58. 57-04 1 99.42.58-18 36-72 The Moon's U. L. or L. L. was usually observed wheo the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 36. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (403) Year, Month, Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. iaro- mometcr.l Refrac- Tabular lorizontal quatoreal Parallax. ncrease of Moon's N.P.D. ur'mg the * as sa go of Geocentric .P.O. of U.L. or L. L., and of 'abular Obli- uity of cliptic. and i Day. Troughton. Jones. T. J. T. J. rneter. 1 tion. Parallax. Seini- diameter. Center, at 1 ransit of 1 L. or 2 L. 3.27'- II / /i / // ft O t it // 1827. O II " O ' " In. O Feb. 15 a Serpentis. . 5-65 33-55 16 Aldebaran. . . 5-95 34-95 Pollux 6-65 35-65 Vloon's L.L. . 04. 57. 56-1865-45 66. 26. 30 42 0-69 9-84 20-0 2. 20-83 8. 48-49 3. 44-18 + 10-35 04. 6.39-49 03. 50. 35-36 36-73 a Serpentis. . 4-65 33-65 y Herculis. . . 5-80 34-80 It y Orionis. . . . 27-35 35-45 Orionis. . . . 7-70 35-80 i; Orionis. . . . 27-10 35-20 Vloon's L.L. . 08. 18. 41 -48 50- 10 9. 47. 14-45 4-97 9-87 17-0 2. 47-68 59. 3-17 55. 15-32 + 7-95 07. 26. 16-95 07. 10. 8-81 36-75 a Serpentis. . 25-95 34-05 Mar. 6 Vloon's U.L. . 70. 4.55-57 31.33.27-61 28-84 46-0 0. 34-69 54. 20-51 28. 14-27 + 1-33 69.37. 8-63 69. 51. 59-56 36-84 /* Herculis . . 27-30 j Herculis. . . 28-05 K Lyrse 28-50 ri ^ i Herculis . . 28-00 9 Procyon .... 27-60 Moon'sU.L. . 75.55. 6-43 37. 23. 37-88 29-3733-0 0. 45-16 55.44-04 33. 38-51 + 8-73 75.21.57-73 75.37.11-48 36-84 a Aquilae. . . . 27-70 10 Aldebaran . . 29-60 36-00 j3 Tauri 29-3035-70 Procyon 28-90 35-30 Pollux 29-10 i.vsn Moon'sU.L.. 79. 34. 30-25 34-17 41. 2.61-02 58-54 29-66 37-0 0. 51-52 56.25-67 36.51-15 + 10-60 78.58.11-48 79. 13. 36-60 36-85 12 (3 Tauri 28-70 13 a. Cygni. . . . 28-30 14 Pollux 28-05 Moon's L.L. 98.59.21-45 60. 27. 53-56 29-78 42-0 1. 43-29 59. 0-18 51. 9-16 + 12-6 98.10. 2-23 97. 53. 54-9 36-83 1 Pollux 27-15 e Leonis. . . . 26-70 Regulus . . . 26-50 y Leonis. . . . 26-90 Moon's L.L. 103.26.32-53 64.55. 5-72 29-8i 36'C 2. 6-9 59. 20-8 53. 34-6 + 11-2 102.35.11-2 102. 18. 58-2 36-83 1 Pollux 26-9C Moon's L.L. 109. 47. 35-2S 1 71.16. 8-4 29-8C 36-( 12.54-0 59. 31 -9C 56. 13-1 + 5-8 108.54.17-1 108.38. 1-1 36-82 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co- Latitude 38. 31'. 21" '93. > 3 (F)2 (404) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer. 1 Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Pas sage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L.or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1827. O * // tt H n o / '/ it It o / // / /; f II // O ' // Mar. 18 26-55 26-70 y Leonis .... 27-15 Apr. 4 Moon's U.L. . 72.17.4T15 45-50 33.46.12-9711-62 29-99 51-0 0. 38-87 54. 38-36 30. 10-16 + 5-27 71. 47. 57-67 72. 2.53-48 36-61 Procyon .... 27-70 33-40 Pollux 28-00 33-70 38 Lyncis . . . 28-70 34-40 a. Hydras . . . 28-30 34-00 5 Moon's U.L. . 74. 43. 31-07 36-03 36. 12. 2-58 1-94 29-96 55-0 0.42-16 55. 8-85 32. 22-04 + 7-54 74. 1 1 . 36-77 74. 26. 40-91 36-60 Regulus 28-70 34-30 Y Leonis .... 27-75 33-35 j I.eonis 28-25 33-85 (3 Leonis .... 29-25 34-85 7 Moon's U.L. . 81.53.56-90 09-10 43. 22. 33-84 33-14 30-12 52-0 0. 55-02 56. 36-43 38. 40-38 + 11-13 81. 15.58-93 81.31.26-99 36-56 Regulus 22-35 35-25 y Leonis .... 23-05 35-95 8 Moon's U.L. . 86. 23. 13-67 27-70 47.51.50-78 51-91 30-15 48-0 1. 4-94 57. 28-53 42.25-16 + 12-35 85.41.40-71 85. 57. 23-00 36-54 J Leonis 22-70 35-60 a Cvuni . . 24-15 37-05 9 Procyon .... 23-05 35-95 a Hydras. . . . 23-40 36-30 22-40 35-30 y Leonis . . . 22-40 35-30 Moon's U.L. . 91. 13.58-73 7332 52 42. 35-92 37-61 29-83 47-0 1. 16-44 58. 20-86 46.13-31 + 13-05 90. 28. 48-78 90. 44. 45-37 36-52 11 Capella 23-34 - Castor 22-04 Procyon .... 22-79 Pollux 22-29 Moon's L.L. . 101. 27. 34-07 62.56.11-45 29-74 45-0 1.53-77 59.47-75 53. 4-07 + 12-28 100. 36. 35-36 100. '20. 15-05 36-48 12 Castor 22-09 Leonis .... 21-69 y Leonis .... 22-59 Moon's L.L. . 105. 36. 27-75 67. 5. 5-47 29-84 43-0 2. 18-27 60. 13-21 55. 17 75 + 10-44 104.43.38-30 104.27.11-08 36-45 aCygni 22-74 May 3 Moon's U.L. . 76. 36. 15-88 38. 4. 54-68 29-80 65-0 0. 44-00 55. 3-79 33. 45-58 + 8-50 76. 3. 6-53 76. 18. 9-29 35-95 Regulus .... 20-90 y Leonis . . . . 21-30 J Leonis 21-20 a. Aquilas. . . . 21-40 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -<)3. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (405) Vear, Month, and Day. lame of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. laro- meter. Thermometer.] Refrac- tion. Tabular horizontal Lquatoreal Parallax. Parallax. ncreueof Moon's N.P.D. uring the 'assage of Semi- diameter. Geocentric ' V.P.D. of U.L. or L. L., and of 1 Center, at Transit of 1 L.or2L. Tabular Obli- quity of Ediptic. Troughton. Jones. T. J. T. J. 3.27'. Q f If 1827. o / /' II /' '/ O ' " II It, May 7 Moon's U. L. 93.45. 2-18 9-37 5. 13. 42-75 43-17 9-65 44-0 1.23-81 58.26-23 47. 48-45 + 12-85 92. 58. 27-40 93. 14. 25-45 5-84 19-90 6-80 y Aquilas. . . . 18-75 5-65 a, Aquilie .... 19-25 6-15 8 Moon's U. L. 98. 33. 53-37 73-07 0. 2.33-72 6-77 9-76 43-0 1.41-45 59. 22-70 51. 15-40 + 12-65 97. 44. 10-58 98. 0.24-07 35-81 9 1 Aquilae .... 19-80 6-20 y Aquilae. . . . 19-05 6-05 10 a Hjdrae. . . . 20-80 20-95 VIoon's U. L. 106. 47. 30-08 8.16. 9"29 9-65 41-0 2. 26-21 60. 46-75 56.17-13 + 9-31 105. 53. 30-99 106. 10. 7-42 35-76 ' Aquilae. . . . 19-95 x Aquilae. . . . 21-45 11 Moon's U. L. 109. 24. 37-05 70. 53. 17-32 29-90 43-0 2. 48-49 61. 4-11 57. 32-06 + 5-76 108.30. 1-44 108.46.42-61 35-73 ; Aquiloe .... 18-45 f Aquilae .... 19-30 20-35 Aquilae .... 20-80 12 Regulus 19-65 y Leonis .... 21-15 Spica 21-40 Moon's U. L. 110.35.29-90 72. 4. 9-17 29-90 38-0 3. 2-09 61. 1-65 57. 53-91 + 1-29 109.40.40-57 109.57.21-06 35-70 a. Aquilae. .. . 20-70 15 & Lvrae . . 21'2( 37-20 y Aquilae. . . . 21-30 37-:50 a. Aquilae 22-00 38-01 Moon's U. L. 105. 21. 28-35 41-73 66.50. 7-05 4-43 29-51 43-5 2. 14-96 59. 18-23 54. 20-94 9-99 104.29. 11-70 104. 45. 23'9h 35-62 <* Cygni 20-70 36-7i June 5 Moou's U. L. 100.51. 1-97 19-73 62.19.41-69 43-5 29-51 54'0 1. 48-00 59. 12-95 52. 15-5 + 11-8 100. 0.25-15 100. 16. 35-96 35-19 a Draconis . . 20-9. r 36-85 Arcturus. . . . 20-1. 36-05 e Hootis . . . . 19-71 35-60 /3 Lyrx 20-30 36-20 1 Moon's U. L. 108. 10. 52-55 71-17 69. 39. 32-20 34-9 30-OC 48-C 2. 36-5 60.50-31 56. 52-4 + 7-78 107. 16. 31-84 107.33. 9-24 35-14 J Aquilae . . . . 22-45 38'3o y Aquilae . . . 19-0o 34-95 a Aquilae. . . 19-7J 35'6a |3 Aquilae. . . 20-1 3(5-05 20-8 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co- Latitude 'M. 31'. 21" "93. A J (406) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38.31'. Apparent Zenith Distance. Baro- meter. Thermometer.l Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi, diameter. Oeocentric N.P.D. of U.L. or L. L., and of Center, at Transit of !L.or2L. Tabular Obli. quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1827. / II // n ' a II in. o / // , * u / ;; # June 8 Moon's U.L. . 110.10.27-03 71.39. 6-24 30-22 49-0 2. 55-55 61. 16-79 57. 59-86 + 3-83 109. 15. 20-03 109.32. 4-66 35-11 9 y Aquilae. . . . a. Aquilae .... (3 Aquilse. . . . UO.38.27'27 20-05 21-15 21-10 25-85 72. 7. 2-41 30-21 54-0 2. 58-43 61. 22-90 58. 15-01 0-97 109.43. 6-79 Moon's U.L. . 109. 59. 53-09 35-12 10 y Aquilae . . . a. Aquilae. . . . 13 Aquilae .... Spica 24-10 24-55 24-95 24-40 24-40 Arcturus. . . . a Cor. Bor. . . 24-26 a. Serpentis . . Moon's U.L. . 109. 30. 22-65 24-30 70. 58. 58-31 30-11 49-0 2. 48-44 61. 7-29 57. 37-04 - 5-64 108.35.26-00 11 Spica 25-00 23-75 36-90 35-65 108.52. 8-04 35-10 Arcturus. . . . a. Serpentis . . J Aquilae .... Moon's U.L. . 106. 56. 36-53 48-13 23-85 23-40 35-76 35-30 68. 25. 12-53 12-23 30-02 50-0 2. 26-39 60. 32-85 56. 7-81 - 9-31 106. 2.43-58 106. 19. 16-22 35-09 July 3 Moon's U.L. . 103. 5.15-80 27-08 64. 33. 51-45 50-41 29-93 63-0 1. 58-48 58. 51-86 52. 58-83 + 10-71 102. 14. 1-80 102.30. 6-85 34-95 Arcturus .... Bootis 24-89 24-29 23-69 24-54 37-21 36-61 36-01 36-86 a Serpentis . . a Aquilae. . . . 5 Serpentis . . Moon's U.L. . 109. 15. 49 13 62-62 23-93 36-57 70. 44. 25-19 26-04 30-34 56-0 2. 45-08 00. 27-67 56. 54-61 + 5-83 108.21.32-19 108.38. 3-41 34'96 a Ophiuchi . . Aquilae .... a Aquilae .... 23-78 24-63 23-43 36-42 37-27 36-07 6 Arcturus .... 24-13 36-67 a, Serpentis . . Moon's U.L. . 110.32.48-87 63-48 23-73 36-27 72. 1.24-81 26-89 30-31 61-0 2. 65-53 60. 59'06 57. 50-52 + 1-67 109.37.51-12 109. 54. 30-91 34-96 a. Ophiuchi . . a Aquilae .... 24-08 24-28 36-62 36-82 8 Arcturus .... 23-50 a Serpentis . . a Herculis . . 23-80 23-30 Moon's U.L. . 108. 29. 27-92 69.58. 4-12 30-27 62-0 2. 38-33 61. 6-29 57. 14-22 7-53 107.34.50-16 107.51.31-92 34-96 a Aquilae. . . . [ 24-60 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co- Latitude 38. 31'. 21" -93. 1827. July 8. Moon's U.L. The correction for the increase of N.P.D. during the passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and of Center ;" which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (407) ' Year, Month, Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.l Refrac- Tabular Horizontal Equatorial Parallax. Iiiprcaie of Moon's N.P.D. during the Geocentric N.P.D. of U.L. or L. L., and of Tabular Obli- quity of Scliptic. and Day. Troughton. Jones. T. J. T. J. meter. ha V .c tion. Parallax. Semi, diameter. Center, at Transit of 1 L. or 2 L. 23.27'. 1827. / II U // tr O / II if in. / // i a / // It O 1 II // July 9 a Serpentis . . 23-53 36-77 x Herculis. . . 23-48 36-72 a Opbiucbi . . 23-08 36-32 a Aquilae. . . . 22-33 35-57 Moon's U.L. . 105.21. 6-68 16-62 66. 49. 43-57 40-27 30-13 60-0 2.13-18 60. 39-85 55. 35-57 10-79 104.27.30-67 " 104.44. 5-22 34-97 10 Arcturus. . . . 23-05 ' a. Herculis. . . 21-80 a, Ophiuchi . . 22-15 i Aquilae. . . . 22-25 Moon's U.L.. 101. 14.31-35 62.43. 9-04 29-92 56-0 1.50-88 59. 56-95 53. 5-76 12-58 100.23. 3-51 100. 39. 26-34 34-97 11 Arcturus. . . . 23-50 a. Serpentis . . 23-45 a Ophiuchi . . 22-10 a Aquilae. . . . 22-05 Moon's U.L. . 96. 34. 14-95 58. 2.52-17 30-05 54-0 1. 32-58 59. 3-17 49. 54-85 13-10 95. 45. 38-73 96. 1.46-87 34-97 12 Arcturus. . . . 21-75 x Cor. Bor. . 21-95 a. Herculis . . 21-95 a Aquilae .... 21-95 Moon's IT. L. . 91.42.32-32 53.11.10-42 30-11 52-0 1. 17-69 58. 4-42 46. 17-78 12-76 90. 57. 19-50 91.13.11-58 34-98 13 a Serpentis . . 25-42 a Ophiuchi . . 25-02 J Aquilas .... 25-27 * Aquihc .... 25-52 Moon's U.L. . 86. 57. 14-92 48. 25. 49-61 30-08 49-0 1. 5-95 57. 6-20 42. 31-33 11-88 86.15.34-28 86. 31. 10-47 34-99 16 a Serpentis . . 26-26 Herculis. . . 25-16 a Ophiuchi . . 25-66 a Aquilse. . . . 25-66 Moon's U.L. . 75. 19. 25-28 36. 47. 59-59 29-96 56-0 0. 43-00 54. 51-64 32. 39-63 7-48 74. 47. 17-41 75. 2.16-85 35-01 30 Moon's U.L. . 101.29. 5-58 62. 57. 51-03 29-92 68-0 1. 49-37 57. 53-12 51.22-87 + 10-69 100. 39. 28-77 100. 55. 17-77 35-14 e Bootis 15-85 a Herculis. . . 13-20 a. Ophiuchi . . 14-20 Aldebaran. . . 14-95 Aug. 2 Moon's U.L. . 109. 59. 0-83 8-67 71.27.46-50 45-88 29-70 70-0 2. 43-56 59. 52-90 56. 36-63 + 3-53 109. 5. 11-52 109. 21. 33-25 35-19 a, Herculis. . . 14-07 22-53 a, Ophiuchi . . 13-87 22-33 14-62 23-08 a. Cvarni . . 14-77 23-23 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. (408) REDUCTION OF GREENWICH LUNAK OBSERVATIONS. Year, Month, NHIHC of Obicct Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- raometer. 1 Refrac- Tabular Horizontal Eciuatoreal Parallax. Increase of Moon's N.P.D. during the Geocentric N.P.D. of U.L. or L. L., and of Tabular Obli- quity of Kcliptjc. and Day. Trough ton. Jones. T. J. T. J. meter. 1 & tion. Parallax. Semi- diameter. Center, at Transit of 1 L. or 2 L. 23.27', 1827. Q 1 II // /' U o ' a it in. o / it / it / // // o / // If Aug. 3 a. Herculis . . 13-72 2-2- 18 a Ophiuchi . . 14-07 22-53 Moon's U.L. . 1 10. 27. 42-63 51-05 71.56.28-70 28-66 29-60 62-0 2. 50-25 60. 20-96 57. 12-74 0-70 109. 33. 28-82 109. 49. 58-21 35-19 4 Moon's U.L. . 109. 28. 11-63 70. 56. 49-24 29-82 64-0 2. 41-46 60. 36-19 57. 6-94 5-12 108. 33. 50-81 108. 50. 24-36 35-20 6 |3 Lyrse 15-44 22-66 Aquilae .... 14-69 21-91 a Cygni 15-34 22-56 Moon's U.L. . 103. 28. 28-15 35-77 64. 57. 13-06 13-46 30-25 56-0 2. 3-60 60. 17-82 54. 26-76 11-65 102. 36. 23-68 102. 52. 52-21 35-23 a Arietis .... 14-89 22-11 7 A returns. . . . 15-84 a Serpentis. . 17-89 Aquilae .... 14-99 a Aquilse.. . . 16-69 Moon's U.L. . 99. 4.20-35 60.33. 4-00 30-09 51-0 1. 42-97 59. 44-28 51.49-85 -13-01 98.14. 6-04 98. 30. 25-41 35-24 8 Arcturus .... 15-23 a Serpentis. . 17-38 Aquilse. . . . 16-48 a Aquilae. . . . 16-88 Moon's U.L. . 94. 14. 24-07 55.43. 7-58 29-94 52-0 1.24-79 58. 58-66 48.32-19 13-28 93.27. 8-83 93. 43. 15-74 35-26 11 fi Lyrae 18-82 Aquilae .... 17-67 a Aquilae. . . . 17-87 Cygni 18-87 Moon's U.L. . 80. 24. 22-53 41.53. 4-20 29-52 51-0 0.51-29 56. 19-32 37. 23-88 10-11 79. 47. 43-43 80. 3. 6-82 35-30 12 ? Aquilae .... 18-57 a Aquilae. . . . 17-37 a Cygni 18-27 Moon'sU.L. . 76. 46. 54-43 38. 15. 36-27 29-81 47-0 0. 45-93 55. 33-67 34. 12'08 8-39 76. 13. 23-66 76. 28. 34-58 35-31 Capella 18-42 Sep. 1 o Herculis. . . 20-47 24-73 * Aquilae .... 20-57 24-83 Moon's L.L. . 108. 37. 10-05 13-87 70. 5.49-59 49-15 30-26 56-0 2. 39-01 59. 48-24 56. 4-13 7-02 107. 43. 53-20 107. 27. 32-75 35-51 a Aquilae. . . . 20-42 24-68 j3 Aquilae. . . . 20-37 24-63 2 8 Lvras . . 20-62 25-28 a Aquilae. . . . 19-92 24-58 Moon's L.L. . 105. 38. 58-93 62-47 67. 7.38-34 37-21 30-22 54-0 2.17-16 59. 46-13 54. 53-92 10-08 104. 46. 33-03 104. 30. 13-16 35-51 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" "93. * SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (409) i year, donth, Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.l Refrac- Tabular rlorizontal iquatoreal Parallax. Increase f Moon's N.P.D. luring the Geocentric N.P.D. of U.L. or L. L., and of Tabular Obli- quity of icliptic. and Day. Troughton. Jones. T. J. T. J. meter. S e tion. Parallax. assagt: of Semi, diameter. Center, at Transit of 1 L. or 2 L. 23.27'. 1827. Oil // If o / // it in. o / U / // / // it o / 1 iep. 2 a Cygni 21-72 26-38 & Tauri 20-12 24-78 5 21-97 y Aquilae. . . . 19-72 a, Aquilae. . . . 20-02 /3 Aquilae .... 20-82 Moon's U. L. 91. 46. 28-67 53.15. 8-04 30-20 51-0 1. 18-28 58. 30-21 46. 40-77 12-91 91. 0.54-57 91. 16. 54-06 35-53 6 y Aquilas. . . . 19-26 a. Aquilae .... 19-16 /3 Aquilae . . . 20-06 Tauri 18-46 7 Moon's U. L. 82. 28. 28-55 43.57. 9-31 30-16 54-0 0. 55-99 57. 0-59 39.21-81 10-96 81.49.54-46 82. 5.29-12 35-54 28 Moon's L.L. . 109. 8.4033 45-00 70. 37. 19-39 19-86 29-66 55-0 2. 40-67 59. 13-73 55. 42-78 5-61 108. 15. 45-06 107. 59. 34-04 35-47 J Aquilae. . . . 21-00 25-20 y Aquilae .... 20-40 24-60 a. Aquilae. . . . 21-25 25-45 /3 Aquilae. . . . 21-10 25-30 29 /3 Lyrae , 22-75 26-95 y Aquilas. . . . 21-35 25-55 a. Aquilae . . . 21-00 25-20 (3 Aquilae . . . 22-25 26-45 Moon's L.L. . 106. 38. 25-35 28-73 68. 7. 3-51 2-69 29-62 54-0 2.21-11 59. 7-44 54. 41-85 - 8-73 105. 46. 13-02 105.30. 3-71 35-46 Oct. 1 Moon's L.L. . 98. 56. 42-97 60. 25. 22-73 29-74 57-0 I. 40-01 58. 38-28 50. 48-87 -12-17 98. 7.47-97 97.51.46-62 35-43 2 8 Aquilae .... 20-65 26-05 y Aquilae. . . . 19-75 a. Aquilae. . . . 20-00 25-40 '/3 Aquiloe. . . . 20-55 25'95 a. Aquarii.. . . 20-25 25-65 Moon's L.L. . 94. 19. 27-52 36-08 55.48. 7-16 10-32 29-9853-0 1. 24-99 58. 14-08 47. 58'54 12-54 93.33. 9-66 93. 17. 14-93 35-42 3 y Aquilas . . . 20-72 25-58 a. Aquilae . . . 20-32 25-18 a, Aquarii. . . 20-97 25-83 a. Pegasi . 20-07 24-93 Moon's L.L. . 89.35. 1-60 5-35 51. 3.41-08 39-97 30-23 52-0 1. 12-28 57. 43-98 44. 42-58 12-25 88.51.44-41 88. 35. 57-90 35-40 4 a, Aquilae. . . 21-47 /3 Aquilae. . . ;20-02 a Aquarii . . 20-47 a. Pegasi . . . 20-12 The Moon's U. L, or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding; to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" "93. GREENWICH LUNAR REDUCTIONS. 3(G) (410) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter, Thermometer. 1 Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P. D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, atTransit of 1 L. or 2 L. Tabular Obli. quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1827. ' H t O i II II in. o / // / // / tr " O f ii rt Oct. 4 Moon's TJ.L. . 84.28. 8-87 45. 56. 48-35 30-29 50-0 1. 0-76 57. 9-48 40. 52-56 11-39 83. 48. 29-87 84. 4. 6-96 35-39 5 a Aquarii . . . Moon's U.L. . 80.17. 8-22 20 '72 41.45.47-64 30-17 53-0 0.51-99 56. 32-38 37. 27-21 10-06 79. 40. 24-29 79.55.51-24 35-38 6 y Aquilae. . . . a, Pegasi .... a Andromedae 21-44 21-69 21-59 y Pegasi .... Moon'sU.L. . 76. 42. 27-22 20-49 38.11. 5-92 29-90 46-0 0. 46-04 55. 55-06 34. 21-79 8-34 76. 8.43-76 76.24. 0-52 35-36 7 a. Aquils. . . . a Pegasi .... a. Andromeda; 22-19 21-59 21-14 7 Pegasi .... Moon's U.L. . 73. 53. 50-03 21-89 35. 22. 28-33 29-65 46-0 0.41-22 55. 20-35 31. 49-94 6'25 73. 22. 35-29 11 Cveni. . 21-40 19-60 73. 37. 42-57 35-35 a Andromedae y Pegasi .... Moon's L.L. . 72.18.31-58 19-85 33.47. 11-25 29-20 50-0 0. 37-95 54. 13-03 29. 57-01 0-87 71.49. 13-25 71. 34. 24-39 35-27 12 y Aquilse. . . . y Aquilae. . . . a Aquilae. . . . a Pegasi .... a. Andromedae 20-45 21-64 21-49 19-64 19-99 Moon's L.L. . 74. 3.34-55 35. 32. 13-86 29-40 39-0 0.41-72 54.?. 1-45 31.23-69 + 5-69 73. 32. 59-51 73.18. 8-32 35-25 27 y Aquilae. . . . a Aquilae. . . . ,3 Aquilae. . . . Moon's L.L. . 104. 13. 0-02 8-45 17-18 17-73 17-58 23-42 23-97 23-82 65.41.42-43 44-62 29-48 53-5 2. 5-21 58. 50-30 53.27-10 -10-23 103.21.53-80 103. 5.49-17 34-93 l(61)Cygm.. 17-88 24-12 29 y Aquilse. . . . a Aquilas. . . . . 18-93 18-83 18-58 17-53 25-17 26-07 23-77 a Andromedae y Pegasi 16-88 23-12 31 a, Cygni Moon's L.L. . 86.38.51-13 56-80 18-53 48. 7. 33-09 32-52 29-70 43-0 1. 5-23 56. 55-45 42.11-34 11-43 85.58. 0-06 85.42.26-81 34-82 Nov. 1 Moon's L.L. 82.22. 1-40 43.50.43-10 29-82 42-5 0. 56-46 56. 24-79 38. 52-65 10-40 81.44. lfl-24 81.28.54-36 34-80 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. 1827. October 12. The first Zenith Point by Troughton for y Aquilse refers to the mean of six microscopes, and is therefore proper for use in combination with the observation of the Moon on October 11, which was made with six microscopes. The second Zenith Point for y Aquilse refers to the mean of two microscopes, and is therefore to be used in combination with the observa- tion of the Moon on October 12, which was made on two microscopes. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (411) i Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.! Refrac- tion. Tabular Horizontal Flquatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 2327'. , -i Qi\l*1 o / /' // ff tt / >' 4 in. o / n / // / it ff O f ft it 19 Z /. 'Nov. 2 Moon's L.L. . 78. 34. 38-58 40. 3.20-28 30-02 43-0 0.49-72 55. 54-34 35. 46-50 8-93 77. 59. 54-36 77. 44. 37-80 34-77 3 Moon'sTJ.L. . 74.57. 6-80 36. 25. 48-68 30-01 48-0 0. 43-19 55. 24-85 32. 42-18 7-08 74.25. 4-54 74.40.13-05 34-75 4 Moon's U.L. . 72. 39. 22-88 34. 8. 4-76 30-18 48-0 0. 39-90 54.58-12 30. 38-49 4-90 72. 9.23-20 72.24.24-41 34-72 5 a Aquilae . . . . 18-56 aCygni 19-21 /3 Cephei 18-36 a Andromeda; 16-36 19-01 a Andromedas 18-76 17-71 a Arietis .... 18-61 Moon's L.L. . 81.55. 2-40 43. 23. 43-88 30-00 41-0 0. 56-10 55. 5-29 37. 39-07 + 9-71 81. 18. 32-55 81. 3.29-39 34-53 24 a Aquilae .... 16-07 23-23 Moon's L.L. . 101.37.49-65 56-90 63. 6.34-01 34-09 29-83 30-0 1. 58-65 59. 3-14 52. 29-39 11-52 100. 47. 36-76 34-22 100. 31. 28-63 a Aquarii . . . 15-97 23-13 a. Pegasi .... 15-22 22-38 T Peeasi. . 15-32 22-48 27 Moon's L.L. . 88. 4.37-65 46-12 49. 33. 22-26 23-36 30-12 37-0 1. 10-43 56. 56-78 43. 8-60 -11-53 87.22.58-10 87. 7.24-48 34-16 a. Andromedae 15-72 23-08 7 Pegasi .... 14-62 21-98 a Arietis .... 15-72 23-08 29 a Aquarii . . . 15-52 22-88 a Andromedae 16-17 23-53 y Pegasi .... 15-77 23-13 Moon's L.L. . 79. 48. 13-08 18-08 41. 16. 57-46 55-10 29-39 42-0 0. 50-93 55. 47-76 36. 36-71 9-29 79. 12. 41-72 78. 57. 26-95 34-11 a Arietis . . . . 15-02 22-38 Dec. 3 a Aquilae. . . . 18-15 4 Moon's L.L. . 71.29.32-85 32. 58. 15-65 29-83 50-0 0. 37-59 54. 6-12 29. 14-60 + 1-60 71. 1. 2-17 70.46.15-16 34-01 6 a Pegasi .... 16-75 a Andromedae 17-45 Y Pegasi . . . . 16-45 Arietis 17-40 Moon's L.L. . 74.28. 1-70 35. 56. 44-69 30-14 34-0 0. 43-88 54. 1-62 31. 31-03 + 6-00 73. 57. 25-47 73. 42. 39-69 33-98 8 a Aquarii . . . 18-42 ij Pegasi 17-67 a. Pegasi 17-52 Y Pegasi 16-47 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 3 1 '. 2 1 " "93. 3(G) 2 (412) EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. i Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.! Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, atTransit of I L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. l'A:>r. 1827. / // i ft / ft // o / // // Dec. 8 Moon's L.L. 80. 22. 33-90 41.51.16-38 29-83 33-0 0. 53-74 54. 29-00 36. 9-49 + 9-02 79.47.31-58 79. 32. 38-33 33-95 10 Moon's L.L. 88. 15. 30-80 49. 44. 13-28 29-34 45-0 1. 7-90 55. 34-00 42. 12-68 + 10-76 87.34.41-19 87. 19.30-18 33-93 11 Moon's L.L. . 92. 36. 36-53 54. 5.20-75 29-28 39-0 1.20-18 56. 20-84 45. 27-03 + 11-20 91. 52. 47-03 91. 37. 23-23 33-91 13 a .Aquilae . . . J6-23 a Aquarii .. . 16-08 Pegasi . . . . 15-28 y Pegasi . . . . 15-53 2 a. Aquilas. . . 13-97 23-23 Moon's L.L. 94. 29. 10-90 21-62 55. 57. 57-15 58-61 29-98 42-0 1.27-47 58. 41-49 48. 26-81 12-71 93.42.33-18 93. 26. 30-96 33-81 a Pegasi . . . 14-32 23-58 aAndromedas 12-37 21-63 y Pegasi . . . 14-32 23-58 24 Moon's L.L. . 89. 45. 14-68 23-28 51.14. 1-29 0-62 29-74 50-0 1. 11-85 57.46-12 44. 50-78 12-14 89. 1.56-10 88.46. 9-01 33-81 aAndromedae 13-62 22-88 y Pegasi .... 13-67 22-93 a Arietis .... 12-57 21-83 Aldebaran. . . 13-72 22-98 25 a Pegasi .... 14-77 24-03 aAndromedae 13-32 22-58 y Pegasi .... 13-97 23-23 26 Moon's L.L. . 81. 6.54-00 62-68 42. 35. 40-25 39-67 30-36 47-0 0. 54-52 56. 8-24 37. 47-60 9-83 80. 30. 18-64 80. 14. 58"28 33-79 Aldebaran . . 12-92 22-18 30 a. Arietis .... 15-38 24-0-2 Aldebaran. . . 13-4822-12 Moon's L. L. 71. 32. 23-75 30-73 33. 1. 9-81 8-15 30-09 34-0 0.39-27 54. 16-33 29. 22-45 1-84 71. 3.49-57 70. 48. 59-78 33-80 Capella 13-73 22-37 (3 Tauri .... 13-18 21-82 31 Moon's L.L. . 71.19.45-82 55-37 32. 48. 31-88 32-79 29-60 46-0 0. 37-37 54. 4-66 29. 6-10 + 0-66 70. 51. 24-88 70. 36. 38-28 33-80 1828. Jan. 1 Moon's L.L. . 72. 2.48-70 33.31.34-76 29-65 41-0 0. 38-87 53. 58-61 29. 36-83 + 3-07 71. 33. 56-66 71. 19. 11-71 33-80 3 Pegasi .... 12-35 aAndromedae 13-00 7 Pegasi .... 13-80 a Arietis .... 12-05 Aldebaran. . . 13-00 $ Tauri 12-65 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAB DISTANCE. (413) V Increase Geocentric Tabular : Year, Month, and r Bay. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- ueter. Thermomel Refrac- tion. Tabular lorizontal !quatoreal Parallax. Parallax. of Moon's N.P.D. luring the 'assa^e of Semi- diameter. V. P. D. of U. L. or L. L., and of i Center, at Transit of 1 L. or 2 L. Obli- quity of Ecliptic. Troughton. Jones. T. J. T. 3. 23. 27'. 1828. O ' 1 H O 1 II n in. o t n / a / ff if o / f a Fan. 3 Moon's L.L. . 76. 1. 8-95 37.29.56-15 29-72 14-0 D. 45-78 54. 2-95 32. 42-32 + 7-07 75. 29. 28-61 75. 14. 42-47 33-81 4 Moon's L.L. . 79. 3.34-30 40.32.21-55 29-51 33-0 0. 50-77 54. 13-90 35. 3-20 + 8-52 78. 29. 39-57 78. 14. 50-44 33-81 9 aAndromedoe 13-60 23-20 Aldebaran. . . 13-50 23-10 10 a. Arietis .... 13-85 23-45 /3 Tauri 13-95 23-55 11 Moon's L.L. . 06. 35. 32-05 52-07 68. 4. 19-32 28-74 29-63 35-0 2. 26-52 58.49-82 54. 24-53 + 8-29 105. 43. 55-74 105. 27. 51-25 33-84 21 y Pegasi .... Moon's L.L. . 87. 16. 16-25 24-23 14-38 23-02 48.45. 1-44 0-78 30-12 4TO 1. 7-06 58. 9-42 43. 3145 12-14 86. 34. 10-79 86. 18. 17-34 33-94 a Arietis. . . . 14-93 23-57 Aldebaran . . 14-88 23-52 a Orionis. . . . 15-03 23-67 23 Moon's L.L. . 78. 59. 18-92 27-23 40.28. 4-57 3-48 30-23 47-0 0. 50-38 56. 16-82 36. 19-45 9-10 78.24. 5-99 78. 8.43-29 33-97 Aldebaran, . . 14-65 24-05 Capella 14-35 23-75 & Tauri 12-90 22-30 a Orionis. . . . 15-50 24-90 26 a Arietis 15-40 23-60 Moon's L.L. . 71. 59. 53-28 61-20 33. 28. 38-30 38-02 30-25 43-0 0. 39-42 54.28-15 29. 50-71 2-74 71.30.51-54 71. 15. 58-52 34-01 Capella 14-55 22-75 |8 Tauri 14-70 22-90 Pollux 15-25 23-45 27 Aldebaran . . 15-30 23-20 j3 Tauri 14-50 22-40 Moou's L.L. . 71.26.24-28 30-90 32.55. 9-65 8-37 30-32 42-0 0. 38-76 54. 10-56 29. 14-58 0-29 70. 57. 55-41 70.43. 7-1S 34-03 Procyon 14-30 22-20 Pollux 14-40 22-30 29 a Arietis 13-75 22-15 Aldebaran. . . i!3-95 22-35 a Orionis. 14-3522-75 Moon's L.L. 73. 3.47-13 53-73 34. 32. 32-92 31-12 30-03 37-0 0.41-24 53. 59-09 30. 24-72 + 4-41 72.34. 6-06 72. 19. 20-9" 34-06 Pollux 14-80 23-20 30 a Arietis. . . 14-84 23-Of Aldebaran . 13-99 22-2 1 |3 Tauri .... 13-7922-01 Procyon . . . 14-8923-11 Moon's L.L. 75. 8.29-35 34-93 36. 37. 14-97 12-33 29-90 36-0|0. 44-43 54. 3-56 32. 2-97 + 6-41 74. 37. 10-63 74. 22. 24-32 34-07 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31 '.21" '93. (414) SEDUCTION or GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer J Refrac- tion. Tabular Horizontal iquatoreal Parallax. Parallax. Increase of Moon's N. V. J). during the 'assage of Semi- diameter. Geocentric N.P.D.oi U.L. or L. L., and of Center, at Transit of 1 L.or2L. Tabular Obli- uityof Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. o * / a n O / II in o / / // n fl Q / // 1828. Feb. 2 15-36 f Tauri 16-01 Aldebaran . . 14-16 a Orionis. . . . 15-01 Moon's L.L. . 85. 9.18-42 46.38. 3-28 30-12 40-0 1. 3-18 54. 48-05 39. 38-85 + 10-05 84. 30. 59-59 84. 16. 1-14 34-11 19 Aldebaran. . . 16-65 22-75 y Orionis. . . . 17-95 24-05 Orionis. . . . 17-15 23-25 Procyon .... 16-70 22-80 20 Moon's L.L. . 77. 18. 24-50 34-43 38.47. 7-39 11-22 29-09 44-0 0. 45-96 56. 31-21 35. 11-93 8-31 76.44. 13-58 76. 28. 40-95 34-36 22 a Orionis. . . . 17-75 23-85 24 Moon's L.L. . 71.46.54-78 61-60 33. 15. 37-97 37-49 29-72 44-0 0. 38-33 54. 14-29 29. 32-81 + 1-21 71.18. 3-97 71. 3.14-73 34-40 27 Capella 15-95 23-65 y Orionis. . . . 16-60 24-30 a Orionis. . . . 16-95 24-65 28 y Orionis. . . . 16-05 23-75 Orionis. . . . 16-75 24-45 e Orionis. . . . 15-90 23-60 ? Orionis. . . . 16-40 24-10 Moon's U. L. 79.36. 6-53 14-97 41. 4.50-25 50-99 30-19 42-0 0.51-95 54. 30-58 35. 37-29 + 8-80 79. 1.18-41 79. 16. 12-09 34-44 Mar. 2 Procyon .... 15-75 38 Lyncis . . . 14-60 Moon's L.L. . 92. 3. 0-30 53.31.44-51 29-96 40-0 1.20-24 55. 43-75 44. 37-78 + 10-75 91. 19. 59-65 91. 4.45-98 34-47 5 Moon's L.L. . 103. 59. 37-50 65. 28. 22-20 29-66 29-0 2.11-26 'a7. 15-27 51. 55-28 + 8-93 103.10. 9-04 102. 54. 30-37 34-48 6 y Geminorum 15-80 2 Geminorum 15-65 (3 Cancri .... 15-20 J Hydras .... 14-55 Moon's L.L. . 106. 58. 28-90 68.27. 13-60 30-07 29-0 2. 33-52 57. 47-51 53. 35-55 + 7-10 106. 7.40-60 105.51.53-13 34-49 23 Moon's U. L. 71. 53. 49-70 59-25 33. 22. 34-32 37-27 29-38 38-0 0. 38-54 54. 20-54 29. 41-63 + 2-64 71.24.52-00 71.39.42-94 34-46 e Leonis 15-2521-85 p Leonis 15-5022-10 i) Leonis 14-60 21-20 Leonis 16-15 22-75 24 Moon's U. L. 73. 18. 51-85 64-60 34. 47. 37-79 41-24 29-62 37-0 0.41-06 54. 12-21 30. 43-70 + 7-99 72. 48. 50-76 73. 3.39-43 34-45 38 Lyncis . . . 14-0523-35 14-8524-15 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, iti the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (415) Year, tfonth, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.! Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P. D. ot U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity of Ecliptic. 23. 27'. Troughton. Jones. T. J. T. J. 1828. o > // // II o ' *' II in. o / * / // / M n o r n If rlar.24 42LeonisMin. 13-45 22-75 25 J Geminorum 13-90 23-20 i Geminorum 14-15 23-45 Moon's U.L. . 75. 30. 46-90 55-25 36. 59. 32-82 31-87 29-74 35-0 0.44-88 54. 14-62 32. 26-36 + 6-65 74. 59. 6-15 75. 13. 55-48 34-43 Leonis 14-45 23-75 42LeonisMin. 13-80 23-10 26 Moon'sU.L. . 78.23.31-80 42-20 39.52.17-24 18-09 29-63 37-0 0. 49-37 54. 26-79 34. 42-31 + 8-17 77. 49. 38-49 78. 4.31-14 34-43 27 Moon's U.L. . 81.50.21-70 29'65 43.19. 6-92 S-07 29-32 41-0 0. 54-68 54. 47-66 37. 23-67 + 9-38 81.13.49-56 81.28.47-91 34-41 SOLeonisMin. 15-00 24-80 J7 Leonis Min. 15-55 25-35 42 Leonis M in. 14-10 23-90 28 j3 Cancri .... 14-45 24-25 X Leonis .... 15-65 25-45 o Leonis .... 13-45 23-25 i) Leonis 15-30 25- 10 Moon'sU.L. . 85. 43. 29-20 39-45 47. 12. 14-49 14-94 29-62 33-0 1. 4-32 55.15-13 40. 20-88 + 10-24 85. 4. 9-85 85. 19. 15-71 34-41 30 Moon'sU.L. . 94.11.12-50 55. 39. 57-72 30-05 33-0 1.28-35 56. 21-81 46.21-39 + 10-88 93. 26. 15-73 93.41.39-80 34-39 31 ? Leonis 16-25 31 Leonis Min. 14-20 37 Leonis Min. 14-50 42LeonisMin. 14-15 Moon's L.L. . 98.54. 5-40 60. 22. 50-62 30-23 34-0 1.46-45 56. 56-35 49. 19-34 + 10-54 98. 6. 50-20 97.51.16-70 34-37 Apr. 2 Moon's L.L. . 106. 1. 43-50 67. 30. 29-47 29-98 35-0 2. 24-19 57. 58-66 53. 24-21 + 7-92 105. 10. 59-30 104.55. 8-79 34-34 3 Leonis .... 14-40 42 Leonis Min. 14-50 o Leonis Min. 14-05 54 Leonis . . . 13-15 23 Moon'sU.L. . 80.21.29-80 36-80 41. 50. 14-52 14-02 29-70 48-0 0. 51-84 54. 33-21 36. 11-42 + 8-82 79. 46. 7-80 80. 1. 2-20 33-96 24 Moon'sU.L. . 84. 2.20-25 29-20 45.31. 4-97 6-42 29-73 51-0 0. 58-70 54. 58-03 39. 1-29 + 9-79 83. 24. 15-25 83. 39. 16-44 33-93 93 Leonis . . . 14-45 21-95 Leonis .... 14-85 22 -35 IGCoinasBer. 15-05 22-55 26 f Leonis .... 16-75 24-25 v Virginis. . . . 15-00 22-50 93 Leonis . . . 14-20 21-70 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. (416) EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.! Refrac- tion. Tabular Horizontal Equatnreal Parallax. Parallax. Increase of Moon's N.P.I). during the Passage of Semi- diameter. Geocentric N.P.D.ofU. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular 01)11- quity of Ecliptic. Troughton. Jones. T. J. T. J. 2/!.27'. 1828. O / /' a a // O / '/ // in. / // / // // ii / U Apr. 26 /3 Lecmis .... 15-10 22-60 Moon's U.L. . 92. 19. 8-00 13-70 53. 47. 53-09 51-29 30-06 48-0 1. 19-96 56. 10-74 45. 8-63 + 10-86 91.35.14-59 91. 50. 35-63 33-88 o Virginia . . . 15-35 22-85 27 42LeonisMin. 14-60 22-20 54 Leonis. . . . 15-40 23-00 16-30 23-90 o Virginia . . . 14-75 22-35 Moon's U.L. . 96. 35. 18-00 21-95 58. 3.62-74 59-09 30-17 47-0 1. 34-37 56. 53-79 48. 6-12 + 10-83 95.48.40-27 96. 4. 13-07 33-86 28 14-80 23-00 v Virginia . . . 15-60 23-80 o Virginia . . . 14-75 22-95 J Virginia . . . 15-85 24-05 Moon's U.L. . 100. 39. 29-00 38-70 62. 8.13-75 15-25 30-17 52-0 1. 49-97 57.37-12 50. 45-60 + 10-26 99. 50. 30-54 100. 6. 15-18 33-83 29 Leonis .... 14-25 22-05 /3 Leonis .... 16-50 24-30 o Virginia . . . 15-60 23-40 J Virginia . . . 15-80 23-60 Moon'a U.L. . 104. 15.48-30 53-25 65. 44. 32-76 29-91 30-12 55-0 2. 7-82 58. 17-19 52. 58-02 + 8-96 103. 25. 12-03 103.41. 7-60 33-81 30 v Virginia. . . . 14-90 o Virginia . . . 15-05 ij Virginia . . . 16-05 y 1 Virginia . . 14-85 Moon's U.L. . 107. 6.24-30 68.35. 9-09 30-25 45-0 2. 30-29 58. 50-75 54. 36-94 + 6-75 106.14.31-12 106. 30. 35-87 33-78 May 5 23ComaeBer. 2g-75 & Virginia . . . 28-05 36 Comae Ber. 27-30 e Virginia . . . 25-55 Moon's U.L. . 103. 38. 15-50 65. 6.48-09 29-58 41-0 2. 5-55 59. 17-39 53. 36-41 10-00 102.46.29-16 103. 2.41-19 33-60 24 Moon's U.L. . 94. 33. 60-40 55-50 56. 2. 31-95 33-05 29-34 37-0 1. 23-24 56. 20-06 46. 32-38 + 10-75 93. 48. 34-54 94. 3.58-13 33-24 25 Moon's U.L. . 98. 43. 51-30 47-55 60, 12. 22-85 25-10 29-76 54-0 1. 39-83 57. 10-35 49. 26-03 + 10-55 97. 56. 49-16 98. 11.20-48 33-22 ? Virginia . . . 29-10 23-10 Arcturua. . . . 27-55 21-55 27 a Bootia 28-70 22-70 % Bootis 28-45 22-45 29 Moon'a U.L. . 109.27.26-75 70. 55. 58-24 29-68 55-0 2. 43-55 60. 4-95 56. 37-22 + 1-61 108.33.28-11 108.49.53-12 33-14 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (417) Year, . Month, j Maine of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- 1 a o Refrac- Tabular lorizontal Douatoreal Parallax. Increase of Moon'a N.P.D. during the Geocentric N.P.D. of U.L. or L. L., and of 'abular Obli- [uity of cliptic. and Day. Troughton. Jones. T. J. T. J. meter. B H tion. Parallax. tast&ge of Semi- diameter. Center, atTransit of 1 L. or 2 L. 3.27'. 1828. O / II n in. // / // t n // / U // 'May 31 Arcturus. . . . 28-40 IT Bootis 28-50 34 Bootis. . . . 28-65 Bootis .... 28-55 Moon's U.L. . 107. 43. 14-40 69. 11. 45-87 29-81 51-0 2. 30-92 60. 20-47 56. 14-17 - 6-55 106. 49. 18-00 107. 5.47-25 33-10 June 4 34 Bootis . . . 28-85 35 Bootis . . . 27-55 t Bootis 29-55 Bootis 29-35 5 Moon's U.L. . 87.39. 18-15 49. 7.49-32 29-52 54-0 1. 5-65 57. 64-29 43. 35-13 11-84 86. 56. 29-93 87. 12. 19-25 33-02 21 Moon's U.L. . 96. 43. 45-95 40-60 58. 12. 17-54 18-09 29-78 62-0 1. 30-83 56. 16-57 47. 38-91 + 10-40 95. 57. 21-27 96.12.43-90 32-87 /3 Serpentis . . 30-30 24-40 ic Serpentis . . 27-65 21-75 y Herculis. . . 28-95 23-05 ,8 Herculis. . . 26-75 20-85 22 Moon's U.L. . 100. 41. 29-40 19-40 62. 9.60-15 56-25 29-85 59-0 1.47-4] 57. 9-67 50. 22-22 + 9-96 99. 52. 35-36 100. 8.12-50 32-88 Arcturus. . . . 28-20 22-10 6 Cor. Bor... 29-80 23-70 Cor. Bor.. . 29-40 23-30 a Serpentis . . 29-60 23-50 24 Moon's U.L. . 107. 6.48-00 39-40 68. 35. 19-34 17-24 30-21 62-0 2. 24-98 59. 4-53 54. 49-00 + 6-89 106.14. 9-3 106. 30. 17-82 32-87 X Serpentis . 27-50 21-00 Serpentis . 30-20 23-70 & Lyrae 29-20 22-70 ? Aquilae . . . 27-75 21-25 25 <* Serpentis. 30-52 23-58 /3 Serpentis. 30-07 23-13 e Cor. Bor.. 30-17 23-23 & Herculis. . 30-12 23-18 Moon's U.L. 108. 58. 40-50 32-65 70. 27. 10-28 9-37 30-23 64-0 2. 39-31 59. 55-92 56. 18-67 + 3-76 108. 4.48-64 108.21.11-19 32-86 26 Arcturus . . . 29-62 22-68 J Serpentis . 30-32 23-38 /3 Serpentis . 30-42 23-48 y Serpentis . 29-22 22-28 Moon's U.L. 109. 33. 43-00 33-60 71. 2.13-11 10-64 30-20 63-0 2. 44-68 60. 35-70 57. 8-37 0-33 108. 39. 10-45 108. 55. 43-86 32-87 27 Arcturus. .. 29-05 20-85 J Serpentis . 29-65 21-45 K Serpentis . 30-70 22-50 Y Serpentis. 29-40 21-20 Moon's U.L. 108. 42. 33-95 22-70 70.11. 4-25 1-20 30-02 59-0 2. 37-52 60. 58-73 57. 11-88 - 4-72 107.47.45-5 108. 4.25-2 32-86 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. GREENWICH LUNAR REDUCTIONS. 3(H) (418) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.l Refrac- Tabular Horizontal Equatoreal Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N. P. D. of U. L. Tabular Obli- quitv of Ecliptic. or L. L., and of and Day. Troughton. Jones. T. J. T. J. | tion. Parallax. Scini- diameter. Center, atl ran sit of 1 L. or 2 L. 23 27' 1828. Q t II n tf / II ft in. / it ' it ' ' " O 1 II " June 28 K Serpentis . 29-90 Cor. Bor. 30-45 y Serpentis . 30-75 Moon's U.L. . 106. 27. 27-65 67. 55. 57-46 29-85 58-0 2. 19-76 61. 2-43 56. 23 55 8-61 105.33. 6-99 105. 49. 47-70 32-86 2S Arcturus . . . . 30-45 J Serpentis . . 31-60 K Serpentis . . 30-00 y Serpentis . . 31-40 Moon's U.L. . 103. 2. 18-65 64. 30. 47-79 29-87 57-0 1.59-41 60. 47-14 54.41-20 11-26 102. 9. 16-67 102.25.53-21 32-85 July 19 Moon's U.L. . 98.54.42-10 36-25 60. 23. 13-02 14-37 29-49 68-0 1. 36-88 56. 8-11 48. 3T46 + 9-85 98. 7. 25-20 98. 22. 45-52 3-2-97 a. Cor. Bor. . - 29-16 21-95 Serpentis . . 28-75 21-55 a Herculis. . . 29-15 21-95 a Ophiuchi . . 29-25 22-05 22 Cor. Bor. . 29-30 21-60 a Serpentis . . 29-70 22-00 Moon's U.L. . 108. 2.33-95 25-00 69.31. 4-36 3-11 29-54 61-0 2. 29-01 58. 54-58 55. 1-14 + 5-33 107. 9.48-21 107.25.54-01 33-02 Capella .... 29-60 21-90 jS Tauri 29-75 22-05 25 a Serpentis . . 27-85 a Herculis. . . 27-85 a Ophiuchi . . 30-00 P Ophiuchi . . 29-00 Moon's U.L. . 107. 47. 20-60 69. 15.51-92 29-53 58-0 2. 27-90 61. 10-04 57. 1-91 6-55 106. 52. 46-39 107. 9.29-17 33-05 29 i Ophiuchi. . . 28-60 X Ophiuchi . . 28-80 a Herculis. . . 30-50 a- Ophiuchi . . 29-35 Moon's U.L. . 91.35.48-90 53. 4. 19-59 29-77 45-0 1. 17-61 60. 0-19 47.45-77 13-30 90.49. 0-06 91. 5.23-78 33-11 30 Moon's U.L. . 86. 47. 14-50 48. 15. 45-07 29-89 47-0 1. 5-41 59. 6-08 43. 53-66 12-43 86. 4. 6-3-2 86. 20. 15-26 33-1-2 31 a Ophiuchi . . 29-05 Aug. 2 Moon's U.L. . 75. 24. 17-40 36. 52. 48-22 29-52 58-0 0. 42-32 56. 21-36 33. 36-82 7-14 74. 51. 8-51 75. 6.3-2-45 33-17 3 K Lyrae 29-30 j3 Lyras 28-45 Capella 29-90 18 Moon's U.L.. 106. 59. 60-60 52-00 68.28.31-47 29-27 29-89 64-0 2. 22-03 57.40-19 53. 28-95 + 6-12 106. 8. 39-26 106. 24. 24-74 33-40 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P, D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (419) Year, Month, and Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. ^rmometerJ Refrac- tion. Tabular Horizontal Equatoreal Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N. P. D. of U. L. or L. L., and of Center, atTransit Tabular Obli- quity of Ecliptic. Day. Troughton. Jones. T. J. T. J. t Parallax. fteini- diameter. of 1 L. or 2 L. 23.27'. 1828. o / n // // it O 1 If tt in. o ' u / H / // // I II it Aug. 18 a Ophiuchi . . 28-25 21-85 Herculis . . 27-90 21-50 a Aquilae. . . . 29-60 23-20 8 Aquilaj. . . . 30-75 24-35 19 Moon's ILL.. 108.41.53-95 47-60 70. 10. 24-37 23-42 30-05 63-0 2. 36-32 58. 33-58 64. 55-49 + 3-41 107.49.23-25 108. 5.23-31 33-41 J Sagittas 29-30 23-90 a Aquilae. . . . 29-45 24-05 ft Delphini . . 30-30 24-90 9 Dclphini. . . 29-25 23-85 20 Moon's U.L.. 109. 15. 63-60 58-25 70. 44. 34-41 36-46 29-90 60-0 2.41-39 59. 26-49 55. 57-06 0-14 108.22.41-34 108. 38. 55-85 33-43 29-05 22-65 $ Sagittae. . . . 29-50 23-10 a. Aquilse. . . . 29-46 23-05 Y Sagittae. . . . 28-75 22-35 21 Moon's L.L. . 109. 5.44-50 70. 34. 15-50 29-68 55-0 2. 40-33 60. 14-22 56. 38-60 4-15 108.11.43-31 107. 55. 15-76 33-45 ( Delphini.. . 29-40 B Delpbini. . . 28-40 8 Delphini. . . 28-40 a Delphini. . . 29-80 22 a Sagittae . . . 28-35 21-55 a. Aquilae. . . . 30-95 24-15 Moon's L.L. . 107. 2.44-30 35-40 68. 31. 14-70 12-60 29-78 54-0 2. 24-76 60. 50-63 56. 26-86 - 8-03 106. 8.41-51 105.52. 4-02 33-45 e Delphini. . . 29-20 22-40 6 Delphini. . . 29-90 23-10 23 Ophiuchi . . 28-75 24-45 a Aquilae. . . . 29-70 25-40 e Delphini. . . 30-75 26-45 6 Delphini. . . 27-90 23-60 Moon's L.L. . 103. 46. 32-70 28-30 65.15. 3-42 3-32 30-05 53-02. 5-20 61. 10-63 55. 22-72 11-11 102. 53. 18-89 102. 36. 35-94 33-47 24 Ophiuchi. . 30-45 26-15 a Aquilae. . . . 28-35 24-05 Moon's ILL. . 98. 59. 56-30 52-50 60. 28. 27-44 27-84 30-14 62-0 1. 40-56 61. 10-79 53. 2-44 -12-99 98. 8.40-68 98. 25. 23-67 33-48 25 a Sagittae . . . 28-25 24-15 a Aquilas. . . . 28-40 24-30 26 a Ophiuchi . . 30-70 a Aquilae. . . . 30-80 Moon's ILL.. 89. 15. 25-70 50. 43. 55-47 30-18 62-0 1.11-32 60. 12-80 46. 24-56 13-31 88. 29. 50-85 88.46.18-01 33-51 27 /3 Aquilae . . . 29-35 Pollux 30-05 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co- Latitude 38.31'. 21" '93. - 3 (H)2 (420) KEDTJCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38.31'. Apparent Zenith Distance. Baro- meter Thermometer.! Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. ofU.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli. quityof Ecliptic. Troughton. Jones. T. J. T. J. 23.27' 1828. o / a // n O / U // in. o / // ' // // n O / // II Sep. 1 Moon's ILL. 71.41.32-85 33. 10. 3-59 29-91 55-0 0. 37-59 55. 2-70 29. 54-62 0-69 71.12. 7-80 71. 27. 10-25 33-57 ' Pollux 28-45 ( a Herculis. . 30-50 5 Aquilae . . . 29-80 a. Aquilae 28-30 16 Moon's ILL. . 109. 2.19-40 17-10 70. 30. 51-95 52-85 30-42 53-0 2. 44-48 58. 17-90 54. 47-86 + 1-17 108. 10. 9-78 108. 26. 5-56 33-64 y Aquilae. . . . 27-55 24-35 x Aquilae. . . . 27-30 24-10 /3 Aquilae .... 26-75 23-55 Procyon .... 28-20 25-00 18 Moon's L.L. . 107.55.61-80 57-70 69. 24. 33-19 32-59 29-92 52-0 2. 32-85 59. 38-90 55. 40-39 6-05 107. 2.53-33 106. 46. 35-42 33-64 y Aquilae .... - 28-20 24-70 Aquilae. . . . 29-15 25-65 (3 Aquilae. . . . 29-80 26-30 ? Pegasi .... 27-30 23-80 19 y Aquilae. . . . 26-85 22-05 a Aquilae. . . . 27-40 22-60 Aquilas 28-10 23-30 Moon's L.L. . 105. 18. 14-60 11-50 66.46.47-09 48-79 30-06 52-0 2. 14-74 60. 11-02 55. 8-15 9-29 104. 25. 25-75 104. 8.59-07 33-64 1 31 Pegasi . . . 27-70 22-90 20 Y Aquilae. . . . 29-45 23-85 a. Aquilae. . . . 29-40 23-80 /3 Aquilae .... 31-10 25-50 Moon's L.L. . 101. 38. 38-75 33-60 63. 7. 9-16 9-61 30-08 51-0 1. 54-55 60. 31-59 53. 48'25 11-67 100.46.49-29 100.30.17-00 33-64 I Pegasi 28-40 22-80 21 Aquilas .... 27-30 21-90 y Aquilae .... 28-90 23-50 ^ Eqnulei. . . . 28-15 22-75 a Equulei . . . 29-75 24-35 Moon's L.L. . 97. 13. 32-70 26-10 58.42. 4-17 2-97 29-92 50-0 1. 35-33 60. 37-32 51.36-45 13-05 96. 23. 37-43 96. 7. 3-58 33-63 22 J Equulei . . . 29-60 24-20 a Equulei . . . 31-65 26-25 e Peerasi. 29-60 24-20 9 Pegasi .... 30-30 24-90 Moon's L.L. . 92. 23. 30-50 27-60 53.52. 0-21 2-71 29-92 55-0 1. 18-66 60. 25-92 48. 36-41 13-44 91. 36. 19-08 91. 19. 48-33 33-63 23 Moon's ILL. . 86. 57. 45-20 48. 26. 14-96 30-01 54-0 1. 5-14 59.58-12 44. 39-63 12-92 86. 13. 49-48 86. 30. 12-63 33-62 24 e Pegasi. . 2Q-Kf, Moon's ILL. . 82. 23. 53-25 ' \i' i 43. 52. 22-97 29-92 57-0 0. 55-05 59. 16-42 40. 52-03 11-61 81.43.36-31 81.59.48-07 33-62 ; ; Ihe Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. V SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (421) Year, Month, nml Day. Name of Object. Circle Reading. Troughton. Jones Zenith Point 38. 31'. T. J. Apparent Zenith Distance. T. Baro- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Mooii'n N.P.D. during tbe Passage of SemU diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, atTransit oflL. or2L. Tabular Obli- quity of Ecliptic. 1828. Sep. 24 25 o / Castor .... Procyon Pollux. . . . 27 e Delphini. . . $ Equulei. . . . < Pegasi 31 Pegasi . . . Moou's U. L. y Lyrae y Aquilae . . . . 3 Aquilae. . . . e Pegasi Moon's U. L. 78. 26. 32-80 31-00 30-05 30-40 29-50 29-50 29-40 29-65 30-95 30-50 30-05 29-35 39.55. 3-29 29-7057-00.47-57 58.25-5237.16-63 9-66 77. 49. 46-50 78. 5.44-36 33-62 73. 8.47-45 34. 37. 17-24 29-7348-00. 40-03 56.36-9431.57-39 - 4-56 72. 37. 17-25 72. 52. 45-45 33-61 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Liinb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" "93. (422) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Name of Object. Circle Reading. Approx- imate Zenith Baro- meter. Ther- mo- tHeter. Refrac- tion. ieconds of I ir'sTabularl N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Increase of Moon's N.P.D. during the Passage of Seini- Geocentric N.P.I), of U. L. or L. L., and of Center, at Transit Tabular Obliquity of Ecliptic. Hay. W2 diameter. of 1 L. or 2 L. 23. 27'. 1828. O 1 II Q f ft in. / // 11 / a i n / // ff O / II II Oct. 1 (T &J) a Pegasi. . 75.42. 0-83 37.10.31 29-61 49-0 0. 43-70 38-70 0. 5-83 (T&J) Procyon. 84. 19. 44-05 45. 48. 14 29-68 46-0 0.59-73 38-38 0. 5-40 (T & J) Pollux . . 61.33.56-33 23. 2.26 29-68 46-0 0. 24-73 15-17 0. 5-89 (T&J)Moon'sL.L. 74. 42. 37-90 36.11. 8 29-68 46-0 0. 42-51 . . 54. 18-31 31.51-78 + 5-25 74.11.28-17 73. 56. 37-84 33-56 18 (T&J) Aquarii. 91. 7.30-50 52.36. 1 30-18 46-0 1.17-19 41-64 0. 6-05 (T&J)Moon'sL.L. 99. 5.22-55 60. 33. 53 30-18 46-0 1. 44-41 59. 43-05 51.49-41 11-97 98. 15. 23-68 97.59. 4-64 33-32 (T &J) Pegasi. . 75.41.58-13 37. 10. 28 30-18 44-0 0. 45-00 37-50 0. 5-63 19 (T&J) aAquilae . 81.33.31-78 43. 2. 2 30-03 46-0 0. 54-88 21-92 0. 4-74 (T&J)/3Aquihe. 83. 59. 41-93 45.28. 12 30-03 40-0 0. 59-74 37-11 0. 4-56 (T&J) Aquarii. 91. 7.28-63 52. 35. 59 30-03 44-0 1. 17-12 41-66 0. 4-09 (T&J)Moon'sL.L. 94. 32. 44-68 56. 1. 15 30-03 38-0 1. 28-54 . . . . 59. 45-55 49.21-63 12-82 93. 44. 59-95 93. 28. 40-24 33-30 20 (T&J) Arcturus. 69. 54. 40-48 31. 23. 10 30-02 49-0 0. 35-65 11-65 0. 4-48 (T&J) Aquarii. 91. 7.30-35 52.36. 30-03 47-0 1. 16-65 41-09 0. 5-31 (T &J) Pegasi. . 75.41.59-63 37. 10. 30 30-04 46-0 0. 44-61 37-42 0. 6-82 (T&J)Moon'sL.L. 89.46.42-13 61. 15. 12 30-04 47-0 1. 13-07 . . . . 59. 36-73 46. 17-43 -12-82 89. 1.45-05 88. 45. 27-74 33-28 21 (T&J) <* Aquarii. 91. 7.31-93 52.36. 2 29-96 51-0 1. 15-84 41-72 0. 6-05 (T&J) y Pegasi. . 75. 45. 19-10 37. 13. 49 29-95 51-0 0.44-11 56-98 0. 6-23 (T&J)Moon'sL.L. 85. 6.32-30 46.35. 2 29-94 51-0 1. 1-29 . . 59. 16-13 42. 50-63 12-09 84. 24. 48-78 84. S. 37-10 33-26 (T&J) Regulus.. 77.11.21-83 38. 39. 52 29-82 54-0 0. 45-96 1-25 0. 6-54 22 (T) a Lyne . . . 51. 21.46-30 12.50. 16 29-75 59-0 0. 12-94 51-24 0. 8-00 (T) a Cygni . 45. 19. 17-00 6. 47.47 29-72 56-0 0. 6-79 15-17 0. 8'62 (T) Moon'sL.L.( a ) 80.61. 0-50 42. 19.31 29-65 58-0 0.51-58 58. 44-24 39. 20-37 -10-52 80. 12. 23-40 79. 56. 20-43 33-24 23 (T) a Pegasi 75. 42. 3-70 37. 10. 34 29-86 47-0 0. 44-25 37-30 0. 10-65 (T) a Andromedae 61.50.48-70 23. 19. 19 29-88 46-0 0. 25-24 5-58 0. 8-36 (T) Moon's U.L.. 76. 44. 26-45 38. 12. 56 29-93 43-0 0. 46-43 . . 58. 3-91 35. 42-44 8-59 76. 9. 12-29 76.25. 4-23 33-21 (T) Regulus 77. 11. 23-40 38. 39. 53 30-02 38-0 0. 47-82 1-56 0. 9-66 24 (T) a Pegasi 75. 42. 4-00 37. 10. 34 30-06 44-0 0. 44-82 37-07 0. 11-75 (T) y Pegasi 75.45. 21-60 37. 13. 52 30-06 44-0 0.44-91 56-81 o. 9-70 (T) Moon's U. L. . 74. 3.39-30 35.32. 9 30-05 46-0 0. 42-03 57. 18-51 33. 5-80 6-02 73. 30. 58-88 73. 46. 38-44 33-20 (T) Regulus 77. 11. 24-70 38. 39. 55 30-09 43-0 0. 47-43 1-70 0. 10-43 25 (T) a Aquilae .... 81. 33.36-00 43. 2. 6 30-16 46-0 0. 55-12 22-10 0. 9-02 (T) a Pegasi 75. 42. 4-20 37. 10. 34 30-21 42-0 0. 45-23 37-22 0. 12-21 (T) a Andromedas 61. 50. 50-00 23.19.20 30-21 42 '0 0. 25-73 5-33 0. 10-40 (T) Moon's U. L. . 72. 23. 34-90 33.52. 6 30-21 39-0 0. 40-29 . . . . 56.31-89 31. 17-68 - 3-17 71.52.43-80 72. 8.10-62 33-17 28 (T) a Pegasi. . . . 75. 42. 2-50 37. 10. 33 30-36 41-0 0. 45-55 37-15 0. 10-90 (T) y Pegasi 75. 45. 20-10 37. 13. 50 30-37 40-0 0.45-75 56-68 0. 9-17 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb winch was observed with the Transit. (*) The correction for increase of N.P.D. during the passage of Semidiameter is not applied to form the numbers in the column "Geocentric N.P.D. of Limb and Center," which, therefore, in this instance, represent the N.P.D. of Limb and Center at Transit of Center. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (423) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabularl N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1828. / r o / n ID. o / // ft / / / it / // I o / a I Oct. 28 (T) Moon's L. L. . 73.56. 0-55 35. 24. 31 30-34 35-0 0.43-21 . , . . 54. 40-82 31.28-90 + 4-54 73.25. 9-68 73.10.13-20 33-10 (T) Regulus . . 77. 11. 22*80 38. 39. 53 30-35 35-0 0. 48-65 2-35 0. 9-10 29 (T) Moon's L. L. . 75. 59. 32-95 37.28. 3 30-17 40-0 0. 45-84 54.21-55 32. 52- 15 + 6*31 75. 27. 23-38 75. 12. 32-17 33-08 (T) Regulus 77. 11. 24'40 38. 39. 54 30-17 39-0 0.47-95 2'51 0. 9-84 30 (T) q-70 .1O-O 0. 43"86 56" 49 0. 3-77 (T) a Arietis 67. 20. 29-30 28.49. 9 ~*j / - 29-72 \j\j \t 48-0 0.31-90 58-93 0. 2-27 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (424) KEIHJCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter Ther mo- meter Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error Tabular Horizonta Equate rea Parallax. Parallax. I nc r ease o: Moon's N.P.D. during the Passage o Semi- diameter. Geocentric N. P. D. of U. L or L. L., and of Center, at Trans of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23.27'. 1828. O ' II o r t In. o / // // > / // / // // O 1 U a Nov. 23 (T) Moon's L. L. 72. 15. 50-50 33. 44. 31 29-66 49-0 0. 38-56 55. 33-6C 30. 39-39 + 1-11 71. 45. 47-70 71. 30. 36-80 32-51 (T) Spica . 100. 14. 4-40 61. 42. 44 29-60 44-0 1. 47-77 48-96 0. 3-21 24 (T) a. Arietis. . . . 67. 20. 29-30 28.49. 9 29-72 45-0 0. 32-09 58-89 -0. 2-50 (T) Ceti 86.34. 12-20 48. 2.52 29-72 45-0 1. 4-82 14-68 0. 2-34 (T) Moon's L. L. 73. 8.35-30 34.37. 15 29-74 45-0 0. 40-29 55. 1-82 31. 3-76 + 3-61 72.38.13-21 72. 23. 10-99 32-50 (T) Arcturus 69. 54. 46-80 31. 23. 27 29-82 50-0 0. 35-35 20-29 0. 1-86 25 (T) a Ceti 86. 34. 12-05 48. 2. 52 29-82 47-0 1. 4-77 14-76 0. 2-06 26 (T) Moon's L. L. . 77. 20. 32-20 38. 49. 12 29-71 49-0 0.46-51 54. 19-38 33.51-38 + 7-20 76. 47. 31-85 76.32.41-23 32-45 (T) Spica . 100. 14. 4-15 61. 42. 44 29-87 46-0 1. 48-31 49-37 0. 3-09 (T) Arcturus 69.54.48-10 31. 23. 28 29-92 48-0 0. 35-61 20-83 0. 2-88 Dec. 1 (T) a Aquarii 91. 7.26-25 52.36. 6 30-02 38-0 1.18-07 43-83 0. 0-49 (T) a Andromedae 61.50.38-80 23. 19.19 30-10 36-0 0. 25-95 3-16 0. 1-59 (T)y Pegasi 75. 45. 14-50 37.13.55 30-10 36-0 0. 45-73 56-72 0. 3-51 (T) Moon's L. L. . 95.38. 48-10 57. 7.28 30-30 31-0 1. 34-52 55. 30-56 46. 26-4!) + 10-04 94.54. 4-31 94. 38. 54-24 32-37 11 (T&J)aAquila3. . 81.33.26-90 43. 2. 7 30-00 51-0 0. 54-27 26-52 +0. 5-35 T&J) Moon's L.L. 101. 57. 29-25 63.26. 9 30-08 48-0 1. 56-84 . . . . 59. 43-48 53. 14-45 -11-09 101. 6.26-92 100.50. 7-77 32-24 (T&J) a Aquarii. 91. 7.24-88 52.36. 5 30-10 48-0 1. 16-67 44-56 + 0. 3-01 (T&J) a Pegasi. . 75.41.49-43 37. 10. 29 30-15 46-0 0. 44-77 38-41 + 0. 4-21 21 (T) Moon's L. L. . 72.34. 11-10 34. 2.51 30-02 51-0 0. 39-32 , . f t 55. 7-52 30. 39-64 + 2-50 72. 4.11-09 71.49. 7-32 32-17 22 (T) a. Aquilae 81.33.36-40 43. 2.16 29-95 54-0 0. 53-85 28-13 0. 2-12 (T) Pegasi .... 75.41.57-70 37. 10. 38 29-94 52-0 0. 43-92 39-36 0. 2-26 23 (T) Moon's L. L. . 76. 5.27-00 37.34. 7 29-50 45-0 0. 44-52 f .. 54. 24-07 32. 58"23 + 6-57 75. 33. 17-52 75. 18. 25-62 32-17 24 (T) a. Lyrse 51. 21. 53-80 2 SO 14 2Q-A9 48-n O 13-V* 4-28 0. 2'65 25 (T) Moon's L.L. . . 82. 11.20-80 . 't\t. . >-j 43.40. 1 ' * 29-47 ^O V 33-0 \J . J A . 0. 56-57 54. 5-77 37. 9-56 + 8-74 81.35. 13-81 81.20.26-90 32-16 (T) Arcturus .... 69. 54. 54-85 31. 23. 35 29-46 34-0 0.36-10 28-45 0. 2-50 26 T) a. Aquilae .... 81. 33.37-10 43. 2. 17 29-43 42-0 0. 54-23 28-74 0. 2-59 T) a. Aquarii. . . . 91. 7. 32-60 2. 36. 13 29-45 40-0 1. 16-28 45-74 0. 3-14 T) v Peerasi. . 75. 45. 15-50 7. 13. 56 29-45 ST-O 0. 44'65 58-15 0. 2-00 T) a. Ceti 86. 34. 13-85 8. 2. 54 29-45 35'0 1. 5-58 17-29 0. 2'14 T) Aldebaran . . . 73. 49. 58-60 5. 18. 39 29-46 35-0 0.41-81 38-40 0. 2-01 (T) Moon's L.L... 85. 50. 19-00 47. 18. 59 29-51 36-0 1. 3-93 * 54. 9-92 39. 37-72 + 9-33 85. 11.52-49 84.57. 4-45 32-16 27 T) Moon's L.L. . . 89. 42. 32-25 51. 11.12 29-72 38-0 1. 13-47 54.24-17 42. 12-34 + 9-69 89. 1.41-02 88. 46. 49-09 32-16 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (425) Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular! N.P.D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Menu's N.P.D. during the Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1828. o / o / // in. o / * rt / // / // / // O / it a Dec. 28 (T) Moon's L.L. . . 93. 40. 28-00 55. 9. 8 30-13 37-0 1.26-18 . . , 54. 49-37 44. 48-72 + 9-80 92. 57. 13-21 92. 42. 14-39 32-17 30 (T) Arietis (T) Moon's L.L... 67. 20. 27-90 101. 19. 25-65 28.49. 8 62.48. 6 30-15 29-96 39-0 41-0 0. 32-97 1.54-91 58-78 0. 2-09 56. 10-44 49. 47-59 + 9-22 100.31.40-31 31 (T) a Ceti 86. 34. 13-80 73. 49. 59-20 104.39. 0-80 48. 2.54 35. 18. 39 66. 7.41 29-86 29-86 29-75 45-0 43-0 38-0 1. 5-12 0.41-67 2.13-14 17-69 38-54 0. 1-23 -0. 2-33 57. 3-26 52. 0-51 +' 8-23 100. 16. 19-35 103.49. 19-78 32-17 (T) Aldebaran . . . (T) Moon's L.L. .. 1829. 103. 33. 44-39 32-18 Jan. 17 (T&J)Rigel .... (T&J)/3Tauri. .. ('!'& J) a, Orionis. (T&J)Moon'sL.L. 98. 22. 49-00 61.32.21-33 82.37. 6-23 72. 20. 38-33 59.51.29 23. 1. 1 44. 5.46 33. 49. 18 29-75 29-75 29-76 29-76 27-0 27-0 26-0 26-0 1.44-12 0. 25-76 0. 58-86 0. 40-72 36-27 52-52 9-56 + 0. 3-15 + 0. 5-43 + 0. 4-47 55. 1-79 30. 25-68 + 1-45 71. 50. 56-27 71. 35. 54-06 32-33 18 (T & J) Aldebaran (T&J) Moon's L.L. 73. 49. 52-45 73. 19. 47-70 35. 18. 32 34. 48. 28 29-92 29-94 27-0 25-0 0.43-18 0. 42-60 39-10 + 0. 3-47 54. 39-75 31. 0-14 + 3-83 72. 49. 30-44 19 (T&J)aLyra3... (T) a. Arietis 51. 21. 54-73 67. 20. 28-20 73. 49. 56-70 44.11. 7-90 75. 9.20-30 12. 50. 35 28. 49. 8 35.18.37 5. 39. 48 36.38. 30-03 30-00 30-00 30-00 29-97 24-0 29-0 27-0 26-0 25-0 0. 14-05 0. 33-50 0. 43-30 0. 6-07 0. 45-60 13-16 59-69 39-14 12-36 + 0. 4-38 0. 2-01 0. 0-86 0. 1-61 54.21-97 32. 14-49 + 5-80 72. 34. 34-25 74. 37. 49-92 32-35 (T) Aldebarau . . . (T) Capella' (T) Moon's L.L.(") Feb. 16 (J) Procyon 84.19.43-60 61.33.45-00 76. 18. 24-15 45. 48. 24 23. 2.25 37.47. 4 29-73 29-73 29-71 40-0 40-0 39-0 1. 0-59 0. 25-08 0. 45-76 53-99 18-24 -fO. 9-80 + 0. 8-16 54. 6-93 32. 57-44 + 6-70 74. 22. 58-59 75. 46. 14-75 32-36 (.T) Pollux (J) Moon's U. L. . 76. 1. 1-97 32-82 20 (T) Aldebaran . . . (T) Capella 73. 49. 54-70 44. 10. 58-30 90.32. 9-50 35.18.35 5. 39. 38 52. 0.50 29-47 29-47 29-32 43-0 43-0 42-0 0.41-13 0. 5-75 1. 14-04 40-08 10-07 + 0. 4-25 + 0. 6-02 54. 8-27 42. 29-20 + 9-51 89.51. 8-99 (T) Moon's L. L. . 89.36.21-40 32-88 27 (T&J)Moon'sLL. 109.25. 7'95 70. 53. 48 30-26 30-0 2. 55-37 .. * 58. 24-58 55. 2-19 + 0-09 108.33. 7-46 (T&J) a Lyra. . . (T & J) a Aquilae . (T & J) Cygni . . 51.22. 0-93 81. 33. 34-80 45. 19. 28-13 12.50.41 43. 2.15 6.48. 8 1 30-26 30-26 30-26 30-0 32-0 33-0 0. 13-98 0. 56-94 0. 7-26 22-41 37-72 40-62 + 0. 7-50 + 0. 5-98 4-0. 5-23 108. 17. 9-86 32-97 Mar. 14 (T&J) Moon's U.L. 73. 34. 21-93 35. 3. 2 29-78 35-0 0.41-86 54. 37-36 31. 10-10 + 4-37 73. 3.54-94 (T&J) Pollux... (T&J) Hydra. (T&J)Regulus.. 61. 33. 45-75 97. 53. 52-83 77.11.21-93 23. 2.26 59. 22. 33 38.40. 2 29-78 29-78 29-78 35-0 34-0 32-0 0. 25-39 1. 40-73 0. 48-04 16-58 37-87 17-08 + 0. 5-44 + 0. 4-31 + 0. 7-11 73. 18. 50-47 33-06 15 (T & J) Procyon . (T&J) Pollux... 84. 19.45-70 61.33.45-18 45. 48. 26 !23. 2.25 29-77 29-77 31-0 31-0 1. 1-83 0. 25-59 54-77 16-53 + 0. 7-24 + 0. 5-76 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (') The correction for increase of N.P.D. during the passage of Semidiameter is not applied to form the numbers in the column " Geocentric N. P. D. of Limb and Center," which, therefore, in this instance, represent the N. P. D. of Limb and Center at Transit of Center. GRKENWICH LUNAR REDUCTIONS. 3(1) (426) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading-. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star'sTabularl N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1829. Q 1 It Oil! in. o < // H / // / a / // // Q f II a Mar. 15 (T&J) Moon's U.L. 75. 34. 35-43 37. 3. 15 29-76 31-0 0. 45-40 54. 15-62 32. 29-76 + 6-14 75. 2.51-79 75.17.41-39 33-06 (T&J) Regains.. 77.11.21-08 38.40. 1 29-75 28-0 0. 48-40 17-05 + 0. 7-57 16 (T & J) Procyon . 84.19.46-73 45. 48. 27 29-49 31-0 1. 1-25 54-78 + 0. 6-80 (T & J) Pollux. . . 61.33.46-00 23. 2.26 29-49 31-0 0.25-35 16-47 + 0. 5-12 (T&J) Moon's U.L. 78.13.51-60 39. 42. 32 29-48 30-0 0. 49-56 .. 54. 2-63 34. 19-84 + 7-48 77.40.20-19 77.55. 6-24 33-07 (T & J) Regulus. . 77.11.22-03 38.40. 2 29-47 29-0 0.47-85 17-01 + 0. 7-13 17 (T&J) Procyon. . 84. 19. 48-40 45. 48. 28 29-44 40-0 1. 0-00 54-79 + 0. 6-39 (T&J) Pollux... 61. 33. 46-45 23. 2.26 29-44 40-0 0. 24-83 16-41 +0. 5-13 (T&J)Moon'sU.L. 81.24. 8-30 42. 52. 48 29-50 36-0 0. 54-75 .. . . 53. 57-60 36. 31-40 + 8-45 80. 48. 28-89 81. 3. 13-57 33-06 (T&J) Regulus.. 77. 11.24-25 38.40. 4 29-50 360 0.47-19 16-98 + 0. 5-54 18 (T) Moon's U.L. . 84. 57. 17-10 46. 25. 57 29-59 46-0 1. 0-87 . . 53. 59-71 38. 55-88 -f 9-11 84. 19. 18-99 84.34. 4-25 33-06 (T) a Cvcni. . 45. 19.31-20 6.48.11 29-54 48-0 0. 6-87 44-18 + 0. 6-11 19 (T) Moon's U. L. . 88. 44. 52-10 50. 13. 32 29-44 52-0 1. 8-33 54. 7-90 41. 24-96 + 9-47 88. 4.30-99 88. 19. 18-48 33-07 fD a Lvrae . . 51. 22. 6-30 12. 50. 46 29-49 49-0 0. 13-10 24-12 + 0. 4-72 (T) y Aquilse 79. 46. 57-70 41.15.38 29-50 50-0 0. 50-25 52-37 + 0. 4-42 (T) a. Aquilse 81. 33. 39-30 43. 2. 19 29-50 50-0 0. 53-48 38-62 + 0. 5-84 h 21 (T) Sirius 106. 27. 14-80 67. 55. 55 29-96 45-0 2. 24-07 40-00 + 0. 1-13 (T) Procyon 84. 19. 50-20 45. 48. 30 29-96 42-0 1. 0-81 54-82 + 0. 3-81 (T) Regulus 77. 11.24-55 l38. 40. 5 29-96 40-0 0.47-53 16-83 + 0. 4-75 (T) Moon's L. L. . 96.58. 4-10 58. 26. 44 29-92 37-0 1. 36-97 54. 39-92 46. 24-57 + 9-32 96. 13. 29-05 . 95. 58. 32-81 33-06 24 (T) Ricel . 98. 22. 55-50 59. 51. 36 29-74 40-0 1.41-27 39-85 + 0. 3-08 (T) Sirius 106. 27. 11-40 67. 55. 51 29-74 36-0 2. 25-73 40-04 + 0. 2-91 (T)a Hydrte . .. 97.53. 52-60 59. 22. 33 29-75 30-0 1.41-49 38-55 + 0. 4-46 (T) Moon's L. L. . 106. 25. 50-60 67. 54. 31 29-76 25-0 2.29-14 56. 3-19 51. 46-84 + 6-20 105.36.42-58 105. 21. 23-60 33-04 27 (T & J) Rigel .... 98. 22. 53-33 59. 51. 33 29-74 43-0 1. 40-63 39-76 + 0. 5-80 (T&J) Sirius 106.27. 9-88 67. 55. 50 29-71 38-0 2. 24-97 40-07 + 0. 5-22 (T &J) Procyon. . 84. 19.47-68 45.48. 28; 29-71 36-0 1. 1-08 54-79 + 0. 6-03 (T&J)Moon'sU.L. 108. 35. 59-00 70. 4.39]29-55 29-0 2. 44-13 58. 7-41 54. 28-99 2-03 107. 44. 17-79 I 108. 0. 10-69 33-02 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (427) Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. 1 Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during tbe Passage of Semi- diameter. Geocentric N. P. D. of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1829. o / // " // // > a u in. o / n / a / // // o / // it Apr.10 K Cancri . . . . 16-30 8-00 a Leonis 16-20 7-90 12 Moon's U.L.. 77. 12. 49-78 40-37 38.41.32-70 32-29 29-05 48-0 0. 45-37 54. 19-86 33. 45-90 + 7-11 76. 39. 46-79 76. 54. 37-54 32-84 Hydras 15-55 7-85 15 e Leonis .... 15-70 8-00 a. Leouis .... 15-80 8-10 >j Leonis .... IG-25 8-55 Leonis 16-05 8-35 Moon's U.L. . 87. 22. 16-77 10-40 48.51. 0-82 2-15 29-22 47-0 1. 5-27 54. 9-82 40. 35-72 + 9-36 86. 42. 43-61 86.57.31-62 32-78 16 15-05 7-25 ir Leonis .... 15-55 7-75 ' Virginis. . . 12-80 5-00 o Virginis . . . 15-70 7-90 Moon's U.L. . 91. 14. 65-82 59-32 52. 43. 51-04 52-34 29-28 41-0 1. 16-02 54.23-10 43. 5-68 + 9-59 90. 33. 14-37 90.48. 6-01 32-76 17 r Leonis .... 16-10 g 1 Virginis . . 15-55 it Virginis 14-65 o Virginis . . . 15-90 Moon's U.L. . 95. 8.38-67 56.37.23-12 29-68 45-0 1.28-21 54. 42-57 45. 30-37 + 9-53 94. 24. 33-36 94. 39. 30-32 32-75 18 6 Leonis .... 16-95 Moon's U.L. . 98.53. 9-03 60.21.53-13 29-63 43-0 1. 42-32 55. 6-55 47. 43-54 + 9-13 98. 7. 4-71 98.22. 8-22 32-72 19 56 Leonis . . . 17-05 75 Leonis . . . 16-65 79 Leonis . . . 16-25 c Leonis .... 15-85 ic Virginis. . . 16-75 Moon's U.L. . 102.17.53-95 63. 46. 37-50 29-57 39-0 I. 58-78 55. 34-03 49. 40-74 + 8-30 101.30.25-77 101. 45. 36-79 32-71 20 {' Virginis . . 15-75 re Virginis. . . 16-10 Moon's L.L. . 105. 41. 54-02 67. 10. 37-91 29-76 38-0 2. 19-97 56. 3-76 51. 30-84 -1- 6-89 104. 52. 55-86 104. 37. 36-72 32-69 25 Moon'sU.L. . 105.53.55-68 67. 22. 40-28 29-95 35-0 2. 23-14 58.44-11 54. 2-76 - 7-28 105. 2.15-11 105. 18. 18-05 32-58 26 42 Leon. Min. 15-90 o Leonis Min. 14-70 Leouis 15-75 29 TT Virginis . . . 15-25 May 11 Moon'sU.L. . 82. 9.33-17 43. 38. 18-51 29-87 56-0 0. 54-62 54. 13-09 37. 13-26 + 8-72 81. 33. 13-08 81.48. 1-98 32-26 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to tbe time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" "93. 3(1)2 (428) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer. 1 Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of ! Moon's N.P.D. during the Passage of Semi- diameter. Geocentric N.P. D. ofU. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli. quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1829. O 1 II it jr It ' II f in. o / // / // / a // o / it May 11 v Leonis 14-66 v Virginia . . . 14-70 ;9 Virginia. . . 15-25 n Virginis . . . 14-05 13 Moon's U.L. . 89.38.16-52 8-65 51. 7. 1-37 1-70 29-85 52-0 1.11-51 54. 20-73 42. 7-03 + 9-58 88. 57. 18-37 89.12. 9-37 32-22 if Virginis . . . 14-95 6-75 j Virginis . . . 15-50 7-30 ? Virginia . . . 15-40 7-20 ^ Virginis . . . 14-75 6-55 14 Moon's U.L. . 93. 33. 20-00 12-40 55. 2. 4-85 5-45 29-83 59-0 1.21-19 54. 38-92 44.36-11 + 9-64 92.50. 2-52 93. 4.58-48 32-19 16 a Can.Venat. 13-70 6-10 41 Comae Ber. 13-00 5-40 v Bootis 12-60 5-00 Moon's U.L. . 101. 0.29-38 23-77 62. 29. 15-89 17-88 29-99 49-0 1.51-54 55. 35-55 49. 8-01 + 8-84 100. 13. 13-51 100. 28. 24-94 32-15 17 J Virginis. . . 14-65 7-05 Virginis 13-75 v Comae Ber. . 14-90 v Bootis 14-20 i) Bootis .... 14-30 Moon's U.L. . 104.10.56-15 65.39.41-86 30-00 46-0 2. 9-21 56. 9-96 51. 0-44 + 7-72 103.22. 4-84 103. 37. 25-67 32-13 18 J Virginis . . . 14-15 e Virginis . . . 13-85 v Coma Ber. 14-50 ? Virginis . . . 13-15 Moon's U.L.. 106. 42. 26-53 68.11.12-62 29-82 46-0 2.24-91 56. 45-50 52. 31-89 + 5-87 105. 52. 33-44 106. 8. 3-98 32-11 19 41 ComaeBer. 13-05 Arcturus.. . . 14-70 ir 1 Bootis .... 14-20 35 Bootis . . . 14-10 Moon's U.L. . 108.22.11-90 69. 50. 57-89 29-78 48-0 2. 36-99 57. 20-07 53. 39-86 + 3-33 107.31.20-28 107.47. 0-26 32-08 , 20 11 Bootis .... 14-50 7-00 Arcturus .... 13-90 6-40 ir 1 Bootis .... 13-50 6-00 35 Bootis . . . 13-90 6-40 Moon's U.L. . 108. 59. 20-95 12-90 70.28. 7-00 6-45 29-91 49-0 2. 42-67 57. 51-83 54. 22-42 + 0-16 108. 7.49-07 108.23.37-71 32-06 21 v Bootis 3-40 ij Bootis 13-85 22 ? Virginis . . . 2-95 r Virginia. . . 13-05 Moon's U.L. . 106.46.41-48 68.15.28-17 30-04 46-0 2. 26-51 58.41-92 54. 21-28 6-44 105.54.48-89 106. 10.51-23 32-03 The Moon's U. L. or L. L. was usually obserred when the Center was passiug the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31 '.21" -93. , SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (429) Year, Month, j Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.J Refrac- Tabular Horizontal Bquatoreal Parallax. Increase of Moon's N.P.D. during the Geocentric N.P.D. of U.L. or L. L., and of Tabular lit,],. quity of Ecliptic. and Day. Troughton. Jones. T. J. T. J. meter. I tion. Parallax. Hssagc ut Semi- diameter. Center, at Transit ofl L. or2L. 23.27'. 1829. / it // it O / // // In. / / // / // // / May 23 t Virginia. . . 14-40 Arcturus. . . . 14-30 35 Bootis . . . 14-40 Moon's U.L. . 104. 2.45-00 65. 31. 30-55 30-05 49-0 2. 7-82 58. 59-57 53. 30-97 9-05 103. 11. 20-28 103. 27. 27-44 32-01 26 a Bootis 14-70 June 8 Moon's U.L. . 84. 4.48-68 42-35 45. 33. 34-32 35-59 30-22 61-0 0. 58-50 54. 14-58 38. 32-09 + 9-10 83. 27. 14-20 83.42. 3-52 31-80 y Bootis .... 15-05 7-45 /* Bootis .... 14-10 6-50 /3 Serpentis. . 13-90 6-30 y Serpentis. . 14-40 6-80 9 Moon's U.L. . 87.51.28-80 17-42 49. 20. 13-77 9-99 30-20 60-0 1. 6-84 54. 15-16 40. 57-88 + 9-45 87. 11. 33-32 87. 26. 22-79 31-79 y Bootis .... 14-55 6-95 34 Bootis . . . 15-90 8-30 g* Bootis .... 14-90 7-30 J3 Cor. Bor. . 14-75 7-15 10 Moon's U.L. . 91.45.14-83 7-22 53. 14. 0-17 0-16 30-27 61-0 1. 16-83 54. 26-63 43. 25-76 + 9-62 91. 3. 3-55 91.17.56-16 31-77 y Bootis .... 14-65 7-05 Bootis 14-75 7-15 j Bootis 14-30 6-70 u. Bootis .... 14-95 7-35 11 Moon's U.L. . 95. 38. 20-20 57. 7. 13-31 30-23 66'0 1.27-74 54. 48-60 45.51-02 + 9-54 94.54. 2-42 95. 9. 1-03 31-77 12 Moon's U.L. . 99. 22. 17-20 11-78 60.51. 4-31 5-19 30-21 61-0 1. 42-55 55. 19-64 48. 8-76 + 9-16 98. 35. 51-31 98. 50. 58-40 31-76 Arcturus .... 12-50 6-20 Bootis 13-60 7'30 35 Bootis . . . 12-50 6-20 P Bootis 12-95 6-65 13 Moon's U.L. . 102. 46. 38-78 30-63 64. 15. 25-89 24-04 30-16 62-0 1. 58-02 55. 57-68 50. 14-25 + 8-36 101.58.22-31 102.13.39-79 31-76 14 34 Bootis . . . 12-50 6-20 15 /3 Bootis 11-15 5-35 ;j. Bootis .... 11-90 6-10 Cor. Bor... 11-80 6-00 Cor. Bor. . . 12-40 6-60 Moon's U.L. . 107. 46. 25-42 19-05 69. 15. 13-61 13-04 29-85 57-0 2.29-72 57. 24-38 53. 31-28 + 4-70 106. 55. 29-00 107.11.10-16 31-74 16 (3 Cor. Bor. . . 11-50 5-70 6) Cor. Bor. . . 11-60 5-80 P Serpentis . . 11-30 5-50 29 Hercuiis. . 11-30 5-50 Moon's U.L. . 108. 54. 50-03 45-85 :70. 23. 38-60 40-22 29-73 49'0 2. 41-04 58. 6-31 54. 34-49 + 1-71 108. 3. 6-18 J108. 18. 58-78 31-73 The Moon's U. L, or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. (430) BEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer. Refrac- tion. Tabular horizontal Squatoreal Parallax. Parallax. Increase of Moon's N.P.D. during tbe Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, atTransit of I L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.-27'. 1829. JunelS- Moon's ILL. . ' // 105. 15. 55-20 ff n o / // 66.44.43-77 n in. 29-80 o 53-0 / n 2. 13-08 / // 59. 28-63 / n 54. 28-25 // 8-43 O / // 104.23.42-10 104.39.57-19 /f 31-72 21 Arcturus. . . . Moon's U.L. . 97. 45. 57-35 11-90 59. 14. 44-86 29-70 55-0 1. 35-69 59. 34-76 51. 0-57 -11-98 96. 56. 29-93 97. 12. 46-70 31-72! 22 Moon's U.L. . 93. 13. 22-52 54. 42. 10-71 29-75 56-0 1. 20-48 59. 25-49 48. 18-09 12-51 92. 26. 22-52 92. 42. 36-76 31-72 23 Moon'sU.L. . 88. 32. 57-33 50. 1.45-52 29-90 61-0 1. 7-68 59. 10-13 45. 8-41 12-39 87. 48. 54-33 88. 5. 4-38 31-72 24 S Bootis & Cor. Bor. . . & Serpentis . . ; Serpentis . . ic Serpentis . . y Herculis. . . 12-60 13-55 11-90 11-85 12-10 11-40 July 6 Cor. Bor. . . y Herculis. . . ,8 Herculis. . . Herculis.. . 13-30 13-00 13-40 12-25 7 Moon'sU.L. . 89. 56. 47-00 51. 25. 34-01 29-67 63-0 1. 10-05 54. 11-86 42.11-13 + 9-50 89. 15.45-36 89. 30. 33-93 31-77 12 Moon'sU.L. . e Herculis. . . !>* Herculis. . . X. Herculis. . . P Herculis . . 106.45.12-85 3-52 14-65 13-30 13-55 14-40 8-05 6-70 6-95 7-80 68. 13. 58-87 56-14 29-50 59-0 2. 19-92 56. 55-70 52. 42-32 + 5-89 105.54.51-15 106. 10. 24-47 31-81 13 Moon's U.L. . 108. 24. 52-32 43-00 69. 53. 38-36 35-64 29-71 61-5 2. 32-72 57. 48-46 54. 7-34 + 3-34 107. 33. 20-97 107.49. 8-70 31-83 14 a. Cor. Bor Serpentis . . Herculis. . . t Herculis . . . Moon'sU.L.. 109. 0.62-93 57-23 13-90 14-00 13-50 13-65 7-30 7-40 6-90 7-05 70.29.49-17 50-07 29-76 63-0 2. 37-53 58. 39-68 55. 7-94 + 0-02 108. 8.41-12 108. 24. 42-85 31-84 16 >! Herculis. . . f Herculis. . . X Herculis. . . I* Herculis . . Moon'sU.L. . 106. 31. 50-53 14-45 13-80 1275 13-45 68. 0.36-92 29-87 54-0 2. 21-54 59. 59-19 55. 26-98 - 7-27 105.38.46-14 105.55. 9-58 31-86 19 Moon'sU.L.. 95. 3.14-58 56.32. 1-62 29-88 50-0 1.2T61 60. 14-02 50. 2-96 -12-85 94. 14. 35-35 94. 31. 2-84 31-90 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" "93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (431) Year, Month, i Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.l Refrac- Tabular lorizontal j^quato real Parallax. Increase of Moon *B N.P.D. luring the Geocentric N. P. D. of U. L. or L. L., and of Tabular Obli- quity of Ecliptic. and Day. Troughton. Jones. T. J. T. J. meter. E V g tion. Parallax. Semi- diameter. -enter, at Transit of 1L. or2L. 23.27'. 1829. ' It ' U in. O ' / a / tt O r ft July 20 K Lyrae 13-30 a. Lyrae 13-15 Moon's U. L. 90. 17. 28'33 51.46.15-37 30-05 51-0 1. 13-84 59.51-77 46. 49-20 12-87 89. 31. 49-07 89. 48. 10-49 31-92 21 Cor. Bor. . 12-50 f 2 Herculis . . 12-90 p Herculis . . 12-85 K Lyras 13-30 Moon's U. L. 85.37. 0-68 47. 5.47-79 30-11 57-0 1. 1-98 59. 20-89 43. 15-78 12-17 84. 54. 43-75 85. 10. 56-73 31-94 Aug. 7 y Aquilae .... 12-85 8-25 a. Aquilae. . . . 12-80 8-20 /3 Aquilas. . . . 13-85 9-25 8 Moon's U. L. 105. 32. 50-48 47-62 67. 1.37-40 39-24 30-06 70-0 2. 11-48 56. 1-79 51.25-31 + 6-57 104. 43. 39-85 104. 58. 58-45 32-24 a. Ophiuchi. . 12-80 7-80 10 Moon's U. L. 108.43. 9-88 5-72 70. 11. 55-63 56-47 29-85 62-0 2. 35-80 57. 51-53 54. 16-56 + 1-76 107.51.35-46 108. 7.24-02 32-26 a Sagittae. . . . 14-15 9-15 y Aquilae .... 13-15 8-15 a Aquilae. . . . 14-90 9-90 /3 Aquilae. . . . 14-80 9-80 11 K Lyrae 13-80 8-80 Moon's U. L. 108.45.18-48 16-08 70.14. 4-09 6-69 30-05 58-0 2. 38-42 58. 50-08 55. 12-26 1-67 107. 52. 55-15 108. 8.59-71 32-28 8 Lvrae . , 14-05 9-05 ' 16 y Aquilae. . . . 13-50 a Aquilae . . . 12-35 /3 Aquilae. . . . 14-15 Moon's U. L. 92. 28. 49-57 53. 57. 35-94 30-02 45-01.20-83 60. 56-24 49. 4-17 13-51 91.41. 1-02 91. 57. 40-05 32-38 19 8 Herculis . . 14-50 P Cygni .... 13-40 20 23 Vulpeculae 12-85 10-85 y Cygni 13-6011-60 a Cygni 14-1512-15 Moon's U. L. 75.45.24-12 37. 14. 10-62 29-69 47-00.44-09 58. 9-15 34. 58-46 - 7-67 75. 11. 10-51 75.27. 3-89 32-45 21 Cygni 12-25 10-25 Moon's U. L. 73. 29. 37-25 33-80 34. 58. 24-04 22-59 29-84 51-00.40-46 57. 19-90 32. 39-01 4-90 72.57.41-80 73. 13. 21-74 32-46 Sep. 8 Moon's L.L. . 108.43.56-13 53-10 70. 12.42-17 41-24 29-50 54-0 2. 36-61 58. 37-79 55. 0-47 3-39 107.51.43-17 107.35.41-96 32-69 ? Delphini. . 13-65 11-55 a Delphini. . 14-55 12-45 32 Vulpeculae 14-25 12-15 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. - (432) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.] Refrac- tion. Tabular Horizonta Equatorea Parallax. Parallax. Increase of Moon's N. P.D. during the Passage of Semi- diameter. Geocentric N. P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones T. J. T. J. 23.27'. 1829. O ' " n a // / " H m. o / // / // i // it O / n U Sep. 8 K Pegasi . . . 13-40 11-30 12 a Sagittce. . . 12-80 ? Delphini. . 12-75 Moon's U.L. 95. 3. 6-63 56.31.54-39 29-51 48-0 1. 26-87 61. 24-49 51. 1-44 13-53 94. 13. 55-28 94. 30. 42-02 32-71 Procyon . . . 12-00 Pollux 11-40 14 Cygni 12-25 v Cvgni . . , 13-95 Moon's U.L. . 85.11.57-80 46.40.45-11 29-42 44-0 1. 1-30 60. 58-83 44. 8-92 13-13 84. 28. 46-29 * 84. 45. 26-03 32-72 Castor 11-80 Pollux 12-75 19 i Cvarni . . 13-85 Moon's U.L. . 72. 5.19-93 33.34. 6-97 29-79 44-0 0. 38-87 56. 34-54 31. 4-37 0-07 71.35. 3-33 71. 50. 30-88 32-73 Castor 12-70 Procyon .... 13-40 Pollux.. 11-90 21 Sagittse. . . . 13-75 12-05 ? Delphini. . . 12-80 11-10 v Delphini. . . 12-55 10-85 J Delphini. . . 13-05 11-35 Moon's L.L. . 74. 26. 46-73 43-95 35. 55. 33-69 32-61 29-75 48-0 0. 42-04 55. 9-37 32. 9-61 + 4-85 73. 55. 32-36 73. 40. 28-08 32-73 Oct. 5 Moon's L.L. . 109. 4.28-05 28-20 70. 33. 14-02 15-17 29-48 51-0 2. 40-40 57. 22-73 53. 57-00 1-96 108. 13. 21-89 107.57.41-18 32-67 B- 2 Pegasi .... 14-15 13-15 Cephei .... 14-80 13-80 o Androniedae 12-70 11-70 d Cassiopeia'. 14-45 13-45 6 Moon's L.L. . 107. 51. 35-77 35-73 69. 20. 22-89 22-48 29-60 45-0 2. 32-86 58. 15-63 54.21-18 - 5-13 107. 0. 1-43 106. 44. 6-28 32-65 y Sagittae. . . . 12-75 13-05 y Delphini. . . 13-50 13-90 ft Pegasi . 12-95 13-35 (3 Pegasi 12-30 12-70 7 Moon's L.L. . 105.33.11-52 67. 1.59-19 29-38 39-0 2. 16-94 59. 9-.7S 54. 18-24 8-15 104.41.27-97 104. 25. 18-02 32-65 n Peeasi. . il'85 I*. Pegasi .... 11-60 /3 Pegasi 13-35 56 Pegasi . . . 12-50 8 1 Pegasi .... 13-20 13-00 Moon's L.L. . 102. 13. 53-18 49-77 63. 42. 39-44 36-23 29-93 41-0 1. 59-38 60. 0-25 53.37-14 10-71 101.22.32-72 101. 6. 8-98 32-63 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (433) Year, Month, and Day. Name of Object. Circle Reading. Troughton. Jones Zenith Point 38. 31'. T. J. Apparent Zenith Distance. T. Baro- meter. Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N.P.D. during the Passage of Semi- iliameU'r. Geocentric N.P. D.of U. L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obli quity of Ecliptic. 23. 27'. 1S29. Oct. S 9 ij Pegasi . . . y Aquilae. . . a Aquilae. . . ,3 Aquilas . . . ^Moon's L.L. w Piscium . 14 n Pegasi . . . Pegasi . . . Moon's ILL. y Aquilae. . . a. Aquilae. . . 13-70 13-50 98. 3. 59-42 59-38 75.28. 6-43 14-0013-80 14-0513-85 15-0014-80 13-8013-60 13-00 13-70 14-85 16-45 59.32.45-21 45-37 30-2437-01.42-33 60.41-5352. 7-73 12-54 36.56.51-83 29-9340-00.44-63 59.41-9935.39-91 8-06 97. 13. 54- 3G 96. 57. 19-35 74. 53. 10-52 75. 9.29-27 32-62 32-55 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. GREENWICH LUNAR REDUCTIONS. (434) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Approx- imate Zenith Distance. Baro- meter. Ther- mo- meter. Refrac- tion. Seconds of 1 Star's Tabular! N. P. D. Correction for Index Error. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of MOOD'S N.P.D. during the Passage of Semi- diameter. Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. Tabular Obliquity of Ecliptic. 23. 27'. 1829. o / n O ' " in . , / , , n f II Nov. 6 (T) Moon's L. L. . 95.36. 5-15 57. 4.52 29-76 47-0 1. 29-63 59. 59-28 50. 9-78 12-59 94. 47. 49-52 94.31.26-05 32-13 (T) a Andromedae. 61.50. 7-83 23. 18. 55 29-76 46-0 0.25-13 46-57 + 0. 13-61 (J) Moon's L. L. . 95. 36. 10-28 57. 4.52 29-76 47-0 1. 29-63 59. 59-28 50. 9-78 12-59 94. 47. 50-54 94.31.27-07 32-13 (J) a, Andromedae. 61.50.15-15 23. 18. 55 29-76 46-0 0.25-13 46-63 + 0. 6-35 7 (T) Aquilae 81.33. 8-40 43. 1. 55 29-78 44-0 0. 54-64 14-51 + 0.11-47 (T) /3 Aquilae 83. 59. 19-98 45.28. 7 29-78 43-5 0. 59-55 30-23 + 0.10-70 (J) a Aquilae 81.33. 11-88 43. 1. 55 29-78 44-0 0. 54-64 14-51 +0. 7-99 (J) Aquilas. . . . 83. 59. 21-55 45.28. 7 29-78 43-5 0. 59-55 30-23 + 0. 9'13 (T) a Aquarii .... 91. 6.59-40 52. 35. 46 29-80 41-0 1. 17-00 26-95 + 0. 10-55 (T) Moon's L. L. . 90. 50. 29-93 52. 19. 17 29-80 39-0 1. 16-56 . . . . 60. 24-63 47. 36-58 13-21 90. 4. 34-03 89.48. 3-60 32-11 (J) a. Aquarii .... 91. 7. 3-22 52. 35. 40 29-80 41-0 1. 17-00 26-95 + 0. 6-73 (J) Moon's L. L. . 90. 50. 35-20 52. 19. 17 29-30 39-0 1. 16-56 . . 60. 24-68 47. 36-58 -13-21 90. 4.36-34 89.48. 5-91 32-11 8 (T) Pegasi 75. 41. 24-72 37. 10. 12 29-91 41-0 0.44-87 19-90 + 0. 10-31 (T) a Andromedae. 61.50. 9-37 23. 18. 56 29-92 40-0 0. 25-58 46-44 + 0.11-49 (T) -V Peeasi. . 75. 44. 42-68 37. 13. 30 29-92 40-0 0. 45-06 38'71 + 0. 10-97 (T) Moon's L. L. . 86. 1. 14-02 47. 30. 1 29-91 39-0 1. 4-80 60. 36-38 44. 28-38 13-02 85. 18. 14-38 85. 1.40-87 32-09 (J} a, Pesrasi . 75. 41. 27-43 37. 10. 12 29-91 41-0 0. 44-87 19-90 + 0. 7-60 (J) a Andromedae. 61. 50. 14-28 23. 18. 56 29-92 40-0 0. 25-58 46-44 + 0. 6-58 75. 44. 46-42 37. 13. 30 29-92 40-0 0. 45-06 38-71 + 0. 7-23 (J) Moon's L. L. . 86. 1. 14-55 47.30. 1 29-91 39-0 1. 4-80 60. 36-38 44. 28-38 13-02 85. 18. 11-13 85. 1.37-62 32-09 10 (T) Moon's L. L. . 77.37.34-13 39. 6.21 29-70 4TO 0.47-17 t t 60. 10-00 37. 43-92 9-76 77. 0.58-06 76.44.31-64 32-05 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. 1829. Nov. 6, 7, 8. The mean of the results by " Troughton" and "Jones" is used for the computation of Longitude and E. N.P.D. in Section III. ' SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (435) Year, Month, i Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.l Refrac- Tabular Horizontal Eouatoreal Parallax. Increase of Moon's N.P.0. during the Geocentric N.P.D.of U.L. or L. L., and of Tabular Obli- quity of Ecliptic. and Day. Troughton. Jones. T. J. T. J. meter. L. B p tion. Parallax. Semi- diameter. Center, at Transit of 1 L. or 2 L. 23.27'. 1829. o / // n // // o i // in. O / // / // / // // o / '/ If Nov. 15 Moon's L.L. . 74. 38. 19-25 36. 7. 5-96 29-91 35-0 0. 43-73 56. 3-96 32. 50-59 + 5-56 74. 6.26-59 73.51. 7-39 31-94 16 Pegasi .... 13-20 X Pegasi .... 12-20 n Pegasi .... 14-25 y Pegasi .... 13-50 Moon's L.L. . 77. 1.59-80 38. 30. 46-51 30-23 29-0 0. 48-81 55. 20-02 34. 15-30 + 7-18 76. 28. 49-13 76. 13. 41-94 31-92 18 Moon's L.L. . 83.27. 5-17 44. 55. 52-26 30-30 27-0 1. 1-56 54. 22-00 38. 12-31 + 8-93 82. 50. 12-37 82. 35. 21-03 31-88 19 80 Piscium . . 12-96 ?' Piscium. . . 14-00 /* Piscium. . . 12-80 v Piscium . . . 11-90 Moon's L.L. . 87. 9. 3-53 48. 37. 50-62 30-22 23-0 1. 10-47 54. 9-24 40. 27-25 + 9-29 86. 30. 5-06 86. 15. 17-21 31-86 Dec. 6 ir Andromedae 11-90 15-40 105 Piscium. 10-15 13-65 Moon's L.L. . 83. 30. 15-35 17-95 44.59. 3-80 2-90 30-35 30-0 1. 1-38 59. 42-08 41.59-59 12-03 82.49.39-10 82. 33. 20-33 31-61 a. Arietis .... 11-55 15-05 Arietis .... 12-60 16-10 11 i) Piscium . . . 11-90 105 Piscium. 12-70 12 Moon's L.L. . 73. 34. 34-98 35. 3.22-75 30-11 40-0 0.41-89 56. 47-25 32. 24-56 + 4-55 73. 3. 6-56 72. 47. 35-54 31-56 13 8 Arietis .... 11-65 a Arietis .... 12-65 Moon's L.L. . 75.38. 0-02 37. 6.47-81 30-13 37-0 0. 45-48 56. 2-37 33. 36-55 + 6-62 75. 5.25-29 74.50. 6-53 31-56 14 ? Andromedae 12-75 i) Piscium . . . 11-80 1830. Jan. 5 19 Arietis. . . 13-25 15-25 Moon's L.L. . 74. 33. 54-50 56-05 36. 2.39-87 39-42 30-21 ; 34-0 0.44-14 58. 24-13 34. 9-05 6-36 74. 0.43-03 73. 44. 45-55 31-61 0' Tauri 14-85 16-85 Aldebaran. . . 15-40 17-40 ' Orionis . . . 15-00 17-00 X Orionis. . . . 15-10 17-10 1 6 1 Arietis 14-75 16-75 J Arietis .... 13-45 15-45 7 Moon's L.L. . 72.18. 6-75 6-65 33. 46. 52-17 50-07 29-81 33-0 0.40-12 57. 28-56 31.44-79 + 0-08 71.47. 8-30 71.31.26-00 31-64 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. 3 (K) 2 (436) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. Thermometer.] Refrac- tion. Tabular Horizontal Equatoreal Parallax. Parallax. Increase of Moon's N. P. D. during the Passage of Semi, diameter. Geocentric N.P.D.of U.L. or L. L., and of Center, at Transit of 1 L.or2 L. Tabular Obli- quity of Ecliptic. Troughton. Jones. T. J. T. J. 23.27'. 1830. / " It o / " // in. o " O I // " ' Jan. 29 5 Arietis 14-10 16-10 r 2 Arietis. . . . 12-40 14-40 31 Moon's L.L. . 78 30. 57-32 55-40 39. 59. 44-07 40-15 29-93 18-5 0.52-10 58. 44-70 37.32-71 9-58 77.54.33-01 77. 38. 29-91 32-04 Feb. 1 Moon's L.L. . 75.29.31-23 27-75 36. 58. 17-98 12-50 29-69 23-0 0. 45-93 59. 13-59 34. 48-37 T14 74.55.41-87 74. 39. 47-28 32-06 3 Moon's L.L. . 72. 28. 45-77 43-55 33. 57. 32-52 28-30 29-75 19-0 0.41-54 57. 10-68 31. 43-78 1-10 71.57.51-20 71.42. 13-79 32-10 9 J 1 Tauri 14-50 Aldebaran. . . 15-25 < Tauri 14-00 o Tauri 15-00 Moon's L.L. . 85. 39. 46-53 47. 8.31-84 29-55 35-0 1. 3-76 54. 27-99 39.44-18 + 9-37 85. 1. 22-72 84. 46. 29-75 32-22 10 e Tauri 14-50 XV Aldebaran 14-10 ir 1 Orionis . . . 14-70 a Orionis. . . . 14-15 11 Moon's L.L. . 93. 22. 44-80 54. 51. 30-44 30-04 35-0 1.25-36 54. 5-77 44. 3-52 + 9-39 92. 40. 23-60 92. 25. 36-69 32-26 12 ft Tauri 15-25 Moon's L.L. . 97. 7.39-70 58. 36. 25-20 30-02 29-0 1.39-58 54. 6-58 46. 1-07 + 9-05 96. 23. 34-69 96. 8. 47-57 32-28 Mar. 3 Moon's L.L. . 72. 32. 32-32 30-88 34. 1. 18-12 17-48 30-25 40-0 0. 40-49 56. 45-41 31. 32-84 + 0-97 72. 1.46-41 71.46.15-90 32-58 5 Geminoruiu 14-05 13-25 J Geminorum 13-90 13-10 3 Cancri .... 14-35 13-55 a. 1 Cancri. . . . 14-50 13-70 4 23 Geminor. . 13-65 13-15 51 Geminor. . 13-85 13-35 Moon's U. L. 72.51.20-43 21-42 34.20. 6-58 8-07 29-90 33-0 0. 41-09 56. 7-53 31. 26-94 + 3-66 72. 20. 39-75 72. 35. 59-91 32-59 3 Cancri .... 13-65 13-15 t] Cancri 14-25 13-75 5 H Geminor. . 10-70 23-20 P Geminorum 10-45 22-95 v Geminorum 10-65 23-15 51 Geminor. . 11-40 23-90 * Moon's U. L. 74.37. 1-92 14-83 36. 5.51-12 51-53 29-86 35-0 0. 43-62 55. 34-45 32. 32-24 + 5-82 74. 5. 18-82 74. 20. 29-95 32-60 6 i) Geminorum 8-45 22-35 23 Geminor. . 8-60 22-50 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (437) Year, Month, and Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. rmoineter.l Refrac- tion. Tabular Horizontal Equatoreal n 11 Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N.P.D. of U.L. or L. L., and of Center, at Transit Tabular Obli- quity of Ecliptic. Day. Troughton. Jones. T. J. T. J. i Herculis. . . 17-70 59 Herculis. . 16-00 68 Herculis. . 16-60 10 it Herculis. . . 7-75 27 Moon's U. L. 99. 6.29-68 29-97 60.35.12-15 10-14 30-24 78-0 1.38-20 54. 14-71 47. 4-85 + 8-86 98. 20. 57-57 98. 35. 46-92 32-01 50 Herculis. . 7-15 9-45 96 Herculis. . 7-20 9-50 105 Herculis. 7-35 9-65 Aldebaran . . 8-40 20-70 28 WOOD'S U.L. . 02. 24. 45-63 49-83 63.53.27-19 30-55 30-17 75-5 1. 53-10 54. 23-91 48. 40-88 + 7-98 101.37.55-04 101.52.46-90 32-04 a- Ophiuchi . . 8-38 9-22 Herculis. . . 8-43 9-27 04 Herculis. 8-33 9-17 05 Herculis. 8-63 9-47 29 Moon's U. L. 05. 13. 30-58 0-05 66. 42. 12-44 1-07 29-96 73-0 2. 8-27 54. 43-71 50. 6-32 + 6-69 104.25.28-95 104.40.26-22 3-2-06 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co- Latitude 38. 31'. 21" '93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (441) Year, Month, And Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.1 Refrac- Tabular Horizontal iquatoreal Parallax. Increase of Moon's N.P.D. during the Geocentric N. P. D. of U. L. Tabular Obli- quity of Ecliptic. or L. L., and of Day. Troughton. Jones. T. J. T. J. meter. L. V _= tion. Parallax. Semu diameter. Center, atT ransit of 1 L. or 2 L. 23. 27'. 1830. o f ti n ft // O / ft // in. O / // ' /; ' a // O ' /' If July 29 105 Herculis. 17-88 18-72 ?' Lyra, 17-88 18-72 30 Moon's ILL. . 107.23.51-52 50-75 68. 52. 33-69 32-08 29-83 71-0 2. 22-68 55. 12-70 51. 20-63 + 4-89 106. 34. 51-98 106. 49. 57-17 32-07 59 Herculis. . 17-98 18-82 31 Moon's U.L. . 108. 46. 20-02 24-95 70. 15. 2-19 6-28 29-97 68-0 2. 34-98 55. 49-45 52. 23-06 + 2-55 107. 56. 35-54 108. 11. 50-77 32-09 n Lvrae. . 17-58 18-42 Aug. 2 e 1 Lyrae 15-70 18-50 Moon's U.L. . 108. 34. 59-13 61-17 70. 3.42-50 42-72 29-82 56-0 2. 36-40 57.15-11 53. 39-60 3-36 107.44. 4-70 107. 59. 43-33 32-13 3 68 Herculis. . 15-25 18-05 4 15 Draconis . 15-95 M 18 Draconis . 16-15 19 Draconis . 16-70 Draconis . . 15-95 Moon's U.L. . 104. 5.51-47 65. 34. 35-28 29-77 65-0 2. 2-87 58. 34-62 53. 9-61 9-00 103.14.41-47 103.30.41-81 32-18 5 9 Herculis. . . 16-48 105 Herculis. 15-88 a Sagittee . . . 15-98 ? Sagittae 15-83 Moon's U.L. . 100.26. 2-67 61. 54. 46-63 29-90 52-0 1. 47-99 59. 4-40 51. 55-94 10-99 99. 35. 49-62 99. 51. 68-10 32-20 11 Moon's U.L. . 74. 56. 27-97 36. 25. 12-53 29-60 58-0 0.41-73 58. 53-80 34. 44-97 - 7-68 74. 22. 23-54 74.38.29-12 32-33 12 e Aquilae . . . . 15-50 i) Lyrae 15-55 13 i/ Herculis . . . 14-35 TJ Lyrae 16-35 23 31 Aquilae. . . 15-50 19-60 ix Aquilae. . . . 15-50 19-60 26 Moon's U.L. . 106. 28. 36-90 36-63 67. 57. 20-46 16-46 29-76 62-0 2. 18-37 54.42-12 50. 32-68 + 5-63 105. 40. 20-45 105.55. 17-29 32-61 28 Moon's U.L. . 109. 3.43-95 47-17 70.32.27-13 26-99 29-45 55-0 2. 38-82 55. 55-31 52. 34-32 + 1-06 108. 13. 52-43 108.29. 9-26 32-65 13 Vulpeculae 16-37 19-73 28 Cygni.. . . 18-37 21-73 29 Moon's L.L. . 109. 28. 4-80 9-23 70. 56. 48-43 49-50 29-94 53-0 2. 45-78 56. 43-62 53. 27-99 - 1-85 108. 37. 30-54 108.22. 0-51 32-67 1 Vulpeculae . 16-47 19-83 p Aquilae. . . . 16-62 19-98 28 Cygni 16-47 19-83 a. Orionis. . . . 15-92 19-28 The Moon's U. L. or L. L. was usually obserred when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, iu the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. GREENWICH LUNAR REDUCTIONS. 3(L) (442) KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- meter. :rmometer.l Refrac- tion. Tabular Horizontal Equate real Parallax. Increase of Moon's N.P.D. during the Passage of Geocentric N.P.D.ofU.L. or L. L., and of Center, atTransit Tabular Obli- quity of Ecliptic, Day. Trough ton. Jones. T. J. T. J. Parallax. Semi- diameter. of I L. or 2 L. 23.27'. 1830. o / // a in. / // / // < /; // o / n // Aug. 30 113 Herculis. 17-47 20-83 ISVulpeculae 16-77 20-13 Moon's L. L. . 108.18. 7-32 10-28 69. 46. 50-01 49-61 30-11 52-0 2. 36-85 57. 35-72 53. 53-30 4-91 107.27. 0-20 107. 11. 15-95 32-68 28 Cygni 17-87 21-23 Delphini. . . 17-12 20-48 31 e Aquilae .... 17-77 21-13 j3 Sagittae . . . 17-12 20-48 ? Sagittae . . . 17-37 20-73 y Sagittae. . . . 16-87 20-23 Moon's L.L. . 106. 3. 0-50 5-62 67. 31. 43-22 44-98 30-21 53-0 2. 20-09 58. 27-85 53. 51-55 7-82 105.11.42-39 104. 55. 43-90 32-69 Sep. 1 _ 16-80 28 Cygni 17-35 41 Cygni .... 16-85 a Deiphini. . . 17-10 Moon's L.L. . 102. 47. 16-50 64. 15. 59-47 30-17 54-0 2. 0-04 59. 14-89 53. 11-78 10-30 101. 56. 19-96 101.40. 8-61 32-72 4 13 Vulpeculae 15-85 y Sagittae. . . . 15-95 5 Moon's IJ.L. . 83. 45. 17-58 45. 14. 1-14 29-51 51-0 0. 57-63 60. 17-85 42. 35-70 12-75 83. 3. 32-25 83.20. 0-79 32-77 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (443) Year, Month, and Day. 1830. Sep. 8 11 Name of Object. (J) a Cygni (J) Moon's U. L. (J) Capella . (J) Rigel. . . (J) a Aquilae (J) (9 Aquilae. . . , (J) Procyon (J) Moon's L. L. Circle Reading. 45. 18. 51-29 73. 20. 40- 10 44. 11. 12-55 98. 22. 30-40 81. 33. 10-74 83.59.21-27 84. 19. 53-09 73.12.11-34 Approx- imate Zenith Distance. 6. 47. 29 34. 49. 18 5. 39. 51 59.51. 8 43. 1.49 45. 27. 59 45.48.31 34. 40. 49 Baro- meter. Ther- mo- meter. 29-91 29-76 29-76 29-76 29-63 29-63 29-29 29-29 O 53-0 45-0 45-0 45-0 48-0 48-0 52-0 53-0 Refrac- tion. 0. 6-87 0. 40-62 0. 5-79 1. 40-26 0. 53-92 0. 68-70 0. 58-24 0.39-12 0-3 . SIS If* If! 59-10 19-47 12-46 6-63 22-69 53-54 Correction for Index Error. + 0. 0-94 + 0. 1-13 + 0. 1-80 + 0. 1-97 +0. 2-72 + 0. 2-21 Tabular Horizontal Equatoreal Parallax. 58. 52-61 57. 0-46 Parallax. 33.24-13 32. 13-64 Increase of Moon's N.P.D. during the Passage of Semi- diameter. Geocentric ;N.P.D. of U.L. or L. L., and of Center, at Transit of 1 L. or 2 L. 5-66 4-07 72. 47. 52-22 73. 3.57-48 72.40.43-19 72.25. 8-56 Tabular Obliquity Ecliptic. 23. 27'. 32-81 32-83 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. (444) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, and Day. Name of Object, Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- neter. Thermometer. 1 Refrac- tion. Tabular lorizontal ^quatoreal Parallax. Parallax. Increase of ' Moon's N.P.D. during the Passage of Semi- diameter. ; Geocentric N. P. D. of U. L. or L. L., and of Jenter.atTransit of 1 L. or 2 L. Tabular Obli- uity of Kcliptic. Troughton. Jones. T. J. T. J. 3.27'. O 1 II a II n o / u i ID. o / // / // / n ii O / II H 1830. Sep. 25 Moon's L.L. . 109.40. 7-02 14-40 71. 8.54-40 52-52 29-78 51-0 2.47-45 55. 47-96 52. 39-39 0-52 108. 50. 23-97 108. 35. 9-15 32-90 24Vulpeculae 13-32 22-58 39 Cygni 13-07 22-33 41 Cygni .... 11-82 21-08 14 Pegasi . . . 12-27 21-53 26 Moon's L.L. . 109. 0. 6-00 15-45 70.28.54-44 54-63 30-2-2 50'0 2.44-12 56. 38-01 53. 13-55 3-39 108. 9.50-43 107. 54. 21-94 32-90 y Aquilae. . . . 11-62 20-88 a. Aquilae. . . . 11-67 20-93 ,9 Aquilae. . . . 12-07 21-33 1 (61) Cygni. 10-87 20-13 30 39 Cygni 12-90 20-90 f Cygni . . 13-45 21-45 v Pegasi .... 13-65 21-65 30 Pegasi . . . 12-45 20-45 Moon's L.L. . 90. 28. 52-47 61-25 57. 57. 39-36 40-14 29-90 44-0 1. 33-91 60. 17-85 50. 55-25 12-94 95. 39. 53-28 95. 23. 24 74 32-88 Oct. 2 Moon's L.L. . 86. 33. 40-53 48. 2.27-74 29-90 55-0 1. 3-88 61. 7-39 45. 14-40 -13-78 85. 49. 25-37 85. 32. 43-30 32-88 4 f Aquilae .... 12-00 < Pegasi .... 13-05 I Lacertae. . . 14-15 ' x'Andromedae 14-50 Moon's U.L. . 77-10.42-12 38. 39. 28-69 :0'27 43-0 0.47-70 60. 39-81 37. 40-35 10-44 76. 33. 47-53 76. 50. 22-07 32-86 5 v Cvarni . . 14-55 71 Cygni 13-65 m Lacertae . . . 1405 Moon's U.L. . 74. 5.47-80 35. 34. 34-24 30-27 45-0 0. 42-49 60. 1-81 34. 42-19 7-26 73. 31. 49-21 73. 48. 13-37 32-86 6 Moon'sU.L. . 72. 12. 39-57 33.41.25-57 30-22 45-0 0. 39-54 59. 14-18 32. 38-35 - 3-58 71. 40. 45-1 71.66.56-26 32-86 7 1 Pegasi .... 14-40 it Pegasi .... 13-90 26 Moon's L.L. . 102. 52. 59-63 69-05 64.21.48-89 48-01 30-16 40-0 2. 4-05 58. 16-33 52.21-82 9-81 102. 3. 2-42 101.47. 7-07 32-61 71 Pegasi . . . 10-60 20-90 78 Pegasi . . . 10-50 20'8( 6 Andromedoe 10-75 21-05 v Andromeds 11-10 21-41 29 71 Cygni... 9-95 21-55 Moon's L.L. 89.18.21.12 30-63 50. 47. 10-49 9-05 29-67 44-0 1. 11-4 60. 54-14 46. 58-75 -13-95 88. 32. 58-31 88. 16. 19-85 32-56 30 Moon's L.L. 84.18.58-93 45. 47. 48-30 29-93 40-0 1. 0-98 61.20-71 43. 45-64 13-68 83. 36. 39-25 83. 19. 53-55 32-54 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" '93. _ _____ _ SECT. II. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (445) Year, Month, 1 Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.J Refrac- Tabular Jorizontal Dquatoreal Parallax. Increase of Moon's N.P.D. during the Geocentric N. P. D. of U. L. or L. L., and of Tabular Obli- quity of IcUptic. and Day. Troughton. Jones. T. J. T. J. meter. h B M H tion. Parallax. Semi- diameter. 'enter, at Transit of 1L. or2L. 23.27'. 1830. Oil H II // 1 II // in. o ' // / a / // // O ' // U Oct. 31 1 Lacertae . . . 11-45 23-05 Moon's L.L. . 79. 43. 43-92 41. 12. 33-29 29-98 51-0 0. 50-87 61. 26-57 40. 15-47 12-23 79. 4.18-39 78. 47. 31-09 32-52 Nov. 4 p Cephei .... 12-35 QAndromedafi 11-60 t//Cassiopeiae. 11-60 it Piscium . . . 11-20 Moon's L.L. . 72. 9.28-65 33. 38. 16-96 29-82 45-0 0. 38-93 58. 46-91 32. 20-73 + 2-16 71. 37. 59-25 71.21.55-55 32-45 7 a. Lyras 1 1-65 22-65 aAndromedae 10-75 21-75 y Pegasi .... 12-10 23-10 Moon's L.L. . 78.45.29-13 18-62 40. 14. 17-37 15-86 29-50 40-0 0. 49-48 56. 1-63 35. 59-36 + 8-62 78. 10. 37-29 77. 55. 18-74 32-39 8 y Eqnnlei . . . 12-55 23-55 X Pegasi .... 10-65 21-65 ^ Andromedae 11-00 22-00 Regulus 9-35 20-35 Moon's L.L. . 82. 17. 19-07 30-83 43.46. 8-18 8-94 29-75 34-0 0. 57-19 55. 20-58 38. 5-22 + 9-41 81.40.31-87 81.25.24-53 32-37 22 a. Aquilae .... 14-50 24-30 Moon's L.L. . 104.24. 10-60 18-33 65. 52. 57-79 55-72 29-82 45-0 2. 10-01 57. 3-26 51. 54-51 8-58 103. 34. 42-77 103.19. 7-38 32-16 /SArietis .... 12-30 22-10 fl 1 Arietis 12-15 21-95 12-30 22-10 23 Moon's L.L. . 100.49.41-53 48-17 62. 18. 29-42 25-36 30-13 42-0 1.52-94 57. 54-60 51. 6-06 10-50 100. 0.46-70 99. 44. 57-57 32-14 56 Pegasi . . . 12-30 23-00 I 1 Piscium . . . 12-35 23-05 /3 Arietis .... 11-95 22-65 y Leonis .... 11-85 22-55 24 X Pegasi .... 12-75 23-35 Moon's L.L. . 96. 35. 23-80 32-75 58. 4.11-77 10-12 30-30 34'0;l. 37-40 58. 46-51 49.41-71 12-05 95. 47. 40-62 95. 31. 37-03 32-12 & Arietis .... 11-60 22-20 19 Arietis. . . 12-15 22-75 ^ Ceti . ... 11-60 22-20 26 Y Leonis .... 24-55 $ Leonis 23-15 55 Ursae Maj. 24-70 $ Leonis 23-20 27 Moon's L.L. . 82. 11. 23-07 43. 39. 59-17 29-49 34-0 0. 66-49 60. 56-54 41.51-69 13-00 81.30.38-90 81. 13. 59-79 32-08 Dec. 22 Moon's L.L. 93. 50. 25-78 37-67 55. 19. 13-82 13-11 29-25 44-0 1. 22-97 58. 25-91 47.51-57 12-22 93. 4. 19-02 92. 48. 21 -Ob 31-95 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passasre of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" "J3. GREENWICH LUNAR REDUCTIONS. 3(M) (446) REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Year, Month, Name of Object. Circle Reading. Zenith Point 38. 31'. Apparent Zenith Distance. Baro- mometer.l Refrac- Tabular Horizontal Equatoreal Parallax. Increase of Moon*8 N.P.D. during the Geocentric N.P.D. of U. L. or L. L., and of Tabular Obli- quity of Ecliptic. and Day. Troughton. Jones. T. J. T. J. meter. V I tion. Parallax. Semi- diameter. Center, at Transit of 1 L. or 2 L. 23.27'. 1830. O ' II a II / " " in. o , , I H ii O ' Dec. 22 p Tauri 12-00 24-60 K' Tauri 10-80 23-40 e Tauri 11-90 24-50 Aldebaran. . . 13-15 25-75 23 Moon's L.L. . 89. 7. 6-55 19-28 50.35.56-12 56-05 29-38 28-0 1. 12 65 59. 4-76 45. 27-04 12-80 88. 23. 16-43 88. 7. 7-86 31-95 Arietis .... 11-70 24-50 ,5" Tauri 9-10 21-90 Tauri 10-70 23-50 o 1 Orionis. . . . 10-20 23-00 24 Moon's L.L. . 84. 23. 26-80 40-13 45. 52. 16-37 16-90 29-17 19-0 1. 2-30 59. 40-56 42. 37-47 12-71 83.42. 16-11 83. 25. 57-75 31-96 25 Moon's L.L. . 79.58. 1-00 16-30 41.26.50-17 52-57 29-20 21-5 0. 53-15 60. 9-10 39. 36-01 11-74 79.19.42-18 79. 3. 16-02 31-96 26 Moon's L.L. . 76. 11. 34-42 48-67 37. 40. 22-88 24-13 29-07 23-0 0.46-13 60. 26-47 36. 43-12 9-63 75. 35. 58-08 75.19.27-19 31-96 28 T Bootis 11-70 24-70 ij Bootis 10-70 23-70 Arcturus. . . . 11-85 24-85 f Bootis 11-90 24-90 30 e Arietis .... 11-30 23-50 A 1 Tauri 11-05 23-25 a 3 Tauri 11-20 23-40 Aldebaran . . 11-75 23-95 Moon's L.L. . 73. 7.44-90 57-13 34. 36. 33-57 33-60 29-10 42-0 0. 39-65 59. 1-96 33. 18-72 + 5-43 72.35.21-88 72. 19. 14-06 32-00 31 r Tauri 11-85 23-65 ir 1 Orionis . . . 13-95 25-75 Hydrae .... 13-70 25-50 Moon's L.L. . 75.32. 6-27 15-82 37. 0.53-61 51-36 29-53 32-0 0. 44-89 58. 11-00 34. 48-92 + 7-92 74. 58. 18-31 74. 42. 24-43 32-01 Regulus 11-15 22-95 The Moon's U. L. or L. L. was usually observed when the Center was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. Adopted Co-Latitude 38. 31'. 21" -93. INVESTIGATION OF MOON'S NORTH POLAR DISTANCE. (447) The following Observations of the Moon, which were either excluded from Section II., on account of the discordance of their results, or were omitted by an accident in printing, ought to have been retained. Tabular Correc- Geocentric Geocentric 'a! m la r Year, Month, and Day. Name of Object. Quadrant Reading. Baro- meter. Phermo- meter. Refraction. Horizontal Equatoreal Parallax. tion for Curva- ture of N.P.D. of U.L. or L.L., at Transit N.P.D. of Center at Transit bliquity of Jcliptic. Parallax. Path. of 1 L. or 2 L. of 1 L. or 2 L. 3. 28'. O ' in. o / * / H i a it 1 II O / It ft 1753. Aug. 24 Moon's U. L. 34.11.31-75 30-01 59-75 0. 38 -83 60. 11 -75 33. 36 -31 +0-61 72. 9.55-28 72. 26. 23 -03 8-48 1756. Oct. 16 Moon's U. L. 34. 49. 42 -00 29-55 46-75 0. 40 -20 54. 55 -40 31. 9-86 +0-58 72. 50. 33 -32 73. 5.34-35 7-21 Nov. 10 Moon's L. L. 32. 48. 45 -00 29-98 28-25 0. 39 -29 54. 2-86 29. 5-32 +0-75 70. 61. 40 -12 70. 36. 53 -50 6-83 1757. Jan. 16 Moon's L. L. 71. 2.41-50 29-65 25-75 2. 54 -84 60.41-11 57. 13 -92 -0-65 108.39.42-17 108.23. 6-37 6-82 Jan. 26 Moon's L. L. 44. 30. 28 -25 28 -72 36-75 0. 56 -32 55.54-14 38. 69 -38 +0-27 82. 23. 45 -86 82. 8.28-73 7-02 Feb. 29 Moon's U. L. 32. 12. 39 -50 30-16 42 -75 0. 37 '46 54. 7-29 28. 38 -88 +0-70 70. 15. 59 -18 70. 30. 47 -02 7-76 1759. Jan. 5 Moon's L. L. 63.21. 10-80 29-74 40-25 1.19-10 59. 10 -84 47. 17 -17 0-05 91. 6.39-08 90. 50. 28 -02 10-65 Apr. 3 Moon's L. L. 29.21. 6-50 29-65 51-25 0. 32 -31 57. 12 -42 27. 49 -77 +0-85 67. 25. 10 -29 67. 9.31-70 12 -25 Apr. 20 Moon's U. L. 71.54.54-20 30-08 33-75 3. 3-19 58. 28 -79 55. 25 -96 0-72 109. 33. 51 -11 109. 49. 50 -64 12-13 1762. Jan. 7 Moon's L. L. 27.56. 0-50 29-56 39-75 0.31-10 60. 9-23 27. 57 -52 + 0-91 66. 0. 4-39 65. 43. 37 -33 17-72 Jan. 8 Moon's U. L. 24. 59. 59 -00 29-82 41-75 0. 27 -48 60. 53 -20 25. 30 -33 + 1-02 63. 6. 17 -57 63. 22. 56 -68 17-74 Jan. 10 Moon's U. L. 26. 44. 69 -00 29-36 45-75 0. 29 -00 61.24-89 27. 24 -84 +0-94 64. 49. 24 -60 65. 6.12-30 17-78 Jan. 17 Moon's L. L. 67. 33. 13 -00 29-36 35-75 2. 21 -30 56. 6-53 51. 41 -93 0-64 105. 15. 12 -23 104. 59. 61 -70 17-92 Feb. 1 Moon's L. L. 39. 0.62-00 30-31 37-75 0. 48 -91 56. 57 -35 35. 38 -90 -1-0 -51 76. 57. 22 -92 76. 41. 48 -46 18-25 The Moon's U. L. or L. L. was usually observed when the bright 1 L or 2 L was passing the Meridian. The Geocentric N. P. D. of Limb and of Center, in the Tables above, are those corresponding to the time of passage of the Limb which was observed with the Transit. The N. P. D. is formed by adding to the corrected Quadrant Reading the Adopted Co-Latitude 38. 31'. 20" '40. 1753. Aug. 24. The Observed Zenith Distance has been decreased 3 Verniers. GREENWICH LUNAR REDUCTIONS. 3(N) ROYAL OBSERVATORY, GREENWICH. REDUCTION OBSERVATIONS OF THE MOON, From 1750 to 1830. SECTION III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. GREENWICH LUNAR REDUCTIONS. [B] [2] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. If Change for 0?-1 in Argument. Parallactic Inequality. a o 3 C3 Change for fls-1 in Argument. Annual Equation. Evection. Change for 0?'! in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic] N.P.D. Excess of Ob- 1 served Ecliptic 1 N. P. D. Effect of Mean Inclination. Change for 08-1 in Argument. JBJ 2 ww 1750. d h m ' O f It ' " '' g * V V \ \\ e " \\ g * / '; II " g * ; v " Sep. 13. 9. 58. 3-3 321. 29. 37-51 44-93 52-58 1.24 2.64 2.35 0.16 45 40-6 1.44 53 85. 55. 42-31 39-55 62-76 5.54 0.48 38-1 17. 13. 35. 33-4 23. 55. 14-68 20-20 54-48 7.24 3.18 5.62 1.34 45 41-0 2.48 45 85. 32. 47-45 53-25 54-20 5.13 1.41 38-3 19.15.32. 8-3 54.41.49-13 63-90 45-23 10.61 3.00 6.91 1.51 26 41-2 2.77 37 87. 21. 29-90 25-90 64-00 7.20 1.76 33-5 23.19.19. 1-0 111. 6.33-34 34-98 58-36 14.00 2.06 7.72 0.53 09 41-4 2.65 19 92. 6.56-26 66-31 49-95 12.62 1.82 20-7 24. 20. 8. 13-5 124. 14. 14-29 16-66 57-63 13.89 1.80 7.48 0.26 14 41-5 2.49 15 93. 5.49-68 60-44 49-24 13.75 1.71 17-7 Oct. 10. 7.44.19-6 314. 18. 48-98 55-33 53-65 0.71 2.49 0.79 0.07 20 41-4 0.25 43 86. 7. 19-20 17-19 62-01 5.90 0.41 24-0 12. 9. 27. 15-2 344. 3.59-69 64-00 55-69 2.89 2.94 1.98 0.07 40 41-2 0.68 49 85. 1. 10-53 15-54 54-99 4.60 0.83 30-9 13. 10. 20. 9-6 359.38.25-28 25-20 60-08 4.43 3.09 2.71 0.27 48 41-1 0.94 51 84. 57. 51-08 60-65 50-43 4.51 1.07 34-1 14. 11. 15. 7-1 15. 30. 10-90 9-16 61-74 6.13 3.17 3.52 0.57 53 41-0 1.23 52 85. 17. 29-55 36-71 52-84 4.85 1.31 36-7 15. 12. 15. 6-2 31. 28. 52-47 59-15 53-32 7.90 3.17 4.36 0.90 54 41-0 1.52 53 85. 59. 29-83 17-34 72-49 5.60 1.53 38-8 17. 14. 16. 57-2 62. 49. 37-37 54-90 42-47 11.16 2.94 5.93 1.43 41 40-8 2.08 50 88. 11. 46-96 38-94 68-02 8.05 1.83 40-0 Nov. 4. 3.56.20-3 282. 13. 38-67 45-80 52-87 0.14 1.81 0.56 1.28 15 38-0 0.40 15 88. 14. 29-37 19-67 69-70 8.43 0.14 7-6 5. 4.47. 0-4 295. 22. 58-00 64-71 53-29 0.04 2.06 0.31 1.02 09 37-8 0.22 18 87. 10. 17-57 16-62 60-95 7.23 0.23 8'3 6. 5.36.53-9 308.52. 57-16 66-24 50-92 0.33 2.33 0.22 0.71 07 37-6 0.09 22 86. 13. 50-77 51-82 58-95 6.17 0.36 9-7 7. 6.26.13-7 322. 47. 31-30 37-29 54-01 1.01 2.58 0.31 0.41 10 37-4 0.02 27 85.28.51-76 53-49 58-27 5.32 0.54 11-7 9. 8. 5.49-6 351.59. 9-26 16-78 52-48 3.44 3.00 1.01 0.02 25 37-0 0.04 36 84. 48. 20-33 16-91 63-42 4.50 0.97 17-5 12. 10. 51. 17-7 38. 38. 45-91 44-66 61-25 8.56 3. 15 3.12 0.41 51 36-2 0.50 47 86. 24. 42-09 44-06 58-03 6.17 1.64 28-7 14. 12. 58. 12-2 70. 3.16-24 20-92 55-32 11.67 2.86 4.76 1.06 52 35-7 1.02 52 88. 54. 46-42 42-84 63-58 8.88 1.88 35-2 19. 17. 32. 32-8 141. 3. 2-33 15-99 46-34 13.57 1.62 7.64 1.16 10 34-3 2.39 46 94. 29. 51-72 55-72 56-00 15.06 1.48 39-4 Dec. 2. 2.44.18-5 291.21.34-33 41-34 52-99 0.06 1.90 1.29 1.46 29 30-7 1.35 08 87. 23. 23-14 26-78 56-36 7.45 0.21 11-2 6. 5. 59. 23-3 346. 27. 51-51 46-67 64-84 2.55 2.89 0.25 0.57 08 29-2 0.35 15 84. 43. 59-43 60-92 58-51 4.53 0.91 7-6 8. 7.40.10-7 15.54. 1-35 9-96 51-39 5.70 3.16 0.78 0.08 20 28-6 0.07 23 85. 9.59-68 59-12 60-56 4.97 1. 36 10-0 9. 8.34.46-8 31. 3.26-85 35-48 51-37 7.46 3.18 1.29 0.00 29 28-3 0.01 28 85. 53. 46-17 44-86 61-31 5.76 1.56 12-4 10. 9.32.54-5 46. 24. 21-17 29-14 52-03 9.20 3.12 1.93 0.06 40 28-0 0.01 32 86. 55. 27-98 33-97 54-01 6.87 1.73 15-4 11.10.34. 4-2 61. 49. 18-31 22-43 55-88 10.80 2.98 2.66 0.26 48 27-7 0.07 37 88. 10. 54-93 60-35 54-58 8.23 1.84 18-7 12.11. 36.38-0 12.11.39. 7-1 77. 8.58-98 77. 10. 31-31 65-17 35-77 53-81 55-54 12. 14 12.14 2.78 2.78 3.46 3.46 0.55 0. 56 53 53 27-4 27-4 0. 18 0.18 41 41 89.33.55-15 89. 34. 6-24 54-86 3-15 60-29 63-09 9.73 9.73 1.90 1.90 22-4 22-4 18. 16. 53. 25-9 161. 17. 39-54 49-37 50-17 12.49 1.34 7.51 1.30 14 25-1 1.68 52 95.12. 1-08 9-73 51-35 15.84 I. 16 38-8 21. 18. 59. 9-4 198. 31. 10-99 24-64 46-35 8.63 1. 00 7.64 0.42 10 23-8 2.44 45 94. 43. 46-32 47-76 58-56 15.31 0.59 39-8 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 \ \\ 2.00 % \\ 4.00 6.76 30 20-8 1.42 30 60'-00 10. 21 i. oo 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [3] Greenwich m it r ^ r Ecliptic <*- "o. A-S be * Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observe! Longitude. Jf> 11 53 |T Change for in Argumen Parallactic Inequality Variation. Change for in Argumen Annual Equation. Evection. Change for in Argumen N. P. D. of Moon's Center from Observation. Seconds o Tabular Ecli N.P.D. Excess of Ol served Eclip N.P.D. Effect of Mean Inclination Change for in Argument Evection in E. N.P.D. 17-30. d h m s O t rt rt if * v V \ \\ g v ? x *\ o / // It // g * V \\ < Dec. 22. 19. 42. 29'8 210. 42. 38-15 46-20 51-95 7. 10 0.97 7.34 0.19 17 23-5 2.62 42 94. 7. 7-33 24-09 43-24 14.65 0.43 39-2 1751. Jan. 7. 8. 20. 17'8 55.20.21-98 36-73 45-25 9.83 3.07 1.01 0.02 24 17-8 0.30 16 87. 39. 51-84 5336 58-48 7.77 1.81 7'8 8. 9.20.22-5 70. 13. 57-88 59-07 58-81 11.34 2.91 1.59 0.01 34 17-5 0.14 20 88.57. 9-27 9-45 59-82 9.18 1.89 8-9 9.10.21. 1-8 85. 3. 36-35 41-31 55-04 12.56 2.70 2.28 0. 14 44 17-1 0. 04 25 90. 18. 14-32 14-76 59-56 10.66 1.90 10-7 11. 12. 16. 29-4 114. 8.56-51 67-63 48-88 13.91 2.19 3.88 0.71 54 16-5 0. 02 34 92. 48. 26-01 17-97 68-04 13.40 1.75 16-1 11.12.18.48-8 114.10.17-04 27-47 49-57 13.92 2.18 3.88 0.71 54 16-5 0.02 34 92. 48. 20-17 2407 62-10 13.40 1.75 16-1 17. 16. 53. 53-0 193. 25. 25-05 30-40 54-65 9.55 1.04 7.63 1. 18 11 14-2 1.17 52 94. 48. 32-02 45-58 46-44 15.47 0.64 33-9 18. 17. 36. 50-2 205. 41. 24-68 33-93 50-75 8.06 0.98 7.76 0.89 07 13-9 1.46 53 94. 17. 1 98 11-90 50-08 14.87 0.48 35-9 Feb. 6. 9. 9.55-4 94. 4. 13-10 29-58 43-52 12.94 2.61 1.29 0.00 29 7-8 0.66 11 91.12.30-16 34-01 56-15 11.70 1.87 7-7 7. 10. 5. 56-6 108. 14. 15-17 22-75 52-42 13.66 2.35 1.93 0.06 39 7-6 0.43 14 92.23. 6-92 9-05 57-87 13.01 1.78 7-4 8. 10. 58. 54-2 122. 11. 58-47 67-49 50-98 13.99 2.09 2.66 0.25 48 7-3 0.25 17 93. 23. 58-57 54-66 63-91 14.13 1.65 7-9 9.11.48.37-6 135. 55. 32-07 40-50 51-57 13.93 1.83 3.46 0.54 53 7-1 0.11 21 94.11.42-12 36-00 66-12 15.02 1.49 9-0 10. 12. 37. 36-6 149. 24. 20-42 29-45 50-97 13.49 1.59 4.30 0.87 54 6-8 0. 03 26 94.44. 6-65 11-80 54-85 15.61 1.30 10-5 15. 16. 15. 6-0 212. 49. 32-89 30-48 62-41 7.48 0.97 7.47 1.32 14 5-4 0.46 47 93. 39. 51-62 57-33 54-29 14.31 0.37 23-5 20.20.19. 5-6 274. 59. 36-40 43-62 52-78 0.96 1.47 6.91 0.07 25 4-2 1.82 52 88.36. 8-63 11-26 57-37 8.57 0.14 36-4 Mar. 5. 7. 5. 7'8 89. 44. 42-93 55-20 47-73 12.31 2.75 0.30 0.43 09 1-9 1.96 10 91. 3.26-47 19-41 67-06 11.42 1.88 18-0 8. 9.43.43-7 131. 5.44-07 54-08 49-99 14.01 1.99 1.55 0.01 34 1-4 1.11 09 94. 2. 25-80 21-96 63-84 14. 82 1.53 10-2 15. 14. 55. 13-0 220. 16. 20-79 27-76 53-03 6.90 0.97 6.79 1.51 28 0-7 0.00 31 92. 56. 50-74 54-66 56-08 13.65 0.28 11-3 19. 18. 9. 9-3 269.28. 8-97 2-02 66-95 1.51 1.35 7.74 0.60 08 0-3 0.51 47 88. 48. 45-87 47-35 58-52 8.96 0.12 21-2 20. 18. 59. 48-6 282. 15. 47-24 4403 63-21 0.68 1.55 7.53 0.32 13 0-3 0.76 50 87. 44. 48-00 61-56 46-44 7.75 0.19 24-2 31. 3.58.44-1 70.19. 1-90 6-06 55-84 10.06 3.05 0.81 1.39 20 o-o 2.83 30 89.36. 5-40 6-11 5929 9.62 1.90 36-4 Apr. 1. 4. 58. 51-4 85. 5.24-87 38-67 46-20 11.53 2.88 0.44 1.19 12 o-o 2.80 25 90. 54. 48-33 42-70 65-63 11.10 1.89 339 2. 5. 56. 33-8 99. 27. 29-52 30-81 58-71 12. 71 2.66 0.26 0.91 08 00 2.71 21 92. 7. 54-37 44-60 69-77 12.48 1.83 30-9 3. 6. 50. 49-7 113. 25. 27-74 29-39 58-35 13.53 2.41 0.25 0.59 08 00 2.56 17 93. 11. 6-26 2-83 63-43 13.69 1.71 27-8 6. 9.13.47-2 153. 21. 55-25 61-11 54-14 13.63 1.65 1.25 0.00 28 0-1 1. 88 09 94. 59. 12-90 5-25 67-65 15.80 1.19 18-4 9.11.22. 5-2 191. 18. 25-38 38-99 46-39 10.75 1.12 3.41 0.51 53 0-3 1.05 09 94. 31. 34-32 27-32 67-00 15.38 0.61 11-0 10. 12. 5. 16-8 203.40. 6-02 22-14 43-88 9.35 1.03 4.24 0.84 54 0-4 0.78 10 93. 55. 18-37 12-66 65-71 14.73 0.45 9-4 10. 12. 7. 22-0 203. 41. 10-11 24-44 45-67 9.35 1.03 4.24 0.84 54 0-4 0.78 10 93. 55. 14-65 9-16 65-49 14.73 0.4-i 9-4 11.12.51.46-5 215.57. 0-48 22-49 37-99 7.85 0.98 5.05 1.15 50 0-5 0.54 13 93. 8. 5-04 8-39 50-6-5 13. 87 0.31 8-3 20.20. 9. 4-5 330. 45. 62-28 56-44 65-84 0.47 2.40 6.91 0.07 25 1-4 0.58 48 84. 57. 46-75 33-11 73-64 4.67 0.78 20-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. y/ S v \ \\ \ \\ e \ w ^ K \ u H e \ V V\ 60-00 7.022.00 4.00 0.76 30 20-8 1.42 30 60-00 10. 21 1. 00 28-1 [B] 2 [4] REDUCTION OF GREENWICH LTINAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. (Excess of Observed Longitude. s. s! 3 tr WJ 1 Change for Os- 1 1 in Argument. | Parallactic Inequality. Variation. 1 Change for 08-1 1 | in Argument. Annual Equation. Evection. Change for 0*' 1 I in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of 'Tabular Ecliptic! N.P.D. Excess of Ob- served Ecliptic 1 N.P.D. Effect of Mean Inclination. Change for Os-'-l 1 in Argument. So .2&- 's ? z . KM 1751. " " " ' May 2. 6.26.14-9 o / " 136. 4.23-42 tf 23-99 n 59-43 g * 14.01 \ ^ 2.05 0.23 g * 0.76 \\ 07 3-3 g ' 2.83 u 28 O ' ft 94.39. 8-10 // 8-96 n 59-14 g v 15.24 \ \\ 1.43 36-3 3. 7. 12. 20'0 149. 18. 50-71 45-33 65-38 13.89 1.79 0.29 0.45 09 3-4 2.78 24 95. 4.21-58 13-84 67-74 15.73 1.23 34-1 4. 7. 50. 9-1 162. 13. 28-03 32-10 55-93 13.40 1.56 0.53 0.19 15 3-6 2.67 20 95. 13. 13-28 8-02 65-26 15.93 1.04 31-6 5. 8.38.42-8 174. 52. 45-36 55-55 49-81 12.60 1.36 0.94 0.03 23 3-8 2.52 16 95. 6.40-20 30-21 69-99 15.84 0.84 28-7 12. 13. 59. 38-8 260. 51. 35-28 45-64 49-64 2.91 1.16 6.12 1.46 39 5-4 0.71 11 89. 14. 47-04 52-11 54-93 9.53 0. 11 10-7 14. 15. 38. 26 6 285.51.30-77 35-76 55-01 0.85 1.50 7.25 1.43 19 5-9 0.29 17 87. 6.40-69 36-74 63-95 7. 18 0.24 8-0 16. 17. 14. 40-8 311.46. 2-52 10-25 52-27 0.03 1.97 7.75 0.93 08 6-3 0.04 25 85. 28. 29-03 14-89 74-14 5.36 0.53 7-5 17.18. 2. 1-8 325. 13. 37-89 48-59 49-30 0.18 2.23 7.74 0.62 08 6-8 0.00 29 84. 57. 67-27 51-94 75-33 4.79 0.72 8-1 19. 19. 38. 27-3 353. 27. 12-98 12-15 60-83 1.65 2.74 7.19 0.13 20 7-3 0.10 38 84. 48. 64-15 45-15 79-00 4.58 1.15 11-5 20. 20. 29. 25-6 8.16. 0-79 4-42 56-37 2.92 2.94 6.67 0.05 29 7-5 0.23 42 85. 14. 20-71 4-65 76-06 5.01 1.37 14-1 30. 5. 7.33-8 144. 22. 39 73 48-31 51-42 14.01 1.95 0.46 1.21 13 10-1 2.50 44 95. 1.51-44 45-12 66-32 15.63 1.29 39-8 31. 5.53. 9-8 157.41.18-85 20-08 58-77 13.75 1.70 0.26 0.93 08 10-4 2.67 41 95. 16. 37-24 33-01 64-23 15.91 1.08 40-0 June 1. 6.36.44-9 170. 36. 39-60 43-07 56-53 13.13 1.48 0.24 0.61 08 11-0 2.78 36 95. 14. 44-29 43-53 60-76 15.88 0.88 39-5 4. 8.45.20-5 207. 52. 57-96 64-37 53-59 9.70 1.04 1.21 0.00 28 11-8 2.76 23 93. 44. 14-60 9-95 64-65 14.26 0.36 35-4 6. 10. 16. 29-0 232. 15. 32-75 25-65 67-10 6.69 0.97 2.55 0.22 47 12-4 2.47 15 91.51. 8-83 8-37 60-46 12.21 0.16 30-6 12. 15. 12. 34-4 307. 40. 35-45 32-29 63-16 0.13 1.81 7.02 1.49 24 14-5 0.90 09 85.40. 7-26 0-08 67-18 5.51 0.49 13-7 13. 15. 59. 38-5 320. 55. 38-24 41-26 56-98 0.04 2.07 7.44 1.34 15 14-8 0.65 11 85. 5.33-20 23-14 70-06 4.89 0.67 11-5 14. 16. 46. 20-4 334. 27. 57-80 64-60 53-20 0.34 2.33 7.70 1.09 09 15-1 0.43 14 84. 46. 30-84 13-27 77-57 4.55 0.88 9-6 15. 17. 33. 26-5 348. 19. 42-82 51-91 50-91 1.04 2.59 7.78 0.78 07 15-4 0.24 18 84. 44. 51-03 36-69 74-34 4.53 1.10 8-2 17. 19. 12. 48-8 17. 7.44-21 51-16 53-05 3.47 3.01 7.39 0.22 15 16-4 0.02 26 85. 38. 52-35 3921 73-14 5.53 1.51 7-5 18.20. 7. 1-9 32. 4. 13 58 19-73 53-85 5.09 3.13 6.95 0.08 24 16-7 0.00 30 86.33.51-18 41-32 69-86 6.54 1.69 8-3 28. 4.31.35-5 165. 25. 24-97 21-82 63-15 13.56 1.62 0.66 1.32 17 19-8 1.85 51 95. 14. 47-53 33-78 73-75 15.92 0.94 35-0 July 4. 8.59.38-4 240. 6.35-59 37-04 58-55 6.11 0.98 1.46 0.00 32 221 2.83 31 91. 7.30-19 31-03 59-16 11.32 0.12 39-4 5. 9.48.35-8 252. 24. 36-18 28-30 67-88 4.60 1.03 2. 13 0. 11 42 22-4 2.81 26 90. 0.28-29 30-84 57-45 10.09 0.10 38-3 6. 10. 38. 32-7 264.51.19-32 15-49 6383 3.22 1. 13 2.88 0.33 50 22-7 2.73 22 88. 52. 45-79 49-12 5667 8.85 0.13 36-9 8. 12. 20. 52-3 290.21.56-58 50-15 66-43 1.04 1.45 4.53 0.97 53 23-3 2.42 14 86. 47. 55-37 52-50 62-87 6.58 0.31 32-4 11. 14.44.57-6 330. 19. 50-53 29-48 81-05 0.11 2.17 6.71 1.52 29 246 1.67 08 84.55.48-30 46-97 61-33 4.59 0.84 23-2 17. 19. 53. 32-7 56. 30. 34-24 37-46 56-78 7.51 3.17 7.22 0.14 19 26-8 0.20 19 88. 37. 19-07 11-33 67-74 8.82 1.87 8-0 27. 3.52.56-4 185. 46. 52-42 56-22 56-20 12.47 1.34 C. 87 1.41 21 29-8 1.06 52 94. 39. 47-76 43-91 63-85 15.37 0.61 25-2 Sub. 60 /; 00 Sub. 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. /. 42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. i. oo Sub. 23-7 2. 00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [5] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. o& ll a " Change for OB- 1 I in Argument, Parallactic Inequality. Variation. Change for 08-1 in Argument. 11 = a C 3 if a- W Evection. Change for 0='l 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. Excess of Ob- served Ecliptic N. P. D. Effect of Mean Inclination. | Change for OS- 1 I in Argument. Evection in E. N. P. D. 1751. d h m ' o / // tt it V , * \\ > s " f o / // n tf g " \ \ Aug. 3. 9.21.18-5 272. 29. 27-72 35-35 52-37 2.73 1.18 1.78 0.04 37 32-0 2.73 38 88. 7.59-14 64-88 54-26 7.99 0.17 396 4. 10. 11. 33-2 285. 17. 52-93 53-36 59-57 1.61 1.33 2.49 0.20 46 32-3 2.81 34 87. 7.52-50 49-61 62-89 6.87 0.27 40-0 5.11. 1.20-8 298. 23. 50-33 44-56 65-77 0.75 1.53 3.29 0.47 52 32-5 2.83 29 86. 15. 14-63 22-54 52-09 5.90 0.41 39-8 8. 13. 28. 58-3 339.29.24-14 6-01 78-13 0.23 2.27 5.72 1.37 44 33-3 2.56 17 84.56.66-14 57-09 69-05 4.50 1.00 35-4 11. 15.57.510 22. 32. 39-27 30-60 68-67 3.13 2.97 7.42 1.35 16 34-3 1.88 09 86. 15. 69-95 58-08 71-87 6.05 1.62 26-3 13. 17. 47. 46-4 51.48.10-49 11-87 58-62 6.42 3.17 7.78 0.80 07 34-8 1.31 08 88.25. 2-81 10-17 52-64 8.51 1.86 19-2 14. 18. 4G. 18-5 66. 30. 48-00 45-75 62-25 8. 19 3.16 7.69 0.49 09 35-0 1.03 09 89.41.51-73 51-07 60-66 9.96 1.90 15-9 16.20.45. 6-4 95. 55. 38-68 41-75 (56'93) 11.39 2.90 6.98 0.08 24 35-5 0.52 13 92. 13. 25-53 21-34 (64'19) 12.82 1.80 10-5 26. 4. 0.25-2 218. 8. 2-35 5-86 (56'49) 9.51 1.03 0.69 1.34 17 37-8 0.59 48 92. 33. 31-15 31-45 (59-70) 13.11 0.22 17-2 30. 7. 12. 22-9 267. 11. 6-19 7-35 58-84 3.54 1.10 0.48 0.22 14 38-5 1.71 52 88. 22. 34-42 30-05 64-37 8.35 0.15 28-7 Sep. 2. 9.41. 5-9 305. 54. 29-89 29-78 60-11 0.50 1.61 2.08 0.10 42 39-1 2.46 45 85.45. 5-13 3-37 61-76 5.37 0.52 36-3 3.10.30. 2-0 319. 32. 59"26 5761 61-65 0.10 1.85 2.83 0.32 49 39-3 2.63 41 85. 14. 32-85 32-06 60-79 4.79 0.72 38-1 5.12. 8. 2-4 347.57. 7-66 2-42 6524 0.42 2.37 4.47 0. 95 53 39-6 2.82 33 85. 4.14-86 9-53 65-33 4.58 1.16 39-9 5. 12. 10. 14-9 347. 58. 23-58 19-96 63-62 0.42 2.37 4.47 0.95 53 39-6 2.82 33 85. 4.15-25 10-73 64-52 4.58 1.16 39-9 6.13. 0.28-9 2.37.17-18 12-48 64-70 1.16 2.62 5. '29 1.25 48 39-7 2.83 28 85. 27. 41-99 30-28 71-71 5.02 1.38 39-8 7. 13 52. 24 6 17. 26 62-95 5890 6405 2.28 2.85 6.02 1.45 40 39-8 2.78 24 86. 9. 34-45 23-32 71-13 5.81 1.57 38-9 8.14.46.34-1 32 21.60-24 52-12 68-12 3.70 3.03 6.67 1.52 30 40-0 2.67 20 87. 7.29-78 17-15 72-63 6.90 1.73 37-2 13. 19. 36. 32-1 105. 48. 51-40 46-99 (64-41) 11.89 2.83 7.58 0.35 12 40-6 1.51 08 93. 10. 9-63 3-96 (65-67) 13.77 1.70 21-7 29. 7. 30. 35-0 299.49. 41-49 40-14 61-35 0.93 1.48 0.66 0. 13 17 41-6 1.20 52 85. 51. 14-18 8-78 65-40 5.63 0.46 20-7 Oct. 1. 9. 7. 9-1 326.47 11-04 11-92 59-12 0.04 1.94 1.73 0.03 37 41-6 1.78 52 84. 57. 30-84 28-38 62-46 4.58 0.85 27-3 2. 9.56. 0-4 340.57.50-25 4962 60-63 0.15 2.21 2.44 0.18 46 41-6 2.06 50 84. 55. 38-79 36-77 62-02 4.51 1.07 30-4 3.10.46. 5-0 355.35.28-13 22-70 65-43 0.65 2.47 3.23 0.45 52 41-6 2.30 48 85. 13. 3-21 13-76 49-45 4.81 1.29 33-5 7. 14. 32. 20-3 56. 38. 26-87 30-53 56-34 6.01 3.17 6.36 1.50 35 41-5 2.83 32 89. 16. 37-18 38-96 58-22 9.26 1.89 40-0 10.17.32. 9-4 101.28.25-82 27-79 58-03 11.06 2.95 7.67 1.12 10 41-4 2.63 18 93. 5.27-70 33-74 53-96 13.54 1.73 36-6 11. 18. 27. 18-4 115.48.11-91 13-26 58-65 12. 34 2.74 7.78 0.81 07 41-2 2.45 15 94. 1. 3-30 8-87 54-43 14.59 1.58 34-1 13.20. 7.44-1 143.31.41-06 49-80 51-26 13. 85 2.24 7.42 0.24 15 41-1 1.99 10 95. 3.21-39 37-58 43-81 15.80 1. 19 28-3 14.20.54. 5-8 156. 58. 22-24 30-62 51-62 14.01 1.98 7.02 0.09 23 41-0 1.72 09 95. 8. 44-03 61-93 42-10 15.93 0.*98 25-0 24. 3.47. 0-6 269. 42. 46 07 48-16 57-91 3.87 1.08 0.72 1.35 18 40-0 0.00 31 87. 43. 12-68 15-80 56-88 7.85 0.18 7-4 25. 4. 35. 9-0 282. 0.24-09 23-83 60-26 2.57 1.20 0.38 1.13 11 39-9 0.04 35 86. 45. 59-33 65-87 53-46 6.79 0.28 7-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o'-00 7.02 2. 00 \ v\ 4.00 6.76 30 20-8 1.42 30 6o'-00 10.21 V VV 1.00 23-7 1751. Aug. 16. The Moon's Observed Z. D. has been decreased 2 Verniers. Aug. 26. The Moon's Observed Z. D. has been increased 4 Verniers. Sep. 13. The Moon's Observed Z.D. has been increased 2 Verniers. [6] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. . .e-1 H cr r T l o w c Change for OS'l 1 : in Argument. Parallactic Inequality. Variation. Change for OS '1 1 in Argument. . n |.2 C rt B B '" -0 g J? = c t 0) 5-~ C l g ~H O rt O d = n w N. P. D. O J3 , S^-Q o e .2 s Q of Observation of Moon's Center l-S-3 8 s tf s % s K-2' s 'fl 2 s V 3 tc tc II 15 c 2 S S'S 1 .2 a of Moon's Center l!s 1^ all 2 S o . of from U -H Q w^ o w Sj FT] V i < (SJS f a < "w W g 5 from oS & u *" " *y Q fc< > . Moon's Limb. Observation. O I-H O 1 " 3 6.2 o c 6.s Observation. H 3S o |<: HH 1752. Ohm, O / II // n s g " > s % > n II " g > > Jan. 27. 9.20.20-2 87. 7.34-01 46-02 47-99 8.66 3.14 1.63 0. 02 35 11-2 0.00 30 92. 12. 14-66 15-21 59-45 12.801.80 8-1 27. 9.20.20-2 87. 7.34-20 46-02 48-18 8.66 3. 14 1.63 0.02 35 11-2 0.00 30 92. 12. 6-26 15-21 51-05 12.80 1. 80 8-1 28.10.21.34-0 102. 29. 40-93 6023 40-70 10.31 3. 03 2.33 0.16 45 10-6 0.03 34 93.20. 8-69 5-53 63-16 14.07 1.66 7.4 28. 10.21.34-0 102. 29. 40-74 60-23 40-51 10.31 3.03 2.33 0. 16 45 10-6 0.03 34 93.20. 6-41 5-53 60-88 14. 07 1.66 7-4 29. 11.20.48-1 117.51.42-31 63-97 38-34 11.74 2.85 3.12 0.42 51 10-3 0.11 39 94. 13.24-14 16-08 68-06 15. 05 1.48 7-7 Feb. 1. 14. 2. 15-6 162. 28. 35-84 38-04 57-80 13.98 2.11 5.62 1.33 45 9-5 0.68 49 94. 55. 58-54 55-36 63-18 15.80 0.81 12-9 22. 6.11.32-4 66. 54. 56 17 64-33 51-84 5.80 3. 16 0.26 0.55 08 4-0 0.87 10 90. 44. 26-78 21-17 65-61 11.01 1.89 23-5 23. 7 10.41-5 81.38. 4-84 8-70 56-14 7.57 3.17 0.44 0.27 12 3-8 0.62 12 91.59. 8-88 6-66 62-22 12.43 1.83 19-9 25. 9. 8. 4-2 111.20.40-15 55-55 44-60 10.89 2.97 1.33 0.00 30 34 0.22 18 94. 1. 8-52 2-52 66-00 14.76 1.64 13-3 26. 10. 3. 55-7 126.12. 18-91 32-91 46-00 12.21 2.77 1.98 0.07 40 3-2 0.09 22 94. 39. 25-97 17-66 68-31 15.50 1.34 10-8 27.10.57.11-6 140. 56. 50-30 62-07 48-23 13.20 2.53 2.71 0.27 48 3-0 0.02 26 94. 58. 44-02 35-12 68-90 15.88 1. 12 9-0 28.11.48. 2-0 155. 28. 21-52 30-65 50-87 13.80 2.27 3.52 0.57 53 2-7 0.00 31 94.58.21-50 12-19 69-31 15.89 0.89 7-8 Mar. 1.13.26.47-6 183.34.29-39 29-09 60-30 13.84 1.76 5.17 1.20 49 2-4 0.15 40 94. 3. 53-65 51-45 62-20 14.90 0.48 7-7 2. 14. 13. 50-0 197. 2.31-88 31-67 60-21 13. 30 1.53 5.92 1.42 41 2-2 0.30 44 93. 15. 40-74 40-24 60-50 14.00 0.33 8-7 4. 15. 48. 3-3 222. 52. 42-70 44-07 58-63 11.33 1.18 7.12 1.47 22 1-9 0.74 50 91. 15. 0-74 0-59 60-15 11.74 0.13 12-0 6.17.23.55-1 247. 39. 26-80 23-44 63-36 8.54 0.99 7.73 1.02 08 1-6 1.30 52 89. 4. 9-32 4-30 65-02 9.27 0.11 16-8 7.18. 12. 16-6 259. 51. 58-60 58-83 59-77 7.01 0.97 7.76 0.71 07 1-4 1.59 52 88. 1.52-47 47-42 65-05 8.09 0. 16 19-4 7. 18. 12. 16-6 259.51.58-64 58-83 59-81 7.01 0.97 7.76 0. 71 07 1-4 1.59 52 88. 1.52-99 47-42 05-57 8.09 0. 16 19-4 9. 19. 48. 30-1 284. 24. 53-43 60-64 52-79 4.02 1.07 7.31 0.18 17 1-2 2.14 49 86. 15. 50-71 40-39 70-32 6.07 0.38 25-2 19. 3. 9. 1-4 47. 45. 38-52 45-89 52-63 3.17 2.97 1.01 1.43 24 0-3 2.40 14 89. 16. 42-63 40-65 61-98 9.24 1.89 39-0 23. 7. 2.20-4 106.37.12-77 28-60 44-17 9.94 3.06 0.31 0.41 10 o-i 1.35 08 93. 58. 27-92 28-78 59-14 14.56 1.58 29-2 24. 7.57.37-0 121.10.17-40 36-68 40-72 11.43 2.90 0.60 0.16 16 o-i 1.06 09 94. 39. 33-77 33-16 60-61 15. 35 1.39 25-8 25. 8. 50. 18-9 135. 35. 28-07 45-63 42-44 12. 63 2.68 1.05 0.02 25 o-i 0.80 10 95. 2.44-79 29-12 75-67 15.82 1.18 22-4 27.10.29.11-1 163. 52. 59-52 71-42 48-10 13. 93 2.17 2.33 0. 15 44 o-o 0.34 16 94.51.48-04 40-08 67-96 15.69 0.74 15-9 28. 11.16.33-6 177. 40. 44-87 53-37 51'50 13.99 1.91 3.12 0.40 51 o-o 0.18 19 94.20. 15-50 7-34 68-16 15.14 0.54 13-1 29. 12. 3. 26-6 191. 12. 1-02 5-62 55-40 13.67 1.67 3.94 0.72 54 o-o 0.07 23 93.34.31-01 25-75 65"26 14.32 0.37 10-8 29.12. 5.35-1 191.13. 9-63 14-76 54-87 13.67 1.67 3.94 0.72 54 o-o 0.07 23 93.34.21-48 21-21 60-27 14.31 0.37 10-8 30. 12. 52. 30-7 204. 26. 55-09 60-86 54-23 13.01 1.45 4.76 1.05 52 o-o 0.01 28 92. 37. 58-74 50-55 68-19 13.29 0.24 9-2 31.13.39.51-5 217. 23. 29-70 35-06 54-64 12. 05 1.27 5.56 1.32 46 o-o 0. 01 32 91. 34. 18-58 8-58 70-00 12.12 0.15 8-1 April 2. 15. 16. 6-7 242.31.56-49 61-68 54-81 9.46 1.03 6.87 1.51 27 o-o 0.18 41 89. 19. 18-85 11-72 67-13 9.64 0. 10 7-5 5. 17.40.50-9 279. 17. 22-99 16-41 66-58 4.91 1.02 7.77 0.88 07 o-i 0.81 50 86.22. 7-92 3-23 64-69 6.33 0.34 10-5 Sub. H Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. II Sub. g \ Sub. Sub. \ 60-00 7. 022. 00 4.00 0.76 30 20-8 1.42 30 60-00 10. 21 1. 00 23-7 - [8] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. -J-s "SJS 8*1 M< oJ Excess of Observed Longitude. n Kg Change for 08-1 1 in Argument. Farallactic Inequality. Variation. Change for OS'l I in Argument. Annual Equation. Evection. Change for Os- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P.D. *Jd WB; %-v o-z u > "*- &* Effect of Mean Inclination. Change for OS'l in Argument. *.* .26. fz w 1752. * April 8.20. 0.24-0 O ' " 316. 54. 35-49 * 45-26 a 50-23 f v 1.23 \ \\ 1.41 \ \> 7. 12 a % 0.11 21 ^ 0-3 ' 1.67 52 O ' n 84. 51. 14-87 II 2-99 II 71-88 t - 4.57 0.85 17-2 9. 20. 46. 24-4 330. 2. 40-06 55-52 44-54 0.49 1.62 6.. 58 0.05 31 0-4 1.95 51 84. 49. 24-74 12-66 72-08 4.51 1.06 20-4 10.21.33. 4-2 343.35. 6-94 10-69 56-25 0.09 1.85 5.92 0.14 41 0-5 2.21 49 85. 4.30-59 20-71 69-88 4.75 1.27 23-5 18. 3.58. 4-0 87. 8.30-74 36-15 54-59 7.16 3.18 0.78 1.38 19 1-2 2.69 20 92. 49. 41-76 24-49 77-27 13.18 1.77 40-0 20. 5. 53. 51-9 116. 49. 33-69 40-19 53-50 10.54 3.01 0.25 0.88 08 1-4 2.33 13 94. 38. 55-07 49-12 65-95 15.22 1.43 38-7 21. 6.47.16-4 131. 16. 54-77 66-06 48-71 11.93 2. 82 0.25 0.56 08 1-5 2.10 11 95. 6.42-03 35-39 66-64 15.75 1.22 36-9 22. 7.37.47-3 145. 27. 32-62 48-37 44-25 12.99 2.59 0.42 0.28 12 1-7 1.83 09 95.15. 6-80 1-15 65-65 15.93 1.00 34-5 23. 8.26. 2-9 159. 21. 40-75 5696 43-79 13.69 2.34 0.78 0.08 20 1-9 1.55 08 95. 4.50-99 41-86 69-13 15.77 0.79 31-8 26.10.45. 8-8 199. 31. 11-61 25-26 46-35 13.46 1.58 2.66 0.26 48 2-3 0.73 11 93. 1.15-52 1-13 74-39 13.58 0.27 22-7 28. 12. 21. 24-2 225. 9.52-24 68-11 44-13 11.62 1.21 4.30 0.88 54 2-6 0.30 16 90. 50. 62-61 53-73 68-88 11.24 0.11 16-8 30. 13. 58. 9-4 250. 4. 14-85 29-93 44-92 8.90 1.01 5.87 1.41 42 3-1 0.05 24 88. 34. 18-47 13-94 64-53 8.75 0.13 12-0 May 5. 17. 53. 28'1 311. 34. 28-22 30-99 57-23 1.84 1.29 7.77 0.73 07 4-0 0.40 46 84. 50. 35-49 29-10 66-39 4.65 0.79 7-6 6. 18. 38. 26-3 324. 18 23-16 32-35 50-81 0.91 1.48 7.64 0.43 10 4-2 0.62 49 84. 42. 35-16 30-36 64-80 4.50 0.99 8-2 7. 19. 23. 39-3 337. 22. 36 97 46-00 50-97 0.30 1.70 7.34 0.19 17 4-6 0.88 51 84. 50. 33-53 29-23 64-30 4.63 1.19 9-4 17. 3.45.47-9 111. 26. 45-26 54-87 50-39 9.56 3.09 1.01 1.44 24 6-8 2.83 32 94. 26. 44-84 38-05 66-79 15.02 1.49 36-9 18. 4.42. 0-5 126. 25. 26-86 29-12 (57-74) 11.11 2.94 0.57 1.29 15 7-0 2.82 27 95. 2.20-40 9-26 (71-14) 15.66 1.27 38-7 19. 5.34.34-4 140. 59. 34-61 40-79 53-82 12.37 2.74 0.31 1.04 09 7-3 2.76 23 95. 17. 17-76 4-54 73-22 15.92 1.05 39-7 22. 7.57.27-9 182.18. 7-96 10-15 57-81 14.01 1.97 0.57 0.17 15 8-0 2.27 12 94.10.71-22 59-68 71-54 14.72 0.45 38-6 23. 8.43. 7-0 195. 23. 51-74 57-70 54-04 13.78 1.72 1.01 0.02 24 8-5 2.03 10 93. 20. 31-59 22-63 68-96 13.80 0.30 37-0 24. 9.29. 2-5 208. 14. 33-24 40-60 52-64 13.20 1.50 1.59 0.01 34 8-8 1.76 09 92. 20. 42-13 32-75 69-38 12.70 0.19 35-0 25.10.15.41-2 220. 53. 11-74 18-81 52-93 12.31 1.31 2.28 0.14 44 9-1 1.48 08 91. 14. 52-07 43-97 68-10 11.51 0. 12 32-7 27. 11. 51. 25-3 27. 11. 53. 36-2 245. 44. 14-93 245. 45. 25-89 32-89 37-86 42-04 48-03 9.81 9.80 1.05 1.05 3.88 3.88 0.70 0.70 54 54 9-6 9-6 0.92 0.92 09 09 88.58. 4-26 88. 57. 57-35 1-06 55"23 63-20 62-12 9.03 9.03 0. 12 0. 12 27-3 27-3 29. 13. 30. 25-1 270. 16. 12-97 23-53 49-44 6.79 0.97 5.51 1.30 46 10-1 0.44 14 86. 54. 37-51 37-56 59-95 6.80 0.28 21-7 June 1.15.49.41-2 307. 4. 0-45 2-99 57-46 2.54 1.20 7.31 1.41 18 11-3 0.03 25 84. 58. 27-25 29-56 57-69 4.73 0.75 13-7 3. 17. 18. 19-7 332. 14. 40-88 46-82 54-06 0.65 1.56 7.76 0.90 07 11-8 0.03 35 84. 47. 27-95 24-74 63-21 4.56 1.14 9-T 15. 3.25.52-4 135. 6.29-22 36-66 52-56 11.62 2.87 1.33 1.46 31 15-7 2.54 44 95. 9.26-26 14-70 71-56 15.88 1.12 29-C 16. 4. 18. 20-1 149. 53. 56-04 59-17 56-87 12.77 2.65 0.81 1.38 19 16-0 2.69 40 95. 11. 27-71 26-28 61-43 15.89 0.89 32-S 17. 5. 7.47-2 164. 10. 29-18 34-74 54-44 13.56 2.40 0.44 1.18 12 16-4 2.79 36 94. 53. 51-56 59-89 51-67 15.54 0.67 35-( Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sut 60-00 7.02 2. 00 4\ 00 0. 76 30 20-8 1.42 30 60-00 i&ri i. oo 23- ' 1752. May 18. The Moon's Observed Z.D. has been decreased 4 Verniers. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 1 Seconds of Tjbular 1 Longitude. Excess of Observed Longitude. if ~ Change for 0? 1 1 in Argument. Parallactic Inequality. Variation. Change for 0"'l 1 in Argument. Annual Equation. Evection. Change for 0- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. iji O o. . -'uQ O fa] . w Effect of Mean Inclination. ChangeforOe-1 in Argument. w w 1752. June 18. 5. 55. 10'6 o / " 177. 57. 27-99 tr 27-37 60-62 13.96 g v O. 90 08 16-7 a " 2.83 31 o / " 94. 19. 54-84 n 55-52 it 59-32 14.89 0.48 37-2 2.14 0.26 19. 6.41.26-6 191. 17. 49-45 51-33 58-12 13.97 1.88 0.25 0.58 08 17-0 2. 81 26 93. 32. 42-78 37-73 65-05 13.99 0.32 38-7 22. 9. 0.42-1 229. 25. 51-11 49-36 61-75 11.90 1.25 1.25 0.00 29 17-9 2.43 15. 90. 25. 18-13 1499 63-14 10.52 0.10 39-8 23. 9.48.26-4 241. 45. 63-06 59-61 63-45 10.67 1.11 1.88 0.05 39 18-6 2.21 12 89. 18. 5-52 6-92 58-60 9.28 0.11 39-1 25.11.25. 1-0 266. 14. 33-18 32-51 60-67 7.75 0.98 3.41 0.53 53 19-2 1.69 08 87. 14. 11-38 10-64 60-74 7.02 0.25 364 29. 14. 32. 31-8 315.29. 8-33 11-77 56-56 2. 10 1.26 6.49 1.51 33 20-5 0. 61 12 84. 54. 51-69 50-37 61-32 4.53 0.90 265 July 2. 16. 44. 52'7 353. 47. 52-95 54-91 58-04 0.07 1.89 7.71 1.06 09 21-8 0.09 22 85. 34. 22-93 23-60 59-33 5.35 1.47 17-5 5. 19. 10. 51-2 34. 55. 43-73 52-18 (51-55) 1.31 2.66 7.37 0.20 16 227 0.05 36 88. 23. 12-87 16-67 (56-20) 8.55 1.86 10-1 20. 7.45.22-8 237. 43. 44-09 38-72 65-37 11.45 1. 19 0.55 0. 18 15 27-7 2.83 30 89. 31. 12-10 13-05 5905 9.54 0.11 36-3 22. 9.21.41-2 262. 12. 63-46 51 31 72-15 8.69 1.00 1.55 0.01 34 28-3 2.71 21 87. 27. 55-30 58-16 57-14 7.24 0.23 39-0 23. 10. 9. 41-9 274. 25. 42-67 26-97 75-70 7.16 0.97 2.23 0. 13 43 28-6 2.57 17 86. 35. 47-52 53-31 54-21 6.27 0.35 39-8 26. 12. 31. 1-7 311. 30. 31-67 17-81 7386 2.83 1.17 4.65 1.01 53 29-8 1.89 09 85. 3.16-72 24-08 52-64 4.57 0.86 38-9 27. 13. 15. 35-9 324. 5. 60-32 53-97 6635 1.69 1.32 5.45 1.29 47 30-1 1.62 08 84. 59. 10-55 12-58 57-97 4.51 1.06 375 28. 13. 59. 44-8 336. 50. 58-34 49-51 63-83 0.81 1.51 6.17 1.47 38 30-3 1.34 08 85. 9. 50-42 52-19 58-23 4.72 1.25 35-8 29. 14. 44. 2-8 349. 46. 44-24 31-98 7226 0.24 1.74 6.79 1.51 28 30-6 1.05 09 85. 35. 22-96 27-24 55-72 5.22 1.44 33-5 Aug. 4. 19. 52. 44-4 73. 17. 43-05 45 57 57-48 4.56 3.10 7.16 0. 12 20 32-5 0.01 28 91. 56. 19-25 16-88 62-37 12.47 1.83 14-6 16. 5. 40. 13-9 233. 7.39-36 37-62 61-74 12.16 1.29 0.26 0.92 08 35-7 2.23 48 89. 40. 54-69 56-19 58-50 9.86 0.10 21-2 19. 8. 5. 4-9 270. 4. 26-14 21-66 64-48 8.12 0.98 0.72 0.10 19 364 2.75 38 86. 42. 52-30 55-56 56-74 6.48 0.32 29-7 23. 11. 10. 37 6 319. 42. 16-98 2-49 74-49 2.37 1. 22 3.35 0.51 53 37-2 2.68 20 84. 59. 14-71 27-56 47-15 4.50 1.01 38-2 25. 12. 42. 19 8 34.3. 33. 23-07 7-79 75"28 0.56 1.59 5.00 1.15 50 37-8 2.33 13 85. 32. 3-09 571 57-38 5.09 1.40 39-9 28. 15. 3. 18-5 25. 51. 37-09 32-33 64-76 0.37 2. 35 7.02 1.49 24 38-3 1.55 08 88. 5. 40 62 43-64 56-98 7.97 1.83 38-0 30. 16. 48. 36-8 53. 51. 56-86 60-39 56-47 2.17 2.83 7.70 1.08 09 38-7 0.98 09 90.31.39-98 38-38 61-60 10.72 1.90 33-5 31. 17. 45. 15-6 68. 15. 25-52 26-72 58-80 3.57 3.02 7.78 0.77 07 38-8 0.72 11 91. 45. 57-51 62-49 55-02 : 12. 13 1.85 30-6 Sep. 1.18.43.45-6 82. 54. 47-88 47-07 60-81 5.21 3. 14 7.67 0.46 10 39 1 0.48 13 92. 54. 49-69 51-28 58-41 J13. 43 1.74 27-3 2. 19. 42. 54-6 97. 48. 32-59 36-33 56"26 6.96 3. 18 7.39 0. 2*1 16 393 0.29 17 93. 52. 58-68 67-17 6151 14.54 1.59 23-7 12. 3. 32. 0-0 227. 43. 34-63 39-17 55-46 12. 77 1.40 1.09 1.45 25 40-5 0.90 51 89.55.24-10 25-25 58-85 10.26 0. 10 8-6 16. 6.46.23-7 277.31. 8-23 3-82 64-41 7.54 0.97 0.29 0.46 09 41-0 2.04 50 86. 1.60-24 53-90 66-34 5.86 0.42 16-3 17. 7.33.22-1 289. 46. 32-58 36-04 5594 6.01 0.98 0.53 0.20 14 41-1 2.29 48 85. 26. 1-51 1-83 59-68 5.17 0.58 18-9 19. 9. 4. 52-5 314. 39. 58-76 53-26 65-50 3. 14 1. 14 1.50 0.01 33 41-2 2.66 41 84.53. 2-31 200 60-31 4.50 0.95 24-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o'-00 7". 02 2. 00 4.00 0. 76 30 208 1.42 30 60^00 10.2i . > 1.00 23-7 1752. July 5. The Moon's Observed Z. D. has been decreased 2 Verniers. GBEENWICH LUNAR REDUCTIONS. [10] REDUCTION OF GREENWICH LTJNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. *& 1-1 3 F Change for 0"-! 1 in Argument. Parallactic Inequality. Variation. Change for fls-ll in Argument. Annual Equation. Evection. Change for Os-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. k'=- O a. si?. llj Q P #M 3! Effect of Mean Inclination. Change for OS- 1 in Argument. |o .2 OH |z Silt 33-5 1752. d " m ' Sep. 22.11.20.45-6 O f ft 353. 44. 15-58 ft 0-66 it 74-92 s % 0.35 \ \\ 1.68 3.76 e v 0.65 \\ 54 41-4 g v 2.82 \\ 27 o / " 85. 55. 38-52 it 40-85 a 57-67 g > 5.59 1.53 24.12.59. 2-0 21. 9.32-17 29-64 62-53 0. 12 2.18 5.40 1.27 48 41-5 2.64 19 87. 49. 70-26 52-80 77-46 7.67 1.81 37-7 2ft. 13. 50. 28-5 35. 13. 27-31 23-70 63-55 0.60 2.45 6.12 1.46 39 41-5 2.48 15 89. 2. 8-83 11-32 57-51 9. OC 1.88 39-2 27. 15. 40. 55-3 63. 55. 47-77 36-91 70-86 2.68 2.91 7.25 1.43 19 41-6 2.02 10 91. 36. 7-76 11-90 55-86 11. 8S 1.86 39-9 29. 17. 37. 14-6 29. 17. 37. 14-6 93. 10. 62-53 93. 10. 62-47 50-22 50-22 72-31 72-25 5.87 5.87 3.16 3.16 7.75 7.75 0.93 0.93 08 08 41-6 41-6 1.46 1.46 08 08 93. 48. 37-72 93. 48. 35-21 44-42 44-42 53-30 50-79 14.33 14.33 1.62 1.62 37-6 37-6 30. 18. 34. 48-1 107. 55. 36-21 3672 59-49 7.64 3.17 7.74 0.61 08 41-6 1.18 08 94. 34. 46-83 57-69 49-14 15.21 1.44 35-4 Oct. 12. 3. 50. 32-4 260. 7.49-08 41-19 67-89 9.96 1.06 0.87 1.40 21 41-2 0.47 47 87. 0.71-05 58-30 72-66 7.05 0.25 7-6 13. 4.38.55-6 272. 27. 46-33 38-26 68-07 8.49 0.99 0.48 1.21 13 41-1 0.71 50 86. 9.37-99 43-31 54-68 6.10 0.38 7-5 16. 6.57.40-4 309. 18. 55-72 52-27 63-45 3.98 1.07 0.37 0.33 11 40-9 1.55 52 84. 46. 50-94 44-50 66-44 4.54 0.89 10-2 17. 7.42.18-4 321. 50. 38-98 42-11 56-87 2.67 1.18 0.69 0.11 18 40-7 1.84 52 84. 46. 49-82 46-44 63-3S 4.52 1.09 12-0 18. 8.26.54-0 334.38. 3-76 1-70 62-06 1.56 1.34 1.17 0.00 27 40-6 2. 10 50 85. 2. 10-55 9-78 60-77 4.79 1.28 14-3 20. 9.58.37-8 1. 12. 58-58 53-29 65-29 0.19 1.77 2.49 0.21 46 40-4 2.54 44 86. 19. 43-29 47-79 55-50 6. 17 1.64 20-2 21.10.47.13-9 15. 3.48-05 48-30 59-75 0.03 2.02 3.29 0.48 52 40-3 2.69 40 87.20. 9-52 21-55 47-97 7.26 1.77 23-5 23.12.35. 11-8 43. 49. 28-10 33-00 55-10 0.88 2.55 4.94 1.13 51 40-0 2.83 31 89. 51. 34-05 38-15 55-90 10.00 1.90 30-2 24. 13. 32. 25-0 58.36. 0-15 0-80 59-35 1.89 2.78 5.72 1.38 44 39-9 2.81 26 91. 12. 45-62 48-07 57-55 11.47 1.88 33-3 25. 14. 31. 35-6 73. 31. 39-92 42-98 56-94 3.22 2.98 6.40 1.50 34 39-6 2.73 22 92. 29. 52-08 54-59 57-49 12.88 1.80 36-1 27. 16. 30. 7-9 103. 27. 32-77 34-43 58-34 6.55 3.18 7.44 1.34 15 39-4 2.42 14 94. 29. 15-33 18-98 56-35 15.05 1.48 39-4 28. 17. 26. 50-2 118. 17. 50-18 44-14 66-04 8.32 3.16 7.70 1.09 09 39"2 2.20 12 95. 3. 11-47 9-87 61-60 15.67 1.27 40-C 29. 18.20.57-1 132.58. 7-84 3-76 64-08 9.99 3.06 7.78 0.78 07 39-1 1.95 10 95. 16. 50-36 49-69 60-67 15.93 1.04 39-8 30. 19. 12. 36-8 147. 26. 26-34 34-49 51-85 11.47 2.89 7.67 0.47 09 38-9 1.67 08 95. 10. 2-06 8-85 53-21 15. 81 0.81 38-E 31.20. 2.23-2 161.42. 9-16 9-37 59-79 12.66 2.68 7.39 0.22 15 38-7 1.39 08 94. 44. 17-22 22-19 55-03 15.35 0.60 37'C Nov. 13. 5. 35. 36-1 316. 30. 53-17 48-84 64-33 3.46 1.11 0.23 0.80 07 36-0 0.53 48 84. 42. 55-36 49-40 65-96 4. 50 1.03 8-( 14. 6. 19. 20-9 328. 58. 37-31 36-39 60-92 2.22 1.24 0.28 0.48 09 35-7 0.77 50 ' 84. 51. 44-45 41-22 63-23 4.67 1.22 7'i 15. 7. 3.16-2 341. 41. 33-63 30-17 63-46 1.21 1.41 0.51 0.22 14 35-5 1.04 52 85. 15. 36-63 38-29 58-34 5.11 1.41 7-,' 16. 7.48.10-0 354. 44. 42-35 38-08 64-27 0.48 1.62 0.90 0.05 22 35-3 1.33 53 85. 64. 36-83 41-62 55-21 5.83 1.58 8-;f 19. 10. 17. 19-5 36.32. 8-36 637 61-99 0.44 2.38 2.88 0.32 50 34-3 2.17 49 89. 11. 11-24 13-41 57-83 9.42 1.89 13"! 20.11.13.55-1 51. 23. 8-66 8-90 59-76 1.21 2.64 3.70 0.63 54 34-0 2.40 46 90. 33. 14-71 13-15 61-56 10.91 1.89 16-f 21.12.16. 9-4 66. 37. 30-84 30-36 60-48 2.36 2.86 4.53 0.97 53 338 2.59 43 91. 54. 60-31 53-04 67-27 12. 38 1.83 20-! Sub. 60'-00 Sub. B \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. f V 1.42 Sub. 30 Sub. eo'-oo Sub. 10.21 Sub. Lob Sul 23-' 2.00 4.00 | SKCT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [11] Greenwich -O . * " & . S ** Ecliptic **- K. -O'S "I* Mean Solar Time of Longitude of S--S' 1=3 o 8 9 s*S || i< 3.5 fss w 175'-* d h in B O / II n s v v \ \\ g * g ' O 1 If > V V, > Nov. 25. 16. 15. 57-7 128. 8.49-81 52-07 57-74 8.97 3.13 7.22 1.44 19 32-4 2.80 25 95. 13. 7-50 5-49 62-01 15.90 1.09 34-3 26.17. 9.31-0 142. 58. 52-55 61-03 51-52 10.59 3,00 7.58 1.23 12 32-1 2.70 21 95. 12. 37-62 36-68 60-94 15.87 0.86 36-9 29. 19. 36. 52-7 185.17.41-85 35-51 66-34 13. 70 2.33 7.58 0.34 12 31-3 2.13 11 93. 22. 46-24 44-39 61-85 13.80 0.30 40-0 30. 20. 24. 16-5 198.44.26-17 22-21 63-96 14.00 2.07 7.22 0. 14 19 31-0 1.87 09 92. 20. 60-45 57-56 62-89 12.65 0.19 39-7 Dec. 12. 4. 57. 53'5 336.31.16-95 11-78 65-17 1.81 1.30 0.28 0.96 08 27-0 0.07 37 85. 10. 60-81 57-41 63-40 4.96 1.35 14-1 13. 5.41.12-1 349. 7. 52-98 47-76 65-22 0.90 1.49 0.23 0.65 07 26-7 0.19 41 85. 43. 15-92 9-07 66-85 5.57 1.53 12-0 14. 6.25.41-0 2. 2. 49-03 40-44 68-59 0.29 1.71 0.35 0.35 11 26-4 0.37 45 86. 28. 61-49 59-51 61-98 6.44 1.68 10-0 16. 8. 1.56-0 29. 8.59-51 54-07 65-44 0.16 2.22 1.13 0.01 27 25-8 0.84 51 88. 36. 35-17 36-11 59-06 8.83 1.87 7-7 17. 8.55.22-8 43.28.41-86 41-87 59-99 0.69 2.48 1.73 0.03 37 25-4 1.11 52 89. 53. 22-52 27-15 55-37 10.26 1.90 7-4 19. 10. 53. 53-4 73.44. 0-37 0-98 59-39 2.86 2.93 3.23 0.47 52 24-4 1.70 52 92. 30. 33-68 36-07 57-61 13.15 1.77 9-4 20.11.56.49-0 89.28.15-11 20-12 54-99 4.39 3.09 4.12 0.79 54 24-1 1.98 51 93.38. 5-83 2-28 63-55 14.38 1.62 11-7 20. 11. 59. 17-2 89.29.47-11 53-89 53-22 4.40 3.09 4.12 0.79 54 24-1 1.98 51 93.38. 7-01 8-27 58-74 14.38 1.62 11-7 21.13. 2. 0-9 105.24.17-57 18-79 58-78 6.12 3.17 4.94 1.12 51 23-8 2.24 48 94. 29. 23-06 20-73 62-33 15.28 1.41 14-6 22. 14. 2. 36-9 121. 15.37-82 25-98 71-84 7.89 3.17 5.72 1.37 44 23-5 2.46 45 94.59.41-81 40-44 61-37 15.82 1.18 18-0 23. 14. 59. 58-6 136. 50. 56-2:5 57-06 59-17 9.60 3.09 6.40 1.50 35 23-1 2.64 42 95. 7.15-40 10-90 64-50 15.92 0.93 21-7 26.17.34.27-0 180. 54. 23-90 33-76 50-20 13.32 2.49 7.69 1.11 09 21-8 2.83 28 93. 30. 38-92 33-31 65-61 14.02 0.33 32-0 27. 18. 2-2.32-9 194. 37. 36-55 36-51 60-04 13.86 2.23 7.78 0.80 07 21-5 2.78 24 92. 31. 17-92 12-16 65-76 12.90 0.20 34-7 1753. Jan. 17. 10. 36. 26-0 96. 30. 55-43 71-44 43-99 5.02 3. 13 2.83 0.31 49 14-2 0.91 51 94. 5. 5-24 4-28 60-96 14.91 1.51 7-6 23. 16. 16. 23-8 189. 16. 24-72 33-54 51-18 13.57 2.39 7.22 1.44 20 12-1 2.51 44 92. 40. 16-42 15-35 61-07 13. 23 0.24 18-9 26. 18.43.30-0 229. 32. 41-56 38-11 63-45 13.58 1.63 7.75 0.65 08 10-9 2.83 32 89.16. 7-31 0-50 66-81 9.35 0.11 28-3 Feb. 9. 4. 38. 16'6 32. 8.51-37 63-27 48-10 0.10 2.15 0.29 0.98 09 7-1 0.24 18 89.22.21-01 21-07 59-94 9.41 1.89 31-3 11. 6.22.22-4 59. 37. 32-08 26-37 65-71 1.34 2.67 0.34 0.37 10 6-3 0.02 26 91.45.48-45 37-99 70-46 12.13 1.85 25-0 15.10. 18.30-9 119.52.29-33 47-38 41-95 7.44 3.18 2.44 0. 18 46 5-4 0.28 44 94.58. 1-89 1-53 60-36 15.85 1.15 11-8 15. 10. 18. 30-9 119.52.28-85 47-38 41-47 7.44 3.18 2.44 0. 18 46 5-4 0.28 44 94. 57. 59-59 61-53 58-06 15.85 1.15 11-8 16.11.17. 5-5 135.40.37-05 48-66 48-39 9.18 3.12 3.23 0.45 52 5-2 0.48 47 94. 59. 38-22 31-37 66-85 15.90 0.91 9-4 21. 15. 45. 50-2 210. 44. 38-58 45-07 53-51 14.01 2. 03 6.95 1.50 25 4-0 1.86 51 90. 39. 24-99 24-26 60-73 11.09 0.11 10-4 25. 19. 4. 59-5 262.41.41-71 40-66 61-05 11.41 1. 19 7.70 0.51 09 3-2 2.71 39 86. 25. 20-30 28-55 51-75 6.28 0.35 20-7 Mar. 8. 2.36.33-1 28. 7.40-10 52-74 47-36 0.03 1.99 1.21 1.46 27 1-4 1.38 08 89. 13. 2-16 0-71 61-45 9. 16 1.89 40-0 9. 3.26. 5-8 41.33. 11-36 22-30 49-06 0. 21 2.26 0.72 1.35 18 1-3 1.10 09 90. 25. 13-35 15-48 57-87 10.49 1.90 39-4 10. 4. 18. 13-6 55. 14. 52-22 62-40 49-82 0.79 2.52 0.38 1.13 11 1-2 0.83 10 91. 37. 36'65 38-18 58-47 11.85 1.86 38-3 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. II K \ \ v< V V\ f V w \ K \ u tff g v 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 [C]2 [12] EEDI/CTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. IN " - a. ;1| Change for fls- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os- 1 1 in Argument. a g 2 1 < Evection. Change for OS- 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. J.-H 2o *sS Hz X ^ W Effect of Mean Inclination. Change for Os-1 1 in Argument. B .SB. fz K y 1753. ">'" Mar. 12. 6. 9.31-2 o ' /' 83.34. 6-53 // 15-16 ff 51-37 e ~- 3.05 e ' 0.52 08 1-0 s v 0.37 15 o / " 93. 45. 29-81 // 24-54 ff 65-27 s " 14.26 1.63 V 34-1 2.96 0.26 13. 7. 7. 17-8 98. 13. 26-58 35-45 51-13 4.61 3.10 0.46 0.24 13 0-9 0.20 19 94. 31. 44-99 43-06 61-93 15.16 1.45 31-1 15. 9. 2. 12-6 128. 22. 48-53 67-74 40-79 8.11 3.16 1.37 0.00 31 0-6 0.01 27 95. 9. 21-16 11-65 69-51 15.93 1.00 24-0 18. 11.45.33-7 174. 14. 10-38 14-09 56-29 12.54 2.70 3.58 0.60 53 0-4 0.17 41 93. 28. 52-72 43-15 69-57 14. 19 0.35 13-5 19. 12. 40. 15'6 189. 10. 19-22 16-08 63-14 13.42 2.46 4.42 0.93 53 0-3 0.33 4.5 92. 22. 29-32 26-25 63-07 12. 99 0.21 11-0 21.14.24. 5-5 217.48.31-55 31-00 60-55 14.00 1.93 6.02 1.44 40 0-2 0.70 50 89. 52. 2-00 2-07 59-93 10.24 0.10 7-9 24.16.57. 11-8 257. 34. 10-40 21-49 48-91 12.13 1.28 7.56 1.26 13 o-i 1.65 52 86. 33. 57-95 38-40 79-55 6.56 0.31 8-4 26. 18. 34. 20-5 282. 32. 15-49 18-19 57-30 9.57 1.04 7.75 0.67 08 0-0 2. 19 49 85. 13. 43-02 3-2-31 70-71 5.04 0.62 11-3 Apr. 11. 6.55. 17-0 123. 10. '28-09 48-34 39-75 7.02 3. 18 0.34 0.38 10 0-5 0.75 11 95. 15. 48-31 39-51 68-80 15. 92 1.06 37-9 15. 10. 26. 13-0 182. 23. 51-64 59-40 52-24 12.91 2.61 2.38 0.17 45 0-9 0. 05 24 92. 55. 27 75 18-07 69-68 13.45 0.26 26-5 17.12. 9. 5-5 17.12.11. 19-8 211. 5.57-86 211. 7. 12-27 62-38 18-36 55-48 53-91 13.99 13. 99 2.09 2.09 4.00 4.0(i 0.76 0.76 54 54 1-1 1-1 0.01 0.01 33 33 90. 26. 70-96 90. 26. 49-02 50-89 49-92 74-07 59-10 10. 77 10.76 0. 10 0. 10 19-7 19-7 19.13.55. 8-4 238. 34. 56-06 62-13 53-93 13.51 1.60 5.62 1.34 45 1-3 0.21 42 87. 57. 58-69 54-78 63-91 8.06 0.17 13-7 21. 15.37. 18-3 264.42. 11-62 10-72 60-90 11.70 1.22 6.91 1.50 26 1-6 0.61 49 86. 1. 26-78 29-63 57-15 5.94 0.40 9-6 22. 16. 26. 29-6 277. 19. 64-72 59-62 65-10 10.43 1.10 7.37 1.38 17 1-7 0.86 51 85. 21. 36-09 36-02 60-07 5.21 0.57 8-4 23. 17. 13. 59-9 289. 45. 30-77 31-06 59-71 9.01 1.01 7.65 1. 14 10 1-9 1. 14 52 84. 55. 32-42 29-15 63-27 4.73 0.75 7-6 26. 19. 27. 52-9 326. 36. 43-41 59-16 44-25 4.48 1.04 7.47 0.26 14 2-3 2. 00 51 85. 3. 8-75 6-35 62-40 4.85 1.31 8-6 May 6. 2. 56. 14-0 89. 0. 6-02 10-02 56-00 2.72 2. 92 1.25 1.46 28 4-0 2.50 16 94. 12. 70-78 54-2'2 76-50 14.81 1.53 33-1 7. 3.54.28-6 103. 51. 55-37 47-37 68-00 4.23 3.07 0.75 1.30 18 4-4 2.30 13 94. 53. 21-04 6-72 74-3-2 15.53 1.33 35-8 9. 5. 46. 14-8 133. 34. 2-86 10-63 52-23 7.69 3.17 0.25 0.85 08 4-8 1.79 09 95. 13.31-94 26-39 65-55 15.88 0.87 39-3 10. 6. 39. 7-7 148. 17. 4-91 18-28 46-63 9.42 3. 10 0.26 0.53 08 5-0 1.50 08 94. 52. 41-28 34-70 66-58 15.49 0.65 39-9 11. 7.30.23-4 12. 8.20.40-0 162. 51. 21-07 177. 15. 27-85 42-56 52-08 38-51 35-77 10.97 12.27 2.96 2.76 0.44 0.81 0. 25 0.06 13 21 5-2 5-4 1.22 0.94 08 09 94. 13. 4-63 93. 17. 67-82 2-38 56-28 62-25 71-54 14.76 13.75 0.45 0. 29 39-8 38-9 14.10. 0.50-8 205. 28. 58-87 79-49 39-38 13. 82 2.26 2.03 0.08 40 5-9 0.46 14 90. 57. 54-11 42-82 71-29 11.18 0.11 35-2 15. 10. 51. 37-3 219. 16. 27-70 46-79 40-91 14.01 1. 99 2. 77 0.28 49 6-3 0.27 17 89.41.67-75 56-32 71-43 9.80 0. 10 32-7 16. 11. 42. 58-1 232. 49. 58-21 70-39 47-82 13. 82 1.74 3.58 0.58 53 6-6 0. 12 21 88.28.41-74 33-12 08-6-2 8.47 0. 14 29-9 22. 16. 38. 40-9 309. 19. 33-42 37-17 56-25 6.92 0.97 7.53 1.28 13 8-3 0.44 46 84. 47. 10-00 6-85 63-15 4.51 1.07 12-9 23. 17. 22. 27-5 321. 34. 14-98 18-61 5637 5.39 1.00 7.74 1.01 08 8-5 0.67 49 84. 58. 29-66 25-28 64-38 4.74 1.26 10-8 24. 18. 5. 26-3 333.51. 3-17 10-19 52-98 3.95 1.07 7.76 0.69 07 8-8 0.93 51 85. 23. 33-06 31-85 61-21 5.22 1.44 93 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o'-00 7.02 2.00 4.00 0.76 30 20-8 e > 1.42 30 6o"oO 10.2i i. oo 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [13] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. If BJ Change for 08-1 1 in Argument. Parallactic Inequality. Change for 0?'l 1 in Argument. Annual Equation. Evection. Change for OS- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P. D. o jL . lr Effect of Mean Inclination. Change for OS- 1 1 in Argument. 1* - 1753. d h m 5 iMay 25.18.48.19-5 O f f 346. 15. 21-33 36-15 >t 45-18 ( K * 2.63 1.19 7.63 e 0.40 \\ 11 9-1 g v 1.21 52 o / /' 86. 1.42-26 44-63 57-63 e ( 5.94 1.60 8-2 26. 19. 31. 55-9 358. 52. 55-27 69-82 45-45: 1.54 1.35 7.31 0.17 17 9-3 1.50 53 86. 52. 0-43 369 56-74 6.88 1.73 7-6 June 4. 2. 43. 22-3 113. 20. 42-03 43-39 58-64 4.86 3. 12 1.55 1.46 33 11-8 2. 82 27 95. 3.27-15 14-16 72-99 5.83 1.17 24-0 7. 5.27.53-3 158. 28. 36-19 38-77 57-42 10.03 3.06 0.30 1.01 09 13-0 2.45 15 94. 19. 37-06 34-52 62-54 4.93 3.49 34-1 8. 6. 18. 33-4 172. 58. 25-91 29-17 5674 11.51 2.89 0.22 0.70 07 13-3 2.23 12 93.28.58-89 48-56 70-33 3.97 3.32 36-6 9. 7. 8. 13-8 187. 9.51-22 53-28 57-94 12.68 2.67 0.33 0.39 10 13-6 1.98 10 92. 26. 18-72 8-90 698-2 2.78 3.20 38-3 10. 7.57.37-5 201. 3. 58-62 60-85 57-77 13.51 2.42 0.60 0.15 16 13-9 1.71 09 91. 16. 7-29 2-83 64-46 1.47 3.12 39-5 11. 8.47.16-7 214. 42. 23"28 33-50 49-78 13.94 2.16 1.05 0.02 25 14-2 1.43 08 90. 2.60-71 56-58 64-13 0.12 3. 10 40-0 12. 9.37.28-5 228. 6.57-05 73-96 43-09 13.98 1.90 1.63 0.02 35 14-5 1.14 08 88.51. 6-07 2-58 63-49 8.79 ). 13 39-8 18. 14. 34. 7-4 304. 38. 56-47 66-02 50-45 7.87 0.98 6.27 1.49 37 16-7 0.02 26 84. 54. 19-49 27-69 51-80 4.50 1.02 28-5 19. 15. 18. 25-4 316. 54. 16-05 23-00 53-05 6.33 0.98 6.87 1.51 26 17-0 0.00 31 85. 1.36-13 37-09 59-04 4.66 1.21 25-8 21. 16. 44. 0-9 341. 21. 59-07 69-76 49-31 3.43 1. 11 7.64 1.16 10 17-6 0. 14 40 85.55.48-99 55-07 5392 5.71 1.55 20-2 23. 18. 10. 11-1 6. 17.51-45 62-08 4937 1.18 1.42 7.72 0.55 08 18-6 0.49 47 87. 36. 41-69 40-78 60-91 7.63 1.80 14-6 24. 18. 55. 32-7 19. 10. 22-91 34-59 48-32 0.46 1.63 7.49 0.28 13 18-9 0.73 50 88. 40. 41-41 43-94 57-47 8 84 1.87 12-2 26. 20. 34. 57-5 46. 12. 47-90 57-59 50-31 0.07 2.13 6.54 0.05 31 19-5 1.29 52 91. 4. 5-06 0-63 64-43 11.53 1.88 8-7 July 4. 3. 21. 12-7 152. 59. 34-60 44-15 50-45 9.02 3.13 1.25 1.46 28 22-1 2.80 35 94. 23. 31-08 24-43 66-65 15. 15 0.55 18-0 5. 4. 14. 6-7 168. 1.55-11 68-19 46-92 10.63 3.00 0.75 1.37 19 22-4 2.83 30 93. 35. 35-22 28-60 66-62 14.22 0.36 21-7 6. 5. 5. 16-6 182. 33. 48-70 55'51 53-19 11.99 2.81 0.40 1.16 11 22-7 2.81 26 92. 34. 35-35 32-36 62-99 13.06 0.22 25-0 7. 5.55.25-1 196. 49. 50-90 55-64 55-26 13.04 2.58 0.25 0.86 08 23-0 2.72 21 91. 25. 36-45 3777 58-68 11.75 0. 13 28-5 8. 6. 45. 11-9 210. 37. 20-04 15-52 64-52 13.72 2.32 0.26 0.55 08 23-7 2.58 17 90. 13.28-24 31-85 56-39 10. 39 0.10 31-6 9. 7.35. 2-3 224. 4.13-52 10-81 62-71 14.00 2.06 0.44 0.27 12 24-0 2.39 14 89. 2. 32-92 28-81 64-11 9.04 0.12 34-3 10. 8.25. 7-7 237. 14. 14-11 12-85 61-26 13.90 1.80 0.81 0.07 20 24-3 2.17 11 87.56. 7-66 7-08 60-58 7.79 0. 18 36-4 12. 10. 5. 15-9 262. 55. 38-50 45-13 53-43 12. 62 1.37 1.98 0.07 40 24-9 1.64 08 86. 8.56-37 61-97 54-40 5.77 0.43 39-3 13. 10. 54. 26-7 275.31.41-23 48-34 52-89 11.54 1.20 2.71 0.27 48 25-2 1.35 08 85. 32. 28-31 36-78 51-53 5. 10 0.60 39-9 15. 12. 30. 57-9 300. 22. 57-63 66-22 51-41 8.81 1. 00 4.36 0. 89 53 26-2 0.80 10 85. 0.11-49 16-54 5495 4.50 0.98 39-5 17. 13. 59. 22-5 324. 53. 6-07 1564 50-43 5.75 0.99 5.92 1.42 42 26-8 0.35 15 85. 23. 26-04 2987 56-17 4.95 1.35 372 19. 15. 24. 16-7 349. 20. 8-07 24-06 44-01 2.94 1.15 7. 12 1.47 22 27-4 0.07 23 86. 37. 5-01 8-58 56-4: 6.35 1.66 33-3 23. 18. 24. 52-8 40.14.21-14 31-74 49-40 0. 03 1.96 7.64 0.42 10 28-9 17 41 90. 46. 22-06 25-62 56-44 11.08 1.89 21-7 25. 20. 11. 53-9 68. 6.38-33 39-60 58-73 0.71 2.49 6.83 06 26 295 0.55 48 93. 0. 50-35 50-54 59-8 13.64 1.72 15-4 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub Sub. Sub. Sub. 60-00 7.02 2. 00 4.00 6.76 30 20-8 1.42 30 60-0 10.21 i.oo 23-7 ; [14] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Lonlfitude. t3 V - 5V M ?. *.= * tao ! "o>J & !il = a- W Change for Os- 1 in Argument. Parallactic Inequality. Variation. Change for Os- 1 in Argument. 1 Annual Equation. Evection. Change for Os-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. J.-H Co. . If as x Jr 3) Effect of Mean Inclination. Change for 08-1 1 in Argument. Evection in E.N.P.D. 1753. *_*",' Aug. 5. 5.31.24- O t IT 219.39.38-3 41-26 a 57-0 g 13.8 \ \ 2.2 0.3 g 1.0 09 32-5 g " 2.82 33 O t It 89. 10. 37-4 32-91 64-57 f ' 9.34 V \\ 0.11 18-4 9. 8.51.42- 271.35. 11-0 11-6E 59-4 12.2 1.3 1.0 0.0 25 33-8 2.53 16 85. 34. 21-4 25-03 56-38 5.21 0.57 30-4 11. 10. 26. 33 296. 22. 42-7 39-41 63-3 9.7 1.0 2.2 0.1 44 34-3 2.10 11 84. 58. 56-84 64-10 52-68 4.51 0.94 35-2 16.14. 5.59 357.41.58-7 66-6( 52-1 2.4 1.2 6.2 1.4 37 35-7 0.74 11 87. 22. 43-7 40-45 63-29 7.14 1.76 39-9 18. 15. 33. 46- 22. 43. 33-4 51-6" 41-8 0.6 1.5 7.3 1.4 18 36-2 0.31 16 89. 28. 10-52 5-10 65-4L 9.48 1.89 38-2 19. 16. 20. 22- 35.34.31-8 46-0,. 45-8 0.1 1.8 7.6 1.1 11 36-4 0. 15 20 90. 36. 40-50 40-93 59-57 10.76 1.90 36-6 20.17. 9.34-5 48.45. 6-9 21-2C 45-7 0.0 2.0 7.7 0.8 07 36-6 0.05 24 91.45. 7-2J 9-48 57-75 12. 05 1.85 34-5 21.18. 1.44-0 62.20.20-1 28- IS 52-0 0.3 2.3 7.7 0.5 08 36-8 0.00 29 92. 49. 50-12 53-55 56-57 13.28 1.76 31-8 24. 20. 53. 17-7 106. 3.14-4 21-0 (53-47 3.4 3.0 6.5 0.0 31 37-6 0.2-2 42 94. 58. 35-2 32-98 (62-24 15.77 1.2 21-4 Sep. 6. 7.36.32-9 279.56. 8-8 16-92 51-9 11.8 1.2 0.4 0.2 12 39-7 2.83 32 85. 5.43-78 50-07 53-71 4.81 0.71 17-2 7. 8.23.45-5 292. 19. 14-6 15-05 59-5 10.5 1.1 0.7 0.0 20 39-8 2.83 28 84. 52. 20-86 22-43 58-43 4.54 0.90 19-9 8. 9. 9.28-1 304. 35. 57-4 51-76 65-6 9.1 1.02 1.29 0.0 29 40-1 2.77 23 84.53. 5-80 12-13 53-67 4.52 1.09 22-9 10. 10. 37. 14-8 329. 3. 54-4 41-11 73-2 6.1 0.98 2.66 0.25 48 40-3 2.49 15 85. 36. 13-98 16-16 57-82 5.27 1.45 28-5 14. 13. 32. 35-7 18. 47. 57-7 58-58 59-17 1.0 1.44 5.87 1.40 42 40-7 1.49 08 89. 14. 45-28 39-76 65-52 9.23 1.89 37-6 15. 14. 18. 40-0 31.36. 2-1 3-26 58-85 0.3 1.66 6.54 1.51 33 40-8 1.21 08 90. 24. 29-82 25-99 63-83 10.61 1.90 38-9 17. 15. 67. 26-8 57. 56. 24-00 27-83 56-17 0.1 2.16 7.49 1.31 14 41-1 0.68 11 92. 40. 44-51 40-97 63-54 13.03 1.78 40-0 18. 16. 50. 26-7 71.34.46-7 45-59 61-12 0.54 2.43 7.72 1.05 09 41-1 0.45 14 93.39.45-18 42-10 63-08 14. 13 1.66 39-5 19. 17. 45. 29-4 19. 17.45.29-4 85. 35. 20-79 85. 35. 20-70 18-33 18-33 62-46 62-37 1.38 1.38 2.68 2.68 7.77 7.77 0.74 0.74 07 07 41-2 41-2 o. 2r 0.26 17 17 94. 27. 18-25 94. 27. 21-24 21-40 21-40 56-85 59-84 15.02 15. 02 1.49 1.49 38-4 39-4 20.18.41.55-0 99. 59. 34-34 34-88 59-46 2.57 2.89 7.64 0.43 10 41-3 0.12 21 94.59.44-19 44-40 59-79 15.64 1.28 36-7 Oct. 1. 3.48.29-5 249. 2.32-46 39-94 52-52 13.85 1.77 1.05 1.44 24 41-6 1.53 52 86. 27. 55-58 51-40 64-18 6.44 0.33 7-9 2. 4. 40. 15-6 262. 17. 15-42 18-38 57-04 13.33 1.54 0.60 1.29 15 41-6 1.82 52 85. 39. 57-25 48-41 68-84 5.55 0.48 7-5 4. 6.18.47-4 287.45.21-32 24-71 56-61 11.37 1.18 0.22 0.74 07 41-6 2.33 47 84. 47. 56-81 51-41 65-40 4.58 0.85 8-2 5. 7. 5.18-4 300. 8. 19-65 27-95 51-70 10. 06 1.07 0.30 0.43 09 41-5 2.53 44 84. 44. 16-63 16-07 60-56 4.50 1.04 9-3 6. 7.50.12-9 312.24. 4-98 13-57 51-41 8.60 1.00 0.55 0.18 15 41-5 2.69 40 84.55. 5-79 8-68 57-11 4.69 1.23 10-8 7. 8. 33. 54-3 324. 37. 24-84 27-39 57-45 7.08 0.97 0.97 0.03 24 41-5 2.79 30 85. 19. 49-07 49-55 60-52 5.12 1.41 12-0 8. 9. 16. 52-4 336. 52. 29-64 30-37 59-27 5.55 .99 1.65 0.01 34 41-4 2.83 31 85. 57. 20-64 18-27 62-37 5.79 1.57 15-2 10.10.43. 1-9 1.42.42-59 30-13 72-46 2.76 .17 3.00 0.37 51 41-3 2.74 22 87.45.10-52 9'53 60-99 7.73 1.81 20-7 11. 11. 27. 25-5 14. 22. 66-60 57-92 68-68 1.64 .33 3. 82 0. 69 54 41-2 2.62 18 88.51.27-31 28-70 58-61 8.94 1.88 23-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub 6o"-00 7.02 .00 4.00 0.76 30 20-8 1.42 30 60*00 0.21 I. 00 23-7 1753. Aug. 24. The Moon's Observed Z. D. has been decreased 3 Verniers. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [15] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. IK w ti 11 5f Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os-l 1 in Argument. Annual Equation. Evection. Change for OS- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. 2..H o.s-x ^~ Q U ^ Slz cSg o c | 111 1 a v Cbange for 0?-1 1 in Argument. Evection in E.N.P.D. 1753. d h m ' O / II a // g " V \ u g ~- u g v M O ' II II II \ \\ Oct. 13. 13. 3. 45-2 40. 24. 55-44 60-12 55-32 0.22 1.75 5.45 1.30 47 41-1 2.22 12 91.14.42-05 38-81 63-24 11.53 1.88 29-7 14.13.54.13-8 53. 47. 34-59 32-79 61-80 0.03 2.00 6.17 1.47 33 41-0 1.97 10 92.24.11-64 5-52 66-12 12.79 1.80 32-7 15. 14. 46. 54-8 67. 25. 38-08 34-00 64-08 0.22 2.26 6.79 1.51 28 41-0 1.70 08 93. 26. 46-75 44-18 62-57 13.93 1.68 35-0 16.15.41.22-9 81. 19.27-33 14-12 73-21 0.82 2.53 7.28 1.41 18 40-9 1.42 08 94. 18. 32-68 31-73 60-95 14.87 1.52 37-2 19. 18. 27. 52-4 124.29.34-49 28-20 66-29 4.67 3.11 7.74 0.59 08 40-5 0.61 12 95.14.34-46 40-13 54-33 15.88 0.88 40-0 31. 4.10.37-8 282.26. 9-54 10-06 59-48 12.09 1. 28 0.81 1.39 20 38-9 1.03 52 84. 53. 12-06 13-17 58-89 4.66 0.79 11-7 Nov. 2. 5. 44. 36-3 307.29. 5-33 7-94 57-39 9.52 1.04 0.26 0.90 08 38-4 1.61 52 84. 48. 59-52 52-25 67-27 4.61 1.18 8-6 4. 7.11.59-7 331.57.45-25 55-78 49-47 6.50 0.97 0.40 0.30 12 38-0 2.15 49 85.41. 7-04 2-00 65-04 5.58 1.53 7'4 5. 7.54.38-2 344, 13. 0-75 7-31 53-44 4.99 1.01 0.75 0.09 19 37-8 2.39 46 86. 25. 30-91 33-50 57-41 6.40 1.67 7-6 8.10. 6.50-1 22. 1.36-67 40-10 56-57 1.28 1.40 2.60 0.23 47 37-2 2.80 35 89. 33. 17-88 19-44 58-44 9.84 1.90 11-3 10.11.44.56-0 48. 40. 18-26 22-50 55-76 0.10 1.84 4.24 0.84 54 36-6 2.80 25 91. 57. 15-72 16-24 59-48 12.45 1.83 16-3 10.11.47. 9-9 48.41.31-98 35-99 55-99 0.10 1.84 4.24 0.84 54 366 2.80 25 91.57. 25-93 22-52 63-41 12.46 1.83 16-3 11.12.40.11-0 62.30. 8-63 20-62 48-01 0.06 2.10 5.05 1.16 50 36-4 2.72 21 93. 3.46-60 41-44 65-16 13. 65 1.72 19-4 13. 14. 31. 48-9 90. 57. 29-25 26-06 63-19 1.15 2.62 6.49 1.51 33 36-0 2.39 14 94. 42. 39-83 41-40 58-43 15. 42 1.37 26-3 16. 17. 18. 37-0 134.47.43-19 38-23 64-96 5.32 3. 14 7.71 1.06 09 35-0 1.62 08 94. 57, 47-71 51-13 56-58 15. 61 0.70 35-6 18.19. 3.258 164. 8.41-61 39-59 62-02 8.82 3. 14 7.65 0.44 10 34-5 1.05 09 93.31.40-89 41-09 59-80 13. 98 0.32 39-2 19.19.54.44-1 178. 45. 15-38 10-82 64-56 10.45 3.02 7.37 0.20 16 34-3 0.79 10 92. 26. 28-39 27-98 60-41 12.77 0.19 39-9 20.20.46. 6-4 193. 17. 5-03 1-26 63-77 11.85 2.83 6.91 0.07 25 34-0 0.55 13 91.12.21-41 10-42 70-99 11.39 0.12 39-9 29. 3. 37. 27'6 302. 12. 11-0-2 9-79 61-23 10.40 1.09 1.0.0 1.44 25 31-6 0.36 45 84.52.20-71 16-34 64-37 4.54 1.12 21-2 30. 4.22.49-2 314.36.57-14 54-25 62-89 8.97 1.01 0.63 1.31 16 31-3 0.57 48 85. 6.40-79 38-51 62-28 4.84 1.31 18-2 Dec. 2. 5.49. 9'5 339. 3.46-57 42-10 64-47 5.92 0.98 0.23 0.76 07 30-4 1.10 52 86. 13. 63-06 58-62 64-44 6.13 1.63 13-3 3. 6.31.28-4 351.16.50-76 52-63 58-13 4.44 1.04 0.29 0.45 09 30-1 1.39 53 87. 3.59-66 59-73 59-93 7.08 1.75 11-3 6. 8.44.35-5 29. 7.24-88 23-58 61-30 0.96 1.47 1.50 0.01 33 29-2 2.21 49 90. 17. 39-70 32-35 67-35 10.69 1.90 7-6 7. 9.33.31-3 42.25.25-36 31-76 53-60 0.32 1.6!) 2.18 0.12 43 28-9 2.44 46 91.27.58-65 60-94 57-71 12. 00 1.86 7-4 8. 10. 25. 34-5 56. 9.48-48 57-16 51-32 0.04 1.94 2.94 0.35 50 28-6 2.62 42 92. 35. 28-00 31-71 56-29 13.25 1.76 7-9 9.11.20.38-2 70.20.36-81 43-84 5297 0.14 2.20 3.76 0.67 54 28-3 2.75 38 93. 35. 28 99 30-29 58-70 14.34 1.62 9-1 17.18.43.11-5 188. 49. 46-82 40-54 66-28 11.02 2.95 7.74 0.60 08 25-1 1.83 09 91. 24. 55-28 54-19 61-09 11.68 0.13 33-7 29. 3.44.36-6 334. 8. 35-36 26-00 69-36 6.88 0.97 0.84 1.40 20 21-1 0.09 38 86. 10. 29-74 28-32 61-42 5.90 1.59 29-2 30. 4.26.51-4 346. 17. 47-32 40-11 67-21 5.36 1.00 0.46 1.21 13 20-8 0.23 42 86 57. 12-56 9-42 63-14 6.79 1.72 26-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60*00 7.02 2.00 \ \\ 4.00 g \ 0.76 30 20-8 1.42 30 60-00 g > 10.21 1. 00 23-7 [16] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for O-'-l 1 in Argument. Parallactic Inequality. Variation. Change for OB- 1 1 in Argument. 1 Annual Equation. Evection. Change for OB-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P.D. os. . sj ill W o t 1 1 Change for OB- 1 in Argument. fEvection in E. N.P.D. 1753. * * m ' Dec. 31. 5. 8. 57'2 o / 358.27.61-84 54-41 a 67-43 g " 3.91 e * 0.93 v\ 08 20-5 g v 0.41 46 1 // 87. 52. 21-35 If 18-56 62-79 S v 7.83 V \\ 1.82 23-7 1.07 0.26 1754. Jan. 2. 6.35.54-1 23. 15. 53-24 50-40 62-84 1.51 1.35 0.38 0.32 11 19-8 0.89 51 89. 59. 56-15 50-31 65-84 10.25 1.90 18-0 3. 7.22.23-1 36. 6.30-41 29-18 61-23 0.68 1.55 0.72 0.10 18 19-1 1.17 52 91. 7.23-77 24-43 59-34 11.53 1.88 15-2 I 5. 9. 4.35-0 63. 9.4735 53-67 53-68 0.03 2.03 1.83 0.04 38 18-5 1.75 52 93. 14. 10-67 13-21 57-46 13.93 1.68 10-4 6. 10. 0. 33-5 77. 28. 53-54 61-38 52-16 0.28 2.30 2.55 0.22 47 18-1 2.03 50 94. 5. 5-70 7-30 58-40 14.89 1.52 8-8 7. 10. 58. 58-7 92. 18. 34-89 42-00 52-89 0.93 2.56 3.35 0.50 52 17-8 2.28 48 94.41.26-55 27-36 59-19 15.58 1.31 7-7 8. 11. 58. 32-3 107.33. 8-44 9-46 58-98 1.96 2.80 4.18 0.83 54 17-5 2.49 45 94.69. 0-96 1-01 59-95 15.91 1.08 7-4 8. 12. 0. 55-9 107. 34. 39-29 37-78 61-51 1.96 2.80 4.18 0.83 54 17-5 2.49 45 94.59. 5-53 1-69 63-84 15.91 1.08 7-4 9.13. 0. 8-8 123. 4.38-85 36-12 62-73 3.31 2.99 5.00 1.14 51 17-1 2.66 41 94.55. 8-90 5-95 62-95 15. 84 0.83 8-1 11.14.53.39-7 154. 7. 3-20 o-io 63-10 6.66 3.18 6.45 1.51 34 16-2 2.83 32 93. 43. 59-63 57-64 61-99 14.48 0.40 11-8 17.20. 5.47-8 240. 17. 45-47 45-52 59-95 13.95 2.15 7.39 0.21 16 13-9 2.02 10 86. 52. 15-09 13-19 61-90 6.67 0.30 31-1 18. 20. 57. 24-2 253. 36. 53-71 56-77 56-94 13.98 1.89 6.95 0.07 25 13-6 1.75 09 86. 2. 50-68 58-70 51-98 5.73 0.44 33-7 27. 3. 6. 6-6 353. 57. 15-66 11-60 64-06 4.80 1.02 1.13 1.45 26 10-9 0.03 26 87. 45. 33-90 35-28 58-62 7.56 1. 80 37-6 30. 5.15.42-9 30. 48. 52-04 43-77 68-27 1.16 1.42 0.23 0.79 07 10-0 0. 12 39 90. 56. 36-54 32-96 63-58 11.16 1. 89 31-3 31. 6. 2.28-0 43. 33. 63-74 54-85 68-89 0.45 1.63 0.28 0.47 09 9-7 0.27 43 92. 1.26-74 26-73 60-01 12.38 1.83 28-5 Feb. 3. 8.40.26-1 84. 35. 43-48 41-36 62-12 0.48 2.40 1.46 0.00 33 8-6 0.96 51 94. 34. 59-80 56-20 63-60 15.33 1.40 18-9 4. 9.38.25-6 99. 22. 35-45 38-01 57-44 1.27 2.65 2.13 0.11 42 8-4 1.25 52 94. 58. 51-07 53-82 57-25 15.81 1.18 15-6 5.10.37.36-5 114. 39. 56-23 60-85 55-38 2.43 2.87 2.88 0.34 50 8-1 1.54 53 95. 2.45-42 43-67 61-75 15.92 0.94 12-6 6. 11. 36. 45-5 130. 19. 49-88 54-60 55-28 3.88 3.05 3.76 0.65 54 7-8 1.83 52 94. 44. 23-33 18-57 64-76 15.61 0.70 10-1 7. 12. 37. 17-4 146. 12. 40-69 35-08 65-61 5.55 3. 15 4.59 0.98 53 7-6 2.10 50 94. 3.56-34 54-43 61-91 14.89 0.48 8-4 13. 18. 2. 17-7 236. 1. 52-62 47-88 64-74 13.73 2.31 7.75 0.93 08 5-9 2.81 26 86.55. 8-43 8-21 60-22 6.90 0.27 15-0 28. 4.45.58-2 51.48. 8-19 6-56 61-63 0.27 1.72 0.27 0.95 08 2-7 0.01 27 92. 53. 35-46 3527 60-19 13. 25 1.76 38-6 Mar. 1. 5.35.56-0 64.54. 9-49 6-57 62-92 0.03 1.97 0.24 0.64 07 2-5 0.00 31 93. 47. 59-76 59-99 59-77 14.27 1.63 37-0 2. 6.28.28-8 78. 25. 57-98 47-99 69-99 0.18 2.23 0.37 0. 34 11 2-4 0.05 36 94. 31.40-09 40-12 59-97 15.10 1.47 34-9 3. 7. 23. 20-6 92. 27. 20-75 5-02 75-73 0.73 2.50 0.69 0.12 18 2-2 0. 15 40 95. 0.56-79 57-75 59-04 15.68 1.26 32-2 4. 8. 19. 54-7 106. 59. 60-41 53-49 66-92 1.67 2.74 1.17 0.01 27 2-1 0. 31 44 95. 12. 22-90 23-18 59-72 15.93 1.04 29-0 5. 9.17.24-2 122. 3.11-74 7-45 64-29 2.95 2.95 1.78 0.04 37 1-8 0.52 47 95. 3. 10-91 8-12 62-79 15.80 0.81 25-5 6.10.15. 1-7 137.32. 1-98 0-92 61-06 4.49 3.09 2.49 0.21 46 1-7 0.77 50 94. 31. 55-48 54-93 60-55 15.27 0.58 21-7 7. 11. 12. 14-5 153. 18. 12-15 10-87 61-28 6.21 3.17 3.29 0.48 52 1-6 1.04 52 93. 39. 45-17 43-79 61-38 14.34 0. 38 17-7 Sub. 60-00 Sub. s \ 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 6o'-00 Sub. 10.2i Sub. i.ob Sub' 23": 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [17] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. 11 Change for OB- 1 1 in Argument. Parallartic Inequality. Variation. Change for OK-I 1 in Argument. a o |1 K Change for Os-1 in Argument. Ecliptic N.P D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. o W ""* 3 8* W*^ "o c Change forOe-1 1 in Argument. J3 . b] 1754. * * - O 1 II " " g " \ \\ V W f ' g % o / it ff ff s v \ u < Mar. 9.13. 7. 8'5 184. 59. 23-46 23-50 59-96 9.68 3.08 4.94 1. 13 51 1-3 1.63 52 91. 9.25-01 26-74 58-27 11.64 0.13 11 5 28. 3. 32. 25-0 60.41.15-90 18-00 57-90 0.13 1.81 0.69 1.34 17 o-o 0.54 13 93. 37. 26-39 27-22 59-17 14.07 1.66 38-7 31. 6.10.22-8 101. 21. 35-27 36-25 59-02 1.04 2.59 0.27 0.49 09 o-o 0.06 24 95. 15. 52-66 53-54 59-12 15 89 1.11 39-7 April 2. 8. 0.47-7 130. 26. 7-51 8-63 58-88 3.50 3.01 0.90 0.05 22 o-o 0.01 33 94. 52. 50-75 54-57 56-18 15.51 0.66 369 3, 8.56. 8-5 145. 32. 63-07 58-54 64-53 5.11 3.13 1.46 0.00 32 o-o 0.07 37 94. 10. 45-25 42-73 6252 14.75 0.45 34-5 4. 9.51.22-8 160. 57. 29-18 27-72 61-46 6.87 3.18 2.13 0.10 42 o-i 0.19 41 93. 9. 52-41 49"28 63-13 13.67 0.28 31 3 5.10.46.38-9 176. 32. 26-55 28-22 58-33 8.63 3.14 2.88 0.33 50 o-i 0.37 45 91.54.20-15 15-65 64-50 12.31 0.16 27-8 7. 12. 40. 26-4 207. 39. 10-35 16-13 54-22 11.72 2.86 4 53 0.97 53 0-2 0.84 51 89. 4.14-53 10-55 63-98 9.24 0.11 20-2 8. 13. 36. 43 7 222.51. 9-81 13-67 56-14 12.84 2.63 5.34 1.26 48 0-3 1.12 52 87.43.61-44 56-73 64-71 7-78 0.19 16-5 12. 17. 14. 37-3 279. 14. 44-08 51-97 52-11 13.55 1.61 7.58 1.24 12 0-5 2.24 48 84. 45. 37-90 34-42 63-48 4.56 0.87 8-1 28. 5. 0.25-5 111. 4.26-18 32-08 54-10 1.41 2.69 0.28 0.97 OS 2-5 0.71 11 95. 14. 54-05 49-33 64-72 15.92 0.93 36-9 30. 6.48. 6-9 139. 54. 52 65 63-10 49-55 4.09 3.06 0.35 0.35 10 2-9 0.28 17 94. 26. 14-24 9-87 64-37 15.00 0.51 39-7 May 1. 7.41.23-4 154. 42. 12-72 26-06 46-66 5.77 3.16 0.66 0.12 17 3-1 0. 13 21 93. 34. 15-04 8-38 66-66 14.04 0.33 40-0 2. 8.34 35-3 169.41.51-18 60-30 50-88 7.54 3.17 1.13 0.01 27 3-3 0.04 25 92. 26. 57 99 53-93 64-06 12.80 0.20 39-5 3. 9.28. 7-8 184. 50. 6-57 14-19 52-38 9.27 a. 11 1.73 0.03 37 3-4 0.00 29 91. 8.56-92 51-10 65-82 11.37 0.12 38-1 4. 10. 22. 26-7 200. 2. 0-14 3-01 57-13 10.85 2.97 2.44 0.19 46 3-6 0.02 34 89. 45. 50-64 44-38 66-26 9.85 0.10 36-1 5.11.17.446 215. 10. 55-05 61-77 53-28 12.18 2.78 3.23 0.46 52 3-8 0.10 38 88.24. 9-60 1-06 68-54 8.37 0. 15 33-3 6. 12. 13. 55 9 230. 10. 6-35 6-38 59-97 13.17 2.54 4.06 0.79 54 4-2 0.24 43 87. 9.56-08 57-27 58-81 7.02 0.25 30-2 . 6. 12 16. 14-9 230.11.21-12 29-35 51-77 13.17 2.54 4.06 0.79 54 42 0.24 43 87. 9.44-88 50-86 54-02 7.02 0.25 30-2 28. 6.37.42-8 150. 5. 6'3(] 11-73 54-57 4.71 3.11 0.24 0. 82 07 9-6 1.17 08 93. 42. 46-52 42-24 64-28 14.27 0.37 32-4 30. 7.21.41-1 179. 26. 20-91 30-81 50-10 8.20 3.16 0.48 0.23 13 10-4 0.64 12 91. 29. 35-67 25-79 69-88 11.75 0.13 37-5 31. 8.13.56-4 194. 10. 56-12 72-57 4355 9.89 3.07 0.87 0.05 22 10-7 0.42 14 90.11.23-36 17-07 66-29 10. 30 0.10 39-0 June 2. 10. 1.23-9 223. 37. 38-19 59-47 38-72 12.59 2.69 2.08 0.09 41 11-3 0.10 22 87. 38. 44-01 39-59 64-42 7.46 0.21 399 3.10.56.43-2 238. 12. 30-32 48-35 41-97 13.45 2.44 2.83 0.31 49 11-5 0.02 26 86. 34. 55-23 50-33 64-90 6.28 0.35 392 5. 12. 49. 56-5 266.42 5895 68-06 50-89 13.99 1.92 4.47 0.95 53 12-1 0.04 35 85. 12. 8-05 3-25 64-80 4.77 0.72 35-8 6. 13. 43. 35-1 280. 28. 51-18 54-85 56-33 13.68 1.67 5.29 1.24 48 12-7 0.13 40 84.56.47-19 44-74 6245 4.51 0.94 33-3 14. 19. 45. 13-8 20.57. 10-08 13-00 57-08 3.53 1.10 7.25 0.15 18 15-4 2.12 50 90. 30. 51-02 51-66 5936 10.89 1.89 11-7 24. 3.34.15-7 145. 32. 36 53 2963 66-90 3.73 3.03 0.94 1.42 22 18-6 2.41 14 93. 46. 37-60 29-31 68-26 14.48 0.40 163 29. 7.55.304 218.37.56-98 75-20 41-78 11.89 2.83 0.63 0. 13 17 20-2 1.09 09 87. 52. 60-42 56-28 64-14 7.77 0.19 333 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. t \ 1.42 Sub. 30 Sub. Sub. f \ 10.21 Sub. i. 06 Sub. 23-7 2.00 4.00 GREENWICH LUNAR REDUCTIONS. [18] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. -H Greenwich ~ w - ? ^ i" Ecliptic 1 . '& &> - Mean Solar Time Longitude ** "! ^ * 1 .H .tT c O "* 3 ' c ll u Z w " ce < > . Moon's Limb. Observation. O *J - 1 5.5 u.S 53 Observation. * 5 = ucd 1754. * " ' O 1 II ft " f " , X " it ft I " V 1 July 2. 10. 37. 47-3 201. 2.41-31 03-35 37-96 14.00 2.08 2.44 0.18 46 21-4 0.36 15 85.21.50-01 5530 00-71 4.92 60 39-2 4. 12. 25. 50-7 288. 10.30-17 48-94 47-23 13. 47 1.58 4.06 0.77 54 22-1 0.08 23 85. 0. 48-89 47-03 01-80 4.52 1.08 39-9 13.19. 9. 8-4 40. 43. 58 04 04-08 5450 1.80 1.29 7.47 0.26 14 25-2 1.34 53 92. 24. 4G"2o 40-44 05-81 12.91 1.79 21-2 22. 2.20.29-5 154. 53. 10-58 1975 5083 4.33 3.08 1.83 1.43 37 28-0 2.83 29 92. 59. 48-47 54-12 5435 13.69 0.29 8-1 25. 5. 0. 4-0 199.49.10-15 7-88 02-27 !>..-! 3.10 0.38 1. 13 11 29-2 2.65 17 89. 13. 52-23 45-03 GO-GO 9.44 0.11 14-3 26. 6.52.44-0 214.20.06-53 5755 08-98 11.06 2.95 0.24 0.83 07 29-5 2.36 14 87. 59. 32-81 28-38 04-43 8.04 0.17 17-5 31.10.17.34-0 283. 27. 27-43 41-07 45-70 13.78 1.73 2.03 0.09 41 31-2 1.0-2 09 84. 50. 35 15 30 74 64-41 4.50 1.03 33-3 Aug. 1. 11. 7.45-5 290.35.11-55 25-64 45-91 13.21 1.50 2.77 0.30 49 31-5 0.75 11 85. 7.51-84 53-25 5859 4.69 1.23 356 2, 11.55.57-4 309. 28. 55-30 65 12 50-18 12. 32 1.31 3.58 0.60 53 31-7 0.52 13 85.34. 2-03 5-88 56-75 5.15 1.42 37-5 3. 12. 44. 13-6 322. 10. 1-26 13-08 48-18 11.17 1.16 4.42 0.93 53 32-0 0.31 16 80. 13. 15-97 12-00 6397 5.87 1.58 389 4.13.28.36-4 334. 37. 39 64 55-22 44-42 9.83 1.05 5.23 1.23 49 32-3 0.16 20 87. 2.53-08 40-35 72-73 6.77 1.72 39-7 8. 16. 19. 63 23.23. 9-00 1056 58-44 3.87 1.08 7.53 1.27 13 33-6 0.08 37 91.12.25-32 19-52 65-80 11.41 1.88 38-0 9.17. 3.12-3 35. 40. 20-87 24-63 50-24 2.57 1.20 7.74 1.00 08 33-8 0.20 42 92. 14. 43-99 4205 61-94 12.58 1.82 36-3 10. 17. 49. 12-2 48. 11. 11-53 15-72 55-81 1.48 1.36 7.76 0.69 07 34-1 0.38 45 93.11.50-07 50-48 59-59 13.66 1.72 34-3 13. 20. 22. 12-7 88. 1.50-01 50-88 59-13 0.03 2.04 6.79 0.06 27 348 1.13 52 95. 2. 1-05 17-00 44-59 15.79 1.20 25-5 21. 2.52.29-7 194. 10. 43-82 54-01 49-81 8.46 3. 15 1.55 1.46 33 366 2.76 37 89. 32. 64-64 50-80 73-78 9.86 0.10 7-5 23. 4.41. 9-1 223. 59. 19-40 23-10 5630 11.58 2.88 0.53 1.26 14 37-2 2.83 28 87. 1.51-51 48-16 63-35 7.05 0.25 8-5 25. 6. 29. 13-7 252.20.28-17 33-40 54-77 13.54 2.41 0.23 0.68 07 37-0 2 66 19 85.21.41-21 32-68 68-53 5.17 0.58 12-0 26. 7. 22. 22-2 265. 59. 55-09 5700 58 09 13.96 2.14 0.34 0.38 10 37-8 2.50 10 84. 56, 17-27 14-35 62-92 4.67 0.78 14-0 27. 8. 14.15-1 279. 20. 46-39 52-68 53-71 13.97 1.88 0.63 0. 14 17 38-0 2.30 13 84.48. 6-51 5-80 60-05 4.50 0.98 17-5 28. 9. 4.28-0 292. 25. 16-40 21-62 54-84 13.61 1.64 1.09 0.01 26 38-2 2.05 10 84. 56. 27-19 2801 58-58 4.62 1.19 20-4 30.10.39.11-0 317. 52. 55 33 55 7 59-36 11.91 1.25 2. 3S 0. 17 45 38-7 1.51 08 85. 56. 59-77 01-23 58-54 5.69 1.55 20-5 31. 11.23. 54-6 330. 19. 68-02 55-93 72-09 10.69 1. 12 3. 17 0.43 52 38-8 1.22 08 86.45. 675 897 57-78 6.55 1.69 29-2 ; Sep. 1. 12. 7. 17-5 342. 38. 19-54 22-77 56-77 9.28 1.02 4.00 0.75 54 39-0 0.95 09 87.41.55-98 50-55 59-43 7.57 1.80 31-8 1. 12. 9. 19-6 342. 39. 15-06 23-22 52-44 9.28 1.02 4.00 0.75 54 390 0.95 09 87.42. 8-15 1-54 00-01 7.58 1.80 31-8 2.12.51.52-1 354.51.21-47 31-24 50-23 7.79 0. 93 4.82 1.07 52 39-1 0.69 11 88. 44. 49-21 49-40 5975 8.72 1.87 34-3 ' 4.14. 16.41-0 19. 7.39-28 48-33 50-95 4.76 1.02 6.31 1.49 36 39-4 0.27 17 90.57.20-37 23-90 02-47 11. 14 1.89 37-9 5.15. 0. 5-0 31.18.37-89 48-48 49-41 3.36 1.1-2 6.91 1.51 26 396 0.13 21 92. 1.43-88 42-34 61-54 12. 32 1.84 39-0 6. 15. 44. 52-6 43.37. 8-29 18-59 49-70 2.13 1.25 7. 34 1.39 17 397 0.04 25 93. 1. J2-46 7 15 65-31 13.40 1.75 39-8 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. /f e \ \ \\ \ \v e \ ^ ^ s , u II K \ \ \\ x 60-00 7.02 2.00 4. 00 0.76 30 20-8 1. 42 30 6000 10.21 1.00 237 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [19] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Obscrration. !? J5 *c 1-M sSf 1/3 "0.3 Excess of Oliserved Longitude. !. E l Change for 0*'l 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. -B gg < S Evection. | Change for 08-1 | in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P. D. . w ^ld ^ 11* 1 Effect of Mean Inclination. Change for OS'l in Argument. |<5 .2 ft U +7 0, ?-* > " 1754. d " "' ' O ' H H a n \ \v \ w g " \ f v O ' II II " g V \\ \ Sep. 8. 17. 20. 17-9 68 56. 28-73 29-31 59-42 0.43 1.64 7.77 0.85 07 40-1 0.02 34 94.34.33-13 31-25 61-88 15.14 1.46 39-7 11. 19. 59. 4-5 109. 52. 3-42 4-03 59-39 0.50 2.41 7. 06 0.10 22 40-4 0.43 46 95. 10. 4-38 13-86 50-52 15.84 0.84 349 21. 4.22. 6-7 247. 16. 46-15 63-40 42-75 13.09 2.56 0.75 1.36 18 41-3 2.68 40 85. 28. 32-37 22-64 69-73 5.35 0.53 8-0 22. 5. 16. 58-3 261.23.56-10 65-42 50-68 13.75 2.30 0.40 1.14 11 41-3 2.78 36 84. 56. 32-13 22-94 60-19 4.76 0.73 7-4 23. 6. 10. 13-4 275. 4.12-25 16-23 56-02 14.01 2.04 0. 25 0.85 08 41-4 2.83 31 84.42.51-72 48-43 63-29 4.51 0.94 7-6 24. 7. 1.25-7 288. 20. 13-83 18-82 55-01 13.88 1.78 0.26 0.53 08 41-5 2.82 27 84. 46. 53-19 44-44 68-75 4.57 1.15 8-4 25. 7.50.24-4 301. 15. 42-58 47-17 55-41 13.38 1.55 0.44 0.26 13 41-5 2.75 22 85. 6.39-65 35-97 63-68 4.93 1.34 9-7 26. 8. 37. 13-9 313. 54. 31-90 3671 55-19 12.56 1.36 0.81 0.07 21 41-5 2.62 18 85. 40. 27-62 25-26 62-36 5.54 1.52 11-5 27. 9.22.12-1 326. 20. 44-87 43-70 61-17 11.47 1.19 1.33 0.00 30 41-5 2.45 15 86. 25. 57'45 60-30 57-15 6.36 1.66 135 28. 10. 5. 45-1 338. 37. 55-79 49-38 66-41 10.17 1.07 1.98 0.07 40 41-6 2.24 12 87. 20. 57-82 58-46 59-36 7.35 1.78 15-9 29. 10. 48. 23-9 350. 49. 29-96 17-57 72-39 8.73 1.00 2.71 0.28 48 41-6 1.99 10 88. 22. 49-12 48-58 60-54 8.47 1.86 18-7 30. 11. 30. 40-8 2. 58. 13-40 7-43 65-97 7.21 0.97 3.52 0.57 53 41-6 1.72 08 89. 28. 54-04 51-27 62-77 9.66 1.90 21-4 Oct. 1. 12. 15. 11-2 15. 8. 4-43 4-32 60-11 5.67 0.99 4.36 0.90 54 41-6 1.44 08 90. 36. 25-65 25-02 60-63 10.88 1.90 24-2 3. 13. 42. 47-2 39. 36. 52-63 52-75 59-88 2.86 1.16 5.92 1.42 41 41-6 0.88 10 92.44. 7'44 16-31 51-13 13.18 1.77 29-9 6. 16. 5. 54-7 77. 30. 60-86 55-60 65-20 0.25 1.73 7.51 1.29 13 41-5 0.23 18 94. 56. 47-99 47-10 60-89 15.57 1.32 36-9 7. 16. 57. 2-2 90. 40. 54-95 59-00 55-95 0.03 1.98 7.73 1.02 08 41-5 0.10 22 95. 14. 50-00 53-41 56-59 15.88 1.12 38-4 9. 18. 42. 52-7 118. 8.51-00 58-84 52-16 0.76 2.51 7.63 0.40 10 41-4 0.00 31 94. 59. 31-36 30-76 60-60 15.58 0.69 40-0 10. 19. 36. 50-6 132. 31. 31-98 33-40 58-58 1.71 2.75 7.31 0.18 17 41-3 0.04 35 94. 23. 46-26 46-46 59-80 14.93 0.49 39-7 21. 4.54.39-5 283. 21. 35-98 49-84 46-14 14.00 1.94 0.55 1.27 15 40-4 2.37 47 84. 44. 59-96 51-42 68-54 4.53 1.09 11-2 22. 5. 45. 39-0 296. 41. 18-70 27-57 51-13 13.73 1.69 0. 3( 1.01 09 40-3 2.57 43 84. 59. 40-32 33-58 66-74 4.82 1.30 9-4 23. 6. 33. 55-8 309.36. 4-87 18-37 46-50 13. 10 1.47 0.22 0.70 07 40-2 2.71 39 85. 29. 17-44 13-57 63-87 5.38 1.48 8-2 24. 7. 19. 50-0 322.11.14-40 29-03 45-37 12. 17 1.29 0.33 0.40 10 39-9 2.80 35 86. 11. 22-21 19-93 62-28 6.16 1.63 76 26. 8.46.42-2 346. 44. 18-20 21-94 56-26 9.63 1.04 1.05 0.02 25 39-6 2.81 26 88. 2.52-21 47-06 65-15 8.21 1.84 7-9 28. 10. 11. 16-2 11. 0.43-12 36-05 67-07 6.62 0.97 2.33 0.15 44 39-4 2.59 18 90. 13. 45-08 4594 59-14 10.61 1.90 10-1 29. 10. 54. 15-2 23. 12. 51-74 47-05 64-69 5.11 1.01 3.12 0.41 51 39-2 2.40 14 91. 19. 58-22 60-16 58-06 11.81 1.86 11-8 Nov. 5. 16. 37. 44-4 113. 29. 17-75 16-65 61-10 0. 3(i 2.34 7.64 1.17 11 37-8 0.57 12 95. 0.34-14 38-44 55-70 15.69 0.74 31-6 6. 17. 30. 8-7 127. 21. 36-93 35-25 61-68 1.07 2.60 7.77 0.87 07 376 0.36 15 94. 31. 49-15 56-83 52-32 15. 13 0.54 34-3 7. 18. 22. 29-9 141. 32. 35-77 36-58 59-19 2. 15 2.83 7.72 0. 56 08 37-4 0. 19 19 93.46. 7-44 11-32 56 12 14.26 0. 36 1 36-7 10.21. 1.21-4 186. 2. 2-94 6-01 56-93 (i. 91 3.18 6.54 0.05 31 36-6 0.01 32 90. 10. 32-23 32-87 59-36 10.24 0. 10 40-0 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. i. 4-i Sub 30 Sub. 60-00 Sub. 16. si Sub. i. oo 1 Sub. 23-7 2.00 4. 00 [D] 2 [20] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. s .SI J~ 6 JB out 5Ci_ O Oi-3 Kxcess of Observed Longitude. U *j .2-1 2| Change for 0?'l 1 in Argument* Parallactic Inequality. Variation. \\ ^ SC < 5.2 Annual Equation. Evection. Change for OB' I 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N P.O. -s *3? -o~ V ""Z u > f* w % Effect of Mean Inclination. Change for fls-1 1 in Argument. Is f 2 WU 1754. d h m Nov. 18. 3. 35. 35- o / " 290. 50. 30-24 ft 39- IS // 51-0 g 13.9 1.8 \ ^ 1.2 g 1.4 H 28 34-8 1.3 53 o / // 85. 0. 10-41 3-9 6G-5 4. 6!J 1.23 23-5 19. 4.26.31- 304.16.44-11 55-Oi 49-1 13.5 1.6 0.7 1.3 19 34-5 1.6 52 85. 24. 60-72 57-7 62-9 5. IS 1.43 20-2 20. 5. 14. 30- 317. 15. 58-1S 67-0( 51-1 12.7 1.4 0.4 1. 1 11 34-3 1.9 51 86. 3. 32-92 20-3 66-6 5.92 1.59 17-2 21. 5.59.57-6 329. 52. 58'5t 72'4 46-1 11.7 1.2 0.2 0.8 08 34-0 2.2 49 86. 52. 36-34 32-1 64-1 6.85 1.73 14-6 24. 8. 8.14-2 6. 32. 31-38 39-6C 51-7 7.5 0.9 0.7 0.0 20 33-0 2.7 38 89. 56. 20-4C 21-4 58-9 10.30 1.90 9-1 26. 9. 34. 26-6 30. 58. 25-94 24-28 61-6 4.5 1.0 1.9 0.0 40 32-4 2.8 29 92. 3.51-98 56-3 55-6 12.68 1.81 7-5 27. 10. 19. 41-0 43. 25. 37-31 35-05 62-2 3. 1 1.1 2.6 0.2 48 32-1 2.7 25 93. 1. 17-28 21-1 56-1 13.74 1.71 7-5 28. 11. 6. 52-6 56. 6.22-30 21-70 60-6 1.9 1.2 3.4 0.5 53 31-9 2.6 20 93. 50. 43-82 43-1 60-6 14.6 1.57 8-0 29. 11. 56. 6-5 29. 11. 58. 18-5 69. 2. 12-21 69. 3.23-73 13-05 22-47 59-1 61-2 1.0 1.0 1.4 1.46 4.30 4.30 0.8 0.8 54 54 31-6 31-6 2.5 2.5 17 17 94. 29. 9-64 94. 29. 19-62 10-2 13-0 59-4 66-6 15.3 15.3 1.40 1.40 9-1 9-1 30. 12. 49. 21-9 82.14.29-16 35-44 53-72 0.36 1.67 5.11 1. 10 50 31-3 2.3 13 94. 54. 5-89 5-5 60-3 15.7 1.20 10-8 Dec. 1. 13. 41. 41-5 95. 40. 26-83 25-74 61-09 0.05 1.92 5.87 1.4 42 31-0 2.1 11 95. 3. 16-47 17-9 58-5 15.9 0.99 12-9 9. 20. 39. 56-4 210. 2. 13-36 21-02 52-34 9.32 3.11 6.83 o. or 26 28-0 0. 15 20 87.55.11-71 21-4 50-3 7.77 0.19 37-3 17. 3. 5. 11-2 311.22.35-77 33-75 62-02 13.29 1.53 1.59 1.45 34 25-4 0. 62 49 85. 57. 53-54 45- 3C 68-18 5.64 1.54 33-5 18. 3.52.48-8 324. 24. 34-05 33-88 60-17 12.43 1.33 1.01 1.44 24 25-1 0. 88 51 86. 44. 49-62 44-67 64-95 6.54 1.69 30-9 19. 4.37.59-9 337. 4. 19-44 28-88 50-56 11.30 1. 17 0.57 1.28 15 24-8 i. ir 52 87. 40. 18-72 17-57 61-15 7.50 1.80 28-0 20. 5. 21. 26-8 349. 27. 28-66 31-85 56-81 9.98 1.06 0.31 1.03 09 24-4 1.45 53 88. 41. 22-53 23-37 59-16 8.75 1.87 25-2 26. 9.47.47-6 63. 39. 36-06 44-93 51-13 1.58 .34 2.28 0. 14 43 22-1 2.76 37 94. 19. 41-50 42-78 58-72 15.16 1.45 10-1 28.11.31. 2-1 1755. Jan. 3. 16. 51. 43'3 90. 20. 24-20 76. 1.48-76 23-78 54-32 60-42 54-44 0.20 4.77 .76 .11 3.88 7.63 0.70 1.18 54 11 21-5 19-1 2.83 1.78 28 09 94.59.41-46 90. 35. 54-57 43-97 51-07 57-49 63-50 15.92 0.96 1.05 0.11 7'7 16-1 17. 3.58.36-7 56. 30. 52-35 50-10 62-25 9.45 .03 0.81 1.38 19 14-2 0.45 46 89. 33. 58-48 56-41 62-07 9. 59 1.90 37-0 22. 7. 38. 15-9 57. 54. 25-48 24-68 60-80 2.25 .23 0.75 0.09 19 12-7 1.81 52 94. 15.46-10 51-44 54-66 4.93 1.51 24-7 23. 8. 27. 12-6 70. 46. 39-24 43-16 56-08 1.22 .41 1.25 0.00 29 12-4 2. 08 50 94. 46. 46-23 49-39 56-84 5.53 .33 21-7 24. 9. 18. 30-7 84. 2. 22-79 23-61 59-18 0.49 .62 1.88 0.05 39 12-1 2.32 47 95. 3.27-25 30-77 56-48 5.87 . 13 18-7 27.12. 1.37-3 27.12. 3.55-1 26. 16. 38-73 26. 17. 58-75 35-68 56-26 63-05 62-49 0.44 0.44 .38 .38 4.24 4.24 0.86 0.86 54 54 10-9 10-9 2.79 2. 79 30 36 94. 9. 4-35 94. 9. 0-67 10-30 6-15 54-05 54-52 4. 4.95 ). 50 .50 10-5 10-5 31. 15. 39. 24-7 85. 52. 25-84 26-28 59-56 5.41 .15 7.09 1.48 23 9-7 2.62 18 89.30. 11-32 9-38 61-94 9. 83 .10 8-0 Feb. 1. 16. 32. 17-6 00. 43. 59-85 59-43 60-42 7.17 .18 7.49 1.31 14 9-2 2.44 15 88. 11. 59-03 59-68 59-35 8.37 .15 9-3 2. 17. 25. 32 3 15.27.23-12 24-01 59-11 8.91 . 13 7.72 1.05 09 8-9 2. 22 12 87. 1.41-82 39-35 62-47 7.05 .25 11-3 3. 18. 19. 27-2 30. 1.20-17 15-31 154-86 0.54 .01 7.77 0.73 07 8-6 1.97 10 6. 3.37-05 39-46 57-59 5.95 I .40 3-9 Sub. Sub. ub. Sub. Sub. ub. Sub. Sub. ub. Sub. Sub. ub. ! Sub. fio-oo; 7.02 00 4.00 f \ o. 7<; 30 20-8 1.42 30 // o-oo 6.2i .00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [21] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. ".' 11 ~ cr WJ Change for Os-l in Argument. x U '^Z rt l! Variation. Change for fls-1 in Argument. Annual Equation. Evection. Change for OS- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. A* ~d * TjH O u t x fS T3 w P Ii Effect of Mean Inclination. 1 Change for OS- 1 1 in Argument. w .ZOi U 's 1, <. Hid 1755. J h m s O f ii // ft e * \ \ \\ g * i v O t it it // g * \ \\ Feb. 18. 5.30.48-0 52. 35. 60-82 54-86 65-96 3.01 1.15 0.22 0.75 07 4-8 0.50 47 94. 10. 55-85 60-95 54-90 14.70 1.56 38-3 Mar. 22. 7.31.42-1 112. 11.45-48 29-39 76-09 0.04 2.06 0.72 0.10 19 0-2 0.56 48 94. 53. 26-45 18-12 68-33 15.49 0.65 38-9 23. 8. 24. 53-4 126. 10. 41-48 32-03 69-45 0.31 2.31 1.21 0.00 28 o-i 0.81 50 94. 14. 55-77 54-52 61-25 14.79 0.46 37-3 25. 10. 13. 16-8 155. 36. 22-41 15-78 66-63 2.02 2.81 2.55 0.23 47 o-i 1.38 53 92. 8.31-78 28-57 63-21 12.51 0.17 32-2 28. 13. 2. 43-1 202. 24. 24-03 27-28 56-75 6.74 3.18 5.05 1. 16 50 o-o 2.21 49 87. 55. 32-67 32-12 60-55 7.94 0.17 21-2 29. 14. 0. 2-3 218. 7.52-68 59-77 52-91 8.50 3.15 5.82 1.39 43 o-o 2.44 46 86. 40. 58-29 57-71 60-58 6.60 0.30 17-5 April 17. 4.33.38-4 93. 56. 45-24 43-70 61-54 0.42 1.65 0.34 1.07 10 1-0 0.05 24 95. 12. 42-63 35-52 67-11 15.90 0.91 34-3 18. 5.24. 7-6 107. 0. 12-80 13-87 58-93 0.06 1.89 0.23 0.77 07 1-1 0.00 29 94. 58. 38-88 26-57 72-31 15. 62 0.71 36-4 19. 6. 15. 22-0 120. 24. 16-58 16-43 60-15 0.09 2.15 0.29 0.46 09 1-2 0.02 34 94. 27. 60-99 53-90 67-09 15.04 0.52 38-2 20. 7. 7. 9-1 134. 12. 19-83 19-92 59-91 0.51 2.41 0.53 0.20 14 1-4 0.09 38 93.41.19-11 12-14 6(5-97 14.17 0.35 39-4 22. 8.52.25-2 163. 10. 24-46 13-91 70-55 2.50 2.88 1.50 0.01 33 1-6 0.40 46 91. 25. 44-53 39-80 64-73 11.06 0. 13 39-8 25.11.38.31-0 209. 40. 46-53 53-03 53-50 7.40 3. 18 3.76 0.67 54 2-0 1.17 52 87. 20. 31-65 27-33 64-32 7.17 0.24 34-3 26. 12. 39. 23-9 225. 34. 23-88 29-1-2 54-76 9.14 3. 12 4.59 1.00 53 2-2 1.46 53 86. 13. 21-92 17-64 64-28 5.96 0.40 31-1 May 3. 19. 4. 17'6 326. 21. 16-41 15-84 60-57 13.36 1.55 7.74 0.60 08 3-4 2.83 32 87. 14. 22-84 23-08 59-76 7.28 1.77 9-7 4.19.49. 17'1 338. 57. 50-48 46-97 63-51 12.53 1.35 7.53 0.32 12 3-6 2.82 27 88. 15. 56-78 52-63 64-15 8.43 1.86 8-4 17. 5. 2. 7-1 129. 26. 31-47 41-04 50-43 0. 21 2.25 0.27 0.94 08 6-0 0.25 17 93. 47. 32-52 29-18 6334 14.40 0.39 28-0 18. 5.52.51-0 143. 10. 8-49 16-51 51-98 0.78 2.51 0.24 0.62 08 6-8 0.11 21 92. 52. 26-95 21-24 65-71 13.35 0.25 31-1 19. 6.43.46-3 157. 15. 0-12 0-64 59-48 1.73 2.75 0.37 0.33 11 7-0 0.03 26 91. 45. 32-08 29-76 62-32 12.09 0.15 33-9 20. 7. 35. 15-7 171. 43. 14-55 4-16 70-39 3.02 2.95 0.69 0. 11 18 7'3 0.00 30 90. 30. 19-20 11-00 68-20 10.66 0.10 36-4 22. 9.22. 9-6 201. 49. 67-45 58-87 68-58 6.29 3.17 1.83 0.04 38 8-0 0.12 39 87. 53. 33-65 17-76 75-89 7.73 0.19 39-6 23. 10. 18. 32-9 217. 22. 12-55 19-41 53-14 8.06 3.16 2.55 0.22 47 8-3 0.27 43 86. 43. 44-37 42-79 61-58 6.43 0.33 40-0 26. 13. 19. 46-7 264. 12. 14-00 16-83 57-17 12.52 2.71 5.00 1.14 51 9-1 0.96 51 84. 57. 34-29 21-36 72-93 4.50 0.97 35-9 27. 14. 18. 51-0 279. 15.29-18 30-49 58-69 13.41 2. 46 5.77 1.39 43 9-3 1.25 52 85. 4.29-28 14-58 74-70 4.65 1.21 33-3 28. 15. 15. 22-6 293. 48. 29-61 25-45 64-16 13.90 2. 20 6.45 1.51 34 9-6 1.55 53 85. 30. 28-73 20-28 68-45 5.16 1.42 30-2 29. 16. 8. 36-8 307. 48. 25-02 23-59 61-43 14.00 1.93 7.02 1.49 23 10-1 1.83 52 86. 11. 68-55 58-42 70-13 5.96 1.60 27-0 1 June 1. 18. 30. 1-4 346. 54. 56-30 59-08 57-28 12.14 1.28 7.78 0.77 07 11-0 2.54 44 89. 10.23-13 14-21 6892 9.35 1. 8sl 17-7 2. 19. 13. 10-8 359. 17. 3-87 0-74 63-13 10.96 1.14 7.67 0.46 10 11-3 2.69 40 90. 15. 55-85 50-16 65-69 10.59 1.90 15-2 3. 19. 55. 38-9 11. 29. 17-31 16-27 61-04 9.59 1.04 7.39 0.22 16 11-5 2.79 35 91.19.49-18 40-23 62-95 11 80 1.86 12-9 16. 5.31. 5-8 166. 53. 47-75 51-92 55-83 2.19 2.84 0.23 0.79 07 15-7 0.60 12 !)0. 40. 66-40 59-67 66-73 11. 00 0.11 21-4 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. Sub. Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 10. 21 Sul. i. oo Sub. 23-7 2.00 4.00 0. 76 30 [22] EEDTJCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. -s.s 2 ~ 3 j "8> gH c -c<~ 1-3 Excess of Observed Longitude. .' .-1 = cr K j= Change for Os-1 1 in Argument. Parallactic Inequality. Variation. Change for OK- 1 in Argument. Annual Equation. Evection. Change for OS'l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. 3 O.S- x tatjO = MO: Cfl . 8z 3s s * H *a M * |i.S S "1 Change for Os-1 in Argument. \* .9 * U t-^ p f-< UU 1755. d h m June 19. 8. 7. 3'1 o / " 210. 49. 10-71 n 15-90 n 54-81 s * 6.96 \ v\ 3.18 0.90 8 v 0.04 22 16-7 s * 0.08 >\ 22 Q 1 II 87. 1.21-81 ff 15-24 // 66-57 s * 6.83 \ \\ 0.28 \ 31-8 20. 9. 2. 40-7 225.59. 4-71 15-06 49-65 8.72 3.14 1.46 0.00 32 17-0 0.01 27 86. 3.57-27 52-81 64-46 5.74 0.44 34-7 21.10. 0.27-3 241. 18. 6-62 7-15 59-47 10.37 3.03 2.13 0. 11 42 17-6 0.00 31 85. 22. 55-43 53-78 61-65 4.96 0.65 37-2 24. 12. 59. 53-6 286. 42. 42-21 40-77 61-44 13.64 2.36 4.59 0.98 53 18-6 0.32 44 85. 22. 30-48 26-78 63-70 4.92 1.34 39-9 25. 13. 55. 40-0 301. 10. 21-47 17-27 64-20 13.99 2.10 5.40 1.27 48 18-9 0.52 48 86. 0.35-65 27-20 68-45 5.63 1.54 39-3 July 4.20.47. 0-3 55. 44. 14-74 19-81 54-93 4.51 1.04 6.71 0.05 29 22-1 2.72 39 94. 28. 60-04 58-73 61-31 15. 26 1.42 17-2 14. 4. 19. 39-3 176. 56. 38-48 30-02 68-46 2.69 2.91 0.48 1.23 13 25-2 1.61 08 89. 33. 57-10 51-32 65-78 9. 85 0.10 10-4 15. 5.10.36-4 191.23. 6-96 8-56 58-40 4.19 3.07 0.27 0.95 08 25-9 1.33 08 88.18.26-14 23-58 62-56 8.43 0.14 12-8 18. 7.51.10-5 235. 33. 50-24 67-00 43-24 9.36 3.11 0.69 0. 12 18 26-8 0.54 13 85.25.48-12 43-42 64-70 5.14 0.59 22-4 20. 9.45.59-0 265.20. 2-71 18-94 43-77 12.25 2.76 1.78 0.04 37 27-4 0.17 19 84. 54. 47-79 43-37 64-42 4.50 1.04 29-7 24. 13. 27. 36-6 322.31. 9-84 9-39 60-45 13. 82 1.75 4.94 1. 13 51 28-9 0.07 37 87. 31. 45-76 41-72 64-04 7.33 1.78 39-0 25.14.16. 1-3 335. 53. 60-86 54-20 66-66 13.27 1.52 5.72 1.37 44 29-2 0.19 41 88. 38. 23-97 18-23 65-74 8.55 1.86 39-8 30. 17. 56. 20-2 38. 29. 23-56 19-05 64-51 6.96 0.97 7.78 0.80 07 30-9 1.40 53 93. 47. 59-36 69-35 50-01 14.33 1.62 35-6 31. 18. 40. 53-5 50. 43. 43-60 47-52 56-08 5.43 1.00 7.69 0.49 09 31-2 1.69 52 94. 27. 31-99 33-71 58-28 15.08 1.47 33-3 Aug. 14. 5. 47. 7-2 231. 3.64-56 56-01 68-55 8.31 3.16 0.24 0.80 07 34-8 1.82 09 85.27.22-12 1-67 80-45 5.29 0.54 9-2 15. 6.42.40-9 245. 45. 32-11 35-94 56-17 9.99 3.06 0.27 0.49 09 35-3 1.54 08 84. 56. 58-68 47-88 70-80 4.71 0.76 11-2 16. 7.39. 4-6 260. 21. 14-38 22-41 51-97 11.47 2.89 0.48 0.22 14 35-5 1.25 08 84. 46. 30-25 22-43 67-82 4.50 0.98 13-5 17. 8.35.33-1 274. 48. 17-37 28-04 49-33 12.60 2.68 0.90 0.05 22 35-7 0.97 09 84. 55. 59-45 57-31 62-14 4.65 1.21 16-5 18. 9.31. 9-4 289. 3.38-78 53-11 45-67 13.49 2.43 1.46 0.00 32 36-0 0.71 11 85. 24. 12-65 16-30 56-35 5.15 1.42 19-9 19.10.25. 3-8 303. 4.50-39 51-84 58-55 13.94 2.16 2.13 0.10 42 36-2 0.47 14 86. 8.44-49 45-64 58-85 5.94 1.60 23-2 21.12. 5.54-2 330. 15. 36-02 40-36 55-66 13.65 1.66 3.70 0.63 54 36-6 0. 13 21 88. 11. 39-21 39-82 59-39 8.15 1.84 29-5 21.12. 8. 3-2 330. 16. 43-39 49-50 53-89 13.65 1.66 3.70 0.63 54 36-6 0.13 21 88. 11. 53-21 45-80 67-41 8.15 1.84 29-7 22.12.55. 08 343.25. 5-57 6-30 59-27 12.97 1.44 4.53 0.96 53 37-0 0.04 25 89. 21. 63-71 59-49 64-22 9.43 1.89 32-4 24. 14. 24. 11-2 8. 52. 16-68 13-54 63-14 10.79 1.12 6.07 1.45 40 37-4 0. 01 34 91. 40. 44-52 40-20 64-32 11.96 1.86 36-7 Sep. 13. 6. 31. 14-6 270. 28. 11-01 11-34 59-67 11.97 2.82 0.23 0.65 07 405 2.25 12 84. 47. 39-83 24-73 75-10 4.59 1.16 7-5 14. 7.26.38-4 284.39.26-14 28-07 58-07 13.02 2.58 0.35 0.35 11 40-7 2.01 10 85. 10. 33-52 33-05 60-47 5.01 1.37 8-1 15. 8.20.17-1 208. 32. 47-98 48-72 59-26 13.71 2.33 0.66 0.12 17 40-8 1.74 09 85. 50. 20-25 17-72 62-53 5.74 1.56 9-4 16. 9.11.44-5 312. 8.42-67 41-20 61-47 14.00 2.06 1.13 0.01 27 40-9 1. 4o 08 86. 43. 25-72 24-49 61-23 6.70 1.71 11-3 17. 10. 0. 54-5 325.28. 3-02 4-38 58-64 13. 9C 1.8 1.73 0. OS 37 41-0 1. 1" 08 87. 46. 14-07 12-58 61-49 7.83 1.82 13-7 Sub Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. 60-00 7.02 2. 00 4.00 6.76 30 20-8 e 1.42 30 (50-00 10.21 i. ob 23-7 | SECT. III. COMPARISON OF Mood's OBSERVED AND TABULAR PLACE. [23] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. o ." 5 | \\ ir be a a u.3 Parallactic Inequality. Variation. Change for 0-1 in Argument. 11 *| Evection. Change for 0* - I I in Argument. 1 Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. tf. 2 -go w o; s-g B 4J +-7 5 > -* r3 % W en Effect of Mean Inclination. Change for Os- 1 I in Argument. A 1 A . %Z ww 1755. " " "' ' O f tf tf a a * . \ \\ a ' < g * Of" tr n g " V V, \ Sep. 18.10.47.59-8 338. 32. 19-15 15-78 63-37 13.43 1.57 2. 44 0.19 46 41-1 0.90 10 88. 54. 55-41 54-34 61-07 9. 10 1.88 16-3 27. 17. 35. 57-9 90. 21. 55-52 52-55 62-97 1.80 1. 30 7.78 0.82 07 41-5 0.27 43 95. 11. 24-63 27-93 56-70 15.83 0.83 38-6 29. 19. 15. 59-7 116. 15. 6-96 9-83 57-13 0.28 1.71 7.44 0.25 15 41-6 0.71 50 94. 15. 57-43 63-82 53-61 14.79 0.46 40-0 Oct. 1.20.59.17-4 143. 45. 24-71 29-93 54-78 0.17 2.22 6.45 0.06 33 41-6 1.26 52 92. 21. 18-44 19-56 58-88 12.67 0.19 38-9 10. 4. 24. 46-0 265. 36. 54-47 70-30 (44 17) 11. 14 2.94 0.69 1.34 17 41-4 2.83 31 84. 47. 27-00 28-66 (58'34) 4.54 1.11 14-1 15. 8.45.53-1 334. 24. 30-83 21-72 69-11 13.76 1.71 0.87 0.05 22 41-0 2.19 11 88. 35. 10-51 9-83 60-68 8.82 1.87 7-5 16. 9.31.11-6 347. 10. 34-12 29-19 64-93 13. 17 1.49 1.41 0.00 32 40-9 1.94 09 89.44. 0-52 3-09 57-43 10.10 1.90 8-0 17. 10. 15. 12-9 359. 44. 64-88 54-30 70-52 12. 26 1.30 2.08 0.09 41 40-8 1.67 08 90. 52. 29-07 32-81 56-26 11.35 1.88 9-0 22. 13. 56. 56-3 61. 13.22-02 23-92 58-10 5.23 1.00 6.02 1.44 40 40-3 0.37 15 94. 53. 32-31 33-02 59-29 15.69 1.26 19-9 24. 15. 30. 51-9 85. 50. 30-51 19-54 70-97 2.50 1.20 7.19 1.45 21 39-9 0.08 23 95. 7. 9-36 14-04 55-32 15.88 0.88 25-8 25. 16. 19. 15-4 98. 20. 4-47 5-99 58-48 1.42 1.37 7. 56 1.26 13 39-8 0.01 27 94. 52. 23-03 28-78 54-25 15.57 0.69 28-5 28.18.48. 0-7 137. 23. 39-76 41-70 58-06 0.04 2.06 7.60 0.38 11 39-4 0. 16 40 92. 43. 33-24 36-03 57-21 13.11 0.22 36-3 Nov. 9. 5. 3.39-2 303. 16. 38-26 60-44 37-82 13.58 2.39 0.53 1.25 14 37-0 2.73 38 86. 22. 32-94 30-61 62-33 6.25 1.65 20-2 10. 5.55.21-5 317. 1.21-36 38-01 43-35 13.97 2. 12 0.29 0.98 09 36-8 2.81 34 87.20. 2-51 1-47 61-04 7.35 1.78 17-0 \l. 6.43.57-6 330 18. 10-02 11-21 58-81 13.96 1.86 0.23 0.67 07 36-6 2.83 29 88. 24. 23-94 25-39 58-55 8.57 1.86 14-1 12. 7.30. 1-1 343.11.58-21 55-81 62-40 13.57 1.62 0.34 0.37 10 36-4 2.79 25 89. 31. 56-46 54-52 61-94 9.85 1.90 11-8 13. 8. 14. 16-1 355. 48. 30-79 26-00 64'79 12. 86 1.42 0.63 0. 13 17 36-2 2.70 21 90. 39. 12-13 12-21 59-92 11.10 1.89 10-1 15. 9. 40. 18-7 20.30. 6-83 2-40 64-43 10.61 1. 11 1.68 0.03 36 35-5 2.36 14 92. 41. 55-64 57-96 57-68 13.40 1.75 7-8 22. 15. 4. 57-0 106. 52. 18-17 24-36 53-81 1.08 1.44 6.91 1.50 26 33-8 0.53 13 94. 21. 41-20 44-22 56-9815.14 3 0.54 15-4 23. 15. 53. 55-6 119. 37. 27-47 32-76 54-71 0.40 1.65 7.37 1.38 17 33-2 0.32 16 93.42. 3-56 6-35 57'21 14.38 0.38 18-2 25.17.31.49-5 145. 51.39-71 46-06 53-65 0. 10 2.16 7.77 0.84 07 32-7 0.06 24 91. 48. 16-08 15-98 60-10 12.21 0.16 24-2 26. 18. 21. 0-6 159.29. 6-11 6-17 59-94 0.54 2. 42 7.71 0.53 09 32-4 0.00 28 90. 38. 28-77 24-48 64-29 10. 88 0.11 27-5 Dec. 9. 5.26. 2"2 338. 28. 27-74 34-59 53-15 13. 86 1.77 0.38 1.13 11 28-3 2.47 45 89. 22. 56-34 63-00 53-34 9.51 1.89 27-3 10. ti. 11.46-3 351. 24. 48-90 54-55 54-41 13.34 1. 54 0.24 0>84 07 28-0 2.64 41 90. 31. 25-36 25-52 59-84 10.81 1.90 24-2 13. 8. 21. 39-9 28. 37. 37-51 38-02 59-49 10.10 1.07 0. 84 0.00 21 27-0 2.83 28 93. 26. 68-24 57-14 71-10 14. 15 1.65 15-9 14. 9. 5. 3-7 40.48.56-12 54-00 62-12 8. 65 1.00 1.37 0.00 31 26-7 2.78 24 94. 8.21-45 25-49 55-96 14.94 1.51 13-3 16. 10. 35. 14-0 65. 17. 56-68 56-52 60-16 5. 59 0.99 2.77 0.29 49 26-1 2. 51 16 94. 55. 46-45 49-33 57-12 15. 85 1.15 9-7 17. 11. 22 . 2i-6 77. 40. 50-29 55-45 54-84 4.12 1.06 3.58 0.58 53 25-4 2.31 13 94. 59. 27-41 22-98 64-43 15, 93 0. 9b 8-4 20.13.51.30-5 115. 39. 7-63 16-78 50-85 0.78 1.52 5.97 1.43 41 24-4 1.52 08 93. 44. 53-60 56-35 57-25 14. 55 0.41 7-8 Sub. Sub. Sub Sub. : Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. 6o"oo 7. 0-i 2. oV 4. 00 0. 76 30 20-8 '. f 1. 42 30 6o'-00 10. 21 i. oo 2:J-7 1755. Oct. 10. The Moon's Observed Z.D. has been decreased 2 Verniers. [24] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. s-Ts 5 5- Change for 0*-1 1 in Argument. Parallactic Inequality. Variation. Change for 0-1 1 in Argument. Annual Equation. Evection. Change for 08- 1 in Argument. Ecliptic N. P. n. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P. D. o ^* O LJ " ^ Effect of Mean Inclination. Change for OK- 1 in Argument. .Ifc Jz 1755. '*} Dec. 21. 14. 40. 48'7 Off 128. 36. 32-93 n 42-02 n 50-91 t v 0.23 1.74 \ \\ 6.63 g * 1.52 \\ 31 24-1 e * 1.23 \\ 08 Of" 92.54. 7-12 9-32 rr 57-80 s N 13.60 0.27 8-7 23. 16. 18. 18-6 155. 6.40-80 48-65 52-15 0.22 2.26 7.53 1.28 13 23-5 0.70 11 90.45. 0-31 5-82 54-49 11.17 0.11 12-2 27. 19. 38. 49-5 211. 42. 44-38 44-51 59-87 4.62 3.10 7.28 0.17 18 21-8 0.04 25 86. 13. 40-75 33-16 67-59 6.02 0.39 24-5 28. 20. 33. 52-9 226.48. 4-22 11-34 52-88 6.34 3.17 6.79 0.06 27 21-5 0.00 29 85. 28. 52-93 47-10 65-83 5. 15 0.59 28-3 1756. Jan. 7. 4.50.32-2 358. 53. 24-21 27-41 56-80 13.06 1.46 0.55 1.26 14 18-1 1.79 52 91. 26. 26-49 28-40 58-09 11.69 1.87 36-4 10. 7. 1.30-8 36. 17. 13-59 17-87 55-72 9.56 1.04 0.33 0.39 10 16-8 2.51 44 94. 7.50-59 55-87 54-72 14.75 1.55 29-2 13. 9.17. 4-3 73. 2.57-20 63-54 53-66 5.02 1.01 1.63 0.02 35 15-8 2.83 32 95. 6.38-71 43-11 55-60 15.93 1.01 20-7 15. 10. 54. 12-0 98. 11. 15-88 17-23 58-65 2.33 1.22 3.12 0.42 51 15-2 2.75 23 94. 35. 31-79 3-3-60 56-19 15.41 0.63 15-2 16. 11. 44. 8-4 111. 3.11-40 18-73 52-67 1.29 1.39 3.94 0.74 54 14-9 2.63 19 93. 58. 22-33 25-48 56-85 14.75 0.45 12-8 18. 13. 26. 29-7 137. 25. 50-45 64-39 46-06 0.11 1.84 5.56 1.33 46 13-9 2.25 12 92. 6.41-38 43-76 57-62 12.72 0.19 9-0 19. 14. 16. 1-3 150. 54. 55-74 64-39 51-35 0.05 2.10 6.27 1.49 36 13-6 2.00 10 90. 57. 13-68 15-60 58-08 11.45 0.12 7-9 20. 15. 5. 8-8 164. 35. 47-84 60-23 47-61 0.39 2.36 6.87 1.51 26 13-3 1.73 09 89. 43. 22-13 19-84 62-29 10.08 0.10 7-4 21. 15. 54. 13-3 178.29. 3-47 13-79 49-68 1.13 2.61 7.34 1.39 17 13-0 1.45 08 88. 29. 12-07 8-28 63-79 8.70 0.13 7-6 23. 17. 34. 31-1 206. 55. 23-55 33-08 50-47 3.62 3.02 7.77 0.86 07 12-4 0.89 10 86. 18. 13-37 6-75 66-62 6.25 0.35 10-1 25. 19. 21. 49-9 236. 17. 36-04 36-23 59-81 7.02 3.18 7.49 0.27 14 11-5 0.41 14 84. 59. 31-96 27-78 64-18 4.73 0.74 15-2 Feb. 5. 4.11.52-0 18. 40. 23-60 20-70 62-90 11.69 1.22 0.75 1.37 19 8-4 1.00 52 93. 11. 55-77 58-11 57-66 13.60 1.72 40-0 7. 5.39.51-9 43. 30. 47-55 49-33 58-22 9.01 1.01 0.25 0.86 08 7-8 1.58 52 94.39. 0-00 7-75 52-25 15.23 1.43 38-9 8. 6.24.32-4 55. 45. 35-33 42-17 53-16 7.49 0.07 0.26 0.55 08 7-6 1.86 51 95. 3.41-27 45-29 55-98 15.70 1.25 37-7 10. 7.57.21-1 80. 21. 44-97 55-51 49-46 4.48 1.04 0.81 0.07 20 6-8 2.36 47 95. 10. 59-06 62-11 56-95 15.87 0.87 33-9 11. 8.45.45-3 92. 52. 52-33 57-66 54-67 3.10 1. 14 1.33 0.00 30 6-6 2.56 43 94. 52. 40-24 46-24 54-00 15.56 0.68 31-3 13. 10. 25. 33-4 118. 38. 54-08 60-35 53-73 0.97 1.47 2.71 0.27 48 6-1 2.80 35 93.32.56-17 56-00 60-17 14.15 0.35 25-5 14. 11. 16. 9-8 131. 57. 47-70 55-43 52-27 0.33 1.69 3.52 0.56 53 5-9 2.83 30 92. 33. 34-22 30-90 63-32 13.08 0.22 22-4 16. 12. 59. 22-4 159. 29. 10-22 19-33 50-89 0.14 2.20 5.17 1.20 49 5-4 2.73 21 90. 8. 8-77 10-40 58-37 10.45 0.10 16-1 19. 15. 31. 32-1 202. 29. 16-87 21-15 55-72 2.73 2.92 7.12 1.47 22 4-6 2.18 11 86. 29. 45-65 42-60 63-05 6.47 0.32 9-0 21. 17. 17. 56-9 231. 50. 25-81 28-80 57-01 5.93 3.16 7.73 1.02 08 4-2 1.65 08 85. 0. 34-63 28-01 66-62 4.83 0.70 7-4 22.18.13.34-1 246. 35. 37-37 39-65 57-72 7.69 3.17 7.76 0.71 07 4-0 1.37 08 84. 43. 59-43 54-07 65-36 4.52 0.92 7-8 Mar. 9. 6. 37. 3-0 87. 29. 55-56 60-81 54-75 3.94 1.07 0.31 0.41 10 1-3 1.36 53 95. 3.50-50 55-56 54-94 15.69 0.74 40-0 12. 9. 4.49-1 125. 46. 57-95 61-23 56-72 0.69 1.55 1.59 0.01 35 0-9 2.19 49 93. 2.55-35 55-34 60-01 13.48 0.26 37-2 13. 9.55.12-4 139. 11. 53-02 55-38 57-64 0.18 1.78 2.28 0.15 44 0-8 2.42 46 91. 57. 52-58 51-27 61-31 12.29 0.16 35-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60 /; 00 7.02 2. 00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [25] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. fch O . S-l ~ o* a g Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. Annual Equation. Evection. Change for O&'l in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. j.S O.sx l^ fl* Effect of Mean Inclination. Change for fls-1 in Argument. 1 IS O *-7 U f- eSfij 1756. * O / II // it g * , \ u g * f t It II n g " V > Mar. 16. 12. 30. 40-0 181. 47. 32-37 39-26 53-11 0.92 2.56 4.71 1.04 52 0-5 2.81 34 88. 7.44-53 40-74 63-79 8.11 0.16 26-0 20. 16. 8. 19-8 241. 54. 39-88 36-87 63-01 6.60 3.18 7.34 1.40 17 0-2 2.54 17 84. 48. 50-89 48-20 62-69 4.55 0.87 12-6 Apr. 9. 7. 43. 57-2 132. 55. 57-50 66-30 51-20 0.46 1.63 0.78 0.08 19 0-3 1. 14 52 92. 23. 20-09 15-88 64-21 12. 74 0. 19 39-4 10. 8.33.29-5 146. 18. 7-11 8-08 59-03 0.07 1.87 1.29 0.00 29 0-4 1.43 53 91. 15. 32-77 26-12 66-65 11.47 0. 12 39-9 11. 9.23.33-0 160. 7. 22-83 26-45 56-38 0.08 2.13 1.93 0.06 39 0-5 1.73 52 90. 1. 14-59 6-45 68-14 10.10 0.10 39-9 12. 10. 14. 26-9 174.26. 1-99 2-32 59-67 0.47 2.39 2.66 0.25 48 0-6 2.00 51 88. 44. 25-85 18-46 67-39 8.68 0.13 39-0 13. 11. 6. 34-9 189. 13. 6-27 14-06 52-21 1.25 2.65 3.46 0.54 53 0-7 2.25 48 87.30.17-73 1 1-65 66-08 7.31 0.22 37-5 14. 12. 0. 24-2 204. 24. 57-04 64-12 52-92 2. 39 2.87 4.30 0.87 54 0-8 2.47 45 86.24.61-01 42-57 68-44 6.12 0.37 35-0 14. 12. 2. 42-2 204. 26. 25-79 29-36 56-43 2.40 2.87 4.30 0.87 54 0-8 2.47 45 86. 24. 44-32 37-07 67-25 6.11 0.37 35-0 22. 19. 37. 34-2 324. 1.50-52 52-04 58-48 13.73 2. 32 7.63 0.42 10 1-7 2.29 13 88. 36. 57-49 57-04 60-45 8.80 1.87 9-8 May 7. 6. 24. 53'1 140. 34. 43-58 41-00 62-58 0.27 1.72 0.30 0.43 09 4-4 0.25 43 91.32.34-13 29-08 65-05 11.89 0. 14 30-6 8. 7. 13. 15-9 153. 49. 54-30 48-22 66-08 0.03 1.97 0.55 0.18 15 4-6 0.44 46 90.23.31-61 25-22 66-39 10.58 0. 10 33-5 10. 8.52.24-4 181. 45. 52-32 48-00 64-32 0.72 2.49 1.55 0.01 34 5-0 0.93 51 87. 58. 45-14 34-37 70-77 7.85 0. 18 37-9 11. 9.44.21-8 196. 32. 0-61 2-17 58-44 1.64 2.73 2.23 0.14 44 5-2 1.22 52 86.51. 59-99 50-09 69-90 6.59 0.30 39-3 12. 10. 38. 43-9 211.48.41-77 46-68 55-09 2.91 2.94 3.00 0.38 51 5-6 1.51 53 85. 56. 25-33 15-19 70-14 5.55 0.48 40-0 13. 11. 35. 53-0 227. 29. 30-21 36-42 53-79 4.45 3.09 3.82 0.70 54 5-9 1.80 52 85. 17. 32-31 26-08 66-23 4.83 0.70 39-8 15. 13. 39. 44-4 259. 20. 34-98 32-24 62-74 7.95 3. 17 5.51 1.31 46 6-3 2.32 47 85. 5.21-65 13-87 67-78 4. 03 1.19 36-6 16. 14. 4-1. 37-5 275. 2.50-93 43-82 67-11 9.66 3.09 6.22 1.48 37 6-6 2.53 44 85. 32. 60-44 57-05 63-39 5.16 1.42 33-9 17.15.42. 0-2 290. 21. 27-75 26-31 61-44 11.19 2.93 0. 83 1.51 27 6-8 2.68 40 86.19.31-55 23-82 67-73 6.05 1.62 30-6 20. 18. 24. 4-2 333. 14. 33-73 36-65 57-08 13.88 2.22 7.76 0.88 07 7-8 2.82 27 89. 39. 24-57 24-65 59-92 9.85 1.90 20-7 21. 19. 11. 45-0 346. 35. 57-90 57-08 60-82 14.01 1.95 7.73 0.57 08 8-0 2.74 22 90. 49. 57-09 53-47 63-62 11. 19 1.89 17-5 June 3. 4. 20. 55-6 136. 3. 53-59 59-21 54-38 0.60 1.58 0.44 1. 19 12 11-5 0.09 22 91. 40. 18-69 6-37 72-32 12. 18 0.15 14-8 5. 5.55.39-0 162. 6.20-36 26-89 53-47 0.04 2.07 0.25 0.59 08 12-4 0.00 31 89. 24. 10-07 9-84 60-23 9.60 0. 10 20-4 6. 6. 43. 39-0 175. 41. 53-11 44-34 68-77 0. 33 2.33 0.40 0.30 12 12-7 0.04 35 88. 14. 26-30 19-32 66-98 8.28 0.15 23-7 8. 8.24.18-8 204. 21. 58-27 55-61 62-66 2.08 2. 82 1.25 0.00 29 13-3 0.29 44 86.11.21-17 9-76 71-41 5.93 0.41 30-4 10. 10. 15. 59-2 235. 4. 18-82 25-19 53-63 5.07 3. 13 2.60 0.24 47 13-9 0.74 50 85. 2.57-57 51-84 63-73 4.59 0.83 36-4 17.17. 7.13-1 341. 42. 35-23 34-55 60-68 13.97 2.12 7.49 1.31 14 16-4 2.58 43 90. 39. 35-27 27-98 67-29 10. 85 1.90 33-5 18. 17. 54. 35-6 355. 7.58-15 61-03 57-12 13.95 1.86 7.72 1.05 09 16-7 2.72 39 91.48.47-60 40-92 6668 12.16 1.85 30-9 19. 18. 39. 55-1 8. 9. 12-57 8-95 63-62 13.56 1.62 7.77 0.74 07 17-3 2.80 35 92. 50. 10-82 6-58 64-24 13.33 1.75 28-0 20. 19. 24. 2-5 20. 51. 25-53 26-84 58-69 12. 83 1.41 7.64 0.43 10 17-6 2.83 30 93.41.27-59 31-36 56-23 14.31 1.63 25-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60*00 7.02 2.00 4.00 0. 76 \\ 30 20-8 g \ 1.42 Jilt co'-oo 10.21 1 . 00 23-7 GREENWICH LUNAR REDUCTIONS. [E] [26] SEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. ||i SH c CC u- c _: Excess of Observed Longitude. "I JM 5 1" Change for 0?- 1 I in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. "S-2 Evection. Change for 08-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. 2J-d Effect of Mean Inclination. Change for Os-1 1 in Argument. Evection in E. N.P.D. 1756. d " m ' June 21.20. 7. 47'5 O f ff 33. 20. 20-88 1686 64-03 g v 11. 82 1.24 7.34 g > 0.20 16 17-9 g ' 2.80 V* 25 O / ff 94.21.21-35 ft 19-82 61-53 f ^ 15.08 1.47 21-9 22.20.51.48-4 46. 40. 24-73 25-29 59-44 10.57 1.11 6.87 0.07 25 182 2.72 21 94. 48. 38 94 24-20 74-65 15.61 1.30 19-2 July 4. 5.28. 0'2 184.41.56-43 58-44 57-99 0.55 2.43 0.23 0.76 07 22-1 0.18 19 87. 17. 35-63 26-49 C9-14 7.33 0.22 11-7 5. 6.16.54-1 198. 40. 52-28 47-14 65-15 1.38 2.68 0.29 0.45 09 227 0.07 23 86. 18. 63-47 50-87 72-60 6.22 0.36 14-1 6. 7. 7.56-4 213. 6.11-22 14-26 56-96 2.57 2.89 0.53 0.19 15 23-0 0.01 28 85. 32. 24-24 15-48 68-75 5.32 0.54 17-2 9. 9. 59. 14-9 258. 52. 58-07 60-09 57-98 7.50 3. 18 2.23 0.13 43 240 0. 18 41 85. 3.56-21 49-67 66-54 4.68 1.23 28-3 10.11. 1.19-7 274. 38. 11-87 4-29 67-58 9.24 3.11 3.00 0.37 50 24-3 0.35 45 85. 38. 18-77 14-20 64-57 5.28 1.46 31-8 11.12. 3.28-2 11.12. 5.54-6 290. 19. 54-40 290. 21. 33-27 52-86 24-20 61-54 69-07 10. 83 |10 81 2.98 2.98 3.82 3.82 0.68 0.68 54 54 24-6 24-6 0. ofi 0. 56 43 48 86. 32. 19-71 86. 32. 26-70 16-07 22-14 63-64 64-56 6. 2C 6. 21 1.65 1.65 34-9 34-9 Aug. 1. 4. 14.27-9 194. 18.63-65 57-09 66-56 0.82 2.53 0.46 1.20 13 31-5 1.00 09 86. 27. 29-66 13-26 76-40 6.4 3.33 7-5 3. 5.55.21-6 222. 44. 43-68 40-97 62-71 3.10 2.96 0.24 0.61 08 320 0. 50 13 85. 2. 17-09 7-77 69-32 4.84 3.69 8-4 5. 7.46.25-5 252. 25. 24-10 32-62 51-48 6.40 3.17 0.72 0.10 18 328 0. 15 20 84. 49. 61-48 54-95 60-53 4.58 1.15 12-2 6. 8.45.44-0 267.37.51-53 5527 56-26 8.17 3.16 1.21 0.00 28 33-1 0.05 24 85. 15. 49-50 45-80 63-70 5.02 1.38 15-2 8. 10. 46. 27-9 298. 14.49-06 32-11 76-95 11.36 2.91 2.65 0.23 47 33-6 0.02 34 87. 5. 8-36 2-46 65-90 6.98 1.74 22-2 9.11.44.47-3 313. 21. 55-43 55-45 59-98 12.58 2.69 3.41 0.51 53 338 0.09 38 88. 19. 44-52 48-69 55-83 8.33 1.85 26-0 10. 12. 42. 37-5 328. 13. 0-00 2-87 57-13 13.44 2.45 4.24 0.84 54 34-1 0.22 42 89. 40. 18-70 11-30 67-40 9.78 1.90 29-5 12. 14.24.41-5 356. 40. 54-44 51-10 63-34 13. 99 1.92 5.82 1.39 43 34-6 0.63 49 92. 13. 27-67 26-55 61-12 12.57 1.82 35-2 13.15.12. 8-3 10. 15.64-62 56-60 68-02 13.69 1.68 6.49 1.51 33 35-0 0. 89 51 93. 17. 16-38 15-56 60-82 13.73 1.71 37-2 14. 15. 58. 6-2 23.26.62-21 57-46 64-75 13.04 1.46 7.06 1.48 23 35-3 1.17 52 94. 8.38-96 37-71 61-25 14.67 1.56 38-8 15. 16. 43. 18-9 36. 17. 27-89 21-01 66-88 12.09 1.28 7.47 1.33 15 35-5 1.46 53 94.46. l-5'> 3-87 57-68 15.36 1.39 39-7 28. 2.11.55-6 189. 58. 14-48 6-82 67-66 0.41 2.37 1.68 1.44 35 38-2 2.28 12 86. 43. 60-33 56-50 63-83 6.65 0.30 16-3 31. 4.45.25-8 232. 56. 36-80 22-50 74-30 3.68 3.03 0.34 1.08 10 38-8 1.49 09 84.46.61-42 54-02 67-40 4.56 0.87 9-2 Sep. 1. 5.40.36-9 247. 37. 23-18 20-51 62-67 5.32 3.14 0.23 0.77 07 39-0 1.20 08 84. 44. 58-98 45-91 73-07 4. 53 1.10 7-9 2. 6.37.48-1 262. 25. 19-88 19-26 60-62 7.07 3.18 0.29 0.46 09 39-1 0.92 09 85. 3. 29-03 21-19 67-84 4.88 1.32 7-4 3. 7.36.15-2 277. 17. 8-83 6-93 61-90 8.82 3.14 0.53 0.20 14 39-3 0.67 11 85.41.48-33 46-64 61-69 5.58 1.53 7-8 6.10.27.49-8 321.34.2234 21-07 61-27 12.95 2.60 2.18 0.12 43 39-8 0.11 21 89. 3. 21-89 28-04 53-85 9.26 1.89 13-1 7.11.20.52-8 335. 59. 37-72 34-68 63-04 13.67 2.35 2.94 0.35 50 40-0 0.03 26 90.22.50-19 56-64 5355 10.71 1.90 16-1 9. 13. 2. 13-7 3. 58. 59-48 64-74 54-74 13.92 1.83 4.59 1.00 53 40-2 0.03 35 92.48.21-22 21-08 60-14 13.34 1.75 22'4 11. 14. 35. 23-3 30.38. 4-13 1-41 62 72 12. 71 1.39 6.12 1.46 39 40-4 0.27 43 94. 29. 59-90 62-23 57-67 15.16 1.45 28-7 Sub. Sub. Sub. Sub. Sub. |Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o''oO 7.02 2.00 4.00 0.76! 30 20-8 1.42 30 60 /: 00 10. 21 i. oo 23-7 \ SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [27] Greenwich T3 O ** 4 !- Ecliptic D *S * j= " J g t Mean Solar Time Longitude s-M > 'O 2 *-' || a & d t. S c" a * N.P.D. M ~Q 2=ffi *S .2 ! of of = 5 3 ( ej 2 '5-3 K ^3 3 < g " '3 .2 5 s of c W u 8 S s .2cu Observation Moon's Center S x'u. aj C-t C X J j? .r 3 a- &i "H ir .2 bo &. C 2 1 -. S &<> Moon's Center | J5 "o t 4* 3 to bo of from Wt Sj C - W g i < m i < <^ W J? from M-3 S %.Z W g s< % Moon's Limb. Observation. O HJ 6.S 3.2 o.S Observation. wfc S.s titi 1750. " " m ' O / It It II g v > \ g > % g > o / " tf g * , - Sep. 12. 15. 21. 8-7 43. 29. 26-85 17-40 69-45 11.66 1.22 6.75 1.52 29 40-5 0.46 47 94. 59. 18-40 21-10 57-30 15.68 1.26 31 6 13.16. 6.58-9 56. 5.20-00 12-39 67-61 10.39 1.09 7.25 1.43 19 40-7 0.69 49 95. 13. 26-07 31-12 64-95 15.91 1.07 34-1 14. 16. 53. 14-0 68. 29. 45-92 40-49 65-43 8.97 1.01 7.60 1.22 12 40-8 0.96 51 95. 12. 40-50 45-04 55-46 15.88 0.88 36-1 15.17.40. 4-5 80. 47. 18-23 17-40 60-83 7.45 0.97 7.75 0.93 08 40-9 1.24 52 94. 57. 41-52 37-04 64-48 15.58 0.69 37-7 28. 3.35.59-6 243. 5.65-45 55-66 69-79 4.27 3.08 0.87 1.40 21 41-6 2.44 15 84. 48. 69-51 46-00 83-51 4.50 1.05 18-9 Oct. 1. 6.29.18-2 287.31. 6-04 0-28 65-76 9.47 3.10 0.24 0.62 08 41-6 1.69 08 86. 24. 21-23 22-62 5861 6.37 1.67 10-4 2. 7.26. 8-1 302. 3.25-62 20-73 64-89 11.03 2.95 0.38 0.32 11 41-6 1.40 08 87. 27. 43-29 46-18 57-11 7.56 1.80 8-7 3. 8.21. 0-0 316. 24. 43-81 37-56 66-25 12.32 2.75 0.72 0.10 18 41-6 1.12 08 88. 39. 53-05 58-26 54-79 8.90 1.88 7-7 4. 9. 13. 32-9 330.34. 8-42 2-69 65-73 13.27 2.51 1.21 0.00 28 41-6 0.85 10 89.55.56-38 62-77 53-61 10.31 1.90 7-4 5.10. 3.51-1 344. 30. 63-33 58-65 64-68 13.84 2.25 1.83 0.04 38 41-5 0.60 12 91. 10. 59-46 6669 52-77 11.69 1.87 7-9 7.11.39.20-5 11.44.39-91 42-03 57-88 13.80 1.73 3.35 0.49 52 41-4 0.21 18 93. 20. 54-30 59-19 55-11 14.07 1.66 10-7 7.11.41.27-9 11.45.48-52 50-75 57-77 13.80 1.73 3.35 0.49 52 41-4 0. 21 18 93. 20. 58-88 63-78 55-10 14.07 1.66 10-7 9. 13. 13. 38-8 38. 1.44-16 58-22 45-94 12.34 1.32 5.00 1.14 51 41-4 0.01 27 94. 43. 33-54 21-06 72-48 15.54 1.32 15-2 11. 14. 40. 6-0 63. 22. 11-85 14-42 57-43 9.87 1.06 6.45 1.51 34 41-2 0.05 36 95. 6.44-80 45-40 59-40 15.92 0.93 20-9 12. 15. 32. 58-4 75. 45. 38-49 39-90 58-59 8.40 0.99 7.02 1.49 24 41-2 0. 15 40 94. 56. 26-88 24-87 62-01 15.70 0. 74 23-7 16. 18. 43. 22-3 124. 57. 28-91 28-56 (60-35) 2.59 1.19 7.67 0.48 09 40-8 1.03 52 92. 12. 26-31 3-36 (8295) 12.55 0.18 34-5 29. 6.22. 0-9 297. 41. 44-56 46-46 58-10 10.10 3.05 0.35 1.09 10 39-2 2.57 17 87.20. 6-85 14-72 52-13 7.30 1.77 21-2 30. 6.17.45-9 312. 8.56-36 51-95 64-41 11.56 2.88 0.23 0.79 07 38-9 2.38 14 88. 29. 57-61 63-52 54-09 8.62 1.87 18-0 Nov. 1. 8. 0.54-8 340. 6. 18-53 3-28 75-25 13.53 2.41 0.51 0.21 14 38-6 1.89 09 90. 56. 47-47 63-71 43-76 11.40 1.88 12-2 3. 9.35.27-1 7. 0.44-85 40-76 64-09 13.98 1.89 1.46 0.00 33 38-2 1.33 08 93. 5.31-38 40-06 51-32 13.82 1.70 8-7 4. 10. 21. 6-0 20. 9.22-33 12-20 70-07 13.63 1.65 2.13 0.11 42 38-0 1.05 09 93. 54. 44-82 51-76 53-06 14.74 1.55 7-8 6.11. 6.28-5 33. 6.45-07 41-70 63-37 12.93 1.43 2.88 0.33 50 37-8 0.78 10 94. 30. 58-90 62-76 56-14 15.41 1.37 7-4 6.11.62. 4-5 45. 53. 49-07 47-04 02-03 11.94 1.26 3.70 0.64 54 37-4 0.54 13 94. 52. 56-74 58-68 58-06 15.81 1.19 7-7 6.11.54.11-1 45. 54. 54-60 52-10 62-50 11.94 1.26 3.70 0.64 54 37-4 0.54 13 94. 52. 67-39 59-98 57-41 15. 81 1.19 7-7 7. 12. 40. 18-5 58. 31. 54-79 62-70 52-09 10.72 1.12 4.53 0.97 53 37-2 0.33 16 95. 0. 0-10 10-29 49-81 15.93 0.99 8-5 8.13.27. 5-1 71. 0. 4-78 5-97 58-81 9.32 1.02 5.34 1.26 48 37-0 0.17 19 94. 52. 43-71 49-45 54-26 15.78 0.79 9-7 8.13.27. 5-1 71. 0. 4-75 5-97 58-78 9.32 1.02 5.34 1.26 48 37-0 0.17 19 94. 52. 43-93 49-45 54-48 15.78 (1.79 9-7 10.15. 2. 0-7 95. 34. 61-82 58-53 03-29 6.28 0.98 6.71 1.52 29 36-0 0.01 28 93.58. 7-95 13-07 54-88 14.73 0.45 13-5 11. 15.49.36-8 107.47. 4-04 6-17 57-87 4.78 1.02 7.22 1.44 20 3(54 0.01 33 93. 13. 50-36 46-68 63-68 13.88 0.31 15-9 15. 18. 57. 10-2 157.46. 9-84 10-38 59-40 0.44 1.04 7.58 0.35 12 35-3 0.57 48 89. 6.20-40 7-97 72-43 9. 18 0. 11 27-5 Sub. Sub. K \ Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. jt Sub. g \ Sub. Sub. 60-OOj 7.02 2.00 4.00 0.76 30 20-8 ff \ 1.42 30 ' oo-oo 10.21 1.00 23-7 1756. Nov. 10. This observation in N. P. D. was omitted from Section II., from the singular circumstance of the external reading being exactly 35 J . O p . 0". s , which appeared at first to be probably a mere reading of the principal divisions. There is, however, an internal reading, 32. 48'. 43", which corresponds with this, and the result is accordant with those of the neighbouring obser- vations. [E]2 [28] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longityde. 3 f i Change for 0'l in Argument. >, II I! Variation. i> ,J ? 02 Annual Equation. Evcction. Change for 08- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. .C <4-t ,S sf d B J I S | Change for 0-1 1 in Argument. g ' 1756. d h " ' Nov. 27. 5. 6. 37-8 / 321. 41. 59-4 g 65-42 54-00 g \ 12. Oa V \ 2.80 0.48 * 1.22 13 \ 32-1 2.83 28 o / // 89. 35. 53-74 It 57-00 a 56-74 9.71 \ \\ 1.90 30-9 28. 5.58.39-3 335. 51. 24-7 25-18 5954 13.08 2.57 0.27 1 0.95 08 31-9 2.78 24 90. 50. 39-58 42-20 57-39 11. 13 1.89 27-8 Dec. 3. 9.49.29-7 41. 39. 49-8 46-46 63-40 12. 5S 1.36 1.78 0.04 37 30-1 1.82 09 94. 51. 56-62 63-25 53-37 15.74 1.23 12-9 8. 13. 45. 35-9 103.32. 8-1 13-16 54-94 5.70 0.99 5.72 1.37 44 28-3 0.48 13 93. 19. 30-03 49-94 40-09 14.08 0.34 7-4 14. 18. 23. 46-0 178. 44. 55-48 52-22 (63'26 i 0.03 1.97 7.69 0.50 09 26-4 0.09 38 87. 7.36-43 30-40 (66-03 7.10 0.26 17-0 16.20. 0.27-7 206. 28. 56-00 54-14 61-86 0.74 2.50 6.98 0.09 23 25-4 0.41 46 85.29.46-01 42-79 63-22 5.22 0.56 23-5 30. 7. 48. 11-6 1757. Jan. 2.10. 5. 9-3 37. 41. 14-92 74. 58. 17-43 13-61 18-19 61-31 59-24 13.13 9.67 1.48 1.04 0.48 2. 08 0.22 0.10 14 42 20-5 19-5 2.76 2.26 23 12 94.57.11-20 94. 47. 18-96 20-35 20-33 60-85 58-63 15.68 15.58 1.26 0.69 28-5 19-9 3. 10. 52. 23-3 87.13.47-51 48-48 59-03 8.19 0.98 2.83 0.32 49 19-1 2.02 10 94. 16. 34-45 29-61 64-84 15.04 0.52 17-0 5. 12. 27. 58-5 5.12.30. 7-2 111. 42. 20-74 111.43.21-20 24-69 28-2-2 56-05 52-98 5.13 5.13 1.01 1.01 4.47 4.47 0.95 0.95 53 53 18-5 18-5 1.46 1.46 08 08 92.41.14-12 92.41. 9-89 1398 9-00 60-14 60-89 13.33 13.33 0.26 0.25 12-4 12-4 7.14. 4.18-6 136. 19. 54-71 68-29 46-42 2.42 1.21 6.02 1.45 40 17-5 0.91 09 90. 35. 12-34 12-32 60-02 11.03 0.11 9-0 16. 21. 29. 21-3 259. 32. 49-55 66-75 (42 - 80) 5.13 3.13 6.12 0.10 38 14-2 0.27 43 85.18.52-98 85-31 (27-67) 5.05 1.39 20-7 25. 4.58.20-7 19.51. 13-67 18-02 55-65 13.95 1.85 0.51 1.24 14 11-5 2.35 47 94. 26. 17-60 2-2-95 54-65 14.97 1.50 40-0 26. 6.44.23-7 33. 2.11-32 22-86 (48'46) 13.55 1.61 0.28 0.97 09 11-2 2.55 43 94. 58. 33-92 22-33 (7V59) 15.57 1.31 39-5 27. 6.29.57-5 45.52. 2-71 8-60 54-11 12.81 1.41 0.23 0.66 07 10-9 2.70 40 95.14.17-75 27-03 50-72 15.88 1.12 38-6 29. 8. 1.50-1 70. 47. 37-69 49-15 48-54 10.53 1.10 0.66 0.13 17 10-3 2.83 31 95. 0.51-44 55-71 55-73 15.67 0.73 35-2 30. 8.48.42-9 83. 3. 8-57 17-57 51-00 9.12 1.02 1.13 0.01 26 97 2.81 26 94.33. 7-25 10-12 57-13 15.18 0.56 32-9 Feb. 1.10.24. 2-0 107. 29. 55-38 46-21 69-17 6.07 0.98 2.44 0.18 46 9-2 2.60 18 93. 2. 18-73 18-15 60-58 13.56 0.27 27-8 3.11.59. 6-6 32. 9.48-60 59-89 48-71 3.20 1.13 4.06 0.77 54 8-6 2.20 12 90. 57. 10-08 6-49 63-59 11.31 0.12 21-9 6.14.19.29-1 170.13. 5-69 12-86 52-83 0.37 1.67 6.36 1.50 35 7-8 1.39 08 87.31.68-40 58-64 69-76 7.59 0.20 13-7 1 7.15. 5. 3-2 83.17.27-37 37-88 49-49 0.05 1.91 6.95 1.50 25 7-3 1.11 08 86. 32. 15-40 9-08 66-32 6.50 0.32 11-5 23. 4.22.44-3 40. 26. 32-63 35-49 57-14 13.30 1.53 0.72 1.35 IS 3-6 1.63 52 95. 9. 51-45 58-70 52-75 15.82 1.18 37-0 25. 5.56.10-7 66. 1.15-04 21-18 53-86 11.33 1.18 0.24 0.83 07 3-2 2.18 49 95. 7. 59-80 63-49 56-31 15.76 0.78 39-5 27. 7.30.42-7 90.41.25-56 36-80 48-76 8.56 0.99 0.46 0.24 13 2-9 2.59 43 94. 8.58-64 64-21 54-43 14. 6S 0.44 39-9 28. 8.18.25-0 02. 53. 59-36 76-03 43-33) 7.03 0.97 0.84 0.06 21 2-7 2.73 39 93. 22. 15-23 2-07 (73-16) 13.81 0.30 39:4 Mar. 1. 9. 6. 10-3 15. 8.29-35 32-51 56-84 5.50 0.99 1.37 0.00 31 2-5 2.81 34 92. 25. 47-69 42-85 64-84 12.78 0.20 38-2 2. 9.53.41-0 27. 28. 45-77 44-81 SO- 96 4.04 1.06 2.03 0.09 41 2-4 2.83 29 91.22.19-18 14-49 64-69 11.62 0.13 36-7 4. 11. 27. 22-6 52. 40. 33-12 3467 58-45 1.60 1.34 3.58 0.60 53 19 2.71 21 89. 4.29-20 19-82 69-38 9. 11 0.12 32-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. eo'-oo t \ 7.02 i. oo 4.00 0.76 30 20-8 1.42 30 60*00 10.21 1. 00 23-7 1756. Dec. 14. The Observed Z. D. has been increased 4 Verniers. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [29] O Greenwich J . ib . Ecliptic wf 1 O ' Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tubular Longitude. Excess of Observed Longitude. (J if! Sf Change for ( in Argument Parallactic Inequality. Variation. Change for in ArgumenI Annual Equation. Evection. Change for in ArgumenI N. P. D. of Moon's Center from Observation. Seconds o Tabular Ecli N.P. D. C.o. . C ^ "j^ IT Effect of Mean Inclination Change for in Argument w w 1757. d " ' o / " g " g * \\ o / rt tt if g > \ \\ \ Mar. 5. 12. 13. 38'4 105. 30. 44-78 52-78 52-00 0.74 1.53 4.42 0.93 53 1-8 2.56 17 87. 56. 23 22 12-68 70-54 7.880.181 29-5 5. 12. 15. 45-3 105. 37. 50-50 59-82 50-68 0.74 1.53 4.42 0.93 53 1-8 2.50 17 87. 56. 17-93 7-02 70-91 7.87 0.18 29-5 7. 13. 48. 43-2 192. 10. 61-20 55-47 65-73 0.03 2.01 5.97 1.44 41 1-6 2.14 11 85. 59. 63-55 42-88 80-07 5.77 0.43 23-5 10.16.17.26-1 234. 8. 2-75 12-22 50-53 1.83 2.77 7.53 1.27 13 1-1 1.32 08 84. 46. 50-21 42-82 07-39 4.50 1.05 13-9 11. 17. 11. 31-0 248.32. 1-16 254 58-62 3.15 2.97 7.74 0.99 08 1-0 1.04 09 84. 59. 14-25 8-53 05-72 4.75 1.27 11-3 25. 4.35.30-1 73. 13. 34-74 41-04 53-70 10.86 1.13 0.53 1.20 14 o-i 1.13 52 94. 47. 50-33 69-22 41-11 15.49 0.05 31-1 26. 5.23.25-8 85. 40. 33-09 33-58 59-51 9.48 1.03 0.29 0.99 09 o-o 1.42 53 94. 16. 39-15 47-23 51-92 14.89 0.48 33-5 27. 6.11.22-4 97. 57. 35-00 48-98 46-02 7.98 0.98 0.23 0.08 07 o-o 1.71 52 93. 33. 62-99 54-71 08-28 14.07 0.34 35-6 28. G. 59. 11-2 110. 10. 42-21 55-48 46-73 6.45 0.98 0.34 0.38 10 o-o 1.98 51 92.41.3102 29-70 01-92 13.09 0.22 37-6 29. 7.46.39-7 122. 25. 21-44 30-88 50-56 4.93 1.02 0.63 0.14 17 o-o 2.24 48 91. 41. 39-08 30-25 03-43 11.97 0.14 38-8 April 3. 11.40. 3-7 186.51.14-50 17-14 57-36 0.09 1.85 4.00 0.75 54 o-i 2.83 28 80. 21. 17-02 10-09 0753 6.04 0.39 37-6 4. 12. 28. 10-3 200. 42. 39-14 43-97 55-17 0.062.11 4.82 1.07 52 o-i 2.78 24 85.30.33-14 21-45 71-09 5.22 0.50 35-0 4. 12. 30. 20-5 200. 43. 53-30 57-55 55-75 0.00 2. 11 4.82 1.07 52 o-i 2.78 24 85. 30. 29-95 18-11 71-84 5.22 0.50 35-0 5. 13. 20. 11-3 214. 54. 25-57 21-36 64-21 0.42 2.37 5.62 1.34 45 o-i 2.67 20 85. 6.49-15 30-34 72-81 4.69 0.77 33-1 0. 14. 12. 12-4 229. 20. 25-60 18-45 67-15 1.18 2.63 0.31 1.49 36 0-2 2.51 16 84. 54. 70-89 52-51 78-38 4.50 0.99 29-9 12. 19. 53. 45-4 317. 27. 43-36 63-89 39-47 10.52 3.01 7.47 0.26 14 0-6 0.90 09 89. 43. 35-75 27-20 68-55 10.01 1.90 10-7 20. 6. 26. 33-1 129. 36. 2-91 8-58 54-33 4.38 1.04 0.20 0.53 08 2-3 1.20 52 90. 50. 40-99 29-98 77-01 11.13 0.11 28-7 27. 7. 12. 50-8 141. 56. 42-84 50-82 52-02 3.03 1.15 0.44 0.26 13 2-5 1.49 53 89. 45. 20-00 5-57 750! 9.89 0.10 31-3 28. 7.58.41-2 154. 30. 33-73 42-84 50-89 1.85 1.29 0.81 0.07 20 2-6 1.78 52 88. 39. 35-06 20-19 75-47 8.65 0.13 33-9 29. 8.44.28-7 167. 23. 14-87 19-88 54-99 0.92 1.48 1.33 0.00 30 2-8 2.05 50 87. 36. 27-95 9-87 78-08 7.46 0.21 301 30. 9.30.45-8 180. 39. 9-45 15-19 54-20 0.30 1.70 1.98 0.07 40 2-9 2.30 48 86. 38. 74-03 50-77 77-26 6.38 0.33 38-0 May 1. 10. 18. 12-5 194. 21. 18-86 24-22 54-04 0.04 1.95 2.71 0.28 48 3-1 2.51 44 85. 51. 41-80 25-76 76-04 5.48 0.50 39-2 3. 11. 59. 19-0 223. 4. 4-86 7-71 57-15 0.06 2.47 4.36 0.91 53 3-4 2.78 36 85. 0.50-27 42-62 67-65 4.52 0.92 39-9 3. 12. 1. 35-4 223. 5.27-93 28-51 59-42 0. 6G 2.47 4. 30 0.91 53 3-4 2.78 36 85. 0.49-47 41-98 67-49 4.52 0.92 39-9 6. 14. 53. 24-8 268. 16. 57-79 52-90 04-89 4.33 3.08 0.03 1.52 31 4-2 2.75 23 86. 9.59-70 53-74 65-96 5.83 1.58 35-0 8. 10. 53. 2-3 298.23. 7'92 10-28 5704 7.82 3.17 7.53 1.28 13 4-6 2.46 15 88. 19. 9-11 4-38 6473 8.27 1.85 28-7 10. 18. 44. 44-3 327.37.43-11 5327 49-84 11.08 2.95 7.76 0.69 07 5-0 2.00 10 90. 51. 51-40 42-33 09-07 11.17 1.89 21-9 29. 8.55.44-4 201. 39. 19-97 20'04 59-93 0.03 2.04 1.03 0.02 35 10-1 1.56 52 85. 23. 14-57 4-57 70-00 5.05 0.02 30-2 June 1. 11. 35. 40-2 245. 50. 47-48 48-31 59-17 1.9U 2.80 3.94 0.73 54 11-0 2.36 47 85. 14. 60-41 56-55 09-86 4.81 1.29 38-0 2.12.38. 60 261. 21. 21-28 19-51 01-77 3. 3S 2.99 4.70 1.06 52 11 3 2.56 43 85. 53. 29-73 27-29 62-44 5.50 1.51 39-4 Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Siib. Sub. _ K \ \ \\ \ \\ K \ g ( K \ w if * \ \ *\ I 60-00 7. 0-J 2.00 4.00 0.70 30 20-8 1.42 30 60-00 10.21 1.00 23-7 [30] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. S.'s W f Change for 0?-1 in Argument. Parallactic Inequality. Variation. Change for OB- 1 in Argument. aj 3 "Z3 |l Evection. Change for OB-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P.D. W I- u > 2 Effect of Mean Inclination. Change for OB- 1 in Argument. .So IP; I* ww 1757. ;. o / a n " g * \ \\ s v > g v " ' '/ " tf g ' > June 3. 13. 40. 8'6 276. 57- 44-42 44-15 60-27 4.97 3.12 5.56 1.33 46 11-8 2.70 39 86. 50. 37-15 35-38 61-77 6.55 1.69 40-0 23. 5. 17. 27-4 169.37. 9-45 5-86 63-59 1.13 1.43 0.25 0.87 08 18-2 0.06 36 86. 59. 27-35 10-08 77-27 7.02 0.25 9-7 24. 6. 1.47-0 182. 24. 32-00 31-68 60-32 0.43 1.64 0.25 0.56 08 18-6 0.17 41 86. 7.45-03 27-26 77-77 6.05 0.39 11-5 25. 6.47. 8-2 195. 35. 12-02 12-72 59-30 0.07 1.88 0.42 0.28 12 18-9 0.33 44 85. 26. 42-50 19-03 83-47 5.26 0.55 13-7 26. 7.34.26-8 209.14. 5-74 5-70 60-04 0.09 2.14 0.78 0.08 20 19-2 0.54 48 84. 58. 75-52 58-36 77-16 4.73 0.75 16-5 27. 8.24.38-0 223. 24. 33-60 38-94 54-66 0.50 2.41 1.29 0.00 30 19-8 0.78 50 84. 48. 52-90 35-37 77-53 4.50 0.97 19-9 July 2. 13. 26. 32-8 300. 38. 23-81 27-97 55-84 7.39 3.18 5.17 1.20 49 21-4 2.19 49 88. 48. 47-64 49-36 58-28 8.77 1.87 36-7 5. 16. 18. 27-0 346. 27. 28-40 27-40 61-00 12.08 2.79 7.12 1.47 22 22-7 2.74 38 92. 49. 67-01 57-28 69-73 13.20 1.77 40-0 7. 17. 57. 18-8 14. 49. 24-60 30-58 54-02 13.75 2.30 7.73 1.02 08 23-3 2. 83 29 94. 35. 17-03 11-07 65-96 15.16 1.45 38-2 0. 19. 30. 36-3 41.34.43-21 54-45 48-76 13.88 1.78 7.63 0.41 11 24-0 2.69 20 95. 14. 16-61 6-24 70-37 15.92 1.05 34-3 24. 6.15.51-0 217.29. 6-27 7-59 58-68 0.19 2.24 0.31 0.42 09 28-9 0.01 33 84. 44. 42-87 21-52 81-35 4.53 0.90 8-1 26. 8. 0.21-2 246. 2.49-39 49-18 60-21 1.70 2.75 1.01 0.02 24 29-5 0.20 42 85. 6.56-87 43-53 73-34 4.91 1.34 11-3 28. 9.59.43-1 276. 31. 60-95 56-37 64-58 4.55 3.10 2.28 0.14 44 30-3 0.60 48 86. 48. 48-44 50-37 58-07 6.74 1.71 17-2 30.12. 5.25-9 30.12. 7.52-1 308. 8.32-23 308. 9.56-14 21-80 54-33 70-43 61-81 8.05 8.05 3. 16 3.16 3.88 3.88 0.72 0.72 54 54 30-9 30-9 1.14 1.14 52 52 89. 30. 31-29 89. 30. 37-39 27-01 35-56 64-28 61-83 9.66 9.66 1.90 1.90 24-7 24-7 31. 13. 8. 14-5 323. 55. 55-93 62-54 53-39 9.76 3.08 4.71 1.05 52 31-2 1.44 53 90. 57. 64-54 54-48 70-06 11.24 1.89 28-5 Aug. 1.14. 5.22-1 339. 25. 59-58 67-62 51-96 11.27 2.92 5.56 1.32 46 31-5 1.73 52 92. 19. 37-29 29-89 67-40 12.70 1.81 32-0 2.14.59. 8-8 354. 31. 58-81 72-49 46-32 12.51 2.71 6.27 1.48 37 31-7 2.01 51 93. 29. 16-54 10-79 65-75 13.97 1.68 35-0 6. 18. 13. 59-6 50. 10. 36-49 4237 54-12 13.73 1.69 7.77 0.87 07 33-1 2.76 37 95. 15. 52-67 51-57 61-10 15.89 0.89 40-0 7. 19. 1. 16-4 63. 3. 19-56 24-80 54-76 13.10 1.47 7.72 0.56 08 33-3 2.82 33 94. 59. 56-02 43-10 72-92 15.60 0.70 39-7 25. 8.44.22-7 284.41.38-90 34-36 64-54 5.18 3.13 1.29 0.00 29 37-6 0.03 34 87. 27. 35-84 43-81 52-03 7.55 1.80 8-2 28.11.45.13-5 28. 11. 47. 34-7 331. 19. 7-28 331. 20. 28-34 5-57 33-51 61-71 54-83 10.35 10.36 3.03 3.03 3.46 3.46 0.54 0.54 53 53 38-3 38-3 0.44 0.44 46 46 91.37. 2-52 91. 37. 19-85 9-41 17-09 53-11 62-76 12.09 12. 09 1.85 1.85 15-2 15-2 29. 12. 43. 34-2 346. 47. 44-79 53-22 51-57 11.77 2.85 4.30 0.88 54 38-5 0.67 49 92. 53. 48-78 44-41 64-37 13.47 1.74 18-7 30. 13. 36. 55-8 1.57. 8-11 17-86 50-25 12.88 2. 62 5.11 1.18 50 38-7 0.94 51 93.56.24-84 20-18 64-66 14.59 1.58 22-2 31.14.28. 8-0 16.41.55-60 69-70 45-90 13.63 2.37 5.87 1.41 42 38-8 1.22 52 94.41.20-47 20-43 60-04 15.38 1.38 25-8 Sep. 1. 15. 17. 50-8 30. 58. 33-06 41-12 51-94 13.98 2. 10 6.54 1.51 32 39-0 1.52 53 95. 7.15-14 11-81 63-33 15.83 1.17 29-2 3. 16. 55. 10-2 58. 5.49-11 54-83 54-28 13.53 1.61 7.49 1.30 14 39-3 2.08 50 95. 3.46-84 43-16 63-68 15.71 0.75 34-7 18. 3. 48. 13-6 236. 9.42-52 32-24 70-28 0.59 2.44 0.60 1.30 16 41-1 1.15 08 84. 59. 39-70 7-47 92-23 4.69 1.23 20-4 19. 4.40.53-1 250. 10. 45-09 38-97 66-12 1.44 2.69 0.33 1.05 10 41-1 0.88 10 85. 25. 67-23 39-21 88-02 5.21 1.44 17-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60'-00 7.02 \ \\ 2.00 \ \\ 4. 00 6.76 30 20-8 1 . 42 30 6o'-00 16. 2! i. oo 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [31] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Lonffitude. S " Change for 08-1 in Argument. Parallactic Inequality. Variation. Change for 0?'l in Argument. i ** c 5 c s X g ' \\ O t ff " " t " ,v > Sep. 20. 5.36.20-7 264. 27. 52-39 53-29 59-10 2.65 2.91 0.22 0.74 07 41-3 0.63 12 86. 9.54-88 3294 81-94 6.06 1.62 14-3 23. 8. 32. 10-1 308. 49. 53-16 52-88 60-28 7.61 3.17 0.97 0.03 24 41-4 0.09 22 89.40. 5-79 12-48 53-31 10.01 1.90 8-1 26. 11. 19. 51-0 354. 19. 29-95 35-17 54-78 12.23 2.77 3.06 0.38 51 41-5 0.04 36 93. 25. 23-80 3964 44-16 14.17 1.65 8-7 30. 14. 44. 54-0 52. 3. 5-93 7-93 58-00 13.83 1.75 6.22 1.48 38 41-6 0.74 50 95. 1.13-23 11-81 61-42 15.82 0.82 18-7 Oct. 2.16.24. 90 78.26.51-39 47-08 64-31 12.43 1.33 7.31 1.41 18 41-6 1.30 52 94. 5.23-50 30-04 53-46 14.72 0.45 25-0 3.17.13.31-3 91. 6. 16-58 10-33 66-25 11.30 1.17 7.63 1.19 11 41-6 1.59 52 93. 19. 17-80 17-06 60-80 13.84 0.30 27-8 4.18. 2.23-1 103. 30. 10-26 12-12 58-14 9.96 1.06 7.76 0. 90 08 41-6 1.88 51 92. 24. 28-04 28-43 59-61 12.79 0.20 30-6 18. 4. 29. 19-4 274. 37. 56-95 55-60 61-29 3.19 2.98 0.44 1.19 12 40-7 1.64 08 87. 3.25-66 31-32 54-34 6.93 1.74 26-8 19. 5.27.29-6 289. 11. 30-68 28-89 61-79 4.78 3.11 0.26 0.91 08 40-6 1.36 08 88. 11. 19-61 1691 62-70 8.22 1.84 23-2 20. 6.25.26-5 303.49.58-13 52-70 65-43 6.51 3.17 0.25 0.59 08 40-5 1.07 09 89. 26. 28-98 34-73 54-25 9.66 1.90 19-7 23. 9. 9.502 347. 59. 3-79 3-54 60-25 11.45 2.90 1.25 0.00 29 400 0.35 15 93. 5.45-55 58-94 4661 13.80 1.70 10-8 24. 10. 1. 9-4 2. 38. 55-12 53-57 01-55 12. 64 2. 68 1.88 0.05 39 39-9 0.18 19 93.59.49-14 61-34 47-80 14.81 1.53 9-0 25. 10. 51. 25-6 17. 10. 47-28 49-36 57-92 13.48 2.43 2.60 0.24 47 39-8 0.07 23 94. 37. 43-29 52-00 51-29 15.52 1.33 7-9 28.13.23.19-1 59. 15. 57-15 58-31 58-84 13.67 1.66 5.05 1.17 50 39-4 0.06 37 94. 42. 24-78 2433 60-45 15.58 0.69 8-7 30. 15. 4. 06 85. 35. 31-33 30-16 61-17 12.03 1.27 6.49 1.51 33 38-9 0.35 45 93. 26. 50 05 5374 5631 14.14 0.35 12-2 31. 15. 53. 56-1 98. 15. 28-23 29-78 58-45 10. 82 1.13 7.06 1.48 23 38-7 0.56 48 92. 33. 36-73 31-55 65-18 13.13 0.23 14-6 Nov. 1. 16. 42. 59-6 110.40.19-10 17-81 61-35 9.43 1.03 7.47 1.32 14 38-6 0.81 50 91.33.42-62 43-44 59-18 11.99 0. 14 17-0 3. 18. 17. 20-2 135. 5.2207 23-41 58-66 6.39 0.98 7.77 0.75 07 38-2 1.37 53 89. 25. 46-24 44-48 61-76 9.58 0. 10 22-4 5. 19. 47. 2'4 159. 38. 14-28 18-95 55-33 3.48 1. 11 7.37 0.20 16 376 1.95 51 87. 23. 29-66 26-95 62-71 7.26 0.23 28-3 16. 4.21. 1-0 299. 25. 44-52 43-49 61-03 5.43 3. 15 0.63 1.31 16 35-3 2.34 13 89. 19. 8-07 8-91 59-16 9.36 1.89 35-2 17. 5.18.29-6 314. 10. 12-31 3-45 68-86 7.20 3. 18 0.34 1.06 10 350 2.10 11 90. 37. 13-93 20-52 53-41 10.83 1.90 32-4 19. 7. 6. 6-5 343. 17. 26-51 21-85 64-66 10.56 3.01 0.30 0.44 09 34-5 1.56 08 92. 59. 28-00 47-42 40-58 13.54 1.73 25-8 20. 7.56.36-6 357. 39. 19-91 17-21 62-70 11.94 2.82 0.55 0. 19 15 34-3 1.27 08 93. 54. 38 79 58-21 40-58 14.59 1.58 22-2 21. 8.45.45-5 11.52.55-38 44-40 70-98 13.00 2.59 0.97 0.03 23 33-8 1.00 09 94. 34. 48-29 57-17 51-12 15.36 1.39 18-9 22. 9. 34. 16-4 25. 56. 40-25 34-00 66-25 13.70 2.33 1.55 0.01 34 33-5 0.73 11 94. 57. 29 52 45-07 44-45 15.81 1.18 15-9 23.10.22.51-3 39.49. 8-88 7-20 61-08 14.00 2.07 2.23 0. 13 43 33-2 0. 50 13 95. 2.26-48 36-83 49-65 15.93 0.96 13-1 24. 11. 11. 58-5 53.28.28-16 26-06 62-10 13.91 1.81 3.00 0. 36 50 33-0 0.30 16 94. 49. 55-87 60-39 55-48 15.71 0.75 10-8 26. 12. 54. 24-6 80. 1.48-15 46-44 61-71 12. 66 1.38 4.65 1.01 53 32-4 0.05 24 93. 39. 27-39 22-95 64-44 14.43 0.39 8-0 27. 13. 44. 53-3 92. 53. 14 05 9-41 64-64 11.59 1.21 5.45 1.29 47 32-1 0.00 29 92. 46. 46 96 47-42 59-54 13.46 0.26 7-5 Sub. 60'-00 Sub. 7*. 02 Sub. Sub. Sub. Sub. Sub. 20-8 Sub. 1.42 Sub. \v 30 Sub. 60-00 Sub. 10.21 Sub. i.ob Sub. 23-7 2.00 4.00 0.76 30 [32] REDUCTION OF GEEENWICH LUNAR OBSERVATIONS. Greenwich f 4 0- i ~ Ecliptic <*- * J=-a i . Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observe Longitude. >, - 5 .5-1 cr s ! Change for ( in Argumenl Parallactic Inequality, Variation. i _ - g>B> -c w .5 s g.2 11 Erection. Change for ( in Argumen N.P.D. of Moon's Center from Observation. Seconds o Tabular Ecli N. P. D. C a. . - /. C- -o It* wl ?-l HI w* s fc-4 Chnnge for ( in Argumen * 'S. .a. fz WW 1757. " b m ' O t II // // g * , \ \\ e v \\ g " \\ o / tt // ff g * V - Nov. 28. 14. 34. 49-3 105.29. 7-43 3-64 63-79 10.31 1. 08 6.17 1.47 38 31-9 0.02 33 91. 46. 48-49 48-46 60-03 12. 35 0.16 7-5 Dec. 4.19. 7.57-0 1 79. 16. 30-40 29-60 00-80 1.82 1.30 7.53 0.32 12 29-8 1.16 52 85.52. 5-33 3-41 61-92 5.69 0.45 17-5 5. 19. 51. 57-2 192. 8. 17-56 17-23 60-33 0.90 1.48 7.16 0.13 20 29-5 1.45 53 85. 17. 36-80 34-74 62-06 5.02 0.62 20-4 17. 5.54.43-6 353. 22. 48-84 42-87 65-97 11.12 2.94 0.26 0.92 08 25-4 2.49 15 93.53. 2-25 13-72 48-53 14.40 1.61 369 18. 6.44. 7-6 7. 38. 15-68 4-83 70-85 12.39 2.74 0.24 0.61 08 25-1 2.28 12 94. 36. 49-28 57-15 52-13 15. 23 1.43 34-5 23. 10. 45. 40-9 75. 7.46-94 45-90 61-04 13.19 1.50 2.55 0.22 47 23-1 0.92 09 93. 57. 33-75 35-94 57-81 14.66 0. 43 19-4 27.14. 5.19-6 125. 23. 31-49 34-53 56-96 8.30 0.99 5.77 1.39 43 21-8 0.1-2 21 89. 54. 36-22 37-53 58-69 10.26 0.10 10-0 1758. Jan. 2.18.29.14-1 199. 25. 60-79 52-70 68-09 0.64 1.56 7.67 0.47 09 19-5 0.45 46 84. 54. 55-40 42-07 73-33 4.72 0.75 9-4 13. 3.47.56-9 347. 53. 28-36 30-04 58-32 10.19 3.04 1.09 1.45 25 158 2.79 36 93.39. 6-06 12-13 53-93 14. 11 1.60 38-7 14. 4.39.51-4 2.43.51-10 46-53 64-57 11.64 2.87 0.63 1.32 16 15-2 2.83 31 94. 30. 26-31 48-34 37-97 15.06 1.48 39-7 15. 5.29.32-5 17. 8.35-16 34-48 60-68 12.78 165 0.34 1.08 10 14-9 2.82 26 95. 3.31-08 40-08 51-00 15. 6(i 1.27 40-0 16. 6.17.55-7 31. 8.27-30 22-49 64-81 13.57 2.39 0.23 0.77 07 14-6 2.74 22 95. 17. 15-14 21-36 53-78 15.92 1.06 39-5 19. 8.42.35-8 71. 1.25-91 27-48 58-43 13.59 1.63 0.94 0.04 23 13-6 2.22 12 94. 15. 7-28 10-78 56-50 14. 8-2 0.47 34-9 26. 14. 17. 40-6 157. 39. 42-97 44-01 58-96 4.69 1.03 6.12 1.46 39 11-2 0.39 15 87. 4.52-32 56-05 56-27 7.05 0. 25 15-9 30.17. 9. 0-1 207.25. 3-73 0-35 6338 0.41 1.65 7.75 0.94 08 9-7 0.00 31 84. 44. 27-93 25-57 62-36 4.53 0.90 8-4 Feb. 1.18.42.53-5 233.57. 0-80 3-52 57-28 0.09 2.15 7.58 0.34 12 9-2 0. 15 40 85. 0. 43-98 37-08 66-90 4.84 1.31 7-4 13. 5. 0.46-5 39. 50. 31-53 37-36 54-17 13.76 2.30 0.48 1.22 13 6-1 2.72 39 95. 14. 25-50 34-16 51-34 15.90 0.90 37-0 15. 6.39.16-5 66.50. 7-26 12-26 55-00 13.87 1.78 0.24 0.62 07 5-4 2.83 30 94.26. 7-71 15-24 52-47 14.98 0.50 39-7 16. 7.28.41-3 79.44.51-75 5967 52-08 13.36 1.55 0.37 0.33 11 5-2 2.80 25 93. 41. 25-49 28-05 57-44 14.15 0.35 40-0 17. 8. 18. 10-0 92. 22. 28 98 31-01 57-97 12.53 1.35 0.69 0. 11 18 5-0 2.71 21 92. 46. 47-79 48-91 58-88 13. 14 0.23 39-8 18. 9. 7.21-4 104. 47. 22-68 22-05 60-63 11.43 1.19 1.17 0.00 27 4-8 2.57 17 91. 45. 12-55 11-49 61-06 12.01 0. 14 39-0 20.10.43. 8-7 129. 15. 29-12 27-12 62-00 8.67 1.00 2.49 0.21 46 4-4 2.15 11 89. 32. 31-85 26-9'2 64-93 9.58 0. 10 36-1 27. 15. 51. 34-6 216. 7. 8-58 12-22 56-36 0.24 1.74 7.42 1.35 15 29 0.34 16 84. 48. 42-59 44-18 58-41 4.51 1.06 17-5 Mar. 1. 17. 27. 21-5 242. 38. 34-37 40-98 53-39 0.21 2.25 7.78 0.80 07 25 0.07 23 85. 27. 20-72 19-53 61-19 5.27 1.45 12-2 15. 5.22.13-8 74. 53. 55-48 63-46 52-02 13.71 1.69 0.35 1.09 10 0-7 2.45 46 93. 49. 30-25 33-92 56-33 14.39 0.39 31-8 16. 6. 12. 49-8 87. 52. 16-55 27-47 49-08 13.08 1.47 0.23 0.79 07 0-6 2.6-2 42 92.57.30-19 23-66 66-53 13.40 0.25 34-3 16. 6.12.49-8 87. 52. 16-60 27-47 49-13 13.08 1.47 0.23 0.79 07 0-6 2.62 42 92. 57. 26-67 23-66 63-01 13. 40 0.25 34-3 17. 7. 2.52-3 100.30. 6-79 17-28 49-51 12. 14 1.28 0.28 0.48 09 0-5 2.75 38 91. 57. 49-72 48-09 61-63 12.27 0. 16 36-4 17. 7. 2.52-3 100.30. 6-63 17-28 4935 12.14 1.28 0.28 0.48 09 0-5 2.75 38 91.57.47-61 48-09 59-52 12. 27 0. 16 36-4 20. 9.26. 89 137. 15. 56-60 58-60 58-00 8.10 0.98 1.46 0.00 32 0-3 2.78 24 88. 43. 61-76 43-34 78-42 8.65 0.13 39-8 Sub. Sub. K * Sub. Sub. Sub. g \ Sub. Sub. Sub. K \ Sub. Sub. // Sub. K \ Sub. \ v% Sub. eo'-'oo 7.02 2. 00 4.00 0. 76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PIACE. [33] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. It W w Change for 0?' 1 in Argument. Parallaetic Inequality. Variation. Change for 0=-! in Argument. 1-1 e a < cr ^W Evection. Change for 08-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. U* 1L 11 fe! !|* Excess of Ob- 1 served Ecliptic I N. P. D. Etfecl of Mean Inclination. Change for fls-1 in Argument. Q a . .2* ' Z ''i 1758. 1 h n, . Mar. 23.11.37.49-8 O t It 174. 0.35-75 ft 31-38 64-37 3.62 \ \\ 1.09 \ \\ 3.70 0.63 o / it 86. 1.63-60 it 58-05 ft 65-55 g v 5.66 \ ** 0.46 38-9 54 o-i 2.33 13 24. 12.22.36-8 186.31.46-89 45-33 (61-56) 2.36 1.22 4.53 0.96 53 o-i 2.09 11 85. 26. 51-54 43-79 (67-75) 5.01 0.63 37-5 24. 12. 22. 36-8 186. 31. 47-32 45-33 61-99 2.36 1.22 4.53 0.96 53 o-i 2.09 11 85. 26. 52-53 43-79 68-74 5.01 0.63 37-5 26. 13.49.59-1 212. 5.23-43 27-09 56-34 0.55 1.59 6.07 1.45 40 o-o 1.55 08 84. 56. 50-31 53-62 56-69 4.60 1.02 33-3 28. 15. 24. 24-5 238. 30. 11-51 14-36 57-15 0.05 2.09 7.22 1.44 20 o-o 0.99 09 85. 28. 58-95 58-08 60-87 5.14 1.41 27-5 29. 16. 15. 37-4 252. 4.22-03 31-19 50-84 0.38 2.35 7.58 1.24 12 o-o 0.73 11 86. 8. 35-21 36-92 58-29 5.90 1.59 24-5 30. 17. 9. 42-3 265. 54. 59-70 72-99 46-71 1.10 2.61 7.75 0.96 08 o-o 0.49 13 87. 2.31-39 32-45 58-94 6.93 1.74 21-2 31.18. 6.12-5 280. 3.27-12 43-98 43-14 2.20 2.84 7.75 0.64 08 o-o 0.29 17 88. 8.31-78 24-64 67-14 8.18 1.84 17-7 April 13. 4.54.47-7 95. 22. 45-34 53-77 51-57 12. 76 1.39 0.51 1.23 13 0-6 1.76 52 92. 7.44-94 51-41 53-53 12.61 0. 18 21-4 14. 5.45.22-5 108. 4.25-06 31-97 53-09 11.72 1.22 0.28 0.96 08 0-7 2.04 50 91. 4.21-98 10-22 71-76 11.41 0.12 24-2 16. 7.21.40-0 132.44. 9-27 17-37 51-90 9.03 1.01 0.35 0.35 11 0-9 2.50 45 88. 54. 25-27 16-50 68-77 8.95 0. 12 29-9 19. 9. 34. 25-0 169.23.20-10 18-39 61-71 4.49 1.04 1.73 0.03 37 1-3 2.83 32 86. 11.20-11 4-44 75-67 5.86 0.42 36-7 20. 10. 17. 10-1 181.50.62-41 59-98 62-43 3. 12 1. 14 2.44 0. 19 46 1-4 2.82 27 85. 34. 32-82 20-11 72-71 6.16 0.58 38-2 22. 11. 44. 20-7 207. 27. 36-29 31-29 65-00 0.99 1.46 4.06 0.78 54 1-6 2.65 19 85. 0. 14-41 2-87 71-54 4.50 0.97 39-9 May 1.19.48.15-5 333. 56. 49-96 64-46 45-50 7.67 3.17 7.42 0.24 15 3-1 0.43 14 92. 55.43-12 34-33 68-79 13.48 1.74 20-2 12. 4.26.24-5 115. 18.21-22 27-89 53-33 11.26 1.17 0.69 1.34 17 5-4 0.97 51 90.11.23-64 9-44 74-20 10.55 0. 10 11-7 13. 5.15. 7-5 127.45.31-32 29-02 62-30 9.93 1.06 0.37 1.11 11 5-6 1.26 52 89. 4.70-51 53-39 77-12 9.30 0.11 13-9 14. 6. 1.439 140. 1.45-47 48-97 56-50 8.46 0.99 0.24 0.81 07 5-9 1.55 52 88. 2.21-65 3-58 78-07 8.11 0.16 16-3 . 16. 7. 29. 47-6 164. 26. 20-01 24-19 55-82 5.41 1.00 0.48 0.23 13 6-3 2. 10 50 86. 15. 68-89 53-97 74-92 6.10 0. 38 21-9 17. 8. 12. 22 176.46. 1660 24-92 51-68 3.95 1.07 0.87 0.05 22 6-6 2.34 47 85. 36. 62-46 44-84 77-62 6.34 0.53 24-7 18. 8.54.58-0 189.18.26-41 32-52 53-89 2.65 1.19 1.41 0.00 31 6-8 2.54 44 85. 9.45-08 32-46 72-62 4.81 0.71 27-8 19. 9.38.24-9 202. 6. 51-70 51-11 60-59 1.54 1.34 2.08 0.09 41 7-3 2.69 40 84. 56. 21-00 10-40 70-60 4.53 0.90 30-6 23. 12. 58. 5-0 256. 36. 22-4S) 13-05 69-44 0. 2b 2. 29 5.29 1.24 49 8-3 2.74 22 86. 43. 38-67 31-20 67-47 6.43 1.67 39-1 26. 15. 52. 8-6 300. 6.34-23 31-9(3 62-27 3.24 2.98 7.19 1.45 20 9-3 2.21 12 90. 20. 37-03 31-26 65-77 10.44 1.90 39-2 28. 17. 45. 0-3 329. 30. 52-44 51-19 61-25 6.57 3.18 7.74 0.97 08 9-9 1.68 08 92. 49. 29-51 23-10 66-41 13. 23 1.76 356 June 10. 3. 55. 14-9 134. 59. 42-1JJ 37-80 64-39 9. 38 1.03 0.94 1.42 22 13-6 0.32 44 88. 16. 32-50 17-03 75-47 8.45 0.14 7-5 13. 6. 7.25-1 171. 40. 35-72 32-62 63-10 4.85 1.02 0. 23 0.67 07 14-8 1.04 52 85. 40. 29-88 20-56 69-32 5.54 0.48 10-2 14. 6.49.29-0 184. 0.41-94 43-03 58-91 3.44 1. 11 0. 34 37 10 15-1 1.33 53 85. 8.77-49 59-99 77-50 4.94 0.65 12-0 17. 9. 1.35-7 222. 36. 13-53 20-73 52-80 0.47 1.62 1.68 0.02 36 16-0 2. 17 49 85. 0.43-30 39-57 63-73 4.71 1.25 ;l9-9 Sab. 60'-00 Sub. 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. * V 1.42 Sub 30 Sub. 6o'-00 Sub. 10.21 Sub. i.oo Sub. 23-7 2.00 4.00 1758. Mar. 24. Moon's U. L. The observed Z. D. has been increased 2 Verniers. GREENWICH LUNAR REDUCTIONS. [F] [34] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. ..? o-" gf Change for O^'-l 1 in Argument. Parallactic Inequality. Variation. Change for O 1 -" 1 1 in Argument. | il i *s Evcction. Change for O-'-I 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Eclipticl N P.O. Si. 1%z S, -a . ggz a* Effect of Mean Inclination. Change for O 1 --! in Argument. ! 1* - *7 U Z W W 1758. * * June 13. 9. 50. 38'6 / II 236. 13. 2-87 rr 5-46 ft 57-41 s ' 0.08 g * 0.18 45 16-4 s " 2.40 46 / '/ 85. 30. 42-84 tf 37-26 ft 65-58 v 5.23 \ \\ 1.44 23-2 1.86 2.38 19.10.43.21-1 250. 15. 5-27 5-43 59-84 0.07 2.12 3.17 0.44 52 17-0 2.58 43 86. 17. 34-37 25-85 68-52 6.07 1.62 26-5 20. 11.39.44-0 264. 40. 50-41 45-80 6461 0.45 2.39 4.00 0.70 54 17-3 2.72 39 87.19.37-11 33-47 63-64 7.19 1.76 29-9 22.13.41.56-1 294. 26. 40-05 34-96 65-09 2.38 2.87 5.67 1.35 45 17-9 2.83 30 89.55. 15-43 13-52 61-91 10.02 1.90 35-8 23. 14.41.49-4 309. 32. 12-00 1099 61-01 3.83 3.04 6.36 1.50 35 18-2 2.80 25 91. 17.39-93 36-07 63-86 11.52 1.88 38-0 26. 17. 26. 56-7 354. 27. 30-32 29-21 61-11 8.99 3.13 7.67 1.13 10 195 2.37 14 94. 30. 57-87 62-07 55-80 15. 08 1.47 39-8 28.19. 6.405 23. 29. 58 82 7273 4609 11.98 2.81 7.70 0.51 09 202 1.88 09 95. 15. 34-93 31-10 63-83 15.93 1.04 37-2 July 16. 8. 29. 46'2 243. 30. 45-75 39-54 66-21 0.03 1.96 1.37 0.00 31 262 1.40 53 85.50 31-01 29-03 61-98 5.72 1.56 11-0 17. 9.23.46-8 257. 36. 23-07 16-88 (66-19) 0.17 2.22 2.03 0.08 41 26-5 1.69 52 86. 45. 57-41 48-12 (69-29) 6.72 1.71 13-5 19. 11. 22. 17-4 287. 11. 30-86 25-00 65-86 1.62 2.73 3.58 0.59 53 27-4 2.23 48 89.15.27-59 22-65 6494 9.43 1.89 19-9 19. 11. 22. 17-4 287. 11. 30-64 25-00 65-64 1.62 2.73 3.58 0. 59 53 274 2. 23 48 89. 15. '29-36 22-65 66-71 9.43 1.89 19-9 24. 16. 12. 52-3 4. 7. 19-25 22-92 56-33 9.63 3. 09 7.16 1.45 21 28-9 2.83 28 94. 56. 4-70 1-62 63-08 15.57 1.31 36-7 25. 17. 3. 39-2 18. 55. 57-71 63-90 53-81 11.16 2. 94 7.53 1.27 13 29-2 2.78 24 95. 15. 27-26 18-23 6903 15. 90 1. 09 38-6 26. 17. 53. 29-4 33. 22. 36-35 39-35 57-00 12. 42 2.73 7.74 0.99 08 29-5 2.67 20 95. 14. 3-58 0-41 63-17 15.87 0.86 39-6 Aug. 11. 5.32.31-9 224. 28. 14-17 22-11 62-06 0.62 1.57 0.22 0.70 07 34-1 0. 10 38 85. 3. 30-21 16-58 73-63 4.86 1.32 10-0 12. 6. 19. 41-8 237.33. 2-96 8-25 54-71 0. 15 1.80 0.33 0.39 10 34-6 0.23 4-2 85.34.48-11 37-63 70-48 5.46 1.50 8-6 17.11. 5.12-5 310. 0.11-43 11-10 60-33 3.44 3.00 3. 17 0.42 51 35-7 1.49 53 91.20.56-59 65-12 51-47 11.85 1.86 11-3 18. 12. 5. 28-5 325. 43. 49-58 51-10 58-48 5. 07 3. 13 4.00 0. 75 54 36-0 1.78 52 92. 39. 57-82 65 11 52-71 13. 28 1.76 14-1 18. 12. 7. 53-0 325. 45. 18-29 22-60 55-69 5.07 3. 13 4.00 0.75 54 36-0 1.78 52 92. 40. 7-06 1221 54-85 13. 28 1.76 14-1 20. 14. 1. 26-6 357. 20. 26-55 32-31 54-24 8.58 3. 15 5.62 1.34 45 36-6 2.30 48 94. 36. 53-35 48-34 65-01 15.36 1.39 21-4 21.14.54.51-1 12. 49. 51-01 58-54 52-47 10. 23 3.04 6.31 1.49 36 36' 8 2.51 44 95. 5. 12-55 5-38 67-17 15.84 1.16 25-0 22. 15.46.49-7 27. 55. 45-86 55-80 50-06 11.67 2.86 6.91 1.50 26 37-0 2.67 40 95. 11.21-73 19-38 62-35 15.91 0.93 28-7 23. 16. 38. 7-1 42. 33. 46-69 54-76 51-93 12.81 2.64 7.37 1.38 17 37-2 2.78 30 94. 56. 46-45 51-74 54-71 15.61 0.70 32-0 Sep. 9. 5. 2.57-9 245. 52. 44-46 52-12 5234 0.06 1.90 0.25 0.86 08 40-1 0.02 26 86. 12. 31-17 17-15 74-02 6.07 1.6-2 18-0 10. 5.54.26-9 259. 16. 10-24 21-24 49-00 0. 10 2.16 0.26 0.55 08 40-2 0.00 30 87. 6.29-84 15-75 74-09 7.10 1.75 15-2 12. 7.47. 2-5 287. 23. 56-59 53-15 63-44 1.36 2.07 0.81 0.07 20 40-5 0. 13 39 89. 26. 28-98 27-67 61-31 9.75 1.90 10-2 15. 10. 44. 39-8 333. 7. 8-58 8-59 59-99 5.71 3.16 2.71 0.28 48 40-8 0.72 50 93. 14. 25-76 32-29 53-47 13.98 1.68 7-5 16.11.41.37-8 348.58.43-07 47-21 55-86 7.48 3.18 3.52 0.57 53 40-9 0.99 52 94.11. 7-02 8-46 58-56 15.02 1.49 8-3 17. 12. 39. 14-2 4.53. 9-41 14-33 55-08 9.22 3. 11 4.36 0.91 53 41-0 1.27 52 94.48.33-14 26-30 66-84 15.69 1.26 10-0 18. 13. 33. 14 2 20. 35. 15-75 19-86 55-89 10.81 2.98 5.17 1.21 49 41-1 1.57 52 95. 3. 30-58 26-50 64-08 15.93 1.02 12-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4.00 0. 76 30 20-8 1.42 30 60-00 10. 21 1. 00 23-7 1758. July 17. The Observed Z.D. has been increased 4 Verniers. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAE PLACE. [35] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. 11 ~ a- W g Change for OB- 1 in Argument. Parallactic Inequality. Variation. Change for OS' 1 1 in Argument. Annual Equation. Evection. Change for 0?'l in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. IF Effect of Mean Inclination. Change for 08-1 1 in Argument. u +7 |z WW 1758. < h m s Sep. 19. 14.26.33-1 O r II 35. 55. 52-40 59-75 tt 52-65 g * 12.14 e ^ 1.43 41 41-2 e " 1.86 \\ 51 O > II 94.56. 9-40 it 7-09 62-31 e " 15.76 0.78 15-4 2.78 5.92 20. 15. 19.40-7 50. 47. 41-60 53-18 48-42 13.15 2.55 6.63 1.52 31 41-3 2.12 50 94. 28. 49-57 45-61 63-96 15.21 0.56 18-7 21. 16. 12.52-0 65. 7.29-45 40-01 49-44 13.78 2.29 7.16 1.46 21 41-3 2.36 47 93. 45. 12-92 10-54 62-38 14.37 0.38 22-2 23. 17. 58. 47-2 92. 14. 49-20 54-82 54-38 13.86 1.77 7.74 1.01 08 41-4 2.70 39 91.46.47-68 45-99 61-69 12.10 0.15 28-5 25.19.40.45-5 117.46.30-12 24-84 65-28 12.49 1.34 7.61 0.39 11 41-5 2.83 30 89. 33. 16-66 537 71-29 9.58 0.10 33-9 26.20.29. 0-6 130. 9.25-12 25-04 60-08 11.38 1.18 7.28 0.17 18 41-5 2.81 26 88.28.38-98 39-22 59-76 8.37 0. 15 35-9 Oct. 9. 5.37.54-4 282. 2.41-47 46-72 54-75 0.80 2.52 0.22 0.71 07 41-4 0.20 19 89. 13. 2-86 4-15 58-71 9.35 1.89 25-0 10. 6.34.48-4 296. 10. 8-55 10-13 58-42 1.77 2.76 0.31 0.41 10 41-4 0.08 23 90. 27. 30-60 34-90 55-70 10.77 1.90 21-4 11. 7.32.14-4 310. 42. 13-58 17-65 55-93 3.08 2.96 0.60 0. 16 16 41-3 0.01 27 91.42.14-92 24-14 50-78 12,19 1.84 18-2 12. 8.29.13-2 325.39. 2-41 7-34 55-07 4.65 3. 10 1.05 0.02 25 41-2 0.00 32 92.52. 3-21 15-21 48-00 13.51 1.74 14-8 13. 9.25. 9-3 340. 57. 44-62 51-47 53-15 6.37 3.17 1.63 0.02 35 41-1 0.06 36 93. 51. 15-36 23-91 51-45 14.63 1.57 12-0 14. 10. 19. 57-6 356. 32. 15-77 24-08 51-69 8. 13 3.16 2.33 0.15 44 41-0 0.17 41 94. 34. 16-76 24-25 52-51 15.45 1.36 9-7 15.11.13.58-7 12. 13. 37-69 40-23 57-46 9.83 3.07 3.12 0.41 51 41-0 0.33 44 94. 57. 2-86 7-42 55-44 15.88 1.13 8-1 16.12.10. 2-8 27.52. 5-95 8-80 57-15 11.34 2.91 3.94 0.73 54 40-9 0.54 48 94. 57. 42-07 34-53 67-54 15.88 0.88 7-5 17.13. 4. 5-1 43. 14. 5-30 3-44 61-92 12. 55 2.70 4.76 1.06 52 40-8 0.79 50 94. 36. 28-60 23-16 65-44 15.48 0.65 7-7 19. 14. 53. 38-0 72.40. 2-34 5-41 56-93 13.91 2. 19 6.27 1.49 37 40-6 1.35 53 93. 2.22-79 22-48 60-31 13.70 0.29 10-4 21. 16.42.23-1 100. 2. 39-83 47-86 51-97 13.70 1.68 7.34 1.39 17 40-3 1.93 51 90. 50. 53-29 52-40 60-89 11.21 0.11 15-2 24. 19.11.48-1 138. 4. 7-71 16-37 51-34 10.90 1. 13 7.72 0.55 09 39-9 2.60 42 87. 35. 36-42 37-60 58-82 7.51 0.21 23-7 26. 20. 40. 6-7 162. 28. 28-79 38-63 50-16 8.05 0.98 7.09 0.10 22 39-6 2.81 34 85.58.49-11 43-62 65-49 5.66 0.46 29-5 Nov. 5. 3.33.47-7 277. 52. 26-08 25-69 60-39 0.39 2.36 0.78 1.38 19 37-8 1.31 08 89. 6. 18-26 6-90 71-36 9.08 1.88 38-2 8. 6.21.41-2 320. 14. 56-26 58-86 57-40 3.65 3. 02 0.25 0.56 08 37-2 0.52 13 92.43. 5-16 6-36 58-80 13.18 1.77 31-1 9. 7. 16. 0-6 334. 55. 2-67 2-40 60-27 5.28 3.14 0.42 0.28 12 37-0 0.32 16 93. 43. 8-27 11-11 57-16 14.33 1.62 27-8 12. 9. 53. 24-9 20. 12. 32-5(i 38-67 53-89 10.43 3.02 1.93 0.07 40 36-4 0.00 28 95. 4.25-64 25-85 59-79 15.93 0.98 17-0 13. 10. 46. 5-9 35. 26. 21-80 21-19 60-61 11.83 2.84 2.66 0.26 48 36-0 0.01 33 94. 50. 10-48 11-37 59-11 15.69 0.74 13-7 14.11.39.53-2 50.31. 4-00 0-52 63-48 12.93 2.61 3.46 0.56 53 35-7 0.08 37 94. 15.48-66 51-06 57-60 15.08 0.53 11-2 15.12.37.15-3 65. 20. 9-93 6-93 63-00 13.66 2.35 4. 36 0. 89 54 35-5 0.21 42 93. 24. 45-96 40-51 65-45 14.15 0.35 9-1 16. 13. 33. 7-7 79. 44. 45-40 43-41 61-99 13.99 2.09 5.17 1.20 49 35-3 0.38 45 92. 21. 29-41 30-26 59-15 12-98 0.21 7-9 20.17. 5.11-2 133. 0.30-45 29-01 61-44 11.68 1.22 7.51 1. 29 14 34-0 1.43 53 87. 44. 49-04 46-65 62-39 7.83 0.18 9-7 21. 17.51.50-5 145. 27. 7-38 3-04 64-34 10.41 1.09 7.73 1. 03 08 33-8 1.72 52 86. 47. 69-79 58-10 71-69 6.76 0.28 11-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2.00 4.00 6.76 30 20-8 1.42 30 60-00 10. 21 i.oo 23-7 [F] 2 [36] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich o *: T . s ~ Ecliptic -! , U a * in . Mean Solar Time _f Longitude of |il !! ^ u C o & g $> o ^3 | II C rf O S 'S a .2 Is s N.P. n. of |d c *- o o c 1! |Q or Observation of Moon's Limb. Moon's Center from Observation. i^lf Ill S- 3 5 f QJ 3 ^P .< o.S rt "5 5- S al .5 "C &>60 K C rt C 3 *g 1 w Ir, 5] i< S.s Vloon's Center from Observation. ! s^i *r u > ^ u t* + 3 Si PI il el WW 1758. d " m ' / II " II s " \ w V * > \\ < s " O / II Nov. 22. 18. 36. 3"2 157.43. 3-02 9-59 53-43 8.98 1.01 7.76 0.71 07 33-5 2.00 51 86. 0.56-41 49-88 66-53 5.87 0.42 13-5 23. 19. 18. 30-3 169. 54. 46-90 50-20 56-70 7.47 0.97 7.63 0.41 10 33-2 2.25 48 85. 24. 57-04 52-04 65-00 5.18 9.58 15-9 24. 19. 59. 58-4 182. 7.36-34 46-39 49-95 5.93 0.98 7.31 0.18 17 33-0 2.47 45 85. 1.24-20 21-56 62-64 4.72 0.75 18-4 Dec. 7. 6. 5. 10-8 345. 3.37-13 36-61 60-52 5.95 3.16 0.22 0.72 07 28-9 1.23 08 94.27.41-54 4732 54-22 5.04 1.48 37-9 8. 6. 56. 11-7 359. 45. 10-81 1354 57-27 7.71 3.17 0.31 0.42 09 28-6 0.95 09 95. 0. 6-00 11-10 54-90 5.66 1.27 35-8 13. 11. 16. 8-6 72. 55. 40-07 27-80 72-27 13.83 2.26 3.06 0.39 51 27-0 0.03 25 92.51.59-11 57-59 61-52 13.44 0.26 19-7 13. 11. 16. 8-6 72.55.41-16 27-80 73-36 13.83 2.26 3.06 0.39 51 27-0 0.03 25 92. 51. 50-53 57-59 52-94 13.44 0.26 19-7 16.14. 3.43-4 114. 14. 9-89 12-33 57-56 13.24 1.51 5.51 1.31 46 25-8 0.11 39 89. 14. 47-61 48-15 59-46 9.50 0.11 11-3 18.15.44. 5-0 140. 2. 9-72 7-51 62-21 11.22 1.17 6.83 1.51 27 25-1 0.44 46 87. 3. 8-08 5-30 62-78 7.08 0.25 8-3 1759. Jan. 3. 4. 1.48-5 340.31. 1-76 3-88 57-88 4.89 3.12 0. 81 1.38 19 19-5 2.45 15 94. 18. 37-42 38-46 58-96 14.87 1.52 37-9 5. 5.44.18-3 10. 5.50-84 50-37 (60-47) 8.38 3.15 0.26 0.89 08 18-8 1.99 10 95. 15. 62-71 41-33 (Sl'38) 15.90 1.09 39-9 6. 6.34. 3-7 24. 42. 25-24 26-58 58-66 10. 05 3.05 0.25 0.58 08 18-1 1.72 09 95. 13. 39-09 43-49 55-60 15.87 0. 86 39-8 8. 8.15.12-3 53.26.31-95 29-96 61-99 12.69 2.67 0.78 0.08 19 17-5 1.15 OS 94. 12. 13-24 12-87 60-37 14.75 0.45 37-5 12. 11.50.34-5 108. 29. 47-21 40-93 66-28 13.63 1.65 3.46 0.54 53 16-2 0.22 IS 89. 46. 18-52 17-65 60-87 9.93 0.10 26-8 12. 11. 50. 34-5 108. 29. 47-31 40-93 66-38 13.63 1.65 3.46 0.54 53 16-2 0.22 18 89. 46. 19-30 17-65 61-65 9.93 0.10 26-8 13. 12. 45. 27-6 121. 40. 25-47 23-73 61-74 12. 94 1.44 4.30 0.87 54 15-8 0.09 22 88. 34. 18-53 18-41 60-12 8.62 0.14 23-7 14.13.35.35-5 134. 34. 26-95 25-50 61-45 11.96 1.26 5.11 1.18 50 15-2 0.02 26 87. 28. 16-85 17-09 59-76 7.43 0.21 20-7 15. 14. 22. 55-3 147. 13. 55-48 59-44 56-04 10.74 1. 12 5.87 1.41 42 14-9 0.00 31 86. 30. 55-93 62-46 53-47 6.40 0.33 17-7 16.15. 7.38-4 159. 41. 16-05 12-73 63-32 9.34 1.03 6.54 1. 51 33 14-6 0.04 35 85. 44. 45-71 43-78 61-93 5.57 0.48 15-0 17. 15. 50. 16-7 171.59.19-14 15-66 63-48 7.84 0.98 7.09 1.48 22 14-2 0. 14 40 85. 10. 50-07 49-96 60-1 4.96 0.64 12-8 18. 16. 31. 36-0 184. 12. 15-94 7-88 68-06 6.31 0.98 7.49 1.31 14 13-9 0. 29 44 84. 50. 20-44 19-18 61-26 4.60 0.83 10-!) 19. 17. 12. 28-7 196. 24. 37-56 33- 3f 64-20 4.82 1.02 7.72 1.05 09 13-6 0.49 47 84. 43. 48-37 47-76 60-61 4.50 1.02 9-2 20. 17. 53. 51-8 208. 41. 46-72 44-97 61-75 3.41 1. 11 7.77 0.74 07 13-3 0.73 50 84.51.39-01 37-07 61-94 4.65 1.21 8-1 21.18.36.43-6 221. 9. 13-8C 15-32 58-54 2.18 1.24 7.65 0.44 10 12-7 1.00 52 85. 13. 55-60 54-99 60-6 5.07 1.39 7-6 22. 19. 22. 1-0 233.52.36-16 42-89 53-27 1.17 1.42 7.37 0.20 16 12-4 1.28 52 85. 50. 30-43 33-89 56-54 5.75 1.56 7-5 Feb. 3. 5. 21. 16-9 34. 45. 53-78 52-61 61-17 10.64 3.00 0.33 ! 1.05 09 8-9 2.58 17 94. 56. 15-40 19-82 55-64 15.58 0.69 36-4 4. 6. 12. 21-8 49. 11. 26-42 31-50 54-92 12. 00 2.81 0.22 0.74 07 8-6 2.40 14 94. 21. 27-83 32-48 55-3o 14.92 0,49 38-3 6. 7.57.15-1 77. 4.63-06 56-15 66-91 13.72 2.32 0.55 0. 18 15 7-8 1.92 09 92. 30. 18-3S 17-21 61-1 12.84 0.2 40-0 7. 8.50.51-4 90. 35. 54-58 43-58 71-00 14.00 2.05 0.97 0.03 24 7-6 1.64 08 91. 21. 51-7f 48-34 63-4 11. 57 0. 1 39-8 8. 9.44.21-1 103. 51.48-5S 38-04 70-51 13. 8fi 1.80 1.55 0.0 34 7-3 1.3C 08 90.10. 15-41 12-52 62-8 10.25 0.1 39-0 Sub. Sub. Sub Sub. Sub. Sub Sub Sub. Sub Sub Sub. Sub Sub. g fc e \ II s . x x ( 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 GO'O 10.21 1.0 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [37] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. So 1M- ISS -f.u-,0 J Excess of Observed Longitude. g II a f c Change forO? 1 in Argument. Parallactic Inequality. Variation. Change forO-l 1 in Argument. !! 3 s < cr W Evection. Change for Q%'l 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. Eicess of Ob- 1 served Ecliptic 1 N. P. D. Effect of Mean Inclination. Change for Oe- 1 1 in Argument. f *: o . , O> f< t . W W 1759. * - Feb. 11.12.15.18-7 o / // 142. 24. 24-90 // 27-89 /t 57-01 1 v 11.52 * x 0.69 \\ 54 6-6 % 0.56 1-2 O f tf 86. 53. 51-49 // 51-78 ft 59-71 g ' 6.66 * 0.30 33-7 1.20 3.82 11. 12. 17. 27-6 142. 25. 29-68 33-40 56-28; 11.52 1.20 3.82 0.69 54 6-6 0.56 12 86. 53. 54-23 47-09 67-14 6.66 0.30 33-7 Mar. 5. 5.52.54-6 72. 45. 27-53 27-34 60-19, 13.35 2.48 0.26 0.91 08 1-9 2.79 24 92. 38. 56-63 58-94 57-69 13.09 0.22 31-6 6. 6.47. 3-2 86. 29. 43-39 42-63 60-76 13.88 2.22 0.25 0.59 08 1-8 2.69 20 91. 32. 15-07 16-70 58-37 11.83 0. 14 34-3 7. 7.40.50-7 99. 51. 13-46 10-58 62-88 14.01 1.95 0.40 0. 30 12 1-7 2.54 16 90. 22. 17-86 18-12 59-74 10.51 0. 10 36-4 9. 9.24. 8-0 125. 40. 51-76 55-73 56-03 13.14 1.48 1.25 0.00 29 1-3 2.11 11 88. 7.28-19 20-45 67-74 7.97 0.17 39-4 10. 10. 12. 28-0 138. 16. 29-43 29-74 59-69 12. 22 1.30 1.88 0. 05 39 1-2 1.84 09 87. 8. 38-56 31-06 67-50 6.88 0.27 39-9 11. 10. 58. 22-4 150. 43. 12-19 16-97 55-22 11.05 1. 15 2.60 0.24 47 1-1 1.57 08 86. 18. 51-73 46-56 65-17 5.95 0.40 39-9 12.11.42. 7'8 163. 3.39-71 43-43 56-28 9.69 1.04 3.41 0.52 53 1-0 1.28 08 85.40. 7-53 0-31 67-22 5.23 0.56 39-5 13. 12. 26. 15-8 175. 20. 33-09 48-03 45-06 8.22 0.99 4.24 0.85 54 0-9 1.00 09 85. 13. 35-98 35-98 60-00 4.75 0.74 38-6 16. 14. 29. 31-2 212. 0.53-28 61-73 51-55 3.74 1.08 6.49 1.51 33 0-6 0.31 16 85. 15. 38-12 42-50 55-62 4.83 1.30 33-1 17. 15. 12. 7-7 224. 19. 8"29 18-53 49-76 2.46 1.21 7.06 1.49 23 0-5 0.15 20 85. 43. 24-69 26-54 58-15 5.36 1.48 30-4 Apr. 2. 4. 38. 51-4 81.21. 6-55 8-81 57-74 13.60 2.38 0.63 1.31 16 o-o 2.65 41 91.42.31-07 30-65 60-42 12.18 0.15 18-4 3. 5.34.35-8 95. 12. 59-50 61-39 (58'H) 13.97 2.12 0.34 1.06 10 o-o 2.77 37 90. 31. 34-64 13-10 (81-54) 10.83 0.10 21-7 5. 7.20.58-8 121.37. 8-62 6-48 62-14 13.56 1.62 0.29 0.45 09 0-1 2.83 28 88. 13. 58-71 54-56 64-15 8.22 0.16 27-8 7. 8. 56. 53-9 146. 47. 18-27 14-09 64-18 11.80 1.24 0.94 0.03 23 0-2 2.65 19 86. 23. 47-79 48-07 59-72 6.12 0.37 33-3 10. 11. 4. 32-8 183. 33. 28-60 27-85 60-75 7.64 0.98 2.94 0.36 50 0-4 2.04 10 85. 2.21-09 18-82 62-27 4.54 0.88 38-7 12. 12. 28. 27-2 208. 2.27-33 36-39 50-94 4.62 1.03 4.59 1.00 53 0-5 1.50 08 85.14.36-12 39-65 56-47 4.75 1.26 40-0 ,13. 13. 10. 42-2 220. 21. 55-47 64-04 51-43 3.23 1.13 5.40 1.28 47 0-6 1.21 08 85. 41. 5-49 7-57 57-92 5.23 1.44 39-9 14. 13. 54. 45-3 232. 47. 26-09 36-16 49-93 2.03 1.27 6. 12 1.46 39 0-7 0.94 09 86.20. 4-07 8-37 55-70 5.96 1.60 39-3 15. 14. 41. 9'5 245.21. 14-50 26-56 47-94 1.06 1.45 6.75 1.52 29 0-8 0.68 11 87. 10. 20-93 20-37 60-56 6.90 1.73 38-1 17. 16. 21. 57-4 271. 5. 30-74 38-70 52-04 0.05 1.91 7.60 1.22 12 1-1 0.26 17 89. 16. 15-54 18-58 56-96 9.26 1.89 34-3 18. 17. 15. 48-9 284. 22. 42 62 52-80 49-82 0.11 2.17 7.75 0.93 08 1"2 0.12 21 90. 26. 46-62 44-64 61-98 10.60 1.90 31-8 20. 19. 6. 28-4 312. 5.26-13 37-03 (49-10) 1.40 2.68 7.56 0.33 12 1-4 0.00 30 92. 44. 65-50 46-60 (78'90) 13. 22 1.76 25-5 May 1. 4. 18. 54-9 103. 6.31-84 33-97 57-87 14.01 2. 02 0.84 1.40 20 2-9 2. 09 50 89. 34. 54-89 44-43 70-46 9.89 0.10 10-2 2. 5.13.40-1 116. 37. 51-52 56-17 55-35 13.84 1.76 0.46 1.20 13 3-3 2.33 47 88.23.57-86 50-34 67-52 8.55 0.14 12-2 3. 6. 5.19-6 129. 4-2. 57-28 56-34 60-94 13.31 1.53 0.26 0.92 08 3-4 2.53 44 87. 20. 26-98 16-89 70-09 7.35 0.22 14-8 6. 8.21.59-6 167. 12.41-15 40-24 60-91 10.03 1.07 0.72 0.10 18 4-0 2.83 31 85. 14. 10-51 1-51 69-00 4.93 0. 6( 22-9 8. 9. 44. 6-9 191. 37. 19-62 13-61 66-01 7. OG 0.97 1.83 0.04 38 4-4 2.74 22 84. 54. 39-64 26-97 72-67 4.50 1.03 28-7 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. 6o'-00 7.02 2.00 4.00 0. 76 30 20-8 1.42 30 6o'-00 > 10. 21 1. 00 23-7 [38] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich "3 p-H W -tJ so .J M Ecliptic H 1 U b'r * Mean Solar Time of Longitude of si! U si .." C >- o II ce fl _O c || si I c -. O> 2 3 N.P.D. of li O frl . " S o o O S3 rt Ji 1 c . C i. Observation of Moon's Center from Ill wo g* * J5 If | J| .Is 1 e >; C rt 1 K ff Moon's Center from o _ . " ft // s ' \ \\ > May 9. 10. 24. 57'9 203.51.45-97 41-34 64-63 5.54 0.99 2.55 0.22 47 4-6 2.62 18 85. 5.37-28 30-24 67-04 4.67 1.22 31-3 10.11. 6.47-5 216. 11.43-45 35-04 68-41 4.08 1.06 3.35 0.49 52 5-0 2.44 15 85. 30. 25-22 18-70 66-52 5.11 1.40 33-7 15.15.11.58-0 280. 18. 16-07 19-40 56-67 0.03 2.00 7.02 1.49 24 6-1 1. 14 08 90. 16. 0-88 4-81 56-07 10.33 1.90 40-0 17.17. 1.32-1 307.32.30-52 35-17 55-35 0.83 2.53 7.70 1.09 09 6-6 0.61 12 92. 36. 36- 7S 30-46 66-29 12.95 1.79 38-4 18.17.55.36-1 321.36.23-58 31-61 51-97 1.81 2.77 7.78 0.78 07 7-0 0.40 15 93. 37. 15-55 9-30 66-25 14.09 1.66 30-7 June 2. 6. 18. 26'7 162. 32. 25-53 23-68 61-85 10.87 1.13 0.23 0.78 07 11-3 2.15 49 85. 14. 14-39 3-61 70-78 5. 06 0.61 9-4 4. 7.41.38-4 187. 5.47-86 51-64 56-22 8.01 0.98 0.51 0.21 14 11-8 2.58 43 84.45.67-12 58-01 69-11 4. 50 0.98 12-9 6. 9. 3.34-4 211.35.51-85 52-48 59-37 4.97 1.01 1.46 0.00 33 12-4 2.80 35 85. 14. 33-36 28-53 64-83 4.97 1.36 18-0 7. 9.46.23-4 224. 0. 52-33 44-91 67-42 3.56 1.10 2.13 0.11 42 12-7 2.83 30 85. 49. 20-74 18-27 62-47 5.59 1.53 20-7 8.10.31.30-5 236. 36. 54-30 46-30 68-00 2.30 1.23 2.88 0.33 50 13-0 2.80 25 86. 36. 47-61 44-15 63-46 6.44 1.68 23-7 9.11.19.29-7 249. 26. 26-98 20-36 66-62 1.27 1.40 3.70 0.64 54 13-3 2.72 21 87.35.18-19 11-97 66-22 7.49 1.79 26-8 14. 15. 52. 17-3 317.21.11-95 5-83 66-12 1.16 2. 62 7.22 1.43 19 15-1 1.63 08 93.26. 11-49 7-83 63-66 13.88 1.69 38-9 17. 18. 27. 22-8 0. 43. 23-66 32-93 50-73 5.34 3.14 7.74 0.63 08 16-0 0.79 10 95. 14. 46-30 41-61 64-69 15.89 1.10 39-4 July 4. 7.41. 5-9 218.57.58-86 66-68 52-18 4.43 1.04 0.69 0. 12 18 22-1 2.21 49 85. 31. 54-45 44-75 69-70 5.39 1.48 8-4 5. 8.24.57-8 231. 25. 47-33 54-92 52-41 3.06 1.14 1.17 0.01 27 22-4 2.44 46 86. 14. 37-91 26-36 71-55 6.17 1.64 9-7 6. 9. 11. 35-7 244. 7.45-43 48-40 57-03 1.88 1.29 1.78 0.03 37 22-7 2.61 42 87. 8.62-23 53-41 68-82 7.16 1.76 11-5 7.10. 1.28-2 257. 7.26-56 25-10 61-46 0.95 1.47 2.49 0.20 46 23-0 2.74 38 88.13.21-76 17-73 64-03 8.33 1.85 13-7 8. 10. 54. 33-2 270.27. 2-21 2-87 59-34 0. 32 1.69 3.29 0.47 52 23-3 2.82 33 89.25. 4-90 1-61 63-29 9.63 1.90 16-3 9.11.50. 8-9 284. 7. 19-52 21-24 58-28 0.04 1.94 4. 12 0.80 54 23-7 2.83 29 90. 40. 35-04 30-55 64-49 11. 00 1.89 19-4 9. 11.52.30-9 284. 8.42-44 3994 62-50 0.04 1.94 4.12 0.80 54 23-7 2.83 29 90. 40. 44-61 37-81 66-80 11.00 1.89 19-4 10. 12. 49. 19-6 298. 8.35-94 31-88 64-06 0. 15 2.21 4.94 1. 12 51 24-0 2.79 36 91.55.27-92 24-07 63-85 12.36 1.83 22-7 11.13.45.47-7 312.25. 15-02 12-92 62-10 0.66 2.47 5.72 1.37 44 24-6 2.68 20 93. 4.27-18 26-64 60-54 13.60 1.72 26-3 12. 14. 40. 46-4 326.55.11-93 4-79 67-14 1.55 2.72 6.40 1.50 35 24-9 2.53 16 94. 2.49-07 43-31 65-76 14.65 1.57 29-5 13. 15. 33. 45-7 341.34.20-20 4-44 75-76 2.79 2.93 6.98 1.49 24 25-2 2.33 13 94. 45. 48-03 48-21 59-82 15.42 1.37 32-7 14.16.24.57-8 356. 18.32-90 17-31 75-59 4.31 3.08 7.42 1.35 15 25-6 2.09 11 95. 10. 23-46 22-78 60-68 15.85 1.15 35-4 15.17.15. 4-4 11. 4.16-18 13-72 62-46 6.00 3.17 7.69 1. 10 09 25-9 1.83 09 95. 14. 44-62 34-78 69-84 15.91 0.92 37-7 17.18.55.54-4 40. 30. 12-76 12-93 59-83 9.47 3.10 7.69 0.49 09 26-5 1.27 08 94. 22. 21-91 14-84 67-07 14. 92 0.49 39-9 31. 5.35.48-2 213. 53. 36-51 39-86 56-65 5.34 1.00 0.24 0.81 07 30-9 0.89 51 85. 22. 65-05 50-41 74-64 5.20 1.43 11-2 Aug. 1. 6.18.22-6 226. 10. 44-24 52-18 52-06 3.89 1.07 0.27 0.50 08 31-2 1.17 52 85.59.61-18 55-34 65-84 5.90 1.59 9-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. a K \ g \ g \ e > \ \\ , 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1. 00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [39] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. -J-g 1-s.i ^oJ Fxcess of Observed Longitufle. 11 E~~ V g A 1 Change for 05-1 in Argument. Parallactic Inequality. Variation. 1 Change for Os-1 1 in Argument. !! g < s Ejection. Change for Os-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. '. . 2=50 owp; S'Zz c Ed g Effect of Mean Inclination. Change for Os-1 1 in Argument. ! .2e* |z WtQ 1759. d h m ' Aug. 3. 7.51. 6-6 ' II 251. 20. 53-04 a 57-35 55-69 e v 1.50 v 0.05 22 \ 31-7 g v 1.75 52 ' n 87. 47. 56-05 II 53-95 II 62-10 g * 7.92 1.83 7-6 1.35 0.87 5. 9. 36. 43-4 277. 52. 15-82 23-65 52-17 0.17 1.78 2.08 0. 10 42 32-5 2.27 48 90. 8.19-23 17-72 61-51 10.52 1.90 7-9 7.11.30.51-8 306. 5.55-75 64-95 50-80 0.29 2.31 3.64 0.63 54 33-1 2.66 41 92. 34. 31-00 26-08 64-92 13.20 1.77 10-8 8. 12. 30. 5-7 320. 48. 56-40 68-22 48-18 0.95 2.57 4.53 0.96 53 33-3 2.77 37 93. 37. 43-73 35-71 68-02 14.34 1.62 13-3 9. 13. 25. 19-7 335.47. 9-57 15-51 54-06 1.98 2.80 5.34 1.25 48 33-6 2.83 32 94. 26. 61-17 55-10 66-07 15.23 1.43 16-3 10. 14. 18. 41-2 350. 54. 56-70 47-85 68-85 3.33 2.99 6.07 1.45 40 33-8 2.82 28 94. 58. 14-24 11-60 62-64 15.77 1.21 19-9 11. 15. 10. 30-9 6. 4. 21-98 18-24 63-74 4.93 3.12 6.71 1.52 30 34-3 2.76 23 95. 8.54-04 44-61 69-43 15.93 0.97 23-5 12. 16. 1. 36-0 21. 9. 8-00 1-49 66-51 6.67 3.18 7.22 1.44 20 34-6 2.65 19 94. 57. 59 96 54-49 65-47 15.69 0. 74 27-3 13. 16. 52. 50-7 36. 3. 55-63 43-85 71-78 8.44 3.15 7.58 1.24 12 34-8 2.48 15 94. 26. 60-08 58-85 61-23 15.08 0.53 30-6 15. 18. 38. 47-5 Go. 11. 61-23 52-05 69-18 11.56 2.88 7.75 0.64 08 35-3 2.03 10 92. 37. 24-85 27-48 57-37 13.00 0.21 36-3 28. 4. 13. 25-1 221. 19. 8-98 15-53 53-45 4.79 1.02 0.51 1.24 14 38-2 0. 12 39 85. 55. 22-47 9-48 72-99 5.69 1.55 23-5 30. 5.42.38-3 245. 57. 54-23 G5-3G 48-87 2.15 1.25 0.23 0.66 07 38-5 0.46 47 87. 33. 42-36 30-39 71-97 7.56 1.80 17-7 31. 6.31.28-9 258. 37. 31-98 36-41 55-57 1.15 1.42 0.35 0.36 10 38-7 0.69 49 88. 35. 62-05 55-06 66-99 8.75 1.87 15-0 Sep. 3. 9. 14. 43-7 299. 2. 14-58 22-01 52-57 0.08 2.14 1.73 0.03 37 39-1 1.54 53 92. 6. 11 61 17-00 54-61 12.70 1.81 8-8 4.10.11.46-7 313. 29. 49-88 55-68 54-20 0.49 2.41 2.44 0.19 46 39-4 1.83 52 93.11. 8-32 12-75 5557 13.92 1.68 7-7 5.11. 8.11-6 328. 25. 47-45 51-59 55-86 1. 30 2.66 3.23 0.46 52 39-6 2.10 50 94. 5. 11-25 11-06 60-19 14.92 1.51 7-4 6. 12. 3. 19-3 343. 44. 24-43 26-02 58-41 2.45 2.88 4.06 0.78 54 39-7 2.84 47 94. 42. 55-97 61-22 54-75 15.61 1.30 7-9 6. 12. 5. 38-7 343. 45. 48-97 52-58 56-39 2.46 2.88 4.06 0.78 54 39-7 2.34 47 94. 42. 58-20 63-76 54-44 15.61 1.30 7-9 9. 14. 45. 20-3 30. 24. 18-61 18-08 60-53 7.34 3.18 6.36 1.50 35 40-1 2.79 35 94. 29. 54-09 53-46 60-63 15.29 0.59 14-3 10. 15. 38. 53-5 45. 38. 47-07 49-50 57-57 9.08 3.12 6.95 1. 50 25 40-2 2.83 31 93. 44. 47-65 43-81 63-84 14.42 0.39 17-7 11. 16. 33. 34-6 GO. 32. 33-86 40-86 53-00 10.68 2.99 7.39 1.36 16 40-4 2.81 26 92.45. 5-78 3-97 61-81 13.28 0.24 21-2 12. 17. 29. 26-4 75. 3. 25*31 23-92 61-39 12.04 2.80 7.67 1.12 10 40-5 2.74 22 91.36. 3-04 2-63 60-41 11.96 0.14 24-7 13. 18. 25. 55-9 89. 11. 8-39 1-87 66-62 13.08 2.57 7.78 0. 81 07 40-6 2.61 18 90. 22. 49-49 49-19 60-30 10.57 0.10 28-0 15. 20. 16. 35-5 116. 24. 26-25 20-89 65-36 14.01 2.04 7.42 0.24 15 40-8 2.20 12 88. 1.51-89 57-20 54-69 7.90 0.18 33-9 28. 5. 14. 25-6 266. 21. 19-76 26-10 536(> 0. 84 1.50 0.24 0.83 07 41-6 0.05 36 89.31.66-87 5293 73-94 9.66 1.90 28-3 29. 6. 6.45-0 279. 16. 39-71 46-73 52-98 0.26 1.73 0.26 0. 51 08 41-6 0.15 40 90. 40. 12-77 10-62 62-15 10. 95 1.89 25-2 30. 7. 1. 2-7 292. 36. 56-45 60-19 56-2(5 0.03 1.98 0.46 0.24 13 41-6 0. 31 44 91. 48. 24-87 26-50 58-37 12. 25 1.84 22-2 Oct. 1. 7.56.23-9 306. 2G. 51-34 42-50 68-84 0.19 2.24 0.84 0.06 21 41-6 0.52 47 92. 52. 47-04 50-13 56-91 13. 47 1.74 18-9 2. 8.51.48-9 320. 48. 37-04 36-9(5 60-08 0.75 2.50 1.37 0.00 31 41-6 0.76 50 93. 48. 45-77 50-05 55-72 ,14.54 1.59 15-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 60- Of 7.02 2. 00 4.00 e \ 0.76 30 20-8 g 1.42 30 60-00 10.2i V \\ 1.00 |23-7 [40] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for Os- 1 1 in Argument. 11 Variation. Change for OB- 1 1 in Argument. Annual Equation. Evection. Change for Os-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. ot % "3 S $ z g Effect of Mean Inclination. Change for 0?-1 in Argument. |o MM 1759. d h m s Oct. 4. 10. 40. 47-0 Of" 351. 5. 0-14 0-7 it 59-3 g * 2 9 1 " 2.9 \ \ 2.8 0. 30 49 41-6 f 1.3 53 1 n 94.56. 3-8S ff 9-4( ff . 54- 3C g v 15. 8-5 U. 16 10-2 5. 11. 34. 28-0 5. 11. 36. 46-8 6. 47. 63- 3S 6. 49. 33' 8C 57-7 25-8 65-6 67-9 4.51 4.51 3.1 3.1 3.64 3.64 0.61 0.61 53 53 41-5 41-5 1.6 1.62 52 52 94.69. 11 -61 94.59. 11-8; 17-4S 16-61 54-21 [ 55-20 15.91 15.91 0.9- 0.92 8-5 8; 5 6. 12. 30. 40-2 22. 42. 14-01 7-6 66-37 6.23 3.1 4.4 0.94 63 41-5 1.90 51 94. 39. 38-34 32- IS 66-22 15. 5 0.68 7-6 7. 13. 25. 27-9 38. 32. 14-91 14-99 59-92 8.01 3.1 5.29 1.24 49 41-5 2.17 49 93. 58. 23'6 22-95 60-74 14. 7 0.46 7-5 8. 14. 21. 41-0 54. 8.11-34 19-02 52-32 9.71 3.08 6.02 1.44 40 41-4 2.40 46 92.59.51-12 50-23 60- 8 13.68 0.28 8-4 12. 18. 12. 17-1 112. 10. 3-55 5-09 58-46 13.88 2.2 7.74 0.97 08 41-2 2.83 29 88. 7.35-90 33-73 62-1- 8.16 0.16 18-2 13. 19. 5. 47-0 125. 32. 48-62 47-27 61-35 14.00 1.94 7.75 0.66 08 41-1 2.80 25 87. 5. 18-00 15-04 62-96 6.9- 0.26 21-2 14. 19. 55. 55-9 138. 34. 43-30 43-57 59-73 13.73 1.70 7.60 0.36 11 41-0 2.71 21 86. 13. 47-02 47-99 59-03 6.98 0.39 24-2 28. 5.46.51-6 300.53. 6-54 11-52 55-02 0.04 2.08 0.23 0.68 07 39-4 0.01 28 92. 42. 60-66 59-97 60-69 13.12 1.77 34-9 31. 8.26. 1-7 343. 21. 49-78 44-68 65-10 2.14 2.83 1.09 0.01 26 38-9 0.19 41 94.56. 3-50 19-31 44-19 15.69 1.26 25-5 Nov. 1. 9. 18. 14-5 358. 30. 26-50 28-66 57-84 3.52 3.01 1.68 0.02 36 38-7 0.36 45 95. 7.18-57 20-43 58-14 15.93 1.03 21-9 2. 10. 10.51-9 14. 3.45-49 39-00 66-49 5.14 3. 13 2.38 0.17 45 38-6 0.58 48 94. 56. 23 97 22-71 61-26 15. 76 0.78 18-2 3.11. 4.43-3 29. 52. 53-41 45-21 68-20 6.89 3.18 3.17 0.44 52 38-4 0.83 51 94. 22. 47-47 52-68 54-89 15.18 0.55 14-8 5. 13. 1. 14-4 61. 34. 38-74 33-18 65-56 10.30 3.03 4.82 1.09 52 37-8 1.41 53 92. 19. 17-60 12-23 65-37 12.94 0.21 9-4 6.14. 1.25-7 77. 2.32-93 34-88 58-05 11.73 2.85 5.62 1.35 45 37-6 1.70 52 91. 0.24-77 22-97 61-80 11.48 0.12 8-0 8. 16. 1. 50-3 06.33.49-09 63-25 45-84 3.62 2.37 6.95 1.50 25 37-2 2.24 48 88.22.15-18 14-01 61-17 8.55 0. 14 7-7 13.20. 8.20-7 72. 15. 34-95 51-36 43-59 1.76 1.23 7.44 0.25 14 36-0 2.83 28 84. 50. 34-29 44-65 49-64 4.54 0. 89 16-8 14. 20. 49. 25-5 84. 33. 51-46 71-48 39-98 0.52 1.10 7.02 0.09 23 35-7 2.78 24 84. 50. 45-71 63-47 42-24 4.52 1.08 19-7 27. 6. 18. 16-3 337. 36. 22-03 25-53 56-50 1.43 2.69 0.26 0.53 08 32-4 0. 14 20 94. 56. 15-21 17-26 57-95 5.55 1. 32 38-7 28. 7. 8.25-0 52. 0. 5-39 7-71 57-68 2.62 2.90 0.46 0.25 13 31-9 0.04 25 95. 13.4709 50-07 57-02 5.89 1.10 37-0 29. 7.58.32-9 6. 47. 49-70 49-88 59-82 4.11 3.07 0.84 0.06 21 31-6 0.00 29 95. 11.22-67 2352 59-15 15.88 0.87 34-5 30. 8.49.37-7 21. 57. 25-35 27-48 57-87 5.79 3.16 1.37 0.00 31 31 3 0.02 34 94. 47. 25-36 31-44 53-92 15.46 0.64 31-6 Dec. 2.10.38.36-1 53. 0.29-07 27-25 61-82 9.28 3.11 2.77 0.29 49 30-7 0.23 42 92.59. 16-31 20-36 55-95 13. 54 0.27 24-2 3. 11.37.34-6 3. 11. 37. 34-6 68.36.48-10 68.36.49-19 43-77 43-77 54-33 65-42 0.87 0.87 2.97 2.97 3.58 3. 58 0.59 0.59 53 53 30-4 30-4 0.42 0.42 46 46 91.42.35-89 91. 42. 29-26 38-59 38-59 57-30 50-67 12.16 12.16 9.15 9.15, 20-4 20-4 7. 15. 40. 10-6 27. 58. 19-20 30-76 48-44 4. 01 2.01 6.63 1.52 31 28-9 1.49 53 86.34. 0-26 1-60 58-66 6.55 3; 31 9-3 8. 16. 32. 27-8 41. 36. 54-00 59-67 54-33 3.83 1.75 7.16 1.46 21 28-6 1.78 52 85. 42. 59-43 57-28 62-15 5.62 3.47 8-1 9. 17. 20. 29-9 54. 47. 43-80 53-30 50-50 3.29 1.63 7.63 1.27 13 28-3 2.05 50 85. 7.29-53 21-8-2 67-71 4. 96 3.65 7'5 10. 18. 5. 3-5 67. 35. 33-01 46-16 46-85 2.43 1.33 7.74 0.99 08 28-0 2.30 48 84. 47. 35-25 30-73 64-52 4. 59 3. 84 7-5 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. a \ 1.42 >ub. 30 Sub. (50-00 Sub. 10.2i Sub. \ \\ L.OO, Sub. 23-7 I. 00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [41] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. >> V 11 WJ Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. Change for 0^-1 1 in Argument. Annual Equation. Evection. Change for fls-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. n d *ss 81* 3 Effect, of Mean Inclination. Change for OK- 1 1 in Argument. ! .2Pn fz wa 1759. " h - . O I II n ii g ^ \ \\ \ v\ g * \ g * v\ 1 II II n g v \ \v \ Dec. 11. 18.47. 9-7 180. 5.43-98 58-90 45-08 11.32 1. 18 7.76 0.68 07 27-7 2.50 44 84.43. 7-72 2-88 64-84 4.50 1.03 8-1 1 12. 19. 27. 53-3 192. 23. 54-04 67-49 46-55 10.00 1.06 7.61 0.39 11 27-4 2.67 41 84.53.21-94 15-99 6595 4.68 1.22 9-1 14. 20. 49. 20-9 216. 45. 24-35 32-72 51-63 7.02 0.97 6.79 0.06 27 26-4 2.83 32 85. 53. 54-63 54-48 60-15 5.76 1.57 12-6 26. 5. 53. 44-5 1. 41. 35-62 35-77 59-85 3.17 2.97 0.22 0.70 07 22-6 0.65 11 95. 16. 24-29 27-80 66-49 15.91 0.93 39-7 27. 6.42.46-8 16. 15. 2-40 7-11 55-29 4.73 3.11 0.33 0.39 10 22-1 0.42 14 95. 0. 25-68 31-73 53-95 15. 62 0.71 40-0 28. 7.32.53-3 31. 2. 8-60 12-08 56-52 6.46 3. 17 0.60 0. 15 16 21-8 0.24 18 94. 24. 34-14 39-95 54-19 14. 96 0.50 39-5 31. 10. 19. 32-8 76. 16. 20-00 20-15 59-85 11.40 2.90 2.33 0. 16 45 20-5 0.00 31 91. 2. 4-19 3-11 61-08 11.28 0. 11 33-5 17GO. Jan. 1. 11. 20. 30-4 91. 20. 46-20 45-45 60-75 12.61 2.69 3. 12 0.42 51 20-1 0.04 35 89. 38. 57-54 56-18 61-36 9.77 0.10 30-4 2. 12.21.46-2 106. 12. 47-89 57-64 50-25 13.47 2.44 4.00 0.75 54 19-8 0. 13 40 88. 18.28-98 26-24 62-74 8.31 0.15 27-0 2. 12.24. 13-5 106. 14. 16-35 24-47 51-88 13.47 2.44 4.00 0.75 54 19-8 0. 13 40 88.18.21-06 18-66 62-40 8.31 0.15 27-0 3. 13. 23. 29-2 120. 47. 12-35 18-16 54-19 13.93 2.17 4.82 1.07 52 19-5 0.28 43 87. 6. 14-07 1666 57-41 7.01 0.25 23-5 8. 17.23.28-7 187. 22. 30-09 40-90 49-19 10.84 1.13 7.65 1.15 10 17-5 1.56 52 84. 49. 26-34 20-86 65-48 4.60 1.17 10-1 22. 3.51.50-1 357. 22. 36-93 35-43 61-50 2.31 2.86 0.75 1.37 19 12-7 1.94 10 95. 11.20-71 19-44 61-27 15.93 0.97 29-2 25. 6. 20. 19-1 41. 6.22-67 21-78 60-89 7.13 3. 18 0.26 0.55 08 11-8 1. 10 09 93. 43. 19-00 30-91 48-09 14. 23 0.36 37-5 26. 7. 13. 11-6 55. 46. 13-42 14-51 58-91 8.88 3.13 0.44 0.27 12 11-5 0.83 10 92.41. 11-54 16-58 54-96 13.06 0.22 39-0 28. 9. 7. 9-9 85. 5. 12-47 10-57 61-90 11.90 2.83 1.33 0.00 30 10-9 0. 37 15 90. 10. 3-61 2-93 60-68 10.25 0. 10 39-9 29. 10. 6. 48-7 99.38.58-17 56-36 61-81 12.98 2.60 1.98 0.07 40 10-3 0.20 19 88.51.33-25 34-79 58-46 8.81 0. 13 39-3 Feb. 2. 13. 47. 39-6 155. 43. 28-47 33-95 54-52 13. 46 1.58 5.17 1.21 49 9-2 0.06 36 85. 12. 33-80 31-57 62-23 4.82 0.70 30-6 5.15.58.41-0 194. 25. 21-99 39-24 (42-75) 10.34 1.09 7.12 1.47 22 8-1 0.54 48 85. 8. 6-95 9-33 (57-62) 4.82 1.30 21-7 6. 16. 39. 50-0 206. 47. 55-56 58-58 56-SI8 8.91 1.01 7.51 1.29 13 7'8 0.78 50 85. 35. 39-99 34-17 65-82 5.35 1.47 18-7 7.17.21.20-9 219. 1.32-98 40-04 52-94 7.40 0.97 7.73 1.02 08 7-6 1.05 52 86. 14. 60-21 50-66 69-55 6. 10 1.63 16 1 9. 18. 49. 4-0 243. 25. 59-66 71-43 48"23 4.39 1.04 7.63 0.41 10 7-1 1.63 52 88. 1.52-15 48-61 63-54 8.12 1.84 11-5 22. 5. 9.36-9 51. 24. 24-79 29-77 55-02 7.81 3.17 0.31 1.02 09 4-0 2. 13 11 92. 47. 41-25 51 28 49-97 13.31 0.24 26-8 24. 7. 1. 17'2 80. 30. 54-74 59-15 55-59 11.07 2.95 0.31 0.41 10 3-6 1.59 08 90. 22. 57-61 60-30 6731 10.57 0. 10 33-3 25. 7.59.31-0 94. 49. 24-52 31-45 53-07 12. 35 2. 74 0.60 0. 16 16 3-4 1.30 08 89. 7. 16-73 14-20 62-53 9.14 0.11 35-8 27. 9.54. 3-5 122.53.58-13 69-73 48-40 13. 85 2.24 1.63 0.02 35 3-0 0.76 10 86. 52. 60-00 55-21 64-79 6.60 0.30 39-2 28. 10. 47. 34-1 136. 38. 0-79 10-61 50-18 14.01 1.97 2.33 0.15 44 2-9 0.52 13 86. 2. 12-62 4-91 67-71 5.65 0.46 39-9 29.11.37.40-4 150. 8.14-33 23-76 50-57 13.78 1.72 3.12 0.41 51 2-5 0.32 16 85. 25. 45-89 38-04 67-85 4.97 0.64 39-9 Mar. 1. 12. 24. 32-7 163. 23. 42-51 50-42 52-09 13.20 1.50 3.94 0.73 54 2-4 0. 16 20 85. 4.48-26 50-74 57-52 0.84 39-4 1.12.26.40-7 163. 24. 47-21 58-40 48-81 13.20 1.50 3.94 0.73 54 2-4 0. 16 20 85. 4. 48-34 49-64 58-70 4.59 0.84 39-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o"-00 S \ 7.02 2.00 \ \\ 4.00 0. 76 30 20-8 1.42 30 60-00 10.21 \ \\ 1.00 23-7 GREENWICH LUNAR REDUCTIONS. [G] [42] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. >, S " Change for 06- 1 1 in Argument. Parallactic Inequality. Variation. 1 Change for 0-"1 in Argument. ll " Evection. Change for OS- 1 1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. '- * fe -^ CO Effect of Mean Inclination. 1 Change for O'-l 1 in Argument. Evection in E. N.P.D. 1760. *..*' Mar. 4.14.34.43-5 o t a 201. 41. 50-36 52-94 ft 57-41 9.81 \ v\ 1.05 6.27 g ' 1.48 v\ 37 1-9 0.01 \v 33 o r rr 85. 34. 35-42 33-16 62-26 e v 5.17 1.42 34-5 7. 16. 42. 25-4 238. 25. 25-02 24-31 60-71 5.30 1.00 7.63 1.17 11 1-4 0.37 45 87. 52. 55-62 52-98 62-64 7.80 1.82 27-0 10. 19. 8. 10-9 275. 35. 41-03 41-84 (59-19) 1.47 1.36 7.51 0.29 13 1-1 1.13 52 91. 5.34-38 18-78 (75-60) 11.44 1.88 18-2 21. 3. 57. 56-7 61. 7.25-22 29-04 56-18 8.47 3.15 0.78 1.38 19 0-2 2.78 24 91. 47. 15-36 23-12 52-24 12. 32 0.16 14-1 22. 4.55.40-7 75. 58. 59-64 65-65 53-99 10.14 3.05 0.42 1.17 12 0-2 2.67 20 90. 30. 57-69 63-10 54-59 10.88 0.11 17-2 27. 9.34. 9-7 145. 41. 11-35 23-58 47-77 13.97 1.88 1.29 0.00 30 o-o 1.51 08 85. 28. 35-88 26-20 69-68 5.10 0. 60 33-3 28.10.21.13-0 158. 49. 29-71 40-65 49-06 13.60 1.64 1.93 0.07 40 o-o 1.23 08 85. 5.53-25 46-99 66-26 4.65 0.79 36-6 29. 11. 5. 34-3 171. 44. 56-81 65-50 51-31 12.89 1.42 2.66 0.26 48 o-o 0.95 09 84. 58. 50-40 41-45 68-95 4.50 0. 99 37-5 30.11.48. 1-9 184.28.33-39 42-24 51-15 11.90 1.25 3.46 0.55 53 o-o 0.69 11 85. 6.54-32 47-38 60-94 4.63 1.19 38-9 31.12.31.30-3 197. 2.19-76 36-95 42-81 10.67 1.11 4.30 0.88 54 o-o 0.46 14 85.29. 6-10 6-92 59-18 5.03 1.38 39-7 April 2.13.54.41-7 221.41.50-17 63-23 46-94 7.78 0.97 5.87 1.41 42 o-o 0.13 21 86. 49. 48-91 48-53 60-38 6.51 1.09 39-8 3. 14. 37. 58-2 233.53. 0-07 10-62 49-45 6.24 0.98 6.54 1.51 32 o-i 0.04 25 87.44. 8-95 7-57 61-38 7.52 1.79 39-0 4. 15. 23. 9-0 246. 2.49-90 56-08 53-82 4.74 1.02 7.09 1.47 22 0-1 0.00 29 88. 44. 48-26 43-95 64-31 8.65 1.87 37-9 20. 4. 45. 22-9 99. 49. 39-47 41-55 57-92 12.08 2.79 0.57 1.29 15 1-4 2.83 32 88. 12. 15-89 7-91 67-98 8.37 0.15 10-0 22. 6.40.22-4 128. 7. 6-23 3-40 62-83 13.76 2.30 0.22 0.72 07 1-6 2.75 22 86. 7.42-38 34-91 67-47 6.02 0.39 14-6 24. 8. 20. 4-0 154. 50. 19-75 18-59 61-16 13.87 1.78 0.57 0.17 15 2-0 2.45 15 85. 0.62-24 51-86 70-38 4.72 0.75 20-4 25. 9. 4.49-1 167. 44. 33-63 40-18 53-45 13.37 1.55 1.01 0.02 24 2-2 2.24 12 84. 51. 26-13 13-80 72-33 4.50 0.95 23-5 26. 9. 47. 19-3 180. 25. 14-80 17-29 57-51 12.55 1.35 1.59 0.01 34 2-3 1.99 10 84.57. 8-58 0-27 68-31 4.58 1.15 26-5 27. 10. 28. 31-8 192.55. 0-02 5-66 54-36 11.46 1.19 2.28 0.14 44 2-5 1.72 09 85. 17. 23-77 14-35 69-42 4.92 1.34 29-5 29. 11.50.45-8 217.32. 0-84 8-15 52-69 8.72 1.00 3.88 0.70 54 2-8 1.16 08 86. 35. 18-82 1392 64-90 6.31 1.66 34-3 30. 12. 35. 29-5 229. 44. 46-23 5475 51-48 7.20 0.97 4.71 1.03 52 2-9 0.89 10 87. 29. 10-73 14-92 55-81 7.28 1.77 36-4 May 10. 20. 50. 8-2 359. 45. 56-50 52-09 64-41 1.72 2.75 6.58 0.05 31 5-2 0.49 47 95. 7.59-88 57-07 62-81 15.85 0.85 29-2 23. 7. 46. 45-0 176. 24. 32-49 30-75 61-74 13.09 1.47 0.40 0.29 12 8-3 2.81 26 84. 46. 68-32 52-47 65-85 4.54 1. 11 11-5 24. 8.28.15-9 188. 57. 59-82 58-44 61-38 12.16 1.29 0.75 0.09 19 8-8 2.72 21 85. 3. 56-30 49-54 66-76 4.83 1.30 13-7 25. 9. 8. 59-1 201. 19. 51-22 51-79 59-43 10.99 1.14 1.25 0.00 29 9-1 2.59 18 85. 34. 14-47 2'2-38 52-09 5.37 1.48 16-1 27. 10. 31. 52-6 225.44.61-83 56-06 65-77 8.15 0.98 2.60 0.24 47 9-6 2.18 11 87. 9. 15-20 11-98 63-22 7.06 1175 21-7 28. 11. 15. 37-6 237. 54. 61-26 56-53 64-73 6.61 0.97 3.41 0.53 53 9-9 1.93 09 88. 9.22-26 20-43 61-83 8. 15 1.84 24-5 31. 13. 42. 23-5 274. 48. 37-21 42-53 54-68 2.39 1.22 5.82 1.40 43 10-7 1.09 09 91. 30. 27-92 24-57 63-35 11.79 1.87 32-7 June 2. 15. 25. 27'1 300. 5.47-27 46-34 61-93 0.56 1.59 7.06 1.48 23 11-5 0.57 12 93. 31. 58-03 55-54 62-49 13.99 1.67 36-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. eo'-'oo 7.02 2. 00 \ \\ 4.00 0. 76 30 20-8 1. 42 30 6()-00 10.2i 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [43] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. x u ** 11 a s* c Change for 0?' 11 in Argument. Parallactic Inequality. Variation. Change for 08-1 1 in Argument. 1 Annual Equation. Evection. Change for Os-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. a. I?2 i* 3* Effect of Mean Inclination. Change for 03-1 1 in Argument. \* s*~ SJ ^ Ci f-* w w 1760. J h "' O I II it a g * \ > s % g x \\ o / /' ir if g > v i June 3.16.16.21-7 313. 4. 7-40 7-12 60-28 0.12 1.83 7.47 1.32 14 11-8 0.36 15 94. 19. 34-14 38-73 55-41 14.87 1.52 38-4 18. 4.57.50-3 158. 26. 54-26 49-68 64-58 13.94 1.84 0.60 1.30 15 16-7 2.20 49 84. 47. 39-68 24-29 75-39 4.57 0.85 9-4 19. 5.43.20-1 171. 41. 20-29 21-08 59-21 13.52 1.60 0.33 1.05 10 17-0 2.43 46 84. 43. 34-12 18-28 75-84 4.51 1.06 8-2 21. 7. 7.26-8 197. 4.53-17 56-43 56-74 11.74 1.23 0.30 0.44 09 17-6 2.74 38 85. 21. 59-15 48-62 70-53 5.22 1.44 7-5 22. 7.48.22-3 209. 24. 31-34 34-83 56-51 10.49 1.10 0.55 0.18 15 17-9 2.81 34 86. 0.49-62 44-14 65-48 5.94 1.60 7-9 23. 8.29.55-3 221. 36. 29-65 34-43 55-22 9.08 1.01 0.97 0.03 23 18-2 2.83 29 86. 50. 9-94 8-29 61-65 6.84 1.73 8-9 25. 9. 58. 10-1 245. 57. 12-56 2-55 70-01 6.03 0.98 2.23 0.13 43 19-2 2.69 20 88. 51. 50-55 47-14 63-41 9.06 1.88 12-0 28. 12. 29. 34-9 283. 15. 19-55 8-41 71-14 1.96 1.28 4.65 1.01 53 20-2 2.12 11 92. 13. 10-03 7-51 62-52 12.71 1.81 19-4 28. 12. 29. 34-9 283. 15. 19-35 8-41 70-94 1.96 1.28 4.65 1.01 53 20-2 2. 12 11 92. 13. 11-87 7-51 64-36 12.71 1.81 19-4 29. 13. 21. 43-0 296. 2. 16-89 12-23 64-66 1.00 1.46 5.45 1.29 47 20-5 1.86 09 93. 13. 13-12 6-27 66-85 13.80 1.70 22-4 30. 14. 13. 19-1 309. 1.57-39 51-93 65-46 0.35 1.68 6.17 1.47 38 20-8 1.58 08 94. 4. 7-11 4-86 62-25 14.71 1.55 25-5 July 18. 5. 3.13-4 192. 7.28-88 24-68 64-20 12.41 1.33 0.46 1.20 12 27-1 1.73 52 85. 16. 39-01 18-72 80-29 5.06 1.39 14-6 19. 5. 44. 48-2 204. 41. 53-27 52-79 60-48 11. 29 1.17 0.26 0.92 08 27-4 2.01 51 85. 51. 29-25 7-68 81-57 5.72 1.56 12-2 22. 7. 53. 23-5 241. 24. 56-24 62-17 54-07 6.99 0.97 0.72 0.10 19 28-3 2.64 41 88. 32. 52-77 44-32 68-45 8.75 1.87 8-0 23. 8. 40. 6-9 253. 38. 39-50 39-09 60-41 5.46 1.00 1.21 0.00 28 28-6 2.76 37 89.38. 5-88 4-01 61-87 9.97 1.90 7-5 24. 9. 29. 17-8 266. 0.34-84 25-68 69-16 4.00 1.07 1.83 0.05 38 28-9 2.82 33 90. 44. 59-63 59-80 59-83 11.21 1. 89 7-5 27.12. 5.31-2 304. 26. 17-13 8-75 68-38 0.71 1.54 4. 18 0.84 54 30-1 2.66 19 93. 45. 12-23 8-53 63-70 14.50 1.59 10-8 27. 12. 7. 48-3 304. 27. 25-93 21-42 64-51 0.71 1.54 4. 18 0.84 54 30-1 2.66 19 93.45. 14-12 13-00 61-12 14.51 1.59 10-8 29. 13. 49. 21-7 331. 21. 28-96 16-14 72-82 0.03 2.02 5.77 1.39 43 30-6 2.29 13 94. 55. 13-98 11-14 02-84 15.75 1.22 15-6 Aug. 3. 17. 50. 57-6 42. 13. 48-70 48-25 60-45 4.78 3. 11 7.78 0.77 07 32-3 0.94 09 92. 54. 33-46 31-74 61-72 13.36 0.25 32-0 4. 18. 44. 13-3 56.54. 4-90 4-40 60-50 6.50 3.18 7.67 0.46 10 32-5 0.68 11 91. 44. 47-62 42-00 65-62 12.04 0.15 34-9 19. 6. 33. 13-7 248. 43. 56-89 60-47 56-42 6.40 0.98 0.29 0.46 09 36-4 1.80 52 89. 23. 29-46 21-75 67-71 9.62 1. CO 16-5 21. 8.11.36-9 273. 24. 12-80 13-60 59-20 3.48 1.11 0.94 0.04 23 368 2.32 47 91.33. 9-61 6-99 02-62 12.06 1.85 12-0 22. 9. 3.34-6 286. 3.54-00 53-38 60-62 2.22 1.24 1. 50 0.01 33 37-0 2.52 44 92. 34. 12-69 13-95 58-74 13.22 1.77 10-1 23. 9. 56. 15-0 299. 1. 43-00 45-46 57-54 1.21 1.41 2. 18 0.12 43 37-2 2.68 40 93. 28. 43-31 44-13 59-18 14.23 1.64 8-7 27. 13. 20. 48-1 354. 10. 51-47 40-17 71-30 0.45 2.39 5.40 1.28 47 38-2 2.75 22 94. 56. 47-89 47-82 60- C7 15.85 0.85 8-9 28.14. 9. 4-2 8. 36. 55-16 38-89 76-27 1.21 2.64 6.12 1.46 39 38-3 2.62 18 94. 35. 3-51 2-78 60-73 15.42 0.63 10-7 29. 14. 57. 45-7 23. 10. 71-36 56-47 74-89 2. 35 2.86 6.75 1.52 29 38-5 2.45 15 93. 55. 16-80 16-94 59-86 14.66 0.43 13-1 31. 16. 40. 25-4 52. 30. 66-00 53-61 72-39 5.42 3.14 7.60 1. 22 12 38-8 1.98 10 91. 52. 15-60 14-63 60-97 12. 32 0.16 194 Sep. 1. 17. 35. 64-6 67. 11. 68-34 57-25 71-09 7. 19 3.18 7.75 0.93 08 39-0 1.71 08 90. 37. 10-96 9-60 61-36 10. 89 0.11 22-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Si;b. Sub. 60-00 7 ? . 02 2. 00 4. 00 0. 76 30 20-8 e \ 1.4-2 30 60-00 10. 2i 1.00 23-7 [G]2 [44] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. *** ^ 3 =" o l't x *5$ Excess of Observed Longitude. . .5-1 W f Change for O 1 -'-! 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. l Annual Equation. Evection. Change forO-"l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. I'.D. i-8 O CL, lis t >z O B | " H I Change for 0?-J 1 in Argument. Evection in E.N.P.D. 1760. d h '" ' O / It ft g % V VV < \ * ( O 1 II H ff s ( > < Sep. 17. 6. 2.31-0 268.11. 6-39 4-14 62-25 4.34 1.05 0.24 0.63 07 41-0 1.01 52 91.21.30-10 25-08 65-02 11.70 1.87 27-5 20. 8.37.18-4 306. 16. 44-05 43-49 60-56 0.89 1.49 1.17 0.00 27 41-3 1.88 51 94. 4.31-17 34-12 57-05 14.80 1.54 18-7 22. 10. 19. 18-1 333. 30. 46-21 46-31 59-90 0.03 1.96 2.49 0.21 46 41-4 2.38 47 94. 58. 46-69 51-36 55-33 15. 86 1.14 12-9 27. 14. 34. I'O 47. 23. 34-12 30-17 63-95 4.38 3. 09 6.45 1.50 34 41-6 2.81 26 92. 4.21-63 26-55 55-08 12. 65 0.19 8-0 29. 16. 28. 40-4 77.22.46-79 42-34 64-45 7.87 3.17 7.44 1.34 15 41-6 2.58 17 89. 28. 16-26 15-43 60-83 9.73 0.10 11-3 Oct. 1.18.29.29-8 106. 40. 30-27 22-97 67-30 11.12 2.94 7.78 0.78 07 41-6 2.16 11 87. 3. 18-83 18-59 00-24 6.99 0.26 17-0 3.20.23. 4-2 135. 2.37-53 38-24 59-29 13.32 2.49 7.39 0.22 16 41-6 1.03 08 85. 26. 19-86 11-36 68-50 5. 12 0.59 23-7 18. 7.17.37-2 313. 29. 36-93 36-79 60-14 0.63 1.57 0. 51 0.21 14 40-7 0.81 50 94.37. 5-74 8-06 57-68 15.27 1.42 32-0 20. 8.56.32-8 340.39.13-10 6-48 66-62 0.04 2.06 1.46 0.00 32 40-4 1.38 53 95. 9.51-95 64-34 47-61 15.93 1.01 26-0 22. 10. 34. 30-4 9.42.23-16 19-19 63-97 0.99 2.58 2.88 0.33 50 40-2 1.95 51 94. 29. 18-27 31-00 47-27 15.25 0.57 18-9 24. 12. 20. 39 4 40. 18. 22-74 16-05 66-69 3.40 3.00 4.53 0.97 53 39-9 2.43 46 92. 33. 15-88 16-28 59-60 13.15 0.23 12-6 25.13,17. 68 55. 51. 37-31 34-10 63-21 d. 01 3.13 5. 34 1.26 48 39-8 2.61 42 91. 14.48-16 44-81 63-35 11.72 0. 13 10-1 Nov. 2.20.46. 1-4 171.34. 674 11-67 55-07 13.96 1.87 7.19 0.14 19 38-2 2.09 11 84. 53. 23-91 18-26 65-65 4.60 1.17 17-0 Dec. 13. 4. 42. 11-7 329. 35. 34-77 37-62 57-15 0.23 1.74 0.37 1. 11 11 26-7 0. 12 21 95. 12.28-61 31-04 57-57 15.86 1. 14 36-0 14. 5. 28. 13-0 342. 42. 58-45 62-14 56-31 0.03 1.99 0.24 0.81 07 26-4 0.03 25 95. 16. 11-70 20-95 50-75 15.92 0.93 38-2 17. 7.47.25-3 24. 25. 35-02 33-98 61-04 1.74 2.75 0.87 0.05 22 25-4 0. 12 39 93. 43. 15 54 28-48 47-06 14. 19 0.35 39-8 22". 12. 46. 39-4 102. 1. 9-48 15-90 53-58 9.80 3.07 4.47 0.95 53 23-5 1.24 52 87. 8.49-63 52-79 56-84 7.01 0.26 27-8 26.16.38.38-1 162. 2.53-32 62-74 50-58 13.91 2.19 7.22 1.44 20 22-1 2.34 47 84. 45. 50-12 52-76 57-36 4.51 1.07 13-9 27. 17. 24. 55-6 175.43.51-19 68-52 42-07 14.00 1.93 7.58 1.24 12 21-5 2. 54 44 84. 58.45-54 43-33 62-21 4.77 1.28 11-5 29. 18. 50. 33-6 201. 44. 17-23 26-41 50-82 13.07 1. 47 7.75 0.65 08 20-8 2.79 30 86. 8.54-17 51-02 63-15 6. 10 1.63 8-4 1761. Jan. 18. 10. 20. 5-1 93. 27. 47-26 58-34 48-92 8.74 3.14 2.44 0.18 46 13-9 0. 15 40 87. 48. 16-80 21-69 55-11 7.63 0. 20 39-6 23. 15. 15. 10-8 169. 19. 25-30 34-67 50-63 13.99 2.09 6.36 1.50 35 12-1 1.33 53 85. 0.42-27 33-52 68-75 4.64 1.20 27-0 24.16. 1.21-0 183. 10. 2-35 593 56-42 13.93 1.83 6.95 1.50 25 11-8 1.62 5-2 85. 24. 13-80 11-44 62-36 5.11 1.41 23-7 25. 16. 45. 14-2 196. 30. 10-71 20-08 50-63 13.51 1.60 7.39 1.36 16 11-5 1.90 51 86. 2.21-71 15-61 66-10 5.84 1.58 20-7 Feb. 16. 10. 10. 55-2 117. 12. 43-16 59-32 43-81 10.96 2.96 2.03 0.09 41 5-2 0.01 28 86. 3. 32-94 27-37 65-57 5.70 0.45 38-8 17.11. 11. 18-2 132.. 22. 16-36 36-93 39-43 12.27 2.76 2.83 0.30 49 5-0 0.01 33 85. 23. 18-19 7-68 70-51 4.94 0. 00 39-8 18.12. 7.41-0 147.21.2806 35-95 52-11 13.24 2.52 3.64 0.61 53 4-8 0.07 37 85. 2. 34-09 25-95 08-14 4.55 0.88 40-0 18. 12. 10. 1-5 147. 22. 52-68 59-67 53-01 13.24 2.52 3.64 0.61 53 4-8 0.07 37 85. 2.32-18 24-97 67-21 4. 55 0.88 40-0 Mar. 14. 6.59.34-1 96. 59. G-87 24-59 42-28 8.33 3. 16 0.34 0.38 10 0-8 0.98 09 87. 8.30-30 27-33 62-97 7.07 0.25 22-2 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. 1 . 42 Sub. 30 Sub. 00-00 Sub. 10.21 Sub. \ \\ 1. 00 Sub. '23-7 2. 00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [45] Greenwich r - i Ecliptic 3 1 U i Mean Solar Time of Longitude of ill o ^ jjj o "a .y > | O "c fc. 5 3 a ~.2 s ** | || N.P.D. of If c u a. O _D. . |g| 1 1 Observation Moon's Center 1 1 &) s | = S) y if .S &i 1 a s i Moon's Center o _n . -O . s S 'S fl 1 ?&; of from * wo 1 H g 1 < ,,8 ce > a ^ s < < y u from JD -^ ^ 8 Z W a j3 . Moon's Limb. Observation. O " o.S 6.5 o.s Observation. W S 3.5 MM 1761. d h m s / II // If * > V V \ \\ g v \\ s - Q 1 II " " s v \ \\ \ Mar. 16. 9. 0.42-8 126. 28. 56-27 69-41 46-80 11.50 2.89 1.09 0.01 26 0-5 0.48 13 85. 27. 31-26 18-38 72-88 5.12 0.59 29-5 21. 13. 11.44-4 197. 25. 9-93 7-81 62-12 13.05 1.65 4.82 1.08 52 0-2 0.02 34 86. 26. 76-81 54-38 82-43 6.10 1.63 39-8 April 10. 4. 53. 41'4 92. 32. 46-07 56-71 (49'36) 7.24 3. 18 0.40 1.14 11 0-4 2.26 12 87. 15. 60-41 39-03 (81'38) 7.33 0.22 9-1 18. 11.47.54-6 205. 16. 6-36 17-32 49-04 13.43 1.57 3.58 0.58 53 1-2 0.24 18 87. 0.25-65 24-41 61-24 6.80 1.72 32-4 18.11.50. 1-4 205. 17. 12-14 24-78 47-36 13.43 1.57 3.58 0.58 53 1-2 0.24 18 87. 0.31-42 29-37 62-05 6.80 1.72 32-4 20.13.19. 8-7 231. 2.40-05 51-28 48-77 11.56 1.20 5.23 1.21 49 1-4 0.02 26 89. 9.53-22 52-14 61-08 9. 15 1.89 36-9 27. 19. 2. 43-4 317. 44. 14-74 23-50 51-24 1.78 1.30 7.61 0.40 11 2-5 0.97 51 95. 7.49-03 48-03 61-00 15.77 1.21 36-9 j May 13. 8. 18. 25-1 174. 14. 42-69 61-29 41-40 13.87 2.22 0. 60 0. 15 16 5-6 1.94 10 85. 10. 44-45 29-22 75-23 4.98 1.36 11-3 14. 9. 2.34-6 187. 39. 49-13 53-62 55-51 14.01 1.96 1.05 0.02 25 5-9 1.67 08 85. 48. 21-65 20-24 61-41 5.65 1.54 137 15. 9.45.40-0 200. 48. 14-94 30-74 44-20 13.76 1.71 1.63 0.02 35 6-1 1.39 08 86.38.51-10 48-37 62-73 6.56 1.69 16-3 20. 13. 37. 41-1 263. 42. 58-86 76-37 42-49 8.27 0.99 5.56 1.33 46 7-5 0.20 19 92. 7.33-77 28-12 65-65 12.51 1.82 30-6 June 9. 6. 16. 40-3 169. 57. 30-06 28-86 01-20 13.59 2.38 0.25 0.86 08 13-6 2.80 25 85. 2.74-45 53-10 81-35 4.87 1.32 8'2 13. 9. 11. 18-9 222. 24. 10-86 15-65 55-21 12.85 1.41 1.33 0.00 30 14-8 2.13 11 88.24.11-81 7-48 64-33 8.59 1.86 9-1 14. 9. 56. 2-9 231.53.47-38 49-44 57-94 11.85 1.24 1.98 0.07 40 15-1 1.88 09 89. 31. 29-04 30-71 58-33 9.82 1.90 10-7 21. 15. 39. 48-4 321. 4. 12-42 12-34 60-08 2.04 1.26 7. 12 1.47 22 17-6 0. 17 20 95. 8. 35-62 42-01 53-61 15.89 1. 11 28-7 22. 16. 24. 52-4 333. 37. 50-40 51-47 58-93 1.06 1.44 7.51 1.30 14 17-9 0.06 24 95. 11. 24-81 26-76 58-05 15.91 0. 92 31-6 24.17.51.59-0 359. 27. 26-57 33-92 52-65 0.06 1.90 7.76 0.72 07 18-9 0.01 33 94. 30. 55-05 54-76 60-29 15.11 0.54 36-3 July 8. 5.42.40-9 192. 19. 21-80 1-80 80-00 14.01 2.02 0.31 1.02 09 23-3 2.76 37 86. 14. 52-87 32-87 80-00 6.15 1.63 14-1 9. 6.26.16-0 205. 31. 50-68 51-70 58-98 13.86 1.77 0.22 0.71 07 24-0 2. 82 33 87. 8.73-04 58-46 74-58 7.18 1.76 11-8 10. 7. 9. 45-7 218. 22. 37-93 36-13 61-80 13.34 1.54 0.31 0.41 10 24-3 2.83 28 88.10.51-61 39-16 72-45 8.34 1.85 10-0 13. 9.27.54-5 255. 36. 19-32 8-63 70-69 10.09 1.07 1.59 0.01 35 25-2 2.51 16 91.27.48-68 50-09 58-59 12.01 1.85 7-4 15. 11. 7.54-8 280. 4.10-97 1-31 (69-66) 7.09 0.97 3.06 0.40 51 25-9 2.07 10 93. 21. 33-16 38-13 (55-03) 14.11 1.66 8-3 16. 11. 58. 22-9 292. 20. 38-70 27-54 71-16 5.56 0.99 3.88 0.72 54 26-2 1.80 09 94. 5.45-91 43-91 6200 14.91 1.51 9-4 16. 12. 0. 38-8 292. 21. 50 03 34-82 75-21 5.56 0. 99 3. 88 0.72 54 26-2 1. 80 09 94. 5.50-54 47-31 63-23 14. 92 1.51 9-4 20.15. 7. 13-3 342. 19. 56 88 49-59 67-29 0.77 1.5-2 6.83 1.51 27 27-7 0.70 11 94. 54. 52-76 49-20 63-56 15.73 0.76 18"2 22. 16. 33. 5-4 8. 16.29-89 43-16 46-73 0.03 2. 00 7.63 1.18 11 28-3 0.28 17 93. 52. 14-40 11-03 63-37 14.50 0.41 24-5 Aug. 7. 5. 50. 17-2 226. 28. 51-21 51-68 59-53 13.06 1.46 0.25 0. 88 08 33-1 2 51 44 89. 5. 71-40 59-97 71-49 9.26 1.89 21-2 8. 6. 36. 14-4 239. 3. 28-69 28-64 60-05 12. 11 1.28 25 0.57 08 33-3 2.67 40 90. 12. 41-09 28-79 72-90 10.53 1.90 18-2 11. 9. 3. 14-7 275. 54. 48-32 43-20 65-12 8.05 0.98 1.29 0.00 29 34-3 2.82 27 93. 11. 37-38 29-98 67-40 13.91 1.69 11-2 12. 9.53.52-3 288. 10. 17-34 9-22 68-12 6.51 0.97 1.93 0.06 39 34-6 2. 75 23 93. 56. 29-02 27-93 61-09 14.75 1.55 9-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Jf a . V U \ \\ \ < Aug. 17. 13. 49. 20-9 351. 11. 47-42 35-98 71-44 0.52 1.60 5.87 1.41 42 36-0 1.73 09 94. 30. 25-11 19-08 66-03 15.37 0.61 8-7 21. 16. 49. 0-2 44.52. 0-71 4-75 55-96 1.13 2.61 7.72 1.05 09 36-8 0.64 12 90. 53. 23-97 18-53 65-44 11.24 0.11 17-7 Sep. 5. 5.17.14-5 246. 38. 46-05 43-36 62-69 11.69 1.22 0.33 1.04 09 39-6 1.86 51 91. 7.75-34 54-11 81-23 11.42 1.88 31-7 8. 7.47.31-2 283.36. 6-72 6-54 (60-18) 7.46 0.97 0.55 0.18 15 40-0 2.56 43 93. 52. 40-97 39-02 (61'95) 14.56 1.58 23-5 10. 9.26.55-3 308. 17.54-16 45-18 68-98 4.44 1.04 1.55 0.01 34 40-3 2.80 35 94. 52. 37-39 37-30 60-09 15. 72 1.24 17-7 15. 13. 13. 54-3 13. 11. 73-29 55-44 77-85 0.04 1.94 5.45 1.30 47 40-8 2.41 14 93. 13. 35-99 31-64 64-35 13.95 0.32 7-9 19. 16. 32. 21-7 69. 0.56-37 45-57 70-80 2.73 2.92 7.61 1.20 11 41-2 1.38 08 88.32. 6-85 10-59 56-26 8.70 0. 13 10-1 Oct. 5. 5. 39. 17-7 278. 38. 38-32 32-78 65-54 8.42 0.99 0.26 0.90 08 41 5 1.30 53 93. 47. 57-35 43-08 74-27 14.32 1.63 37-6 6. 6.29.58-9 290. 54. 47-86 50-21 57-65 6.89 0.97 0.25 0.59 08 41-5 1.65 52 94. 27. 40-03 38-15 61-88 15.07 1.47 35-8 12. 11. 6. 5-4 7. 42. 21-45 10-05 71-40 0.17 1.78 3.41 0. 52 53 41-2 2.81 34 93.35. 9-53 17-20 52-33 14.25 0.36 19-2 15.13.31.46-8 49.51. 4-60 3-34 61-26 0.92 2.56 5.82 1.39 43 41-0 2.70 21 90. 7. 8-79 4-44 64-35 10.46 0. 10 10-8 18.16.26.59-3 93. 49. 40-37 25-46 74-91 4.89 3.12 7.47 1.32 14 40-6 2. 12 11 86. 26. 47-74 37-11 70-63 6.41 0.33 7-4 19. 17. 29. 11-3 108.37.75-36 58-14 77-22 6.63 3.18 7.71 1.06 09 40-5 1.86 09 85. 34. 38-66 36-43 62-23 5.44 0.51 7-8 20. 18. 29. 34-8 123. 24. 51-65 44-84 66-81 8.40 3.15 7.77 0.76 07 40-4 1.58 08 85. 0.22-39 17-03 65-36 4.79 0.71 9-0 Nov. 6. 7.30.30-9 335. 19. 51-46 51-98 59-48 2.16 1.25 0.53 0. 19 15 37-6 1.43 53 95. 7. 7-37 17-77 49-60 15.76 0.78 38-7 11.11.17.58-5 11. 11. 17. 58-5 43. 17. 54-67 43. 17. 52-97 54-52 54-52 (60'15) [58-45) 0.47 0.47 2.40 2.40 3.76 3.76 0.67 0.67 54 54 36-4 30-4 2.64 2.64 41 41 90. 42. 34-30 90. 42. 39-62 40-11 40-11 (54-25) (59-51) 10.97 10.97 0.11 0.11 26-3 26-3 14. 14. 16. 26-7 88. 21. 49-37 44-23 65-14 3.87 3.04 6.17 1.47 38 35-7 2.83 28 86.47. 7-57 14-27 53-30 6.72 0.29 15-6 15. 15. 20. 43-4 103. 36. 53-89 47-46 66-43 5.55 3.15 6.79 1.51 28 35-5 2.77 23 85. 47. 47-68 46-02 61-66 5.65 0.46 12-6 17. 17. 22. 30-3 133.41.36-52 25-06 71-46 9.06 3.12 7.61 1.20 11 34-8 2.50 16 84. 45. 27-42 24-31 63-11 4.54 0.89 8-6 18.18.16.51-4 148.20.42-68 46-44 56-24 10.67 2.99 7.76 0.91 08 34-5 2.29 13 84. 45. 40-98 26-26 74-72 4.55 1. 12 7-6 21.20.39. 3-5 190. 32. 20-26 18-02 62-24 13.73 2.31 7.16 0.12 20 33-8 1.50 08 86. 33. 56-54 54-05 62-49 6.55 1.69 9-2 Dec. 3. 5.24.21-7 330. 5.22-85 16-66 66-19 2.90 1.16 0.26 0.92 08 30-1 0.25 43 95. 10. 38-43 48-73 49-70 15.84 0.84 36-9 4. 6. 7. 19-4 342. 33. 56-12 45-19 70-93 1.75 1.31 0.24 0.61 08 29-8 0.44 46 94. 52. 25-07 33-12 51-95 15.49 0.65 38-3 5. 6. 49. 32-9 355. 17. 15-81 10-24 65-57 0.86 1.50 0.38 0.32 11 29-5 0.67 49 94. 19. 32-47 43-69 48-78 14.87 0.48 39-4 8. 9. 3.33-3 35. 49. 20-45 12-81 67-64 0.18 2.23 1.83 0.04 38 28-6 1.50 53 91. 21. 24-49 39-56 44-93 11.57 0. 12 39-1 10. 10. 52. 0-0 65. 19. 53-70 52-76 60-94 1.65 2.74 3.35 0.50 52 28-0 2.07 50 88. 41. 29-68 27-42 62-26 8.63 0. 13 35-4 20.20. 6.54-7 213. 14. 55-09 42-62 72-47 14.01 1.95 7.39 0.21 16 24-1 2.23 12 88. 27. 27-1-2 31-66 55-46 8.68 1.87 7-6 31. 4. 3.46-3 337. 56. 40-42 19-98 80-44 2.44 1.21 0.66 1.32 16 20-5 0.02 26 94. 50. 55-00 58-61 50-39 15.60 0.70 25-2 Sub. eo'-'oo Sub. g \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 6o'-00 Sub. 10. 21 Sub. i. ob Sub. 23-7 2.00 4.00 1761. Sep. 8. The Observed Z. D. has been increased 2 parts. Nov. 11. Each of the Observed Z. D.'s has been increased 5 Verniers. The Quadrant was out of adjustment. See Venus, Reduction of Observations of Planets, page 548. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [47] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. o .*; jfl s f Change for Qs-l \ in Argument. Parallactic Inequality. Variation. Change for 0*?-1 1 in Argument. Annual Equation. Evection. 1 Change for Os- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. Change for Os-1 in Argument. 'ft. w 1762. d " '" ' Jan. 2. 5.26.39-1 O t 11 2. 59. 18-92 5-97 72-95 e v 0.59 1. 58 \ \v 0.23 g * 0.78 07 \ 19-8 0.04 35 o / a 93. 42. 27'95 36-74 51-21 g s 14.28 0.37 30-9 5. 7.40.28-7 43. 1.24-63 13-40 71-23 0.34 2.33 0.90 0.04 22 18-5 0.49 47 90. 34. 2-92 8-10 54-82 10.71 0.10 37-7 7. 9.31.23-4 72. 18. 46-86 52-73 54-13 2.09 2. 82 2.13 0.11 42 17-8 1.00 52 88. 0.37-35 40-54 56-81 7.84 0.18 39-9 8. 10. 35. 9-9 87.47. 9-70 23-68 46-02 3.48 3.01 2.88 0.34 50 17-5 1.29 53 86. 50. 5-93 6-07 59-86 6.54 0.31 39-8 10.12.51.21-2 119. 44. 12-74 17-27 55-47 6.88 3.18 4.59 0.99 53 16-8 1.88 51 85. 13. 34-07 31-40 62-67 4.77 0.72 36-9 17.18.50. 14-0 222. 11. 77-88 58-09 79-79 13.95 1.86 7.74 0.62 08 14-2 2.81 26 89.27. 6-44 6-90 59-54 9.70 1.90 14-6 Feb. 1. 5.33.12-4 37.32.31-13 31-19 59-94 0.10 2.17 0.24 0.64 07 9-6 0.01 27 90.47. 7-21 13-96 53-25 11.11 0.11 23-7 3. 7.15.26-2 65. 18. 37-25 28-59 68-66 1.38 2.67 0.69 0.12 18 8-9 0.06 37 88. 22. 28-45 27-62 60-83 8.36 0.15 30"2 5. 9.18.16-4 95. 12. 51-67 57-94 53-73 4.07 3.06 1.78 0.04 37 8-1 0.34 45 86.13.22-15 16-18 65-97 5.90 0.41 36-1 7. 11. 28. 57-6 126. 49. 29-70 43-98 45-72 7.54 3.17 3.29 0.49 52 7-6 0.81 50 85. 3.74-32 56-34 77-98 4.57 0.86 39-5 10.14.21. 0-1 174. 1. 44-23 38-49 65-74 12.18 2.78 5.77 1.38 44 6-8 1.67 52 86. 4. 44-21 37-65 66-56 5.70 1.55 38-2 Mar. 8.11. 8.50-0 150. 14. 7-53 6-20 61-33 9.89 3.07 2.88 0.33 50 1-4 0.22 42 85. 8.49-54 27-24 82-30 4.70 1.24 34-5 9.12. 2.44-8 165.46.34-11 31-93 62-18 11.39 2.90 3.70 0.64 54 1-3 0.40 46 85. 43. 34-23 8-26 85-97 5.32 1.46 37-0 . April 1. 5.58.17-8 98. 48. 51-47 61-04 50-43 3.70 3.03 0.23 0.65 07 o-o 0.67 11 85. 37. 53-51 43-67 69-84 5.51 0.49 9-8 2. 6. 59. 55-4 113. 32. 52-45 65-17 47-28 5.34 3.14 0.35 0.35 11 o-o 0.44 14 85. 2. 70-98 55-20 75-78 4.83 0.70 12-0 4. 8.57. 0-7 143. 33. 35-66 48-14 47-52 8.86 3.13 1.13 0.01 27 0-1 0.12 21 84. 53. 46-71 25-16 81-55 4.59 1.16 18-2 5. 9.50.37-8 158.40.28-06 34-94 53-12 10.49 3.01 1.73 0.03 37 o-i 0.03 26 85. 20. 52-19 27-82 84-37 5.05 1.39 21-7 May 6. 10. 57. 39-6 211. 14. 35-33 44-31 51-02 13.84 2.25 2.83 0.31 49 4-0 0.09 22 89. 2.48-32 35-94 72-38 9. 18 1.89 18-9 7. 11. 46. 16-5 7.11.48.32-5 225. 10. 48-38 225. 12. 8-88 57-72 13-44 50-66 55-44 14.01 14.01 1.98 1.98 3.64 3.64 0.62 0.62 53 53 4-4 4-4 0.02 0.02 27 27 90. 19. 37-16 90. 19. 32-40 29-02 35-96 68-14 56-44 10.58 10.58 1.90 1.90 22-2 2-2-2 13. 17. 0. 55-1 303. 13. 22-74 15-23 67-51 8.36 0.99 7.56 1.25 12 5-6 0.76 50 95. 12. 57-37 42-03 75-34 15.88 1.12 37-9 28. 4. 47. 14-9 134. 11. 12-93 13-54 (59-39) 6.69 3.18 0.51 1.24 14 9-6 2.38 14 84. 46. 67-96 50-59 (77-37) 4.51 1.06 12-9 30. 6. 32. 57-2 163. 43. 33-58 38-01 55-57 10.12 3.05 0.23 0.66 07 10-1 1.89 09 85. 34. 79-97 54-48 85-49 5.44 1.49 8-7 31. 7. 20. 53-4 178. 8.59-82 70-48 49-34 11.57 2.88 0.35 0.36 10 10-7 1.62 08 86. 24. 76-00 57-70 78-30 6.37 1.67 7-7 June 1. 8. 7. 15-3 192. 20. 21-75 27-04 54-71 12.73 2.66 0.66 0.13 17 11-0 1.33 08 87. 27. 50-42 28-65 81-77 7.53 1.80 7-4 8. 14. 2. 13-5 285. 43. 29-92 43-40 46-52 10.69 1.12 5.67 1.35 45 13-3 0.01 28 94.40. 5-05 1-99 63-06 15.44 1.37 20-9 14. 18. 31.43-8 359. 48. 48-54 58-85 49-69 2.13 1.25 7.70 0.52 09 15-1 0.82 51 93. 23. 26-53 16-69 69-84 13.87 0.31 36-6 29. 6.51.53-8 202. 7.40-85 34-89 65-96 13.08 2.57 0.26 0.52 08 20-2 2.32 13 88. 25. 53-62 33-47 80-15 8.58 1.86 12-2 30. 7. 38. 15-9 215. 50. 53-66 36-30 (77-36) 13.74 2.31 0.46 0.24 13 20-5 2.09 11 89. 37. 87-53 29-89 (11764; 9.94 1.90 10-1 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4. 00 6. 76 30 20-8 1.42 30 60*00 10.21 1.00 23-7 1762. May 28. The Observed Z. D. has been decreased 2 Verniers. [48] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 111 l c ""o3 Excess of Observed Longitude. .2$ .s-'s '3 ir W g Change for O-'l I in Argument. Farallactic Inequality. Variation. Change for Of 1 1 in Argument. Annual Equation. Evection. Change for fle- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. .i.2 O e. 31 = ** y *r V > f-* ,1 W Effect of Mean Inclination. Change for 0- 1 1 in Argument. Evection in E. N.P.D. 1762. July 2. 9.15.31-7 o / " 242. 30. 33-14 44-08 n 49-06 e " 13.88 1.79 1 U 1.37 g " 0.00 31 \ 21-4 l * 1.54 08 O ' '/ 91. 56. 63-76 53-40 II 70-36 e " 12. 54 * \\ 1.82 7-7 3. 10. 7. 8-3 255. 32. 30-30 43-04 47-26 13.40 1.56 2.03 0.08 41 21-8 1.26 08 92.57.21-18 17-83 63-35 13.67 1.72 7-4 5. 11. 53. 12-6 281. 7. 1-82 16-81 45-01 11.49 1.20 3.58 0.60 53 22-4 0.72 11 94. 25. 59-30 58-4(5 60-84 15.30 1.41 8-6 5.11.55.31-9 281. 8. 10-84 27-50 43-34 11.48 1.20 3.58 0.60 53 22-4 0.72 11 94.26. 028 1-40 58-88 15. 30 1.41 8-6 9. 15. 6. 44-3 330. 38. 39-18 47-85 51-33 5.67 0.99 6.63 1.52 31 24-0 0.04 25 94. 40. 52-76 45-21 67-55 15.50 0.66 16-1 11.16.28.23-5 355. 4.54-27 61-69 52-58 2.87 1.16 7.53 1.27 13 24-6 0.02 34 93.29.11-13 5-63 65-50 14.12 0.34 21-7 12. 17. 8. 20-0 7.26.51-47 62-36 49-11 1.73 1.31 7.74 1.00 08 24-9 0.09 38 92.37.11-19 11-05 60-14 13.13 0.23 24-5 15. 19. 19. 12-3 46. 17. 38-29 36-95 (61-34) 0.03 1.97 7.28 0.17 18 25-9 0.63 49 89. 19. 7-76 11-96 (55'80) 9.37 0.11 33-1 Aug. 30. 9. 27. 42-3 298. 0.24-26 25-50 58-76 10.51 1.10 1.33 0.00 30 38-5 2.60 18 95. 2. 31-66 40-68 50-98 15.88 1.12 19-4 31. 10. 15. 44-8 310. 18. 45-62 40-54 65-08 9.09 1.01 1.98 0.08 41 38-7 2.42 14 95. 2.36-88 45-35 51-53 15.91 0. 92 16-8 Sep. 1. 11. 1. 2-3 322. 33. 47-09 26-34 80-75 7.58 0.97 2.71 0.28 49 39-0 2.20 12 94.48.49-16 53-45 55-71 15.68 0.73 14-3 5.13.46.32-2 11.41.46-08 45-68 60-40 1.99 1.27 5.92 1.42 41 39-6 1.12 08 91. 54. 15-30 8-87 66-43 12.49 0.17 7'9 7. 15. 10. 17-2 36. 54. 14-11 23-71 50-40 0.37 1.67 7.12 1.47 22 39-8 0.60 12 89.41. 7-30 3"24 64-06 10.03 0. 10 7-6 11.18.41. 3-7 91. 3.28-20 21-92 (66'28) 1.43 2.69 7.63 0.40 10 40-4 0.01 27 85. 38. 43-61 15-36 (88-25) 5.46 0.50 13-9 12. 19.42.59-1 105. 42. 48-19 44-18 64-01 2.63 2.90 7.31 0.18 17 40-5 0.00 32 85. 4. 52-07 58-81 53-26 4.81 0.71 170 24. 5.37.41-4 268. 24. 56-28 52-14 64-14 13.30 1.53 0.30 1.01 09 41-5 2.40 46 94. 17. 58-73 59-07 59-66 14.86 1.52 38-4 25. 6.31.20-0 281. 12. 9-78 16-22 53-56 12.43 1.33 0.22 0.70 07 41-5 2.59 43 94. 50. 52-38 46-04 66-34 15.49 1.35 36-9 28. 8.58.25-0 318. 21. 39-28 45-52 53-76 8.52 0.99 1.05 0.02 25 41-6 2.83 29 95. 1. 19-50 31-05 48-45 15.75 0.78 30-2 Oct. 4.13. 9. 1-4 32. 53. 42-57 39-26 63-31 0.74 1.53 5.56 1.32 46 41-6 1.89 09 89. 57.55-13 61-40 63-73 10.29 0.10 13-5 23. 5.15. 1-6 288. 45. 24-88 27-17 57-71 12.03 1.27 0.42 1.16 11 40-2 1.71 52 95. 7.56-45 74-37 42-08 15.77 1.21 39-5 26. 7.38. 7-5 325. 56. 29-78 39-37 50-41 7.95 0.98 0.42 0.27 12 39-6 2. 46 45 94.51. 7-50 15-10 52-40 15.46 0.64 39-2 27. 8. 20. 13-7 338. 9. 8-90 11-07 57-83 6.41 0.98 0.78 0.07 20 39-5 2.63 42 94. 17. 54-02 65-39 48-63 14.86 0.47 38-1 28. 9. 0.45-5 350.24.31-84 33-91 57-93 4.91 1.02 1.29 0.00 30 39-4 2.75 37 93. 32. 64-14 62-58 51-56 14.04 0.33 36-6 31. 11. 3. 19-5 28. 8.52-90 45-95 66-95 1.24 1.41 3.46 0.55 53 38-9 2.78 24 90. 24. 12-05 20-92 51-13 10.61 0. 10 29-5 Nov. 1.11.48. 8-6 1.11.50.20-4 41.12.33-91 41. 13. 44-77 3493 45-31 58-98 59-46 0.50 0.50 1.61 1.61 4.30 4.30 0.88 0. 88 54 54 38-7 38-7 2.68 2.68 20 20 89. 12. 3-52 89. 12. 0-38 7-52 1-10 5600 59-28 9. 31 9.30 0. 11 0. 11 26-5 26-5 3. 13. 31. 50-1 68. 13. 32-82 33-97 58-85 0.06 2.11 5.87 1.41 42 38-2 2.32 13 86. 54. 65-79 58-56 67-23 6.83 0.28 19-9 21. 4.46. 5-3 308.31.34-19 2534 68-85 10.33 1.09 0.57 1.28 15 34-0 0.92 51 95.11.28-91 39-66 49-25 15.88 0.88 33-7 23. 6. 15. 16-5 333. 7.49-67 53-27 56-40 7.37 0.97 0.22 0.72 07 33-5 1.49 53 94. 28. 45-77 60-19 45-58 15.06 0.52 37-6 25. 7.35.59-7 357.33.31-82 37-66 54-16 4.37 1.04 0.57 0.17 15 32-7 2.05 50 92.58. 9-55 15-53 54-02 13.36 0.25 39-7 Sub. 60-00 Sub. e \ 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. g V 1.42 Sub. 30 Sub. 60"00 Sub. ff \ 10.21 Sub. \ \\ 1.00 Sub. 23-7: 2.00 4.00 1762. July 15. The Observed Z. D. has been increased 12 Verniers. . . __ SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [49] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. fl| .5-1 aj Change for OS- 1 1 in Argument. .H X II 1| a! Variation. Change for 08-1 in Argument. Annual Equation. Evection. Change for OS-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. seconds of Tabular Ecliptic! N. P. D. i .H 5J-. *&-. W -0 - oj QJ 1 fcfc 3 X Effect of Mean Inclination. Change for fls- 1 I in Argument. JJQ OSL," fe W W 1762. d h m Dec. 20. 4. 9.33-7 O f ff 328. 2. 35-66 tf 36-54 n 59-12 g * 8.32 9.99 0.81 g v 1.38 19 \ 24-4 g 0.28 43 O 1 If 94. 30. 31-17 n 50-13 ff 41-04 * 15.24 \ " 0.57 \ 23-5 2->. 5.31.10-5 352. 23. 48-93 47-00 61-93 5.28 1. 00 0.26 0.89 08 23-8 0.72 50 93. 8.14-70 32-72 41-98 13.66 0.28 29-0 23. 6. 10. 25-2 4. 35. 10-97 17-23 53-74 3.84 1.08 0. 25 0.58 08 23-5 0.98 52 92. 13. 8-94 22-71 46-23 12.61 0.18 31-6 25. 7.31.51-8 29.32. 0-25 4-16 56-09 1.47 1.36 0.75 0.09 19 22-8 1.56 53 90. 4.37-57 38-55 59-02 10.19 0.10 36-1 26. 8. 16. 37'9 42. 29. 54-83 63-43 51-40 0.65 1.56 1.25 0.00 29 22-1 1.84 52 88. 55. 45-46 56-29 49-17 8.89 0. 12 37-9 27. 9. 5.47-7 55. 54. 55-64 61-14 54-50 0. 16 1.79 1.88 0. 05 39 21-8 2. 11 50 87. 48. 24-57 33-90 50-67 7.63 0.20 392 1763. Jan. 2.15. 6.41-0 144. 57. 42-78 36-89 65-89 5.00 3.12 6.54 1.51 33 19-5 2.81 26 85. 27. 45-93 39-74 66-19 5.08 1.40 32-2 23. 6. 54. 2-2 49. 36. 33-07 30-87 62-20 0.43 1.64 0.55 0. 19 15 12-4 0.78 50 88. 4.58-06 56-53 61-53 8.08 0.16 26-8 27. 10.44.41-4 106. 20. 37-46 40-60 56-86 1.32 2.66 3.00 0.37 51 10-9 1.92 51 85. 4. 16-86 13-03 63-83 4.60 0.83 37-7 Feb. 1. 15. 30. 54'0 184. 4.47-83 42-61 65-22 9. 14 3. 12 6.79 1.51 28 9-5 2.81 34 88. 6. 13-86 14-62 59-24 7.96 1.83 36-7 3.17. 8.51-7 213.29.31-65 48-29 43-36 12. 08 2.79 7.61 1.20 11 8-6 2. 79 25 90. 39. 25-73 25-68 60-05 10.85 1.90 31-3 20. 5. 35. 5-8 57. 23, 12-09 12-73 59-36 0.25 1.73 0.24 0.61 08 4-4 0.08 37 87. 12.51-18 42-99 68-19 7.25 0.23 13-7 23. 8. 24. 220 98.41.59-48 50-87 68-61 0.77 2.51 1.21 0.00 28 3-8 0.60 48 85. 3. 46-93 38-91 68-02 4.76 0.73 22-9 25. 10. 27. 55-5 128. 55. 19-72 14-83 64-89 3.02 2.95 2.60 0.23 47 3-4 1. 13 52 85. 2.24-21 9-19 75-02 4.64 1.20 30-2 Mar. 4.16.44. 7'9 236.25. 3-78 5-88 57-90 13.39 2. 46 7.47 1.32 14 2-1 2.76 37 92. 47. 22-12 35-02 47-10 13. 15 1.77 38-3 5. 17. 38. 56-6 250. 20. 39-66 35-26 64-40 13.90 2.20 7.71 1.06 09 1-8 2. 82 33 93. 45. 44-59 50-56 54-03 14.25 1.64 36-6 6.18.34.40-5 263.51.39-43 37-10 62-33 14.00 1.94 7.77 0.75 07 1-7 2.83 28 94. 29. 22-30 40-43 41-87 15.09 1.47 34-3 2-2. 6. 12. 1-2 92. 52. 53-70 50-82 62-88 0.37 2.35 0.29 0.46 09 0-2 0.00 30 85. 4.22-62 12-74 69-88 4.90 0.67 9-2 24. 8.11.16-5 121. 36. 31-08 23-13 67-95 2. 18 2.83 0.94 0.03 23 o-i 0. 11 39 84. 47. 50-39 37-38 73-01 4.54 1.11 13-5 26. 10. 4. 52-5 152. 3. 4-96 0-44 64-52 5.21 3.14 2.18 0.12 43 0-1 0.43 46 85. 53. 43-69 34-91 68-78 5.68 1.55 20-2 April 21. 6.59.18-9 130.44.13-17 16-72 56-45 2.68 2. 91 0.38 0.32 11 1-5 0. 10 22 84. 57. 39-05 23-95 75-10 4.77 1.27 7-5 22. 7.53.45-2 145. 27. 34-58 37-38 57-20 4.18 3.07 0.72 0.10 18 1-6 0.02 26 85. 31. 53-89 32-72 81-17 5.39 1.48 8-1 23. 8.45.53-7 160.28. 9-13 2-54 66-59 5.86 3.17 1.21 0.00 28 1-7 0.00 31 86. 24. 49-95 28-25 81-70 6.35 1.66 9'6 25. 10. 26. 44-9 191. 4. 15-97 13-16 62-81 9.35 3.11 2.55 0.22 47 2-0 0. 14 40 88. 53. 22-26 9-53 72-73 9.04 1.88 14-6 May 4. 18. 39. 49-8 318. 32. 52-90 57-00 55-90 11.27 1.17 7.78 0.77 07 3-6 2.37 47 94. 44. 59-58 65-74 53-84 15. 35 0.60 39-4 5. 19. 23. 25-9 330. 53. 28-44 35-29 53-15 9.95 1.06 7.67 0.46 10 3-8 2.57 43 94. 9.3666 32-01 64-65 14.69 0.44 399 17. 3.57.41-1 112. 4. 12-40 4-48 67-92 0.88 2.55 0. 66 1.33 17 6-6 1.36 08 84. 48. 41-42 11-50 89-92 4.50 1.01 172 18. 4. 54. 39-3 126.17. 8-66 2-80 65-sr 1.89 2.78 0.35 1.09 10 6-8 1.08 09 84. 56. 76-48 50-25 86-23 4.68 1.23 14-3 20. 6. 40. 24-3 155. 14. 34-68 45-42 49-2" 4.80 3. 11 0.28 : 0.47 09 7-3 0.50 12 86. 10. 32-92 7-16 85-76 6. 08 1.62 9-6 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. 60-0( 7.02 2. 00 4.00 0.76 30 20-8 1.42 30 eo'oo 10. 21 1.00 23-7 GREENWICH LUNAR REDUCTIONS. [H] [50] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .S. a. g If Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. Change for 0-"1 1 in Argument. Annual Equation. Evection. Change for OS'l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. 4, Si & Si Effect of Mean Inclination. Change for 0="1 in Argument. *.*. .2 a. 1* ww 1763. * " m ' May 22. 8. 18. 20'2 o / '/ 184.47.25-12 // 31 25 it 53-87 e * 8.29 V V\ 3.16 \ v\ 0.90 e * 0.04 22 \ 8-0 e > 0.19 19 o / // 88. 24. 25-69 if 6-44 // 79-25 g * 8.57 1.86 \ 7-5 23. 9. 7. 19-6 199. 42. 55-46 63-22 52-24 9.96 3.06 1.46 0.00 33 8-3 0.07 23 89. 43. 59-77 50-65 69-12 10.05 1.90 7-6 29. 14. 48. 8-8 286. 55. 54-91 53-73 61-18 13.65 1.66 6.12 1.46 39 9-9 0.56 48 95. 7. 9-32 2-45 66-87 15. 92 1.06 21-7 June 3. 18. 40. 26'5 350. 26. 30-70 41-86 48-84 7.91 0.98 7.74 0.62 08 11-5 1.94 51 92. 41. 46-85 31-42 75-43 13.11 0.22 35-4 18. 6. 15. 24-9 180. 7. 1-43 2-33 59-10 7.20 3.18 0.24 0.63 07 16-4 1.29 OS 88. 11. 62-55 42-76 79-79 8. 20 1.85 16-5 19. 7. 3. 4-5 194. 43. 11-66 13-38 58-28 8.94 3.13 0.37 0.34 11 16-7 1.01 09 89. 27. 39-49 13-58 85-91 9.69 1.90 13-5 20. 7.51.49-0 209.18. 9-23 15-05 54-18 10.55 3.01 0.69 0.11 18 17-0 0. 74 11 90. 44. 64-57 42-56 82-01 11.16 1.89 11-0 21. 8.42.53-0 223. 50. 57-00 73-44 43-56 11.94 2. 82 1.17 0.01 27 17-3 0.51 13 91. 58. 65-72 58-01 67-71 12.55 1.82 9-1 26. 13. 30. 54-7 294. 25. 27-07 27-09 59-98 13.43 1.57 4.94 1.13 51 19-2 0.02 33 95. 0.43-24 35-49 67-75 15.91 0. 92 10-1 29. 15. 54. 59-7 333. 7.36-08 37-55 58-53 10. 28 1.08 6.98 1.49 24 20-2 0.40 46 93.39.41-81 40-72 61-09 14. 35 0. 38 17-0 July 4.19.15.23-6 34. 18. 38-82 49-80 49-02 2.98 1.15 7.42 0.24 15 22-1 1.73 52 88. 42. 32-00 13-20 78-80 8.71 0. 13 31-1 14. 3.23.41-0 160. 44. 19-29 12-07 67-22 4.40 3. 09 1.17 1.45 26 25-2 2.66 19 86. 56. 30-60 4-50 86-10 0.70 1.71 35-4 20. 8.26.49-9 247. 48. 13-92 27-30 46-62 13.31 2.49 0.90 0.05 22 27-4 1.21 08 93. 50. 53-56 45-00 68-56 14.57 1.58 15-9 22. 10. 22. 26-7 275. 33. 18-10 35-36 42-74 14.01 1.97 2.13 0.10 42 28-0 0.67 11 94. 54. 19-09 20-00 59-09 15.80 1. 19 10-8 23. 11. 19. 6-9 289. 5.55-72 68-74 46-98 13.77 1.72 2.88 0.33 50 28-6 0.44 14 95. 0. 50-37 50-01 60-36 15.93 0.98 9-1 Aug. 2.18.38.52-3 54. 12. 33-49 38-03 55-46 1.44 1.36 7.60 0.36 11 31-7 0.94 51 86. 53. 49-34 37-01 72-33 6.80 0.28 20-4 4. 20. 24. 32-4 80. 38. 22-21 20-44 61-77 0. 15 1.80 6.75 0.06 28 32-3 1.52 63 85. 25. 50-34 44-75 65-59 5.11 0.60 26-8 23.12.29. 7-5 336. 1.53-93 60-74 53-19 10.61 1.11 4. OG 0.79 54 37-2 0.61 12 93. 14. 11-90 2-20 69-70 13.93 0.32 11-7 27.15. 7. 7-5 24. 45. 22-89 28-48 54-41 4.69 1.03 6.95 1.50 25 38-0 0.02 27 89. 5.45-97 39-32 66-65 9.36 0. 11 7-4 28. 15. 48. 22-8 36. 55. 35-11 37-11 58-00 3.30 1.12 7.39 1.37 16 38-2 0.00 31 88. 1.68-33 58-82 09-51 8. 10 0.16 7-6 29. 16.32.28-1 49. 15. 29-93 37-94 51-99 2.09 1.26 7.67 1.13 10 38-8 0.04 36 87. 2.57-09 50-80 6(5-23 7.08 0.25 8-3 Sep. 1. 19. 8. 14-3 88. 9.44-59 42-59 62-00 0.06 1.89 7.44 0.25 14 39-0 0.50 47 85. 0. 51-84 29-40 82-44 4.77 0.73 13-5 3.21. 6.27-7 116. 25. 32-94 33-95 58-99 0. 53 2. 42 6.45 0.00 33 39-3 1.02 52 84.54. 9-70 5-72 (54-04 4.59 1.16 19-7 21. 11. 46. 10-0 356. 24. 48-59 46-46 62-13 8.66 1.00 3.64 0.61 53 41-3 1.34 08 91. 36. 39-90 45-89 54-01 12. 04 0.15 20-9 21. 11. 48. 10-2 356. 25. 34-09 46-01 48-08 8.65 1.00 3.64 0.61 53 41-3 1.34 08 91. 36. 28-55 40-67 47-88 12.04 0.15 20-9 22.12.26.55-1 8. 33. 19-04 30-16 (48-88) 7.13 0.97 4.47 0.94 53 41-3 1.06 09 90.31. 0-05 2-94 (57-11) 10.84 0.10 18-2 27.16. 5.19-7 70. 3.41-62 44-76 56-86 0.80 1.51 7.53 1.27 13 41-5 0.07 23 85. 36. 56-21 54-66 61-55 5.50 0.49 8-3 28. 16. 58. 43-3 82. 59. 22-72 25-23 57-49 0.23 1.74 7.74 0.99 08 41-6 0.01 28 85. 3.50-03 45-20 64-83 4.90 0.67 7-6 Oct. 13. 5. 58. 5-6 289. 22. 32-00 44-78 47-22 14.00 1.93 0.29 0.98 09 41-2 2.75 38 95. 16. 34-37 34-98 59-39 15.91 0.91 39-7 Sub. 60 /: 00 Sub. 7^.02 Sub. Sub. Sub. 0. 76 Sub. 30 Sub. 20-8 Sub. e \ 1.42 Sub \\ 30 Sub. 60-00 Sub. 10.2i Sub. 1. 00 Sub. 23-7 2.00 4.00 1763. Sep. 22. The Moon's Observed Z. D. has been decreased 2 Verniers. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [51] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. f-N III 2 <*- O Excess of Observed Longitude. Elliptic Inequality. Change for OB- 1 1 in Argument. Parallactic Inequality. Variation. Change for OB- 1 1 in Argument. P < o- H Evection. Change for Os-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation . Seconds ot Tabular Ecliptic! N.P. D. W Q- If 0.1 III * 1 Change for 0"1 in Argument. Sz Wbj 1763. d h m 8 O f If " " e - > V K * > g " O ' " tt " ' > 1 Oct. 14. 6. 51. 12-6 302. 34. 20-78 31-61 49-17 13.70 1.68 0.23 0.66 07 41-1 2.82 33 95. 1.39-90 44-21 55-69 5.63 3.71 40-0 1(5. 8.24.36-6 327. 55. 9-70 21-45 48-25 12. 12 1.28 0.63 0.13 17 40-9 2.78 24 93.50. 1-52 0-39 61-13 4.31 3.37 38-9 17. 9. 6. 15-7 340. 14. 5-41 13-65 51-76 0.93 1.14 1.09 0.01 26 40-8 2.68 20 92. 57. 51-78 55-58 56-20 3.36 3.25 37-6 21. 11.45.40-5 28.49.21-26 31-27 49-99 5.05 1.01 4.00 0.76 54 40-4 1.84 09 88. 40. 29-69 11-02 78-67 8.68 B. 13 29-0 26. 15. 48. 4(i'l 91. 52. 36-20 31-45 64-75 0.11 1.83 7.37 1.38 17 39-6 0.50 13 84. 51. 32-50 37-07 55-43 4.60 9.83 14-6 29. 18. 34. 46-4 132. 49. 59-29 64-14 55-15 1. 12 2.01 7.71 0.52 09 39-2 0.04 24 85.23.21-11 27-18 53-93 5.26 1.45 8-6 31.20.17.26-0 161. 55. 39-27 51-86 47-41 3.62 3.02 7.06 0.09 22 38-9 0. 02 34 87. 11. 49-71 67-22 42-49 7.27 1.77 7-5 Nov. 12. 6.21. 7-9 323. 25. 21-36 37-09 44-27 2.74 1.39 0.24 0.83 07 36-4 2.49 45 94. 0.24-24 32-87 51-37 4.52 0.41 36-6 13. 7. 4. 11-5 335.55. 9-79 27-67 42-12 1.69 1.22 0.26 0.52 08 36"2 2.66 41 93. 11. 25-38 35-94 49-44 3.60 0.27 38-1 14. 7. 44. 3(5-0 348. 11. 16-62 15-45 61-17 10.43 1.10 0.46 0.25 13 36-0 2.77 37 92. 14. 37-00 42-09 54-91 12.54 0.18 39-3 15. 8. 23. 33-0 0.18.51-18 64-50 46-68 9.02 1.01 0.84 0.06 21 35-7 2.83 32 91. 12. 25-58 22-70 62-88 11.38 0. 12 39-9 16. 9. 2.15-0 12. 24. 38-84 35-45 63-39 7.51 0.97 1.37 0.00 31 35-5 2.82 27 90. 6.54-05 66-38 47-67 10.17 0.10 40-0 17. 9.41.48-5 24. 32. 32-16 46-20 (45-96) 5.99 0.93 2.03 0.08 41 35-0 2.76 23 89. 1.44-26 26-28 (77-98) 8.96 9-12 39-6 18.10.23.19-5 36. 47. 57-09 47-98 69-11 4.49 1.04 2.77 0.28 49 34-8 2.65 19 87. 57. 53-10 62-27 50-83 7.80 0.18 38-8 19.11. 7.41-4 49. 12. 47-91 54-07 53-84 3.13 1.14 3.58 0.58 53 34-5 2.48 15 86. 59. 38-57 42-80 55-77 6.73 0.29 37-3 21. 12. 49. 32-1 74. 42. 46-20 49-31 56-89 0.98 1.46 5.23 1.21 49 34-0 2.03 10 85. 29. 42-63 46-20 56-43 5.12 0.59 33-1 23. 14. 40. 20-5 101. 6.56-84 74-12 42-72 0.04 1.93 6.63 1.52 31 33-5 1.48 08 84. 53. 13-33 0-05 73-28 4.50 0.99 27-5 25. 16. 30.22-8 128. 24. 11-60 23-40 48-20 1.62 2.46 7.53 1.28 13 32-7 0.92 09 85. 22. 38-55 39-00 59-55 5.11 1.41 20-9 27. 18. 11.31-6 156. 34. 31-29 24-80 66-49 2.71 2.92 7.76 0.69 07 32-1 0.44 14 86.58. 1-65 10-43 51-22 6.94 1.74 14-8 28. 18. 59. 34-9 171. 1.26-10 29-98 56-12 4.21 3.07 7.61 0.39 11 31-9 0.25 17 88. 5.55-34 58-38 56-96 8.23 1.84 12-0 Dec. 9. 4. 13. 10-3 317. 54. 18-05 28-18 49-87 13.25 1.51 0.94 1.42 23 28-6 1.25 52 94. 5.38-26 55-57 42-69 14.78 0.40 21-4 11. 5.40.44-1 343. 20. 23-59 34-51 49-08 11.24 1. 17 0. 30 1.00 09 27-7 1.83 52 92. 24. 34-55 44-66 49-89 12. 8a 0.20 27-5 19. 11.33. 49'6 82. 56. 26-OC 36-50 49-50 0.70 1.54 3.94 0.74 54 24-8 2.74 22 85. 14. 3-68 2-26 61-42 4. 7a 0.73 39-9 20.12.33. 1-4 96.25. 8-83 13-08 55-74 0. IS 1.78 4. 7< 1.00 52 24-4 2.61 18 85. 0.24-43 26-48 57-95 4.51 0.94 39-3 21. 13. 30. 15-9 110. 7. 62-80 58-44 64-36 0. OS 2.03 5. 5b 1.33 46 24-1 2.4S 15 85. 3.38-73 44-42 54-3 4. 5S 1.10 38-0 25. 16. 57. 20-4 166. 37. 14-54 17-3 1 ; 57-17 3. 2C ,2.9 7.64 1. 1C 10 225 1.4C 08 87. 59. 44-41 44-9-; 59-44 7. 9a 1.83 27-3 1764. . Jan. 11. 6.13.48-6 26. 58. 35-9 q 38 -2t 57-60 6. 3i ,0.9 0. 2f 0.55 08 16-5 1.61 52 88. 23. 21-15 19-94 61-2 8.44 0. 14 21-9 14. 8. 29. 3-6 64. 10. 12-1 25'9e 46-15 2. 2( 11.24 1.3 0.0 30 155 2. 3 46 85.49.23-11 15-9; 67-14 5.51 0. 4S 30-6 16. 10. 17. 54-3 90.31.25-4 22-60 62-8S 0. 4( il.6 2.7 0. '2 48 14-9 2.75 39 85. 0.49-20 40-22 68-98 4. 5S 0.87 35-0 Sub Sub. Sub Sub Sub Sub Sub Sub. Sub Sub Sub. Sub Sub. Go"oO 7. 0: 52.0 4.00 0.7 30 20-8 1.45 30 60'-0 10.2] i. oo 23-7 1763. Nov. 17. The Quadrant was evidently out of adjustment. See the errors of Jupiter and Saturn on this day, Reduction of Observations of Planets, pages 608 and 642. [H] 2 [52] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .S. J-i gj Change for O 1 '"! 1 in Argument. Parallactic Inequality. Variation. CUanjjeforOS'l 1 in Argument. Annual Equation. Evection. Change for 0--1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. Excess of Ob- served Ecliptic N.I'.D. Effect of Mean Inclination. br *! <2 s ft o.S Sfij e . .csu |z 2'2. 1764. .. Jan. 21.14.53.49-7 O f It 161. 52.36-30 // 41-04 // 55-26 * v 2.40 V \V 2.87 6.58 g ' 1.51 32 \ 13-0 g * 2.57 \\ 17 O ' " 87. 50. 10-82 // 12-60 ft 58-22 g v 7.65 1.81 39"2 23. 16. 29. 45-6 191.11.54-31 56-55 57-76 5.49 3.15 7.51 1.29 13 12-4 2.15 11 90.22.14-14 12-94 61-20 10.60 1.90 35-6 Feb. 10. 6.19.18-6 58.38. 4-36 0-17 64-19 2.96 1.15 0.31 0.41 09 6-8 1.11 52 85. 53. 11-34 6-69 64-65 5.75 0.44 14-3 11. 7. 9.29-6 71.15.41-14 42-84 58-30 1.79 1.30 0.67 0.16 16 6-6 1.40 53 85. 18. 9-13 3-47 65-66 5.08 0.61 17-0 13. 9. 0. 0-7 97. 38. 50-79 50-34 60-45 0.28 1.72 1.59 0.01 35 6-1 1.91 51 84. 50. 18-64 11-18 67-36 4.50 1.01 22-9 15. 10. 54. 28-9 125. 45. 28-61 25-91 62-70 0. 18 2.23 3.06 0.40 61 5-6 2.45 45 85.31.49-47 37-46 72-01 5.19 1.43 29-7 18. 13.34. 6-4 170. 25. 38-34 38-49 59-85 2.91 2.94 5.56 1.32 46 4-8 2.82 33 88. 39. 30-62 33-31 57-31 8.58 1.86 37-9 20.15. 13.20-7 200.41.39-74 51-25 48-49 6.15 3. 17 6.87 1.61 27 4-4 2.78 24 91.23. 6-80 8-08 58-78 11.59 1.87 40-0 24.18.55.12-3 259. 29. 33-56 40-97 52-59 12.42 2.73 7.72 0.55 08 3-6 2.08 11 95. 1.30-20 36-89 53-31 15.68 1.26 34-9 Mar. 13. 8.38.30-7 118.38.18-62 12-10 66-62 0.04 2.07 1.29 0.00 29 0-8 1.19 62 85. 9. 31-58 22-67 68-91 4.95 1.35 13-3 15. 10. 26. 24-0 147.30.64-63 48-47 76-16 1.02 2.59 2.66 0.25 48 0-6 1.77 52 86. 46. 52-99 38-59 74-40 6.68 1.71 19-4 16.11.17.46-6 162. 34. 53-60 37-91 75-69 2.08 2.82 3. 4C 0.54 53 0-5 2.04 50 87. 68. 60-79 44-55 76-24 7.98 1.83 22-9 17.12. 8.17-3 177.56.43-48 43-37 60-11 3.45 3.00 4.30 0.88 54 0-5 2.29 48 89. 20. 65-37 59-20 66-17 9.46 1.89 26-8 17. 12. 10. 34-9 177.58. 8-60 8-65 59-95 3.46 3.01 4.30 0.88 54 0-5 2.29 48 89. 21. 13-41 7-20 66-21 9.46 1.89 26-8 20.14.48.64-8 224. 33. 15-76 20-93 54-83 8.57 3.15 6.54 1.51 32 0-2 2.78 36 93.22.31-08 39-2f> 51-82 13.84 1.70 36-4 21.15.47. 1-5 239.47. 2-50 7-17 55-33 10.23 3.04 7.09 1.47 22 0-2 2.83 32 94. 19. 43-64 49-61 54-03 14.88 1.52 38-3 22.16.47. 36-5 254.41. 16-79 3-95 72-84 11.67 2.86 7.49 1.30 14 0-1 2.82 27 94. 58. 0-10 5-51 54-59 15.57 1.31 39-6 Apr. 11. 8. 12. 53-6 140. 21. 52-05 37-28 74-77 0.55 2.43 0.97 0.03 24 0-5 0.47 47 86. 17. 57-25 42-92 74-33 6.25 1.65 7-8 12. 9. 3.31-6 154. 50. 32-37 14-94 77-43 1.38 2.68 1.55 0.01 34 0'6 0.71 50 87.21.19-59 7-33 72-26 7.41 1.78 9-0 13. 9.53.19-9 169. 46. 48-32 27-38 80-94 2.56 2.89 2.23 0. 14 44 0-7 0.98 51 88. 37. 2->-79 5-i3 77-26 8.80 1.87 11-0 17. 13. 30. 23-4 232.25. 6-19 13-65 52-54 9.22 3.11 5.51 1.30 46 1-1 2. 11 50 93. 52. 19-94 24-31 5563 14.51 1.59 24-5 19. 15. 35. 65-9 263. 15. 54-34 42-83 71-51 12. 15 2.78 6.83 1.51 27 1-4 2.55 43 95. 7.58-33 61-77 50-56 15.84 1.16 31-6 20. 16. 38. 42-7 278. 1.24-47 12-09 72-38 13.16 2.54 7.31 1.40 18 1-5 2.70 39 95. 13. 45-07 46-80 58-21 15. 92 0.93 31-5 May 6. 4.21. 2-8 108. 15. 15-80 30-30 45-50 0.22 1.75 0.44 1.19 12 4-2 0.20 19 84. 59. 66-90 52-79 74-11 4.70 1.24 18-0 7. 5. 13. 59-2 121.26. 7-77 11-64 56-13 0.03 2. 00 0.26 0.90 08 4-4 0.08 23 85. 25. 20-40 1-05 79-35 5.19 1.43 15-2 8. 6. 5.11-2 134.54.57-81 60-17 57-64 0.22 2.26 0.25 0.59 08 4-6 0.01 27 86. 5.64-50 45-36 79-14 5.97 1.60 12-6 10. 7.42.49-0 162. 59. 31-59 19-62 71-97 1.79 2.76 0.75 0.09 19 5-0 0.05 36 88. 8.66-43 47-57 78-86 8.28 1.85 8-8 13. 10. 12. 9-7 208. 14. 27-41 30-23 57-18 6.36 3. 17 2.60 0.24 47 5-9 0.53 48 92. 6.58-25 50-50 67-75 12.70 1.81 8-1 17.14.20.55-1 271. 1.19-90 15-46 64-44 12.57 2.70 5.87 1.40 42 6-8 1.64 52 95. 5. 61-29 59-56 61 73 15.93 1.02 18-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o"-00 7.02 2.00 4.00 0.7(5 30 20-8 g \ 1.42 30 60-00 a \ 10.21 1. 00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [53] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .4r ll a" 1 cr e Change for OS'l 1 in Argument. Paral lactic Inequality. Variation. Change for 0*'! 1 in Argument. Annual Equation. Evection. Change for Oe-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. 1 Excess of Ob- 1 served Ecliptic 1 1 N.P.D. Effect of Mean Inclination. 1 Change for 0'l in Argument. |* .2&< ^j ^ 7-0 s v 1.93 51 O ' II 94. 58. 59-54 63-15 II 56-39 g * 15.77 0.79 21-7 20. 17. 15. 6-3 314. 8.57-38 46-02 71-36 13. 99 1.92 7.49 1.31 14 7'8 2.42 46 93.52. 5-06 7-46 57-60 14.47 0.40 28-5 21. 18. 2.28-7 327. 25. 10-94 8-76 62-18 13.69 1.68 7.72 1.05 09 8-0 2.60 42 92. 59. 48-26 49-88 58-38 13.47 0.26 31-3 23. 19. 20. 25-9 352. 45. 26-26 32-06 54-20 12.09 1.28 7.64 0.43 10 8-5 2.81 34 90. 55. 58-96 51-75 67-21 11.13 0.11 36-1 June 6. 5. 38. 22-8 158. 1. 17-33 19-62 57-71 I. 14 2.62 0.22 0.75 07 12-7 0.32 16 87. 57. 52-40 39-94 72-46 7.95 1.83 21-7 7. 6.24.5:3-7 172. 7. 36-09 29-94 66-15 2.24 2.84 0.29 0.45 09 13-0 0.16 20 89. 9.27-66 9-02 78-64 9.31 1.89 18-2 10. 8. 53. 2-4 216. 32.41-18 37-67 63-51 7.03 3.18 1.55 0.01 33 13-9 0.01 33 92. 53. 17-32 0-41 76-91 13.54 1.73 10-0 14.13. 4.35-1 278. 30. 28-54 22-86 65-68 12. 95 2.61 4.65 1.02 52 15-4 0.60 48 94. 58. 37-00 12-38 84-62 15.88 0.88 8-6 16. 15. 3. 17-2 307. 50. 21-48 26-48 55-00 13.99 2.08 6.17 1.47 38 16-0 1.14 52 94. 0.55-15 38-54 76-61 14.78 0.46 12-4 17. 15. 54. 14-3 321. 41. 42-65 45-34 57-31 13.92 1.83 6.79 1.51 28 16-4 1.43 53 93. 10. 19-72 4-80 74-92 13.82 0.30 15-2 July 7. 6.45.38-7 210. 59. 51-21 72-68 (38-53) 5.93 3.16 0.38 0.32 11 23-3 0.47 14 92.41.53-85 25-46 (88-39) 13.20 1.77 24-5 8. 7.39. 0-8 225. 52. 31-58 40-81 50-77 7.70 3.17 0.72 0.10 18 23-7 0.28 17 93.41.63-14 53-74 69-40 14.36 1.62 20-7 17.15.57.58-5 355. 10. 50-30 46-69 63-61 12. 35 1.32 7.06 1.49 23 26-8 0.93 51 90. 14. 14-52 8-66 65-86 10.60 0.10 9-7 18.16.38.19-9 7. 45. 37-47 31-13 66-34 11.22 1.17 7.47 1.33 15 27-1 1.21 52 89. 7.13-60 4-71 68-89 9.34 0.11 11-5 Aug. 12. 13. 8.33-2 336.23.24-37 16-52 67-85 13.63 1.65 4.59 1.00 53 34-6 0.00 31 91.46. 9-27 4-07 65-20 12.30 0.16 11-3 15.15.13.27-0 14.56. 7-51 2-91 64-60 10.74 1.12 6.75 1.52 29 35-5 0.29 44 88. 19. 32-81 30-23 62-58 8.49 0.14 7'6 Oct. 4. 8.10.38-2 313.21. 12-76 6-62 66-14 13.89 2.21 0.51 0.21 14 41-6 2.11 11 93.34. 1-56 14-41 47-15 14.01 0.33 39-8 5. 8.58.20-1 326. 42. 21-91 23-16 58-75 14.01 1.95 0.90 0.04 23 41-5 1.85 09 92. 34. 23-57 38-90 44-67 12.91 0.21 38-9 7. 10. 24. 13-2 352. 36. 19-76 5-87 73-89 13.13 1.48 2.13 0.11 42 41-4 1.29 08 90. 18. 26-59 32-26 54-33 10.42 0. 10 35-6 18. 19. 2. 40-5 130. 5. 12-10 13-30 58-80 0. 13 1.82 7.58 0.35 12 40-6 0.39 45 86.16.40-08 32-56 67-52 6.24 1.65 8-7 20. 20. 39. 45-8 157. 37. 56-25 54-66 61-59 0.35 2.34 6.71 0.05 29 40-4 0.86 51 88. 23. 17-43 25-32 52-11 8.60 1.86 7-4 31. 6. 7. 4-7 309. 3.43-75 43-18 60-57 13.61 2.37 0.27 0.95 08 38-7 2.83 28 93.43. 3-31 17-16 46-15 14.22 0.36 34-5 Nov. 4. 9. 4.16-4 1. 12. 23-00 10-55 72-45 12.82 1.41 1.17 0.01 27 38-0 2.29 13 89.27. 0-91 8-72 52-19 9.42 0.11 39-9 10.13.30.40-2 74.58.23-12 21-05 62-07 4.61 1.03 5.72 1.36 44 36-6 0.68 11 84. 59. 37-39 35-17 62-22 4.55 0. 88 32-9 29. 5.38.21-2 331. 12. 33-06 33-15 59-91 14.01 2.01 0.37 1.10 10 31-6 2.69 40 91.51. 3-87 17-64 46-23 12.24 0.16 25-0 Dec. 6. 10. 35. 16'2 58. 36. 35-46 34-73 60-73 7.06 0.97 2.83 0.31 49 29-2 2.23 12 85. 25. 10-34 16-18 54-16 1 4.95 0.65 39-6 7. 11.24.20-0 70. 54. 19-57 23-72 55-85 5.53 0.99 3.64 0.62 53 28-9 1.98 10 85. 6. 8-02 20-52 47-50 4.59 0.84 40-0 29. 5. 40. 38-4 5. 0.26-90 19-52 67-38 13.03 1.45 0.28 0.97 09 21-1 2.38 46 88. 38. 20-11 40-69 39-42 8.76 0. 13 17-5 31. 7. 2.41-1 29. 52. 53-55 61-34 52-21 10.88 1. 13 0.35 0.36 10 20-5 2.71 39 86. 42. 46-86 58-54 48-32 6.56 0.31 !23"2 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. j Sub. 60-00 f V 7.02 2. 0( 4. 00 6. 76 30 20-8 g > 1.42 30 60-00 \ 10.21 i. oo 23-7 [54] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for (K'l in Argument. || Variation. Change for 0"1 1 in Argument. c rt .O c c s Evection. S.1 Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. " W o," X ^ W a Effect of Mean Inclination. Change for OS- 1 in Argument. I' 1 ' |S5 1765. d h m s Feb. 3. 10. 39. 12-8 O ' /' 111.53.29-74 n 26-84 62-90 e * 1.86 \ v\ 1.29 \ \\ 2.77 g " 0.30 49 8-6 g v 2. 83 \\ 29 / II 85. 44. 45-35 n 35-96 // 69-39 e v 5.44 1. 50 26-8 Mar. 2. 8. 28. 48'5 106. 19. 39-73 51-20 48-53 2.56 1.20 1.09 0.01 26 2-4 2.27 48 85. 24. 43-29 38-23 65-06 5.23 1.44 11-5 May 31. 9. 9. 17"2 210. 40. 42-48 38-28 64-20 2.13 2.83 1.93 0.06 40 10-7 0.82 51 93. 45. 15-08 13-13 61-95 14.50 1.60 10-7 June 1.10. 5. 5-4 226. 2.38-68 35-26 63-42 3.51 3.01 2.66 0.26 48 11-0 1.10 52 94. 29. 64-90 53-81 71-09 15.35 1.39 8-8 3. 12. 13. 15-8 257. 52. 13-05 8-48 64-57 6.91 3. 18 4.36 0. 89 54 11-5 1.69 52 94. 58. 27-44 20-89 60-55 15. 90 0.91 7-5 3. 12. 15. 54-3 257. 53. 52-50 49-68 62-82 6. 91 3.18 4.36 0. 89 54 11-5 1.69 52 94. 58. 23-44 25-96 57-48 15. 90 0.91 7-5 4. 13. 24. 8-2 273. 54. 59-27 55-33 63-94 8.69 3.14 5.17 1.20 49 12-1 1.97 51 94.38. 4-26 2-70 61-56 15 52 0.66 8-2 6. 15. 30. 29-9 304. 57. 39-05 36-41 62-64 11.77 2.85 6.58 1.51 32 12-7 2.45 45 92. 59. 10-83 17-48 53-35 13. 65 0.28 12-2 11. 19. 23. 40-4 13.39.64-36 59-13 65-23 13.54 1.61 7.63 0.41 11 14-2 2.78 24 87. 17. 52-50 53-06 59-44 7.17 0.24 27-5 29. 8. 47. 21-5 233.59.44-17 45-26 58-91 4.10 3.05 1.59 0. 01 34 20-5 0.23 42 94. 53. 16 97 15-14 61-83 15. 69 1.26 18-7 30. 9.50.23-7 249. 36. 50-91 49-92 60-99 5.80 3.16 2.28 0. 14 44 20-8 0.41 46 95. 4.10-46 6-38 64-08 15.93 1.02 15-2 July 1.10.57.35-7 265.31.18-35 14-34 64-01 7.59 3.17 3.06 0.39 51 21-1 0.64 49 94.51.61-76 59-81 61-95 15. 74 0.77 12-2 2. 12. 5. 22-5 281.29.10-68 5-08 65-60 9.33 3.11 3.88 0. 72 54 21-4 0.90 51 94. 17. 15-36 14-03 61-33 15. 12 0.54 9-7 2. 12. 7. 59-5 281. 30.47-40 44-62 62-78 9.33 3. 11 3.88 0.72 54 214 0.90 51 94. 17. 10-80 9-46 61-34 15. 12 0.54 9-7 3. 13. 12. 24-5 297. 17.28-15 12-42 75-73 10.91 2.97 4.76 1.05 52 21-8 1.19 52 93. 23. 5-36 2-50 62-86 14.13 0.34 8-1 8. 17. 20. 27-7 8. 59. 34-95 35-78 59-17 13.83 1.76 7.64 1.17 11 23-7 2.50 45 87. 25. 6-03 4-73 61-30 7. 45 0.21 12-0 10.18.46.41-9 34. 35. 19-56 23-67 55-89 12.45 1.33 7.73 0.56 08 24-3 2.77 36 85. 45. 39-41 25-77 73-63 5. 55 0.48 17-0 11. 19.31. 50-1 47. 2.24-20 25-99 58-21 11.33 1.18 7.51 0.29 13 24-6 2.83 32 85. 14. 32-16 16-87 75-29 4.95 0.65 19-7 12.20.19. 8-1 59. 22. 13-21 12-79 60-42 10.00 1.06 7.12 0.11 21 24-9 2.82 27 84. 56. 59-14 44-97 74-17 4.59 0.84 22-4 13.21. 8.36-5 71. 38. 47-65 49-14 58-51 8.54 0.99 6.58 0.05 31 25-6 2.76 23 84. 53. 44-71 15-79 88-92 4.50 1.03 25-5 23. 4. 9.23-7 185. 39. 51-47 46-81 64-66 0.24 2.28 0.44 1.18 12 28-6 0.66 11 92. 25. 45-73 30-37 75-36 12.75 1.81 39-7 28. 8. 38. 13-2 258. 8. 58-49 57-95 60-54 6.47 3.17 1.29 0.00 29 30-1 0.00 30 95. 6. 54-61 51-40 63'21 15.86 0.86 28-5 29. 9.44.22-9 273.41.37-04 35-66 61-38 8.25 3.16 1.93 0.06 39 30-6 0.03 35 94. 40. 44-05 41-71 62-34 15.42 0.63 24-7 30. 10. 49. 41-7 289.18.51-12 47-45 63-67 9.95 3.06 2.66 0.25 48 30-9 0. 13 39 93. 53. 42-21 38-31 63-90 14.58 0.42 20-9 31.11.51. 8-2 304. 49. 7-07 3-32 63-75 11.44 2.90 3.46 0.55 53 31-2 0.28 43 92. 49. 42-35 40-59 61-76 13.43 0.26 17-2 Aug. 1.12.49.44-1 320. 3.63-54 50-54 73-00 12.64 2.68 4.30 0.88 54 31-5 0.47 47 91. 34. 20-47 27-79 52-68 12. 07 0.15 13-9 2. 13. 40. 55-0 334. 53. 12-92 5-31 67-61 13.48 2.43 5.11 1.19 50 31-7 0.71 50 90. 14. 36-67 42-58 54-09 10.61 0.10 11-3 4. 15. 13. 17-3 3. 7.31-97 25-04 66-93 13.99 1.91 6.54 1.51 32 32-3 1.26 53 87.44. 9-44 12-40 57-04 7.85 0.18 8-1 5. 15. 57. 14-2 16.33.33-01 26-31 66-70 13.67 1.67 7.09 1.47 22 32-8 1.56 52 86.41.50-38 56-36 54-02 6.70 0.29 7-5 7. 17.26.37-5 42.20. 8-35 5-32 63-03 12.05 1.27 7.72 1.04 09 33-3 2. 11 50 85.15.17-15 17-39 59-76 5.08 0.60 8-1 Sub. 60-00 Sub. s \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 10. 21 Sub. 1. 00 Sub. 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [55] Greenwich O & r S, Ecliptic *o "** A r Mean Solar Time of Longitude of M !. til t't 11 .H ti. Jl a J tl s s O g| d .9 1 S S N.P.D. of si" a i " 2 jc :- c | B 11 .2* Observation of Moon's Limb. Moon's Center from Observation. ? "s3 Iej 55 "hX * -^ 2P = o ** s 1" II 6.5 I! a 1 II 6.5 * *$ I -_, 3 S> -i u.S Moon's Center from Observation. W L- **4 1* *3 W w ||1 5 1 &> ! < o.S Htd 1765. d h m s ' n rt " 8 " , g > \ e * O 1 II a g v \ \\ > Aug. 8. 18. 13. 41-6 54. 50. 24-60 22-66 61-94 10.84 1.13 7.77 0.73 07 336 2.35 47 84.53. 0-51 0-08 60-43 4.66 0.79 9-2 10. 19. 53. 31-3 79. 29. 37-91 42-13 (5578) 7.96 0.98 7.34 0. 19 17 34-1 2.70 40 84.51.62-30 57-90 (64'40) 4.60 1.17 12-8 21. 3.40.27-1 209. 8. 63-29 54-33 68-96 1.18 2.63 0.60 1.30 16 36-6 1.40 08 94. 8.49-17 51-60 57-57 14.68 1.56 38-7 22. 4.31.29-7 223. 22. 25-66 19-94 65-72 2.30 2.85 0.33 1.05 10 37-0 1.11 09 94. 49. 20-73 21-48 59-25 15. 42 1.37 39-7 24. 6.27.289 252. 39. 8-33 10-40 5793 5.38 3. 14 0.30 0.43 09 37-4 0.59 12 95. 15. 25-81 29-93 55-88 15.91 0.92 39-5 27. 9. 36. 13-4 297. 52. 17-01 18-68 58-33 10.54 3.01 1.55 0.01 34 38-0 0.08 23 93.22. 5-38 5-41 59-97 13.87 0. 31 33-7 28. 10. 33. 29-4 312. 53. 50-94 51-24 59-70 11.93 2. 82 2.28 0.14 44 38-2 0.01 27 92. 11.50-33 49-94 60-39 12.60 0.18 30-6 29. 11.26. 14-9 327. 43. 21-24 19-49 61-75 12.99 2.59 3.06 0.38 51 38-5 0.00 32 90. 53. 32-94 32-81 60-13 11.18 0.11 27-0 30.12.15. 11-2 342. 15. 36-15 44-97 51-18 13.69 2.34 3.88 0.70 54 38-7 0.05 36 89.33.11-65 13-15 58-50 9.73 0.10 23-7 30. 12. 17. 24-9 342. 17. 2-67 2-54 60-13 13.69 2.33 3.88 0.70 54 38-7 0.05 36 89.33. 8-43 6-02 62-41 9.73 0.10 23-7 31.13. 3.39-9 356. 28. 36-63 50-71 45-92 14.00 2.07 4.71 1.03 52 38-8 0.16 41 88. 16. 20-94 19-04 61-90 8.33 0.15 20-2 Sep. 1.13.48.35-9 10.18.18-13 15-64 62-49 13.91 1.82 5.51 1.30 47 39-0 0.32 44 87. 7.39-45 40-67 58-78 7.09 0.25 17-0 5. 16. 54. 55-5 62. 12. 59-86 51-90 67-96 10.33 1.09 7.63 1.19 11 39-7 1.34 53 84. 44. 31-74 31-18 60-56 4.52 0.92 8-7 6. 17. 45. 28-4 74.36.51-27 50-87 60-40 8.90 1.01 7.76 0.90 07 39-8 1.63 52 84. 45. 50-56 43-49 67-07 4.55 1. 12 7-8 9.20. 18. 45-7 111.36. 8-87 13-22 55-65 4.35 1.04 7.12 0.12 21 40-2 2.40 46 86. 12. 27-35 '38-08 49-27 6.15 1.63 8-3 21. 5.23.57-7 263. 1.54-82 44-49 70-33 6.06 3.17 0.26 0.91 08 41-3 1.60 08 95. 2.40-70 55-88 44-82 15.69 0.74 37-3 23. 7.27.46-6 292. 37. 42-33 35-13 67-20 9.55 3.09 0.40 0.30 12 41-4 1.03 09 93.41.20-95 25-07 55-88 14.15 0.35 39-9 24. 8. 24. 55-6 307. 17. 14-62 10-07 63-95 11.10 2.94 0.75 0.09 19 41-5 0.76 10 92. 37. 35-23 35-72 59-51 12.97 0.21 39-9 25. 9.17.48-4 321. 47. 43-28 30-71 66-57 12.37 2.74 1.25 0.00 29 41-5 0.52 13 91.24.17-82 17-64 60-18 11.62 0.13 39-3 26. 10. 6. 55-8 336. 6. 56-56 54-32 62-24 13.30 2.50 1. 88 0.05 39 41-5 0.32 16 90. 6.41-18 40-17 61-01 10.20 0.10 37-9 30. 13. 10. 30-2 31. 1.30-28 20-02 63-66 13.20 1.50 5.05 1.16 50 41-6 0.01 33 85. 47. 53-42 57-95 55-47 5.51 0.49 27-5 Oct. 1.13.57.19-7 44. 4.10-61 10-10 54-51 12.31 1.31 5.82 1.40 43 41-6 0.08 37 85.13. 6-83 9-50 57-33 4.90 0.67 24-5 2.14.46. 1-1 56. 51.50-67 49-36 67-31 11.16 1.16 6.49 1.51 33 41-6 0.20 41 84. 53. 32-79 28-98 63-81 4.56 0.86 21-4 3.15.36.24-6 69. 26. 23-05 17-15 65-90 9.81 1.05 7.06 1.48 23 41-6 0.37 45 84.49. 3-42 0-55 62-87 4.51 1.06 18-7 9.20.31. 5-6 143.58.18-21 15-51 62-70 1.45 1.36 6.91 0.07 25 41-4 1.98 51 88.50.50-88 40-72 70-16 9. 10 1.88 7-7 10.21. 15. 11-5 157. 0.25-75 33-06 (52'69) 0.64 1.56 6.31 0.07 35 41-3 2.24 48 90. 0.40-61 55-24 (45-37) 10.39 1.90 7-4 23. 8. 3. 19-0 331. 22. 32-77 21-75 71.02 12.77 2.65 0.55 0.19 15 40-0 1.62 08 90. 25. 27-14 24-48 62-66 10.53 0.10 37-9 25. 9.33.51-7 358. 55. 16-57 9-05 67-52 13.96 2.14 1.55 0.01 34 39-8 0.96 09 88. 1. 4-50 4-25 60-25 7.84 0.18 39-9 27.11. 2. 8-3 25. 39. 16-00 16-78 59-22 13.60 1.64 3.00 0. 36 50 39-5 0.47 14 86. 7.33-87 35-04 58-83 5.75 0.44 39-4 27.11. 2. 8-3 25. 39. 17-02 16-78 60-24 13. 60 1.64 3.00 0.36 50 39-5 0.47 14 86. 7.31-30 35-04 56-26 5.75 0.44 39-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. II g > V \ U a \ g . \v 1 60-00 7. 02 2. 00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 1765. August 10. The Moon's Observed Z. D. has been decreased 2 Verniers. [56] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich *O r - 7 Ecliptic ^ -s i o - Mean Solar Time Longitude % %4 O l <$ H J * from :/} .a ^ u W "g i < > , Moon's Limb. Observation. O " = 6.2 o.S Observation. H w % 6.s V 1765. d h m 9 o / " tt " s v > V V> g " s * I ft ff g % x > Oct. 29. 12. 38. 7-7 51.38.14-66 15-13 59-53 11.90 1.25 4.65 1.00 53 39-2 0. 13 21 85. 5.48-31 49-39 58-92 4.63 0.81 36-6 30.13.28. 2-0 64.20. 7-57 5-65 61-92 10.67 1. 11 5.45 1.29 47 38-9 0.04 25 84.57. 13-21 14-48 58-73 4.50 1.00 34-5 31. 14. 19. 22-6 76. 51. 23-86 25-41 58-45 9.26 1.02 6.17 1.47 38 38-7 0.00 29 85. 3. 28-96 26-02 62-94 4.64 1.20 32-0 Nov. 1. 15. 11. 8-5 89. 13. 54-06 52-55 61-51 7.75 0.98 6.79 1.51 28 38-6 0.02 34 85. 23. 33-29 33-57 59-72 5.04 1.38 29-5 2.16. 2. 7-5 101. 30. 9-37 3-50 65-87 6.21 0.98 7.28 1.42 19 38-4 0.10 38 85. 56. 30-82 21-48 69-34 5.67 1.55 26-5 2.16. 2. 7-5 101.30. 8-60 3-50 65-10 6.21 0.98 7.28 1.42 19 38-4 0. 10 38 85. 56. 22-60 21-48 61-12 5.67 1.55 26-5 3.16.51.22-0 113. 43. 49-63 46-49 63-14 4.71 1.03 7-61 1.21 11 38-2 0.24 43 86. 40. 27-50 17-57 6993 6.52 1.69 23-7 5. 18. 23. 27-3 138.24. 9-22 3-28 65-94 2.09 1.26 7.74 0.60 08 37-8 0.65 49 88. 34. 34-56 27-16 67-40 8.69 1.87 18-0 7. 19. 49. 59-0 164. 1.27-88 28-75 59-13 0.42 1.65 7.16 0.13 20 37-2 1.20 52 90. 49. 15-94 21-46 54-48 11.24 1.89 12-9 19. 6. 1. 9-6 327. 8.47-68 44-03 63-65 12. 10 2.79 0.26 0.92 08 34-5 2.63 19 90. 33. 9-97 12-57 57-40 10.81 0.10 24-2 20. 6.48. 11-9 341. 6.65-12 54-99 70-13 13.11 2.56 0.24 0.60 08 34-3 2.46 15 89. 19. 27 32 30-68 5664 9.42 0.11 27-5 21. 7.32.41-5 354. 45. 15-82 6-85 68-97 13.76 2.30 0.38 0.31 11 34-0 2.25 12 88. 9. 55-50 57'OJ 58-46 8. 09 0.16 306 22. 8.16. 4-0 8. 6.61-41 53-88 67-53 14.01 2.04 0.72 0.10 18 33-5 2. 00 10 87. 7.59-91 59-11 60-80 6. 91 0.27 33-5 23. 8. 59. 34-5 21. 15. 21-59 15-27 66-32 13.87 1.78 1.21 0.00 28 33-2 1.73 09 86. 16. 23-65 23-42 60-23 5.94 0.40 35-8 24. 9. 44. 16-5 34.12.53-15 47-36 65-79 13.37 1.55 1.83 0.05 38 33-0 1.45 08 85.37.11-30 14-00 57-30 5. 19 0.57 37-6 25. 10. 30. 54-2 47. 1. 16-70 11-21 65-49 12. 56 1.36 2.55 0.22 47 32-7 1.16 08 85.11.55-94 55-70 60-24 4.71 0.76 38-9 27.12.12.46-1 72. 15. 21-52 18-86 62-66 10.15 1.07 4. 18 0.83 54 32-1 0.64 12 85. 5. 8-43 9-83 5860 4.57 1.15 40-0 29. 13. 55. 52-7 96.59. 51-25 48-96 62-29 7. 16 0.97 5.77 1.39 43 31-6 0.23 18 85.54. 1-77 5-36 50-41 5.50 1.51 38-9 29.13.55.52-7 98. 59. 51-50 48-98 62-54 7. 16 0.97 5.77 1.39 43 31-6 0.23 18 85.54. 6-21 5-36 60-85 5.50 1.51 38-9 30. 14. 45. 44-2 109. 13. 51-93 52-48 59-45 5.63 0.99 6.45 1.51 34 31-0 0.10 22 86.36. 17-16 16-36 60-80 6.29 1.65 37-7 Dec. 1. 15. 33. 19-8 121. 25. 42-62 41-74 60-88 4. 16 1.06 7.02 1.49 24 30-7 0.02 26 87. 27. 53-02 49-46 63-56 7.26 1.77 35-9 3. 17. 1. 43-9 145. 59. 33 85 25-26 68-59 1.69 1.32 7.70 1.08 09 30-1 0.04 35 89.30.33-18 30-31 62-87 9.58 1.90 31-6 1 4. 17. 43. 44-7 158. 32. 20-71 16-56 64-15 0.81 1.51 7.78 0.77 07 29-8 0.13 39 90. 36. 55-36 56-39 58-97 10.83 1.90 28-7 5. 18. 25. 39-0 171. 24. 14-96 7-42 67-54 0.24 1.74 7.67 0.47 09 29-5 0.28 43 91. 43. 10-03 11-42 58-61 12. 10 1.85 25-8 7. 19. 54. 21-8 198. 29. 36 42 28-21 68-21 0.20 2.25 6.95 0.08 24 28-6 0.71 50 93.41.38-73 39-78 58-95 14.36 1.62 19-4 18. 5.30.26-7 350. 19. 34-12 34-70 59-42 13.40 2.46 0.34 1.08 10 25-1 2.83 30 88. 15. 44-79 45-63 59-16 8.37 0. 15 14-8 19. 6. 14. 45-2 3.58.10-12 8-88 61-24 13.90 2.20 0.23 0.77 07 24-8 2.81 26 87. 10. 52-97 56-40 56-57 7.14 0.24 17-5 23. 9. 16. 10-3 55. 36. 36-39 42-45 53-94 12.16 1.29 1.50 0.01 33 23-1 2.19 11 84.56.40-13 39-40 60-73 4.52 0.91 29-5 24. 10. 6. 0-9 68. 5.59-10 53-14 65-96 10.98 1. 14 2.18 0.11 43 22-8 1.93 09 84. 58. 51-31 53-08 58-23 4.54 1.11 32-2 24. 10. 6. 0-9 68. 5. 59-55 53-14 66-41 10.98 1.14 2. 18 0. 11 43 22-8 1.93 09 84. 58. 48-72 53-08 55-64 4. 54 1. 11 32-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. it K \ \ \ \\ a \ ^ \ t \ u e \ * u x 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [57j Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center frotn Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. '=- c Change for 0-1 1 in Argument. Parallactic Inequality. Variation. Change for fle-1 in Argument. Annual Equation. Evection. Change for OS- 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. e'a. lfz Effect of Mean Inclination. Change for OS- 1 1 in Argument. 1 1765. * - Deo. 27. 12. 41. 33-6 o / /' 105. 5.57-44 ft 63-44 tt 54-00 g " 6.58 g * 0.99 \\ 53 21-8 s * 1.09 09 o / // 86. 26. 24-23 35-97 it 48-26 g " 6.10 \ \\ 1.62 1 38-1 0.97 4.59 1766. 1 Jan. 1.16.22.33-9 166.44.19-11 14-74 64-37 0.56 1.59 7.60 1.23 12 19-8 0.08 23 91. 34. 19-32 13-99 65-33 11.79 1.87 38-7 18. 6. 25. 13-8 38. 46. 45-86 51-63 54-23 13.52 1.61 0.24 0.63 07 13-9 2 81 34 85. 5. 11-40 9-21 62-19 4.88 0.68 11-7 || 20. 8. 2. 4-2 64. 3. 16-28 23-02 53-26 11.74 1.23 0.69 0.11 18 13-3 2.79 25 84.48.17-91 16-09 61-82 4.51 1.07,16-3 | 22. 9.44.17-9 88. 44. 27-92 37-08 50-84 9.06 1.01 1.78 0.04 38 12-7 2.55 17 85.29.25-43 28-70 56-73 5.21 1.43 21-9 28. 14. 22. 7'4 162. 46. 22-40 32-44 49-96 1.00 1.46 6.40 1.50 34 106 1.02 09 91. 20. 14-20 8-26 65-94 11. 54 1.88,37-0 30.15.45. 11-7 188. 26. 47-63 44-51 63-12 0.05 1.92 7.42 1.35 15 10-0 0.52 13 93. 25. 3-87 0-11 63-76 13.83 1.70 39-5 Feb. 2. 18. 8. 58-8 229.21.55-2545-09 70-16 1.45 2.69 7.69 0.49 09 8-9 0.05 24 95. 12. 59-04 63-51 55-53 15.85 1.15 38-9 3. 19. 6. 29-4 243.51.60-19 45-86 74-33 2.66 2.91 7.42 0.23 15 8-6 0. 00 28 95. 15. 13-25 15-28 57-97 15.91 0.92 37-3 18. 7.38.27-5 84. 22. 43-60 59-97 43-63 9.96 1.06 0.51 0.22 14 4-8 2.76 37 85. 14. 65-80 56-79 69-01 5.08 1.39 8-9 19. 8. 29. 42-2 96. 38. 54-36 66-55 47-81 8.48 0.99 0.90 0.04 22 4-6 2. 82 33 85. 51. 13-91 11-80 62-11 5.73 1.56 10-4 20. 9.19.34-1 108. 52. 26-75 33-65 53-10 6.95 0.97 1.46 0.00 32 4-4 2.83 28 86. 38. 40-38 38-69 61-70 6.58 1.70 12-2 Mar. 3. 17. 59. 5'7 253. 33. 11-91 11-23 60-68 3.20 2. 98 7.75 0.64 08 2-1 0.46 14 95. 4.43-27 54-01 49-26 15.71 0.75 39-5 15. 3.46. 7-7 53. 50. 41-22 47-29 53-93 12.99 1.46 0.90 1.41 21 0-7 1.22 52 84. 46. 49-78 58-88 50-90 4.50 0.95 14-6 16. 4.37.42-3 66. 46. 54-76 62-22 52-54 12.02 1.27 0.51 1.23 13 0-6 1.51 53 84. 50. 8'80 3-77 65-03 4.58 1.15 12-2 17. 5.29.59-3 79. 25. 19-71 3220 47-51 10.80 1.13 0.28 0.96 08 0-5 1.80 52 85. 8. 21-54 15-81 65-73 4.93 1.34 10-4 20. 8. 1. 14-3 116.20. 5-22 17-79 47-43 6.36 0.98 0.66 0. 12 17 0-3 2.52 44 87. 16. 9-79 8-13 61-66 7.32 1.78 7-5 21. 8.47.31-3 128. 35. 14-81 22-19 52-62 4.86 1.02 1.13 0.01 27 0-2 2.68 40 88. 16. 44-01 40-36 63-65 8.43 1.86 7-5 22. 9.31.43-0 140. 57. 14-99 20-38 54-61 3.45 1.11 1.73 0.03 37 0-2 2.78 36 89. 22. 28-95 29-95 59-00 9.65 1.90 8-1 23. 10. 14. 24-6 153. 30. 32-35 34-29 58-06 2.22 1.24 2.44 0.19 46 o-i 2.83 31 90. 30. 61-01 58-65 62-36 10.91 1.89 92 26. 12. 24. 39-4 192. 48. 31-52 30-66 60-86 0.09 1.86 4.88 1.10 51 o-o 2.63 18 93.40. 9-64 6-21 63-43 14.36 1.62 15-4 27. 13. 11. 0-8 206. 30. 38-88 32-45 66-43 0.07 2.12 5.67 1.36 45 o-o 2.45 15 94. 25. 33-09 26-54 66-55 15.18 1.44 18-4 April 15. 5. 4. 5'2 99. 3. 18-18 26-58 51-60 8.85 1.00 0. 37 1.11 11 0-8 1.01 52 86. 15. 37 77 34-53 63-24 6.08 1.62 19-2 16. 5.53.41-6 111. 19.38-96 50-82 48-14 7.33 0.97 0.24 0.82 07 0-9 1.30 53 87. 5. 0-86 0-49 60-37 7.02 1.75 16-5 17. 6.40.46-9 123. 32. 6-01 16-98 49-03 5.79 0.99 0.27 0.50 08 1-0 1.59 52 88. 2. 14-81 12-59 62-22 8.10 1.84 13-9 18. 7.25.29-0 135. 46. 29-92 42-05 47-87 4.31 1.05 0.48 0.23 13 1-1 1.87 51 89. 4. 60-92 57-50 63-42 9.28 1.89 11-8 21. 9.32.15-0 173. 40. 17-20 22-28 54-98 0.89 1.49 2.08 0. 09 41 1-5 2.56 43 92. 21. 20-51 21-54 58-97 12.96 1.79 7-8 27. 14.47. 3-1 258. 55. 46-29 39-09 67-20 2.87 2.94 6.67 1.52 30 2-5 2.58 17 94. 36. 26-78 36-28 50-50 15.43 0.63 15-9 28. 15. 50. 23-1 273. 54. 28-94 21-76 67-18 4.40 3.09 7. 19 1.45 20 2-6 2.40 14 93. 55. 35 80 42-05 53-75 14.65 9.43 192 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0. 76 Sub. Sub. Sub. Sub. Sub. 60-00 Sub. 0.2i Sub. L. 00 Sub. 23-7 2. 00 4.00 30 20-8 1.42 30 GREENWICH LUNAR REDUCTIONS. [I] [58] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .S. .e-1 z3 a* W i < Change for Oe-1 1 in Argument. Parallactic Inequality. Variation. Change for 0' 1 in Argument. Annual Equation. Evection. Change for OS'l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of ; Tabular Ecliptic I N.P.D. J..2 O o. V| 3-0: z >z. =2 si Effect of Mean Inclination. Change for 08-1 in Argument. Evection in E. N. P. D. 1766. ; May 14. 4.34. 8'0 1 * 118. 36. 45-76 a 54-69 51-07 g " 6.74 0.97 5-9 e "- 0.34 45 O 1 II 87. 53. 10-25 12-29 H 57-96 t ' 7.77 1.81 29-9 0.53 s * 1.25 14 17. 6.44.15-1 155.20. 13-10 14-36 58-74 2.50 1.20 0.34 0.37 10 6-6 1.08 52 91. 3.27-30 22-40 64-90 11.38 1.88 21-7 21. 9. 38. 22-6 208. 4.20-16 26-53 53-63 0.04 2.05 2.38 0.17 45 7-8 2.20 49 94. 33. 24-25 2525 59-00 15.38 1.38 10-8 26. 14. 41. 39-3 283. 15. 40-53 33-01 67-52 5.05 3. 13 6.36 1.50 35 9-1 2.83 29 93. 9. 56-05 64-25 51-80 13.89 0.31 9-2 June 14. 5.20.47-6 162. 50. 34-04 33-87 60-17 2.07 1.26 0.24 0.84 07 15-1 0.21 42 91.56.24-34 14-61 69-73 12. 24 1.84 34-5 19. 9.10. 6-1 229. 50. 30-23 35-84 54-39 0.52 2.42 2.03 0.08 41 16-7 1.44 53 95. 6.57-00 59-91 57-09 15.93 1.03 19-4 21. 11. 14. 0-1 260. 10. 53-71 53-28 60-43 2.52 2.89 3.58 0.69 53 17-6 2.01 50 94. 26. 28-70 19-26 69-44 15.25 0.57 12-9 24. 14. 28. 16-2 307. 16. 59-77 59-85 59-92 7.48 3. 18 5.97 1.44 41 18-6 2.65 41 91. 7.50-55 52-16 58-39 11.63 0.13 7-6 July 16. 6. 56. 56'0 223. 15. 20-95 21-63 59-32 0.21 2.25 0.60 0. 15 16 26-2 0.25 43 95. 13. 1-90 2-66 59-24 15.89 1.11 35-4 19. 9.57.46-1 267.43. 9-48 4-49 64-99 3.05 2.96 2.33 0.17 45 27-1 0.95 51 94. 6.40-65 42-69 57-96 14.76 0.45 26-0 23.14. 3.35-1 330. 43. 43-54 47-65 55-89 9.83 3.07 5.62 1.34 45 28-6 2.09 50 88. 55. 59-06 70-77 48-29 9.16 0.12 11-8 26. 16. 30. 40-3 15. 10. 11-77 12-89 58-88 13.42 2.46 7.37 1.38 17 29-5 2.69 40 85.37. 7-97 9-53 58-44 5.51 0.49 7-5 Aug. 15. 7. 39. 36-3 260. 35. 47-86 49-26 58-60 2.20 2.84 0.81 0.07 20 35-3 0.05 36 94.31. 1-31 4-93 56-38 15.08 0.53 38-9 16. 8.43.15-2 275. 39. 58-90 57-33 61-57 3.62 3. 02 1.33 0.00 30 35-5 0.15 40 93. 38. 38-62 40-86 57-76 14.13 0.34 37-3 19.11.44.38-6 322.30. 6-80 7-67 59-13 8.78 3.14 3.52 0.58 53 36-2 0.76 50 89.41. 4-86 6-16 58-70 9.83 0. 10 28-3 20. 12. 40. 27-3 338. 9.51-17 54-71 56-46 10.42 3.02 4.36 0.91 53 36-6 1.03 52 88. 16. 2-57 5-40 57-17 8.30 0. 15 24-5 21. 13. 31. 15-5 353.33. 0-61 9-12 51-49 11.82 2.84 5.17 1.21 49 36-8 1.32 53 87. 0. 14-43 11-55 62-88 6.93 0.26 20-7 23.15. 9.53-0 23. 8. 3-98 9-67 54-31 13.65 2.36 6.58 1.52 31 37-2 1.89 51 85.14.44-59 45-61 58-98 5.04 0.62 14-1 24. 15. 59. 49-3 37. 13. 36-87 39-52 57-35 13.99 2.09 7.12 1.46 21 37-4 2. 16 49 84. 49. 50-90 44-32 66-58 4.60 0.83 11-5 25. 16. 50. 59-4 50.51.21-16 22-74 58-42 13.93 1.84 7.53 1.28 13 37-6 2.39 46 84. 43. 18-29 14-97 63-3-2 4.50 1.04 9-7 27. 18. 36. 17-9 76. 54. 58-26 66-51 51-75 12.74 1.39 7.76 0.69 07 38-0 2.72 39 85. 19. 63-91 48-25 75-66 5.20 1.43 7-6 Sep. 13. 7. 32. 3-0 284. 29. 38-39 39-00 59-39 4.22 3.07 0.60 0.16 16 40'6 0.06 23 92.56.22-10 31-79 50-31 13. 32 0.24 39-5 14. 8.31.59-3 299. 32. 26-74 20-67 66-07 5.92 3.16 1.05 0. 02 25 40-7 0.01 28 91.43. 5-16 10-21 54-95 11.96 0. 14 40-0 15. 9.29. 3-7 314.48. 2-00 2-57 59-43 7.69 3.17 1.63 0.02 35 40-8 0.01 32 90.21.34-01 34-22 59-79 10.46 0.10 39-7 18.12. 7. 3-4 0.50.37-17 51-66 45-51 12.28 2.76 3.94 0.73 54 41-1 0.36 45 86. 30. 55-88 46-00 69-88 6.25 0.35 33-9 19. 12. 56. 59-1 15. 50. 37-33 46-46 50-87 13.24 2.52 4.76 1.06 52 41-1 0.67 48 85. 38. 31-21 27-74 63-47 5.32 0. 54 30-6 20. 13. 47. 39-0 30. 28. 46-37 50-59 49-78 13.82 2.26 5.56 1.33 46 41-3 0.82 51 85. 4.49-52 44-78 64-74 4.73 0.75 27-3 21. 14. 39. 39-0 44. 41. 10-53 16-82 63-71 14.01 1.99 6.27 1.49 37 41-3 1.10 52 84.50.31-14 25-21 05-93 4.50 0.97 23-0 22. 15. 33. 1-0 58. 26. 10-96 14-36 56-60 13.81 1.74 6.87 1.51 26 41-4 1.39 53 84.54.43-07 37-12 05-95 4.61 1.18 20-7 Sub. 6o"-00 Sub. 7.02 Sub. Sub. Sub. g \ 0.76 Sub. 30 Sub. 20-8 Sub. g - 1.42 Sub. 30 Sub. oo'-oo Sub. 10.21 Sub. 1. 00 Sub. 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [59] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. 11 aj Change for 0s- 1 I in Argument. Parallactic Inequality. Variation. Change for 0- 1 in Argument. Annual Equation. Erection. Change for 08-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. 4-3 2| 11* zl Effect of Mean Inclination. Change for 0- 1 1 in Argument. 1 WW 1760. d b m ' O / II it it s > V \ \\ g v \\ \ g v v\ O t II // a g % \ \\ 1 Sep. 23.16.27. 9'2 71. 44. 35-11 39-37 55-74 13.25 1.52 7.34 1.39 17 41-4 1.69 52 85. 15. 30-53 23-42 67-11 6.03 1.38 17-7 25. 18. 13. 18-0 97. 14. 18-60 25-21 53-39 11.23 1.17 7.77 0.86 07 41-5 2.22 49 86. 36. 24-93 24-00 60-93 6.58 1.69 12-6 26. 19. 3. 11-6 109. 34. 58-96 67-04 51-92 9.90 1.06 7.72 0.65 09 41-6 2.45 46 87. 31. 15-61 16-62 58-99 7.61 1.80 10-5 27. 19. 50. 17-2 121.47. 1-00 3-03 57-97 8.43 0.99 7.49 0.28 14 41-5 2.62 42 88. 32. 23-22 17-37 65-85 8.75 1.87 9-1 Oct. 10. 5.24.46-8 279.41.23-19 16-46 06-73 3.26 2.98 0.25 0.88 08 41-4 0.98 09 93. 5.49-35 63-84 45-51 13.60 0.27 28-3 11. 6.23.42-3 294. 15. 49-34 44-73 64-61 4.86 3. 12 0.25 0.56 08 41-3 0.72 11 91.58.46-24 53-77 52-47 12.32 0.16 31-6 12. 7. 19. 55-0 308.58.43-14 43-81 (59-33) 6.60 3. 18 0.42 0.27 12 41-2 0.49 13 90. 43. 22-99 14-98 (68-01) 10.90 0. 10 34-5 13. 8. 13. 7-6 323. 48. 47-32 46-92 00-40 8.35 3.15 0.78 0.07 20 41-2 0.29 17 89. 24. 13-68 11-66 62-02 9.41 0.11 36-9 16. 10. 42. 14-9 8. 32. 31-51 38-68 52-83 12.68 2.67 2.66 0.26 48 40-9 0.00 29 86. 1.59-93 57-49 62-44 5.65 0.46 40-0 17.11.32. 7-7 23. 15. 54-25 58-83 55-42 13.50 2.42 3.46 0.66 53 40-8 0.02 34 85. 22. 11-88 15-64 56-24 4.92 0.66 39-4 18. 12. 25. 56-9 37. 45. 23-12 28-10 55-02 13.94 2.16 4.30 0.89 54 40-7 0. 10 38 85. 1.17-63 12-82 64-81 4.55 0.88 38-1 19. 13. 19. 22-3 51. 53. 28-89 30-27 58-62 13.98 1.90 5.17 1.19 49 40-0 0.23 42 84. 59. 14-79 9-31 65-48 4.53 1.10 36-3 20. 14. 14. 13-9 65. 38. 8-63 10-43 58-20 13. 64 1.05 5.92 1.42 42 40-5 0.41 46 85. 14. 64-27 47-00 67-27 4.85 1.31 33-9 21.15. 9.24-6 78. 58. 21-58 20-03 60-95 12.96 1.44 6.58 1.51 32 40-3 0.64 49 85. 45. 49-42 45-01 64-41 6.46 1.50 31-1 22.16. 3.27-3 91.55.10-12 7-65 62-47 11.97 1.20 7. 12 1.47 22 40-2 0.90 51 86. 29. 18-69 8-64 70-05 6.29 1.65 28-3 24. 17. 43. 43-5 116.52.59-12 58-38 60-74 9.35 1.03 7.73 1.03 08 39-9 1.47 53 88.21.21-99 13-78 68-21 8.42 1.86 22-4 26. 19. 12. 17-4 141. 13. 34-30 32-93 61-43 6.32 0.98 7.63 0.41 10 39-6 2.04 50 90. 28. 53-95 48-80 65-15 10.83 1.90 17-0 Nov. 7. 4. 18. 58-0 289. 55. 17-90 9-33 68-57 3.85 3.04 0.67 1.29 15 37-4 2.02 10 92. 4.33-05 44-34 48-71 12.59 0.18 15-6 9. 6. 9. 3"2 319. 9.17-16 11-53 65-63 7.27 3.18 0.22 0.72 07 37-0 1.47 08 89. 33. 67-90 57-67 60-23 9.73 0.10 22-4 10. 6.59.17-9 333. 43. 34-36 29-66 64-70 9.01 3.13 0.31 0.42 09 36-8 1. 19 08 88. 18. 50-65 48-37 62-28 8.31 0.15 25-8 11. 7.47.34-3 348. 15. 40-66 36-66 64-00 10.61 3.00 0.57 0.17 15 366 0.91 09 87. 10. 32-71 29-61 63-10 7.01 0.25 29-2 13. 9. 23. 14-8 17. 9. 10-31 11-29 59-02 13.03 2.58 1.59 0.01 34 36-2 0.43 14 85. 31. 12-28 15-20 57-08 5.11 0.60 35-2 14. 10. 12. 55-7 31.26. 4-72 4-23 60-49 13.71 2.32 2.28 0.14 44 35-7 0.25 17 85. 6.20-26 19-52 60-74 4.63 0.81 37-3 16. 12. 1. 10-6 59. 24. 23-49 21-32 62-17 13.90 1.80 3.88 0.71 54 35-3 0. 03 26 85. 11. 7-46 1-89 65-57 4.70 1.24 39-8 17. 12. 56. 31-1 72. 57. 40-30 35-72 64-58 13.42 1.57 4.71 1.04 52 35-0 0.00 30 85. 38. 41-72 36-59 65-13 5.21 1.44 40-0 18. 13. 51. 39-8 86. 10. 61-07 56-40 64-67 12.62 1.37 5.61 1.31 46 34-8 0.03 35 86. 19. 56-61 49-65 66-96 5.99 1.61 39-5 19.14.45. 0-6 99. 4.13-50 10-97 62-53 11.54 1.20 6.22 1.43 37 34-5 0. 13 39 87. 11. 41-22 3353 67-69 6.95 1.74 38-6 21. 16. 22. 31-4 123. 59. 47-95 39-72 68-23 8.80 1.00 7.31 1.40 18 33-8 0.47 47 89. 13. 57-39 49-21 68-18 9.26 1.89 35-2 22.17. 6.33-7 136. 10. 57-58 48-14 69-44 7.28 0.97 7.63 1.18 11 33-5 0.70 49 90. 18. 39-77 32-62 67-15 10.48 1.90 33-1 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 ft \ 7.02 2.00 \ \\ 4.00 0.70 M 30 20-8 1.42 \\ 30 60-00 g \ 10.21 \ \\ 1.00 23-7 1766. October 12. The Moon's Observed Z.D. has been increased 2 Verniers. [I] 2 [60] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation- ly Excess of Observed Longitude. 11 HJ Change for Of-l 1 in Argument. Parallactic Inequality. Variation. Change for Os-ll in Argument. Annual Equation. Evection. Change for OK- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. o'i. ^. S-s. E v iv u Effect of Mean Inclination. Change for Oe-1 1 in Argument. !*: ww 1766. d h m " o / // // " g * V \ \N g * g * o / // " g ^ V Nov. 26. 19. 49. 42-9 185. 27. 23-23 23-76 59-47 1.78 1.30 7.12 0.11 21 32-4 1.83 52 94. 2.37-39 43-83 53-56 14.73 1.55 21-9 Dec. 8. 5.45.38-0 343. 56. 39-73 32-37 67-36 9.65 3.09 0.25 0.89 08 28-6 2.20 12 87. 14. 34-59 43-76 50-83 7.25 0.23 13-5 9. 6.32.55-6 358. 20. 27-75 1900 68-69 11.17 2.93 0.25 0.58 08 28 3 1.95 10 86. 15. 29-18 27-21 61-97 6.12 0.37 16-6 15.11.39. 7-7 80. 47. 53-02 46-62 66-40 13.16 1.49 3.46 0.54 53 26-1 0.38 15 86. 4. 5-39 4-99 60-40 5.73 1.56 34-9 17.13.27.13-7 106.30.35-09 32-88 6221 11.07 1.15 5.11 1.18 50 25-4 0.08 23 87. 53. 45-71 40-73 64-98 7.73 1.81 38-4 22.17. 3.56-7 167.42.48-15 31-61 76-54 3.76 1.08 7.72 1.05 09 23-5 0.32 44 93. 8.57-82 53-75 64-07 13.56 1.73 38-3 1767. Jan. 10. 8.39. 3'4 63. 13. 49-60 50-70 58-90 13.96 1.86 0.97 0.03 24 16-8 1.88 09 85. 9.55-02 68-47 5655 4.92 1.34 16-5 11. 9.33. 0-1 76. 20. 15-03 13-07 61-96 13.57 1.62 1.55 0.01 34 16-5 1.60 08 85. 45. 35-67 3694 58-73 5.55 1.52 19-4 12.10.26.45-1 89. 13.21-65 20-28 61-37 12.84 1.41 2.23 0. 13 44 16-2 1.32 08 86. 33. 39-73 41-06 58-67 6.41 1.67 22-4 18. 15. 1. 36-2 163. 13. 7-13 0-06 67-07 4.63 1.03 6.79 1.51 28 13-9 0.06 24 92. 54. 53-17 47-01 66-KJ 13.30 1.76 37-3 20. 16. 20. 57-5 187.41.31-58 20-94 70-64 2.04 1.26 7.61 1.20 11 13-3 0.01 33 94. 29. 4-83 3 11 61-72 15.03 1.48 39-6 Feb. 2. 3. 10. 0-8 2. 11.37-42 42 '68 54-74 10.82 2.98 1.33 1.46 30 9-2 2.63 42 85. 48. 16-83 17-74 59-09 5.68 0.45 11-8 3. 3.59.53-8 17. 4.40-77 40-26 60-51 12.14 2.78 0.81 1.39 20 8-9 2.75 37 85. 6.42-52 54-28 48-24 4.94 0.66 9-7 4. 4.50. 18-9 31.31. 2-56 4-28 58-28 13.15 2.55 0.44 1. 19 12 8-6 2.82 33 84. 45. 23-20 29-82 53-38 4.55 0.87 8-3 8. 8.22.40-1 85. 13. 5-09 11-90 53-19 13.33 1.54 0.75 0.09 19 7-3 2.51 16 86. 16. 11-05 10-65 60-40 6.22 1.64 9-2 10. 10. 5. 5-5 110. 19. 6-64 3-19 63-45 11.37 1.18 1.88 0.05 39 6-8 2.07 10 88. 13. 3-48 4-15 59-33 8.34 1.85 12-8 12. 11. 36. 32-8 134. 49. 13-50 13-30 60-20 8.60 1.00 3.41 0.52 53 6-3 1.53 08 90. 26. 52-20 51-48 60-72 10. 77 1.90 17-7 14. 13. 0. 48-4 159. 7.34-51 40-42 54-09 5.55 0.99 5.05 1.16 50 5-9 0.97 09 92. 34. 38-08 30-22 67-86 13.08 1.78 23-2 16.14.20. 1-0 183. 33. 40-99 42-85 5814 2.77 1.17 6.49 1.51 33 5-2 0.48 13 94. 14. 37-86 36-34 61-52 14.88 1.52 29-0 17.15. 0.55-8 195. 57. 21-49 19-17 6232 1.65 1.33 7.02 1.49 23 5-0 0.29 17 94. 48. 40-22 36-93 63-29 15.48 1.35 31-6 18.15.44. 5-8 208. 32. 39-93 35-25 64-68 0.78 1.52 7.44 1.33 15 4-8 0. 14 20 95. 9. 17-45 20-53 56-92 15.84 1.16 34-1 19.16.30.31-0 221. 23. 33-37 30-45 62-92 0.22 1.75 7.70 1.08 09 4-6 0.04 25 95. 15. 2-57 10-36 52-21 15.93 0.96 36-3 21.18. 15.47-2 248. 8.49-03 43-21 65-82 0.22 2.26 7.67 0.46 10 4-2 0.02 34 94. 37. 12-98 22-68 50-30 15.20 0.56 39-3 22. 19. 14. 20-6 262. 10. 25-73 13-13 (72-60) 0.81 2.52 7.37 0.21 16 3-8 0.10 38 93. 52. 44-73 48-12 (56-61) 14.37 0.38 39-9 Mar. 8. 7.10.28-8 93. 42. 32-49 43-39 49-10 13.04 1.46 0.29 0.45 09 1-6 2.83 32 86. 57. 47-74 47-85 59-89 6. 99 1.74 8-6 9. 8. 1. 33-5 106. 16. 11-23 18-58 5-2-65 12. 08 1.28 0.53 0. 19 15 1-4 2.82 27 87. 57. 24-02 24-0(i 59-90 8. 10 1.84 7-7 10. 8. 49. 36-7 118. 36. 20-94 21-97 58-97 10. 89 1.13 0.94 0.03 23 1-2 2.76 23 89. 1.58-24 38-86 79-38 9.29 1.89 7-4 11. 9.34.41-2 130.47.57-50 57-43 60-07 9.52 1.04 1.50 0.01 33 1-1 2.63 19 90. 7.45-93 43-58 62-35 10. 51 1. 90 7-7 12. 10.17.14-6 142. 55. 43-59 42-49 61-10 8.02 0.98 2.18 0. 12 43 1-0 2.46 15 91. 12. 58-18 5698 61-20 11.71 1.87 8-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. iSub. Sub. 60'W g \ 7.02 i. oo 4.00 0.76 30 20-8] a - 1.42 30 oo'-'oo K , 10.21 i. o % 6 23-7 1767. Feb. 22. The Moon's Observed Z.D. has been increased 2 Verniers. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [61] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 111 OJ ti C C/j <^ O iJ Excess of Observed Longitude. c 5* 11 w f Change for Os- 1 in Argument. Parallactic Inequality. Variation. Change for 0?-1 in Argument. Annual Equation. Evection. Change for OS- 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. Excess of Ob- 1 served Ecliptic 1 N.P.D. Effect of Mean Inclination. 1 Change for 0*1 in Argument. w w 1 767 d h m s o / tt " " K " * > e \ e > \\ o r rf ff e V i ilar. 15. 12. 19. 37'5 179. 32. 48-41 63-85 44-56 3.57 1.10 4.59 1.00 53 0-7 1.74 09 93. 57- 24-73 40-31 44-42 14.721.55 1 13-3 20. 16. 10. 6-9 243. 39. 52-66 69-45 53-21 0.06 2.10 7.60 1.22 12 0-3 0.42 14 94. 37. 49-31 60-13 49-18 15.34 0.60 27-5 22. 18. 4. 30-3 271. 10. 38-98 37-76 61-22 1.14 2.62 7.74 0.61 08 0-2 0.10 22 93. 5.45-08 64-62 40-46 13.59 0.27 33-5 24. 20. 0. 50-1 300. 5. 30-61 25-74 (64-87) 3.68 3.03 7.19 0.13 20 o-i 0.00 31 90. 44. 48-86 17-06 (91-80) 10.91 0.11 38-1 Vpril 3. 4. 5. 54'0 75. 15. 34-00 40-08 53-92 13.93 1.83 0.84 1.40 20 o-o 1.85 52 85. 59. 15-12 18-15 56-97 5.74 1.56 24-2 4. 5. 1.42-4 88. 38. 1-65 8-91 52-74 13.48 1.59 0.46 1.21 13 o-i 2. 12 50 86.49. 0-47 2-65 57-82 6.69 1.71 21-2 5. 5.54.54-8 101.34. 1-30 11-01 50-29 12.71 1.39 0.26 0.92 08 o-i 2.36 47 87. 47. 18-83 11-28 67-55 7.80 1.82 18-2 6. 6.44.45-8 114. 8.40-31 53-80 46-51 11.66 1.22 0.24 0.61 08 o-i 2.56 43 88. 50. 21-41 19-39 62-02 8.99 1.88 15-4 8. 8. 14. 40-9 138. 38. 33-47 42-13 51-34 8.96 1.01 0.72 0. 10 18 0-2 2.80 35 90. 59. 55-10 55-43 59-67 11.43 1.88 11-2 9. 8. 56. 0-1 150. 45. 55-74 56-73 59-01 7.45 0.97 1.21 0. 00 28 0-3 2.83 31 92. 1. 14-57 15-29 59-28 12.59 1.82 9-4 12. 10. 56. 25 187. 36. 41-82 38-19 63-03 3.08 1.14 3.35 0.49 52 0-5 2.60 18 94. 22. 54-46 54-94 59-52 15.24 1.43 7-4 14. 12. 25. 47 5 213. 6.56-71 55-31 61-40 0. 96 1.47 5.00 1.13 51 0-7 2.20 12 94. 59. 57-90 60-43 57-47 15.92 1.05 8-7 16. 14. 6. 18-9 239. 32. 56-43 54-54 61-89 0.04 1.94 6.45 1.50 34 0-9 1.67 08 94. 35. 54-25 60-61 53-64 15.46 0.64 12-2 18. 15. 59. 22-8 206. 55. 18-23 22-57 55-66 0.64 2.46 7.44 1.34 15 1-2 1.10 09 93. 9.31-58 41-21 50-37 13.81 0.30 17-7 19. 16. 57. 24-3 280. 56. 35-93 42-90 53-03 1.52 2.71 7.70 1.09 09 1-3 0.83 10 92. 6.50-89 59-18 51-71 12.62 0.18 20-9 20. 17. 54. 12-2 295. 11. 2-96 14-64 48-32 2.70 2.92 7.78 0.78 07 1-4 0.58 12 90. 55. 35-66 23-37 72-29 11.26 0.11 24-5 May 7. 7.32.43-4 158. 13. 51-67 55-22 56-45 6.88 0.97 0.51 0.21 14 4-2 2. 41 46 92. 49. 30-83 18-96 71-87 13.37 1.75 20-4 10. 9. 34. 10-0 , 195. 18. 43-24 4342 59-82 2.61 1.19 2.13 0. 11 42 4-8 2.81 34 94. 45. 55-94 56-48 59-46 15.61 1.30 12-8 12.11. 5.44-1 221. 14. 60 76 53-41 67-35 0. 68 1.55 3.70 0.64 54 5-4 2.80 25 94. 58. 58-83 52-75 66-08 15.89 0.89 9-0 14. 12. 54. 54-9 248. 24. 62-34 55-14 67-20 0.03 2.04 5.34 1.26 48 5-9 2.55 17 94. 7. 6-68 16-80 49-88 14.96 0.50 7-4 15.13.53. 1-5 202.23.17-15 10-96 66-19 0.28 2.30 6.07 1.46 39 6-1 2.36 14 93. 17. 46-84 52-36 54-48 14.05 0.33 7-6 June 1. 4. 3. 22-0 128. 43. 30-69 33"25 (57-44) 10.72 1.12 0.87 1.40 21 10-7 0.60 49 90. 36. 29-59 26-03 (63-56) 10.74 1.90 38-9 4. 6. 8. 15-2 165. 27. 36-27 40-00 56"27 6.29 0.98 0.24 0. 64 07 11-8 1.43 53 93. 32. 58-89 57-10 61-79 14.06 1.67 33-7 7. 8. 11. 8-2 20-2. 39. 45-96 60-40 45-56 2.17 1.25 1.17 0.01 27 12-7 2.24 48 95. 4.49-19 50-77 58-42 15.84 1.16 25-5 8. 8.56.56-1 215. 35. 44-55 50-29 54-26 1.17 1.42 1.78 0.03 37 13-0 2.46 45 95. 8. 1-20 2-58 58-62 15.93 0.96 22-4 9. 9.46.45-1 228. 53. 37-58 42-04 55-54 0.45 1.63 2.49 0.20 46 13-3 2.64 42 94. 54. 59-07 59-05 60-02 15.72 0.75 19-4 10. 10.40.56-4 212. 34. 53-70 52-66 61-04 0.08 1.87 3.29 0.47 52 13-6 2.76 37 94. 24. 56-06 56-25 59-81 15. 19 0.56 16-3 16. 16. 25. 8-7 329. 59. 25-77 19-15 66-62 5.56 3. 15 7.42 1.35 15 15-7 2.30 13 87.29.41-05 43-99 57-06 7.59 0.20 7-8 ^July 1. 4. 4.22-5 160. 34. 40-75 35-13 65-62 7.25 0. 97 0.69 1.33 17 20-8 0.25 43 93. 21. 44-46 36-89 67-57 13.79 1.70 399 Sub. 6o'-00 Sub. 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. s \ 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. \ \\ 1.00 Sub. 23-7 i. oo 4.00 1767. June 1. The Moon's Observed Z. D. has been decreased 2 Verniers. [62] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich "& & . SD ^j Ecliptic s ., f J> 'B i" . Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observe< Longitude. u .^ 1 Change for C in Argument Parallactic Inequality. Variation. Change for ( in ArgumenI Annual Equation. Erection. Change for ( in Argumen N.P.D. of Moon's Center from Observation. Seconds o Tabular Ecli N. P. D. C d. . ij X h W M Effect of Mean Inclination Change for C in Argument "ig f z 1767. " h " " o r H " " s ( vv s \\ 1 f ' O / ff " ff f V \ July 4. 6. 4.50-2 197. 18. 58-09 57-41 60-68 2.92 1.16 0.27 0.50 08 21-8 0.92 51 95. 6.56-58 55-51 61-07 15.75 1.22 38-7 6. 7.35.45-7 222. 52. 4-53 10-46 54-07 0.86 1.50 0.87 0.05 22 22-7 1.50 53 95. 8.58-81 62-62 56-19 15.82 0.82 35-2 10.11.23.40-5 278. 54. 45-76 45-63 60-13 0.74 2.50 3.64 0.62 53 24-0 2.51 44 91. 58. 15-33 22-31 53-02 12.41 0.17 22-9 11.12.26.11-2 293. 54. 25-08 29-33 55-75 1.68 2.74 4.53 0.96 53 24-3 2.68 40 90. 38. 16-77 13-18 63-59 10.96 0.11 19-4 12. 13. 23. 39-2 309. 4.51-84 48-16 63-68 2.96 2.95 5.34 1.25 48 24-9 2.78 36 89. 14. 19-10 23-92 55-18 9.44 0. 11 15-9 15. 15. 59. 34-0 354. 36. 60-24 58-35 61-89 7.98 3. 17 7.22 1.44 20 25-9 2.75 22 85. 43. 56-54 58-25 58-29 5.62 0.47 8-7 16.16.49. 4-0 9. 29. 26-83 17-44 69-39 9.68 3.08 7.58 1.24 12 26-2 2.63 18 85. 4.33-31 32-28 61-03 4.90 0.67 7-6 Aug. 1. 4.43. 2-0 204. 52. 43-60 40-59 63-01 2.45 1.21 0.28 0.98 09 31-2 0.14 40 95. 15. 15-37 11-82 63-55 15.91 1.08 38-4 2. 5.27.50-7 217. 26. 57-28 58-90 58-38 1.39 1.37 0.23 0.66 07 31-5 0.29 44 95. 14. 43-89 44-99 58-90 15.89 0.89 39-4 3. 6.16.22-7 230. 19. 58-85 65-55 53-30 0.60 1.58 0.35 0.36 10 31-7 0.49 47 94. 58. 34-27 41-84 52-43 15.58 0.69 39-9 4. 7. 9. 7-4 243. 36. 52-67 57-00 55-67 0.13 1.81 0.66 0.13 17 32-0 0.72 50 94. 26. 26-48 27-97 58-51 14.99 0.50 39-9 8.11. 4.41-4 301.26. 8-60 13-17 55-43 2.12 2.83 3.23 0.46 52 33-3 1.87 51 89. 56. 40-84 42-94 57-90 10.06 0.10 32-7 9.12. 1.29-2 316. 52. 46-33 50-08 56-25 3.51 3.01 4.06 0.78 54 33-6 2.13 49 88. 32. 35-07 29-74 65-33 8.54 0.14 29-2 9. 12. 3. 51-4 316. 54.14-26 18-82 55-44 3.51 3.01 4.06 0.78 54 33-6 2.13 49 88. 32. 15-56 22-23 53-33 8.54 0.14 29-2 10.12.58. 4-3 332.31. 5-61 6-34 59-27 5.14 3.13 4.88 1.10 51 33-8 2.37 47 87. 13.47-69 51-36 56-33 7.11 0.24 25-5 12. 14. 41. 45-7 3. 37. 24-82 26-67 58-15 8.64 3.14 6.36 1.50 35 346 2.71 39 85. 19. 15-54 18-16 57-38 5.08 0.61 18-2 14.16.26. 3-4 33. 40. 45-61 47-57 58-04 11.72 2.86 7.39 1.36 16 35-0 2.83 30 84. 45. 19-67 16-99 62-68 4.51 1.07 12-0 17.19.11.59-6 75. 46. 44-60 47-32 57-28 13.98 2.11 7.70 0.50 09 35-7 2.58 17 86. 17. 28-33 17-85 70-48 6.26 1.65 7-6 28. 2.40.49-5 200. 34. 35-93 29-74 66-19 3.22 1.13 1.21 1.46 27 38-2 0.19 19 95. 6.45-31 2843 76-88 15.87 1.13 25-2 29. 3.24. 6-8 212. 56. 45-04 45-22 59-82 2.02 1.27 0.72 1.35 18 38-3 0.07 23 95. 10. 40-25 33-43 66-82 15.92 0.93 28-3 31. 5. 0. 20-0 238. 20. 53-42 58-43 54-99 0.38 1.66 0.24 0.83 07 38-7 0.01 32 94.34. 9-50 12-33 57-17 15. 19 0.56 33-5 Sep. 2. 6.50.26-0 265. 7.43-93 44-25 59-68 0.11 2.17 0.46 0.24 13 39-0 0. 17 41 92. 58. 33-96 37-76 56-20 13.37 0.25 37-9 4. 8.46.53-7 293.45. 5-01 5-32 59-69 1.41 2.69 1.37 0.00 31 39-3 0.55 48 90. 34. 42-86 40-11 62-75 10.69 0. 10 39-8 6. 9.43.53-8 308.47. 5-13 7-24 57-89 2.61 2.90 2.08 0.09 41 39-6 0.80 50 89. 13. 22-23 21-25 60-98 9.18 0.11 39-8 6.10.39. 5-6 324. 13. 38-91 44-61 54-30 4.10 3. 06 2.83 0.30 49 39-7 1.08 52 87. 53. 23-56 25-73 57-83 7.72 0.19 38-SJ 7.11.32.42-9 339. 57. 39-00 43-77 55-23 5.78 3.16 3.64 0.61 53 39-8 1.36 53 86.41.44-63 44-82 59-81 6.41 0.33 37-2 9. 13. 20. 49-9 11.37.52-73 54-51 58-22 9.27 3.11 5.29 1.24 49 40-1 1.94 51 85. 7.33-26 37-53 55-73 4.73 0.75 31-E 11. 15. 10. 33-5 42. 18. 41-78 49-93 51-85 12.18 2.78 6.67 1.52 30 40-3 2.43 46 84. 59. 54-33 50-24 64-09 4.67 1.22 24-2 12.16. 7.37-9 56.58. 7-28 18-58 48-70 13.18 2.54 7.19 1.45 20 40-5 2.61 42 85. 26. 42-54 39-54 63-00 5. 20 1.43 20": Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sul // e < \ \\ \ \\ g \ \\ x s \ xx // g \ X \\ x 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23- SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [63] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation, Seconds of Tabular Longitude. Excess of Observed Longitude. -sf S Sf Change for OS'l in Argument. Parallactic Inequality. Variation. Change for OB- 1 in Argument. Annual Equation. Erection. Change for 0-"1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. Excess of Ob- served Ecliptic 1 N. P. D. Efiect of Mean Inclination. Change forOS'l in Argument. .SB; h W W 17G7. d h m ' o / // n // e ' \ \\ \ s ^ > g * o / a * f * > V Sep. 13.17. 5.13-9 71. 6.36-44 46-82 49-62 13.80 2.28 7.56 1.26 12 40-6 2.74 38 86. 9.35-03 30-44 64-59 6.03 1.61 17-5 27. 2.56.30-4 234. 8. 56-18 49-12 (67-06) 0.76 1.53 0.94 1.42 22 41-5 0.51 13 94. 32. 75-68 41-35 (94-33) 15.32 0.59 17-7 Oct. 4. 9.16.53-9 331. 49. 11-63 13-85 57'78 4.71 3.11 1.68 0.02 36 41-6 0.21 42 87.11. 7-46 12-73 54-73 6.93 0.26 38-0 6. 10. 9. 6-7 347.21. 56-00 62-42 53-58 6.43 3.17 2.38 0.18 45 41-6 0.39 46 86. 10. 15-27 15-87 59-40 5.80 0.43 39-4 7. 11. 55. 38-3 7.11.57.59-7 18. 57. 46-29 18. 59. 13'39 44-24 13-89 62-05 59-50 9.88 9.89 3.07 3.07 4.00 4.00 0.76 0.76 54 54 41-5 41-5 0.87 0.87 51 51 85. 2. 23-23 85. 2. 21-45 25-66 24-42 57-57 57-03 4.55 4.55 0.88 0.88 39-6 39-6 9. 13. 52. 15'5 49. 59. 31-25 34-35 56-90 12.60 2.69 5.62 1.35 45 41-4 1.45 53 85. 22. 19-63 19-89 59-74 4.96 1.36 36-3 10.14.51.46-8 64. 51. 11-27 21-07 50-20 13.46 2.44 6.31 1.49 36 41-4 1.74 52 86. 1.31-98 34-46 57-52 5.72 1.56 33-7 11. 15. 51. 0-6 79. 10. 8-10 21-34 46-76 13.92 2.18 6.95 1.50 25 41-3 2.02 50 86. 54. 44-82 44-17 60-65 6.74 1.71 30-9 12.16.48. 6-8 92. 55. 52-28 6431 47-97 13.99 1.91 7.39 1.37 16 41-2 2.27 48 87. 56. 57-72 57-98 59-74 7.93 1.83 27-8 13.17.41.44-2 100. 11. 11-40 21-18 50-22 13.68 1.67 7.67 1.13 10 41-1 2.48 45 89. 3.51-81 47-97 63-84 9.20 1.89 24-5 14. 18. 31. 23-0 119. 1.11-50 17-27 54-23 13.02 1.45 7.78 0.83 07 41-0 2.65 41 90.11.28-86 27-30 61-56 10.48 1.90 21-4 27. 3.33.35-3 269.28.62-17 56-78 65-39 0.06 2.11 0.75 1.36 18 39-6 0.94 09 92. 10. 24-73 34-77 49-96 12 74 0.19 11-8 31. 7. 7. 6-0 325. 29. 23-93 22-91 61-02 3.71 3.03 0.46 0.25 13 38-9 0.12 21 87.26. 8-08 8-95 59-13 7.34 0.22 24-0 Nov. 1. 7.57.25-2 340. 19. 40-24 42-96 57-28 5.35 3.14 0.84 0.06 21 38-7 0.03 25 86. 24. 35-56 34-67 60-89 6.17 0.36 27-5 3. 9.39.37-9 10. 53. 58-96 69-23 49-73 8.85 3. 13 2.03 0.08 41 38-4 0.03 34 85. 7. 10-86 9-96 60-90 4.67 0.78 34-1 5. 11. 30. 38-4 41. 54. 21-60 20-26 61-34 11.88 2.83 3.58 0.59 53 37-8 0.26 43 85. 12. 21-08 28-88 52-20 4.74 1.26 38-7 7. 13. 33. 27-3 72. 3.40-70 41-35 59-35 13.68 2.34 5.23 1.22 49 37-4 0.68 49 86. 37. 28-39 25-85 62-54 6.30 1.66 40-0 10. 16. 22. 58-6 113.39.57-36 63-46 53-90 13.46 1.58 7.1(5 1.46 21 36-8 1.53 53 89. 59. 14-80 7-57 67-23 10.09 1.90 36-6 12.17.56. 5-7 139. 8.27-97 30-93 57-04 11.62 1.21 7.74 0.99 08 36-4 2.09 50 92.10.49-11 46-41 62-70 12.57 1.82 32-0 13.18.38. 0-8 151.27.56-13 57-42 58-71 10.35 1.09 7.76 0.68 08 36-0 2.33 47 93. 6.39-63 42-98 56-65 13.64 1.72 29-5 14. 19. 18. 14-4 163. 39. 18-92 23-73 55-19 8.93 1.01 7.61 0.39 11 35-7 2.53 44 93. 53. 27-31 28-85 58-46 14.53 1. 59 26-8 27. 5. 3.34-0 320. 55. 47-51 49-49 58-02 2.80 2.93 0.30 1.01 09 32-4 1.14 08 87. 32. 59-13 57-19 61-94 7.62 0.20 9-8 28. 5.52.51-7 335.20. 8-71 8-18 60-53 4.32 3.08 0.22 0.70 07 32-1 0.87 10 86. 29. 53-62 52-74 60-88 6.43 0.33 12-0 Dec. 1. 8.21.56-5 19. 42. 46-46 52-36 54-10 9.48 3.10 1.05 0.02 25 31-0 0.22 18 84.51. 31-11 30-53 60-58 4.51 0.94 21-4 7. 14. 10. 4-0 107. 18. 48-45 48-01 60-44 13.79 1.73 5.62 1.34 45 28-9 0.31 44 89. 34. 57-27 48-80 68-47 9.59 1.90 38-8 9. 15. 48. 40-1 133. 38. 12-40 5-27 67-13 12. 32 1.31 6.91 1.51 26 28-3 0.75 50 91.55.46-61 42-38 64-23 12. 20 1.84 40-0 10. 16. 32. 24-2 146. 15.43-88 35-83 68-05 11.17 1.16 7.37 1.38 17 28-0 1.02 52 92. 56. 30-03 31-75 58-28 13.33 1.75 39-8 11.17.13.42-7 158. 38. 31-05 23-79 67-26 9.83 1.05 7.65 Sub. 1. 15 10 27-7 1.31 52 93. 47. 51-26 53-12 58-14 14.29 1.63 39-0 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. S v 10.21 Sub. i. oo Sub. 23-7 2.00 4. CO- 0. 76 30 [64] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for (H-l in Argument. Parallactic Inequality. Variation. Change for fle- 1 1 in Argument. Annual Equation. Evection. Change for OS- 1 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Eclipticl N. P. D. .0.3 => . ? "g? > Z II Effect of Mean Inclination. Change for OS- 1 in Argument. SQ Jl l z WW 1767. * * o / a n a s v > > s * s * " O ' '/ n e * s \% > Dec. 13.18.33.35-1 183. 3.30-74 26-19 64-55 6.84 0.97 7.72 0.54 09 27-0 1.88 51 94.56. 7-48 15-58 51-90 15.59 1.31 36-1 16. 20. 42. 53-3 220. 15. 36-83 35-08 61-75 2.58 1.19 6.54 0.06 32 25-8 2.57 43 94. 57. 16-40 13-22 63-18 15. 68 0.73 ! 29'0 27. 5. 28. 9-6 0. 14. 7-59 10-79 56-80 6.68 3.18 0.25 0.86 08 22-1 1.63 08 85. 5.42-51 39-31 63-20 4.92 0. 6C 7-7 28. 6.17.41-0 14. 54. 14-85 15-60 59-25 8.44 3.15 0.26 0.55 08 21-8 1.34 08 84. 46. 6 94 5-94 Gl'OO 4.54 0.88 8'7 30. 8. 3. 25-0 44. 9. 52-40 54-03 58-37 11.56 2.88 0.81 0.07 20 20-8 0.80 10 85. 7.54-86 56-17 58'69 4.91 1.33 12-8 1768. Jan. 1. 9. 59. 8-0 73. 1.43-03 37-19 65-84 13.54 2.41 1.98 0.07 40 20-1 0.34 16 86. 42. 32-30 35-31 56-99 6.60 1.70 i8-a 2.10.57.54-1 87. 9.41-09 33-36 67-73 13.95 2. 14 2.71 0.27 48 19-8 0. 18 19 87. 48. 55-23 (50-67 54-56 7.80 1.82 22-2 3. 11. 54. 40-9 101. 0.47-99 45-42 62-57 13.97 1.88 3.52 0.57 53 19-5 0.06 23 89. 1.51-83 59-00 52-83 9.11 1.88 25-5 3.11.57. 2-4 101. 2. 5-16 3-21 61-95 13.97 1.88 3. 52 0.57 53 19-5 0.06 23 89. 2. 3-65 6-04 57-61 9.11 1.88 2;3-5 4. 12. 50. 18-8 114.34. 7-47 8-73 58-74 13.61 1.64 4.36 0.91 53 19-1 0.01 28 90. 16. 49-09 46-96 62-13 10.47 1.90 28-7 5. 13. 39. 37'3 127. 46. 27-40 26-82 60-58 12.90 1.43 5. 17 1.21 49 18-8 0.01 32 91.28.54-14 48-66 65-48 11.78 1.87 31-6 6. 14. 25. 15-4 140. 39. 55-47 54-86 60-61 11.91 1.25 5.92 1.42 41 18 1 0.07 37 92.34.39-17 36-18 (!2-!)9 12.97 1.79 34-1 7. 15. 8. 0-2 153. 16. 62-28 54-25 68-03 10.69 1.12 6.58 1.51 32 17-8 0. 18 41 93.31.23-34 24-92 58-42 14.00 1.67 36-3 26. 5.59.33-1 39.48. 1-80 5-44 56'3(i 10.69 2.99 0.2-2 0.71 07 11-5 2.09 11 84. 59. 42-04 38-21 63-83 4.80 1.29 7-7 27. 6.55. 7'5 54. 11. 47-62 52-31 55-31 12.05 2.80 0.31 0.41 10 11-2 1.83 09 85. 33. 43-29 37-59 65-70 5.44 1.40 7-4 28. 7.52.22-8 68.21. 14-66 17-32 57-34 13. 09 2.57 0.60 0.16 16 10-9 1.55 08 86. 23. 22 87 22-61 60-26 6.35 1.66 7-9 29. 8.50. 1-8 82. 15. 53-36 51-71 61-65 13.75 2.31 1.05 0.02 25 10-6 1.2G 08 87.25. 5-47 7-65 57-82 7.49 1.79 9-0 30. 9.46.24-6 95. 55. 25-86 19-39 66-47 14.01 2.04 1.63 0.02 35 10-0 0. 9S 09 88. 34. 34-93 38-07 56-86 8.75 1.87 10-7 Feb. 1.11.30.19-7 122. 29. 11-54 10-72 60-82 13. 38 1.56 3. 12 0.41 51 9-5 0.49 13 90. 59. 35-66 43-50 52-16 11.40 1.88 15-4 4. 13. 44. 39-1 160. 38. 61-12 57-05 64-07 10.18 1.08 5.56 1.32 46 8-6 0.04 25 93. 57. 34-23 36-06 58-17 14.62 1.57 24-0 5. 14. 25. 5-6 173. 0.42-68 31-59 71-09 8.73 1.00 6.27 1.48 37 8-4 0. 00 29 94. 35. 41-48 47-43 5405 15.30 1.41 27-C 23. 4.49.47-8 49.30. 8'48 10-59 57-89 11.25 2. 93 0.42 1.17 12 3-8 2.76 23 85. 29. 6-60 3-78 62-82 5.27 1.45 15'C 24. 5.47.32-1 64. 3.26-47 27-71 58-76 12.49 2.71 0.25 0.88 08 3-6 2.65 19 86. 14. 59-94 56-91 63-03 6. 15 1.63 12-S 27. 8.36. 7-8 105. 8.30-46 28-24 62-22 14.00 1.94 0.78 0.07 20 3-0 2.02 10 89.30. 8-50 13-01 55-49 9.81 1.90 7i 28. 9.26.45-4 118. 12. 4-90 5-72 59-18 13.73 1.70 1.29 0.00 30 2-9 1.75 09 90.40.28-67 32-72 55-95 11.12 1.89 It Mar. 4. 13. 3. 12-9 180. 49. 12-43 13-23 59-20 8.17 0.98 5.11 1.18 50 1-9 0.44 14 94. 47. 25-11 31-83 53-28 15.65 1.28 13' 5. 13. 43. 51-9 193. 2.53-39 51-90 61-49 6.64 0.97 5.87 1.41 42 1-8 0.25 17 95. 2. 1-76 6-79 54-97 15.90 1.09 16-: 6. 14. 25. 46-9 205. 15. 41-45 30-66 70-79 5.12 1.01 6.54 1.51 32 1-7 0.11 21 95. 2.41-52 51-67 49-85 15. 90 0.90 18"! 9. 16. 45. 23-7 242. 19. 42-64 31-81 70-83 1. 36 1.38 7.72 1.04 09 1-2 0.03 35 93.43.21-94 32-98 48-96 14.35 0.38 27-i Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sul 60-00 7.02 2.00 4.00 0. 76 30 20-8 /. 42 30 60-00 10.2i 1.00 23 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [05] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. o _* SI 1 Change for OS- 1 1 in Argument. S&- 1! '- n> & Variation. Change for 0"1 1 in Argument. Annual Equation. Erection. Change for (M-l 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. S - -> s. . S^e M H: j; T3 . it la 9 u ?: <; aS L Effect of Mean Inclination. Change for 05-1 I in Argument. i d .la.' |;z WW 1768. d h m s Mar. 12. 19. 25. 58'2 O 1 II 281. 33. 43-71 ft 33-49 // 70-22 * 0.05 g * 0.19 \s 17 \ 0-9 * * 0.46 47 O 1 II 90. 41. 27'14 a 27-21 // 59-93 * * 10.90 V \V 0.10 V 35-6 2.08 7.34 22. 3.37.11-1 58. 24. 46-97 48-47 58-50 11.75 2.85 1.01 1.44 24 0-2 2.69 40 86. 8.15-72 18-16 57-56 5.86 1.58 28-0 23. 4.37.14-5 73. 5.59-03 60-81 58-22 12.87 2.62 0.57 1.29 15 0-1 2.79 35 87. 5. 19-68 12-77 66-91 6.95 1.74 24-5 24. 5.35.59-8 87. 16. 4-47 6-41 58-06 13.62 2.37 0.31 1.04 09 o-i 2.83 31 88.11. 8-13 11-21 56-92 8.20 1.84 21-2 25. 6.31.51-9 100. 56. 42-36 41-02 61-34 13.98 2.10 0.22 0.72 07 o-i 2.81 26 89.21. 17-31 19-25 58-06 9.54 1.90 18-0 26. 7.23.57-3 114.11.34-62 31-26 63-36 13.94 1.94 0.31 0.42 09 o-o 2.74 22 90. 31. 20-91 23-60 57-31 10.86 1.90 15-2 28. 8.57. 5-2 139. 43. 34-78 35-18 59-60 12.79 1.40 1.01 0.02 24 o-o 2.43 14 92.38. 5-26 7-79 57-47 13.26 1.76 10-7 April 1. 11.40.48-1 1.11.40.48-1 188.58. 2-27 188.58. 1-66 8-45 8-45 53-82 53-21 7.60 7.60 0.97 0.97 3.88 3.88 0.70 0.70 54 54 0-0 o-o 1.40 1.40 08 08 94. 55. 57-60 94. 55. 56-26 60-06 60-06 57-54 56-20 15.87 15.87 1. 13 1.13 7-5 7-5 2. 12. 24. 21-6 201. 12. 29-24 23-99 65-25 6.06 0.98 4.71 1.03 52 o-o 1. 12 09 94. 58. 39-01 29-75 69-26 15.92 0.94 7-9 3.13. 7.40-1 213.27.18-90 27-23 51-67 4.56 1. 03 5.45 1.30 47 o-i 0.85 10 94.47.11-37 12-45 58-92 15.71 0.75 8-9 4. 13. 53. 19-8 225.46. 5-79 14-25 51-54 3. 19 1.13 6.17 1.47 38 o-i 0.60 12 94. 22. 23-67 28-34 55-33 15.24 0.57 10-4 10.19. 3.25-9 303. 37. 44-26 27-31 76-95 0.59 2.44 7.51 0.30 13 0-5 0.05 36 88. 30. 22-67 16-35 66-32 8.56 0. 14 26-5 21. 4.22. 4-9 95. 30. 53-42 57-60 55-82 13.81 2.27 0.81 1.38 19 1-5 2.40 46 89. 8.34-81 33-31 61-50 9.14 1.89 34-1 22. 5. 17. 16-6 109. 19. 5-23 0-93 64-30 14.01 2.00 0.44 1. 18 12 1-6 2.59 43 90.21.34-62 33-34 61-28 10.52 1.90 31-3 24. 6.54.38-1 135.31.40-31 37-99 62-32 13.29 1.53 0.25 0.58 08 2-0 2.81 34 92.33.20-14 22-44 57-70 13.02 1.78 25-2 25. 7.38. 5-9 148. 7.23-38 21-66 61-72 12. 43 1.33 0.40 0.29 12 2-2 2.83 30 93. 26. 45-76 49-20 56-56 14.05 1.67 22-2 26. 8. 19. 25-7 160. 30. 22-79 20-49 62-30 11.31 1.18 0.75 0.09 19 2-3 2.80 25 94. 9.26-11 30-16 55-95 14.87 1.52 19-4 27. 8.59.40-9 172.45.41-61 40-26 61-35 9.98 1.06 1.25 0.00 29 2-5 2.71 21 94.40. 6-79 9-54 57-25 15.47 1.35 16-8 30.11. 3.40-3 209. 24. 49-54 49-26 60-28 5.48 1.00 3.41 0.52 53 2-9 2.15 Jl 94.52. 5-02 8-72 56-30 15.77 0.79 10-2 May 6. 16. 6. 39'0 285. 34. 54-71 44-53 70-18 0.03 2.02 7.47 1.32 14 4-2 0.54 13 89. 50. 14-92 19-82 55-10 10.21 0.10 9-6 8.17.48.44-0 312. 42. 36-40 38-77 57-63 0.87 2.54 7.77 0.75 07 4-6 0.17 19 87.31. 8-17 13-58 54-59 7.58 0.20 13-7 9. 18. 38. 6-6 326. 48. 23-80 22-93 60-87 1.86 2.78 7.65 0.44 10- 5-0 0.06 23 86.30.11-82 13-57 58"25 6.42 0.33 16-8 10. 19.27. 12-8 341.18.38-34 31-55 66-79 3.18 2.97 7.37 0. 20 16 5-2 0.01 28 85. 40. 56-51 47-94 68-57 5.47 0.50 19-9 11.20.17. 3-7 356. 13. 24-09 20-65 63-44 4.75 3.11 6.91 0.07 25 5-4 0.01 33 85. 7.29-97 19-49 70-48 4.81 0.71 23-7 21. 4. 48. 12-4 130. 21. 10-84 12-17 58-67 13.66 1.66 0.60 1.30 16 7'8 1.98 51 92. 22. 13-36 15-00 58-36 12. 69 1.81 38-4 22. 5.33.49-6 143. 20. 16-06 13-25 62-81 12.99 1.45 0.33 1.05 10 8-0 2.23 48 93. 20. 52-03 38-97 73-06 13.80 1.70 36-9 23. 6. 16. 32-5 155.59. 6-16 695 59-21 12.03 1.27 0.22 0.75 07 8-3 2.45 45 94. 7.36-22 39-02 57-20 14.69 1.56 349 24. 6.57.31-4 168. 23. 57-86 42-05 75-81 10.83 1. 13 0.30 0.44 09 8-5 2.63 42 94.41.46-98 62-87 44-11 15.35 1.39 32-7 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. Sub. Sub. 20-8 Sub. f V 1.42 Sub. 30 Sub. 60-00 Sub. 10. 21 Sub. i. ob Sub. 23-7 2.00 4.00 0.76 30 GREENWICH LUNAR REDUCTIONS. [66] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. occonds of Tabular Longitude. txcess of Observed Longitude. C" SJ Change for OS 1 1 1 in Argument. Parnllactic Inequality. Variation. Change for OB- 1 in Argument. B C s Evection. Change for 0-"1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. i Jl* C B-2 S S 1 Change for O*-] 1 in Argument. is f 1768. i " . May 25. 7.37.49-6 O t II 180. 39. 36-85 36-05 n 60-80 s ' 9.45 \ 1.03 \ \\ 0.55 e v 0. 18 15 1 9-1 ^ 3 Effect of Mean Inrlination. Change for Os- 1 1 in Argument. f* .2PH I* - -: 1708. d h m s Sep. 5.20.15.40-7 O t ff 108. 8.49-89 // 46-34 i/ 63-55 * v 13.76 ' 0.22 \v 16 39-7 g * 1.87 v\ 09 Q f ft 90.41. 10-77 it 6-45 // 64-32 s % 11.12 1.89 10-4 2.30 7.39 23. 9.39. 7-0 327.23.29-19 34-90 54-29 0.78 2.51 2.13 0. 10 42 41-4 1.42 53 86. 13. 25-04 18-80 6624 5.87 0.42 37-6 24.10.30.11-3 342.25. 8-05 11-20 56-85 1.74 2.75 2.88 0.33 50 41-5 1.71 52 85. 29. 56-65 51-87 64-78 5.06 0.61 39-1 25.11.22. 6-4 357. 51. 35-14 30-45 64-69 3.02 2.95 3.70 0.64 54 41-5 1.99 51 85. 4.44-89 43-09 61-80 4.58 0.84 39-9 26. 12. 18. 5-6 13. 35. 19-42 12-17 67-25 4.58 3.10 4.53 0.97 53 41-5 2.24 48 85. 1. 10-16 11-72 58-44 4.52 1.09 39-8 27. 13. 14. 15-0 29. 22. 18-14 11-37 66-77 6.30 3.17 5.34 1.26 48 41-6 2.46 45 85. 20. 17-24 18-13 59-11 4.89 1.33 38-8 28. 14. 13. 4-9 45. 2.22-40 12-45 69-95 8.08 3.16 6.07 1.45 39 41-6 2.64 42 86. 0.27-56 20-07 67-49 5.66 1.54 36-9 29. 15. 13. 54-0 60. 24. 53-60 63-11 50-49 9.78 3.08 6.71 1.52 29 41-6 2.76 37 86. 57. 15-32 14-87 60-45 6.74 1.71 34-5 Oct. 2.18.11.41-9 103. 57. 11-74 16-07 55-67 13.41 2.46 7.75 0.94 08 41-6 2.77 24 90. 33. 36-20 34-24 61-96 10.85 1.90 24-7 17. 4. 56. 44-3 280. 16. 47-40 51-78 55-62 0.55 1.59 0.28 0.96 08 40-8 0.00 29 89. 36. 12-65 7-83 64-82 9.87 0.10 13-9 19. 6. 37. 16-4 306. 36. 19-60 23-08 56-58 0.05 2. 09 0.35 0.35 11 40-6 0.10 38 87. 23. 52-96 46-94 66-02 7.36 0.22 19-7 21. 8.16. 3-0 334. 47. 50-33 48-76 61-57 1. 10 2.61 1.13 0.01 27 40-3 0.43 46 85. 39. 10-88 6-97 63-91 5.35 0.53 26-3 27. 13. 58. 56-7 68.29. 4-92 2-14 62-78 10.38 3.02 5.72 1.37 44 394 2.06 50 87. 44. 19-00 1464 64-36 7.54 1.80 40-0 29. 16. 2. 16 6 98.31.17'44 30-71 46-73 12.91 2.61 6.98 1.49 24 39-1 2.52 44 90.20. 3-00 0-77 62-23 10.45 1.90 38-3 Nov. 1.18.36.43-9 139.41.56-09 48-48 67-61 13.94 1.84 7.78 0. 79 07 38-6 2.83 31 93. 36. 51-15 55-18 55-97 14. 17 1.65 31-6 2.19.20.49-3 152. 36. 4-75 4-52 60-23 13.51 1.60 7.69 0.49 09 38-4 2.82 27 94. 19. 42-38 52-69 49-69 14.99 1.49 28-7 15. 4. 32. 15-2 301.54. 24-96 24-06 60-90 0.04 1.92 0.37 1.11 11 35-5 0.23 18 87. 32. 25-22 26-70 58-52 7.64 0.20 8-1 16. 5.20.21-0 315. 12. 9-10 11-62 57-48 0.13 2.19 0.24 0.82 07 35-3 0.10 22 86. 33. 13-61 10-83 62-78 6.54 0.31 9-2 18. 6.55.38-1 343. 1. 17-65 19-73 57-92 1.46 2.70 0.48 0.23 13 34-8 0.00 31 85. 8.18-06 13-11 64-95 4.92 0. 66 13-5 20. 8. 36. 11-5 12. 43. 53-86 56-57 57-29 4. 17 3.07 1.41 0.00 3-2 34-0 0.13 40 84. 52. 15-62 14-00 61-62 4.55 1.12 19-9 21. 9.31.13-5 28. 13. 51-45 55-16 56-29 5.85 3. 16 2.08 0.09 41 33-8 0.29 44 85. 16. 37-38 37-97 59-41 4.96 1.35 23-7 25. 13. 43. 58-6 91. 5. 20-13 20-72 59-41 12.25 2.76 5.34 1.25 48 32-7 1.29 52 89. 47. 61-68 55-67 66-01 9.85 1.90 36-9 Dec. 2. 19. 23. 29-2 185.49. 3-66 4-46 59-20 11.28 1.17 7.58 0.36 11 30-4 2.80 35 95. 14. 28-71 34-68 54-03 15.93 0.98 35-4 16. 5.39. 3-8 352. 18. 53-84 58-68 55-16 1.88 2.78 0.23 0.67 07 25-8 0.36 15 84. 48. 16-20 10-91 65-29 4.61 0.62 7-5 18. 7.18.54-4 21.27.57-84 62-07 55-77 4.78 3.11 0.63 0.13 17 25-1 0.07 23 84. 58. 44-73 38-59 66-14 4.77 1.28 9-4 20. 9.12.56-1 51. 52. 34-56 38-72 55-84 8.29 3.16 1.73 0. 03 36 24-4 0.01 32 86. 30. 29-40 29-31 6009 6.41 1.67 14-3 21. 10. 15. 20-9 67. 20. 37-06 45-05 52-01 9.98 3.06 2.44 0.18 46 23-8 0. 06 37 87. 41. 49-80 46-57 63-23 7.70 1.81 17-7 22. 11. 19. 8-6 82. 47. 34-79 38-91 55-88 11.46 2.89 3.23 0.45 52 23-5 0.17 41 89. 3. 6-08 5-23 60-85 9.17 1.89 21-4 23.12.24. 5-7 98. 4.41-03 42-53 58-50 12.66 2.68 4.06 0.78 54 23-1 0.34 45 90. 27. 39-84 39-95 59-89 10.69 1.90 25-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 6o'-00 7.02 2. 00 4.00 6.76 30 20-8 K \ 1.42 30 60-00 g \ 10.21 i.oo 23-7 [K]2 [68] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich 'i . i) . Ecliptic t*. O, .4.2 - Mean Solar Time of Longitude of 111 *O . S II .s. 1J ft o O ** i 3.1 c o 11 C N.P. D. of |io O a. - g| || |o Observation Moon's Center 1 1 f S J f r^ i i g i^S S5 .9- - !& ~ 1" c S>> II Q ag, Moon's Center =3 >- *I O _ TC 3 T "! Is -| - ^ of from i. * a g h S i> *< < pg" w K < from if Si ^ o 5 ?, J5 II & f* Moon's Limb. Observation. OnJ OHJ t ~^ 5.s o.S o.S Observation. 'H W 1 S.s ww 1768. * o / " It rr ,: -. \ vv * > \\ \ e v " Q f ft " " g N > < Dec. 26. 15. 6. 59'7 141.30. 1-33 5-08 56-25 13. 98 1.90 6.36 1.50 35 22-1 1.08 52 93. 57. 45-68 46-50 59-18 14.50 1.60 34-7 29. 17. 19. 17-0 180. 54. 32-03 30-72 61 -3 lj 12. 00 1.26 7.67 1.12 10 20-8 1.94 51 95.17.11-85 17-33 54-52 15.93 1.03 39-4 1769. Jan. 1.19.28.25-1 217. 53. 44-95 59-18 45-77 7.92 0.98 7.44 0.25 14 19-8 2.60 42 94. 20. 47-66 51-63 56-03 '14. 90 0.48 39-4 15. 6. 7. 5-1 31. 19. 29-33 31-86 57-47 5.43 3.15 0.26 0.52 08 14-9 0.75 11 85. 22. 50-94 39-49 71-45 5.22 1.44 8-2 16. 7. 2.41-5 46. 5. 7-93 10-46 57-47 7.20 3.18 0.46 0.24 13 14-6 0.51 13 86. 9.57-81 53-97 63-84 6.10 1.63 7-5 17. 8. 1.37-7 60. 58. 13-31 16-07 57-24 8.95 3.13 0.84 0.06 21 14-2 0.31 16 87. 12. 60-88 56-02 64-86 7.27 1.77 7-6 18. 9. 2.49-2 75.55. 9-40 10-71 5869 10.573.00 1.37 0.00 31 13-9 0. 15 20 88. 27. 35-31 33-09 62-22 8.63 1.87 8-5 20.11. 3.53-0 105.39. 2-10 3-98 58-12 13.02 2.58 2.83 0.30 49 13-0 0.00 29 91. 9. 0-77 1-37 59-40 11.59 1.87 12-4 22. 12. 54. 27-6 134.32.12-17 15-77 56-40 14.00 2.06 4.47 0.94 53 12-4 0.09 38 93.28. 8-34 6-34 63-00 14.11 1.60 18-2 27. 16. 38. 25-0 200.32. 6-61 1-28 65-33 10.29 1.08 7.56 1.26 13 10-9 1.15 52 94. 56. 21-93 32-43 49-50 15.62 0.71 33-3 29.18. 7.53-0 225. 6.46-98 50-31 56-67 7.34 0.97 7.76 0.67 07 10-0 1.73 62 93. 49. 36-36 33-62 62-74 14.34 0. 3S 37-3 30. 18. 55. 15-3 237. 19. 53-30 60-25 53-05 5.80 0.99 7.61 0.38 11 9-7 2.00 51 92. 59. 36-11 38-51 57-60 13.41 0.25 38-7 Feb. 22.13.48.38-1 182.20. 6-35 3-36 6-2-99 12.27 1.30 5.62 1.34 45 3-8 0.03 34 95. 3. 6-33 1-42 64-91 15.93 0.90 14-6 23.14.32. 3-8 195. 6.63-45 57-36 66-09 11.12 1.16 6.31 1.49 36 3-6 0.11 39 94. 53. 33-07 42-71 50-36 15.74 0.77 17-0 26. 16. 47. 48-5 232.15.11-60 10-48 61-12 6.75 0.97 7.65 1.15 10 3-0 0.67 49 93. 7.52-87 58-60 54-27 13.70 0.29 25-8 j 28.18.25.41-2 256. 44. 58'08 47-37 70-71 3.79 1.08 7.71 0.53 09 2-5 1.22 52 91.11.26-35 31-73 54-62 11.50 0.12 31-1 Mar. 16. 7.45. 8-1 109.61.57-91 68-67 49-24 12.80 2.64 0.46 0.25 13 0-5 1.70 08 91.48. 2-06 6-67 55-39 12.27 1.84 15-9 21.11.41.47-3 177. 12. 17 71 26-09 51-62 12.87 1.42 3.58 0.58 53 0-2 0.40 15 94. 59. 55-49 4537 70-12 15.93 1.02 7-5 22.12.27. 8-5 190. 3. 6-01 14-72 51-29 11.86 1.24 4.42 0.91 53 0-2 0.22 18 94. 53. 20-49 18-61 61-88 15.82 0.82 7-5 . 23. 13. 10. 53-3 202. 40. 57-95 66-17 51-78 10. 62 1.11 5.23 1.21 49 0-1 0.09 22 94. 32. 26-91 26-74 60-17 15.43 0.63 8-1 27.16.18.20-1 261. 52. 25-28 13-47 71-81 4.68 1.03 7.51 1.28 13 o-o 0. 14 40 91. 20. 37-40 39-75 57-65 11.83 0.14 15-0 April 11. 4.42.14-2 90. 55. 45-60 49-58 56-02 10.80 2.98 0.55 1.27 14 0-5 2.80 25 90. 25. 45-81 47-16 58-65 10.56 1.90 34-7 12. 5.40.26-3 105. 27. 59-73 66-66 53-07 12.14 2.78 0.30 1.00 09 0-5 2.72 21 91.41.39-75 31-58 68-17 11.99 1.86 31-8 14. 7.25. 1-4 133.22.24-24 27-42 56-82 13.78 2.29 0.33 0.39 10 07 2.39 14 93. 44. 36-65 39-70 56-95 14.33 1.62 25-5 16. 8.56.40-9 159. 59. 35-52 46-79 48-73 13.86 1.77 1.05 0.02 25 1-0 1.90 09 94. 53. 11-29 11-93 59-30 15.68 1.26 19-2 19.11. 5.53-9 198. 16. 32-96 44-04 48-92 11.42 1. 19 3. 12 0.41 51 1-3 1.07 09 94.41. 7-12 4-98 62-14 15.55 0.68 11-5 22. 13. 24. 54-6 235. 19. 17-20 32-36 44-84 7.13 0.97 5.56 1.33 46 1-6 0. 35 15 92. 32. 10-51 9-73 60-78 13. 22 0.23 7-7 23. 14. 13. 22-0 247.31.25-75 36-03 49-72 5.60 0. 99 6.27 1.49 37 1-9 0. 18 19 91.32. 8-67 10-36 58-31 12. 11 0.15 7-4 24.15. 2.4-2-7 259. 43. 33 27 43-11 50-16 4. 13 I. 00 6.87 1.51 26 2-0 0.07 23 90. 27. 37-07 45-68 51-39 10.92 0. 11 7'6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. a S \ \ \\ v \\ ff \ ^ v K \ tl g \ i \\ v 60-00 7.02 2.00 4.00 0.76 30 20-8 I 1.42 30 60-00 10.211.00 23-7 i SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [69] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 1 Seconds of Tabular Longitude. Excess of Observed Longitude. U & 11 af Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os- 1 1 in Argument. aj e 'a C 3 $ Evection. Change for Os- 1 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation, Seconds of Tabular Ecliptic 1 N.P. D. 1 U S -a C a. . s^ U dH li U > F~* t3 Effect of Mean Inclination. Change for 08-1 in Argument. \* B^ ~'-~ s g z W W 1709. d " "' ' o / // it tt g v V \ \\ g I g \\ o / " n If g * \ \\ > April 25. 15. 52. 2-4 271.59.12-97 20-34 52-63 2.79 1.17 7.34 1.39 17 2-2 0.01 28 89. 21. 32-63 35-68 56-95 9.69 0.10 8-4 26.16.41. 1-0 284. 22. 57-49 55-33 62-16 1.66 1.33 7.64 1.16 10 2-3 0.01 32 88. 16. 19-98 24-19 55-79 8.47 0.14 9-6 28. 18. 16. 33-1 309. 54. 18-84 14-76 64-08 0.23 1.74 7.72 0.55 08 2-6 0.18 41 86. 20. 41-61 28-33 73-28 6.29 0.35 13-5 29.19. 3.28-1 323. 12. 47-30 40-72 66-58 0.03 1.99 7.49 0.28 13 2-8 0.34 45 85. 35. 77-69 58-31 79-38 5.43 0.51 16-1 30. 19. 50. 35-9 336. 59. 27-54 21-17 66-37 0.21 2.26 7.09 0. 10 22 2-9 0.56 48 85. 4.72-50 55-96 76-54 4.82 0.70 19-2 May 14. 7.39. 3-3 168. 57. 41-33 45-01 56-32 13.71 1.68 0.44 0.27 12 5-9 2.68 20 95. 11. 34-37 36-74 57-63 15.89 1.11 32-2 15. 8.21.51-1 181. 44. 45-07 45-09 59-98 13.07 1.47 0.81 0.07 20 6-1 2.53 16 95. 10. 37-02 21-35 75-67 15.90 0.90 29-5 16. 9. 4.37-7 194. 18.49-01 52-55 56-46 12.13 1.28 1.33 0.00 30 6-3 2.34 13 94.54. 5-82 6-89 58-93 15.63 0.71 26-5 20.12. 9.47-8 243. 29. 29-47 33-61 55-86 6.55 0.97 4.36 0.89 54 7-5 1.27 08 91. 50. 16-71 16-34 60-37 12.36 0.16 15-4 22. 13. 48. 26-4 267. 57. 40-88 43-60 57-28 3.60 1.10 5.92 1.42 42 8-0 0.73 11 89. 37. 49-06 48-91 60-15 9.95 0. 10 11-0 24. 15. 25. 43-2 292. 46. 22-64 20-61 62-03 1.29 1.39 7.12 1.47 22 8-8 0.30 16 87. 27. 15-00 20-30 54-64 7.56 0.20 8-3 25. 16. 12.44-9 305. 26. 27-02 21-67 65-35 0.53 1.60 7.51 1.30 14 9-1 0.15 20 86.30.10-18 13-60 56-58 6.51 0.32 7-6 27. 17. 44. 32-4 331. 38. 21-86 15-32 66-54 0.05 2.09 7.76 0.72 07 9-6 0.00 29 85. 7. 9-18 7-02 62-16 4.96 0.64 7-9 28. 18. 30. 43-3 345. 18. 54-17 35-37 78-80 0.39 2.36 7.63 0.42 10 9-9 0.02 33 84. 46. 72-07 59-82 72-25 4.58 0.85 9-1 June 11. 6. 19.44-9 177. 25. 56-27 54-95 61-32 13.50 1.60 0.22 0.72 07 14-2 2.77 37 95.17. 7-19 7-71 59-48 15.92 0.95 39-7 12. 7. 2.53-2 190. 11. 3-46 8-67 54-79 12.74 1.39 0.31 0.41 10 14-5 2.83 32 95. 5. 4-64 6-32 58-32 15.71 0.75 38-9 18. 11. 42. 36-5 263. 55. 54-47 42-47 72-00 4.48 1.04 3.88 0.71 54 16'7 2.03 10 90. 0. 1-09 9-95 51-14 10.21 0.10 25-8 18.11.44.49-6 263. 56. 57-64 48-54 69-10 4.47 1.04 3.88 0.71 54 16-7 2.03 10 89.59.55-13 63-79 51-34 10. 21 0.10 25-8 21. 14. 10. 50-0 301.28.23-28 11-46 71-82 0.97 1.47 6.22 1.48 37 17-6 1.20 08 86. 46. 17-77 26-48 51-29 6.71 0.29 17-2 July 6. 2.40.20-2 144. 25. 46-09 47-91 58-18 13.83 2.25 1.93 1.41 39 22-7 1.25 52 94. 34. 48-57 52-76 55-81 15.24 1.43 28-5 8. 4.14.13-6 172. 6.59-51 60-94 58-57 13.81 1.74 0.78 1.38 19 23-3 1.83 52 95. 15. 0-38 2-54 57-84 15.93 1.01 34-3 12. 7. 12. 38-6 222. 55. 5-50 10-93 54-57 9.92 1.06 0.42 0.29 12 24-9 2.69 40 93.26. 9-40 11-03 58-37 13.87 0.31 39-9 13. 7. 59. 38-7 235. 8. 14-47 15-30 59-17 8.45 0.99 0.78 0.08 19 25-2 2.79 36 92.31. 2-02 3-48 58-54 12.86 0.20 40-0 14, 8.48. 3-4 247.20. 9-53 5-64 63-89 6.92 0.97 1.29 0.00 29 25-6 2.83 31 91.29. 6-85 12-16 54-69 11. 72 0.13 39-5 15. 9.37.30-3 259. 35. 20-39 7-14 73-25 5.39 1.00 1.93 0.06 39 25-9 2. 82 26 90. 23. 0-14 4-55 55-59 10.50 0.10 38-7 16. 10.27.20-1 271. 56. 73-26 54-47 78-79 3.94 1.07 2.66 0.25 48 26-2 2.74 22 89. 15. 19-54 23-92 55-6-2 9.26 0. 11 37-2 17.11. 16.48-6 284. 28. 26-94 11-65 75-29 2.62 1.19 3.46 0.54 53 26-5 2.61 18 88. 9. 7-82 8-86 58-96 8 05 0.17 35-4 18.12. 5.21-9 297. 10. 72-58 56-39 76-19 1.52 1.35 4.30 0.87 54 27-1 2.44 15 87. 7.22-60 31-02 51-58 6.93 0.26 33-1 19. 12. 54. 54-0 310. 7.50-98 35-11 75-87 0.69 1.55 5.11 1.18 50 27-4 2.22 12 86. 13. 40-48 41-81 58-67 5.97 0.40 30-4 Sub. 60-00 Sub. ff \ 7.02 Sub. Sub. Sub. 0*. 76 Sub. 30 Sub. 20-8 Sub. e \ 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. 1.00 Sub. 23-7 2.00 4.00 . [70] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich t Ecliptic f J,.u i Mean Solar Time Longitude c "S f fc T2 O *, o ta o c ! C o n ~ - *re o a o c' - (LI N.P. 0. o ;s . O a. s'So "3 c | .Sej of of a .s 5 " a * ta,"^ ~ w " 'S B Moon's Limb. Observation. s J u.S G.2 6.2 Observation. P 1 1 5.S w 1769. <" " m ' / " II /I s " V VV \ \\ I " \ K " O t It " " * > > \ July 20.13.41.11-8 323. 16. 60-02 40-71 79-31 0.16 1.78 5.87 1.41 42 27-7 1.97 10 85.31. 0-13 0-32 59-81 5.20 0.57 27-5 24. 16. 48. 36-6 18. 17. 24-35 20-52 63-83 1.91 2.79 7.72 1.05 09 28-9 0.86 10 85. IS. 18-77 6-88 71-89 5.08 1.40 14-8 26. 18. 35. 59-7 47.18.11-98 10-87 61-11 4.83 3.12 7.64 0.43 10 29-8 0.39 15 86. 57. 6-49 14-48 52-01 6.96 1.74 9-8 27. 19. 34. 58-0 62.10.16-14 15-31 60-83 6.57 3. 18 7.34 0.19 17 30-1 0.21 18 88. 8. 1-44 1-84 59- GO 8.29 1.85 8-3 Aug. 8. 5. 6.57-8 218. 3.36-35 40-30 56-05 10.76 1.12 0.33 1.05 09 33-3 1.61 52 93. 35. 34-06 40-34 5372 14.13 0.34 30-2 1Q. 6.41.42-0 242. 37. 49-08 53-06 56-02 7.87 0.98 0.30 0.43 09 34-1 2.16 49 91. 44. 23-54 32-67 50-87 12.03 0.15 35-0 12. 8.20.18-3 267. 7.62-53 55-68 66-85 4.82 1.02 0.97 0.03 24 34-6 2.58 43 89.34.51-57 52-01 59-56 9.60 0. 10 38-4 14. 9.58.57-8 292. 13. 68-48 56-10 72-38 2.18 1.24 2.23 0.13 44 35-0 2.81 34 87. 27. 37-88 34-81 63-07 7.24 0.23 39-9 15. 10. 47. 9-1 305. 9.35-75 21-91 73-84 1.17 1.42 3.00 0.38 51 35-3 2.83 30 86. 32. 25-00 20-77 6423 6.21 0.36 39-9 16. 11. 34. 26-6 318. 22. 24-93 11-32 73-61 0.46 1.63 3.82 0.69 54 35-5 2.80 25 85.47. 0-G1 3-58 57-03 5.38 0.52 39-3 18. 13. 9. 58-0 345. 40. 77-46 50-76 86-70 0.08 2.13 5.45 1.30 47 36-2 2.57 17 84.58.33-16 29-20 63-96 4.52 0.92 36-1 19. 13. 57. 21-4 359.42.64-88 37-04 87-84 0.47 2.39 6. 17 1.47 38 36-4 2.38 14 84. 59. 50-72 48-58 62-14 4.57 1.14 33-7 21. 15. 37. 38-7 28. 20. 75-87 49-08 86-79 2.39 2.87 7.28 1.41 18 36-8 1.90 09 85. 57. 20-43 13-84 66-59 5.70 1.55 27-5 22. 16. 31. 52-6 42. 52. 59-88 44-58 75-30 3.83 3.04 7.61 1.20 11 37-0 1.62 08 86. 50. 53-21 51-61 61-60 6.72 1.71 24-0 23. 17. 29. 4-2 57. 30. 54-33 46-69 67-64 5.49 3.15 7.76 0.90 08 37-2 1.33 08 87. 57. 20-58 16-26 64-32 7.99 1.83 20-4 ; 24. 18. 28. 30-9 72. 13. 22-45 14-06 68-39 7.26 3.18 7.73 0.58 08 37-4 1.05 08 89. 12. 11-51 9-07 62-44 9.41 1.89 17-0 | Sep. 3. 2. 13. 59-2 199. 56. 52-73 39-08 73-65 12.62 1.37 1.98 1.40 39 39-3 0.19 41 94. 21. 56-73 49-40 67-33 15.17 0.55 11-8 8. 6. 12. 14-0 262. 4.57-31 53-77 63-54 5.75 0.99 0.25 0.59 08 40-0 1.39 53 89.47.54-41 57-77 56-64 9.96 0.10 25-2 10. 7.50.19-0 286. 50. 8-72 2-16 66-56 2.92 1.16 0.75 0.09 19 40-3 1.97 51 87.41. 61-81 59-50 62-31 7.58 0.20 30-6 11. 8.38.31-9 299. 33. 30-78 24-71 66-07 1.77 1.31 1.25 0.00 28 40-4 2.22 49 86. 46. 10-45 4-84 65-61 6.52 0. 31 33-3 12. 9.26. 3-3 312. 36. 31-72 29-00 62-72 0.86 1.50 1.88 0.05 39 40-5 2.44 46 85. 58. 59-41 54-24 65-17 5.63 0.46 35-6 15. 11. 48. 16-4 354. 0.49-32 40-39 68-93 0. 18 2.23 4.24 0.85 54 40-8 2.82 33 85. 0.39-63 35-69 63-94 4.52 1.08 39-8 15.11.50.28-1 354. 1.65-11 56-34 68-77 0.18 2.23 4.24 0.85 54 40-8 2.82 33 85. 0.40-04 36-20 63-84 4.52 1.08 39-8 16. 12. 39. 59-5 8. 30. 58-50 41-49 77-01 0.72 2.49 5.05 1. 16 50 40-9 2.83 29 85. 16. 46-40 46-68 59-72 4.82 1.30 39-9 17. 13.31.49-3 23. 13. 31-87 6'36 85-51 1.65 2.74 5.82 1.39 43 41-0 2.78 24 85.51.55-04 49-44 65-60 5.48 1.50 39-3 18. 14. 20. 26-4 38. 3.60-32 39-92 80-40 2.91 2.94 6.49 1.51 33 41-1 2.68 20 86. 43. 59-28 56-44 62-84 6.46 1.68 37-9 19.15.23.52-8 52. 57. 22-43 0-25 82-18 4.45 3.09 7.06 1.48 23 41-2 2.52 16 87.49.47-15 39-84 67-31 7.70 1.81 35-6 ' 20. 16. 23. 24-2 67.48.51-57 28-01 83-56 6.16 3.17 7.47 1.32 14 41-3 2.32 13 89. 4.21-21 14-80 66-41 9.11 1.88 32-9 21. 17. 23. 34-7 82. 34. 41-07 31-46 09-61 7.95 3.17 7.71 1.06 09 41-3 2.08 11 90.22.14-11 14-69 59-42 10.58 1.90 29-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub, Sub. Sub. Ij K \ \ \\ \ \\ S v \\ . g t \\ ff \ \ \\ ^ 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1. 00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [71] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. >, u .^ !! s 1" Change for OS- 1 in Argument. Parallactic Inequality. Variation. Change for Os-1 in Argument. Annual Equation. Evection. Change for OS'l in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. ^0 = !?* 3 Effect of Mean Inclination. Change for 0'l 1 in Argument. | .P* f z ; WW 1769. d h '" ' o i // a // g v V V> \ \v s " \\ \ v 1 II a n e v \ \\ t Sep. 23. 19. 19. 31-4 111. 41.60-54 59-64 60-90 11. 19 2.93 7.65 0.44 10 41-4 1.54 08 92. 46. 61-16 51-83 59-33 13.33 1.75 22-7 24. 20. 13. 13-9 126. 1. 8-97 7-65 61-32 12.44 2.73 7.37 0.20 16 41-5 1.25 08 93.44. 8-97 11-21 57-76 14.42 1.61 19-4 Oct. 8. 6.29.42-1 294. 0.30-76 23-21 67-55 2.46 1.21 0.29 0.45 09 41-4 0.90 51 86. 54. 58-45 56-03 62-42 6.85 0.27 17-2 9. 7. 10. 37-3 306. 41. 50-58 45-53 65-05 1.40 1.37 0.53 0. 19 15 41-4 1.18 52 86. 5.53-76 47-50 66-26 5.91 0.41 19-9 10. 8. 3. 4-3 319. 44. 34-51 27-81 66-70 0.60 1.58 0.94 0.03 23 41-4 1.47 53 85. 27. 27-79 21-34 66-45 5.17 0.58 22-9 11. 8.49.34-2 333. 12. 45-80 40-19 65-61 0.14 1.81 1.50 0.01 33 41-2 1.76 52 85. 2.37-00 34-86 62-14 4.68 0.78 26-3 12. 9.36.51-0 347. 8.44-12 45-25 58-87 0.04 2.07 2.18 0. 12 43 41-2 2.03 50 94. 54. 19-57 17-39 62-18 4.50 0.99 29-5 13. 10. 25. 47-4 1. 32. 45-82 38-58 67-24 0.33 2.33 2.94 0.36 50 41-1 2.28 48 85. 4.45-45 43-81 61-64 4.66 1.21 32-7 15.12. 14.16-1 31. 30. 66-26 51-19 75-07 2.08 2.82 4.59 1.00 53 41-0 2.66 41 96. 24. 18-78 19-47 59-31 6.09 1.62 37-7 16. 13. 12. 24-1 46. 50. 35-59 20-74 74-85 3.46 3.01 5.40 1.28 47 40-9 2.77 37 87. 29. 51-31 47-03 64-28 7.29 1.77 39-2 19. 16. 16. 32-4 92.31.64-64 58-76 65-88 8.61 3.15 7.28 1.42 19 40-5 2.76 23 91. 28. 20-25 20-87 59-38 11.71 1.87 38-9 21.18.10. 0-6 121. 45. 60-30 51-72 68-58 11.70 2.86 7.76 0.91 08 40-3 2.47 15 93. 41. 57-75 64-41 53-34 14.22 1.64 34-9 Nov. 5. 5. 9.40-0 301. 29. 32-68 20-03 72-65 2.03 1.27 0.26 0.93 08 37-8 0. 13 39 86. 12. 48-60 44-75 63-85 6.17 0.37 8-1 7. 6.40.14-5 327. 2.35-99 27-25 68-74 0.38 1.66 0.38 0.32 11 37-4 0.47 47 85. 1. 18-38 19-66 58-72 4.82 0. 70 11-0 8. 7.25.45-5 340. 24. 16-92 7-29 69-63 0. 06 1.90 0.72 0. 10 18 37-2 0. 70 49 84. 46. 50-34 47-91 62-43 4.53 0.91 13-1 10. 9. 1.49-5 8.37. 14-84 3-03 71-81 0.54 2.43 1.83 0.04 38 36-8 1.25 52 85. 11. 29-71 34-67 55-04 4.93 1.34 19-2 11. 9.54.254 23. 29. 57-09 42-73 74-36 1.38 2.68 2.55 0.22 47 36-4 1.55 52 85.53.21-61 22-70 58'91 5.66 1.54 22-7 14. 12. 57. 54-0 70. 14. 55 12 44-20 70-92 5.74 3. 16 5.00 1.15 50 357 2.35 47 89.34. 8-65 8-42 60-23 9.64 1.90 33-5 15. 14. 2. 5-1 S5.57.4T10 34-12 66-98 7.51 3. 17 5.77 1.39 43 35-5 2.55 44 91. 0.40-71 36-90 63-81 11.21 1.89 36-3 16.15. 4. 17-7 101.26. 4-20 4 36 59-90 9.26 3.11 6.45 1.51 34 35-3 2.70 40 92.21.21-70 25-47 56-23 12.69 1.81 38-3 17.16. 2.45-8 116.32. 32-31 28-97 63-34 10. 85 2.97 7.02 1.49 23 35-0 2.80 35 93. 30. 24-67 25-82 58-85 13.95 1.68 39-5 18. 16. 50. 53-8 131. 12. 46-04 46-73 59-31 12.18 2.78 7.47 1.33 15 34-5 2.83 31 94.23.26-13 31-62 54-51 14.93 1.51 40-0 Dec. 7- 6. 50. 29-2 1.51.58-54 54-06 64-48 0.22 2.26 0.51 0.21 14 28-9 0. 16 40 84. 55. 33-12 32-69 60-43 4.75 1.26 7-8 8. 7.39.31-2 16. 0.48-05 40-80 67-25 0.81 2.52 0.90 0.04 22 28-6 0.32 44 85. 27. 22-89 23-15 59-74 5.32 1.47 8-9 9. 8.32.22-8 30. 40. 60-77 51-70 69-07 1.78 2.76 1.46 0.00 33 28-3 0.52 48 86. 17. 47-29 50-51 56-78 6.24 1.65 10-7 12. 11. 36. 5-9 77. 19. 44-72 39-34 65-38 6.40 3.17 3.76 0.65 54 27-0 1.34 53 90. 13.28-93 32-13 56-80 10.49 1.90 20-2 12. 11. 38. 37-4 77. 21. 14-22 15-S9 58-33 6.40 3.17 3.76 0.65 54 27-0 1. 34 53 90. 13.38-41 41-05 57-36 10.49 1.90 20-2 14. 13. 46. 8-3 109. 5. 12-81 19-81 53-00 9.88 3. 07 5.40 1. 28 47 26-4 1.92 51 92. 58. 57-00 55-87 61-13 13.47 1.74 28-0 15. 14. 44. 39-5 124. 32. 45-69 49-44 56-25 11.38 2.91 6.12 1.40 39 26-1 2. 18 49 94. 2.26-29 25-62 60-67 14.61 1.57 31-6 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. ff \ 0. 7 Sub. M 30 Sub. 20-9 Sub. e \ 1.42 Sub. 30 Sub. 60-00 Sub. v 10.21 Sub. 1. 00 Sub. 23-7 2.00 4.00 [72] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich feD O *^ CJ i ~ O *^ Ecliptic -.5- -S k s Mean Solar Time of Observation of Longitude of Moon's Center from 11 D OJ 1 3|! |1 *| &5> 3 S * o .- "3 1! 1 I ange for ( Argumen |J it Evection, If !| 03 < N. P. D. of Moon's Center from Seconds o bular Eel N. P. D. O "8 ^ 891*1 Is-' &5> s j;g^ vection ir .N.P.D, Moon's Limb. Observation. o * 0.2 S.s S.s Observation. & tS s S.S UH 1769. ' > o / a II s V X u 8 * \ g \\ O I II " a * \ \v Dec. 18. 17. 16. 18-5 167. 58. 45-3 4934 56-05 13. 92 2.18 7.60 1.22 12 25-1 2.73 38 95. 16. 56-26 61-33 54-93 15.92 0.94 38-6 21. 19. 31. 59-5 207. 16. 22-8' 21-69 61-18 13.04 1.46 7.56 0.33 12 23-8 2.80 25 93. 54. 27-34 30-83 56-51 14. 3 I* H-td 1770 <1 h in g April 19. 19. 45. ll'O O t II 323.50. 3-18 2-41 60-77 g * 1.74 \ v\ 1.31 \ vx 7.25 0.15 18 1-3 * x 1.64 52 ' II 84. 55. 33-80 29-80 i 64-00 * 4.66 0.79 16-5 May 6. 9.40.34-1 192.51. 6-29 18-28 48-01 14.01 1.95 1.73 0.03 36 4-0 1.01 09 94.11.44-94 36-65 68-29 14.84 0.47 26-5 7. 10. 27. 49-7 206. 9.20-16 33-90 46-26 13.75 1. 70 2.44 0.18 45 4-2 0.75 11 93. 21. 12-99 11-07 61-92 13.94 0.32 23-5 8. 11. 15. 55-6 219.13.39-07 53-61 45-43 13. 13 1.48 3.23 0.45 52 4-6 0.51 13 92. 20. 61-05 57-43 63-62 12.86 0.20 20-4 9. 12. 4. 56-2 9. 12. 7. 8-4 232. 4.45-80 232. 5.54-13 60-48 68-52 45-32 45-61 12.21 12.21 1.29 1.29 4.06 4.06 0.77 0.77 54 54 4-8 4-8 0.31 0. 31 16 16 91.14.32-19 91. 14. 19-36 26-57 20-44 65-62 58-92 11.66 11.66 0. 13 0.13 17-5 17-5 12. 14. 35. 36-7 269. 32. 58-15 60-08 58-07 8.20 0.99 6.36 1.50 35 5-4 0.00 28 87. 51. 27-53 30-58 56-95 7.97 0. 17 10-5 14. 16. 10. 2-6 293. 59. 45-12 33-45 71-67 5.14 1.01 7.39 1.37 16 5-9 0.08 38 86. 2.60-51 57-99 62-52 5.99 0.40 8-1 June 1. 6.52. 1T6 175.10. 5-45 10-17 55-28 13.61 2.38 0.26 0.52 08 11-0 2.50 16 94. 59. 30-89 30-72 60-17 15.60 0.70 39-8 7.11.39. 18-5 252.50. 2-89 15-63 (47-26) 10.54 1. 10 3.58 0.60 53 12-7 0.94 09 89. 20. 48-60 47-95 (60-65) 9.45 0.11 28-0 9. 13. 19. 8-7 277.27. 6-48 18-94 47-54 7.62 0.97 5.23 1.23 49 13-6 0.46 14 87. 13. 12-23 19-42 52-81 7. 14 0.24 22-2 11. 14.51.42-1 301.52.65-34 58-07 67-27 4.58 1.03 6.63 1.52 31 14-2 0.12 21 85. 37. 10-80 12-70 58-10 5.42 0.51 16-8 13. 16. 18. 59-6 326. 31.68-82 59-24 69-58 2.00 1.27 7.53 1.27 13 14-8 0.00 30 84. 48. 15-30 12-05 63-25 4.56 0.87 12-0 15. 17. 45. 23-2 351. 56. 44-92 40-91 64-01 0.37 1.67 7.76 0.69 07 15-4 0. 11 39 84.57.11-13 5-00 66-13 4.75 1.26 8-7 16. 18. 30. 25-8 5. 7.59-39 52-34 67-05 0.05 1.91 7.61 0.39 11 16-0 0.24 43 85. 25. 23-40 18-38 65-02 5.28 1.46 7-8 July 4. 9.36. 3-5 248.51.28-60 21-14 67-46 11.34 1.18 1.68 0.02 36 22-1 2.23 12 89. 40. 51-90 54-44 57-46 9.70 0.10 39-4 5. 10. 25. 9-2 261. 9.60-04 55-70 64-34 10.02 1.06 2.38 0. 17 45 22-4 1.98 10 88. 34. 55-34 55-99 59-35 8.49 0.14 38-3 7.12. 1.16-4 7.12. 1.16-4 285. 37. 42-58 285. 37. 42-90 41-41 41-41 61-17 61-49 7.03 7.03 0.97 0.97 4.00 4.00 0.75 0.75 54 54 23-0 23-0 1.43 1.43 08 08 86. 38. 47-14 86. 38. 44-31 54-31 54-31 52-83 50-00 6.38 6.38 0.33 0.33 34-9 34-9 9. 13.34.11-9 310. 8.24-03 17-18 66-85 4.04 1.06 5.62 1.34 45 24-0 0.87 10 85.19.41-37 46-40 54-97 4.96 0.65 29-9 11.15. 0.28-3 334. 56. 35-28 28-79 66-49 1.60 1.33 6.91 1.51 26 24-6 0.40 15 84. 51. 37-67 42-52 55-15 4.50 1.03 24-5 12.15.43. 17-4 347. 34. 23-70 11-39 72-31 0.75 1.53 7.37 1.39 17 24-9 0.23 18 84.59.33-16 28-10 65-06 4.67 1.22 21-4 13. 16. 26. 56-5 0. 25. 35-66 27-95 67-71 0.21 1.76 7.64 1.16 10 25-2 0. 10 22 85. 22. 27-77 21-05 66-72 5.12 1.41 18-4 29. 5.54.51-4 219. 28. 51-88 53-56 58-32 13.68 1.67 0.25 0.85 08 30-3 2.71 39 92. 5.34-26 34-47 59-79 12.45 0.17 31-1 Aug. 3. 9. 58. 20-1 281. 36. 60-26 46-90 73-36 7.98 0.98 1.98 0.07 40 32-0 2.58 17 86.52.26-15 33-87 52-28 6.57 0.31 39-7 4. 10. 44. 58-5 293.50.23-77 7-34 76-43 6.45 0.98 2.71 0.28 48 32-3 2.40 14 86. 6.28-14 29-56 58-58 5.72 0.45 40-0 5. 11.30. 17-5 306. 7. 19-75 2-04 77-71 4.93 1.02 3.52 0.57 53 32-5 2.17 11 85. 30. 58-88 67-82 51-06 5.07 0.61 39-8 7. 12. 59. 47-9 330. 59. 78-64 59-70 78-94 2.27 1.23 5.17 1.21 49 33-1 1.64 08 84. 58. 62-43 58-36 64-07 4.50 0.99 37-9 9.14.26. 15-1 356. 25. 70-53 59-85 70-68 0.50 1.61 6.58 1.51 32 33-8 1.08 09 85.24.32-14 31-79 60-35 5.01 1.37 34-1 10. 15. 10. 53-4 9.26.11-11 2-52 68-59 0. 10 1.85 7.12 1.47 22 34-1 0.81 10 85.59.11-90 14-00 57-90 5.69 1.55 31-6 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. g \ 1.42 Sub. 30 Sub. 60 : 00 Sub. 10.21 Sub. \ \\ 1.00 Sub. 23-7 2.00 4.00 1770. June 7. The observed Z. D. has been increased 2 Verniers. GREENWICH LUNAR REDUCTIONS [L] [74] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich *O r r r Ecliptic **" ?" J, .S - Mean Solar Time of Longitude of a * in J5 13 " J3 .M i ss 0.5" H 3& Z'-X J 11 i -" ec | a i* at 8 N.P.D. of 11 Sfo o c | +* c6 rt ti -2 1 d gO Observation of Moon's Limb. Moon's Center from Observation. 1 3-S v H * -8,3 *!! If &s, a r J< o.S Is- "3 S; i& 1.1 II < S U 1 W |g> a< S.s Moon's Center from Observation. ~ ~ oJ 3 z "z jlri x r y Aug. 11.15.57.32-9 22. 40. 36-68 34-62 62-06 0.06 2. 11 7.51 1.29 13 34-3 0.56 12 86. 47. 26-52 27-75 58-77 6.60 1.70 28-5 12. 16.47. 0-1 36. 12. 35-57 32-78 62-79 0.42 2.37 7.73 1.02 08 34-6 0. 35 15 87. 47. 34-64 31-04 63-60 7.75 1.81 25-5 14.18.36. 0-8 64.21. 7-49 2-72 64-77 2.28 2.85 7.63 0.40 10 35-0 0.07 23 90. 12. 6-83 1-09 65-74 10.49 1.90 18-7 29. 7. 5.44-7 265. 4. 2-40 1-94 60-46 10.35 1.09 0.33 0.40 10 38-3 2.61 42 87. 55. 35-70 31-90 63-80 7.86 0. 18 26-3 30. 7.53.58-3 277.18.21-91 21-26 60-65 8.92 1.01 0.60 0. 15 16 38-5 2.74 38 86. 59. 57-92 52-82 65-10 6.80 0.28 29-2 31. 8.41. 1-3 289. 31.10-61 2-72 67-89 7.40 0.97 1.05 0.02 25 38-7 2.82 34 86. 12. 38-80 42-87 55-93 5.90 0.41 31-8 Sep. 1. 9.26.48-1 301.46.40-60 29-14 71-46 5.86 0.98 1.63 0.02 35 38-8 2.83 29 85. 35. 54-54 56-88 57-66 5.20 0.57 34-1 3. 10. 55. 17-2 326.38.71-24 48-35 82-89 3.03 1. 15 3.12 0.41 51 39-3 2.69 20 85. 0. 2-51 8-15 54-36 4.51 0.94 37-9 4.11.38.48-3 339. 19. 84-75 59-41 85-34 1.85 1.29 3.94 0.72 54 39-4 2.54 17 85. 3. 34-42 33-66 60-76 4.56 1. 14 39-1 7. 13. 55. 58-8 18. 36.30-83 7-69 83-14 0.04 1.94 6.27 1.48 37 39-8 1.85 09 86. 42. 32-46 29-67 62-79 6.41 1.67 39-5 8. 14. 44. 48-4 32. 6.57-30 36-13 81-17 0. 15 2.21 6.87 1.51 27 40-0 1.57 08 87.41.34-19 29-95 64-24 7.52 1.79 38-4 10. 16. 30. 54-6 59. 50. 46-97 30-71 76-26 1.55 2.72 7.64 1.17 11 40-3 1.00 09 90. 3.27-56 21-88 65-68 10.19 1.90 34-5 12.18.26.15-9 88. 38. 36-02 25-11 70-91 4.32 3.08 7.72 0.55 08 40-5 0.50 13 92.29.41-82 45-52 56-30 12.96 1.79 28-3 13. 19. 24. 53-5 103. 26. 45-03 37-24 67-79 6.02 3. 17 7.49 0.28 13 40-6 0. 30 16 93. 32. 25-49 26-26 59-23 14.15 1.65 24-7 28. 7. 21. 16-9 296. 59. 49-53 51-16 58-37 6.81 0.97 0.42 0.27 12 41-6 2.27 48 85. 36. 46-87 46-33 60-54 5.37 0.52 18-2 29. 8. 6. 12-3 309.17. 4-74 4-93 59-81 5.29 1.00 0.78 0.07 20 41-6 2.48 45 85. 9. 9-47 9-00 60-47 4.83 0.70 21-2 30. 8. 50. 13-2 321.42.27-43 21-95 65-48 3.85 1.08 1.29 0.00 30 41-6 2.65 41 84. 54. 63-41 51-67 61-74 4.54 0.89 24-0 Oct. 2.10.17.44-4 347. 11. 17-76 7-91 69-85 1.47 1.36 2.66 0.26 48 41-6 2.83 32 85. 10. 29-56 30-61 58-95 4.78 1.28 29-9 3.11. 2.36-5 0.18.74-14 54-75 79-39 0.65 1.56 3.46 0.55 53 41-6 2.83 28 85.41.22-39 24-48 57-91 5.33 1.47 32-7 4. 11.49. 9-1 13.43.27-23 13-15 74-08 0.16 1.79 4.30 0.88 54 41-6 2.77 23 86.27. 4-80 5-65 59-15 0. 16 1.63 35-2 10. 17. 19.33-8 98. 52. 72-27 54-00 78-27 4.96 3.12 7.73 1.03 09 41-3 1.49 08 93. 27. 9-53 7-40 62-13 13.92 1.68 38-2 11. 18. 16. 27-6 1 13. 34. 72-72 58-50 74-22 6.70 3.18 7.76 0.72 07 41-2 1.20 08 94. 19. 14-98 17-93 57-05 14.91 1.51 36-3 13. 20. 4. 29-8 143, 6.59-14 59-16 59-98 10. 13 3.05 7.31 0.18 17 41-1 0.67 11 95.10.21-54 21-58 59-96 15.91 1.08 30-6 25. 5.14.29-9 291.56.59-31 46-28 73-03 7.77 0.98 0.31 1.03 09 39-9 0.95 51 85.41.25-56 22-60 62-96 5.57 0.48 7-7 27. 6.43.47-1 316. 27. 30-39 26-69 63-70 4.74 1.02 0.31 0.42 09 39-5 1.53 53 84. 50. 9-52 5-48 64-04 4.60 0. 83 9-8 28. 7.27. 5-2 328. 52. 40-63 35-72 64-91 3.35 1.12 0.57 0.17 15 39-4 1.81 52 84. 45. 16-49 11-71 64-78 4.50 I! 02 11-5 29. 8. 10. 22-6 341. 31. 4-03 3-27 60-76 2.12 1.25 1.01 0.02 24 39-2 2.08 50 84. 55. 18-74 18-36 60-38 4.66 1.22 13-7 30. 8.54.28-4 354. 27. 7-96 2-71 65-25 1.13 1.43 1.59 0.01 34 39-1 2.33 47 85. 20. 55-68 55-87 59-81 5.12 1.41 16-3 31. 9.40.12-9 7.43.54-17 42-07 72-10 0.43 1.64 2.28 0.14 44 38-9 2.53 44 86. 1.57-92 60-54 57-38 5.85 1.58 19-2 i Sub. Sub. Sub. Sub. Sub. fr \ Sub. Sub. Sub. Sub. Sub. // Sub. g \ Sub. \ \\ Sub. 60-00, 7.02 2. 00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1. 00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [75] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. ti. U 2 n S J Change for Os- 1 in Argument. Parallactic Inequality. Variation. Change for Oe-1 in Argument. Annual Equation. Evection. Change for Oe-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. J>.2 its 11* A 'Z & S Effect of Mean Inclination. Change for Os- 1 in Argument. {* .2 P. 1* WW 1770. d h m ' Nov. 1.10.28.23-7 o / // 21.22.44-72 // 38-75 a 65-97 S 0.07 1.88 3.06 0.38 51 38-7 g 2.68 40 O f II 86. 57. 32-74 // 35-57 a 57-17 g % 6.85 X V\ 1.73 22-4 2. 11. 19.40-3 35. 23. 54-45 51-01 63-44 0.09 2.14 3.88 0.70 54 38-6 2.79 36 88. 5.32-42 33-20 59-22 8.08 1.84 26-0 4. 13. 14. 10-5 64. 24. 52-42 51-85 60-57 1.31 2.66 5.51 1.31 46 38-0 2.82 27 90. 43. 18-78 16-15 62-63 10.93 1.89 32-4 0.15.13.29-2 94. 9. 59-20 48-12 71-08 3.94 3.05 6.83 1.51 27 37-6 2.61 18 93.13.32-58 29-92 62-66 13.67 1.72 37-6 9. 18. 1. 14-8 138. 39. 67-88 54-35 73-53 9.12 3. 12 7.76 0.88 07 37-0 1.97 10 95. 13. 55-42 61-15 54-27 15.87 1.13 39-9 10.18.52.21-9 153. 13. 47-23 33-27 73-96 10.72 2.99 7.73 0.57 08 36-6 1.69 08 95.14.52-10 58-24 53-86 15.90 3.90 39-1 23. 4.37.69-4 311.23.51-39 37-72 73-67 5.66 0.99 0.44 1.18 12 33-5 0.31 44 84. 53. 41-96 45-77 56-19 4.68 0.77 9-3 24. 5. 21. 5-5 323. 38. 2(5-99 13-66 73-33 4.20 1.05 0.26 0.90 08 33-2 0.51 47 84.43. 7-66 10-73 56-93 4.50 J. 96 8-2 25. 6. 3.38-4 335. 59. 67-37 58-29 69-08 2.86 1.16 0.25 0.58 08 33-0 0.75 50 84.47. 5-62 2-71 62-91 4.58 1.15 7-6 26. 6.46.27-1 348. 34. 29-48 21-93 67-55 1.72 1.31 0.40 0.29 12 32-4 1.02 52 85. 5.48-32 48-02 60-30 4.93 1.34 7-4 27. 7. 30. 26-2 1.26.53-66 47-72 65-94 0.83 1.51 0.75 0.09 19 32-1 1.31 53 85. 39. 34-26 34-42 59-84 5.55 1.52 7-9 28. 8. 16. 33-4 14. 42. 14-66 7-42 67-24 0.25 1.73 1.25 0.00 29 31-9 1.60 52 86. 27. 56-59 60-60 55-99 6.44 1.68 8-9 30. 9.58.36-1 42. 34. 48-97 40-84 68-13 0.19 2.24 2.60 0.24 47 31-3 2.15 49 88. 42. 53-24 60-51 52-73 8.90 1.88 12-9 Dec. 1. 10. 55. 22-5 57. 13. 18-02 11-10 66-92 0.76 2.51 3.41 0.53 53 31-0 2.38 47 90. 3.13-95 20-26 53-69 10.36 1.90 15-9 3. 12. 59. 30-5 87. 36. 55-90 44-70 71-20 3.00 2.95 5.11 1.17 50 30-4 2.72 39 92. 43. 10-00 6-87 63-13 13.25 1.76 22-9 4. 14. 0. 48-1 103. 3.68-27 55-21 73-06 4.56 3.10 5.87 1.41 42 29-8 2.81 34 93. 49. 16-17 17-39 58-78 14.43 1.61 26-8 5. 14. 59. 57-4 118.28.65-18 55-11 70-07 6.28 3.17 6.54 1.51 33 29-5 2.83 30 94. 38. 37-78 39-34 58-44 15.31 1.41 30-2 7. 16. 49. 10-3 148. 40. 37-77 30-76 67-01 9.76 3.08 7.49 1.31 14 28-9 2.71 21 95.15. 9-84 13-44 56-40 15.92 0.95 36-1 8. 17. 39. 49-3 163. 17. 44-75 33-58 71-17 11.26 2.92 7.72 1.04 09 28-6 2.57 17 95. 1.56-35 59-76 56-59 15.66 0.72 38-1 9. 18. 28. 52-9 177. 33. 24-11 21-62 62-49 12.50 2.71 7.77 0.73 07 28-3 2.38 14 94. 30. 15-28 16-52 58-76 15.06 0.52 39-4 10. 19. 17. 17-2 191. 28. 56-62 48-53 68-09 13.39 2.47 7.64 0.43 10 28-0 2. 15 11 93.43. 5-66 12-89 52-77 14.18 0.35 40-0 11.20. 5.46-9 205. 5.63-56 49-94 73-62 13.89 2.21 7.34 0.19 17 27-4 1.90 09 92. 44. 24-35 27-55 56-80 13.09 0.22 39-8 22. 3.59.41-6 331. 12. 24-48 11-63 72-85 3.67 1.09 0.60 1.30 16 23-8 0.01 32 84. 50. 6-16 3-37 62-79 4.53 1.10 17-5 23. 4.41.41-9 343. 30. 64-95 54-92 70-03 2.40 1.22 0.33 1.06 10 23-5 0.07 37 85. 3. 16-35 12-22 64-13 4.80 1.29 14-8 29. 9. 34. 41-6 64. 9.51-12 49-17 61-95 1.07 2.60 2.23 0. 13 43 21-1 1.39 53 90. 44. 27-20 32-03 55-17 11.20 1.89 7-7 30. 10. 35. 32-5 79. 19. 31-94 33-04 58-30 2.15 2.83 3.00 0.37 50 20-8 1.68 52 92. 3. 12-21 14-88 57-33 12.65 1.81 8-9 1771. Jan. 3. 14. 39. 7'3 142.18.42-67 34-89 67-78 8.71 3.14 6.17 1.47 38 19-1 2.62 42 95. 6.58-95 60-83 58-12 15.93 1.03 20-7 4. 15. 32. 55-9 157. 39. 28-99 27-25 61-74 10.36 3.03 6.79 1.51 28 18-8 2.75 38 95. 0.33-84 30-21 63-63 15.77 0.79 24-2 6. 17. 14. 19-9 186. 58. 6-66 9-94 56-72 12.88 2.62 7.61 1.19 11 18-1 2.83 29 93. 49. 55-61 57-77 57-84 14.39 0.39 31-1 Sub. 60-00 Sub. s \ 7.02 Sub. Sub. Sub. e < 0.76 Sub. 30 Sub. 20-8 Sub. g \ 1.42 Sub. 30 Sub. 60-00 Sub. g \ 10.21 Sub. V \\ 1.00 Sub. 23-7 2. 00 4.00 [L]2 [76] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich r to +J W ^J Ecliptic ^ [_ | j, .0 z Mean Solar Time of Longitude of **% Ijl ill ~ c || | <=> a t- a, S ~- c S.S 1 O G N.P. D. of O ~ . O _&. rt 'cC o ol Observation of Moon's Center from S- a 'S: &*3 tj M 5^ WO j a f II ^ I If 1 II 5 ^ O ' '/ " II g * > Jan. 7. 18. 3. 34-8 200. 54. 31-41 25-49 65-92 13.62 2.37 7.76 0.90 08 17-8 2.78 24 92. 53. 45-64 50-53 55-11 13.33 0.25 33-9 9. 19. 42. 16-1 227. 35. 9-72 4-31 65-41 13.94 1.85 7.53 0.31 13 17-1 2.52 16 90.41. 1-26 2-18 59-08 10.83 0. 10 38-0 25. 7.18.50-3 57. 5.16-10 2-18 73-9-2 0.58 2.44 0.72 0.10 19 11-8 0.22 42 90. 18. 9-36 8-96 60-40 10.64 1.90 13-3 27. 9.16. 6-4 86.29. 7-41 7-06 60-35 2.65 2.91 1.83 0.05 38 109 0.63 49 92. 44. 29-45 29-36 60-09 13.40 1.75 9-0 29.11.18.43-4 117.48. 2-25 17-86 44-39 5.84 3.16 3.41 0.51 53 10-3 1.18 52 94.31.51-13 47-02 64-11 15.41 1.38 7-4 Feb. 1.14.12. 3-2 165. 25. 41-50 34-65 66-85 10.91 2.97 5.82 1.40 43 9-5 2.04 50 94.37.43-19 47-50 55-69 15.48 0.65 11-8 2.15. 4.48-6 180. 38. 35-16 33-49 61-67 12.23 2.77 6.49 1.51 33 9-2 2.29 48 93. 57. 35-64 38-59 57-05 14.71 0.44 14-8 4. 16. 47. 19-2 209.28. 4-76 2-85 61-91 13.81 2.27 7.47 1.32 14 8-4 2.66 41 91. 58. 19-02 25-26 53-76 12.44 0.17 21-2 19. 3.33. 6-7 25.34. 1-91 3-72 58-19 0.20 1.76 0.63 1.32 16 4-8 0.44 14 87.52. 7-51 3-79 63-T2 7.70 1.81 34-7 20. 4.20.55-2 38. 36. 40-64 46-97 53-67 0.03 2.01 0.34 1.08 10 4-4 0.25 17 88.57.24-16 18-65 65-51 8.94 1.88 3-2"2 21. 5.11.39-1 51. 58. 33-99 37-23 56-76 0.25 2.28 0.23 0.77 07 4-2 0. 11 21 90. 7.40-11 39-30 60-81 10.27 1.90 29"2 22. 6. 5.28-5 65. 43. 53-51 5f-98 61-53 0.86 2.54 0.29 0.46 09 4-0 0.03 26 91. 19.41-35 33-29 63-06 11.63 1.87 26-0 23. 7. 2. 4-2 79. 56. 15-39 7-99 67-40 1.86 2.78 0.53 0.20 14 3-8 0.00 30 92.29. 6-22 3-28 62-94 12.90 1.79 22-7 24. 8. 0.34-7 94. 37. 24-29 16-13 68-16 3.19 2.98 0.94 0.04 23 36 0.03 35 93.31. 4-58 1-01 63-57 14. 15 1.65 19-2 26. 9.58.30-7 125. 17. 42-95 51-31 51-64 6.50 3. 18 2. 18 0.12 43 3"2 0.27 43 94.51.42-21 38-98 63-23 15. 72 1.24 126 27. 10. 65. 56-9 141. 3. 27-74 40-33 47-41 8.27 3. 16 2.94 0.36 50 2-9 0.47 47 95. 1.46-49 37-63 68-86 15. 93 1.00 10-1 Mar. 24. 6. 49.35-1 103.58. 7-61 9-66 57-95 3.76 3.03 0.38 0.32 11 o-i 0.21 18 94. 16. 4-29 7-77 56-52 14.86 1.5-2 32-0 28. 10. 30. 40-0 164.37. 8-71 16-08 52-63 10.54 3.01 2.55 0.22 47 o-o 0.05 36 94. 36. 29-89 25-82 64-07 15. 40 0.62 17-7 29. 1 1. 23. 59-3 179. 56. 2-70 0-18 62-52 11.93 2.82 3.35 0.50 52 o-o 0.16 40 93. 49. 60-04 52-81 67-23 14.57 0.42 14-3 April 3. 15.53. 8'3 251. 29. 49-09 48-48 60-61 13.45 1.58 7.02 1.49 24 o-o 1.34 53 87.53. 8-41 18-64 49-77 8.05 0.17 7-5 4. 16.44.45-1 264. 32. 32-48 29-48 63-00 12.66 1.37 7.44 1.34 15 o-i 1.63 52 86.51.49-00 57-41 51-59 6.90 0.27 8-1 9. 20. 35. 23-5 3-26. 29. 15-39 22-34 53-05 5.82 0.99 6.95 0.08 24 0-3 2.73 39 84. 50. 70-05 51-19 78-86 4. 54 1.12 17-7 25. 9. 13. 26-0 173. 26. 17-71 30-87 46-84 11.10 2.94 1.46 0.00 33 2-0 0.17 19 94. 15.24-59 19-95 64-64 14.88 0.48 30-9 26. 10. 5. 12-6 188. 15. 2-02 7-30 54-72 12. 37 2.74 2. 13 0.11 42 2-2 0.06 24 93. 19. 20-74 14-04 66-70 13. 88 0.31 27-5 28. 11.50.36-1 217. 18. 52-96 50-65 62-31 13.85 2.24 3.70 0.65 54 2-5 0.01 33 90. 54. 41-86 31-77 67-09 11.27 0.11 20-4 28. 11. 52. 52 8 217. 20. 12-73 8-93 63-80 13.86 2.23 3.70 0.65 54 2-5 0.01 33 90. 54. 34-08 27-64 66-44 11.27 0. 11 20-4 May 2. 15. 24. 57'3 271.41. 5-63 2-03 63-60 12.28 1.31 6.75 1.52 29 3-3 0.59 48 86. 17. 37-54 44-61 52-93 6.24 0.35 10-0 3. 16. 14. 25-0 284. 26. 21-76 14-94 66-82 11.13 1.16 7.25 1.43 19 34 0.84 51 85. 33. 14-89 20-26 54-63 5.43 0. 51 8-7 8. 19. 55. 8-4 346. 8.19-06 37-19 41-87 3.82 1.08 7.22 0. 14 19 4-6 2.23 48 85. 22. 35-55 14-74 80-81 5.20 1.43 9-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2.00 \ \\ 4.00 g \ 0.76 30 20-8 1. 42 30 60-00 10.2i i.ob 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [77] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. \'i I J Excess of Observed Loniritude. o If Change for 08-1 I in Argument. Parallactic Inequality. Variation. Change for 0^-1 in Argument. | Annual Equation. Evection. Change for OS- 1 in Argument. Ecliptic N.P.D. of Woon's Center from Observation. seconds 01 Tabular Eclipticl N. P. D. 1 1 O 5 f . l^. i i Effect of Mean Inclination. Change for 08-1 in Argument. Evection in E.N.P.D. 1771. d h m s May 19. 4. 32. 16'0 Q 1 It 124. 23. 37-24 ft 33-94 if 63-30 K * 5.01 J. 13 0.48 s * 1.22 13 \ 7-0 s ' 2.08 10 O ' /' 95. 8.36-55 25-87 ff 70-68 g * 5.80 % \\ 1.19 37-3 21. 6.18.19-7 153. 57. 55-39 60-24 55-15 8.52 J. 15 0.24 0.63 07 7-5 1.53 08 95. 2.61-64 52-35 69-29 5.68 3.73 39-8 23. 7.59.42-4 183. 7.40-09 54-29 45-80 1.61 2.87 0.69 0.11 18 8-3 0.97 09 93.40.18-29 14-40 63-89 4. 15 9.35 39-3 24. 8.50.23-7 197. 28. 53-92 70-57 43-35 2.76 2.65 1.17 0.01 27 8-5 0.70 11 92.37.11-85 5-13 66-72 3.00 9.21 38-0 25. 9.41.50-6 211.39.12-80 28-68 44-12 3.56 2.40 1.78 0.04 37 8-8 0.47 14 91.25. 1-85 3-81 58-04 1.68 0.13 359 26. 10. 34. 13-3 225.37. 8-20 24-96 43"24 3.96 2.14 2.49 0.21 46 9-1 0.28 17 90. 9. 1-76 0-34 61-42 0.30 0.10 33-5 27. 11. 27. 18-2 239. 21. 18-39 V2-32 46-07 3 97 1.87 3.29 0.48 52 93 0.13 21 88. 53. 44-45 44-49 59-96 8.93 0.12 30-6 28. 12. 22. 42-6 252. 51. 31-74 44-27 47-47 3.59 1.63 4.12 0.81 54 9-6 0.04 25 87. 43. 27-35 3433 53-02 7.65 0.20 27-5 30.14. 5.43-3 279. 1. 20-26 31-63 48-63 11.88 1.25 5.72 1.37 44 10-1 O. 02 34 85. 52. 33-82 40-51 53-31 5.65 0.46 21-4 June 1.15.40.38-0 304. 12. 41-61 37-08 64-53 9.24 1.02 6.98 1.49 24 11-0 0.24 43 84. 53. 54-64 63-39 51-25 4.62 0. 82 15-9 7.20. 0. 4-4 18. 39. 9-66 19-69 49-97 1.11 1.43 6.98 0.08 24 12-7 1.77 52 87.31.16-36 8-75 67-61 7.60 1.80 7-4 20. 6.47.47-4 193. 8.56-66 59-58 57-08 12.10 2.79 0.28 0.49 09 17-0 2.00 10 92. 50. 63-34 55-73 67-61 13.25 0.24 37-9 21. 7.38.17-6 207. 12. 49-84 53-97 55-87 13.11 2.56 0.51 O. 22 14 17-3 1.73 09 91. 42. 53-09 46-10 66-99 11.98 0.14 39-2 22. 8.29.26-3 221. 1.2196 27-78 54-18 13.76 2.30 0.90 0.05 22 17-6 1.45 08 90. 29. 48-88 50-26 58-62 10. 62 0.10 39-9 25.11. 5.33-7 261. 6. 12-88 27-99 44-89 13.36 1.55 2.88 0.32 50 18-9 0.64 12 87. 4.38-74 43-90 54-84 6.83 0.28 38-1 28.13.35.19-6 299.23.31-32 41-99 49-33 10.12 1.07 5.34 1.25 48 19-8 0. 10 22 85. 6.46-65 48-55 58-10 4.70 0.76 32-0 29. 14. 20. 32-3 311.47.5628 70-11 46- J 7 8. 67 1.00 6.07 1.45 40 20-2 0.02 26 84.54.68-66 59-28 69-38 4.50 0.96 29-2 July 3. 17. 10. 14-2 0. 48. 28-48 33-21 55-27 2.82 1.17 7.74 0.97 08 21-8 0.2 43 86. 24. 25-7 19-44 66-3 6.26 1.6 18-0 16. 3.52.41-9 173. 45. 18-6- 19-77 58-85 9. 78 3.0 0. 9( 1.41 22 25-9 2.8 30 93. 55. 35-7 22-61 73-1 14.60 0.4 20-4 17. 4.44.24-5 188.32.20-88 22-42 58-4(j 11. 30 2.9 0.5 1.24 13 26-5 2.8 26 92. 58. 50-3 40-84 69-5 13.52 0.2 24-0 19. 6. 26. 52-7 216.53.24-77 20-66 64-1 13.40 2.4 0.2 O.G5 07 27-1 2.5 18 90. 40. 19-0 18-40 60-5 10.88 0.1 30-6 21. 8.10. 7-5 243. 50. 48-84 44-5 64-3 14.00 1.9 0.6 0.12 17 277 2.1 11 88.19. 15-8 16'6( 59-1 8.22 0. 1 35-8 22. 9. 1.39-0 256. 55. 29-03 31-25 57-7 13.72 1.6 1.1 0.01 27 28-0 1.9 09 87. 17. 14-7 14-8-3 59-8 7.05 0.25 37-7 23. 9.52.25-4 269. 47. 50-58 51-00 59-5 13. OS 1.4 1.7 0. 02 37 28-3 1.6 08 86. 24. 37-4 42-6- 54-7 6.07 0.38 39-0 24. 10.41.51-7 282. 29. 40-4J 40-65 59-7 12. 14 1.2 2.4 0. It 46 28-9 1.37 08 85. 43. 41-9 45-52 56-4 5.30 0.54 39-8 27.13. 1.32-9 319. 47. 24-T 30-86 53-8 8. 11 0.9 4.8 1.11 51 29-8 0. 5S 12 85. 1.39-9 49-62 50-34 4.52 1.10 38-9 28. 13.44. 16-0 332. 1.29-8 37-8 51-9 6. 5' 0.9 5.6 1. 3f 45 30-1 o.y, ' 15 85. 15. 34-0 38-71 55-3 4. 8C 1.28 37-6 29.14.26. 11-4 344. 13. 17-1 22-10 55-0 5. Of 1.0 6.3 1.5C 35 30-3 0. 2( > 19 85. 42. 27-3 28-12 592 5.3:2 1.46 359 31.15.50.20-4 8. 42. 32-0 37-0 55-0 2. 3" 1.2 7.3 1.31 16 30-9 0.01 27 87. 10. 18-8 19-96 58-8 <;.!>! 1.74 31-3 Sub ed'o Sub. a \ 7.0: Sub 2.0 Sub 4. Sub. 6.7f Sub 30 Sub 20-8 Sub. 1.41 Sul ! 30 Sub 60-0 Sub. !lO. 21 Sub i.oc Sub. 23-7 [78] KEDUCTIOX OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .^ Il sf Change for OP- 1 in Argument. Parallactic Inequality. Variation. Change for Os- 1 1 in Argument. ~2 .2 5 a a a < o" W Evcction. Change for 0'l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. j," a. . siS $-0: s z si Effect of Mean Inclination. Change for O"-] 1 in Argument. 1? 1? WW 1771. " " " ' Aug. 1.16.34. 5-0 o / * 21. 8.42-61 a 45-55 u 57-06 g v 1.32 \ v\ 1.39 7.67 s 1.13 10 V 31-5 s v 0.00 32 o / // 88. 8. 13-08 // 13-17 59-91 e ' 8.09 \ \\ 1.84 \ 28-7 4. 19. 0. 32-6 60. 18. 36-64 34-69 61-95 0.05 2.09 7.44 0.25 14 32-3 0.32 44 91.31.24-50 22-46 62-04 11.94 1.86 19-4 20. 8.39.10-8 278. 32. 56-41 46-20 70-21 12.76 1.39 0.87 0.05 22 36-4 2.55 17 85.46. 1-44 12-91 48-53 5.44 0.51 29-7 21. 9.27. 9-0 291. 4.24-26 12-45 71-81 11.72 1.22 1.41 0.00 32 36-6 2.35 13 85. 16. 44-88 54-14 50-74 4.87 0.68 32-4 27. 13. 49. 20-6 4. 42. 61-59 59-90 61-69 3.14 1.14 6.02 1.44 40 38-0 0.76 11 87. 3.48-01 44-99 63-02 6.78 1.72 40-0 28. 14. 32. '29-3 17. 3.53-60 59-23 54-37 1.94 1.28 6.67 1.52 30 38-2 0.52 13 88. 0.56-97 50-91 66-06 7.85 1.82 39'5 29. 15. 17. 13-9 29. 33. 47-22 50-08 57-14 0.99 1.46 7.16 1.45 21 38-3 0.32 16 89. 4.31-13 29-60 61-53 9.03 1.88 38-6 30. 16. 4. 8-7 42. 16. 43-32 47-07 56-25 0.35 1.68 7.53 1.27 13 38-5 0.16 20 90. 12. 14-96 8-41 66-55 10.30 1.90 37-0 Sep. 14. 4.51.53-8 248. 2.28-62 30-02 58-60 14.01 2.00 0.53 1.25 14 40-6 2.47 45 87.30.61-90 45-35 66-55 7.57 0.20 9-8 15. 5.44.23-0 261.21.39-43 37-00 62-43 13. 82 1.74 0.29 0.98 09 40-7 2.64 41 86. 32. 28-8fa 19-96 68-90 6.47 0.32 11-7 17. 3.24. 1-5 286.58.19-29 18-43 60-86 12.40 1.32 0.34 0.37 10 41-0 2.82 33 85. 13.44-87 48-29 56-58 4.97 0.64 16-5 18. 8. 10. 49-5 299. 25. 15-71 18-24 57-47 11.26 1.17 0.63 0.13 17 41-1 2.83 28 84. 55. 27-47 28-99 68-48 4.60 0.83 19-2 19. 8.55.47-1 311.43.57-56 56-57 60-99 9.93 1.06 1.09 0.01 26 41-1 2.77 24 84.51.25-62 30-11 55-51 4.50 1.02 22-2 20. 9. 39. 16-2 323.58. 4-52 1-73 62-79 8.47 0.99 1.68 0.03 36 41-2 2.66 19 85. 1.37-26 39-45 57-81 4.66 1.21 25-0 22.11. 3.52-9 348. 24. 71-14 54-69 76-45 5.42 1. 00 3. 17 0.44 52 41-3 2.30 13 86. 1.48-83 49-24 59-59 5.72 1.56 30-6 25. 13. 15. 50-5 25. 38. 32-70 20-57 72-13 1.55 1.34 5.62 1.34 45 41-5 1.52 08 88. 50. 57-06 60-35 56-71 8.80 1.87 37-2 30. 17. 29. 11-9 91. 39. 38-04 34-01 64-03 0.89 2.55 7.77 0.84 07 41-6 0.27 17 94. 11. 18-58 23-85 54-73 14.72 1.55 38-9 Oct. 1. 18. 24. 35-3 105. 52. 17-43 14-74 62-69 1.90 2.78 7.71 0.52 09 41-6 0.13 21 94. 49. 37-51 42-83 54-68 15.45 1.36 37-3 14. 5.17.43-0 282. 7.23-44 20-04 63-40 12.97 1.44 0.38 1.13 11 41-1 2.07 50 85. 15. 53-71 56-14 57-57 5.11 0.60 7-5 15. 6. 5.59-6 294. 49. 42-53 40-42 62-11 11.99 1.26 0.24 0.84 07 41-0 2.32 47 84. 52. 20-63 22-30 58-33 4.67 0.78 8-0 16. 6.51.58-8 307. 17. 3-77 6-07 57-70 10.77 1.12 0.26 0.52 08 41-0 2.52 44 84. 43. 56-17 50-87 65-30 4.50 0.97 9-0 20. 9. 43. 16-1 356. 17. 12-22 1-00 71-22 4.85 1.02 2.03 0.08 41 40-5 2.82 27 8(5. 28. 36-30 36-86 59-54 6.35 1.66 17-2 21.10.26.12-8 8. 40. 63-22 52-03 71-19 3.45 1.11 2.77 0.29 49 40-4 2.75 23 87.24.10-76 10-92 59-84 7.35 1.78 19-9 22. 11. 10. 32 2 21. 14. 53-39 40-49 72-90 2.21 1.24 3.58 0.58 53 40-3 2.63 19 88.28. 2-00 0-69 61-31 8.51 1.86 2-2-9 23. 11. 56.45-1 23. 11. 58. 53-8 34. 0. 30-68 34. 1.40-61 26-87 33-61 63-81 67-00 1.20 1.20 1.41 1.41 4.42 4.42 0.91 0.91 53 53 40-2 40-2 2.46 2.46 15 15 89. 37. 23-45 89.37.30-80 27-14 33-29 56-31 57-51 9.76 9.76 1.90 1.90 26-0 26-0 24. 12. 47. 25-2 47. 0.53-21 49-01 64-20 0.47 1.62 5.23 1.22 49 40-0 2.24 12 90. 49. 24-47 24-08 60-39 11.07 1.89 29-0 27. 15. 25. 18-5 87. 27. 29-82 17-93 71-89 0.45 2.39 7.16 1.46 21 39-5 1.44 08 94. 1. 7-62 9-65 57-97 14.54 1.59 36-7 28. 16. 20. 4-2 101.26.60-75 50-31 70-44 1.23 2.64 7.53 1.28 13 39-4 1.15 08 94. 43. 57-55 54-40 63-15 5.32 1.40 38-4 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0. 76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60*00 Sub. 0.21 Sub. 1. 00 Sub. 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [79] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Ml Excess of Observed Longitude. 0. S s if c Change for OE'l in Argument. Parallactic Inequality. Variation. Change forOS'l in Argument. Annual Equation. Evection. Change for 08-1 \ in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic \ N.P.D. oHL . M t* y x Effect of Mean Inclination. [Change for OB-! in Argument. 1* w w 1771. " h m ' Oct. 29. 17. 14. 37-7 o / " 115.41.47-96 ft 38-17 n 69-79 2.37 2.87 \ \v 7.74 g * 1.00 \\ 08 i 39-2 g v 0.88 10 o / // 95. 10. 7-43 ft 7-77 If 59-66 g * 15.80 \ \\ 1. 19 39-5 30.18. 8.30-2 130. 11. 14-02 6-58 67-44 3.81 3.04 7.76 0. 69 08 39-1 0.63 12 96. 17. 12-38 18-43 53-95 15.93 0.97 40-0 31. 19. 1. 36-5 144.54. 6-39 3-96 62-43 5.47 3.15 7.61 0.39 11 38-9 0.41 15 95. 3.53-21 62-04 51-17 15.69 0.74 39-7 Nov. 13. 5.30.44-8 314. 38. 16-43 14-73 61-70 10.27 1.08 0.30 1.00 09 36-2 1.59 52 84. 45. 22-24 23-82 58-42 4.54 1.11 8-8 18. 9. 4.37-4 16. 7.62-93 56-46 66-47 2.96 1. 15 1.63 0.02 35 34-8 2.71 39 88. 1.31-07 31-79 59-28 8.16 1.84 9-2 19. 9.50. 7-0 28. 50. 18-13 13-54 64-59 1.80 1. 30 2.33 0. 16 45 34-5 2.80 35 89. 8.57-83 60-70 57-13 9.39 1.89 10-8 21.11.28.40-4 55. 8.30-34 35-50 54-84 0.28 1.71 3.94 0.74 54 34-0 2.81 26 91.32.31-50 31-84 59-66 12.00 1.86 15-6 27. 16. 58. 26-5 140.27. 8-91 0-60 68-31 4.43 3.09 7.65 1.15 10 32-1 1.65 08 95. 5. 54-63 60-59 54-04 15.77 0.79 34-9 Dec. 10. 3.23.33-9 309. 14. 31-22 19-06 72-16 11.09 1.15 1.25 1.46 28 28-3 0.34 45 84. 50. 35-48 34-77 60-71 4.50 1.05 21-9 11. 4. 8.21-8 321. 44. 55-98 46-33 69-65 9.74 1.05 0.75 1.37 19 27-7 0.55 48 86. 0. 18-60 13-62 64-98 4.71 1.25 18-9 12. 4.51.25-3 334. 3.31-91 28-18 63-73 8.27 0.99 0.40 1.15 11 27-4 0.80 50 85. 23. 43-06 40-40 62-66 5.17 1.42 16-3 13. 5.33.29-1 346. 15. 28-72 30-64 58-08 6.74 0.97 0.25 0.86 08 27-0 1.08 52 85. 59. 32-29 30-47 61-82 6.86 l.-V 13-9 16. 7.41.57-8 23. 10. 37-75 35-61 62-14 2.50 1.20 0.81 0.07 20 26-1 1.94 51 88. 45. 16-99 18-69 58-30 8.97 1.88 8-7 17. 8.28. 15-0 35. 55. 14-05 14-23 59-82 1.42 1.37 1.33 0.00 30 25-8 2.20 49 89. 53. 28-23 30-19 58-04 10.24 1.90 7-8 18. 9. 17.21-3 49. 1.37-29 42-21 55-08 0.62 1.57 1.98 0.07 40 25-4 2.42 46 91. 3.42-13 46-92 55-21 11.55 1.88 7-4 20.11. 4.25-1 76. 30. 36-07 44-87 51-20 0.04 2.06 3. 52 0.56 53 24-4 2.74 38 93. 15. 19-53 24-39 55-14 13.97 1.68 8-7 21.12. 1.14-4 90. 52. 29-72 29-73 59-99 0.33 2.33 4.36 0.90 54 24-1 2.81 34 94. 7.42-67 42-53 60-14 14.93 1.51 10-4 21.12. 3.35-4 90. 53. 51-58 52-03 59-55 0.33 2.33 4.36 0.90 54 24-1 2.81 34 94. 7.46-95 46-84 60-11 14.93 1.51 10-4 23. 13.57.55-1 120. 29. 66-81 59-58 67-23 2.07 2. 82 5.92 1.42 42 23-5 2.79 24 95. 3. 29-08 25-91 63-17 15.91 1.07 15-6 24. 14. 53. 20-2 135. 30. 35-09 22-24 72-85 3.45 3.00 6.58 1.51 32 23-1 2.69 20 95. 1.13-52 17-74 55-78 15.84 0.84 19-2 27. 17. 30. 42-4 180. 4.57-08 52-86 64-22 8.56 3. 15 7.73 1.02 .08 21-8 2.11 11 93. 0.16-99 20-79 56-20 13.50 0.26 29-7 29. 19. 13. 39-6 1772. 208. 55. 62-65 57-60 65-05 11.66 2.87 7.63 0.40 11 21-1 1.57 08 90. 38.28-99 32-03 56-96 10.82 0.10 35-4 Jan. 8. 2. 46. 24-4 329. 1.21-45 11-01 70-44 9.20 1.02 1.59 1.46 33 17-8 0.02 33 85. 24. 26-36 26-15 60-21 5.01 1.37 32-4 13. 6. 19. 54-7 30. 14. 38-55 27-55 71-00 2.07 1.26 0.31 0.41 10 15-8 0.87 51 89.37.11-51 8-93 62-58 9.82 1.90 18-7 16. 8. 48. 54-5 69. 32. 37-54 36-48 61-06 0.06 1.90 1.59 0.01 35 14-9 1.73 52 92. 53. 48-91 53-90 55-01 13.54 1.73 11-0 28. 19. 49. 45-5 246. 37. 42-78 40-13 62-65 13.77 2.29 7.49 0.28 13 10-6 2.04 10 87. 13. 4-34 9-83 54-51 7.07 0.25 30-2 Feb. 11. 5. 47. 15-5 50. 23. 36-05 20-71 75-34 0.79 1.52 0.25 0.57 08 6-6 0.25 43 91. 39. 25 08 22-57 62-51 11.96 1.86 29"2 13. 7.29.31-5 76. 47. 35-42 27-00 68-42 0.03 1.99 0. 78 0.08 19 6-1 0.67 49 93. 37. 15-68 16-43 59-15 14.21 1.64 23-2 15. 9. 21. 10-2 105. 16. 14-13 7-67 66-46 0.80 2.52 1 V 83 0.06 39 5-6 1.23 52 94.52.21-55 25-86 55-69 15.68 1.26 16-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. jSub. Sub. 60-00 ? \ 2. 00 4.00 0*76 30 20-8 1.42 \\ 30 60-00 g J 10.21 \ \\ 1.00 23-7 [80] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .s .e-1 o* H Change forfls-ll in Argument. 3* if =ig. l Variation. Change for OS- ll in Argument. Annual Equation. Evection. Change forOs-ll in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. jl.a o.s- . "u D a . " -a " i * (3 2 Effect of Mean Inclination. Change for 08-1 in Argument. os ' Evcction in ci E. N. P. D. 1772. i h . Feb. 16.10. 18.40-5 Of" 120.18.65-15 tf 59-27 it 65-88 g v 1.77 \ \\ 2.76 2.66 g v 0.25 v\ 48 i 5-4 g " 1.52 v\ 53 Off 95. 3.46-99 tt 49-89 ti 57-10 g i 15.93 \ \\ 1.03 22. 15. 56. 20-9 213.32.11-38 13-03 58-35 11.34 2.91 7.09 1.47 22 4-0 2.79 36 89. 42. 59-07 67-69 51-38 10.06 0. 10 9-6 Mar. 14. 8. 2. 32'6 112.56.52-34 39-39 72-95 1. 13 2.61 0.97 0.03 24 0-7 0.30 44 95.10.21-20 26-86 54-34 15.88 1.12 29-9 20.13.41. 2-4 206. 5. 9-31 10-29 59-02 10.43 3.02 5.51 1.31 46 0-3 1.89 51 90. 15. 55-46 59-14 56-32 10.66 0.10 10-0 22. 15. 34. 45-9 236. 17. 43-72 45-47 58-25 12.93 2.61 6.83 1.51 27 o-i 2.39 46 87. 35. 15-13 23-54 51-59 7.72 0.19 7-5 23. 16. 30. 51-2 250.41.14-83 16-05 58-78 13.66 2.35 7.31 1.40 18 0-1 2.58 43 86. 30. 9-02 17-49 51-53 6.52 0.31 7-5 April 12. 7.41.18-4 136. 12. 35-87 30-77 65-10 2.72 2.92 0.75 0.09 19 0-5 0.01 32 95. 3.21-90 17-65 64-25 15.69 0.74 37-5 15.10.24. 3-8 182. 0.53-86 44-83 69-03 7.69 3.17 2.60 0.24 47 0-9 0.35 45 92. 23. 40-89 36-13 64-76 12.84 0.20 28-7' 17. 12. 19. 20-4 213.17. 7-21 11-27 55-94 10.98 2.96 4.24 0.86 54 1-1 0.82 50 89. 34. 58-18 70-25 47-93 9.80 0.10 21-2 22. 17. 0. 40-5 285.57.18-49 15-48 63-01 13.80 1.74 7.49 1.31 14 1-7 2.22 49 84.50. 4-93 9-07 55-86 4.64 0.80 8-3 25. 19. 21. 59-2 324. 22. 15-68 18-78 56-90 11.23 1.17 7.64 0.43 10 2-2 2.75 38 85. 13. 16-98 14-96 62-02 5.06 1.39 7-8 26.20. 5. 1-6 336. 39. 26-02 30-95 56-07 9.89 1.06 7.34 0.20 16 2-3 2.82 33 85. 48. 57-87 53-71 64-16 5.70 1.55 8-8 May 9. 5.35.51-4 131. 16. 39-02 43-21 65-81 1.93 2.79 0.22 0.75 07 4-8 0.49 13 95. 8. 0-83 0-60 60-23 15.78 0.79 38-2 11. 7.20. 5-8 160. 22. 27-46 34-89 52-57 4.86 3. 12 0.55 0. 19 15 5-2 0.14 20 93.55.47-41 48-30 59-11 14.44 0.39 40-0 12. 8. 12. 34-6 175.18.10-12 12-57 57-55 6.60 3.18 0.97 0.03 23 5-4 0.04 24 92. 53. 46 74 48-78 57-96 13.29 0.24 39-7 13. 9. 6. 1-7 190. 25. 28-74 32-91 55-83 8.35 3.15 1.55 0.01 34 5-6 0.00 29 91.39. 4-56 1-80 62-76 11.93 0. 14 38-7 14. 10. 0.56-4 205. 39. 51-38 59-98 51-40 10.03 3.06 2.23 0.13 43 6-1 0.02 34 90. 16. 46-38 44-46 61-92 10.42 0.10 36-7 15. 10. 57. 29-0 220.55. 9-05 14-64 54-41 11.51 2.89 3.00 0.37 50 6-3 0.09 38 88. 53. 20-95 18-47 62-48 8.90 0.12 34-3 16.11.55. 18-4 16.11.57.40-4 236. 3.42-45 236. 5. 6-48 47-96 13-43 54-49 53-05 12. 69 12.69 2.67 2.67 3.82 3.82 0.68 0.68 54 54 6-6 6-6 0. 22 0.22 42 42 87. 35. 22-84 87. 35. 16-53 18-93 12-04 63-91 64-49 7.49 7.48 0.21 0.21 31-1 31-1 June 8. 6. 8. 12-3 170. 24. 55-42 57-40 58-02 5.51 3.15 0.24 0.61 08 13-3 0.92 09 93. 6. 39-02 36-73 62-29 13.58 0.27 34-5 11. 8.46.31-6 214.40.59-95 75-11 44-84 10.62 3.00 1.21 0.00 28 14-2 0.25 17 89. 21. 56-41 52-43 63-98 9.37 0.11 39-7 12. 9.42.12-7 229. 29. 19-63 33-43 46-20 11.99 2.81 1.83 0.05 38 14-5 0. 11 21 88. 5. 1-55 5-09 56-46 7.96 0.17 40-0 15.12.34.51-2 273. 5.10-34 19-68 50-66 14.00 2.05 4.24 0.84 54 15-7 0.03 35 85. 21. 30-95 29-64 61-31 4.95 0.65 36-4 17. 14. 20. 27-8 300.37.41-14 3691 64-23 13.41 1.56 5.82 1.39 43 16-4 0.27 43 84. 55. 53-31 54-65 58-66 4.51 1.07 31-3 18.15. 8.59-3 313.49. 15-47 10-38 65-09 12.60 1.36 6. 49J 1.51 33 16-7 0.47 47 85. 8.22-39 29-21 53-18 4.77 1.28 283 22. 18. 3. 38-9 3.41.47-99 43-08 64-91 7.28 0.97 7.77, 0.76 07 18-2 1.54 53 88. 1. 11-89 14-56 57-33 8.07 1.84 16-8 23.18.46. 9-8 15.51.51-26 46-92 64-34 5.75 0.99 7.67 0.46 10 18-6 1.83 52 89. 3.30-92 26-42 64-50 9.25 1.89 14-3 24. 19. 29. 46-0 28. 6.39-86 41-66 58-20 4.27 1.05 7.39 0.21 16 18-9 2. 10 50 90. 8.37-27 35-67 61-60 10.48 1.90 12-2 Sub. 60"00 Sub. a \ 7.02 Sub. 2.00 Sub. Sub. Sub. Sub. 20-8 Sub. K <> 1.42 Sub. 9 30 Sub. 60-00 Sub. 10.2i Sub. i.ob Sub. 23-7 4.00 0.76 30 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [81] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Lxccss of Observed Longitude. gi- ll CT* WJ Change for 0'l in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. Annual Equation. Evcction. Change for Os-1 in Argument. Ecliptic N.P.D. of Woon's Center from Observation. Sf conds or Tabular Ecliptic N. P. D. a u =>!. . :S < -n . % > Z J 1 < c 2" gj S S 1 Change for OS- 1 in Argument. \* .2ft- u S /-. > . Cj- a 177 l > d h m s ' n it tr g * \ \ \v * v < g v O 1 II it // ' June 25.20. 15. 8' 8 40.32.27-88 25-51 62'37) 2.92 1. 16 6.95 0.07 25 19-2 2. 33 47 91. 13. 59-49 70-49 4900) 11.70 1.87 10-2 July 22. 18. 8. 33'6 35. 20. 40-34 40-37 59-97 3.74 1.08 7.74 0.62 08 28-3 1.03 52 91. 1.39-21 28-38 70-83 11.34 1.88 25-0 Aug. 8. 8.16.54-8 262. 45. 27-75 41-88 45-87 13.60 2.38 0.72 0.10 18 33-6 1.61 08 85. 35. 19-51 17-06 62-45 5.28 0.55 26-5 9. 9. 10. 41-0 276.30. 0-86 18-48 42-38 13.97 2.12 1.21 0.00 28 33-8 1.32 08 85. 7.24-97 26-03 58-94 4.73 0.75 29-7 10.10. 2.49-6 290. 0. 49-92 58-31 51-61 13.95 1.86 1.83 0.04 33 34-1 1.04 09 84. 56. 30-30 30-29 60-01 4.50 0.95 324 11. 10.52.51-5 303. 17. 4-49 13-10 51-39 13.56 1. 62 2.55 0.22 47 34-3 0.77 10 85. 2. 10-50 14-83 55-67 4.59 1. 16 35-0 12. 11. 40. 39-9 316. 18. 45'6() 52-28 53-32 12.83 1.41 3.35 0.49 52 34-6 0.53 13 85. 23. 30-16 30-68 59-48 4.96 1.36 37-0 13.12.28.29-9 329. 7. 13-77 12-84 60-93 11.81 1.24 4.18 0. 82 54 34-8 0.33 16 85. 58. 24-72 29-81 5491 5.60 1.53 38-6 14. 13. 12. 32-8 341. 41. 2-69 3-44 59-25 10.56 1. 10 5.00 1.14 51 35-0 0.17 20 86. 44. 42-99 46-14 56-85 6.45 1.68 39-5 17.15.20.29-9 18. 25. 31-63 30-58 61-05 6.12 0.98 7.02 1.49 24 36-0 0.01 33 89. 45. 21-66 13-00 68-66 9.79 1.90 39-4 19. 16. 48. 31-S 42. 47. 33-05 25-66 67-39 3.24 1. 13 7.69 1.09 09 36-4 0. 19 41 91. 53. 56-51 54-19 62-32 12.20 1.84 36-7 Sep. 6. 7.59.33-1 285. 52. 49-51 48-15 61-36 14.01 2.02 0.51 0.21 14 39-7 2.31 13 84. 49. 9-00 13-93 55-07 4.52 0.91 16-5 7. 8. 49. 42-5 299. 5.42-44 40-51 61-93 13.85 1.76 0.90 0.04 23 40-0 2.08 10 84.51.47-16 51-32 55-84 4.55 1.12 19-7 12. 12. 35. 30-4 1.58.28-31 29-76 58-55 8.59 1.00 4.53 0.97 53 40-5 0.71 11 88. 22. 57-75 57-20 6055 8.31 1.85 33-7 14. 14. 1. 2-9 26. 16. 33-70 32-68 61-02 5.54 0.99 6.07 1.45 39 40-7 0.29 17 90. 34. 62-09 55-31 66-78 10.73 1.90 37-5 15.14.45. 4-4 38. 25. 42-05 46-06 55-99 4.09 1.06 6.71 1.52 29 40-9 0. 14 20 91.40.20-54 14-51 66-03 11.92 1.86 38-8 19.17.57.12-5 88.45. 8-24 0-55 67-69 0.22 1.75 7.75 0.64 08 41-2 0.10 38 94. 54. 36-02 40-74 55-28 15.51 1.34 39-0 Oct. 12. 12.43. 01 34.25. 3-80 3-07 60-73 4.98 1.01 4.94 1.11 51 41-2 1.18 08 91.20.20-16 18-26 61-90 |ll. 67 1.87 26-3 13. 13. 28. 3-6 46.39. 11-21 12-23 58-98 3.56 1. 10 5.72 1.36 44 41-1 0.90 09 92. 23. 50-23 48-77 61-46 12.82 1.80 29-2 15.15. 2.40-6 71.30.46-13 41-23 64-90 1.27 1.40 6.98 1.50 25 41-0 0.43 14 94. 9.47-07 45-23 61-84 14.72 1.55 34-3 16. 15. 52. 6-2 84. 14. 20-64 17-62 63-02 0.52 1.61 7.42 1.36 16 40-8 0.24 18 94. 46. 61-09 55-84 65-25 15. 38 1.38 36-4 20. 19. 17.45-1 138. 27. 13-51 18-07 (55'44) 1.16 2.62 7.42 0.24 15 40-4 0.03 35 94. 33. 48-53 68-31 (4022 15.21 0.56 39-9 Nov. 1. 5.30.37-3 303. 22. 2-60 11-98 50-62 13.92 1.82 0.37 1. 10 10 38-6 2.55 43 84. 52. 31-41 33-12 58-29 4.68 1.23 9-8 2. 6. 18. 39-8 316.27. 0-11 4-71 55-40 13.48 1.59 0.24 0.80 07 38-4 2.70 39 85. 17. 22-44 23-33 59-11 5.15 1.42 8-5 3. 7. 4. 10-2 329. 9.48-96 57-47 51-49 12.70 1.38 0.27 0.49 09 38-2 2.80 35 85. 55. 30-22 35-14 55-08 5.87 1.58 7-7 4. 7. 47. 50-9 341.36. 12-27 18-39 53-88 11.65 1.22 0.48 0.22 14 38-0 2.83 31 86. 44. 29-42 34-98 54-43 6. 77 1.72 7-4 8. 10. 38. 38-0 30. 18. 43-02 32-02 71-00 5.91 0.98 2.83 0.31 49 37-0 2.42 14 90. 57. 41-72 41-45 60-27 11.41 1.88 11-3 11. 12.59.49-2 67.31. 12-52 10-89 61-63 1.88 1.29 5.29 1.24 48 36-4 1.67 08 93. 52. 25-51 20-71 64-80 14.56 1.58 18-7 13.14.39.32-5 93. 11.24-14 17-44 66-70 0. 3-2 1.69 6.67 1.52 30 36-0 1.11 C9 94. 59. 46-54 41-74 64-80 15.74 1.23 24-7 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. 60-00 7.02 2.00 4.00 0. 7C 30 20-8 f.42 30 60-00 10. 21 i.ob 23-7 GREENWICH LUNAR REDUCTIONS. [M] [82] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. lixcoss of Observed Loniritude. ll 1 11 cr fjj 0) Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os- 1 in Argument. Annual Equation. Evection. Change for O-'l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P.D. AJj O H. ':K ^~ u > Z si Effect of Mean Inclination. Change for ')] I in Argument. SX . .2^ utd 1772. " h "' " O ' 1 H H e \ V 8 \\ \ g O I II " II K ' \ \ . Nov. 16. 17. 12. 4- 133. 27. 30 0( ) 28-58 61-4 0. 6 2.4 7.7 0.9 08 35-0 0.3", 15 94. 44. 33-7S 38-41 55-26 15.3; 0.6 33-5 18. 18. 53. 46- 161.48. 1-9' ( 3'6 r 58-3 2. T, 2.9 7.6 0.3 11 34-5 0. OS; 23 93. 9.42-8S 47-92 54-9 is. 5 1 ; 0.2 38-0 19. 19. 45. 36- 176.29.36-11 32-86 63"2 4.27 3.0 7.2 0. 1 19 31 3 0.01 27 92. 0. 38-51 41-46 57-0 12. 2S 0. 16 39-4 1773. Jan. 3. 7.58.48- 45.24. 5-26 8-12 57-1 4.78 1.0 0.8 0. 06 21 19-1 2.4(1 45 92. 30. 28-58 30-01 58-5 13. OS 1.78 15-0 4. 8.45.24-9 57. 49. 48-76 52-19 56-5 3.38 1.1 1.3 0.00 31 18-8 2.63 41 93. 23. 23-9(1 23-40 60-50 14.08 1.66 12-6 5. 9.34. I'O 70. 31. 3-84 9-33 54-5 2. 15 1.2 2.03 0.08 41 18-5 2.70 37 94. 7. 17-30 15-54 61-76 14.92 1.5 10-5 9. 13. 4. 1-8 124. 24. 10-78 7-64 63-14 0.08 2.14 5.23 1.23 49 16-8 2.67 20 94. 42. 37-00 38-07 58-93 15.61 0.70 7-6 11.14.47.49-7 152. 49. 40-25 40-78 59-47 1.29 2.66 6.63 1.52 31 16-1 2.31 13 93. 19. 33-09 36-20 56-89 14.05 0.33 10-1 14.17.21.27-7 196. 15. 8-99 10-05 58-94 5.56 3.15 7.74 0.99 08 15-2 1.52 08 89. 48. 15-87 19-74 56-13 10.06 0. 10 18-2 29. 5. 8.22-8 28. 5.28-82 23-12 65-70 7.24 0.97 0.29 0.99 09 10-3 0.92 51 91.21.40-35 44-29 56-06 11.61 1.87 33-5 Feb. 2. 8. 13.48-8 77. 38. 54-48 54-05 60-43 1.74 1.31 1.09 0.01 25 8-9 2.06 50 94. 37. 41-44 45-75 55-69 15.35 1.39 22-4 3. 9. 4.38-1 90. 42. 62-52 57-97 64-55 0.84 1.50 1.68 0.02 30 8'6 2. 3d 48 94. 59. 28-67 29-33 59-34 15.79 1.20 19-4 10.15.17.13-1 191. 26.26-71 27-46 59-25 4.61 3.10 6.91 1.50 26 6-6 2.63 19 90. 0.50-1-2 52-52 57-60 10.40 0.10 7-8 11. 16.10.38-8 206. 19. 12-51 12-99 59-52 6.23 3. 17 7.37 1.38 17 6-3 2.46 15 88.41.12-75 15-11 57-64 8.92 0.12 8-9 25. 3. 3. 19-9 23. 9.41-05 43-57 57-48) 8.19 0.98 1.25 1.46 28 3-2 0.04 35 91. 6.59-64 42-89 (7675) 11.27 1.89 39-9 28. 5. 17. -24-1 59. 44. 19-67 469 74-98 3.71 1.09 0.25 0.85 08 2-7 0.48 47 93. 56. 42-40 38-75 63-65 14. 42 1.61 38-6 Mar. 2. 6.53.46-9 84.48.57-88 47-17 70-71 1.36 1.38 0.44 0.26 13 2-4 0.99 52 95. 2. 2-28 1-80 60-48 15.67 1.27 35-2 3. 7. 44. 16-6 97. 49. 63-19 51-18 72-01 0.68 1.58 0.81 0.07 20 2-2 1.28 53 95. 13. 53-96 53-90 60-06 15.92 1.07 32-9 7. 11. 15. 6-2 54. 15. 66-46 57-16 69-30 1.06 2.60 3.52 0.58 53 1-6 2.36 47 93. 7.24-00 26-10 57-90 13.72 0.29 19-9 11. 14.56.42-1 215. 29. 32-60 34-94 57-66 6.90 3.18 6.63 1.52 31 1-1 2.83 30 87. 46. 43"25 54-43 48-82 7.90 0.18 8-8 12. 15. 53. 32-4 30.41. 12-49 15-37 57-12 8.66 3.14 7.16 1.46 21 0-9 2. 81 26 86. 35. 55-46 7215 43-31 6.61 0.30 7-7 29. 4.46.48-4 79. 49. 64-83 52-91 71-92 2.00 1.27 0.30 1.01 09 o-o 0.06 36 94.57. 6-43 27-05 39-38 5.56 1. 32 39-5 30. 5.35.41-0 92. 27. 34-37 27-05 07-32 1.04 1.45 0.22 0.70 07 o-o 0. 17 41 95. 14. 30-49 50-92 39-57 5.87 1. 13 39-9 April 1. 7. 16. 15-3 18.41.58-32 54-20 64-12 0.05 1.91 0.60 0.15 16 o-o 0.54 48 J5. 2. 5-47 24-88 40-59 15.65 0.72 39-2 4. 9.52.21-7 61.24.24-49 11-23 73-26 1.42 2.69 2.33 0. 16 45 o-i 1.36 53 J2. 35. 42-64 33-33 69-31 3.00 0.21 33-3 6. 11.41.21-4 92. 4.52-24 47-57 64-67 4.10 J. 06 3.94 0.73 54 0-2 1.93 51 89.51.59-08 60-64 58-44 0.04 0.10 26-3 9. 14. 38. 12-4 39. 12. 21-97 19-48 62-49 9.31 J. 11 6.27 1.49 36 0-3 2.61 42 86. 1.35-99 43-88 52-11 5.90 a. 41 15-2 30. 6.49.20-5 40. 29. 13-00 7-83 65-17 0.24 I. 27 0.42 0.27 12 2-9 0.08 38 93. 59. 51-33 48-25 63-08 4.51 3.41 39-1 May 1. 7.39.54-7 54.31.14-07 1-08 72-99 0.85 I. 53 0.78 0.07 20 3-1 0. 21 42 J3. 3.34-19 31-72 62-47 3.46 9.26 J9-9 Sub. 60-00 Sub. f \ 7.02 Sub. Sub. Sub. Sub. Sub. 20-8 Sub. tf \ 1.42 Sub. 30 Sub. 60*00 Sub. 0. 21 Sub. I. 00 Sub. 23-7 J. 00 4.00 0. 76 30 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [83] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. O **' 11 w g Change for O'"l in Argument. Parallactic Inequality. Variation. Change for 0-1 in Argument. Annual Equation. Evection. Change for Os-J in Argument. Ecliptic N.P D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. 1 O ?ft en "O u a, ^ X U -7, Effect of Mean Inclination. Change for OB- 1 1 in Argument. e . to !&' W W 1773. J h "' ' O 1 II << " e * \ \\ \ \\ r \ i " ' II ' s v X VV > May 3. 9. 24. 25'9 183. 59. 66-83 53-70 73-13 3. 15 2.97 1.93 0.07 40 3-4 0.61 48 90.34.26-3621-42 64-94 10.71 0. 10 39-2 5. 11. 16.46-1 215. 7.48-85 54-99 53-86 6.46 3.17 3.52 0.56 53 3-8 1.14 52 87. 48. 28-04 26-22 61-82 7.68 0.19 35-2 6. 12. 18.43-6 231. 2.28-09 34-66 53-43 8.23 3.16 4.36 0.89 54 4-2 1.44 53 86. 35. 49-42 57-04 52-38 6.37 0. 34 32-0 11. 17. 10. 35-3 306. 26. 34-95 28-08 66-87 13.93 2.17 7.51 1.29 13 5-2 2.65 41 85. 21. 64-08 66-8-2 67-26 5.10 1.42 14-6 12. 18. 0. 34-3 320. 1.26-20 28-37 57-83 13.99 1.91 7.73 1.02 08 5-4 2.77 37 86. 2.26-92 22-83 64-09 5.93 1.60 12-2 28. 5. 34. 14-9 149. 23. 48-69 49-63 59-06 0.42 2.37 0.22 0.72 07 9-6 0.12 21 93.14.20-15 13-50 72-65 13.76 0.29 30-2 30. 7. 14. 9-3 177.34.64-81 58-01 66-80 2.30 2.85 0.57 0.17 15 10-4 0.00 30 90. 59. 10-36 3-62 66-74 11.21 0.11 35-8 June 1. 9. 0. 32-5 207.24.02-12 53-02 69-10 5.36 3.14 1.59 0.01 35 11-0 0. 11 39 88.21.49-19 38-53 70-66 8.26 0.15 39-3 2. 9.57.32-9 222.53.25-12 23-63 61-49 7.13 3.18 2.28 0. 14 44 11-3 0.25 43 87. 8.20-31 8-34 71-97 6.88 0.27 40-0 3. 10. 57. 6-2 238. 35. 39-02 40-91 58-11 8.88 3.13 3.06 0.39 51 11-5 0.44 46 86. 6.50-66 38-05 72-61 5.75 0.44 39-8 4.11.58.19-7 254. 20. 56-83 53-29 63-54 10.51 3.01 3.88 0.72 54 11-8 0.68 49 85. 22. 53-58 44-32 09-26 4.95 0.65 38-7 4.12. 0.46-1 254. 22. 37-23 38-24 58-99 10.51 3.01 3.88 0.72 54 11-8 0.68 49 85. 22. 49-65 40-56 69-09 4. 94 0.65 38-7 5. 13. 2. 8-3 269. 58. 55-42 54-91 60-51 11.91 2.83 4.71 1.05 62 12-4 0.94 51 84. 59. 55-41 57-45 57-96 4.54 0.89 36-7 8. 15. 51. 55"5 314. 15. 29-60 28-13 61-47 14.00 2.07 6.87 1.51 27 13-3 1.81 52 85. 55. 46-30 39-00 67-30 5.66 1.54 27-8 10. 17.28.33-5 341. 7.60-06 59-42 60-64 13.46 1.58 7.64 1.17 11 13-9 2.33 47 87. 43. 56-55 50-82 65-73 7.72 1.81 21-4 12. 18. 56. 46-2 6. 23. 25-40 18-59 66-81 11.62 1.21 7.72 0.56 08 14-6 2.68 40 89.53.22-11 18-62 63-49 10.17 1.90 15-9 23. 2. 43. 12-5 131.48. 73-10 56-29 76-81 0.04 1.95 1.33 1.46 29 18-2 1.43 08 94. 5. 6-91 1-60 65-31 14.87 0.48 11-8 26. 5. 10. 30-3 i 72. 52. 25-23 26-88 58-35 1.57 2.72 0.26 0.89 08 19-2 0.62 12 91. 8.62-06 53-27 58-79 11.53 0.12 20-4 July 3.11.41.50-5 277. 38. 59-77 59-38 60-39 12.35 2.74 3.46 0.54 53 21-8 0. 15 40 84. 59. 28-21 28-16 60-05 4.50 1.03 39-7 6. 14.31. 10-2 21.37.42-20 40-17 (62'03) 14.01 1.97 5.87 1.41 42 23-0 0.75 50 86. 32. 59-54 36-46 (83-08) 6.24 1.65 38-3 11.18. 19. 18-0 26. 14. 22-26 11-24 71-02 9.81 1.05 7.77 0.73 07 24-6 2.15 49 91.51.23-16 29-95 53-21 12.27 1.84 26-5 12. 19. 3. 8-0 38.26.34-65 20-11 74-54 8.35 0.99 7.64 0.43 10 24-9 2.38 47 92. 48. 29-67 48-34 41-33 13.35 1.75 23-7 30. 9. 28. 25-4 271. 8. 4-05 10-18 53-87 11.59 2.88 1.55 0.01 34 30-9 0.18 19 84. 54. 16-39 32-16 44-23 4.50 0.95 28-5 Aug. 3. 13. 10. 7-5 329. 1. 42-34 28-50 73-84 13.97 1.88 4.71 1.03 52 32-0 0.07 37 87. 9.33-85 47-78 46-07 6.92 1.74 38-7 5. 14. 44. 52-4 355. 47. 14-79 2-22 72-57 12.90 1.42 6.22 1.48 38 32-5 0.35 45 89. 23. 46-81 47-29 59-52 9.40 1.89 40-0 7. 16. 13.50-9 21. 9.41-31 23-43 77-88 10.68 1.11 7.31 1.41 18 33-3 0.81 50 91.39.14-33 14-01 60-32 11.92 1.86 38-9 9. 17.42.19-2 45.44. 6-05 9-08 (56-97) 7.77 0.98 7.76 0.90 07 33-8 1.38 53 93. 32. 78-26 33-45 (104-81) 14.04 1.67 35-9 10. 18.27.44-8 57.57.41-51 44-88 (56-63) 6.24 0.98 7.73 0.58 08 34-1 1.67 52 94. 15. 79-03 3327 (105-76) 14.86 1.52 33-9 11. 19.14.25-3 70. 16. 16-45 20-73 (55-72) 4.74 1.02 7.63 0.31 13 34-3 1.95 51 94. 47. 56-63 4-16 (112-47) 15. 46 1.36 31-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4.00 6.76 30 20-8 1.42 30 GO" 00 10.21 i. oo 23-7 1773, Aug. 9, 10, 11, 12. By an examination of the Sun's Zenith Distances, it appears that the Quadrant was out of adjustment on these days. [M] 2 [84] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. if! _c Change for 0*1 1 in Argument. Para 1 lactic Inequality. Variation. ChangeforOs-l 1 in Argument. _ c * 3 c "i c = Evection. Change for OS- 1 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. J>-H O.S- - Effect of Moan Inclination. Clwnifeforlie-1 I in Argument. KS3 1773. Aug. 12.20. 2.27-4 / " 82.45. 3-38 tr 1-64 ft (61-74) S " 3.34 1.12 7.16 0. 12 21 34-6 g * 2.21 49 O / If 95. 5.83-78 ft 29-68 (Ill-Hi g " 15.83 1.17 28-7 24. 5.27.38-3 236. 44. 45-83 40-44 65-39 7.37 3. 18 0.26 0.90 08 37-4 1.84 09 85. 43. 35-38 29-78 65-60 5.60 0.47 8-7 27. 8.18.23-7 280. 43. 25-82 35-78 50-04 12. 07 2.80 0. 75 0.09 19 38-0 0.99 09 84. 50. 18-08 16-85 61-23 4.55 1.12 15-6 28. 9. 14. 3-7 295. 7. 6-44 12-59 53-86 13. 10 2.56 1.25 0.00 29 38-2 0.73 11 85. 11.59-37 59-43 59-94 4.92 1.34 18-9 29.10. 7.44-0 309. 17. 25-89 35-00 50-89 13.75 2.30 1.88 0.05 39 38-3 0.49 13 85.51. 9-61 6-45 63- 1( 5.62 1.53 22-2 31.11.48. 8-5 336.49. 0-09 1-52 58-57 13.87 1.78 3.41 0.53 53 38-8 0.14 20 87.47.56-31 50-24 66-07 7.7'- 1.81 28-7 31.11.48. 8-5 336.49. 3-74 1-52 62-22 13.87 1.78 3.41 0.53 53 38-8 0. 14 20 87.47.47-11 50-24 56-87 7.72 1.81 28-7 Sep. 4. 14. 51. 55-9 28. 23. 47-63 39-70 67-93 10.16 1.07 6.49 1.51 33 39-4 0.09 38 92.22.51-11 44-75 66'3< 12.73 1.81 38-0 6.16.21.28-9 52. 58. 44-82 33-33 71-49 7.20 0.97 7.47 1.32 14 39-8 0. 40 46 94. 7.36-35 18-16 78-1! 14.64 1.57 39-8 10.19.31.44-2 102.41.32-29 28-40 63-89 1.70 1.32 7.37 0.20 16 40-3 1.45 53 95. 10. 28-76 42-64 46-12 15.84 0.83 37-3 11.20.21.38-3 115.42.56-89 57-55 59-34 0.82 1.51 6.91 0.07 25 40-4 1.74 52 94. 48. 55-27 68-03 47-24 15.45 0.64 35-4 22. 5. 16. 55-7 261. 45. 34-45 34-24 60-21 9.76 3.08 0.33 1.06 10 41-4 2.48 15 84.47. 8-58 7-57 60-96 4.58 0.85 7-7 24. 7. 9.41-1 290.42. 7-92 2-53 65-39 12.51 2.71 0.30 0.44 09 41-5 2.03 10 84. 59. 58-95 56-OC 62-95 4.82 1.30 7-9 27. 9.43.11-4 331. 57. 59-96 54-68 65-28 14.00 1.94 1.55 0.01 34 41-5 1. 19 08 87. 22. 43-52 48-K 55-42 7.41 1.79 12-9 28.10.30.10-1 345. 10 56-40 49-05 67-35 13.73 1.69 2.23 0. 13 43 41-6 0.92 09 88. 30. 7-07 7-60 59-47 8.64 1.87 15-4 29. 11.15.44-2 358. 9.30-50 27-20 63-30 13.10 1.47 3.00 0.37 50 41-6 0.66 11 89. 40. 60-20 55-69 64-51 9.93 1.90 18-4 Oct. 2.13.31.17-6 35. 55. 43-09 39 66 63-43 9.63 1.04 5.45 1.29 47 41-6 0.11 21 92.59. 3-59 4-35 59-24 13.50 1.74 27-3 3. 14. 16. 12-0 48. 13. 43-26 39-55 63-71 8. 15 0.98 6.17 1.47 38 41-6 0.03 26 93. 50. 42-26 37-45 64-81 14. 42 1.61 29-9 4.15. 1.48-6 60.27.43-61 38-40 65-21 6.61 0.97 6.79 1.51 28 41-6 0.00 30 94. 31. 18-84 18-99 59-85 15. 15 1.45 32-4 5. 15. 48. 15-0 72.41. 18-27 8-38 69-89 5.09 1.01 7.28 1.42 19 41-5 0.03 35 94.59.40-19 38-37 61-82 15.66 1.28 34-7 10. 19.50.39-1 136. 16. 26-69 22-27 64-42 0.12 1.83 7. 16 0. 13 20 41-3 0.95 51 93. 44. 40-52 49-00 51-52 14.21 0.36 39-9 21. 5. 4.41-6 286. 8.48-65 50-23 5S-42 11.78 2.85 0.46 1.20 12 40-4 2.81 26 84. 56. 29-52 23-52 66-00 4.72 1.25 12-2 23. 6. 51. 49-3 314.21.46-55 45-53 61-02 13.64 2.36 0.24 0.60 08 40-0 2. 61 18 86. 10. 24-79 21-51 63-28 6. 13 1.63 8-6 25. 8.28. 11-0 341. 2. 9-62 0-27 69-35 13.94 1.84 0.72 0. 10 19 39-8 2.21 12 88. 11. 2-41 0-97 61-44 8.38 1.85 7-4 26. 9. 13. 32-4 353. 55. 60-51 49-81 70-70 13.53 1.61 1.21 0.00 28 396 1.96 10 89. 19. 30-08 30-51 59-57 9.64 1.90 7-8 28. 10.41.49-3 19. 8. 10-51 1-16 69-35 11.75 1.23 2.55 0.23 47 39-4 1.41 08 91.35.37-18 36-33 60-85 12. 14 1.85 10-1 29. 11.25.52-8 31.31,62-04 56-25 65-79 10.50 1. 10 3.35 0.50 52 39-2 1.12 08 92. 37. 7-83 5-45 62-38 13.25 1.76 11-8 30. 12. 12. 32-1 43.51.42-40 41-43 60-97 9.08 1.01 4.18 0.83 54 39-1 0.85 10 93. 30. 45-58 43-51 62-07 14.22 1.64 14-1 31. 12. 57. 53-6 56. 7. 10-94 7-02 63-92 7.66 0.97 5.00 1. 15 50 38-7 0.60 12 94. 14. 13 98 11-52 62-46 15.00 1.49 16-5 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0*. 76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. S V 10. 21 Stib. i. oo Sub. 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [8.5] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Taliular Longitude. Excess of Observed Lonsitude. Elliptic Inequality. Change for Os-1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. Annual Equation. Erection. Change for Os- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. rt -8=30 ~z * * &x Effect of Mean Inclination. Change for Os-1 1 in Argument. J- O f / / > ^ 1773. d " '" ' O I // // it a v \ \\ \ \v * v \\ X g v r i II g v > > I Nov. 1.13.44. 5-2 68. 21. 10-00 5-20 64-80 6.03 0.98 5.77 1.39 43 38-6 0.39 15 94. 45. 52-96 50-23 62-73 15.56 1.32 19-2 4. 1C. 0.23-9 105.18.22-74 15-23 67-51 1.96 1.28 7.44 1.34 15 38-0 0.02 27 94.59. 7-69 13-52 54-17 15. 71 0.75 27-8 7. 18.30.43-9 143. 52. 16-39 18-04 58-35 0.05 1.92 7.67 0.47 10 37-4 0. 15 40 93. 4.56-25 59-59 56-66 13.51 0.26 35-0 9. 20. 9. 25-0 171. 29. 12-23 12-52 59-71 0.59 2.44 0.95 0.08 24 36-8 0.51 47 90.48.41-13 42-80 58-33 10.95 0.11 39-0 19. 4.40. 7-2 309.26. 7-58 20-79 46-79 13.22 2.53 0.63 1.31 16 34-5 2.72 39 86. 4. 15-43 11-86 63-57 5.90 1.59 21-2 22. 7. 12. 23-7 349. 55. 59-87 52-47 07-40 13.82 1.75 0.29 0.40 09 33-8 2. 80 25 89. 7.56-27 53-31 62-96 9.39 1.89 12-6 23. 7. 50. 55-7 2. 40. 18-06 10-00 68-06 13.28 1.52 0.53 0.20 14 332 2.71 21 90. 15. 40-00 48-28 57-72 10.66 1.90 10-5 26. 10. 8. 18-7 39.48. 11-60 1-22 70-38 9.97 1.06 2.18 0. 11 43 32-4 2.15 11 93. 10. 14-24 16-26 5798 14.03 1.67 7-5 27. 10. 53. 10-5 52. 2.11-80 2-03 69-83 8.51 0.99 2.94 0.34 50 32-1 1.89 09 94. 0.37-10 36-27 60-83 14.85 1.53 7-5 29. 12. 27. 58-8 76. 33. 13-07 10-90 62-17 5.45 1.00 4.59 0.98 53 31-6 1.33 08 94. 54. 17-90 14-24 03-60 15.82 1.17 9-0 Dec. 4. 10. 20. 30-0 139. 12. 37-98 45-37 52-61 0.19 1.77 7.60 1.23 12 29-8 0. 17 19 93. 9. 59-00 60-69 58-31 13.77 0.29 20-2 8. 19. 40. 53-9 193.51.43-71 38-00 05-71 1.87 2.78 7. U 0.14 19 28-3 0.07 37 88. 37. 2-Or 4-59 57-47 8.58 0.14 32-9 18. 4. 19. 32-2 331.27.54-88 59-65 55-23 13.94 2. 16 0.87 1.40 21 25-1 2.23 48 87. 50. 48-29 42-82 05-47 7.76 1.81 31-1 20. 5. 54. 9-6 358. 11.3975 45-97 53-78 13.60 1.66 0.27 0.94 08 24-4 2.63 42 90. 7. 45-87 48-70 57-11 10.30 1.90 25-0 22. 7.22.32-8 23.25.28-65 25-44 63-21 12. 02 1.27 0.37 0.33 11 23-8 2.82 33 92. 16. 10-49 12-17 58-32 12.80 1.80 19-2 27. 11. 9.57-3 84. 43. 39-54 37-10 62-44 4.89 1.02 3.29 0.48 52 21-8 2.32 13 94. 59. 42-89 43-20 59-09 15.93 1.03 8-7 29.12.48.41-4 109. 43. 65-48 59-27 66-21 2.22 1.24 4.94 1.13 51 21-1 1.82 09 94. 33. 52-79 43-30 69-49 15.46 0.64 7-4 30. 13.30.57-8 122.25. 1-79 363 58-16 1.21 1.41 5.72 1.37 44 20-8 1.54 08 93. 59. 51-97 50-33 61-64 14.83 0.47 7-6 31. 14.24. 50-2 135. 14. 49-57 52-20 57-37 0.48 1.62 6.40 1.50 34 20-5 1.26 08 93. 13.21-39 22-92 58-47 13.90 0.32 8-3 1774. Jan. 1. 15. 12. 16'1 148. 14. 48-02 51-09 56-93 0.09 1.80 6.98 1.49 24 19-8 0.98 09 92. 16. 6-78 9-09 57-09 12.89 0.20 9-7 3. 10. 46. 58-9 174. 54. 38-35 45-41 52-94 0.44 2.38 7.69 1.10 09 19-1 0.49 13 89. 59. 46-93 46-42 60-51 10.32 0. 10 13-9 4. 17. 35. 24-3 188. 40. 57-20 58-87 58-33 1.21 2.64 7.78 0.79 07 18-8 0.29 17 88.47. 17-71 14-75 62-96 8.95 0. 12 16-8 5.18.25.31-2 202. 49. 17-32 12-30 05-02 2.33 2.86 7.69 0.49 09 18-5 0.14 20 87. 37. 15-27 12-01 63-20 7.62 0.20 19-9 18. 5.17.59-7 18.31.54-52 54-78 59-74 12.65 1.37 0.35 1.09 10 13-9 2.04 50 92. 8.39-92 39-59 60-33 12.48 1.83 34-9 19. 0. 2. 20-8 31. 5. 12-79 8-43 64-30 11.59 1.21 0.23 0.79 07 136 2.29 48 93. 6. 13-03 19-49 53-54 13.57 1.73 32-4 20. 6. 46. 54-7 43. 26. 1-48 1-88 59-00 10.31 1.08 0.28 0.48 09 13-3 2.50 44 93. 54. 13-23 17-16 56-07 14.49 1.60 29-9 21. 7.31.55-9 55. 40. 20-47 26-66 59-81 8.87 1.01 0.51 0.22 14 13-0 2.66 41 94. 30. 54-05 61-88 52-17 15.20 1.44 27-3 23. 9. 4.47-8 80. 10. 20-58 21-00 58-98 5.82 0. 99 1.46 0.00 32 12-4 2.83 32 95. 6. 9 15 10-15 59-00 15.91 1.07 21-4 24. 9.52.41-2 92. 33. 59-41 57-95 61-46 4.34 1.05 2.13 0. 10 42 11-8 2.82 27 95. 2.48-95 49-14 59-81 15.88 3. S& 18-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4.00 0. 70 \\ 30 20-8 K \ 1.42 30 60-00 ? \ 0. 21 X \\ 1.00 23-7 [86] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. K W .tS '^1 CT 3 M Change for 0-"1 1 in Argument. Parallactic Inequality. Variation, Change for 0?-1 1 in Argument. Annual Equation. Erection. Change for fls- 1 1 in Argument. 1 Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. 5-s C a. . :'K A TT a- u 5r u > ^ x W & Effect of Mean Inclination. Change forO?'l 1 in Argument. i* S^ i2 tj 1774. Jan. 26.11.30. 2-8 o t 11 117.51.12-79 gf 8-63 ri 04-16 g " 1.81 \ u 1.30 \ \\ 3.70 g " 0.63 \\ 54 i 11-2 g 2.64 19 Off/ 94. 12. 42-82 // 42-13 // 60-69 v 15.01 0.51 13-3 27. 12. 20. 55-4 ISO. 48. 3-0(5 5-91 57-75 0.89 1.49 4.53 0.96 53 10-9 2.48 15 93. 26. 60-72 58-46 62-26 14. 19 0.35 11-2 28. 13. 9. 19-0 143. 55. 43-39 49-58 53-81 0.29 1.71 5.34 1.25 48 10-6 2.27 12 92. 29. 43-49 36-10 67-39 13.14 0.23 9-4 29.13.57.24-1 157. 15.26-44 30-00 56-44 0.03 1.96 6.07 1.45 40 10-3 2.02 10 91.23.15-59 5-52 70-07 11.92 0.14 8-1 Feb. 1. 16. 23. 5-1 198.29.43-54 50-60 52-94 1.59 2.73 7.58 1.24 12 9-2 1.19 08 87. 44. 50-89 43-96 66-93 7.88 0. 18 8-2 17. 5.25.51-3 50. 40. 41-44 38-02 63-42 9.79 1.05 0.28 0.96 08 5-0 1.55 52 94. 27. 52-38 58-47 53-91 15.02 1.49 39-2 18. 6.11.37-0 62. 58. 9-04 9-84 59-20 8.31 0.99 0.23 0.65 07 4-8 1.84 52 94.57. 2-05 3-18 58-87 15.57 1.31 38-0 20. 7.45.25-0 87.31.16-60 20-22 56-38 5.25 1.00 0.66 0.12 17 4-4 2.35 47 95. 13. 39-69 44-43 55-26 15.92 0.94 34-5 21. 8.33.28-0 99. 56. 51-52 50-15 61-37 3.81 1.08 1. 13 0.01 27 4-2 2.55 44 95. 0.13-46 23-44 50-02 15.70 0.74 32-0 22. 9.22. 0-5 112.33.44-68 46-58 58-10 2.51 1.20 1.73 0.03 37 4-0 2.70 40 94. 32. 23-20 26-12 57-08 15.21 0.56 29-2 23. 10. 10. 50-8 125.25.14-02 11-92 62-10 1.43 1.37 2.44 0.19 46 3-8 2.79 35 93. 50. 18-45 21-52 50-93 14.46 0.40 26-5 24. 10. 59. 45-3 138.33. 5-74 3-33 62-41 0.63 1.57 3.23 0.46 52 3-4 2.83 31 92. 55. 25-06 21-96 63-10 13.47 0.26 23-2 25.11.48.39-9 151. 58. 10-98 9-98 61-00 0.15 1.80 4.06 0.79 54 3-2 2.81 26 91. 49. 28-69 33-41 55-28 12.29 0. 10 20-2 28. 14. 19. 19-9 193. 51. 20-35 23-39 56-96 0.99 2.58 6.36 1.50 35 2-7 2.42 14 88. 2. 58-01 56-23 61-78 8.17 0.16 11-5 Mar. 1.15.10.40-9 208. 15. 10-77 14-72 56-05 2.03 2.81 6.95 1.50 25 2-5 2.20 12 86. 53. 18-40 19-67 58-73 6.91 0.27 9-4 2. 16. 3. 38-8 222. 48. 37-07 38-96 58-11 3.40 3.00 7.39 1.36 16 2-4 1.95 10 85.54.51-45 55-97 55-48 5.83 0.42 8-1 4. 17. 54. 50-7 252.14. 5-90 6-19 59-77 6.75 3. 18 7.78 0.81 07 1-9 1.39 08 84. 47. 47-27 48-91 58-36 4.59 0.84 7'6 20. 6. 25. 16-6 94. 40. 54-28 56-78 57-50 4.69 1.03 0.27 0.50 08 0-3 1.34 53 95. 9.21-71 31-49 50-22 15.79 0.80 40-0 21. 7.13. 8-5 107. 5.26-68 30-98 55-70 3.29 1.12 0.48 0.23 13 0-2 1.63 52 94. 47. 26-54 38-70 47-84 15.39 0.62 39-8 24. 9.38.15-8 145. 46. 51-27 51-54 59-73 0.41 1.65 2.08 0.09 41 o-i 2.40 46 92.21.20-16 21-77 58-39 12.73 0.19 35-8 25. 10. 27. 15-0 159. 21. 59-70 59-27 60-43 0.06 1.89 2.83 0.31 49 o-i 2.59 43 91. 10. 30-67 43-33 47-34 11.44 0.12 33-3 26. 11.16.53-2 173. 20. 35-44 36-83 58-61 0.10 2.15 3.64 0.61 53 0-1 2.73 39 89. 53. 48-66 58-45 50-21 10.04 0. 10 30-4 27.12. 7.33-8 187.41.47-34 44-65 62-69 0.52 2.42 4.47 0.94 53 o-o 2.81 34 88. 35. 37-90 39-77 58-13 8.62 0. 14 27-0 27.12. 9.46-7 187.43. 0-40 2-19 58-21 0. 52 2.42 4.47 0.94 53 o-o 2.81 34 88.35.32-99 32-90 60-09 8.62 0.14 27-0 28. 13. 1. 56-1 202. 23. 40-39 41-99 58-40 1.34 2.67 5.29 1.24 48 o-o 2.83 29 87. 20. 58-00 66-59 51-41 7.27 0.23 23-5 29. 13. 55. 51-9 217. 19. 0-05 0-67 59-38 2.52 2.89 6.02 1.44 40 o-o 2.80 25 86.16. 7-60 16-29 51-31 6. 11 0.38 19-9 30. 14. 51. 40-7 232. 22. 58-46 53-70 64-76 3.99 3.05 6.67 1.52 30 o-o 2.71 21 85.26. 2-66 16-63 46-03 5.21 0.57 10-5 31. 15. 49. 5-7 247. 28. 55-49 44-15 71-34 5.66 3.15 7.19 1.45 20 o-o 2.56 17 84.55. 0-19 6-37 53-82 4.66 0.79 13-3 April 2. 17.45.37-1 277.22.11-55 8-47 63-08 9.17 3.12 7.74 0.97 08 o-o 2.13 11 84. 55. 55-83 63-07 52-76 4.72 1.25 9-0 Sub. 60 /: 00 Sub. 7.02 Sub. Sub. Sub. Sub. Sub. 20-8 Sub. g \ 1.42 Sub. 30 Sub. 60-00 Sub. 10. 2i Sub. i. oo Sub 23-'1 2.00 4.00 0.76 30 " SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [87] Greenwich H O fcS r JD Ecliptic a. jb .2 T Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observe< Longitude. , " ffl J3 ~ c O OJ U-, c Parallactic Inequality a o I c Change for in Argument Annual Equation. Evection. Change for C in Argument N. P. D. of Moon's Center from Observation . Seconds of Tabular Ecli N. P. D. O a. ,K -^ (ft Effect of Mean Inclination Change for in Argument 1 ww 1774. d h '" ' O f ff it " g K g > O ' f " // e ^ V > K ^ * April 18. 5.53.23-5 114.23.27-59 29-31 58-28 2. 81 1.17 0.23 0.67 07 1-1 0.59 48 94. 21. 42-83 50-57 52-26 14.96 0.50 36-3 19. 0.40.50-9 126.56. 2-39 4-60 57-79 1.68 1.32 0.34 0.37 10 1-2 0.84 51 93. 38. 63-01 58-62 64-39 14.15 0.35 38-0 20. 7.28.22-3 139. 44. 35-98 39-70 56-22 0.80 1.51 0.63 0.13 17 1-4 1.12 52 92. 44. 15-68 23-86 51-82 13.13 0.23 39-2 21. 8. 10. 11-1 152. 54. 23-91 23-07 60-84 0.23 1.74 1.09 0.01 26 1-5 1.41 53 91. 39. 46-71 47-52 59-19 11.93 0. 14 39-9 22. 9. 4.40-4 166.29.43-65 44-Ofa 59-59 0.03 1.99 1.68 0.03 36 1-6 1.70 52 90. 27. 37-23 39-79 57-44 10.58 0.10 39-9 23. 9. 54. 20-4 180.33.39-12 38-55 60-57 0.21 2.25 2.38 0. 18 45 1-7 1.98 51 89.11.31-02 33-13 57-89 9.18 0.11 39-4 24. 10.45.44-7 195. 6.43-94 44-94 59-00 0.79 2.52 3.17 0.44 52 1-9 2.23 48 87.56. 7-42 8-38 59-04 7.79 0.18 38-0 25. 11.39. 24-0 210. 6.38-44 38-97 59-47 1.74 2.76 4.00 0.77 54 2-0 2.46 45 86.47. 0-23 4-81 55-42 6.53 0.31 35-9 27. 13. 36. 31-0 241. 2. 10-70 9-96 60-74 4.60 3. 10 5.67 1.35 45 2-5 2.76 37 85. 11. 4-71 11-61 53-10 4.80 0.71 29-7 May 3.19.18.57-4 330. 16. 10-39 2-68 67-71 13. 42 2. 40 7.70 0.51 09 3-4 2.30 13 88. 10. 55-08 67-15 47-93 8.31 1.85 10-4 10. 4. 35. 23-7 122. 9. 0-70 4-46 56-24 2.36 1.22 0.38 1.13 11 6-3 0.02 34 93. 44. 12-08 13-97 58-11 14.39 0.39 24-2 18. 0. 8. 41-2 147.22. 3-02 8-68 54-34 0.54 1.60 0.20 0.53 OS 6-8 0.24 43 91.55. 3-67 9-24 54-43 12. 32 0.16 29-9 20. 7. 43. 12-5 173.55. 6-16 0-03 66-13 0.05 2.09 0.84 0.06 21 7-3 0.65 49 89. 36. 45-86 47-64 58-22 9.69 0.10 35-2 23. 10. 18. 9-0 217. 30. 15-63 18-61 57-02 2.20 2. 84 2.77 0.29 49 8-3 1.49 53 86. 14. 44-66 45-93 58-73 5.90 0.41 39-9 27. 14. 23. 4-7 280. 36. 62-52 56-58 65-94 8.77 3.14 5.97 1.44 41 9-3 2.51 44 85. 20. 9-94 13-53 56-41 4.92 1.34 34-9 June 1. 18. 53. 12-4 353. 6.31-94 23-51 68-43 13. 9!) 2.09 7.75 0.67 08 11-0 2.75 23 90. 24. 35-81 35-20 60-61 10.72 1.90 18-4 16. 5.37.23-6 168. 39. 17-68 1753 60-15 0.04 1.93 0.22 0.69 07 15-7 0.00 31 89. 49. 36-45 27-68 68-77 10.08 0.10 19-7 18. 7.13. 1-7 195. 53. 45-88 39-89 65-99 0.60 2. 45 0.60 0.15 16 16-4 0. 13 40 87.31.56-52 47-60 68-92 7.46 0.21 26-0 24. 13. 5. 35-6 288. 24. 13-28 3-45 69-83 9.41 3.10 4.82 1.08 52 18-6 1.57 52 85.45. 8-68 12-81 55-87 5.33 1.47 40-0 26. 15. 3. 56-5 319. 16. 44-00 36-12 67-88 12.28 2.76 6.31 1.49 36 19-2 2.13 49 87. 44. 58-59 58-44 60-15 7.57 1.80 38-4 28. 16.48. 19-1 348. 5.22-09 17-17 64-92 13.82 2.26 7.37 1.38 17 20-2 2.56 43 90.13. 9-64 11-79 57-85 10.36 1.90 34-3 29.17.36.13-3 1. 42. 56-66 46-98 69-68 14.01 1.99 7.65 1.14 10 20-5 2.71 39 91.24.39-72 39-54 60-18 11.71 1.87 31-6 July 18. 7.42.26-2 233.42. 11-70 13-98 57-72 3.22 2.98 0.81 0.07 20 26-8 0.00 32 85.11.18-62 13-71 64-91 4.91 0.67 19-7 20. 9.40.29-9 264. 24. 15-25 14-29 60-96 6.56 3.18 1.98 0.07 40 27-4 0.17 41 84. 56. 53-43 54-17 59-26 4.56 1. 14 27-0 22. 11.44. 31 3 295. 56. 15-70 2-77 72-93 10.01 3.06 3.52 0.58 53 28-3 0.54 48 86. 10. 47-04 45-88 61-16 5.86 1.58 34-1 23. 12. 46. 53-1 311.33.17-19 8-24 68-95 11. 50 2.89 4.42 0.91 53 28-6 0.79 50 87. 14. 57-37 59-66 57-71 7.03 1.75 36-7 24. 13. 43. 48-8 326. 47. 38-95 26-20 72-75 12.68 2.67 5.23 1.21 49 28-9 1.07 52 88. 29. 49-45 44-69 64-76 8.40 1.85 38-6 25. 14. 37. 24-2 341. 33. 49-80 41-44 68-36 13. 51 2. 42 5.97 1.43 41 29-2 1.36 53 89. 48. 32-28 34-65 57-63 9.85 1.90 39-7 Aug. 15. 6. 30. 37-7 243. 9.22-20 23-34 58-86 3.81 3.04 0.33 0.40 10 35-3 0.31 16 84.49.41-15 32-20 68-95 4.60 0.83 9-4 i ' Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. /7 e \ \ \\ \ \\ \\ s K \ \\ e \ \ \\ oo-oo 7. 0->'-2. 00 4. 00 0.70 30 20-8 1.42 30 oo-oo 10.211.00 23-7 - [88] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .H.-S Q,"* if Change for 0-1 in Argument. Parallactic Inequality. Variation. Change for OP- 1 in Argument. _ C li .2 C "rt Sub. Sub. Sub ; Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sub: 60-00 7.02 2. 00 4. 00 6.76 30 20-8 1.42 30 60-00 10. 21 i. oo 23-' SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [89] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. u >, 11 Cs] o* >-H dj q Change for 08- 1 in Argument. Parallactic Inequality. Variation. Change for 0?'l 1 in Argument. d ! li- < Evection. Changeforfls-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P. D. M Q. . 11 ^ *7 > Z x. fe w $ Effect of Mean Inclination. Change for 05-1 I in Argument. Evection in E. N.P. D. 1774. d h m s Off // ir * v \ \ \\ e \ s O t ft // tf s * \ v\ Oct. 20. 17. 43. 6-5 119.43.58-89 45-67 73-22 4.64 1.03 7.76 0.88 07 39-6 0.74 50 93. 25. 56-36 43-36 73-00 13.94 0.32 31-3 Nov. 10. 5. 58. 30-5 318. 0. 30-55 30-28 60-27 10.82 2.98 0.25 0.89 08 36-8 2.39 14 88. 3.24-23 1-61 82-62 8. 11 1.84 18-9 13. 8.29.28-8 359.57. 7-25 0-21 67-04 13.78 2.29 0.78 0.08 19 36-2 1.64 08 91.41.15-99 2-01 73-98 12.23 1.84 10-7 14. 9. 1C. 38-0 13. 26. 12-20 1-64 70-56 14.01 2.02 1.29 0.00 29 36-0 1.35 08 92. 44. 65-97 54-02 71-95 13.43 1.74 9-1 18. 12. 26. 38-2 65.29. 8-47 7-13 61-34 11.40 1.19 4.30 0.87 54 34-8 0.35 15 94. 59. 47-66 25-28 82-38 15.92 1.06 8-2 20.14. 2.31-3 90. 28. 13-56 8-92 64-64 8.63 1.00 5.87 1.41 42 34-3 0.07 23 94. 40. 41-41 20-37 81-04 15.54 0.67 11-0 26. 18. 39. 55-9 164.31.77-67 58-98 78-69 0.78 1.52 7.64 0.44 10 32-4 0.55 48 89. 29. 64-95 43-24 81-71 9.63 0.10 26-5 28.20.13. 5-6 191. 6.64-90 53-68 71-22 0.03 2.00 6.87 0.07 25 31-9 1.08 52 87. 18. 15-02 3-02 72-00 7.13 0.24 32-4 Dec. 7. 3.51.30-3 312.46.16-33 12-12 64-21 9.86 3.07 1.05 1.44 24 29-2 2.82 33 87. 52. 50-29 72-26 38-03 7.77 1.81 34-7 8. 4.46.46-8 327.34. 4-34 1-28 63-06 11.36 2.91 0.60 1.29 15 28-6 2.83 29 89. 7.24-61 40-82 43-79 9.18 1.89 31-8 9. 5. 38. 46-9 341. 54.41-01 39-69 61-32 12.57 2.70 0.33 1.05 09 28-3 2.79 24 90. 23. 25-23 23-30 61-93 10.61 1.90 28-7 15. 10. 20. 45-2 61. 8. 17-74 12-46 65-28 12.11 1.28 2.23 0.13 44 26-4 1.56 08 94. 59. 28-54 29-07 59-47 15.90 1.10 11-3 16.11. 8. 6-1 73. 40. 10-77 3-91 66-86 10.92 1.14 3.00 0.37 51 25-8 1.28 08 94. 58. 50-64 46-83 63-81 15.90 0.90 9-7 24.17.20. 6'7 1775. 172.20.49-51 22-12 (87-39) 0.53 1.60 7.76 0.91 08 22-8 0.02 33 88. 32. 71-91 32-53 (99-38) 8.71 0. 13 13-5 Jan. 6. 4. 22. 16'2 350.34. 9-94 20-48 49-46 12.95 2.61 0.81 1.39 20 18-5 2.65 41 91.23.55-69 40-22 75-47 11.60 1.87 38-6 12. 9. 5. 32-3 69.40. 11-77 12-22 59-55 11.69 1.22 1.25 0.00 28 16-2 2.49 16 95. 7.66-29 50-33 75-96 15.92 0.94 23-5 13. 9. 52. 50-7 82. 2.48-42 45-07 63-35 10.42 1.09 1.88 0.05 39 15-8 2.28 12 94. 54. 64-26 52-70 71-56 15.71 0.75 20-4 15. 11.28. 4-3 106. 35. 10-11 1-50 68-61 7.47 0.97 3.41 0.52 53 15-2 1.77 09 93. 49. 34-74 27-47 67-27 14.56 0.42 15-2 16. 12. 15. 14-0 118.48.30-01 30-04 59-97 5.93 0. 98 4.24 0.85 54 14-6 1.49 08 93. 0. 9-18 1-67 67-51 13.68 0.28 12-9 16.12.17.21-9 118.49.35-49 33-22 62-27 5.93 0.98 4.24 0.85 54 14-6 1.49 08 92. 59. 64-24 57-01 67-23 13.68 0.28 12-9 17. 13. 3. 40-5 131. 3.30-44 31-75 58-69 4.45 1.04 5.05 1.16 50 14-2 1.20 08 92. 2. 8-38 3-11 65-27 12.62 0. 18 10-8 21.16. 2.42-6 180. 52. 23-63 19-47 64-16 0.33 1.69 7.47 1.33 15 13-0 0.26 17 87.38. 16-17 10-95 65-22 7.77 0.19 7-5 Feb. 5. 4. 40. 11-3 26. 19. 52-00 57-18 54-82 14.01 1.99 0.63 1.31 16 8-4 2.33 47 94.11.22-84 15-40 67-44 14.69 1.56 40-0 6. 5.27.48-3 39. 43. 31-60 32-59 69-01 13.80 1.74 0.34 1.06 10 8-1 2.53 44 94.49. 7-81 1-64 66-17 15.39 1.38 39-7 9. 7. 49. 24-4 77. 53. 12-72 20-65 52-07 11.23 1. 17 0.53 0. 19 15 7-1 2.83 31 95. 7.24-60 16-25 68-35 15.78 0.80 358 10. 8.36.54-1 90. 12. 1-85 6-57 55-28 9.89 1.06 0.94 0.03 23 6-8 2.82 26 94. 43. 59-69 54-98 64-71 15.38 0.61 33-5 12.10. 11.41-1 114.38.20-80 19-67 61-13 6.89 0.97 2.18 0.12 43 6-3 2.61 18 93. 20. 24-14 23-55 00-59 13.89 0.31 28-5 13. 10.58.26-6 126. 52. 29-48 27-20 62-28 5.36 1.00 2.94 0. 36 50 6-1 2.44 15 92. 23. 42-20 43-04 59-16 12.87 0.20 25-5 15.12.31.58-8 151.36.3462 36-85 57-77 2.60 1.19 4.59 1.00 53 5-6 1.97 10 90. 11.55-53 52-44 63-09 10.49 0.10 19-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 60'-00 v 7.02 2.00 \ \v 4.00 K \ 0.76 30 20-8 a \ 1.42 30 60-00 10.21 i.oo 23-7 GREENWICH LUNAR REDUCTIONS. [N] [90] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. i 1 Elliptic Inequality. Change for fls- ll in Argument. Parallactic Inequality. Variation. Change for Os- 1 in Argument. Annual Equation. Evection. Change for OB- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. |P Effect of Mean Inclination. Change for 08-1 in Argument. 1^ w w 1775. -. Feb. 17. 14. 1.30-2 Of" 176.53. 0-48 8-19 52-29 s "" 0.68 1.55 6.12 e - 1.46 39 6-0 1.42 08 o r a 87. 54. 63-34 rr 54-77 // 68-57 s * 8.01 0. 16 14-3 19. 15.3-2.33-4 202. 59. 28-96 28-23 60-73 0.03 2.03 7.25 1.43 19 4-6 0.86 10 85.59. 4-55 1-82 62-73 5.90 0.41 10-1 Mar. 8. 5. 43. 16-8 73. 3. 36-86 42-16 54-70 11.96 1.26 0.26 0.93 08 1-6 2. 16 49 95. 12. 49-70 44-40 65-30 15.85 0.85 39-4 13. 9.39.49-2 134.35. 14-76 9-76 65-00 4.80 1.02 1.83 0.04 38 0-9 2.83 30 91.44.22-65 8-15 74-50 12.03 0.15 37-2 14. 10.25. 31-0 146. 58. 29-32 21-91 67-41 3.39 1.11 2.55 0.22 47 0-8 2.80 25 90. 37. 44-47 31-58 72-89 10.81 0. 10 35-2 15.11. 10.47-4 159. 32. 25-14 18-14 67-00 2.16 1.25 3.35 0.49 52 0-7 2.71 27 89. 28. 29-65 15-63 74-02 9.55 0. 10 33-1 16. 11. 55.57-1 172. 19.27-06 21-69 65-37 1. 16 1.42 4.18 0.82 54 0-6 2.57 17 88. 19. 43-31 30-20 73-11 8.31 0.15 30-4 16.11.58. 3-0 172.20.38-14 27-21 70-93 1.16 1.42 4.18 0.82 54 0-6 2.57 17 88. 19. 35-06 24-46 70-60 8.30 0. 15 30-4 17. 12. 43. 32-8 185. 22. 25-30 16-42 68-88 0.45 1.63 5.00 1.14 51 0-5 2.39 14 87. 14. 51-09 40-38 70-71 7.13 0.24 27-5 20.15. 7.21-6 226. 1.23-38 24-26 59-12 0.47 2.40 7.02 1.49 24 0-3 1.63 08 85. 0.56-13 49-43 66-70 4.73 0. 75 17-7 23. 17. 50. 17-6 268.51.54-57 57-83 56-74 3.86 3.04 7.78 0.78 07 0*1 0.79 10 85. 16. 44-62 40-75 63-87 5.09 1.40 10-0 April 9. 7.33.39-6 129. 38. 22-56 33-77 48-79 5.72 0.99 0.51 0.21 14 0-3 2.22 49 92. 2.13-32 11-15 62-17 12.36 0.16 38-4 11. 9. 4.35-7 154.21.28-46 32-50 55-96 2.91 1.16 1.46 0.00 33 0-5 2.62 42 89.51.50-40 41-55 68-85 9.93 0. 10 39-9 12. 9.49.40-3 167. 2. 6-34 7-68 58-76 1.75 1.31 2. 13 0.11 42 0-5 2.75 38 88.44. 5-76 0-93 64-83 8.67 0. 13 39-9 13. 10. 35. 6-0 180. 0.38-12 38-79 59-33 0.85 1.50 2.88 0.34 50 0-6 2.82 33 87. 38. 59-32 50-99 68-33 7.47 0.21 39-3 18. 14. 48. 39-8 249. 46. 45-72 33-80 71-92 1.66 2.74 6.71 1.52 29 1-1 2.33 13 84. 57. 17-80 17-11 60-69 4.56 1.14 27-5 19.15.45.31-6 264. 25. 47-06 33-16 73-90 2.94 2.94 7.22 1.43 19 1-3 2.09 11 85. 17. 23-03 27-25 55-78 4.96 1. 36 24-0 20. 16. 43. 32-0 279. 9. 8-31 0-86 67-45 4.48 3.09 7.60 1.23 12 1-4 1.83 09 85. 56. 19-09 20-66 58-43 5.71 1.55 20-4 22. 18.38.31-6 308.35. 9-56 14-97 54-59 7.97 3.17 7.74 0.62 08 1-6 1.26 08 87. 58. 52-67 53-03 59-64 8.04 1.83 13-9 May 7. 6. 13. 4-4 136. 49. 55-00 56-93 58-07 5.16 1.01 0.24 0.63 07 4-2 1.18 52 91. 11.56-32 51-47 64-85 11.53 0. 12 28-0 8. 6. 58. 5-9 149. 5.48-55 53-17 55-38 3.72 1.09 0.37 0.34 11 4-4 1.47 53 90. 7.21-92 17-14 64-78 10.31 0. 10 30-9 9. 7.42.40-0 161.32. 7-36 15-19 52-17 2.44 1.21 0.69 0. 12 18 4-6 1.76 52 89. 1. 38-46 31-37 67-09 9. 07 0. 12 33-3 10. 8.27.20-9 174. 14.49-88 55-62 54-26 1.38 1.38 1.17 0.01 27 4-8 2.03 50 87. 57. 28-66 20-28 68-38 7.86 0. 18 35-6 12. 9.59.45-2 200.47. 56-01 58-40 57-61 0.13 1.81 2.49 0.20 46 5-4 2. 49 45 .86. 6.50-24 45-53 64-71 5.77 0.44 38-9 15.12.38. 8-7 243. 49. 41-75 35-24 66-51 1.04 2.59 4.94 1.12 51 6-1 2.83 32 85. 0. 4-60 5-33 59-27 4. 51 1.07 39-4 17. 14. 35. 23-8 273. 55. 47 62 36-09 71-53 3.49 3.01 6.40 1.50 35 6-6 2.76 23 8.3.51.41-74 44-01 57-73 5.49 1,61 35-9 19. 16. 33. 56-4 304. 2.46-60 36-24 70-36 6.88 3. 18 7.42 1.35 15 7-0 2.48 15 87. 51. 15-72 20-54 55-18 7. 7G 1.81 29-9 21. 18. 24. 23-6 333. 26. 63-58 59-94 63-64 10.28 3.03 7.78 0.79 07 7-8 2.02 10 90.22.48-12 46-34 61-78 10.63 1.90 22-9 June 4. 4. 52. 54'7 144. 12. 26-29 24-29 62-00 4.60 1.03 0.37 1.10 10 11-5 0.27 43 90. 17. 63 16 55-42 67-74 10.66 0. 10 14-8 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 ff \ 7.02 i. oo 4.00 0*76 30 20-8 K \ 1.42 30 60-00 10.21 i.oo 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [91] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. al" = 1 s f Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os- 1 1 in Argument. Annual Equation. Evection. Change for 0?-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. ^d * 11* ,1 S a S Effect of Mean Inclination. Change for Os-l 1 in Argument. \* ** Z z . - ~ 1775. *!>'- o / // n n e \ \\ \ \\ * \\ i g * v\ o / // n n * % > \ June 5. 5. 37. 9'2 156. 26. 18-52 24-87 53-65 3.22 1.13 0.24 0.80 07 12-1 0.46 47 89. 12. 59-29 55-50 63-79 9.43 0.11 17-2 8. 7. 50. 25-0 194. 34. 53-47 55-16 58-31 0.38 1.66 0.87 0.05 22 13-0 1.25 52 86. 16. 63-26 55-75 67-51 6.08 0.38 26-0 9. 8.37.35-4 208. 5.35-47 36-47 59-00 0.05 1.91 1.41 0.00 32 13-3 1.54 53 85. 34. 61-41 51-73 69-68 5.27 0.55 29-2 10. 9.27.31-3 222. 6. 43-00 45-56 57-44 0. 11 2.17 2.08 0.10 42 13-6 1.83 52 85. 6.61-66 55-68 65-98 4.72 0.75 32-2 12. 11. 17.45-0 251.38.33-92 27-30 66-62 1.40 2.68 3.64 0.62 53 14-5 2.34 47 85. 6. 15-15 17-93 57-22 4.65 1.21 37-5 13. 12. 20. 6-3 267. 0.41-58 34-78 66-80 2.60 2.90 4.47 0.96 53 14-8 2.54 44 85.37. 2-74 11-70 51-04 5.20 1.43 39-0 15. 14. 23. 9-8 298. 4.41-58 32-71 68-87 5.78 3.16 6.07 1.45 40 15-4 2.79 35 87.34. 3-09 6-23 5686 7.35 1.78 39-9 16.15.22.41-5 313.27.11-91 3-83 68-08 7.55 3.17 6.71 1.52 29 15-7 2.83 31 88. 50. 32-54 37-44 55-10 8.78 1.87 38-9 19. 18. 3. 49-1 357.42. 15-13 3-97 71-16 12.18 2.78 7.75 0.96 08 16-7 2.60 18 92. 38. 52-19 64-88 47-31 13.07 1.78 32-2 20.18.52.51-7 11.45. 39-03 31-08 67-95 13. 17 2.54 7.75 0.64 08 17-3 2.42 14 93. 37. 58-36 63-77 54-59 14.19 1.65 29-2 Nov. 3. 8. 48. 16-7 353. 39. 47-78 39-88 67-90 10.69 2.99 1.05 0.01 25 38-4 0.37 15 92. 41. 47-22 52-08 55-14 13.34 1.75 11-7 9. 13. 59.58-1 79.19.45-17 33-21 71-96 13.39 1.56 5.62 1.34 45 37-0 0.17 41 94. 23. 20-68 18-47 62-21 15.22 0.56 9-7 10. 14. 51.26-7 92.30. 13-71 4-31 69-40 12.57 1.36 6.31 1.49 36 36-8 0.33 45 93. 42. 55-90 62-11 53-79 14.45 0.40 11-7 13. 17. 17. 59-2 130. 8.50-46 40-95 69-51 8.73 1.00 7.65 1.15 10 36-2 1.06 52 90. 51. 35-49 34-26 61-23 11.20 0. 11 19-2 15. 18.47.44-2 154. 29. 26-04 18-57 67-47 5.68 0.99 7.71 0.54 09 35-5 1.64 52 88. 43. 24-29 24-29 60-00 8.77 0.13 24-7 29. 5.52.41-1 334. 28. 25-56 11-60 73-96 8.02 3.17 0.25 0.86 08 31-9 1.86 09 91. 24. 17-82 28-27 49-55 11.73 1.87 30-2 Dec. 2. 8.25.17-5 17. 47. 34-92 28-13 66-79 12.47 2.72 0.81 0.07 20 30-7 1.02 09 94. 21. 47-31 48-40 58-91 15. 11 1.46 19-9 8. 13. 32. 18-4 99. 47. 37-54 26-92 70-62 12. 19 1.29 5.17 1.21 49 28-6 0.00 28 93. 5.35-80 41-42 54-38 13.81 0.30 7'6 9.14.22.23-6 112.31.32-73 25-34 67-39 11.02 1.15 5.92 1. 42 41 28-3 0.01 33 92. 7.28-51 38-19 50-32 12.74 0. 19 7-5 10.15.10.49-7 125. 0. 26-22 15-39 70-83 9.64 1.04 6.58 1.52 31 28-0 0.08 38 91. 4. 12-29 19-55 52-74 11.56 0.12 7-9 12. 16. 42. 12-4 149.27.49-19 36-24 72-95 6.63 0.97 7.51 1.29 13 27-4 0.38 45 88. 53. 49-49 46-40 63-09 9.12 0.12 10-2 16. 19. 34. 50 7 198.56.32-13 25-96 66-17 1.36 1.38 7.31 0.18 17 25-8 1.42 53 85.28. 5-87 0-83 65-04 5.23 0.56 19-7 17.20.20.15-0 212. 0.47-15 42-97 64-18 0.58 1.58 6.83 0.06 26 25-4 1.71 52 85. 2.22-75 25-56 57-19 4.72 0.75 22-7 29. 6. 23. 30-0 13. 32. 13-76 2-38 71-38 11.75 2.85 0.22 0.71 07 21-5 2.30 13 94. 22. 15-35 25-16 50-19 14.95 1.50 35-2 177G. Jan. 26. 5, 9. 19'5 23. 4. 11-68 4-15 67-53 12.21 2.77, 0.42 1.16 12 11-5 2.82 27 94. 53. 29-57 38-73 50-84 15.48 1.35 40-0 28. 6.48.49-3 51. 5. 8-56 1-66 66-90 13.80 2.27, 0.25 0.56 08 10-9 2.62 18 95. 16. 15-09 23-29 51-80 15.91 0.92 38-9 29. 7.38.35-6 64. 32. 54-99 50-24 64-75 14.01 2.01 0.42 0.28 12 10-6 2.45 15 95. 0. 34-01 42-10 51-91 15.63 0.71 37-5 30. 8. 28. 39-8 77. 42. 22-26 19-27 62-99 13.84 1.76 0.78 0.08 20 10-3 2.23 12 94.29.18-94 25-59 53-35 15.08 0.53 35-4 31. 9.18.52-0 90.36.17-14 13-72 63-42 13.30 1.53 1.29 0.00 30 9-7 1.99 10 93. 44. 55-61 60-14 55-47 14.28 0.37 33-1 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7. 02 2. 00 \ \\ 4.00 6. 76 30 20-8 1.42 30 60-00 10.21 i.oo 23-7 [N]2 [92] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. . 2- "S W f Change for 0?T 1 in Argument. .H >. y ." ^"5 11 Variation. Change for 06-1 in Argument. Annual Equation. Ejection. Change for OS- 1 1 in Argument. Ecliptic N.P, D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. i.a S. *S 81* II } Effect of Mean 1 Inclination. Change for fls-1 1 in Argument. jjeS OfC fz WW 1776. ' * " Feb. 5.13.18.36-9 / I' 152. 36. 37 -96 42-07 /; 55-89 e - 7.00 0.97 5. 11 s ^ 1.19 50 \ 8-4 s " 0.62 12 / '/ 88. 26. 33-82 // 36-33 u 57-49 s * 8.54 0. 14 19-2 6. 14. 1. 52-6 164. 45. 58-62 59-08 59-54 5.48 1.00 5.87 1.41 42 8-1 0.41 15 87. 24. 34-67 35-66 59-01 7.41 0.22 16-5 11. 17.38. 19-0 227. 6. 10-02 1-94 68-08 0.20 1.76 7.77 0.73 07 6-6 0.04 35 84.42. 8-76 16-81 51-95 4. 50 1.03 7-8 12. 18. 26. 56-9 240. 23. 16-97 1-03 75-94 0.03 2.01 7.64 0.43 10 6-3 0.14 40 84.52.48-12 44-04 64-08 4.70 1.24 7-4 28. 8. 5.42-1 99. 18. 25-69 21-05 64-64 13.00 1.45 0.57 0. 17 15 2-9 2. 72 21 93. 6.42-64 35-17 67-47 13.51 0.26 39-9 29. 8.54.56-7 111.49.19-80 15-68 64-12 12.04 1.27 1.01 0.02 24 2-7 2.58 17 02. 6.55-82 50-86 64-96 12.41 0.17 39-3 Mar. 1. 9.42.55-5 124. 9.36-35 26-42 69-93 10.83 1.13 1.59 0.01 34 2-5 2.40 14 91. 2.11-17 4-19 66-98 11.22 0.11 38-2 2. 10.29.24-6 136.22. 56-01 50-19 65-82 9.45 1. 03 2.28 0.14 44 2-2 2.17 11 89.55.14-18 7-36 66-82 10.00 0.10 36-6 5. 12. 42. 48-6 172. 55. 11-97 11-50 60-47 4.91 1.02 4.71 1.03 52 1-8 1.36 08 86. 49. 10-54 6-28 64-26 6.62 0.30 29-9 26. 6. 0. 6'3 94. 43. 44-71 47-36 57-35 13.46 1.58 0.26 0.89 08 o-o 2.61 42 93. 16. 23-94 25-41 58-53 13.76 0.29 33-7 29. 8.26.34-5 132. 16. 23-57 20-89 62-68 10.33 1.09 0.75 0.08 19 o-o 2.83 29 90. 10. 30-09 24-54 65-55 10.27 0. 10 38-9 30. 9.12. 0-6 144. 26. 37-38 29-13 68-25 8.89 1.01 1.25 0.00 29 o-o 2.79 24 89. 5. 17-01 13-60 63-41 9. 05 0.12 39-7 31. 9. 55. 59-3 156.34.59-09 50-28 68-81 7.38 0.97 1.88 0.06 39 o-o 2.69 20 88. 2.55-40 52-22 63-27 7.89 0.18 40-0 April 1. 10. 38. 55-5 168. 45. 43-03 33-43 69-60 5.84 0.98 2.60 0.24 47 o-o 2.54 16 87. 5.53-04 50-61 62-43 6.83 0.28 39-8 2.11.21.19-9 181. 1.62-26 55-44 66-82 4.37 1.04 3.41 0.53 53 o-o 2.35 13 86. 16.41-43 36-31 65-12 5.93 0.41 39-0 3.12. 3.48-5 193. 26. 34-26 25-05 69-21 3.01 1.15 4.24 0.86 54 0-1 2.11 11 85.37.39-14 29-84 69-30 5.21 0.57 37-9 3.12. 5.51-2 193. 27. 32-90 26-94 66-05 3.01 1.15 4.24 0.86 54 o-i 2.11 11 85.37.31-27 27-06 64-21 5.21 0.57 37-9 4.12.49. 2-9 206. 1. 50-45 53-79 62-66 1.84 1.29 5.05 1.17 50 0-1 1.85 09 85. 10. 35-39 35-28 60-11 4.73 0.75 36-1 5. 13. 33. 35-1 218.47.37-14 35-34 61-80 0.92 1.48 5.82 1.40 43 o-i 1.57 08 84. 57. 40-62 43-03 57-59 4.51 0.94 33-9 6.14.20. 3-1 231.45.43-48 36-55 66-93 0.30 1.70 6.49 1.51 33 0-2 1.29 08 85. 0. 1-03 5-07 55-96 4.57 1. 15 31-3 9. 16. 54. 3-1 272. 4.49-95 54-57 55-38 0.67 2.47 7.71 1.06 09 0-4 0.51 13 86. 40. 59-77 64-58 55-19 6.52 1.69 22-2 23. 4. 42. 12-8 102. 16. 34-24 36-03 58-21 13.19 1.50 0.60 1.30 16 1-7 1.74 52 92. 28. 48-88 44-26 64-62 13.01 0.21 20-4 24. 5.32.56-5 115. 7.22-20 25-96 (56-33) 12.30 1.31 0.33 1.05 10 1-9 2.02 50 91.26. 10-81 8-77 (62-04) 11.82 0. 14 23-5 25. 6.21.33-5 127. 38. 48-58 50-33 58-25 11. 14 1.16 0.22 0.75 07 2-2 2.27 48 90. 20. 73-30 50-83 82-47 10.58 0. 10 26-5 27. 7.52.40-6 152. 7.33-67 35-90 57-77 8.33 0.99 0.65 0.18 15 2-5 2.65 41 88. 13. 26-48 19-54 66-94 8. 17 0.16 32-0 29. 9. 18. 21-5 176.30.35-39 28-25 67-14 5.28 1.00 1.55 0.01 34 2-8 2.83 3-2 S6. 26. 26-57 2-99 83-58 6. 14 0. 37 36-3 30. 10. 0. 42-0 188. 52. 20-77 15-81 64-96 3.83 1.08 2.23 0.13 43 2-9 2.83 28 85. 45. 51-21 38-70 72-45 5.37 0.52 37-9 May 1.10.43.38-8 201. 25. 53-44 47-02 66-42 2.51 1.20 3.00 0.36 50 3-1 2.77 23 85. 16. 6-2-08 56-02 66-Ofi 4.83 0.70 39-1 3. 12. 16. 15-3 227. 16. 59-67 53-31 66-36 0. 65 1.56 4.65 1.01 53 3-6 2. 50 16 85. 1.53-15 52-38 60-77 4.53 1. 10 40-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4.00 0.76 30 20-8 1 . 42 30 oo-oo 10.21 i.oo 23-7 1776. April 24. The Observed Z.D. has been increased 2 Verniers. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [93] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. fit *? j Excess of Observed Longitude. 11 Z: O" Change for fls-1 in Argument. .2 >. CJ ZZ ce ~ s ' flj (2.5 Variation. Change for Os- 1 in Argument. Annual Equation. Erection. Change for 0?-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. seconds ot Tabular Eclipticl N. P. D. i.H D .& ' Effect of Mean Inclination. Change for OS- 1 in Argument. W bi 177(> d h m s May 5. 13. 56. 17'8 ' il 254. 6.63-07 52-97 70-10 0.03 s v 1.47 32 4-0 * v 2.05 10 85.50. 5-02 2-92 32-10 s * 5.43 1.49 38-4 2.05 6.17 6. 14. 50. 4-9 267.52.51-18 43-74 67-44 0.30 2.31 6.79 1.51 28 4-2 1.78 09 86.37. 793 10-66 57-27 6.32 .66 36-7 7. 15. 45. 39-2 10. 18. 33. 16-0 281.51. 9-20 324. 53. 50-02 4-19 56-63 65-07 53-39 0.97 4.98 2.57 3.12 7.28 7.74 1.42 0.59 18 08 4-4 5-2 1.50 0.68 08 11 87.37. 5-85 91. 18. 23-41 12-05 26-33 53-80 57-08 7.45 11.64 . 70 1 ! 34-5 li . 87 25-0 22. 4. 13. 38-8 122. 22. 38 54 34-24 (64-30) 11.88 1.25 0.84 1.39 20 8-0 0.95 51 90. 33. 50-52 50-44 60-08) 10.97 0.11 11-3 24. 5.47.38-1 147. 15. 34 55 35-70 58-85 9.26 1.02 0.26 0.91 08 8-5 1.53 53 88. 22. 44-06 38-25 65-81 8.49 0. 14 15-9 28. 8.38.42-9 196.20.35-19 37-16 58-03 3.33 1. 12 1.21 0.00 28 9-9 2.53 44 85. 17. 37-57 31-01 66-56 4.96 0. 65 27-0 29. 9.22.11-1 209. 0.42-80 43-86 58-94 2.10 1.26 1.83 0.05 38 10-1 2.68 40 84.59.19-39 17-8C 61-59 4.59 0.84 29-9 30. 10. 7. 32-5 221.58.34-07 31-01 63-06 1.11 1.43 2.55 0.22 47 10-4 2.79 36 84. 55. 60-93 55-34 65-59 4.50 1.04 32-7 31.10.55.27-9 235. 15. 53-62 47-34 66-28 0.42 1.65 3.35 0.50 52 10-7 2.83 31 85. 8.39-96 39-94 60-02 4.71 1.25 35-0 June 1.11.46.22-6 248. 52. 58-56 47-80 70-76 0.07 1.89 4. 18 0.83 54 11-0 2.82 27 85.38. 2-29 3-18 59-11 5.23 1.44 37"2 2. 12.42.34-5 262. 49. 39-54 29-07 70-47 0.09 2.15 5.00 1.15 50 11-3 2.75 22 86. 23. 29-64 37-00 52-58 6.06 1.62 38-8 4. 14. 36. 23-3 7. 17. 24. 10 4 291.23.53-65 335. 11.45-87 41-93 41-00 71-72 64-87 1.33 5.64 2.67 3. 15 6.45 7.71 1.51 1.07 33 09 12-1 13-0 2.44 1.70 15 08 88. 33. 56-64 92.23. 2-29 54-57 7-81 62-07 54-48 8.40 12. 74 1. 86 1.81 40-0 36-3 22. 5. 9. 33-3 166. 41. 47-36 38-77 68-59 7.17 0.97 0.34 1.07 10 17-9 0.75 50 86. 39. 61-62 54-44 67-18 6.65 0.30 8-6 23. 5.51.40-7 178. 53. 10-82 11-41 59-41 5.64 0.99 0.23 0.77 07 18-2 1.02 52 85. 53. 45-95 37-79 68-16 5.79 0.43 9-8 25. 7.15.57-1 203. 35. 58-98 61-41 57-57 2.84 1.17 0.53 0.20 14 18-9 1.60 52 84. 55. 46-29 39-20 67-09 4.68 0.78 13-7 30.11.24. 63 270. 49. 53-86 45-47 08-39 0.20 2.25 3.76 0.66 54 20-8 2.71 39 86.56.11-43 12-44 58-99 6.77 1.72 29-0 July 3. 14. 22. 19'6 315. 14. 16-55 14-43 62-12 3.03 2. 96 6.12 1.4f 39 21-8 2.80 25 90. 47. 32 92 29-39 63-53 10.97 1.89 37-3 6. 17. 5 25-0 0. 7. 46-99 33-83 73-16 8.08 3.16 7.60 1.22 11 23-0 2.38 14 94. 13. 47-82 49-78 58-04 14.76 1.54 39-9 8.18.46.40-3 29. 22. 23-60 22-84 60-76 11.27 2.92 7.74 0.61 08 23-7 1.90 09 95.13. 3-57 1-24 62-33 15. 88 1.12 37-7 20. 3.47.41-3 174. 6. 15-74 13-43 62-31 6.59 0.97 0.87 1.40 21 27-7 0.07 37 86. 5.29-70 24-33 65-37 6.00 0.39 9-3 22. 5. 11. 2-5 198. 32. 16-60 10-95 65-65 3.65 1.09 0.27 0.94 08 28-3 0. 35 45 84.58. 5-59 2-2 63-38 4.78 0.72 7-6 24. 6.37.51-8 223. 37. 10-74 11-94 58-80 1.33 1.39 0.37 0.33 11 28-9 0.81 50 84.45. 7-46 0-69 66-7* 4.64 1.11 7-9 25. 7.24.45-7 236. 37. 32-70 35-55 57-15 0.56 1.59 0.69 0.1 18 29-2 1.09 52 85. 1. 55-9 50-63 65-33 4.84 1.31 8-9 26. 8. 14. 56-9 250. 2. 40-18 42-17 58-01 0. 12 1.83 1.17 0.01 27 29-5 1.38 53 85. 35. 15-1 11-58 63-5C 5.45 1.50 10-5 28.10. 5.46-9 278. 17. 3-67 1-54 62-13 0.37 2.35 2.49 0.21 46 30-3 1.95 51 87. 29. 30-1 34-04 56-08 ; 7. 52 1.79 15-6 29.11. 5. 3-7 293. 5. 4- 1C 2-3C 61-80 1.08 2.6 3. 2J 0.48 52 30-6 2.21 49 88.46. 7-4 6-81 60-6a 8. 9C 1.83 18-9 Sub. Sub. Sub Sub. Sub Sub Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 7.02 2.0 4.00 6.7 30 20-8 1.42 30 60-OC e 10.2 1. 00 23-7 1776. May 22. The Observed Z.D. has been increased 2 Verniers. [94] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. K o it Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for 08-1 1 in Argument. Annual Equation. Evection. Change for OS- 1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. *i. *1S J1* w g Effect of Mean Inclination. 1 Change for Os-1 I | in Argument. *a fz K 1776. " " m a July. 30. 12. 5. 0-3 30. 12. 7. 24-4 O f II 308. 14. 36-42 308. 15. 58-82 tf 31-45 59-45 ft 64-97 59-37 g - 2.19 2.19 \ \\ 2. 84 2.84 \ \\ 4.18 4.18 e * 0. 82 0. 82 54 54 \ 30-9 30-9 f x 2.44 2.44 46 46 O t fl 90. 9.35-21 90. 9.41-80 // 36-59 44-76 tt 58-62 57-04 s * 10.41 10.41 1. 90 1.90 22-4 22-4 31.13. 6.25-1 323. 39. 23-38 24-59 58-79 3.59 3.02 5.00 1. 14 51 31-2 2.62 42 91. 33. 45-40 46-58 58-82 11.93 1.86 26-3 Aug. 1. 14. 3. 29-8 339. 7.55-29 53-57 61-72 5.23 3.14 5.77 1.38 44 31-5 2.75 38 92.51.21-65 23-05 58-60 13.33 1.75 29-9 2. 14. 58. 22-0 354.32.47-12 40-42 66-70 6.99 3.18 6.45 1.51 34 31-7 2.82 33 93. 56. 10-43 12-76 57-67 14.50 1.60 33-3 3. 15.51.20-7 9. 46. 17-49 11-17 66-32 8.73 3.14 7.02 1.49 24 32-0 2.83 29 94. 43. 27-59 30-84 56-75 15.34 1.4( 35-9 6. 18. 25. 42-6 53. 34. 55-14 51-26 63-88 12.89 2.62 7.78 0.78 07 33-1 2.53 16 95. 3. 17-46 17-81 69-65 15.66 0. 73 40-0 21. 5. 17.40-0 231. 19. 35-70 34-51 61-19 1.01 1.46 0.23 0.80 07 36-8 0.09 38 84. 55. 65-64 57-02 68-62 4.72 1.25 10-4 23. 6.55.55-2 257.33.53-16 52-21 60-95 0.05 1.92 0.51 0. 22 14 37-2 0.40 46 86. 3.13-14 15-19 57-95 6.00 1.61 7-9 25. 8.47. 4-6 285. 37. 11-32 4-04 67-28 0.60 2.45 1.46 0.00 32 37-6 0.88 51 88. 8.37-45 41-52 55-93 8.32 1.85 7'7 27.10.45.30-0 315. 38. 62-60 55-10 67-50 2.68 2.91 2.88 0.33 50 38-2 1.46 53 90. 50. 46-56 57-20 49-36 11.30 1.89 10-7 28.11.44.12-8 331.14.23-28 19-64 63-64 4 18 3.07 3.70 0.64 54 38-3 1.75 52 92. 12. 11-29 17-51 53-78 12. 78 1.80 13-3 30. 13.39. 14-2 2. 49. 33-78 32-08 61-70 7.64 3.17 5.34 1.27 48 38-7 2.28 48 94. 20. 53-68 60-02 53-66 15.08 1.47 '20-2 Sep. 4. 18. 5.52-8 76. 49. 45-73 42-31 63-42 13.81 2.26 7.75 0.94 08 39-6 2. 82 27 93. 56. 11-70 10-33 61-37 14.44 0.39 36-4 20. 5.40. 7-5 265. 44. 26-08 29-00 57-08 0.03 2.02 0.23 0.65 07 41-3 0.00 30 86. 45. 28-74 27-77 60-97 6.70 1.71 15-9 21. 6. 34. 12-9 279. 21. 37-25 35-32 61-93 0.25 2.28 0.35 0.35 11 41-3 0.03 35 87.47. 5-81 2-53 63-28 7.87 1.82 13-3 22. 7. 30. 28-2 293. 26. 24-54 23-89 60-65 0.88 2.54 0. 66 0. 12 17 41-4 0.12 39 88. 58. 25-81 34-69 51-12 9.22 1.89 10-8 23. 8. 27. 58-6 308. 1. 6-84 2-00 64-84 1.88 2.78 1. 13 0.01 27 41-4 0.27 43 90. 16. 17-47 25-47 52-00 10.68 1.90 9-0 24. 9.25.42-0 323. 5. 4-57 2-06 62-51 3.21 2.98 1.78 0.03 37 41-5 0.46 47 91. 35. 28-78 32-24 56-54 12. 16 1.85 7-8 26. 11.19. 7-5 354. 21. 59-04 55-92 63-12 6.54 3. 18 3.29 0.47 52 41-5 0.96 51 93. 52. 7-74 11-41 56-33 14.68 1.56 7-9 27. 12. 16. 53-4 10.17.61-42 57-97 63-45 8.31 3.16 4.12 0.80 54 41-6 1.25 52 94. 37. 10-44 12-45 57-99 15.49 1.35 9-3 28. 13. 11.52-3 26. 7.25-91 21-75 64-16 9.98 3.06 4.94 1. 12 51 41-6 1.54 53 95. 0. 36-77 38-38 58-39 15.89 1.11 11-7 29. 14. 6.47-3 41. 39. 54-60 53-01 61-59 11.46 2.89 5.72 1.37 44 41-6 1.83 52 95. 1.22-94 21-89 61-05 15.87 0.86 14-6 Oct. 1.15.56.58-6 71.21.28-13 39-18 48-95 13.49 2.43 6.98 1.49 24 41-6 2.34 47 94. 2.25-78 24-97 60-81 14.70 0.44 21-2 18. 4.28.10-9 274.42. 3-32 4-79 68-53 0.07 2.12 0.37 1.11 11 40-7 0.39 15 87. 39. 60-80 58-97 61-83 7.58 1.80 29-0 19. 5.22.21-9 288. 15. 30-29 35-06 55-23 0.44 2.38 0.24 0.81 07 40-6 0.21 18 88. 46. 52-61 48-34 64-27 8.86 1.88 26-0 21. 7.13.12-4 316.30.43-93 40-22 63-71 2.35 2.86 0.48 0.23 13 40-3 0.01 27 91. 14. 43-75 45-56 58-19 11.67 1.87 19-2 22. 8. 8.27-5 331. 10. 9-36 4-85 64-51 3.79 3.04 0.87 0.05 22 40-2 0.00 31 92. 26. 52-36 56-42 55-94 13.03 1.78 15-9 27.12.44.41-2 48. 55.55-19 46-75 68-44 11.94 2.82 4.47 0.96 53 39-5 0.77 50 94. 46. 28-88 27-74 61-14 15.67 0.73 7'5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Snb. Sub. Sub. Sub. Sub. 60'-00 7.02 2.00 4.00 0. 76 30 20-8 g \ 1.42 30 60-00 g \ 10.21 1.00 23-7? SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [95] n Greenwich s. ^ . a ^ ti> ^j Ecliptic '3 -0 ~S U> Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds ofTabulai Longitude Excess of Observe Longitude ft Rf Change for ( in Argumen! Parallactic Inequality Variation. Change for ( in Argumen Annual Equation. Evection. Change for ( in Argumen N.P.D. of Moon's Center from Observation. Seconds o Tabular Ecli N. P. D. Excess of (J served Eclip N.P.D. Effect of Mean Incliuatior ? e 11 si I -' K W 1 TTTfi d h in 8 o / // " a g \ g * \\ g > O I It a g v \\ Oct. 29. 14. 38. 3-0 78. 52. 31-33 29-16 62-17 13.70 2.33 6.07 1.45 40 39-1 1.33 53 93. 22. 54-47 51-35 63-12 14.09 0.34 9-8 30. 15. 34. 18-7 93. 4.27-23 34-38 52-85 14.00 2.06 6.71 1.52 30 38-9 1.62 62 92. 21. 50-68 49-31 61-37 12.93 0.21 12-0 31.16.28.59-4 106. 44. 25-58 30-67 54-91 13.90 1.81 7.22 1.44 20 38-7 1.91 51 91. 14. 35-27 35-22 60-05 11.66 0.13 14-6 Nov. 1.17.21.15-7 119. 55. 19-77 21-48 58-29 13.43 1.57 7.58 1.24 12 38-6 2.17 49 90. 5.35-43 31-16 64-27 10.35 0. 10 17-2 2. 18. 10. 43-9 132.42. 7-24 7-60 59-64 12.64 1.37 7.75 0.96 08 38-4 2.40 46 88. 58. 15-00 10-71 64-29 9.07 0.12 20-2 3. 18. 57. 27-3 145. 10. 49-36 50-46 58-90 11.57 1.21 7.75 0.64 08 38-2 2.59 43 87. 55. 32-25 24-67 67-58 7.88 0.18 22-9 17. 5. 8. 3-5 311.48.40-72 36-89 63-83 1.61 2.73 0.28 0.98 09 35-0 0.78 10 91. 6.22-14 21-99 60-15 11.34 1.88 34-9 18. 6. 1.57-4 326. 2.21-66 20-54 61-12 2.86 2.93 0.23 0.66 07 34-8 0.54 13 92. 17. 42-54 44-53 58-01 12.69 1.81 32-0 20. 7.47.10-3 355. 22. 28-06 28-28 59-78 6.09 3.17 0.66 0.13 17 34-3 0.17 19 94. 13. 29-68 34-58 55-10 14.91 1.51 25-2 21. 8.39.15-9 10.26.39-83 44-77 55-06 7.87 3.17 1.13 0.01 26 33-8 0.06 24 94. 48. 46-89 50-50 56-39 15.60 1.30 21-7 23. 10. 25. 44-3 41. 0.51-46 52-57 58-89 11. 11 2.94 2.44 0.19 46 33-2 0.01 33 94. 67. 57-88 56-11 61-77 15.83 0.83 14-6 24.11.21. 7-6 56. 15.15-13 5-24 69-89 12. 39 2.74 3.23 0.45 52 33-0 0.07 37 94. 30. 35-63 35-28 60-35 15.35 0.60 11-8 25. 12. 20. 17-0 71. 17.11-65 1-41 70-24 13. 32 2.49 4.06 0.78 54 32-7 0.19 41 93. 44. 46-85 44-26 62-59 14.51 0.41 9-7 26. 13. 17. 44-3 85. 56. 20-03 12-25 67-78 13.86 2.23 4.88 1. 10 51 32-4 0.37 45 92. 44. 55-25 54-80 60-45 13.42 0.25 8-2 30. 16. 50. 52-0 140. 0. 58-52 55-09 63-43 12. 26 1.30 7.39 1.36 16 31-0 1.41 53 88. 5.52-82 45-46 67-36 8.23 0.16 9-3 Dec. 1.17.36.58-1 152. 33. 49-l(i 45-74 63-42 11.10 1.15 7.67 1.12 10 30-7 1.70 52 87. 5.63-74 59-75 63-99 7.11 0.24 11-0 2. 18. 20. 40-7 164. 53. 23-53 24-47 59-06 9.76 1.05 7.78 0.81 07 30-4 1.98 51 86. 15. 30-55 24-55 66-00 6.15 0.37 129 3.19. 2.46-4 177. 5.51-22 56-96 54-26 8.28 0.99 7.70 0.51 09 30-1 2.23 48 85. 35. 39-57 34-63 64-94 5.39 0.52 15-2 16. 4.52. 5-9 336. 10.29-39 28-36 61-03 3.42 3.00 0.38 1.13 11 25-8 1.54 08 93. 15. 33-24 35-73 57-51 13.68 1.71 39-6 17. 5.43.4(5-6 350.42. 7-76 5-88 61-88 5.02 3.13 0.24 0.83 07 25-4 1.25 08 94. 10. 38-54 41-67 56-87 14.72 1.55 38-4 18. 6.34.32-4 6. 20. 62-95 59-37 63-58 6.77 3.18 0.26 0.51 08 25-1 0.97 09 94. 49. 59-55 59-06 60-49 15.46 1.36 36-6 19. 7.25.10-0 20. 5. 43-41 44-28 59-13 8.53 3.15 0.46 0.24 13 24-8 0.71 11 95. 10. 24-66 29-81 54-85 15.87 1.13 34-1 21. 9. 9.17-8 49. 41. 62-49 59-38 63-11 11.63 2.87 1.37 0.00 31 23-8 0.28 17 94.50. 2-36 0-71 61-66 15.55 0.68 27-8 23.10.59.56-1 78. 58. 46-34 33-59 72-75 13.57 2.39 2.83 0.30 49 23 1 0.04 25 93. 14.61-10 59-38 61-72 13.86 0. 31 20-7 24. 11.56.43-0 93. 16. 52-36 40-50 71-86 13.96 2. 13 3.64 0.61 53 22-8 0.00 29 92. 8. 15-18 5-28 69-90 12.65 0.19 17-2 30. 16. 57. 39-9 171.58. 37 35 28-33 69-02 9. 21 1. 02 7.50 1.26 13 20-5 0.91 51 85.41.57-14 52-09 65-05 5.59 0.47 7-4 1777. Jan. 1.18.20.38-6 196. 25. 27-48 24-48 63-00 6.18 0.98 7.75 0.67 08 19-8 1.48 53 84. 49. 29-46 24-43 65-03 4.61 0.82 8-4 13. 3. 40. 20-4 346. 6.43-61 40-70 62-91 4.02 3.06 0.94 1.42 22 15-8 2.47 15 93.59.19-71 19-13 60-58 14.51 1.59 37-2 16. 6.13.29-3 30. 22. 61-76 59-51 62-25 9. 17 3.12 0.23 0.68 07 14-6 1.74 09 95. 16. 48-43 52-83 55-60 15.92 0.95 39-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. g <. \ \\ \ \\ K \ ( e \ \\ s \ \ \> , 60-00 7.02 2.00 4. 00 0. 76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 [96] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. lixcess of Observed Longitude. if c Change for OS- 1 in Argument. Parallactic Inequality. Variation. Change for Os ! 1 in Argument. 3 ' || Evcction. Change for OB- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. ' S '3 U L g - Change for fls- 1 1 in Argument. Evcction in E. N.P.D. 1777. d " '" ! Jan. 20. 9.46.28-9 87. 38. 30-43 27-60 68-83 13-77 2.29 1.68 0.02 30 13-3 0.64 12 o / // 92. 37. 0-93 II 2-47 // 58-46 e < 13.03 0. 22 335 27. 15. 34. 18-8 179. 6.61-44 54-17 67-27 8.65 1.00 6.91 1.50 26 10-9 0. 13 39 85. 20. 39-72 43-47 56-25 5.14 0.59 13-3 28. 16. 15. 48-0 191. 21. 69-62 59-49 70-13 7.13 0.97 7.37 1.38 17 10-6 0.28 43 84. 55. 35-51 37-06 58-45 4.70 0.77 11-2 29.16.57. 3-8 203. 34. 34-90 23-70 71-20 5.60 0.99 7.65 1.14 10 10-0 0.47 47 84.44.21-78 22-39 59-39 4.50 0.95 9-6 30. 17. 38. 59-0 215.49.14-84 10-48 64-36 4.14 1.06 7.77 0.84 07 9-7 0.71 50 84.47.22-78 22-96 59-82 4.57 1. 15 8-4 Feb. 1. 19. 8. 13-7 240. 47. 41-76 40-99 60-77 1.68 1.32 7.47 0.27 14 9-2 1.26 52 85. 36. 36-40 37-81 58-59 5.49 1.51 7-4 2. 19.56.59-4 253. 42. 26-28 21-55 64-73 0.80 1.51 7.06 0. 10 22 8-9 1.55 52 86. 22. 17-47 21-60 55-87 6.33 1.66 7-8 15. 6. 47. 36-8 69. 20. 16-97 9-60 67-37 12.54 2.70 0.26 0.53 08 5-4 2. 19 12 93. 51. 35-91 39-44 56-47 14.36 0.38 39-2 16. 7.41.55-4 83. 18. 30-34 22-88 67-46 13.42 2.46 0.46 0.25 13 5-2 1.94 09 92. 53. 45-32 46-83 58-49 13.28 0.24 39-9 17. 8.36.24-5 96. 59. 20-35 13-19 67-16 13.91 2.19 0.84 0.06 21 5-0 1.66 08 91.47. 5-64 5-73 5991 12.04 0.15 39 '9 19. 10. 22. 23-8 123.34.45-17 44-27 60-90 13.71 1.68 2.03 0.08 41 4-6 1.09 09 89. 23. 55-35 58-24 57-11 9.41 0.11 38-1 22. 12. 47. 2-2 161. 54. 19-72 25-66 54-06 10.94 1. 14 4.42 0.92 53 3-8 0.37 15 86.20. 6-41 7-72 58-69 6.05 0.38 31-8 24. 14. 12. 4-2 186.39.34-17 34-73 59-44 8.09 0.98 5.97 1.43 41 3-4 0.08 23 85. 9. 16-27 19-24 57-03 4.79 0.72 26-3 25. 14. 53. 22-0 198.53.38-26 36-96 61-30 6.55 0.97 6.63 1.52 31 3-2 0.01 27 84. 53. 45-34 48-55 56-79 4.53 0.90 23-5 26. 15. 34. 52-0 211. 5.56-64 48-88 67-76 5.04 1.01 7.16 1.46 21 3-0 0.00 32 84.52. 11-51 15-87 55-64 4.53 1.10 20-7 Mar. 14. 4. 41. 30-0 64. 28. 55-20 51-33 63-93 11.82 2.84 0.55 1.27 14 0-8 2.83 29 93.57. 11-40 14-39 57-01 14.58 0.42 27-3 18. 8.19.22-8 119. 33. 58-77 51-14 67-63 13.93 1.83 0.60 0.15 16 0-4 2.36 14 89. 37. 18-99 12-85 66-14 9.67 0.10 37-7 20. 9.57.19-9 145. 10. 9-90 8-21 61-69 12.74 1.39 1.63 0.02 35 0-3 1.87 09 87.28. 6-18 3-35 62-83 7.24 0.23 39-8 21.10.42.40-1 157. 41. 33-85 29-57 64-28 11.70 1.22 2.33 0. 16 45 0-2 1.59 08 86. 34. 46-62 46-38 60-24 6. 25 0.35 40-0 22.11.26. 2-7 170. 5. 19-85 20-70 59-15 10.43 1. 10 3. 12 0.42 51 0-2 1.30 08 85. 51. 56-93 55-70 61-17 5.40 0. 50 39-7 24. 12. 51. 23-8 194. 39. 34-85 44-46 50-39 7.50 0.97 4.76 1.06 52 o-i 0.70 10 85. 3.26-61 21-01 05-00 4.57 0.86 37-5 25. 13. 32. 43-9 206. 52. 43-60 50-96 52-64 5.98 0.98 5.56 1.33 46 0-1 0.52 13 84. 59. 18-85 20-03 58-82 4.50 1.05 35-8 2f. 14. 14.46-4 219. 0. 6-42 11-39 55-03 4.49 1.04 6.27 1.49 37 o-o 0.32 16 85. 9. 9-12 0-83 02-29 4.70 1.24 33-7 29. 16. 31. 14-0 256. 16. 27-41 26-89 60-52 0.98 1.46 7.64 1.16 10 o-o 0.00 28 86.56. 3-41 0-61 02-80 6.75 1.72 25-6 April 13. 5. 20. 10-7 101.36.31-26 24-79 66-47 13.83 2.26 0.40 1. 15 11 0-6 2.70 37 90.56.56-18 55-25 60-93 11.31 0.12 20-7 10. 7.55.30-0 141.12. 16-24 6-03 70-21 13.25 1.51 0.44 0.26 12 0-9 2.77 24 87. 34. 16-35 12-97 6338 7.46 0.21 29-9 17. 8.41.30-0 153. 46. 15-51 8-32 67-19 12.37 1.32 0.81 0.07 20 1-1 2.66 19 86,40.15-21 12-97 62-24 6.43 0.33 32-7 18. 9.25.13-5 166. 9. 32-45 27-18 65-27 11.24 1.17 1.33 0.00 30 1-2 2.50 16 85. 56. 41-14 34-56 66-58 5.60 0.47 34-9 19.10. 7.19-8 178.26. 11-02 8-26 62-76 9.91 1.06 1.98 0.07 40 1-3 2.30 13 85. 24. 45-42 43-61 61-81 4.99 0.64 36-9i Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub 6o"-00 7.02 2. 00 4.00 0.76 30 20-8 1.42 30 60-00] 10. 21 1. 00 23-7- SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [97] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation . lit 5-i c CO <~ J Excess of Observed Longitude. aj Change for 0- 1 in Argument. Parallactic Inequality. Variation. Change for OS- ll in Argument. Annual Equation. Evection. Change for Os-l in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. 3 " Effect of Mean Inclination. Change for 0"-1 1 in Argument. 1 1777. " " m . O ' /' tf n s % > * g ' " > r ' " o / " ft " g V \\ April 22. 12. 13.26-1 215. 7. 9-60 14-46 55-14 5.40 1.00 4.36 0.89 54 1-6 1.52 08 85. 8.36-26 37-15 59-11 4.64 1.20 39-4 24. 13.41.15-7 239. 46. 2S-54 34-48 54-06 2.64 1.19 5.92 1.42 42 2-0 0.96 09 86. 5. 11-39 16-14 55-25 5.69 1.55 39-5 25. 14. 28. 15-6 252. 15. 39-24 44-04 55-20 1.54 1.35 6.58 1.51 32 2-2 0.70 11 86.51.34-51 40-11 54-40 6.55 1.69 38-4 26. 15. 17. 31-5 264. 54. 22 02 26-65 55-37 0.70 1.54 7.12 1.47 22 2-3 0.47 14 87. 47. 56-69 61-02 55-67 7.61 1.80 37-0 May 11. 4. 4. 27'3 109. 32. 29-08 16-70 72-38 13.94 2.15 1.01 1.43 23 5-2 2.07 50 90. 0.55-83 51-78 64-05 10.38 0.10 97 12. 4.59. 17-1 123. 16. 15-74 11-91 63-83 13.98 1.89 0.57 1.28 15 5-4 2.31 47 88. 47. 56-88 57-13 59-75 9.01 0. 12 11-7 14. 6.38.29-6 149. 23. 46 04 37-97 68-07 12.95 1. 44 0.22 0.71 07 5-9 2.68 40 86. 43. 59-01 54-26 64-75 6.66 0. 30 16-5 16. 8. 6. 8-9 174.19.31-86 26-78 65-08 10.76 1.12 0.57 0.16 16 6-3 2.83 32 85. 22. 62-50 57-31 65-19 5.10 0.60 22-2 17. 8.47.33-6 186.34. 7-01 3-81 63-20 9.37 1.03 1.01 0.02 25 6-6 2.82 27 85. 1.44-33 40-20 64-13 4.67 0.78 25-2 18. 9.28.313 198. 46. 7-36 1-03 66-33 7.88 0.98 1.59 0.01 35 7-0 2.75 23 84.54. 7-81 2-58 65-23 4.50 0.97 28-0 21.11.36.38-2 235. 39. 46-89 38-15 68-74 3.44 1. 11 3.88 0.71 54 7-8 2.25 12 85. 53. 60-59 56-07 64-52 5.53 1.51 35-4 25. 14. 58. 7-3 286.51. 10-47 7-76 62-71 0.08 1.87 6.83 1.51 27 9-1 1.16 08 89. 50. 17-84 22-60 55-24 9.85 1.90 40-0 26.15.51.25-0 300. 10. 3-45 5-96 57-49 0.07 2.13 7.31 1.40 18 9-3 0.89 10 91. 2. 17-61 10-40 67-21 11.19 1.89 39-8 27. 16.44. 29-7 313.45. 1-68 6-06 55-62 0.47 2. 39 7.63 1. 18 11 96 0.63 12 92. 12. 1-04 1-09 59-95 12. 49 1.83 38-9 June 12. 6. 2. 40'1 169. 37. 55-33 50-44 64-89 11.54 1.20 0.25 0.88 08 14-5 2.13 49 85. 24. 29-21 25-11 64-10 5.25 0.55 9-1 13. 6.44.53-8 182. 1.42-45 42-67 59-78 10. 25 1.08 0.25 0.57 08 14-8 2.37 47 84. 58. 43-08 36 32 66-76 4.76 0.73 10-5 18. 10. 19.23-7 243. 36. 52-47 41-32 71-15 2.94 1.15 2. 66 0.25 48 16-7 2.81 26 86. 19. 27-25 32-15 55-10 6.13 1.63 22-9 20.11.57.42-8 269. 15. 38-13 23-63 74-50 0.87 1.49 4.30 0.87 54 17-3 2.59 18 88.18.33-26 32-88 60-38 8.27 1.85 29-0 23. 14. 40. 56-7 309. 32. 10-59 2-61 67-98 0. IS 2.23 6.54 1.51 32 18-2 1.93 09 91. 56. 18-01 16-85 61-10 12.23 1.84 36-7 24. 15. 33. 58-3 323. 25. 33-70 22-15 71-55 0.72 2.49 7.09 1.48 2-2 18-6 1.65 08 93. 3.31-82 32-40 59-42 13.46 1.74 38-4 26. 17. 16. 13-5 351.52.22-02 14-83 67-19 2.91 2.94 7.72 1. 04 09 19-5 1.08 09 94.44. 5-41 6-84 58-57 15.32 1.40 40-0 July 8. 3. 10. 7'7 151.18.48-46 38-55 69-91 13.15 1.49 1.59 1.45 34 23-3 0.55 48 86. 22. 25-58 16-6J 68-97 6.29 0.35 12-2 10. 4.39.57-7 176.56. 7-36 1-06 66-30 11.08 1. 15 0.60 1.29 15 24-0 1.08 52 85. 4.10-39 6-84 63-55 4.88 0.68 8-8 11. 5.21.55-0 189.21.60-78 52-85 67-93 9.72 1. 05 0.33 1. 04 09 24-6 1.36 53 84. 46. 46-05 36-07 69-98 4.56 0.87 79 13. 6.44.39-3 213.53. 4-15 7-13 57-02 6.72 0.97 0.30 0.43 09 25-2 1. 93 51 84. 55. 16-25 4-95 71-30 4.72 1.25 7-6 14. 7.27.18-0 226. 9. 9-33 12-84 56-49 5.20 1.00 0.55 0. 18 15 25-6 2. 19 49 85. 20. 30-20 23-12 67-08 5.18 1.43 8-1 15. 8.11.53-3 238. 32. 29-42 33-12 56-30 3.77 1.08 0.97 0.03 24 25-9 2.42 46 85. 58. 54-94 52-62 62-32 5.88 1.59 9-3 16. 8.59. 2-2 251. 7.51-83 47-92 63-91 2.48 1.21 1.55 0.01 34 26-2 2.60 42 86. 49. 32-15 30-25 61-90 6.80 1.72 11-0 17. 9.49. 0-0 263.58.55-18 45-93 69-25 1.40 1.37 2.23 0. 13 43 26-5 2.74 38 87. 50. 42-04 38-96 63-08 7.91 1.82 12-9 Sub. 60'-00 Sub. e \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. K s 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. i. oo Sub. 23-7 2.00 4.00 1 GREENWICH LUNAR REDUCTIONS. [O] [98] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon*s Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. *? Is 3 Sf Change for OS 1 1 in Argument. Parallactic Inequality. Variation. Change for 08-1 1 in Argument. 11 < Evection. Change for OS- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. L Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. Change for fls-1 1 in Argument. Evection in E. N.P.D. 1777. >*' July 23. 15. 13. 6'4 O ' " 347.21.47-16 tr 27-33 ft 79-83 s - 2.09 \ \\ 2.82 \ \\ 6.83 1.51 27 28-6 2.35 13 o / // 94. 31. 54-29 ff 54-18 it 60-11 g * 15.17 V \\ 1.45 31-8 Aug. 11. 0. 5.12-4 233. 22. 25-30 22-37 62-93 4.65 1.03 0.25 0.59 08 34-3 1.14 52 85.46.16-61 3-38 73-23 5.65 1.54 9-8 14. 8.29.69-1 271.14.41-45 38-68 62-77 1.07 1.44 1.25 0.00 28 35-0 2.00 51 88. 31.50-21 45-13 65-08 8.74 1.87 7-4 15. 9.23.24-6 284. 30. 43-53 43-35 60-18 0.39 1.66 1.88 0.05 39 35-3 2.26 48 89. 42. 58-83 58-16 00-67 10.05 1.90 7-7 17.11. 13.54-0 312. 17. 1-71 5-30 56-41 0.10 2.17 3.41 0.52 53 35-7 2.64 41 92. 9.56-36 57-94 58-42 12. 75 1.81 10-2 18.12. 8.49-7 326. 45. 45-60 40-51 65-09 0.55 2.43 4.24 0.85 54 36-0 2.76 37 93. 16. 18-92 16-94 61-98 13.96 1.68 12-6 19.13. 4.52-1 341.34.25-80 17-70 68-10 1.39 2.68 5.05 1.16 50 36-4 2.82 33 94. 10. 59-55 5654 63-01 14. 94 1.50 15-4 20.13.57.23-1 356. 34. 30-38 16-02 74-36 2.58 2.90 5.82 1.40 43 36-6 2.83 28 94.49. 7-51 5-85 01-66 15.61 1.29 18-9 21. 14.49. 6-5 11.40.23-15 3-42 79-73 4.06 3.06 6.49 1.51 33 36-8 2.77 23 95. 7. 36-52 30-83 05-00 15. 92 1.06 22-4 23.16.33. 1-4 41.43.30-81 10-33 80-48 7.49 3. 18 7.47 1.32 14 37-2 2.50 16 94.41. 4-93 6-89 58-04 15.35 0.61 29-7 26. 19. 18. 7'4 85. 25. 38-49 27-87 70-62 12. 15 2.78 7.65 0.44 10 38-0 1.78 09 91.54. 19-83 15-81 64-02 12. 18 0.15 37-6 Sep. 8. 4.44.11-1 240.44. 5-53 11-71 53-82 4. 10 1.06 0.34 1.07 10 40-0 0.25 43 86. 23. 8-87 7-57 61-30 6.23 1.65 21-2 9. 5.30.40-1 253. 3.62-01 59-11 62-90 2.78 1.17 0.23 0.70 07 40-1 0.44 46 87. 14. 17-47 6-10 71-37 7.21 1.77 18-4 10. 6.19.38-7 265. 30. 25-61 20-48 65-13 1.64 1.33 0.29 0.45 09 40-2 0.67 49 88. 13. 60-48 52-85 67-63 8.34 1.85 15-6 11. 7.11. 3-7 278.27. 7-17 5-28 61-89 0.77 1.52 0.53 0. 19 15 40-4 0.93 51 89. 20. 26-19 23 04 63-15 9.59 1.90 13-1 13. 8.59. 3-5 305. 23. 48-73 48-09 60-64 0.03 2.00 1.50 0.01 33 40-6 1.51 63 91.41.53-53 57-31 50-22 12.26 1.84 9-2 14. 9.53.56-4 319. 35. 56-05 57-34 58-71 0.23 2.27 2.18 0.12 43 40-7 1.80 52 92.49. 5-33 7-68 5765 13. 51 1.74 7-9 15.10.48.24-8 334. 17. 17-74 19-59 58-15 0. 82 2.53 2.94 0.36 50 40-8 2.08 50 93. 47. 22'38 21-34 61-04 14.59 1.58 7-4 16.11.42.11-1 349. 23. 58-08 57-27 60-81 1.80 2.77 3.82 0. 67 54 40-9 2.32 47 94. 31. 25-70 24-50 61-14 15.40 1.38 7-7 17. 12. 37. 42-7 4. 50. 19-67 8-20 71-47 3. 11 2.97 4.65 1. 00 53 41-0 2.52 44 94. 56. 48-70 47-10 61-00 15.85 1. 15 8-9 18. 13. 30.544 20.23.53-67 35-16 78-51 4.67 3.11 5.45 1.29 47 41-1 2.68 40 95. 0.37-18 33-10 64-08 15.90 0.90 10-8 20. 15. 19. 30-4 51. 10.34-23 19-50 74-73 8.17 3.17 6.79 1.51 28 41-3 2.83 31 94. 3. 45-24 41-01 64-23 14.78 0.46 16-5 22.17.13. 78 81. 0. 42-65 30-42 66-23 11.36 2.91 7.61 1.20 11 41-4 2.74 22 92. 2.28-48 29-13 59-35 12. 46 0. 17 23-7 24.19. 7. 5-1 109. 15. 14-29 1-11 73-18 13.44 2.45 7.74 0.59 08 41-5 2.44 15 89. 36. 22-15 23-90 58-19 9.68 0.10 30-4 25.20. 1.28-8 122.51.24-24 10-14 74-10 13.92 2.18 7.53 0.31 13 41-5 2.22 12 88. 25. 58-04 50-30 61-74 8.35 0. 15 33-1 Oct. 6. 3.25.31-5 248. 30. 38-72 37-48 61-24 3.59 1.10 0.84 1.40 21 41-5 0.02 26 87. 8.61-07 41-13 79-94 6.94 1.74 34-1 8. 5. 2.37-5 273. 17. 39-30 38-59 60-77 1.28 1.40 0.26 0.93 08 41-4 0.04 36 89. 8. 57-73 60-24 57-49 9.23 1.89 29-0 9. 5.54. 39 280. 3. 12-90 10-77 62-13 0.52 1.00 0. 24 0.61 08 41-4 0.14 40 90.16.22-10 19-97 6-2-13 10.50 1. 90 20-3 10. 6. 4(5. 45-3 299. 10. 52-50 50-05 61-85 0. 10 1.84 0.38 0.32 11 41-4 0.30 44 91.24.42-38 43-72 58-00 11.80 1.86 22-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7*. 02 \ \\ 2.00 4.00 0. 70 \\ 30 | 20-8 ff \ 1.42 30 oo-oo 10.2i S *\ 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [99] Greenwicb Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for 0- 1 in Argument. __ d H-2 5 Ta Evection. Change for 08-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic I N. P. D. A* O .0. . WB; Id 1 Effect of Mean Inclination. Change for OS- 1 1 in Argument. Id lim (1 tl In s o / a n ti g > > e \\ > s * f II n n K N \ \\ Oct. 11. 7.40. 1-3 312.45.51-21 46-43 64-78 0.06 2. 10 0.72 0.10 18 41-3 0.50 47 92. 30. 37-92 39-60 58"26 13.05 1.78 19-9 12. 8.33.18-1 326. 51. 52-34 48-00 64-34 0.40 2.36 1.21 0.00 28 41-2 0.74 50 93. 29. 49-70 55-60 54-10 14. 18 1.65 16-5 13. 9.26.20-7 341.30.28-14 25-00 63-14 1. 14 2. 62 1.83 0.04 38 41-1 1.01 52 94. 17. 45-00 46-85 58-16 15.09 1.47 13-5 15. 11. 12. 32-3 12. 13.64-55 53-45 71-10 3.66 3.03 3.35 0.50 53 41-0 1.59 52 95. 0.41-35 44-79 56-56 15.93 1.01 9-0 16. 12. 9. 6-9 28. 4.66-45 48-06 78-39 5.31 3.14 4.18 0.83 54 40-9 1.88 51 94. 49. 25-74 28-34 57-40 15.73 0.76 7-8 17. 13. 4. 58-4 43.57.50-18 34-30 75-88 7.07 3. 18 5.00 1.15 50 40-8 2.14 49 94.15.59-01 55-07 63-94 15. 11 0.53 7-4 18.14. 2.41-6 59.41.31-84 24-64 67-20 8.82 3.14 5.77 1.39 43 40-7 2.38 47 93. 23. 12-20 8-26 63-94 14. 12 0.34 8-1 19. 15. 1. 58-1 75. 5.55-12 55-74 59-38 10.46 3.02 6.45 1.51 34 40-6 2.57 43 92. 16. 24-16 19-83 64-33 12. 86 0.20 9-6 20. 16. I. 46-8 90. 3.56-47 65-43 51-04 11.86 2.83 7.06 1.49 23 40-4 2.72 39 91. 1.47-10 41-48 65-62 11.46 0.12 11-7 21. 17. 0. 39-6 104. 32. 35-77 43-39 52-38 12.95 2.60 7.47 1.33 15 40-3 2.80 34 89. 45. 11-45 15-96 55-49 10.02 0.10 14-3 22. 17. 57. 10-4 118.32. 9-42 8-77 60-65 13.67 2.35 7.71 1.07 09 40-2 2.83 30 88. 32. 9-48 11-11 58-37 8.62 0. 14 17-2 Nov. 7. 5.31.47-1 307. 23. 55-06 52-20 62 '86 0.04 1.94 0.23 0.78 07 37-4 0.01 28 92. 20. 50-86 47-62 63-24 12.70 1.81 35-4 8. 6. 23. 20-6 320. 50. 30-05 21-57 68-48 0. 14 2.20 0.28 0.47 09 37-2 0.01 32 93. 20. 35-36 37-73 57-63 13.84 1.70 32-9 9. 7. 14. 30-5 334. 44. 35-90 28-66 67-24 0.64 2.46 0.51 0.20 14 37-0 0.06 37 94. 10.45-15 48-93 56"22 14.80 1.54 29-9 11. 8.56.44-7 4. 4.60-27 54-18 66-09 2.75 2.92 1.50 0.00 33 36-6 0. 35 45 95. 5.42-22 41-90 60-32 15.89 1.11 22-9 14. 11.40.20-5 14.11.42.44-6 51. 8.50-19 51. 10.22-07 30-54 2-36 79-65 79-71 7.73 7.73 3.17 3. 17 3.76 3.76 0.65 0.65 54 54 35-7 35-7 1.09 1.09 52 52 93.51. 0-41 93. 50. 54-45 3-31 57-86 57-10 56-59 14.61 14.61 0. 42 0.42 12-6 12-6 15. 12. 42. 25-6 67. 3.44-60 27-60 77-00 9.45 3.10 4.59 0.99 53 35-5 1.38 53 92.46. 5-44 13-60 51-84 13. 43 0.26 10-1 16. 13. 44. 3-4 82. 42. 50-98 46-04 (64-94) 11.02 2.95 5.40 1.28 47 353 1.67 52 91. 29. 47-44 40-34 (67-10) 12.03 0.15 8-4 18. 15. 46. 6-9 112.42.10-58 21-47 49-11 13.27 2.51 6.75 1.52 29 34-8 2.22 49 88. 48. 52-18 57-10 55-08 9.05 0.12 7-5 19. 16.42.51-0 126.54. 5-06 13-02 52-04 13.84 2.25 7.25 1.43 19 34-3 2.44 46 87. 36. 48-25 46-55 61-70 7.71 0.19 8-2 22. 19. 9. 12-1 166. 39. 56-93 59-50 57-43 13.23 1.51 7.74 0.61 08 33-5 2.82 33 85.13.19-86 17-48 62-38 4.99 0.63 13-7 23. 19. 52. 0-9 179. 14. 32-98 35-16 57-82 12.34 1. 32 7.56 0.33 12 33-2 2.83 29 84. 53. 58-29 58-79 59-50 4.61 0.82 17-1 Dec. 6. 5. 9.23-7 329. 49. 36-40 36-11 60-29 0.28 2. 30 0.27 0.95 08 29-2 0. 30 16 94. 4.59-43 59-88 59-55 14.58 1.58 39-8 7. 5.58.45-0 3 43. 37. 20-84 12-26 68-58 0.93 2.56 0.24 0.63 07 28-9 0.15 20 94.45. 17-04 16-63 60-41 15.34 1.40 39-0 11. 9.22. 7-4 42. 48. 57-78 54-22 63-56 6. 61 3. 18 1.78 0.04 37 27-7 0.09 38 94. 21. 53-92 53-68 60-24 15.02 0.51 29-2 13.11.19. 98 74. 6.38-30 25-52 72-78 10.05 3.05 3.29 0.48 52 26-7 0.40 46 92.12. 9-48 8-38 61-10 12.69 0.19 21-7 16. 14. 27. 8-0 119. 54. 34-72 36-96 57-76 13.53 2.41 5.77 1.38 44 25-8 1.17 52 88. 5. 20-39 23-61 56-78 8.22 0. 16 11-8 21. 18. 30. 59-2 187. 7.14-74 19-42 55-32 11.94 1.26 7.78 0.78 07 23-8 2.49 45 84.42.50-10 49-05 61-05 4.50 0.97 7-9 Sub. Sub. Sub Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 60*00 7.02 2.00 4.00 6.76 30 20-8 K \ 1.42 \\ 30 60-00 10.21 i.oo 237 [0]2 [100] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich ~ rl r Ecliptic ^ '. == - Meiin Solar Time of Longitude of 111 05 > 12 fj o a - -- %'"% c o o ll n 'Z c o S N.P. D. of !So 3 u n" ?to a J S g g o 5 2 i .0 IX Observation of Moon's Center from I* 3 ? WO o If || It 3 V tf. J c a =^ 1 &j ec Moon's Center from 3 Z _r pi slz I 1 '! M a S< |z Moon's Limb. Observation. o-l o j 5.B 0.2 5.5 Observation. M 3! 5.5 MM 1778. " " m 1 " n s v > e * \\ * > g v O 1 it // e > \ \\ ' Jan. 17. 16. 24. 54-6 181.41.22-40 26-25 56-15 12.59 1.36 7.22 1.44 19 14-2 1.25 52 84. 46. 48-47 43-20 65-27 4.53 0.90 12-4 18.17. 7.27-2 194.24.24-11 28-48 55-63 11.50 1.20 7.58 1.24 12 13-9 1.54 52 84.46. 6-70 4-07 62-63 4.53 I. 10 10-5 19. 17. 49. 8-7 206. 51. 15-37 22-93 52-44 10.22 1.08 7.75 0.95 08 13-6 1.83 52 85. 0.24-02 18-58 65-44 4.81 1.29 9-0 21.19.13.51-4 231. 18. 50-07 60-97 49-10 7.26 0.97 7.58 0.35 12 12-7 2.33 47 86. 8. 0-68 2-29 58-39 6.07 1.62 7-5 Feb. 5. 6.54.47-6 61. 26. 18-95 14-52 64-43 7.96 3.17 0.35 0.35 11 8-4 0.85 10 93. 6.23-16 28-37 54-79 13.54 0. 27 38-6 7. 8.50.28-6 90. 52. 52-21 42-59 69-62 11.20 2.93 1. 13 0.01 27 7-6 0.38 15 90. 39. 33-40 34-92 58-48 10.80 0. 10 40-0 9. 10. 49. 20-1 120. 5. 7-21 6-82 60-39 13.36 2.48 2.49 0.20 46 7-1 0.08 22 88. 4. 8-35 4-88 63-47 7.94 0.17 38-3 Mar. 12. 12. 7. 6'3 170. 0.40-24 44-07 56-17 13.55 1.62 3.64 0.62 54 1-0 0.17 19 85. 10. 13-45 13-94 59-51 4.69 0.77 39-5 12. 12. 9. 14-1 170. 1.46-23 52-52 53-71 13.55 1.62 3.64 0. 62 54 1-0 0.17 19 85. 10. 12-76 12-38 60-38 4. 69 0.77 39-5 13. 12.53.46-0 183. 10. 55-31 59-56 55-75 12. 82 1.41 4.47 0.95 53 0-9 0.06 24 84. 59. 45-45 42-84 62-61 4. 50 0.97 38-6 15. 14. 19. 20-6 208. 43. 51-46 53-79 57-67 10.55 1.10 6.02 1.44 40 0-7 0. 01 33 85. 24. 42-05 3972 62-33 4.98 1.36 35-0 18. 16. 30. 39-3 245. 39. 33-65 30-37 63-28 6. 10 0.98 7.56 1.26 12 0-4 0.36 45 87.33.41-51 41-03 60-48 7.43 1.79 27-5 April 2. 4.38.37-7 81.42.52-73 47-86 64-87 9.27 3.11 0.51 1.24 14 o-o 2.68 20 91. 0. 13 28 11-95 61-33 11.43 0.12 16-3 3. 5. 38. 19-3 96. 24. 34-42 28-54 65-88 10.87 2.97 0.28 0.97 09 o-o 2.52 16 89. 42. 47-06 43-65 63-41 9.96 0. 10 19-7 4. 6. 37. 12-0 110. 47. 23-01 20-17 62-84 12.19 2.77 0.23 0.66 07 0-1 2.32 13 88.27.58-51 56-61 61-90 8.54 0. 14 23-2 5. 7.33.46-5 124.61.33-14 33-43 59-71 13.18 2.54 0.35 0. 36 10 o-i 2.08 11 87. 20. 29-30 26-1.3 63-15 7.25 0.23 26-5 6. 8. 27. 7-4 138.38.12-12 17-41 54-71 13.80 2. 28 0.66 0.13 17 o-i 1.81 09 86. 23. 49-73 46-23 63-50 6. 17 0.36 29-7 7. 9. 17. 2-9 152. 8.59-09 66-46 52-63 14.01 2.01 1.13 0.01 26 0-2 1.53 08 85. 40. 29-52 28-72 60-80 5.33 0.53 32-7 8. 10. 3. 54-0 165. 25. 15-25 29-40 45-85 13.84 1.76 1.73 0.03 37 0-3 1.25 08 85. 12. 7-44 7-85 59-59 4.78 0. 72 35-0 9. 10. 48. 23-4 178.28.27-54 41-13 46-41 13.31 1.53 2.44 0.18 46 0-3 0.97 09 84. 59. 25-78 25-38 60-40 4.52 0.92 37-0 10. 11.31.20-5 191.19.28-36 39-77 48-59 12.46 1.34 3.23 0.45 52 0-4 0.71 11 85. 2. 14-16 14-77 59-39 4.55 1. 12 38-6 11. 12.13.36-2 203. 59. 10-93 18-15 52-78 11.35 I. 18 4.06 0.77 54 0-5 0.48 13 85. 19. 42-82 47-80 55-02 4.86 1.32 39-5 11. 12. 15. 39-4 204. 0. 10-56 20-68 49-88 11.35 1.18 4.06 0.77 54 0-5 0.48 13 85. 19. 46-42 49-81 56-01 4.86 1.32 39-5 12. 12. 58. 0-7 216.29.29-81 42-88 46-93 10.04 1.07 4.88 1.09 51 0-5 0.29 17 85. 50. 44-42 44-19 60-23 5.42 1.49 40-0 13. 13.41. 10-5 228.50. 9-02 2252 46-50 8.58 1.00 5.67 1.35 45 0-6 0. 14 20 86.33. 5-12 8-66 56-46 6.20 1.64 39-9 15. 15. 11. 54-0 253. 15. 26-79 30-52 56-27 5.53 0.99 6.95 1.50 25 0-8 0.00 29 88. 23. 41-00 45-35 55-65 8.26 1.85 38-2 17.16.49.2-2-2 277. 43. 51-09 41-01 70-08 2.73 1.18 7.67 1.13 10 1-1 0.10 38 90.32.42-18 47-19 54-99 10.67 1. 90 34-7 20.19.21.35-4 315.58.24-81 18-61 66-20 0.21 1.76 7.44 0.25 14 1-4 0.64 49 93.34.28-11 30-16 57-95 14. 12 1.66 26-8 May 1. 4.29. 3'0 105.43.25-32 21-28 64-04 11.40 2.90 0.72 1.35 18 2-9 2.83 32 88.39.63-68 58-97 64-71 8.89 0. 12 9-3 7. 9.30.33-5 187. 15. 36-17 4-2-23 53-94 13.02 1.45 1.37 0.00 31 4-2 2.01 10 84. 53. 24-85 23-25 61-60 4.52 1.08 25-8 I Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. tl e \ \ \\ v \\ e \ w K \ 41 a \ \ ^ 60-00 7.02 2.00 4.00 0. 70 30 20*8 1.42 30 60-00 10. 21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [101] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. ||| Excess of Observed Longitude. Elliptic Inequality. Change for 0-1 1 in Argument. Parallactic Inequality. Variation. Change for Oe-1 1 in Argument. Annual Equation. Evection. Change for Oe-ll in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. !l* jj 0) ta Effect of Mean Inclination. Chnnge for fls-1 in Argument. Evection in E. N.P.D. 1778. " " m ' o ' // " " s - \ \\ , e " f ' Off/ " n * " \ t\ May 8.10.12.26-9 199.51.45-24 50-69 54-55 12.07 1.27 2.03 0.09 41 4-4 1.75 09 85. 8.42-08 43-67 58-41 4.77 1.28 28-7 9. 10. 54. 15-4 212. 18. 36-04 38-13 57-91 10.88 1.13 2.77 0.30 49 4-8 1.46 08 85. 37. 52-99 46-24 66-75 5.28 1.45 31-3 10.11.36.45-8 224.38. 7-75 17-00 50-75 9.50 1.03 3.58 0.59 53 5-0 1. 18 08 86. 18. 60-85 51-78 59-07 6.01 1.61 339 12. 13. 8. 19-1 249. 5.26-11 38-72 47-39 6.48 0.97 5.23 1.23 49 5-4 0.65 11 88. 8.53-40 56-81 56-59 8.00 1.83 37-6 13. 13. 55. 45-1 261.16.43-20 52-56 50-64 4.96 1.01 5.97 1.43 41 5-6 0.43 14 89. 12. 55-59 61-49 54-10 9.18 1.89 38-9 14, 14. 44. 46-0 273. 30. 23-28 27-35 55-93 3.54 1.10 6.63 1.52 31 5-9 0.24 18 90. 19. 28-84 37-52 51-32 10.39 1.90 39-7 17. 17. 15. 10-4 311. 1.25-17 24-41 60-76 0.50 1.61 7.74 1.00 08 6-8 0.00 30 93. 26. 12-20 16-80 55-40 13.86 1.69 39-0 18.18. 4.28-4 324. 2.58-41 54-80 63-61 0. 10 1.85 7.76 0.68 08 7-0 0.03 35 94.14. 5-76 15-22 50-54 14.76 1.54 37-7 June 2. 6.46.10-4 170.15.13-12 8-79 64-33 13.92 1.82 0.23 0.68 07 11-3 2.83 31 84.48.19-39 13-67 65-72 4.59 0.84 9-3 3. 7.29.54-5 183.13.43-47 39-29 64-18 13.47 1.58 0.34 0.38 10 11-5 2.81 26 84. 44. 33-38 30-88 62-50 4.50 1.04 11-0 4. 8. 12. 2-7 195.54.32-83 34-78 58-05 12.70 1.38 0.63 0.14 17 11-8 2.73 22 84. 56. 23-17 24-33 58-84 4.70 1.24 13-1 5. 8.53.38-4 208.22.16-70 19-99 56-71 11.64 1.21 1.09 0.01 26 12-1 2.60 18 85. 22. 29-86 30-84 59-02 5.15 1.42 15-4 6. 9. 35. 37-7 220.41. 5-70 0-90 64-80 10.37 1.09 1.68 0.02 36 12-4 2.42 14 86. 1. 16-04 11-3C 64-68 5.84 1.58 18-2 7. 10. 18. 46-1 232. 54. 19 97 16-05 63-92 8.94 1.01 2.38 0.17 45 12-7 2.20 12 86. 50. 32-57 32-30 60-27 6.72 1.71 20-9 8.11. 3.37-6 245. 5. 24-49 18-46 66-03 7.43 0.97 3.17 0.43 51 13-0 1.95 10 87.48.23-11 24-35 58-76 7.77 1.81 23-7 10. 12.41. 19-3 269. 32. 25-31 24-74 60-57 4.40 1.04 4.82 1.07 52 13-9 1.39 08 89. 59. 44-10 51-09 53-01 10.14 1.90 29-5 11.13.31.17-8 281.51.53-45 58-43 55-02 3.03 1.15 5.62 1.34 45 14-2 1.11 09 91. 7.41-23 45-33 55-90 11.38 1.88 32-0 12.14.21.46-4 294. 18.52-90 49-73 63-17 1.86 1.29 6.31 1.49 36 14-5 0.84 10 92. 13. 7-93 8-87 59-06 12.50 1. 82 34-5 13.15.11.53-3 306. 55. 30-35 25-96 64-39 0.93 1.48 6.91 1.51 26 14-8 0.59 12 93.12.51-44 57-49 53-95 13.65 1.72 36-4 14.16. 1. 3-7 319.44.40-28 36-52 63-76 0.31 J. 70 7.37 1.38 17 15-1 0.38 15 94. 4. 4-68 9-92 54-76 14.58 1.58 38-1 July 2. 6.51.50-5 204. 6.24-38 29-14 55-24 12.32 1.31 0.26 0.53 08 21-1 2.73 38 85. 11. 14-40 10-17 64-23 5.03 1.38 7-4 4. 8.16.35-1 228. 47. 39-85 42-04 57-81 9.84 1.05 0.81 0.07 20 22-1 2.83 29 86. 32. 26-17 24-53 60-64 6.52 1.69 8-6 6. 9.46.55-2 253. 9.32-35 14'3( 77-99 6.85 0.97 1.98 0.07 40 22-7 2.70 21 88. 29. 52-41 54-84 57-57 8.6(3 1.87 11-5 7. 10. 35. 3-4 265. 23. 37-06 18-43 78-63 5.32 1.00 2.71 0.28 48 23-0 2.56 17 89. 36. 26-27 26-94 59-33 9.87 1.90 13-7 8. 11.24.51-9 277. 43. 64-70 46-68 78-08 3.87 1.08 3.52 0.57 53 23-3 2.37 14 90. 44. 36-33 34-65 61-68 11. 11 1.89 16-1 12. 14.47. 6-1 328.47.33-37 19-68 73-69 0. 10 1.79 6.58 1.52 31 24-9 1.32 08 94. 30. 49-00 51-58 57-42 15.18 1.44 27-8 13. 15. 34. 26-3 342. 4.52-92 34-91 78-01 0.03 2.04 7.12 1.46 21 25-2 1.04 09 95. 0.20-42 25-42 55-00 15.70 1.25 30-9 14. 16. 20. 56-7 355. 37. 24-31 11-47 72-84 0.2!! 2.31 7.51 1.29 13 25-6 0.77 10 95. 13. 52-74 59-33 53-41 15.93 1.04 33-7 15. 17. 7. 25-0 9. 2(5. 47-05 39-78 67-27 0.95 2.57 7.73 1.01 08 25-9 0.53 13 95. 9. 45-38 52-03 53-35 15. 83 0.83 36-1 Sub. 6o'-00 Sub. s \ 7.02 Sub. Sub. Sub. 0. 76 Sub 30 Sllb. 20-8 Sub. a - 1.42 Sub 30 Sub. H 60-00 Sob. 10. 2! Sub. i. oo Sub. 23-7 2.00 4. 00 [102] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .s *1 = o- fcd > g * \\ 1 11 if # K ' V \ v July 17.18.44.28-4 38. 1. 31-24 25-69 65-55 3.32 2.99 7.63 0.40 11 26-5 0. 17 20 94. 5. 51-40 59-33 52-07 14.61 0.43 ;w-4 18.19.37.17-2 52. 47. 56-23 47-50 68-73 4.92 3. 12 7.3 0.18 17 27-1 0. 06 24 93. 7. 48-35 48-75 59-60 13.54 0.27 400 28. 4. 3.32-3 185.58.62-22 60-48 71-74 13.61 1.64 0.97 1.43 23 30-1 1.42 53 84. 50. 40-OJ 33-05 07-59 4.50 1.13 18-0 31. 6. 12.41-0 224. 13. 1-00 6-64 54-36 10.69 1. 12 0.22 0.70 07 30-9 2.24 48 86. 20. 20-28 16-67 63-6 6.28 1.65 10-8 Aug. 2. 7.42. 2-8 248.40.31-48 30-89 60-60 7.80 0.98 0.60 0.15 16 31-5 2.63 42 88. 11. 48-83 43-02 65'8 8.37 1.85 8-1 5. 10. 9. 23-8 285.37.51-45 35-76 75-69 3.35 1.12 2.33 0.15 44 325 2.83 28 91. 28. 58-81 57-25 61-56 12. 02 1.85 7'9 6.11. 0.33-6 298. 17. 44-81 24-02 80-79 2.12 1.25 3.12 0.41 51 32-8 2.78 24 92. 31. 53-59 47-83 65- 7b 13.17 1.77 8-9 8. 12. 43. 17-7 324.21.50-18 30-62 79-5C 0.42 1.64 4.76 1.06 52 33-3 2.51 16 94.14. 8-88 7-12 61-76 15. 03 1.48 12-4 9. 13. 31. 42-0 337. 45. 38-19 14-23 83-96 0.07 1.89 5.56 1.32 46 33-6 2.31 13 94.47. 7-75 10-29 57-46 15.61 1.30 14-8 11.15. 5.46-6 5. 14. 42-74 14-21 88-53 0.50 2.41 6.87 1.51 27 34-3 1.81 09 95. 4.31-20 40-63 50-57 15.88 0.87 20-9 13. 16.41.20-7 33. 32. 65-88 49-41 76-47 2.45 2.88 7.64 1. 17 11 34-8 1.24 08 94. 10. 26-46 36-32 50-14 14.80 0.46 27-8 14. 17. 32. 10-8 47. 59. 23-92 10-80 73-12 3.91 3.05 7.77 0.87 07 35-0 0.96 09 93. 18. 12-33 20-75 51-58 13.80 0.30 31-1 15.18.26. 13-1 62. 36. 34-73 23-21 71-52 5.57 3. 15 7.72 0.55 08 35-3 0.70 11 92. 12. 27-56 33-98 53-58 12.56 0.18 34-1 16. 19. 23. 45-4 77.23.46-19 34-79 71-40 7.34 3.18 7.49 0.28 13 35-5 0.47 14 90. 57. 10-95 15'4( 55-55 11.14 0.11 36-6 29. 5. 35. 46-4 243. 48. 52-36 46-04 66-32 8.74 1.00 0.25 0.87 08 38-3 1.49 53 87. 59. 64-20 52-36 71-84 8.05 1.83 19-9 31. 7.11. 4-7 268. 14. 3-71 2-25 61-46 5.68 0.99 0. 42 0.28 12 38-7 2.06 50 90. 6. 46-41 48-34 58-07 10.45 1.90 14-8 Sep. 5.11.22.53-3 332.26.33-14 19-89 73-25 0.25 1.73 3.46 0.55 53 39-6 2.83 32 94. 35. 14-99 15-61 59-38 15.47 1.35 7-4 7.13. 1.20-2 0. 15. 70-71 47-54 83-17 0.20 2.24 5. 11 1.19 50 39-8 2.76 23 95. 0. 1-87 5-71 56-16 15.91 0.92 8-5 9. 14. 38. 6-4 29. 0.52-49 25-01 87-48 1.70 2. 75 6.54 1.51 32 40-1 2.46 15 94. 12. 10-61 16-24 54-37 14.98 0.50 12-4 11.16.22.13-2 58. 13. 80-69 57-04 83-65 4.52 3.10 7.49 1.30 14 40-4 2.00 10 92. 19. 4-93 10-16 54-77 12. 82 0.20 18-2 12. 17. 18.34-0 72. 54. 67-45 46-72 80-73 6.24 3. 17 7.73 1.03 09 40-5 1.73 09 91. 6. 20-69 22-99 57-70 11.44 0.12 21-7 13. 18. 17. 29-8 87. 35. 70-63 55-78 74-85 8.02 3.17 7.76 0.71 07 40-6 1.45 08 89. 49. 16-37 8-08 68-29 9.97 0.10 25-2 15.20.17.36-5 116.52. 19-36 9-81 69-55 11.25 2.92 7.31 0.18 17 40-8 0.89 10 87.22. 31-82 29-53 62-29 7.20 0.24 32-0 28. 5.52.26-7 275. 25. 31-88 22-72 69-16 5. 11 1.01 0.22 0.72 07 41-6 0.99 52 91. 0.27-18 19-89 67-29 11.31 1.88 28-3 29. 6. 42. 38-2 287. 44. 55-34 48-72 66-62 3.68 1.09 0.31 0.42 09 41-6 1.28 53 92. 2.40-67 39-11 61-56 12.49 1.83 25-2 Oct. 1. 8. 23. 19-8 3J3. 6.27-96 26-38 61-58 1.35 1.38 1.01 0.02 24 41-6 1.86 51 93. 49. 42-34 40-98 55-36 14.53 1.59 19-4 2. 9.12.49-0 326. 17. 55-92 54-45 61-47 0.57 1.59 1.59 0.01 34 41-6 2.12 50 94.28.37-19 41-27 55-92 15.27 1.42 16-3 3. 10. 1. 32-9 339. 53. 50-25 45-11 65-14 0.12 1.82 2,28 0.14 44 41-6 2.36 47 94.53.36-13 44-43 51-70 15.76 1.22 13-7 4. 10. 49. 49-7 353. 54. 39-45 29-53 69-92 0.05 2.08 3.06 0.39 Sub. 51 41-6 2.56 43 95. 2. 0-27 9-13 51-14 5.93 1.00 11-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2.00 4.00 g \ 0. 76 3 20-8 f * 1.42 30 60*00 0.21 I. 00 23-7 . SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [103] Greenwich . ii . & 1 j Ecliptic 5 > 'B & Mean Solar Time of Longitude of 3.5-S 1.S.S ^ w > 'o % ~ ft o ^ li II" c .2 Is i sl d 1 8 N.P.D. of i?2 : 1^ OB! t? S " If g/ Observation of Moon's Center from ISlf "8,3 'hr wo sj 0) S tfE? X < || a 1 bo fcn 03 *^ 11 1 < Moon's Center from 4) x llzi I 1 ! 1 to Moon's Limb. Observation. "S " ~ 3s t^ 3s 3s Observation. w s w 1 o.S w w 1778. >"" O / II H s > o / a H * e " V v Oct. 5.11.38.16-3 8. 18. 37-99 20-31 77-68 0.36 2.34 3.88 0.71 54 41-5 2.70 39 94. 51. 52-35 54-92 57-43 15.76 0.78 9-3 8. 14. 15.11-6 53. 1.63-41 47-76 75-65 3.54 3.01 6.22 1.48 37 41-4 2. 81 26 92.31. 4-62 8-99 55-63 13.15 0.23 7-7 10. 16. 11. 39-0 83. 3.60-71 46-24 74-47 6.93 3.18 7.31 1.40 18 41-4 2.59 18 89.58. 4-13 7-70 56-43 10.29 0.10 10-7 11. 17.12.29-0 97.53.31-73 18-05 73-68 8.69 3.14 7.63 1.18 11 41-2 2.41 14 88. 39. 48-23 50-16 58-07 8.81 0.13 13-1 12. 18.12.46-0 112.31.21-87 8-33 73-54 10.35 3.03 7.76 0.88 07 41-2 2.18 11 87. 27. 47-68 48-48 59-20 7.46 0.21 16-1 13. 19. 10. 43-6 126. 55. 63-87 48-25 75-62 11.77 2.85 7.73 0.56 08 41-1 1.93 09 86. 26. 36-94 36-40 60-54 6.29 0.35 19-2 14.20. 5.17-1 141. 6.65-79 41-48 84-31 12.88 2. 62 7.49 0.29 13 41-0 1.65 08 85. 39. 36-31 37-79 58-52 5.39 0.52 22-7 15.20.56. 11-1 155. 3.41-44 38-46 62-98 13.63 2.37 7.09 0.11 21 41-0 1.36 08 85. 9. 7-64 2-04 65-60 4.79 0.72 26-0 26. 4.34.44-3 282. 46. 24-72 18-55 66-17 4.56 1.03 0.44 1.18 12 39-8 0.17 41 91.52.27-02 25-13 61-89 12. 16 1.85 38-4 30. 7.50.54-0 333. 25. 35-92 25-00 70-92 0.36 1.67 0.75 0.09 19 39-1 1.06 52 94. 54. 42-24 51-76 50-48 15.61 1.30 29-9 31. 8.38.21-4 346.59.41-62 34-35 67-27 0.05 1.92 1.25 0.00 29 38-9 1.35 53 95. 9. 1-91 5-44 56-47 15.90 1.08 27-0 'Nov. 1. 9.25.57-0 I. 2. 46 60 3332 73-28 0.12 2. 18 1.88 0.06 39 38-7 1.64 52 95. 5.30-28 35-97 54-31 15.87 0.87 23-5 2. 10. 14. 32-6 15. 34. 39-24 24-05 75-19 0.58 2.44 2. 60 0.24 48 38-6 1.93 51 94. 42. 37 92 42-21 55-71 15.48 0.65 19-9 3. 11. 5. 8-7 30. 32. 32-99 12-81 80-18 1.43 2.69 3.41 0.53 53 38-4 2.19 49 94. 0. 6-01 6-72 59-29 14.73 0.45 16-5 5. 12. 58. 19-6 61.21.60-97 44-63 76-34 4. 14 3.07 5. 11 1.17 50 37-8 2.60 42 91.44.40-71 46-11 54-60 12.27 0.16 10-8 7.15. 1.57-9 92. 20. 19-38 13-89 65-49 7.61 3.17 6.54 1.51 33 37-4 2.81 34 88. 57. 59'61 60-80 58-81 9.21 0.11 7-7 8.16. 4.51-7 107.31. 13-35 10-62 62-73 9.34 3.11 7.09 1.48 22 37-2 2.83 29 87. 39. 36-61 38-66 57-95 7.77 0.19 7-4 11. 18. 54. 15-0 150. 54. 43 37 27-78 75-59 13.21 2.53 7.77 0.73 07 36-4 2.54 17 85. 5.32-46 28-20 64-26 4.88 0.68 11-2 12. 19. 42. 38-5 164. 38. 26-50 12-98 73-52 13.81 2.27 7.64 0.42 10 36-2 2.35 13 84. 48. 30-51 27-59 62-92 4.54 0.89 13-5 25. 4.56.26-9 315. 15.41-63 30-49 71-14 1.58 1.34 0.33 1.05 10 33-0 0.01 33 94. 18. 52-39 53-07 59-32 14.84 1.53 40-0 26. 5. 43. 33-5 327.56.21-70 10-64 71-06 0.73 1.54 0.22 0.75 07 32-7 0.08 38 94. 52. 42-07 46-37 55-70 15. 46 1.36 39-9 27. 6.29.44-3 340. 56. 34-01 23-02 70-99 0.20 1.76 0.30 0.44 09 32-1 0.21 42 95. 12. 33-87 43-39 5048 15.84 1.16 39-2 28. 7.15.36-4 354. 21. 15-22 1-65 73-57 0.03 2.01 0.55 0.18 15 31-9 0.38 45 95. 16. 29-92 3363 56-29 15. 92 0.95 37-9 30. 8. 50. 9-1 22. 37. 69-79 58-22 71-57 0.86 2.54 1.55 0.01 34 31-3 0.86 51 94.29. 5-22 7-38 57-84 15. 09 0.53 33-3 Dec. 1. 9.41. 8-3 37. 32. 40-98 29-73 7125 1.84 2.77 2.23 0.13 43 31-0 1.14 52 93. 36. 50-13 49-48 60-65 14.15 0.35 30-2 4. 12. 41. 38-0 84. 30. 30-63 18-28 72-35 6.49 3.17 4.65 1.02 52 30-1 2.00 51 89. 37. 54-33 53-06 61-27 9.85 0.10 189 5. 13. 47. 9-1 100.20.40-13 31-5'i 68-61 8.27 3. 16 5.45 1.30 47 29-5 2.26 48 88.11.54-50 58-38 56-12 8.30 0.15 15-4 8.16.48.20-7 145. 52. 23-93 25-74 58-19 12.65 2.68 7.31 1.41 18 28-6 2. 76 37 85. 10 48-64 44-23 64-41 5.02 0.63 8-4 26. 5. 55. 14-5 2. 31.27-11 19-36 67-75 0.06 2.11 0.24 0.60 08 22-5 0.00 30 95. 9. 53-91 60-13 53-78 15.79 0. 80 39-1 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. II Sub. g \ Sub. \ \v Sub. 60-00 7.02 2. 00 4. 00 0. 76 30 20-8 1 . 42 30 oo-oo 10.21 1.00 23-7 [104] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Loneitude. Excess of Observed Longitude. si" .2-1 = 0" W g Change for 0- 1 in Argument. Parallactic Inequiility. Variation. Change for Os- 1 in Argument. Annual Equation. Evection. Change for 0?-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. of. . ^ Sa 1 Effect of Mean Inclination. Change for OS- 1 I in Argument. a 1778. d h m 5 Dec. 29. 8. 19. 8-2 ' a 44. 57. 55-73 tr 3S-84 76-89 2.31 2.86 V V 1.21 e v 0.00 28 \ 21-1 0.25 43 1 n 93. 4.16-41 n 19-22 ft 57-19 e v 13.46 0.26 39-3 31. 10. 14. 54-8 75. 37. 19-27 17-62 61-65 5.38 3.14 2.60 0.23 47 20-5 0.67 49 90. 26. 53-23 58-83 54-40 10.60 0. 10 35-4 1779. Jan. 2.12.28.17-8 107.26. 4-51 5-51 59-00 8.93 3.13 4.24 0.85 54 19-8 1.22 52 87. 36. 41-25 43-47 57-78 7.52 0.21 29-0 6.16. 19.50-3 168. 14. 19-57 20-56 59-01 13.70 2.33 7.06 1.48 23 18-1 2.32 47 84. 45. 37-15 35-55 61-60 4.50 0.99 14-9 7. 17. 6. 47-7 182. 9.43-87 47-89 55-98 14.00 2.07 7.47 1.32 14 17-8 2.53 44 84. 52. 10-25 8-79 61-46 4.64 1.20 12-0 8.17.51.18-1 195. 34. 52-08 54-50 57-58 13.91 1.81 7.71 1.06 09 17-5 2.68 40 85. 15. 37-47 34-14 63-33 5.10 1.40 10-1 10. 19. 17. 47-3 221.12.53-42 56-45 56-97 12.67 1.38 7.65 0.45 10 16-8 2.83 31 86.41.41-78 4321 58-57 6.71 1.71 7-8 11.20. 1.46-5 233. 36. 59-17 59-82 59-35 11.61 1.21 7.37 0.20 16 16-5 2.82 27 87. 38. 46-98 49-18 57-80 7.77 1.81 7-4 22. 3.53.23-6 358. 15.30-19 28-82 61-37 0.04 1.95 0.63 1.31 16 12-7 0.62 12 95. 5.42-87 52-20 50-67 15.85 0.84 27-3 24. 5.23. 1-7 25. 11.57-79 53-00 64-79 0.67 2.47 0.23 0.77 07 12-1 0.23 18 94.11.27-10 34-77 52-33 14.79 0.46 33-1 25. 6.10.47-1 39. 9.43-40 35-05 68-35 1.57 2. 72 0.29 0.46 09 11-8 0.10 22 93. 20. 27-84 35-27 52-57 13.82 0.30 35-6 26. 7. 2. 6-1 53. 30. 49-40 36-57 72-83 2.81 2.93 0.53 0.20 14 11-5 0.02 26 92. 15. 36-37 46-62 49-75 12.60 0.18 37-7 28. 8. 68. 19-5 83. 26. 28-99 22-57 66-42 6.05 3. 17 1.50 0.01 33 10-6 0.04 35 89. 38. 37-86 40-98 56-88 9.67 0. 10 39-9 29. 10. 2. 14-8 98. 55. 59-20 48-33 70-87 7.82 3.17 2. 18 0.12 43 10-3 0. 14 40 88. 17. 6-90 7-74 59-16 8.15 0.16 39-8 31. 12.10.10-1 31. 12. 12. 38-7 130. 16. 27-67 130. 17. 59-07 29-64 62-25 58-03 56-82 11.11 1.11 2.94 2.94 3.82 3.82 0.67 0.67 54 64 9-7 9-7 0.50 0.50 47 47 86. 1.32-10 86. 1. 26-61 31-74 26-46 60-36 60-15 5.67 5.67 0.45 0.45 37-0 37-0 Feb. 2.14. 5.57-4 160. 52. 7-87 9-17 58-70 3.31 2.49 5.45 1.29 47 9-2 1.01 52 84. 57. 12-40 9-27 63-13 4.54 0.89 31-3 22. 4.57.38-9 48. 54. 12-29 9-97 62-32 2.01 2.81 0.27 0.94 08 4-0 0.81 10 92.22.55-14 61-30 53-84 12.88 0. 20 23-7 23. 5.50.36-6 63.11. 8-01 7-35 60-66 3.36 2.99 0.24 0.62 08 3-8 0.56 12 91. 12. 26-43 32-26 54-17 11.54 0. 12 27-3 26. 8.50.32-6 07. 37. 19-86 19-07 60-79 8.49 3. 15 1.21 0.00 28 3-2 0.07 23 87.25.33-17 32-59 60-58 7.24 0.23 36-3 27. 9.52.37-8 22. 49. 26-80 26-65 60-15 0. 16 3.04 1.83 0.04 38 3-0 0.01 28 86. 22. 55-67 57-43 58-24 6.07 0.38 38-3 28.10.52. 12-1 38. 2.51-96 60-74 51-22 1.61 2.87 2.55 0.22 47 2-7 0.01 32 85. 35. 52-53 48-40 64-13 5. 17 0.58 39-5 Mar. 2. 12. 42. 30-1 68. 2.36-35 36-98 59-37 3.56 2.40 4.18 0.83 54 2-4 0.18 41 84. 59. 44-20 46-44 57-76 4. 50 1.03 3U-6 5. 15. 3. 53-4 10. 13. 57-16 50-89 66-27 3.60 1.63 6.45 1.51 34 1-9 0.81 50 86. 24. 37-68 31-49 66-19 6. 11 1.03 34-5 6. 15. 49. 22-3 23. 24. 57-52 54-00 63-52 2.89 1.42 7.02 1.49 24 1-8 1.09 52 87. 18. 29-56 27-05 62-51 7. 13 1.76 32-0 8. 17. 22. 33-6 48.44.14-86 7-93 66-93 0.66 1.11 7.70 1.08 09 1-4 1.67 52 89. 23. 41-27 43-40 57-87 9.50 1.89 26-3 23. 4.42.43-1 73. 22. 24-98 27-39 57-59 3.96 3.05 0.35 1.09 10 0-2 1.57 08 90. 3. 21-93 24-63 57-30 10.39 0. 10 14-6'i 24. 5.41.48-8 87. 58. 8-60 56-21 62-39 5.63 3.15 0.23 0.78 07 o-i 1.28 08 88. 46. 18-29 25-47 52-82 8.93 0. 12 17-7 25. 6.42.44-6 02.41. 5-12 17-68 47-44 7.40 3. 18 0. 28 0.47 09 o-i I. 00 09 87. 33. 46-85 46-83 60-02 7.55 0.20 21-2^ Sub. 60-00 Sub. Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. i. oo Sub 7.02 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [105] Greenwich - ~ r Ecliptic -i i.S **' J Mean Solar Time Longitude u - & 3 > "c u >. o B t- a o o t; * C C o - N. P. D. *~3d O D. . *o .1 ? g -Q of of = < fc z, "o.^ O C ^ ~* 3 S 11 o E of ~ 3 ro t! S "* .2 B c aj Observation Moon's Center o - ^ s i M J? 't> . ee V P ~s a- S, sL 1 bt S> Moon's Center O rt . * -c B " 7; **", S, & s . of from (n ' WO g W ^ ? < I c JC X < < M" > H i ? from I.H* " > Z a j= 5 % t ^ Moon's Limb. Observation. o - ' *- o C 5.2 6.5 u.S Observation. 2 cj % 5 W W 1779. "1 h m 5 O ' /' " If * < V \\ \ \\ g v v g v o / // " " e " , ,v ' Mar. 26. 7. 43. 34'7 117.27. 10-9 22-09 48-87 9.15 3.12 0.5 0.20 14 0-1 0.73 11 86. 30. 40-26 3725 63-01 6.35 0.34 24-7 28. 9.37.58-0 146. 57. 31-1 44-37 46-79 12. 10 2.79 1.50 0.01 33 o-o 0.30 16 85. 9. 42-8U 39-10 63-7t 4.77 0.73 31-6 30. 11. 19. 18-2 175. 57. 54-2 57-67 56-60 13.76 2.30 2.94 0.34 50 o-o 0.05 24 85. 3.59-5SJ 58-10 61-49 4.61 1.18 369 31.12. 6.23-2 190. 5.57-6 55-95 61-72 14.01 2.04 3.76 0.65 54 o-o 0.00 29 85. 28. 60-14 58-73 61-41 5.05 1.38 38-6 31.12. 8.33-1 190. 7. 9-55 9-23 60-32 14. 01 2.04 3.76 0.65 54 o-o 0. 00 29 85. 29. 3-78 1-71 62-07 5.05 1.39 3S6 April 1.12.54.29-1 203. 55. 53'5o 48-91 64-64 13.87 1.78 4.59 0.98 53 o-o 0.02 33 86. 9. 39-8" 35-15 64-72 5.79 1.57 39-6 3.14.26.29-1 230. 30. 39-29 35'7( 63-59 12.54 1.35 6.12 1.4f 39 o-o 0.22 42 88. 3.20-60 16-42 64-18 7.88 1.82 39-8 5. 16. 2.22-0 255.51.12-16 5- II- 67-04 10.14 1.07 7.25 1.43 19 o-i 0.62 49 90. 16. 5-7: 6-68 59-05 10.36 1.90 37-6 20. 3. 35. 14-2 83.18.59-83 SS -33 61-50 4.58 3.10 0.87 1.41 21 1-3 2.49 16 88. 53. 49-74 53-81 55-93 9.25 0.11 7-6 24. 7.33.40-9 142.19.37-30 50-61 46-74 11.29 2. 92 0.3" 0.33 11 1-9 1.48 08 85. 6.61-37 57-98 63-39 4.88 0.68 15-6 25. 8. 25. 47-4 156. 41. 36-40 50-53 45-87 12.52 2.71 0.69 0.11 18 2-0 1.20 08 84. 50. 16-98 15-39 61-60 4.53 0.90 187 26. 9. 14. 39-2 170. 50. 59-85 74-63 45-22 13.40 2.46 1. 17 0.00 27 2-2 0.92 09 84. 52. 44-74 44-21 60-53 4.55 1.12 22-2 27.10. 1.12-0 184. 46. 44-18 56-00 48-18 13.90 2.20 1.78 0.04 38 2-3 0.67 11 85. 13. 25-32 25-26 60-06 4.89 1.33 25-5 28. 10. 46. 28-2 198. 27. 45-09 56-76 48-33 14.00 1.94 2.49 0.21 46 2-5 0.44 14 85. 50. 16-79 14-85 61-94 5.54 1.52 28-7 29. 11.31.28-2 211. 53. 26-78 35-69 51-09 13.72 1.69 3.29 0.48 52 2-6 0.26 17 86. 40. 22-45 21-17 61-28 6.44 1.68 31-6 May 1.13. 5.58-7 237. 59. 34-56 40-93 53-63 12. 16 1.29 4.94 1.13 51 3-1 0.03 25 88. 46. 32-81 37-19 55-62 8.73 1.87 36-4 7.18. 2. 5-1 312. 18. 40-03 31-56 69-07 3.63 1. 09 7.78 0.79 07 4-2 0.69 49 94 34.49-24 62-23 47-01 15. 15 1.45 38-8 8. 18. 48. 42-1 J24. 46. 37-34 31-94 65-40 2.36 1.22 7.69 0.49 09 4-4 0.95 51 95. 1.27-63 44-31 43-32 15.66 1.27 37-3 10. 20. 18. 36-9 350.31. 0-31 2-16 58-15 0.55 1.59 6.98 0.08 24 5-0 1.53 53 95. 11. 14-81 17-82 56-99 15.88 0.87 33-1 Oct. 22. 10. 5. 0-8 0. 55. 55-50 44-65 70-85 1.08 1.44 2.33 0.16 45 40-3 2.73 39 94. 34. 13-69 19-43 54-26 15. 31 0.59 23-2 29. 16. 10. 29-4 99. 32. 38-05 22-51 75-54 4.02 3.06 7.37 1.39 17 39-2 2. 14 11 86. 49. 59-53 55-95 63-58 6 84 0.27 7-5 31.18.11.14-7 129. 4. 35-31 18-96 76-35 7.47 3. 18 7.77 0.85 07 38-9 1.60 08 85.11.12-20 3-64 68-56 5.00 0.63 8-6 Nov. 2. 19. 59. 42-4 158. 25. 40-70 30-17 70-53 0.80 2.98 7.47 0.27 14 386 1.03 09 84. 47. 16-22 5-56 70-66 4.52 1.08 12-4 14. 5. 0. 11-8 305.19.57-71 44-45 73-20 7. 11 0.97 0.40 1.15 11 36-0 0. 59 48 94. 42. 40-03 43-80 56-23 15.30 1.41 39-8 16. 6.31.57-8 329. 52. 52-25 42-10 70-09 4. 11 1.06 0.26 0.54 08 35-5 1.12 52 95. 16. 37-36 46-00 51-30 15.93 1.04 397 22.11. 0.42-2 49. 20. 16-55 8-34 58-21 0. 21 2.26 3.52 0.56 53 33-8 2.63 42 91.11. 0-87 4-52 56-35 11.49 0. 1-227-3 23. 11. 55. 15-6 63. 55. 26-42 22-68 63-74 0.79 2.52 4.36 0.89 53 33-5 2.75 37 89. 50. 40-44 43-50 50-94 10.03 0.10 23-7 23.11.57.39-6 63. 56. 49-74 48-02 61-72 0.80 2.52 4.30 0.89 53 33-5 2.75 37 89. 50. 32-24 35-62 50-0-2 10.03 0. 10 23-7 24. 12. 56. 55-0 78.51.30-91 27-79 63-12 1.77 2.76 5.17 1.20 49 33-2 2. 82 33 88.29. 7-90 8-02 59-88 8.56 0.14 20-2 26. 15. 3. 10-9 09. 11. 30-42 22-17 68-25 4.65 3.10 6.58 1.51 32 32-4 2.78 24 86. 7.55-43 58-17 57-26 6.01 0.39 13-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. g - V \\ \ \\ K \ \\ e \ u II * \ \ \\ V 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10. 2111.00 23-7 GREENWICH LUNAR REDUCTIONS. [P] [106] SEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich S j i 1 i* Ecliptic *- a. -i "Z Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. ||| Excess of Observed Longitude. c" c ? n li 1.1 Parallactic Inequality Variation. Clmnc^e forO in Argumcn Annual Equation. Evection. Change for in Argumen' N. P. D. of Moon's Center from Observation. Seconds o Tabular Ecli N.P.D. u t- -* X *- y M Effect of Mean Inclination Change for (I in Argumenl Ev-ection in E. N.P.D. 1779. * Q 1 ft ft " g " V \ \\ e " " ' g > o / tr " It e " \ v\ > Nov. 27. 16. 5. 10-8 124. 20. 38-75 28-46 70-29 6.37 3.17 7. 12 1.46 21 32-1 2.67 20 85. 19. 32-40 32-51 59-89 5.15 0.59 10-8 30.18.47.11-9 168. 33. 48-52 33-06 70-46 11.34 2.91 7.76 0.70 07 31-3 2.07 10 84.55.41-35 33-85 67-50 4.74 1.26 7-4 Dec. 23. 12. 45. 1-0 101.57.22-77 12-06 70-71 3.63 3.02 4.76 1.05 52 23-5 2.51 44 86.39. 7-27 9-14 58-13 6.43 0.33 29-9 30.19. 4.48-0 206. 17. 44-43 36-11 68-32 13.65 2.30 7.72 0.55 08 20-8 2.46 15 86.59. 6-18 6-61 60-57 7.02 1.75 8-8 31. 19. 50. 35-5 219.43.29-99 1915 70-84 13.99 2.09 7.49 0.28 13 20-5 2.25 12 88. 3. 0-17 5-01 55-16 8.22 1.84 7-8 1780. Jan. 12. 4. 29. 23'6 357.18.4734 42-73 64-61 1.91 1.28 0.42 1.17 12 16-2 0.00 31 94.34.20-17 26-84 53-33 15.27 0.58 27-3 17. 8. 16. 45-4 63. 23. 70-24 57-75 72-49 0.61 2.45 1.29 0.00 29 14-6 0.71 50 89. 45. 16-64 15-39 61-25 9. 80 0.10 :!8-9 21.12.31.62-5 125. 3.4422 42-36 61-86 5.94 3. 10 4.30 0.88 64 13-0 1.85 52 85.25. 14-93 19-28 55-65 4.99 0.64 37-6 22. 13. 33. 46-3 141. 3. 19-17 11-53 67-64 7.71 3.17 5.11 1.19 50 12-7 2.12 50 85. 0. 31-65 32-12 59-53 4.55 0.88 35-0 Feb. 11. 4.32. 8-8 30. 57. 36-45 35-13 61-32 0. 18 1.77 0.33 1.05 09 6-8 0.08 23 92. 16. 23-09 31-85 51-24 12.81 0.20 19-7 19. 12. 9. 14-9 148. 9.27-64 29-87 57-77 8.37 3.16 3.88 0.71 54 4-8 1.06 52 85. 0. 10-37 9-38 60-99 4.50 I. 01 40-0 19. 12. 11.40-6 148.11. 0-66 3-05 57-61 8.38 3. 15 3.88 0.71 54 4-8 1.00 52 85. 0. 9-87 9-58 60-29 4.50 1.01 40-0 20.13. 7.42-3 164. 4.11-40 5-68 65-72 10.04 3.06 4.71 1.04 52 4-4 1.35 63 85. 13. 16-02 8-41 07-61 4.73 1.26 39-8 21. 14. 0. 15-7 179. 39. 39-95 29-55 70-40 11.52 2.89 5.51 1.31 40 4-2 1.65 62 85. 47. 29-23 24-03 65-20 5.38 1.48 38-7 22. 14. 50. 23-7 194.48.15-13 9-28 65-85 12. 69 2.67 6. 22 1.48 37 4-0 1.93 51 86. 38. 51-22 46-85 64-37 6.35 1.66 36-9 23. 15.39. 18-8 209. 25. 12-86 8-01 64-85 13.51 2.42 6.83 1.51 27 3-8 2.19 49 87.41.62-91 58-34 6457 7.54 1.80 34-5 Mar. 11. 4. 2.19-2 53. 6.34-63 38-59 56-04 0.07 2. 13 0.44 1.19 12 1-1 0.52 13 90. 9. 3-84 10-21 53-03 10.54 0. 10 11-2 14. 6.48.16-4 94. 46. 28-73 17-54 71-19 2.38 2. 87 0.40 0.30 12 0-7 0.05 24 86. 43. 35-36 36-54 58-82 6.65 0.30 19-4 15. 7.49.55-6 109. 30. 18-69 11-90 66-79 3.83 J. 04 0.75 0.09 19 0-6 0.00 28 85. 50. 37-22 37-20 59-96 5.62 0.47 22-9 16. 8.51.38-3 124.38.11-31 10-29 61-02 5.50 3. 15 1.25 0.00 29 0-5 0.01 33 85. 13. 27-89 26-03 61-86 4.89 0.67 20-5 17. 9.51.23-4 140. 4.46-79 46-94 59-85 7.27 3. 18 1.88 0.06 39 0-5 0.08 37 84.56. 6-05 5-66 60-39 4.53 0.91 30-2 20. 12. 35. 28-4 186. 46. 64-06 57-94 66-12 11.99 2.81 4.24 0.86 54 0-3 0.60 49 86. 14. 53-68 47-61 60-07 5.88 1.59 38-3 21. 13. 25. 37-4 201. 54. 33-57 24-16 69-41 13.04 2.58 5.11 1.17 50 0-2 0.86 61 87. 16. 44-78 37-93 66-85 7.02 1.75 39-6 22. 14. 15. 35-9 216. 36. 15-50 8-53 66-97 13. 72 2.32 5.87 1.40 42 0-1 1. 14 52 88. 27. 59-92 55-38 64-54 8.33 1.85 40-0 23. 15. 6. 13-0 230.49. 7-77 3-71 64-06 14.00 2.06 6.54 1.51 33 0-1 1.43 53 89. 42. 57-09 56-74 60-35 9.73 1.90 39-7 April 9. 3.44.21-3 76. 15.47-15 49-89 57-26 0.71 2.49 0.63 1.31 16 0-3 1.23 08 87.57. 9-03 1866 50-37 8. 12 0. 1C 7-5 13. 7.41. 18-4 134. 7. 5-89 16-43 49-46 6. 16 3.17 0.55 0. 18 15 0-6 0.27 17 84. 50. 56-56 59-81 56-75 4.59 0.84 13-9 17.11. 10.29-7 194. 26. 18-93 14-27 64-66 12. 42 2.73 3.00 0.37 51 1-1 0.03 34 86.44.10-21 15-58 54-63 6.54 1.69 28-0 18.11.59.58-6 209. 14. 56-06 50-02 66-04 13.34 2.48 3.82 0.68 54 1-2 0.11 39 87. 53. 27-49 28-36 59-13 7.78 1. 82 31-3 18. 12. 2. 13-9 209. 16. 12-44 10-11 62-33 13.34 2.48 3.82 0.68 54 1-2 0. 11 39 87.53.31-94 35-00 50-94 7.78 1. 82 31-3 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. f % \ \\ \ \v K K \ rt t V \ *\ , 60-00 7.02 2. 00 4.00 0. 76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [107] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. I'i w u 8 Change for 0?'l in Argument. Parallactic Inequality. Variation. Change for fls- 1| in Argument. C 11 If Evection. Change for 08-1 in Argument. Ecliptic N. P. IX of Moon's Center from Observation. D . 4 5* '3T \l ' A Effect of Mean Inclination. Change for 0- 1 in Argument. Ijj v Z > i 1780. d h m * Off rf g % V , r v vt g * o / /' " 'i g X V\ V April 19. 12. 52. 35-8 223. 46. 39-43 35-28 64-15 13.87 2.22 4.65 1.02 52 1-3 0.25 43 89. 9.45-11 47-22 57-89 9.17 1.89 343 24.17.18.35-8 290. 44. 12-61 8-01 64-60 11.07 1.15 7.61 1.20 11 2-0 1.51 53 94. 26. 47-27 62-38 44-89 15.00 1.49 39-9 May 10. 5. 36. 32-5 129. 35. 44-11 49-99 54-12 5.09 3.13 0.26 0.92 08 5-0 1.43 08 84. 51. 32 90 36-39 56-51 4.66 0.79 7-5 11. 6.32.27-4 144. 21. 55-40 64-74 50-66 6.84 3.18 0.24 0.60 08 5-2 1.15 08 84. 43. 13-30 14-67 58-63 4.50 1.02 7'6 12. 7.25. 3-1 159. 8.20-06 34-78 45-28 8.61 3.15 0.38 0.31 11 5-4 0.88 10 84. 55. 44-33 43-51 60-82 4.72 1.25 8-4 13. 8. 14. 59-:) 173. 52. 27-09 41-26 45-83 10.25 3.04 0.72 0.10 19 5-0 0.62 12 85.28. 4-03 8-83 55-20 5.30 1.46 10-0 17. 11. 30. 25-6 231.31. 10-91 19-76 51-15 13.97 2. 12 3.41 0.51 53 6-8 0.02 26 89. 52. 10-90 16-78 54-12 10.09 1.90 21-2 22.16. 0. 5-2 297. 56. 64-45 50-93 67-52 10.57 1. 11 7.06 1.48 23 8-3 0.50 47 94. 46. 35-20 53-50 41-70 15.42 1.37 35-8 23. 16. 49. 9-4 310. 25. 50-96 45-44 65-52 9. 16 1.02 7.47 1.33 15 6-5 0.74 60 95. 8.31-84 47-29 44-55 15.81 1.19 37-5 27. 19. 40. 39-9 359. 38. 11-86 14-83 57-03 3.24 1.13 7.37 0.21 16 9-6 1.87 51 94. 13. 11-50 19-29 52-21 14.76 0. 4G 39-8 28.20.21.26-9 12.11.50-95 04-03 52-92 2.04 1.26 0.91 0.07 25 9-9 2.13 49 93.26. 1-88 9-05 52-83 13.90 0.31 39 1 June 11. 7.48. 4'6 198. 18. 40-16 55-88 50-28 12.15 2.78 0.53 0.19 14 14-2 1.36 08 87. 2.39-45 43-24 56-21 7.08 1.75 7-4 12. 8.35.23-7 212. 25. 38-95 48-25 50-70 13.15 2.55 0.94 0.03 23 14-5 1.08 09 88. 11. 6-06 13-83 52-23 8.35 1. 85 7-7 14. 10. 14. 34-4 240. 2.41-32 52-41 48-91 14.01 2.02 2.18 0.12 43 15-1 0.56 12 90. 39. 48-20 58-93 49-27 11.08 1.89 10-1 15.11. 7.15-8 253. 32. 55-79 67-51 48-28 13.85 1.77 2.94 0.35 50 15-7 0.35 15 91.51. 3-91 17-28 46-63 12.39 1.83 12-2 24. 18. 16. 13-0 6. 53. 41-52 39-70 61-82 2.76 1.17 7.74 0.62 08 18-9 0.80 50 93. 39. 54-09 67-92 46-17 14.19 0.35 36-1 25. 18. 50. 59-0 19.25.21-79 24-90 56-89 1.64 1.33 7.56 0.33 12 19-2 1.07 52 92. 47. 19-01 28-21 50-80 13. 19 0.23 37-7 28.21.16. 3-3 59. 8.29-44 35-04 54-40 0.03 2.00 6.02 0.11 39 20-2 1.93 51 89.21.61-38 58-85 62-53 9.36 0.11 40-0 July 10. 7.21.25-0 222. 6. 36-25 31-14 65-11 13.44 2.45 0.38 0.32 11 24-3 2.11 11 89. 10. 29-93 3673 53-20 9.43 1.89 10-7 11. 8.10.47-9 235. 43. 28-75 26-67 62-08 13.91 2.19 0. 72 0.10 18 24-6 1.85 09 90.23.10-18 18-03 52-15 10.80 1.90 9-0 14. 10. 48. 50-9 275. 16. 16-03 21-05 54-98 13.04 1.46 2.55 0.22 47 25-6 1.00 09 93. 31. 21-11 34-32 46-79 14.30 1.63 76 15.11.42. 10-9 288. 5. 6-69 15-74 50-95 12.09 1.28 3.35 0.49 52 25-9 0.74 11 94. 14. 15-98 26-6!) 49-29 15.09 1.47 8-3 16. 12. 35. 46-0 300. 44. 59-75 64-74 55-01 10. 81) 1.13 4.18 0.82 54 26-5 0.50 13 94. 43. 56-99 66-67 50-32 15.63 1.29 9-4 23.17.33.51-3 26. 57. 58-21 59-25 58-96 1.28 1.40 7.78 0.79 07 28'6 0.21 42 91. 58. 26-69 40-41 46-28 12. 3S> 0. 17 26-8 Aug. 3. 2.50.31-5 173. 29. 37-08 45-82 51-26 8. 85 3. 13 1.73 1.44 30 32-0 2.65 41 85.51.47-73 46-43 61-30 5.52 1.51 35-0 4. 3. 40. 43-2 188. 39. 57-61 67-84 49-77 10.47 3.01 1.13 1.45 20 32-3 2.77 37 86.45. 7-47 6-35 61-12 6.54 1.69 32-0 7. 6. 7.46-4 231. 33. 36-86 29-46 07-40 13.66 2.35 0.23 0.79 07 33-1 2.77 23 90. 14. 37-60 41-22 56-38 10.52 1.90 22-2 8. 6.58.49-1 245. 3.64-59 51-97 72-62 13.99 2.08 0. 28 0.47 09 33-6 2.65 19 91.24.50-28 56-43 53-85 11.86 1.86 18-9 9. 7.51.21-0 258. 16. 19-47 13-69 65-78 13.93 1.83 0.51 0.21 14 33-8 2.49 10 92. 28. 47-48 57-64 49-84 13.07 1.78 15-9 Sub. Sub. s \ 7. 02 Sub. Sub. Sub. 0.76 Sub. \\ 30 Sub. 20-8 Sub. a > 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. i. oo Sub. 23-7 2.00 4. 00 [P]2 [108] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich T" T* i? Ecliptic <- '. ji .H ^ . -- 5 t S ; S.1 E o a .- X u :3 c tf c .2 c o == = N.P. 1). of lie O a. "o c .5 => = 1 gj* Obsei ration Moon's Center r T ,-. ' r^ fli If 1 | c |l c - = E. u |. M Moon's Center -I ~- i^"- ill &&. u c >- |z of from 'j. **. = BH W O ; < s. J >. * < ^ " a X < from J$ .5 u > z c= < Moon's Limb. Observation. s j 6.5 u.S 5.5 Observation. * Ir y & S.= ww 1780. O 1 It " - s * s " " g - ' '/ a n g * V - Aug. 11. 9.37.53-9 283. 59. 48-91 42-94 65-97 12.71 1.39 1.46 0.00 33 34-3 2.04 10 94. 7.29-79 39-06 50-73 14.94 1.50 11-3 12. 10. 29. 30-7 296. 35. 41-28 37-75 63-53 11.66 1.22 2. 13 0. 11 42 34-6 1.77 09 94. 38. 21-08 34-74 46-34 15.53 1.33 9-6 17.14.11.49-2 358. 4. 0-08 1-68 58-40 4.43 1.04 6.07 1.45 39 36-0 0.45 14 93. 47. 41-77 53-22 48-55 14. 59 0.42 8-6 21. 16. 57. 55-4 47. 47. 36-67 39-03 57-64 0.33 1.6! 7.75 0.96 08 36-8 0.00 30 89. 55. 42-91 47-99 54-92 10.21 0. 10 16-3 22. 17.46. 33-0 60. 53. 16-84 16-04 60-80 0.04 1.93 7.75 0.64 08 37-0 0. 03 34 88. 46. 58-24 61-92 56-32 8.90 0.12 19-2 23. 18. 39. 53-2 74.26. 13-65 9-22 64-43 0.14 2. 20 7.58 0.35 12 372 0. 11 39 87. 39. 54-86 58-84 5602 7.63 0.20 22-4 Sep. 4. 4.52.49-5 240.20. 15-93 15-89 60-04 13.83 2.25 0.48 1.22 13 39-4 2.69 40 91.15.51-84 58-39 53-45 11.53 1.88 34-7 5. 5. 46. 7-0 253. 54. 27-79 20-44 67-35 14.01 1.98 0.27 0.95 08 39-6 2.79 36 9-2.23.15-95 20-61 5534 12. 82 1.80 32-0 6. 6.40. 8-7 267. 5.61-82 55-24 66-58 13. 80 1.73 0.24 0.63 07 39-7 2.83 31 93. 20. 53-26 67-29 45-97 13.91 1.69 29-2 11.10.47. 11-9 329. 40. 70-49 57-14 73-35 8.39 0. 99 2.49 0.20 46 40-4 2.22 12 94.64.51-01 60-12 50-89 15.79 0.80 15-0 12.11.29. 6-3 341.53.61-21 42-45 78-76 6.86 0.97 3.29 0. 47 52 40-5 1.97 10 94. 32. 15-84 20-35 55-49 15. 39 0. 62 126 14. 12.51. 4-2 6. 21. 38-27 26-52 71-75 3.90 1.07 4.94 1.12 51 40-7 1.42 08 93. 10. 36 73 49-51 47-22 13.91 0.31 9-2 15. 13. 30. 56-7 18.39.51-83 48-85 62-98 2.60 1.19 5.72 1.37 44 40-8 1. 14 08 92. 15. 4-65 15-71 48-94 12. 88 0.20 8-1 16. 14. 12. 56 31. 6. 5-91 2-41 63-50 1.50 1. 3a 6.40 1.50 35 41-0 0.87 10 91. 12. 26-46 36-60 49-80 11.73 0. 13 7-5 17. 14.55.32-1 43. 40. 30-55 27-19 63-36 0.68 1.55 6.98 1.50 25 41-1 0.62 12 90. 5.15-46 24-88 50-58 1 0. 48 0. 10 7-5 18. 15.42. 14-5 56.30. 4-14 1-75 62-39 0.17 1.78 7.39 1.36 16 41-1 0. 40 15 88. 56. 22-66 32-94 49-72 9.19 0. 11 8-0 19. 16. 32. 57-6 69. 38. 13-75 11-99 61-76 0.03 2.03 7.69 1. 11 10 41 2 0.22 18 87.49. 9-45 15-50 53-95 7.93 0. 17 9-1 20. 17.27.539 83. 9.27-27 22-82 64-45 0.28 2.30 7.78 0.81 07 41-3 0.09 22 86.47. 7-54 12-13 55-41 6.77 0.28 10-8 22. 19. 26. 50 2 111.33.42-00 38-02 63-98 1.95 2.80 7.42 0.24 15 41-4 0.00 31 85. 15. 7-31 13-67 53-64 5.01 0.63 15-9 Oct. 2. 3. 35. 33-9 248. 14. 30-86 36-56 54-30 13. 95 2.15 1.17 1.45 26 41 6 1.89 51 92. 7.38-80 41-63 57-17 12.42 1.83 400 7. 8. 0. 1-0 313.14.44-91 47-99 56-92 10.70 1.12 0.51 0.22 14 41-5 2.81 34 95. 12. 31-06 46-56 44-50 15.93 1.03 33-3 10.10. 8.216 349.56.13-13 3-45 69-68 6.28 ). 98 2.08 0.10 42 41-3 2.72 21 94.13.27-70 36-60 51-10 14.91 0.4!) 25"2 11.10.48. 10-1 2. 11.20-85 6-69 74-16 4.79 1.02 2.83 0.32 49 41-2 2.58 17 93.28.40-51 47-81 52-70 14. 11 0.34 22-4 12.11.28. 11 14.31.59-39 45-36 74-03 3.38 1. 11 3.64 0.62 54 4l"2 2.39 14 92. 33. 42-45 51-76 50-69 13.1-2 0. 22 19-7 13. 12. 10. 59-5 27. 1.33-34 23-10 70-24 2.16 1.25 4.47 0.95 53 41-1 2.16 11 91. 30. 40-81 50-13 50-68 11.98 0.14 168 14. 12. 53. 58-7 39.40. 9-21 0-54 68-67 1. 15 1.42 5.29 1.24 48 41-0 1.91 09 90. 22. 16-89 30-59 46-30 10.74 0. 10 141 17.15.23.10-1 78. 57. 30-55 18-36 72-19 0.08 2.14 7.19 1.45 20 40-7 1.07 09 80. 57. 35-65 4202 53-63 6.99 0. 26 8'6 22. 20. 9. 32-7 150. 30. 19-22 15-35 63-87 6.56 3. 15 7 22 0. 15 19 40-2 0. 06 23 84. 56. 58-53 60-33 58-20 4.72 1.25 11-2 Nov. 3. 5. 54. 3-6 308.26.15-11 15-48 69-63 11.49 1.20 28 1 0.97 08 38-2 1. 96 51 95. 15. 50-83 60-86 49-!>7 15.91 1.08 39-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4.00 0. 7 . ^ Ecliptic 'iL -o 'S |> ^ Mean Solar Time of Longitude of ill ."M P g Sat 11 II c li 11 a .2 1! N.P D. of II g ||o < O n-B II .2 eu . Observation Moon's Center JS H c ro ?s C .- 3 =: o" T3 o* 3 li.5. 1 8>5> Moon's Center p j5 . " T3 ^ aj 3 s>|> of from - , W O c a g c ^ ^ c < "*" [af p W i < from r> JD y > "Z-* $ i < Z Moon's Limb. Observation. C3.S > O c S.s Observation. f X ' W w 6.5 HH 1780. >" O ' " " it ' Nov. 4. 6.40.45-3 320. 52. 8-46 9-89 58-57 10.20 1.08 0.23 0.65 07 38-0 2.22 49 95. 14. 45-29 57-17 48-12 15.89 0.89 39-9 5. 7.24.19-5 333. 8. 10-40 12-61 57-79 8.75 1.00 0.35 0. 36 10 37-8 2.44 46 94. 59. 13-77 29-17 44-60 15.61 0.70 39-4 7. 8.45.32-4 357. 32. 12-00 10-41 61-59 5.71 0.99 1. 13 0.01 26 37-4 2.75 38 93. 49. 20-62 26-67 53-95 14.34 0.38 37-0 8. 9. 25. 13-2 9. 49. 65-71 57-32 68-39 4.24 1.05 1.73 0.03 37 37-2 2.82 33 92. 57. 25-17 28-29 56-88 13.40 0.25 35-0 13. 13. 17. 52-9 74. 34. 34-40 35-21 59-19 0.03 1.97 5.67 1.35 45 36-0 2.34 13 87. 17. 28-97 32-52 56-45 7.24 0.23 20-9 14. 14. 14. 42-5 88. 20. 32-65 27-77 64-88 0. 19 2.24 6.36 1.50 35 35-7 2.10 11 86. 17. 27-42 32-17 55-25 6. 16 0.37 17-7 15.15.13.41-2 102.21.46-75 36-80 69-95 0.74 2.50 6.95 1.50 25 35-5 1.83 09 85. 29. 38-63 4*0-50 58-13 5.30 0.54 14-8 16.16.12.44-3 116.35.62-63 51 53 71-10 1.68 2.74 7.39 1.37 16 35-3 1.55 08 84. 57. 36-40 36-03 60-37 4.73 0.75 12-0 Dec. 8. 9. 25. 37-9 42. 18. 8-42 7-10 61-26 1.38 1.38 2.03 0.08 41 28-6 2.65 41 90. 6.20-68 21-55 59-13 10.18 0. 10 393 17.17.43.11-4 170. 33. 48-48 36-61 71-87 6.89 3. 18 7-74 0.98 08 25-4 1.76 09 85.55. 4-64 1-71 62-93 5.77 1.57 13-9 18. 18.31.14-0 185. 9.20-96 13-67 67"29 8.64 3.14 7.75 0.67 08 24-8 1.47 08 86. 50. 37-08 35-93 61-15 6.83 1.72 11 3 1781. Jan. 2. 5. 55. 20-3 11. 44.44-27 40-89 63-38 4.59 1.03 0.23 0.68 07 19-8 0.96 51 92. 32. 43-52 47-36 56-16 12.98 0.21 30-9 3. 6. 35. 16-6 24. 17-58 14-72 62-86 3.22 1.13 0.34 0.38 10 19-1 1.24 52 91.32.53-74 55-10 58-64 11.85 0.14 33-5 4. 7. 17. 12-2 36. 28. 33-42 40-79 52-63 2.0-2 1.27 0. 63 0.14 16 18-8 1.53 53 90. 27. 32-72 39-53 53-19 10.62 0.10 35-6 8.10.45. 5-5 90.21. 10-48 12-38 58-10 0.11 2.17 3.17 0.43 52 17-5 2.54 44 86. 11.35-13 36-84 58-29 5.83 0.42 40-0 9.11.46.45-3 104. 59. 3T09 40-57 56-52 0.57 2.44 4.00 0. 75 54 17-1 2.69 40 85.29. 0-26 3-91 56-35 5.04 0.62 39-4 30. 4.30.55-3 19. 3.44-09 33-83 70-2(5 4.06 1.06 0.40 1.14 11 10-0 0.15 40 91.41.2207 27-31 54-76 12.18 0.15 17-5 Feb. 1. 5.54. 9-7 43.40.70-16 57-48 72-68 1.62 1.3:' 0.26 0.54 08 9-5 0.51 47 89.33. 1-93 4-54 57-39 9.76 0.10 22-9 2. 6.40.32-6 56.24.32-41 20-10 7-2-31 0.76 1.53 0.44 0.26 13 9-2 0.76 50 88.27. 7-74 8-60 59-14 8.50 0.14 26-0 4. 8. 27. 2-0 83. 12. 15-50 6-85 68-65 0.03 2.01 1.33 0. 00 30 8-4 1.32 53 86. 27. 17-75 18-58 59-17 6.22 0.36 32-0 6. 10. 28. 29-4 112. 10. 10-83 11-90 58-93 0.85 2.53 2.71 0.28 49 7-8 1.9!) 51 85. 10. 40-57 41-54 59-03 4.73 0.74 372 7.11.29.51-5 127. 23. 10-76 9-70 61-06 1.83 2.77 3.58 0.58 53 7-6 2.17 49 84.59.13-79 15-27 58-52 4.50 0.98 38-9 8. 12 31. 11-8 142. 56 31-28 22 96 68-32 3.17 2.97 4.42 0.91 53 7-3 2,40 46 85. 9. 33-31 30-77 62-5. 4.67 1.22 39-8 9. 13. 26. 45-4 158.35.67-75 54-80 72-95 4. 75 3. 11 5.23 1.22 49 7-1 2.59 43 85. 41. 33-03 31-65 61-38 5.26 1.45 39-9 13. 16. 50. 30-4 219. 21.65-30 59-28 6602 11.40 2. 9( 7.53 1.28 13 59 2. 80 25 90. 10. 47-4-2 51-3! 56-12 10.31 1.9( 3-2-2 15. 18.36.20-0 247. 3S. 52-28 40-08 72-20 13. 46 2. 44 7.76 0.69 07 5-4 2. 56 17 92.33.31-41 4-2-30 49-11 13. 02 1.78 ,26-0 Mar. 5. 8. 9. 56'1 104.49.49-91 33-98 75-93 0.42 2 37 1.05 0.02 25 1-9 0.58 48 85.12.21-60 20-4( 61-14 4.93 0. 66 ! 21-9 6. 9. 10. 9-6 119. 26. 26-41 14-37 7204 1.18 2.63 1.63 0. 02 35 1-7 0.83 61 84. 54. 2-34 261 5973 4.55 88 255 7. 10. 9. 24-6 134. 33 32-03 2243 69'6f 2.30 2.85 2.33 0. 16 45 1-6 1.11 52 84. 55. 54-04 59-83 54-21 4.54 I. 1 29-2 Sub. Sub. Sub Sub. ' Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. , ( ! e \ >\ : ff \ 8 \ g ^ \ \\ \ 60-00 7 O-i-2 00 4 ()( 0. 7(5 30 20-8 1.4-2 30 60-00 10. 21 l.CO 23-7 [110] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. 11 SJ Change for 05-1 in Argument. Parallactic Inequality. Variation. Change for 08-1 in Argument. c o 3 C c- c 3 Evection. Change for OS- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. Excess of Ob- 1 served Ecliptic 1 N. P.O. Effect of Mean Inclination. Change for 05-1 in Argument. Evection in E. N. P.O. 1781. " " m ' Mar. 10. 12. 55. 47'7 O ' 181.42.54-50 46-04 a 68-46 7.13 \ \\ 3.18 \ \\ 4.76 e > 1.06 52 \ 1-2 g * 1.98 51 O 1 II 87. 9. 7-13 6-50 a 60-63 f ' 6.90 \ \\ 1.73 37-9 11.13.47.33-6 197. 25. 43-28 35-34 67-94 8.88 3.13 5.56 1.33 46 1-1 2.23 48 88. 25. 24-72 24-88 59-84 8.29 1. 85 39-4 13. 15. 33. 8-2 227. 54. 23-85 22-77 61-08 11.89 2. 83 6.87 1.51 26 0-8 2.63 42 91. 8.37-44 44-55 52-89 11.31 1.88 39-8 14. 16. 28. 21-4 242. 30. 33-02 32-29 60-73 12.97 2.60 7.34 1.39 17 0-7 2.75 37 92.23. 1-26 8-30 52-96 12.69 1.81 38-8 30. 4. 8.24-4 72.41.22-78 23-52 59-26 0.31 1.70 0.42 1.16 12 o-o 0. 14 20 86.45. 7-33 8-97 58-36 6.80 0.28 7-4 April 1. 5.58.48-5 99. 14. 32-77 26-50 66-27 0.15 2.21 0.25 0.56 08 o-o 0.00 29 85. 14. 50-79 45-72 65-07 5. 10 0.60 8-8 2. 6.56.49-1 113. 8.66-92 58-86 68-06 0.66 2.47 0.42 0.27 12 o-o 0.02 34 84.60.41-40 41-22 60-18 4.63 0.80 10-5 3. 7.54.30-3 127.31.46-40 27-45 78-95 1.56 2. 72 0.81 0.07 20 o-o 0.10 38 84. 44. 47-93 49-12 58-81 4.50 1.03 12-8 6.10.37. 3-7 173. 9. 11-91 0-59 71-32 6.02 3.17 2.71 0.27 48 0-2 0.65 49 86. 30. 55-59 58-44 57-15 6.35 1.66 22-9 10. 14. 13. 14-7 235. 29. 37-67 33-15 64-52 12.34 2.75 5.92 1.42 42 0-4 1.77 52 91.53.49-90 54-46 55-44 12.18 1.85 36-4 13.17. 9.25-2 278. 39. 56-77 51-06 65-71 14.01 1.98 7.51 1.29 13 0-7 2.51 44 94. 45. 25-78 37-30 48-48 15.33 1.40 40-0 14.18. 5.24-8 292. 6. 19-33 9-45 69-88 13.78 1.73 7.73 1.01 08 0-8 2.67 41 95. 9.46-06 51-31 54-75 15.78 1.20 39-8 15. 18. 57. 35-5 305. 7. 44-14 33-25 70-89 13.20 1.50 7.76 0.70 07 0-9 2.78 36 95. 17. 8-52 13-35 55-17 15.93 1.00 39-0 16. 19. 45. 40-0 317. 48. 39-29 28-58 70-71 12.30 1.31 7.63 0.40 11 1-0 2.83 32 95. 8.39-79 46-48 53-31 15. 79 0.80 37-7 May 1. 6.41.48-4 136.38.57-45 59-63 57-82 1.99 2.80 0.31 0.41 09 3-1 0.11 22 84. 49. 44-86 45-13 59-73 4.63 1.19 7-4 2. 7.34.37-9 151. 12. 55-65 52-84 62-81 3.35 2.99 0.57 0. 16 16 3-3 0.02 26 85. 16. 29-56 29-74 59-82 5.11 1.41 7-8 9. 13. 53. 17-8 257. 40. 64-08 56-15 67-93 13.54 2.41 5.56 1.32 46 4-8 0.98 52 93. 36. 40-03 55-18 44-85 14. 17 1. 65 27'8 11.15.53.17-3 286. 14. 32-82 25-54 67-28 13.97 1.88 6.87 1.51 27 5-2 1.57 53 95. 0. 5-88 19-81 46-07 15.67 1.27 33-9 12.16.48.45-2 299. 47. 47-68 40-36 67-32 13.60 1.64 7.34 1.39 17 5-4 1.85 5-2 95. 14. 48-76 55-06 53-70 15. 92 1.06 36-3 28. 4.37.47-7 132. 16.22-54 15-61 66-93 1.31 2.66 0.42 1.17 12 9-6 1.10 08 84.51. 9-92 10-22 59-70 4.57 1.15 15-2 29. 5. 30. 28-6 146. 32. 14-61 13-24 61-27 2.48 2.88 0.25 0.89 08 9-9 0. 83 10 85. 11. 45-08 42-42 62-66 4. 97 1.3G 12-4 31. 7. 9.32-0 175.37.57-78 63-02 54-76 5.59 3.15 0.42 0.28 12 10-7 0.37 15 86. 46. 14-0-2 13-20 00-82 6.76 1.72 8-6 June 1. 7.57.58-2 190.26.19-40 22-64 56-76 7.35 3. 18 0.78 0.08 19 11-0 0.20 19 87. 55. 16-98 15-98 01-00 8.05 1.83 7-6 3. 9.39.19-0 220.24.28-35 25-31 63-04 10.69 2.99 1.93 0.06 39 11-5 0.01 27 90. 34. 48-03 55'21 52-82 11.00 1.89 8-1 4.10.34.26-6 235. 26. 24-54 25-00 59-54 12.04 2.80 2.66 0.25 48 11-8 0.00 32 91.53.51-10 57-83 53-27 12. 15 1.83 9-6 28. 6.55. 9-2 185.48.41-68 37-60 64-08 6.26 3.17 0.22 0.74 07 19-8 1.31 OS 87. 44. 18-27 6-18 72-09 7.75 1.81 17-5 29. 6.43.11-0 200.25.45-16 48-13 57-03 8.02 3.17 0.30 0.43 09 20-2 1.03 09 88. 57. 33-85 35-27 58-58 9.14 1.89 14-3 30. 7.32.47-7 215. 3. 50 47 54-84 55-63 9.71 3.08 0.55 0.18 15 20-8 0.76 10 90.15. 11-74 12-29 59-45 10.60 1.90 11-7 July 4.11.19.53-6 273. 10. 27-41 34-22 53-19 13.89 2.21 3. 06 0.38 51 22-1 0.05 24 94. 24. 58-20 69-43 48-77 15.27 1.42 7-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 \ \\ 2. 00 4.00 0. 76 30 20-8 1.4-2 \\ 30 60*00 10.21 \ v\ 1.00 '23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [Ill] Greenwich Mean Sol.ir Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for OS- 1 in Argument. Parallactic Inequality. d t o J8 *u cB Change for Os-1 in Argument. Annual Equation. Erection. 1 Change for OB- 1 1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Eclipticl N. P. D. "" .9* ||S Effect of Mean Inclination. 1 Change for Os-1 1 in Argument. |z Htd 1781. " O 1 II n " g ' > \ \\ e * * * " O f ft " n t * X \ July 5.12.21.38-5 287. 17.52-79 56-39 56-40 14.00 1.94 3.88 0.70 54 22-4 0.00 28 94.52. 8-97 18-90 50-07 15.77 1.21 8-3 14. 19. 2. 0-4 41.27.46-06 48-68 57-38 3.69 1.09 7.53 0.31 13 25-6 1.71 52 89. 3.64-94 58-66 66-28 9.11 0. 12 30-4 Aug. 6. 14. 16. 56-8 347. 39. 15-33 14-71 60-62 10.50 1.10 5.82 1.40 43 32-8 0.00 30 93. 16. 56-29 55-54 60-75 14.01 0.33 7-9 8. 15. 36. 7-6 12. 12. 23-06 29-98 53-08 7.58 0.97 7.06 1.48 23 33-6 0.11 39 91. 23. 13-05 5-35 67-70 11.87 0. 14 10-4 10.16.56.31-5 36. 28. 18-56 15-65 62-91 4.56 1.03 7.71 1.06 09 34-1 0.43 46 89. 14.60-18 57-68 62-50 9.47 0.11 14-3 24. 4. 16. 54-0 220. 36. 57-59 58-41 59-18 9.33 3.11 0.63 1.31 16 37-4 2.75 23 91. 12. 51-92 43-57 68-35 11.44 1.88 37-6 25. 5. 10. 45-4 235.15.54-81 46-17 68-64 10.89 2.97 0.34 1.06 10 37-6 2.63 18 92. 26. 11-70 4-04 67-66 12.82 1.80 35-4 27. 7. 5. 17-2 263. 45. 46-36 40-61 65-75 13.20 2.53 0.30 0.44 09 38-0 2.24 12 94. 17. 40-08 33-53 66-55 14.94 1.50 29-7 28. 8. 3.42-3 277. 36. 47-90 47-26 60-64 13.81 2.27 0.55 0.18 15 38-2 1.99 10 94. 50. 24-32 11-61 72-71 15.57 1.31 26-5 29. 9. 0.25-8 291. 11. 55 32 58-04 57-28 14.01 2.00 0.97 0.03 24 38-3 1.72 09 95. 5.45-84 44-26 61-58 15.89 1.10 23-2 30. 9. 53. 55-0 304. 31. 14-52 1921 55-31 13.83 1.75 1.55 0.01 34 38-5 1.43 OS 95. 4. 13-69 18-18 55-51 15.90 0.90 19-9 31. 10. 43. 29"2 317.35. 13-99 16-68 57-31 13.28 1.52 2.23 0. 13 43 38-8 1.15 08 94. 46. 55-21 53-01 62-20 15.60 0.70 17-0 Sep. 2. 12. 14. 0-3 343. 1. 46-66 51-39 55-27 11.30 1.17 3.82 0.68 54 39-1 0.63 12 93. 31. 22-97 21-91 61-06 14.24 0.36 12-2 5. 14. 12. 59 6 19. 50. 12-60 20-32 52-28 7.00 0.97 6.17 1.47 38 39-6 0.10 22 90. 33. 36-44 35-22 61-22 10.99 0.11 7-9 6. 14. 53. 9-8 31.56.31-68 37-48 54-20 5.48 1.00 6.79 1.5i 28 39-7 0.02 26 89. 27. 51-20 49-77 61-43 9.77 0. 10 7-5 7. 15. 35. 16-8 44. 4.52-49 54-94 57-55 4.03 1. 06 7.25 1.42 19 398 0.00 31 88. 23. 15-91 12-72 63-19 8.58 0.14 7-5 8. 16. 20. 14-8 56. 20. 29-79 2711 62-08 2.71 I. 18 7.60 1.21 11 40-1 0.04 35 87- 22. 24-24 18-78 65-4C 7.45 0.21 8-1 24. 5. 58. 10-7 273. 18.61-44 56-74 64-70 13.48 2.43 0.26 0.92 08 41-5 2.81 20 94. 51. 36-40 32-21 64-19 15.47 1.35 38-9 25. 6.56. 7-1 287. 4.45-25 41-95 63-30 13.93 2.17 0.24 0.60 08 41-5 2.72 21 95.11.33-93 38-79 55-14 15. 80 1. 15 3T3 28. 9. 27. 38-5 326. 19.20-23 16-93 6330 12.99 1.45 1.21 0.00 28 41-6 2.17 11 94.31. 4-52 12-31 522 15.17 0. 65 30-2 30. 10.51.30-2 351.15.41-04 35-03 66-01 10. 82 1.13 2.55 0.23 47 41-6 1.65 08 92. 57. 55-84 56-80 59-04 13.50 0.26 21-5 Oct. 1.11.30.52-7 3. 30. 34-67 30-88 63-79 9.44 1.03 3.35 0.51 53 41-6 1.36 08 91. 58. 25-24 24-83 60-41 12.42 0. 1~ 21-7 2.12. 11.568 15.41. 13-52 13-98 59-54 7.95 0.98 4.18 0.83 54 41-6 1.08 09 90. 53. 42-09 43-28 58-81 11.26 0.11 18-9 3. 12. 51. 40-8 27. 48. 24-44 29-23 55-21 6.42 0.97 5.00 1. 14 51 41-6 0.81 10 89.46.47-18 49-25 57-93 10.04 0.10 16-3 6. 14. 16.53-1 52. 7.41-41 46-04 55-37 3.51 1. 10 6.45 1.51 34 41-5 0.36 16 87.37. 8-15 12-05 66-10 7.69 0. 19 11-7 7. 15. 54. 6-8 76. 57. 49-04 44-84 64-20 1.23 1.41 7.44 1.34 15 41-5 0.07 23 85.51. 14-13 12-31 61-82 5.76 0.44 8-6 8. 16. 47. 22-3 89.44.39-12 3333 65-79 0.49 1.62 7.70 1.08 09 41-4 0.01 27 85. 13. 45-36 40-45 64-91 5.08 0.61 7', 9. 17. 42. 35-4 102. 51.26-52 23-69 62-83 0.09 1.86 7.78 0.77 07 41-4 0.00 32 84. 49. 57-35 54-14 63-21 4.64 0.80 7-4 22. 4.47.33-3 282. 4. 7-04 18-83 48-21 13. 70 2.33 0.63 1.31 16 40-3 2.61 42 95. 9. 32-43 20-02 72-41 15. 79 1.20 38-3 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 7. 02 1. 00 4. 00 0. 76 30 20-8 1.42 30 Go'-OO 10. 21 i. oo 23-7 [112] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. f| Change for O''l in Argument. Parallactic Inequality. Variation. Change for 0?-1 in Argument. ^- C Evection. Change for Os- 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. II Effect of Mean Inclination. Change for OS- 1 1 in Argument. \* 1781. **.- Oct. 23. 5. 44. 50-2 1 II 295. 64. 51-74 it 63-74 n 48-00 g " 14.00 2.07 X \\ 0.34 * > 1.07 \\ 10 \ 40-2 g " 2.74 38 o r a 95. 17. 47-07 II 55-50 51-57 g ' 15.93 V \\ 0.99 \ 39-5 26. 8. 9.55-4 334. 53. 29-01 31-45 57-56 12.65 1.37 0.53 0.20 14 39-6 2.79 24 94. 5.47-04 49-58 57-46 14. 60 0.42 39-2 28. 9.30.41-1 359. 31. 17-88 11-59 66-29 10.32 1.09 1.50 0.01 33 39-4 2.54 17 92. 19. 22-83 27-27 55-50 12.60 0. 19 36-4 29. 10. 9. 34-3 11.39.51-33 41-03 70-30 8.89 1.01 2.18 0.11 43 39-2 2.35 13 91. 16. 12-12 12-42 59-70 11.51 0. 12 34-5 30. 10. 48. 53-8 23. 46. 40-59 30-01 70-58 7.38 0.97 2.94 0.34 50 39-1 2.12 11 90. 9.48-05 43-17 04-88 10. 30 0.10 32-2 31.11.29.38-9 35.54.61-89 5333 68-56 5.84 0.98 3.76 0.65 54 38-9 1.86 09 89. 2. 39-85 4336 50-49 9. 10 0.12 29-7 Nov. 1. 12. 14. 51-9 48. 8.45-81 43-90 61-85 4.37 1.04 4.59 0.98 53 38-6 1.58 08 87. 67. 55-54 55-85 59-09 7.92 0.18 20-8 3. 13. 50. 21-9 72. 57. 26-66 25-25 01-41 1.84 1.29 6.12 1.46 39 38-2 1.01 09 80. 0. 50-53 40-31 04-22 5.93 0.41 20-9 7. 17.25.37-1 125. 8.13-93 10-57 63-36 0.16 2.22 7.75 0.94 08 37-4 0.16 20 84.49. 9-65 5-28 04-37 4.00 1.17 10-7 8. 18. 17. 48-9 138. 55. 19-36 17-98 61-38 0.68 2.48 7.74 0.62 08 37-0 0.05 24 85. 10. 57-28 49-38 07-90 5.02 1. 38 9-0 22. 6. 6. 30-9 330. 19. 35-79 47-15 48-64 13.18 1.49 0.26 0.93 08 33-8 2.48 45 94. 15. 0-99 7-10 53-83 14.80 0.46 36-1 26. 8.47.32-1 19. 34. 42-50 40-07 02-43 8.32 0.99 1.17 0.00 27 32-4 2.83 28 90. 29. 22-91 2531 57-00 10. 58 0. 10 40-0 Dec. 1. 12. 38. 4-3 81. 30.26-79 27-07 59-72 1.45 1.30 4. 94 1.13 51 31-0 2.05 10 85. 41. 54-43 60-71 5372 5.33 0. 53 33-9 10. 20. 16. 33-6 206. 14. 21-85 18-31 63-54 6.71 3.18 6.98 0.08 24 27-7 0.03 25 90. 11. 57-89 58-34 59-55 10.59 1.90 8-7 20. 4.43.34-1 337. 42. 15-47 19-33 56-14 12.87 1.42 0.06 1.33 17 24-4 1.52 53 93. 36. 35-53 35-55 59-98 14.21 0.36 23-7 23. 6.44.33-5 14. 57. 17-61 27-37 50-24 9.25 1.02 0.28 0.48 09 23-5 2.32 47 90.42. 4-53 6-88 57-05 10.91 0. 11 32-0 24. 7. 24. 14-6 27. 3.56-81 02-84 53-97 7.75 0.93 0.51 0.22 14 23-1 2.52 44 89. 37. 45-10 40-94 04-10 9.68 0.10 34-0 25. 8. 5.34-5 39. 12. 7-42 11-71 55-71 6.22 0.98 0.90 0.05 22 22-5 2.68 40 88.34.18-47 14-79 0308 8.49 0.14 30-4 27. 9.36.68-6 03.55. 3-92 7-75 50-17 3.32 1.12 2. 13 0. 10 42 21-8 2.83 31 86. 40. 34-86 29-11 05-75 6.36 0.34 39-2 28. 10. 28. 1-0 76.38. 0-54 4-32 56-22 2.10 1.20 2.88 0.32 50 21-5 2.82 27 85.55. 33-51 34-20 59-31 5.52 0.49 39-8 29. 11. 22. 10-9 89.38. 9-45 8-22 61-23 1. 10 1.44 3.70 0.63 64 21-1 2.75 22 85. 22. 25-20 20-92 04-28 4.91 0.67 40-0 1782. Jan. 2.15. 1.29-4 144. 9.41-08 34-74 6634 0.53 2.42 6.71 1.52 29 19-5 1.98 10 85. 40. 27-39 25-61 61-78 5.41 1.49 34-3 5. 17.24.15-0 186.44.60-01 59-50 01-11 3.97 3.05 7.75 0.90 08 18-5 1. 14 08 88.44. 8-05 4-58 63-47 8.79 1.87 25-0 7.19. 1.39-4 215.49.31-16 27-13 64-03 7.40 3.18 7.58 0.35 12 17-8 0.62 12 91. 16. 10-17 17-01 53-10 11.67 1.87 18-0 18. 3.59.57-0 357. 25. 32-44 29-03 63-41 11.43 1.19 0.90 1.41 21 13-9 0.75 50 91.55.20-95 21-71 59-24 12.46 0. 17 13-5 19. 4.39.50-1 9. 50. 37-33 37-34 59-99 10.13 1.07 0.51 1.23 13 13-6 1.01 52 90. 52. 17-21 15-83 01-38 11.27 0. 11 15-9 25. 9. 10. 38-0 83. 59. 36-04 30-82 59-22 1.69 1.32 1.73 0.03 37 11-5 2.57 43 85. 26. 59-99 59-53 00-40 5.08 0.67 32-7 30. 13. 45. 6-9 153. 7. 4 37 0-19 64-18 0.79 2.52 5. 67 1.36 44 10-0 2.72 21 86. 24. 9-00 5-86 03-80 6.05 1.02 40-0 31.14.34. 0-7 107. 37. 40-80 42-18 64-68 1.75 2.70 6.36 1.50 35 9-7 2.58 17 87. 24. 20-22 24-20 01-90 7.17 1.76 39-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 K \ 7.02 2. 00 \ \\ 4.00 0. 70 \\ 30 20-8 1 . 42 30 60-00 10.21 i . oo 237 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. . i-i Change forOS'l in Argument. Parallactic Inequality. Variation. Change for 08-1 in Argument. Annual Equation. Erection. Change for OS- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. , o'i . %T Effect of Mean Inclination. Change for Oe-1 in Argument a a 1782 -90 31-21 05-69 0.03 2.03 0.46 0.25 13 1-5 0.26 43 85. 16. 58-02 54-95 63-07 5. 13 1.41 7-4 22. 7.50. 1-5 146. 35. 60-09 50-99 69-10 0.26 2.29 0.84 0.06 21 1-6 0.45 47 85. 58. 50-59 48-15 62-44 5.90 1.59 7-7 30. 15. 20. 22-6 269. 4.30-01 27-72 62-29 11.48 2.89 6.63 1.52 31 2-9 2.54 44 95. 0.43-30 46-64 5666 15.71 1.25 30-6 May 18. 5. 0. 6-1 128. 1.48-60 48-57 60-03 0.08 1.87 0.30 1.00 09 6-8 0.09 22 85. 14. 13-81 7-76 66-05 4.99 1.36 15'9 23. 9. 0. 8-0 198. 25. 44 47 34-30 70-17 3.79 3.04 1.63 0.02 30 8-3 0.31 44 90.16.49-50 493960-11 10.67 1.90 7-4 21. 9.52.20-1 213 47. 19 79 16-14 63-65 5.43 3. 1J 2.33 0.17 45 8-5 0.51 47 91. 38. 0-82 2-51 58-31 12.17 1.85 7-8 29.15. 9. 2-4 29-2. 1. 8-02 5-89 62-73 13.03 2.58 6.31 1.49 36 10-1 1.90 51 95. 3.58-59 63-14 55-45 15.87 0.87 20-7 Sub. oo-oo Sub. 7.02 Sub. Sub. Sub. 6.76 Sub. \\ 30 Sub. 20-8 Sub. g * 1.42 Sub 30 Sub. oo-oo Sub. 10. 2i Sub. 1.00 Sub. 23-7 2.00 4.00 GREENWICH LUNAR REDUCTIONS. [Q] [H4] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. * ' " .5 'C 1J2 g=2 g C 9 J Excess of Observed Longitude. iJ? .e-1 = sr W g Change for 03' 1 I in Argument. Parallactic Inequality. Variation. Change for Os- 1 1 in Argument. Annual Equation. Evection. Change for 0?-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. n. 1 O *?< n* ^ y- ^ o c .2 sj s S I Change for OS- 1 in Argument. ~ .opu - *s vZ KW 1782. June 14. 2. 57. 5'0 / // 124. 0. 67-5C II 52-01 it (75-55 g x 0. 26 1.71 \ u 1.25 e ( 1.46 28 \ 15-1 e v 1.05 09 Of// 85. 17. 24-43 It 5-18 // (79-25) s v 4. ay \ \ 1.33 \ 31-8 15. 3.46.41-1 137. 10. 25-3C 12-67 72-63 0. 03 1.96 0.75 1.36 18 15-4 0.78 10 85.48.53-12 44-57 68-55 5.50 1.51 29-0 16. 4. 34. 10-8 150.32.41-6'; 36-03 65-64 0.17 2. 22 0.40 1. 15 11 15-7 0.54 13 86. 34. 39-24 36-5- 62-67 6. 38 1.67 25-8 17. 5.20.11-0 164. 10. 28-6 JJ 28-78 59-91 0.70 2.49 0.25 0.86 08 16-0 0.34 16 87. 32. 63-70 59-75 63-95 7.49 1.79 22-4 19. 6. 52. 13-9 192.24.19-78 14-71 05-08 2.86 2.93 0.44 0.26 12 16-7 0. Ofl 23 89. 56. 23-30 21-11 02-19 10.21 1.90 16-1 20. 7.41. 7-4 207. 4. 68-39 55-84 72-55 4.38 3.09 0.81 0.07 20 17-0 0. 01 28 91. 13. 28-09 28-12 59-97 11.67 1.87 13-1 21. 8.33.54-6 222. 8.52-79 50-23 62-56 6. OS 3. 17 1.33 0.00 30 17-3 0.01 32 92. 27. 19-64 22-80 56-84 13.07 1.7S 10-5 22. 9.31.43-3 237.33. 1-42 1-31 60-11 7.87 3.17 1.98 0.07 40 17-9 0.07 37 93.32. 5-38 8-50 56-88 14.28 1.63 8-8 23. 10. 34. 33-3 253. 10. 32 98 35-75 57-23 9.58 3.09 2.71 0.28 48 18-2 0.19 41 94. 21. 58-49 56-78 61-71 15. 22 1.43 7-7 25. 12. 49. 4-4 284.22.45-10 38-29 66-81 12.41 2.73 4.42 0.91 53 18-9 0.58 48 95. 0.32-64 35-52 57-12 15.93 0.96 8-1 27. 14. 47. 39-0 314. 8.68-06 54-64 73-42 13.87 2.22 5.97 1.43 41 19-5 1. 11 52 94. 15. 32-20 40-56 51-70 15.06 0.52 11-8 July 2. 18. 27. 55'9 19. 55. 39-53 33-60 65-87 11. 11 1.15 7.76 0.69 07 21-4 2.45 45 89. 17. 34-06 35-36 58-70 9.40 0. 11 20-0 15. 4. 4.15-5 173. 62. 25-72 11-90 73-82 1.01 2.58 0.55 1.28 15 25-9 1.26 08 88. 34. 25-95 18-18 67-77 8.o2 1.86 34-9 19. 7.20.43-2 231.31.43-07 43-02 60-05 6.76 3. 18 0.60 0. 16 16 27-1 0.29 17 93. 20. 16-66 16-48 60-18 13.95 1.6S 21-9 20. 8.19.41-3 246. 35. 29-48 34-79 54-69 8.53 3. 15 1. 05 0.02 25 27-4 0.14 20 94. 12. 24-15 22-09 61-46 14.95 1.50 18-2 21. 9.22.49-9 261. 49. 24-70 27-48 57-22 10.20 3.04 1.63 0.02 35 27-7 0.04 25 94.47.11-58 13-59 57-99 15. 63 1.29 15-0 22.10.27.45-4 277. 5. 16-04 20-80 55-24 11.65 2.87 2.33 0.16 45 28-0 0.00 29 95. 1.55-07 45-54 69-53 15.92 1.06 12-0 24. 12. 32. 44-9 307. 5.45-20 3524 69-96 3.58 2.39 3.94 0.74 54 28-9 0.10 38 94. 28. 23-56 19-56 64-00 15.33 ). 60 8-3 24. 12. 32. 44-9 307. 5.46-25 3524 71-01 3.58 2.39 3.94 0.74 54 28-9 0.10 38 94. 28. 19-77 19-56 (iO-21 15.33 0.60 8-3 27. 14. 59. 55-2 349. 1. 64-04 49-77 74-27 3.57 1.62 6.27 1.49 36 29-8 0.65 49 91.45. 5-12 12-62 52-50 12.30 0. 16 8-1 29. 16. 23. 10-9 14. 50. 22-90 12 15 70-75 1. 85 1.24 7.34 1.39 17 30-3 1. 19 52 89. 29. 34-51 39-54 54-97 9.76 0.10 11-0 30. 17. 4. 14-6 27. 17. 24 94 13-53 71-41 10.61 1.11 7.64 1.16 10 30-9 1.48 53 88. 24. 29-30 34-56 54-74 8.53 0.14 13-1 Aug. 16. 6. 12.26-9 241.41.14-67 6-81 67-86 7.44 3.18 0.25 0.66 08 35-5 1.18 08 94. 9.20-76 13-83 66-93 14.75 1.55 34-1 17. 7.12.54-6 256. 30. 46-29 45-39 60 '90 9.18 3. 12 0.42 0.27 12 357 0.91 09 94. 47. 47-95 48-68 59-27 15.49 1.35 31-1 18. 8.15.47-0 271.22. 4-20 7-36 56-84 10.79 2.98 0.78 0.07 20 36-0 0.65 11 95. 7. 10-93 12-10 58-83 15.88 1. 12 27-8 20. 10. 18. 0-2 300. 47. 46-31 48-52 57-79 13.14 2.55 1.98 0.07 40 364 0.24 18 94. 44. 60-18 58-91 61-27 15.53 0.67 20-7 25. 14.17.10-1 9.18.25-12 18-10 67-02 12.51 1.35 5.92 1.42 42 37-6 0. 13 39 89. 50. 12-28 12-91 59-37 10. 17 0.10 8-6 26. 14. 58. 33-1 22. 0. 15-84 6-44 69-40 11.41 1. 19 6.58 1.51 32 37-8 0.27 43 88.41.36-70 38-63 58-07 8.90 0. 12 7-7 28. 16.24.17-6 46. 46. 27-77 15-18 72-59 8.65 1. 00 7.49 1. SO 14 38-2 0.70 50 86.41.46-14 40-84 65-30 6.68 0.29 7-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 * v 7.02 2.00 4.00 6. 7 \\ 30 20-8 1.42 30 60-00 e \ 10.21 Loo 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [115] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation, Seconds of Tabular Longitude. Exc-ess of Observed Longitude. it Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for 08-1 in Argument. || Erection. Change for fls-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Eclipticl N. P. D. 9 C Z s. ^ w> Ecliptic *- "cL -s " . Mean Solar Time of Longitude of II! -g i i-o S fe = o a g .2 x II a _0 I <=> G - 1* S _ C ^c 3 VS 1 ! e N.P. D. of o :s " , y , Q -c U u " C , O ,1x C c-B sea ! 2 E fc Observation of Moon's Limb. Moon's Center from Observation. ==& Xl o3 * % '5- WO g S J If II 6.s ! . *C && z< 5.S C ff * " - e ' \\ O ' '/ a s * \ \\ Nov. 27. 18.13.59-6 157. 56. 35-02 34-92 60-10 0.03 2.03 7.74 0.59 08 321 0.02 34 87. 40. 36-08 32-51 63-57 7.71 1.81 16-3 28.18.58.37-6 171.29.6532 59-08 66-24 0.27 2.29 7.53 0.31 13 31-9 0.10 38 88. 48. 16-40 14-92 61-48 8.99 1. 88 13-5 30. 20. 31. 59-8 200. 4.54-30 42-46 71-84 1.91 2.79 6.63 0.05 30 31-3 0.42 46 91. 19. 4-99 4-62 60-37 11.83 1.86 9-2 Dec. 14. 8. 9. 12-7 28. 59. 12-89 8-35 64-54 11.97 1.26 0.75 0.09 19 26-7 2.75 23 87.51.43-13 41-21 61-92 7.70 0.19 35-0 15. 8. 51. 50-4 41. 16. 12-25 8-90 63-35 10.76 1. 12 1.25 0.00 28 26-4 2.63 19 86. 56. 32-91 30-99 61-92 6.66 0.30 37-0 18. 11. 14. 8-6 78. 0.60-54 54-41 66-13 6.33 0.98 3.41 0.51 53 25-1 2.00 10 85. 11. 19-03 15-59 63-44 4.68 0.77 39-9 19.12. 8. 3-9 90.22.43-87 43-42 60-45 4.82 1.02 4.24 0.84 54 24-8 1.73 09 85. 1.26-80 20-07 66-73 4.50 0.96 39-9 21. 13. 50. 57-5 115.18. 17-90 16-87 61-03 2. 17 1.25 5.82 1.39 43 24-1 1. 16 08 85. 23. 60-75 53-39 67-36 4. 94 1.35 38-3 22.14.39.55-1 127.54.36-05 37-13 58-9-2 1. 17 1.42 6. 49 1.51 33 23-8 0.89 10 85. 55. 57-40 53-5-2 63-88 5.65 1.52 36-7 28.19. 11.32-9 208. 17. 52-53 43-69 68-84 2.38 2.87 7.37 0.21 16 21-5 0.00 31 92. 13. 57-81 59-64 58-17 12.74 1.81 19-7 1783. Jan. 9. 5. 24. 31-6 11.50.24-08 28-32 55-76 13.42 1.57 0.34 1.06 10 17-1 2.36 47 89. 1.35-37 32-28 63-oy 9. 19 0.11 1C-8 12. 7.33. 3-9 49. 15. 33-32 31-46 61-86 10.25 1.08 0.53 0. 19 15 16-2 2.80 35 86. 12.25-81 24-43 61-38 5.97 0.40 25-5 13. 8. 19. 43-0 61.29.11-98 12-17 59-81 8.81 1.00 0.94 0.03 23 15-8 2.83 30 85. 35. 17-48 15-28 62-20 5.25 0. 55 233 14. 9. 8.53-2 73. 43. 50-78 50-05 60-13 7.29 0.97 1.50 0.01 33 15-5 2.81 26 85. 10. 16-64 15-69 60-95 4. 7 1.14 9-8 9. 6. 8.58-1 108. 7.24-48 24-49 59-99 4.08 1.06 0.24 0.63 07 0-3 0.93 51 85. 5. 16-30 9-41 6689 4.S8 1.32 8-6 10. 6. 58. 41-6 120. 34. 12-36 18-39 53-97 2.75 1.17 0.37 0.34 11 03 1.22 52 85. 35. 49-84 44-70 65-14 5.46 1.50 7-7 14.10. 2.26-0 173. 4.45-63 40-84 64-79 0.03 2.00 2.49 0.20 46 0-7 2.31 47 89. 34. 40-74 38-92 61-82 9.86 1.90 10-1 16.11.36. 3-3 201.43.27-87 27-12 60-75 0.82 2.53 4. 12 0.80 54 0-9 2.68 40 92. 7.47-36 40-92 66-44 12.66 1.81 15-0 18. 13.26. 4-7 231.51. 19-81 16-84 62-97 3. 10 2.96 5. 72 1.37 44 1-1 2.83 31 94. 13. 27-33 24-02 63-31 14.93 1.51 21-9 19. 14. 26. 57-4 247. 12. 22-90 17-12 65-78 4.68 3. 11 6.40 1.50 35 1-2 2.82 27 94. 52. 19-77 19-45 60-32 15. 62 1.29 25-8 21.16.35.58-5 277. 45. 58-59 5365 64-94 8. 19 3. 16 7.42 1.35 15 1-5 2.62 18 95. 6.24-24 21-43 62-S1 15. 8-2 0.82 32-7 27.21.44. 14-4 2.25.16-67 31-93 44-74 14.00 1.92 6.40 0.06 34 2-5 1. 14 08 89.32.35-13 29-70 65-43 9.56 0. 11 39-4 May 7. 4.51.30-1 115.39.14-50 11-60 62-90 3.55 1.10 0.37 1.10 10 4-2 0. 14 40 85. 31. 55-30 47-08 68-22 5.27 1.45 18-2 9. 6.25.13-4 140.36. 8-17 10-72 57-45 1.27 1.40 0.27 0.49 09 4-6 0.50 47 87. 0. 7-10 3-73 63-37 6.96 1.74 13-1 10. 7. 9. 32-9 153. 25. 54-24 55-23 59-01 0.52 1.61 0.48 0.22 14 4-8 0.73 50 87. 59. 60-48 59-3!) 61-09 8.09 1.84 11-0 11. 7.53.13-7 166.37.22-17 19-53 62-64 0. 10 1.84 0.87 0.05 22 50 1.00 52 89. 7. 50-98 50-35 60-63 9.36 1.89 9-3 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60 /; 00 > 7. 0-2 2. 00 4.00 0.76 30 20-8 1.42 30 eo'-oo t \ 10.21 X \\ 1.00 23-7 [118] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. lixcess of Observed Longitude. s 1-1 O* w Change for 0?- 1 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. S3 g *$ Evection. Change forO^'l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. 5-S O Q. . tj f* w? %"=-. >Z cSS Effect of Mean Inclinnlion. Change for OK-) 1 in Argument. Evection in E. N. P. D. 1783. * * * ' o / ii ii g * . \ \\ s ' g o / // II a g ' \ \\ > May 12. 8.37.24-8 180. 15. 30-18 29-04 61-14 0.06 2. 10 1.41 0.00 32 5-2 1.29 52 90. 20. 43-20 46-23 56-97 10.73 1.90 8-1 13. 9.23.28-0 194. 24. 8-22 5-70 62-52 0.40 2.36 2.08 0.10 42 5-6 1.58 52 91. 34.58-28 56-47 61-82 12.11 1.85 7-5 14. 10. 12. 52-0 209. 4. 28-74 30-37 58-37 1.14 2.62 2.83 0.32 49 5-9 1.87 51 92. 45. 24-93 28-56 56-37 13.43 1.74 7-6 15. 11. 7. 0-4 224. 14. 37-74 41-22 56-52 2.25 2.85 3.64 0.62 54 6-1 2.13 49 93. 46. 38-50 40-32 58-18 14.56 1.58 8-6 16. 12. 9. 14-6 239.50. 7-10 10-75 56-35 3.66 3.03 4.47 0.96 53 6-3 2.37 47 94. 32. 48-40 46-89 61-51 15.40 1.38 10-4 19. 15. 27. 3-7 287. 0.64-50 57'57 67-02 8.86 3.13 6.71 1.52 29 7-0 2.80 35 94. 42. 55-86 60-19 55-67 15.51 0.66 19-7 20. 16. 28. 23-9 302. 13. 16-02 9-60 65-42 10.49 3.01 7.22 1.44 20 7-3 2.83 30 94. 4. 5-94 7-26 58-68 14.75 0.45 23-5 21.17.23.57-5 316.57. C-17 2-48 63-69 11.89 2.83 7.58 1.24 12 7-8 2.80 25 93. 9.53-91 56-70 57-21 13.71 0.29 27-0 June 5. 4.20.57-1 136. 1.29-84 31-46 58-38 1.88 1.29 0.5) 1.24 13 11-8 0.01 28 86. 54. 39-37 34-29 65-08 6.70 1.71 29-0 6. 5. 4.55-7 148. 32. 27-38 24-60 62-78 0.95 1.47 0.28 0.97 09 12-4 0.01 32 87. 50. 44-94 41-56 63-38 7.77 1.81 26-0 8. 6.30.14-2 174.23. 3-57 0-75 62-82 0.04 1.94 0.35 0.36 10 13-0 0. 17 41 90. 3. 6-72 6-49 60-23 10.29 1.90 19-9 10. 8. 0. 15-5 201. 56. 38-39 31-26 67-13 0.63 2.46 1.13 0.01 26 13-6 0.55 48 92. 22. 47-09 48-99 58-10 12. 94 1.79 13-9 12. 9.46.51-4 231.43. 8-80 11-07 57-73 2.74 2.92 2.44 0. 18 46 14-2 1.08 52 94. 15. 30-61 34-70 55-91 15. 08 1.47 0-3 23. 19. 50. 55-4 33. 11. 52-00 46-13 65-87 13.23 1.51 7.44 0.24 15 18-2 2.69 20 86. 43. 25-28 17-68 67-60 6.51 0.32 29-5 July 5. 4.27.34-4 169.49. 6-36 9-90 56-46 0. 17 1.78 0.38 1. 12 11 22-1 0. 15 20 89. 53. 55-13 50-42 64-71 9.97 1.90 35-4 7. 5.53.29-3 196.20. 19-38 17-37 62-01 0.28 2.30 0.26 0. 51 08 23-0 0.00 29 92. 10.47-73 46-99 60-74 12.56 1.82 30-2 8. 6.40.29-2 210. 15. 17-63 11-24 66-39 0.92 2.56 0.46 0.24 13 23-3 0.01 33 93. 13. 12-07 12-01 60-00 13.75 1.71 27-0 9. 7.32.11-8 224.41.52-41 46-88 65-53 1.94 2.79 0.84 0.06 21 23-7 0.09 38 94. 5. 48-67 47-44 61-23 14.76 1.54 23-5 10. 8.29.46-6 239. 41. 22-27 1839 63-88 3.28 2.99 1.37 0.00 31 24-0 0.21 42 94. 43. 47-23 45-29 61-94 15.51 1.34 19-9 12. 10. 40. 37-9 271. 1.45-95 40-46 65-49 6.64 3.18 2.83 0.30 49 24-6 0.62 49 94. 58.56-18 56-51 59-67 15.86 0.86 12-9 13.11.48.13-7 287. 0.65-78 56-25 69-53 8.42 3. 15 3.64 0.61 53 24-9 0.88 51 94. 32. 10-06 10-51 59-55 15.39 0.62 10-4 14. 12. 54. 47-8 302. 55. 23-15 13-69 69-46 10.11 3.05 4.47 0.95 53 25-6 1.16 52 93. 44- 22-26 27-22 55-04 14.53 0.41 8-6 17.15. 34.20-3 348. 6.32-14 31-60 60-54 13.53 2.41 6.67 1.52 30 26-5 2.03 50 90. 10. 39-40 46-51 52-89 10.57 0.10 8-2 21. 18.32.47-3 41.33.62-46 53-76 68-70 2.93 1.43 7.75 0.66 08 27-7 2.77 37 85. 59. 24-05 22-24 61-81 5.81 0.43 16'3 Aug. 4. 4.36.34-2 205. 32. 56-45 51-80 84-65 0.48 2.40 0.29 0.99 09 32-0 0.45 14 93. 5. 11-22 4-23 66-99 13.49 1.74 39-0 8. 8.21.34-3 263. 44. 60-16 o8-58 61-58 5.64 3.15 1.09 0.01 26 33-3 0. 00 30 95.10.41-57 42-74 58-83 15.92 0.95 29-5 11. 11. 33. 9-0 310. 28. 60-41 oO-92 39-49 0.68 2.99 3.23 0.45 52 34-1 0.26 43 93. 14. 22-71 27-24 55-47 13.88 0.31 18-2 12.12.31. 15-7 325. 52. 56-49 51-18 85-31 2.04 2.80 4.00 0.77 54 34-3 0.46 47 92. 2.22-86 24-49 58-37 12.57 0.18 14-8 13. 13.22.21-2 340. 54. 10-28 4-34 35-94 3.07 2.57 4.88 1.09 51 34-6 0.69 49 90. 43. 18-62 23-21 55-41 11. 14 0.11 12-0 Sub Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 i. oo \ \\ 4.00 0.76 \\ 30 20-8 j t \ 1.42 30 60*00 g \ 0.21 1 . 00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [119] Greenwich Mean Solar Time f . Observation of Moon's Limb. Longitude of Moon's Center from Observation . Seconds of Tabular Longitude. Excess of Observed Longitude. fl w ^ Change for 05-1 in Argument. Parallactic Inequality. Variation. Change for 08-1 in Argument. Annual Equation. Evection. Change for fls-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. s| d Effect of Mean Inclination. Change for OS- 1 in Argument. Ig u ,' WW 1783. i " Aug. 14. 14. 10. 4-7 ' II 355. 28. 60-79 56-11 tt 64-68 s v 13. 14 \ \\ 2.31 \ \\ 5.67 g " 1.35 45 \ 35-0 0.96 51 a i it 89. 23. 28-44 a 36-75 51-69 a \ 9.67 0.10 9-8 16. 15. 40. 58-9 23.14. 15-17 12-17 63-00 13.89 1.79 6.95 1.50 25 35-5 1.53 52 87. 2.11-14 13-50 57-64 7.08 0.25 7-6 17. 16.26.37-3 36. 28. 12-74 5-68 67-06 13.40 1.56 7.39 1.37 16 35-7 1.82 52 86. 7.31-53 31-28 60-25 6.06 0.38 7-4 22. 20. 35. 51-6 99. 1.10-63 9-17 61-46 7.23 0.97 7.02 0.09 23 37-0 2.79 36 85. 4.34-15 33-18 60-97 4.82 1.30 14-3 Sep. 4. 6. 11. 8-1 258.21.40-56 35-33 65"23 4.49 3.09 0.26 0.53 08 39-3 0.61 12 95. 16. 47-41 48-37 59-04 15.93 1.01 39-8 5. 7. 14. 36-1 273. 16. 51-90 48-28 63-62 6.21 3.17 0.46 0.25 13 39-4 0.39 15 95. 6. 35-01 39-90 55-11 15.76 0.78 38-8 6. 8. 18. 0-0 288.22. 5-46 4-42 61-04 7.99 3.17 0.84 0.06 21 39-6 0.21 18 94.35.21-51 27-11 54-40 15.20 0. 56 37-0 7. 9.18.41-0 303. 31. 17-29 14-41 62-88 9.70 3.08 1.37 0.00 31 39-8 0.09 22 93. 44. 58-06 59-20 58-86 14.29 0.37 34-5 9. 11. 7. 30-5 333.35. 19-99 12-80 67-19 12.47 2.72 2.77 0.29 49 40-1 0.00 31 91. 22. 38-92 43-06 55-86 11.71 0.13 28-3 12. 13. 31. 17-4 16. 45. 43-87 44-38 59-49 14. 01 1.95 5.23 1.22 49 40-4 0.31 44 87. 30. 26-56 30-54 56-02 7.51 0.21 18-0 16. 16. 44. 19-7 69. 21. 50-56 42-3-2 68-24 11.03 1.15 7.53 1.27 13 40-9 1.32 53 84. 47. 25-42 16-54 68-88 4.57 0.86 9-0 18. 18. 27. 59-6 94. 11. 22-49 21-19 61-30 8. 19 0. 98 7.76 0.68 08 41-1 1.89 61 84. 54. 44-47 39-20 65-27 4.71 1.25 7-5 20. 20. 8. 6-6 118. 47. 18-40 18-53 59-87 5. 12 1.01 7.28 0. 16 18 41-2 2.39 46 85. 57. 29-61 28-32 61-29 5.87 1.59 8-1 Oct. 3. 6. 10.31-3 283. 32. 19-22 10-90 68-32 6. 89 3. 18 0.22 0.69 07 41-6 1.34 08 94.45.23-18 26-38 56-80 15.35 0.61 38-6 4. 7.10.47-6 298.19.44-06 38-74 65-32 8.66 3. 14 0.33 0.39 10 41-6 1.05 09 94. 2. 4-48 7-80 56-68 14.54 0.41 39-7 5. 8. 7. 8-1 313. 2.36-89 30-02 66-87 10. 31 3.03 0.63 0. 14 16 41-6 0.78 10 93. 3. 1-81 5-06 66-75 13.44 0.26 40-0 7. 9.48. 8'1 342. 4.60-72 48-74 71-98 12.85 2.63 1.68 0.02 36 41-5 0.34 16 90. 35. 40-85 41-22 59-63 10.74 0.10 38-3 9.11.20.14-2 10. 22. 24-00 18-57 65-43 13.98 2.11 3.17 0.42 51 41-4 0.06 23 88. 3.27-58 27-79 59-79 7.95 0.17 34-1 10. 12. 8. 9-8 24. 10. 32-67 34-53 58-14 13.95 1.85 4.00 0.75 54 41-4 0.01 28 86. 57. 33-53 31-10 62-43 6.76 0.28 31-3 11.12.55. 4-4 37.41.10-71 11-46 59-25 13.55 1.62 4. 82 1.07 52 41-3 0.01 32 86. 3.25-78 22-74 63-04 5.79 0.43 28-5 12. 13.43.44-8 50. 54. 53-41 49-62 63-79 12. 82 1.41 5.62 1.33 15 41-2 0.07 37 85. 23. 16-45 13-06 63-39 5. OS 0.61 25-2 14. 15.20. 14-9 76.34. 6-62 0-05 66-57 10.54 1.10 6.91 1.51 26 41-1 0.36 45 84. 48. 44-41 39-94 64-47 4.50 1.00 19-2 Nov. 2. 6. 55. 57-2 323. 6. 70-93 59-88 71-05 10.88 2.97 0.26 0.54 08 38-6 1.82 09 92. 6.29-11 30-01 58-5( 12.43 0.17 35-2 3. 7.44.45-7 337.20.72-92 59-34 73-58 12.20 2.77 0.44 0.26 13 38-4 1.54 08 90. 53. 35-28 35-57 59-71 11.06 0.11 37-3 4. 8. 30. 50-7 351.21.48-94 31-82 77-12 13. 18 2.54 0.81 0.07 20 38-2 1.26 08 89. 38. 38-08 39-06 59-02 9.66 0.10 38-9 6. 10. 0. 11-3 18.46.41-60 31-77 69-83 14.01 2.02 1.98 0.07 40 37-8 0.72 11 87. 20. 20-28 20-20 60-08 7.08 0.25 400 7. 10. 45. 50-5 32. 12. 8-38 0-50 67-88 13. 84 1.76 2. 71 0.27 48 37-6 0.49 13 86. 24. 28-58 27-08 61-50 6.05 0. 38 39-5 12. 15. 1. 40-9 96. 24. 44-79 39-40 65-39 8.55 0.99 6.58 1.51 32 364 0.02 34 85. 15.26-94 19-95 66-99 4. 88 1.32 30-2 13.15.52. 19-7 108. 43. 14-60 6-82 67-78 7.0-2 0. 97 7.12 1.46 21 36-2 0. 10 38 85. 44. 18-84 7'23 71-61 5.44 1.40 27-3 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 7.02 i. oo 4.00 0.76 30 20-8 1.42 30 60-00 s \ 'lO. 21 i.ob 23-7 [120] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. J? J5 *w III *"o.S Excess of Observed Longitude. .H.$" ."5 H f Change for flS'l 1 in Argument. Paral lactic Inequality. Variation. Change for Os-1 in Argument. _ cs * 2 C ~r. C ~ < ^ Evection. Change for Oe-1 in Argument, Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. \ I* Effect of Mean Inclinfltion. Change for 08-1 1 in Argument. la; fz Mb) 1783. " " "' ' Nov. 14. 16. 40. 34-5 O 1 II 120. 56. 32-78 ff 25-23 67-55 g - 5.49 0.99 \ \\ 7.51 g N 1.29 13 36-0 e v 0.23 42 o / " 86. 24. 37-76 u 30-88 66-88 g v 6.22 1 . (U 24-5 16. 18. 9. 44-4 145. 27. 42-06 32-20 69-86 2.72 1. 18 7.76 0.70 07 35-3 0.63 49 83. 13. 13-71 9-14 64-57 8.28 1.85 18-7 28. 3. 56. 18-5 303. 38. 16-00 1662 59-38 8.25 3.16 0.97 1.43 23 32-1 2.82 27 93. 18. 36-00 40-09 55-91 13.96 0.32 16-3 29. 4.51.56-1 318. 33. 5-55 5-98 59-57 9.94 3.06 0.55 1.27 15 31-9 2.76 23 92. 13. 25-48 26-65 58-83 12. 72 0.19 19-7 Dec. 1. 6.29.34-0 347. 11.49-43 41-57 67-86 12. 62 2.69 0.22 0.70 07 31-0 2.47 15 89. 46. 49-77 47-01 62-76 9.93 0.10 26-5 3. 7.58.22-6 14. 30. 17-71 6-12 71-59 13. 92 2.18 0.60 0. 16 16 30-4 2.02 10 87.29.41-77 38-25 63-52 7.33 0.22 :>2-7 4. 8.42.56-0 27. 47. 13-70 4-44 69-26 13.99 1.92 1.05 0.02 25 30-1 1.75 09 86. 33. 40-56 42-26 58-30 6.27 0.35 35-0 6. 10. 17. 17-7 53.48. 50-91 46-18 64-73 13.03 1.45 2.33 0. 15 44 29-5 1.19 08 85.19. 8-55 8-63 59-92 4.85 0.69 38-7 9, 12. 54. 36-9 91.46.21-09 19-10 61-99 9.48 1.03 4.76 1.05 52 28-3 0.43 14 85. 15.38-79 36-08 62-71 4.77 1.27 39-8 11.14.35. 7-5 1 16. 24. 4-63 2-53 62- 10 6.44 0.97 6.27 1.48 37 27-7 0. 11 21 86. 20. 61-48 59-69 61-79 6.00 1.01 380 12. 15. 21. 33-5 128. 35. 16-40 11-50 64-90 4.92 1.02 6.87 1.51 27 27-4 0.03 26 87. 9.34-96 33-59 61-37 6.91 1.73 36-4 18.19.36.35-7 204. 45. 20-03 8-36 71-67 0.06 2.11 7.12 0.11 21 25-1 0.69 49 93. 22. 50-09 51-81 58-28 13.99 1.67 JO-4 27. 3.34.59-3 327.22.15-15 13-06 62-09 10.53 3.01 1.29 1.46 28 22-1 2.70 40 91. 15. 10-68 15-39 55-20 11.76 0. 13 9-3 29. 5.11.41-2 356.26.16-13 14-97 61-16 12. 98 2.60 0.42 1.16 12 21-5 2.83 31 88.41.55-34 56-45 58-89 8.87 0.12 13-9 30. 5.56.41-9 10.16.51-64 48-16 63-48 13.68 2.34 0.25 0.87 08 21-1 2.81 26 87.33.27-71 29-75 57-96 7.57 0.20 16-8 1784. Jan. 3. 9. 3.51-3 62. 31. 12-24 6-95 65-29 12. 70 1.38 1.29 0.00 29 195 2.20 12 84.59. 17-63 18-16 59-47 4.58 0.84 28-7 5.10.47. 12-5 87. 33. 37-75 3594 61-81 10.35 1.09 2.66 0.26 48 18-8 1.68 08 85. 8. 13-13 14-02 59-11 4.69 1.23 34-1 6. 1 1. 38. 53-0 99. 55. 37-92 34-25 63-67 8.92 I. 01 3.46 0.55 53 18-5 1.39 08 85. 33. :*4- 11 38-64 55-47 5. 14 1.41 36-1 10. 14.45.27-4 148.50.55-81 59-49 56-32 3.02 1.15 6.54 1.51 32 16-8 0.38 15 88. 58. 43-01 37-06 65-95 8.88 1.88 40-0 25. 3. 2. 36-6 350. 1.5602 54-47 61-55 12.35 2.74 1.59 1.45 34 11-8 2.17 49 89. 4. 14-10 13-53 60-57 9.36 0. 11 7-6 28. 5.22.67-8 32. 17. 27-37 21-83 65-54 14.01 1.98 0.31 1.04 09 10-9 2.73 39 85. 51. 26-(iO 23-65 62-95 5.76 0. 44 9-3 29. 6. 10. 37-9 45.30.31-25 28-89 62-36 13.79 1.73 0.22 0.73 07 10-6 2.81 34 85. 14. 28-26 25-61 62-65 5.06 0.61 11-C 31. 7.50.548 71. 3.3902 39-35 59-67 12. 32 1.31 0.57 0. 17 15 10-0 2.80 25 84. 46. 52-25 54-26 57-99 4.50 1.00 15-( Feb. 1. 8.42.50-3 83. 31. 59-40 59-21 60-19 11.17 1. 16 1.01 0.02 24 9-5 2.71 21 84. 55. 55-59 50-05 65-54 4.63 1. 19 18v 2. 9. 34. 37-8 95. 52. 47-08 44-59 62-49 9.82 1.05 1.59 0.01 34 9-2 2.56 17 85. 18.53-14 50-94 62-20 5.02 1.38 21-! 3. 10. 25. 5-4 108. 8.44-11 40-83 63-28 8.34 0.99 2.28 0.14 44 8-9 2.37 14 85. 54. 41 95 40-42 61-53 5.65 1.54 24-( 4. 11. 13.20-1 120. 22. 18-64 10-01 68-63 6.80 0.97 3.06 0.39 51 8-6 2.14 11 86.41.47-21 39-67 67-54 6.49 1.68 27-< 6. 12.44.20-1 144. 51. 28-01 32-29 55-72 3.84 1.08 4.71 1.03 52 8-1 1.60 08 88.40.51-93 49-64 6->-29 8.64 1.87 32-! 8. 14. 6. 7-0 169. 36. 37-50 43-43 54-07 1.47 1.36 6 22 1.48 38 7-6 1.04 09 90. 56. 22-57 17-86 64-71 11. 10 1.89 36-( Sul 23-' Sub. 60-00 Sub. 1. 02 Sub. Sub. Sub. Sub. Sul). 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Si:b. 1.00 2.00 4.00 0. 76 30 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [121] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Lontritnde. .y ^ S 3 w g- d Change for OB- 1 1 in Argument. Parallactic Inequality. Variation. Change for O^-l 1 in Argument. = S < * Evection. Change for Os-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds ot Tabular Ecliptic! N.P. D. | _, jL . j!jj \ 1 ||| M JC Change for 0^1 in Argument. !* WW 1784. d h m s o t " ft " f " , V g % \\ ' O t ft " " S % > Feb. 10.15.28.11-3 195. 1. 7-59 6-74 (50-85 0. 16 1.79 7.31 1.41 18 6-8 0.54 13 93. 4.38-73 36-65 62-08 13.46 1.74 39-4 23. 2.25.349 11.51.15-61 16-31 59-30 13.55 2.40 1.98 1.41 39 4-0 1.41 53 87. 9. 13 : 71 10-23 03-48 7.18 0.24 12-2 Mar. 2. 9. 9. 8'9 116. 4.18-91 20-47 58-44 7.76 0.98 1.25 0.00 29 2-4 2.83 28 86.21.50-67 46-48 64-19 6.28 1.65 11-7 4. 10. 39. 44-3 140.31. 25-04 15-52 69-52 4.73 1.03 2.60 0.24 48 1-9 2.67 20 88. 16. 62-81 57-86 64-95 8.37 1.85 16-3 5.11.21.53-5 152.51.59-98 53-06 66-92 3.34 1.12 3.41 0.53 53 1-8 2.52 16 89. 23. 45-85 40-51 65-34 9.57 1.90 189 6. 12. 4. 56-7 165. 22. 12-04 11-11 60-93 2.11 1.25 4.24 0.86 54 1-7 2.31 13 90. 32. 65-30 56-59 68-71 10. 83 1.90 21-9 8.13.27.21-1 190. 55. 10-64 15-13 61-51 0.43 1.64 5.82 1.40 43 1-4 1.82 09 92. 45. 61-39 54-90 66-49 13.23 1.76 27-8 10. 14. 57. 40-7 217.26. 17-34 13-69 63-65 0.08 2.14 7.06 1.48 23 1-2 1.25 08 94. 28. 57-98 50-57 67-41 15.09 1.47 33-5 11. 15.48.29-7 231. 7. 16-6-2 15-27 61-35 0. 49 2.41 7.47 1.32 14 1-0 0.97 09 95. 0.37-60 39-93 57-67 15.66 1.27 359 13. 17. 43. 25-6 259.25. 3-57 1-42 62-15 2.46 2.88 7.77 0.75 07 0-8 0.48 13 95.11.29-23 31-04 58-19 15.84 0.84 39-3 27. 5.20. 7-0 86.31.48-84 49-61 59-23 11.46 1.19 0.33 1.05 10 o-o 1.78 52 85. 0.38-31 32-49 65-82 4.79 1.28 10-7 31. 8. 35. 12-0 135.46.41-94 44-83 57-11 5.65 0.99 0.97 0.03 24 o-o 2.67 41 87. 55. 52-38 49-13 63-25 8.05 1.83 7-5 April 3.10.40.16-3 173. 7.56-72 51-31 65-41 1.71 1.32 3.00 0.36 50 o-i 2.82 27 91. 15.67-38 52-20 65-18 11.74 1.87 10-4 6. 12. 53. 48-6 212. 48. 32-23 27-46 64-77 0.03 1.98 5.45 1.29 47 0-2 2.47 15 94. 10. 48-50 45-93 62-57 14.91 1.51 17-7 8. 14. 38. 58-4 240.44.41-69 32-40 69-29 0.76 2.51 6.79 1.51 28 0-3 2.01 10 95. 6.30-12 28-46 61-63 15.89 1. 10 24-2 12. 18. 40. 13-8 298. 57. 26-34 32-31 54-03 6.28 3.17 7.74 0.59 08 0-6 0.89 10 93.17. 5-64 7-16 58-48 13.77 0.29 36-4 25. 4.54.22-1 106. 16. 30-37 28-21 62-16 9.62 1.04 0.46 1.20 12 2-0 0. 99 52 86. 1.16-90 9-51 67-39 5.81 1.57 19-9 29. 7.54. 7-4 155. 16. 21-51 27-99 53-52 3.66 1.09 0.72 0.10 19 2-8 2.12 50 89. 48. 27-44 28-10 59-34 10.10 1.90 10-5 30. 8.34.52-5 167. 44. 34-23 37-32 56-91 2.39 1.22 1.21 0.00 28 2-9 2.35 47 90. 54. 52-88 51-45 61-43 11.35 1.88 9-0 May 1. 9. 15. 56'4 180.29.24-31 27-10 57-21 1.35 1.38 1. 83 0.05 38 3-1 2.55 44 91. 59. 48-45 49-53 58-92 12.56 1.82 7-9 2. 9.58.31-5 193. 35. 10-91 11-52 59-39 0.57 1.59 2.55 0.22 47 3-3 2.70 40 93. 0. 8-63 6-93 61-70 13.69 1.71 7-5 3. 10. 43. 53-2 207. 4.36-46 35-59 60-87 0. 12 1.82 3.35 0.50 53 3-4 2.79 35 93.52. 6-55 5-46 61-09 14.65 1.57 7-6 5. 12. 29. 45-0 235. 16. 48-54 41-93 66-61 0.36 2.34 5.00 1. 15 50 4-0 2.81 26 94.56. 1-81 3-76 58-05 15.83 1.17 9-8 6. 13.28.44-0 249. 52. 54-22 41-11 73-11 1.08 2.60 5.77 1.39 43 4-2 2.73 22 95. 1.37-70 35-85 61-85 15.92 0.94 12-0 7. 14. 31. 4-5 264.41.58-77 42-33 76-44 2. 1(5 2.83 6.45 1.51 33 4-4 2.60 18 94.47. 6-36 10-13 56-23 15.63 0.71 14-8 9. 16. 35. 7-4 294. 30. 29-75 18-98 70-77 5.21 3.14 7.47 1.33 15 4-8 2. 19 12 93. 22. 2-76 4-37 58-39 14.00 0.33 21-7 12. 19. 14. 32-4 338. 28. 11-72 15-93 55-79 10.35 3.03 7.65 0.45 10 5-6 1.37 08 89.48. 6-55 3-70 62-85 9.94 0.10 32-0 23. 3. 35. 46-5 113.35.26-88 30-96 55-92 9.07 1.01 1.09 1.45 25 8-3 0.17 41 86. 40. 57-63 57-20 60-43 6.41 1.67 33-1 24. 4.22.68-7 125.62.18-36 16-74 61-62 7.55 0.97 0.63 1.31 16 8-5 0.33 45 87. 33. 55-53 52-72 6281 7.41 1. 79 30-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60"00 7.02 2. 00 4.00 6.76 30 20-8 1.42 30 60-00 10. 21 i.oo 23-7 GREENWICH LUNAR REDUCTIONS. [122] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. jr .11 Sj Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os-1 in Argument. _, 3 | Evection. Change for 0--1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. IF Effect, of Mean Inclination. Change for Os-1 1 in Argument. |^ 1784. k May 25. 5. 7. 11-2 O 1 II 138. 2.42-19 n 39-24 n 62-95 g x 6.03 V \V 0.98 0.34 1.07 \\ 10 8-8 g x 0.54 48 o / // 88. 33. 14-48 n 9-72 II 64-76 v 8.54 1.86 \ 28-0 28. 7. 9.47-5 174.55. 3-38 4-74 58-64 1.97 1.27 0.53 0.20 14 9-9 1.34 53 91. 45. 10-73 13-75 56-98 12.18 1.85 19-4 June 1. 10. 13. 36-6 228.36. 0-01 7-55 52-46 0.12 2.18 2.94 0.34 50 11-0 2.41 46 94. 49. 56-71 59-28 57-43 15.71 1.25 9-6 2.11.11. 5-3 243. 12. 48-34 49-69 58-65 0.58 2.44 3.76 0.66 54 11-3 2.59 42 95. 0.45-90 51-66 54-24 15.93 1.02 8-1 3. 12. 15. 56-7 258.15.11-08 7-31 63-77 1.45 2.69 4.59 0.99 53 11-5 2.73 38 94.51.32-42 34-76 57-66 15.77 0.79 7-5 4. 13. 20. 45-4 273. 31. 34-78 27-65 67-23 2.67 2.91 5.40 1.28 47 12-1 2.81 34 94. 21. 31-90 32-39 59-51 15. 22 0. 56 7-6 7. 16. 20. 41-2 319.13.52-61 48-12 64-49 7.63 3.17 7.25 1.42 19 13-0 2.70 21 91. 14. 18-53 23"26 55-27 11.71 0. 13 12-9 July 2. 12. 3. 42-7 2.12. 6.17-9 281. 29. 38-49 281.31.11-30 31-66 8-40 66-83 62-90 3.20 3.20 2.98 2.98 4.18 4.18 0.82 0.82 54 54 21-4 21-4 2.25 2.25 48 48 93. 55. 23-45 93. 55. 16-08 28-60 23-03 54-85 53-05 14. 6!) 14. 69 0.44 0.44 11-2 11-2 4. 14. 9. 37-1 312.51. 8-61 7-09 61-52 6.54 3.18 5.77 1.38 43 22-1 2.64 41 91. 37. 37-60 41-81 55-79 12. 18 0. 15 7'8 5.15. 4.23-6 328. 16.28-15 29-74 58-41 8.30 3.16 6.45 1.51 34 22-7 2.76 37 90. 15. 55-19 62-15 53-04 10.67 0.10 7-4 6. 15. 55. 10-8 343. 22. 25-74 27-64 58-10 9.98 3.06 7.02 1.49 24 23-0 2.82 33 88. 54. 44-48 44-88 59-60 9.16 0. 12 7-9 10. 19. 5. 58-6 40. 3.37-02 33-37 63-65 13.93 2. 17 7.67 0.47 09 24-3 2.50 16 85. 10. 48-46 45-42 63-04 4.93 0.66 16-1 27. 7.36.43-8 243. 41. 35-58 32-31 63-27 0.43 2.38 0.90 0.05 22 29-8 0.43 46 95. 14. 8-80 10-19 58-61 15. 93 0.97 33-5 31. 11.48.53-3 304. 47. 50-03 43-58 66-45 5.43 3.15 3.70 0.64 54 31-2 1.51 53 92. 16. 33-52 37-78 55-74 12. 78 0.20 19-4 Aug. 2.13.43.38-1 336. 19. 49-88 49-40 60-48 8.95 3.13 5.34 1.27 48 31-7 2.07 50 89.27. 5-66 1323 52-43 9.72 0.10 12-8 3. 14. 34. 31-8 351.43.29-16 34-78 54-38 10.56 3.01 6.07 1.46 39 32-0 2.31 47 88. 4.37-90 42-95 54-95 8.21 0.16 10-2 6.17. 1.30-8 35. 25. 13-40 12-08 61-32 13.69 2.33 7.58 1.23 12 33-1 2.78 36 85. 12.57-54 54-12 63-42 5. 00 0.61 7-5 7. 17.52.12-1 49. 7. 18-37 17-76 60-61 14.00 2.07 7.75 0.94 08 33-3 2.83 31 84. 49. 31-78 25-52 66-26 4. 62 0.81 8-0 29.11.24.45-8 327. 59. 63-59 58-94 64-65 7.85 3.17 3.29 0.47 52 38-5 0.73 50 90. 13. 9-07 9-45 59-62 10.41 0. 10 '29-2 31.13.10.58-8 359. 15. 9-65 16-92 52-73 11. 11 2.94 4.94 1. 12 51 38-8 1.29 52 87. 26. 17-07 22-55 54-52 7.40 0.22 21-7 Sep. 2. 14. 51. 47-1 29. 15. 27-23 39-03 47-60 13.31 2.49 6.40 1.50 35 39-1 1.87 51 85.28. 11-72 12-24 59-48 5.28 0.55 15-0 3.15.43.35-9 43. 35. 19-49 26-67 52-82 13.86 2.23 6.98 1.49 24 39-3 2. 14 49 84. 56. 17-98 17-50 60-48 4.72 0.75 1-2-2 4.16.36.53-0 57. 26. 49-01 50-82 58-19 14.01 1.97 7.42 1.35 15 39-4 2.37 47 84.43.24-81 21-74 63-07 4.50 0.97 10-1 5. 17.31.13-4 70. 51. 26-91 31-00 55-91 13.78 1.72 7.69 1.10 09 39-7 2.57 43 84. 48. 29-63 19-82 69-81 4.61 1. 18 8-6 6. 18. 25. 36-9 83. 52. 27-25 32-48 54-77 13.18 1.50 7.78 0.79 07 39-8 2.71 39 85. 9.24-09 21-54 62-55 5.00 1.37 7-7 7.19.18.46-1 96. 33. 47-05 52-07 54-98 12.28 1.31 7.69 0.49 09 40-0 2.80 35 85.44. 14-63 12-80 61-83 5.65 1.54 7'4 19. 3.22.36-5 233. 52. 28-84 17-62 71-2-2 0.03 2.05 0.69 1.34 17 41-1 0.82 10 95. 11. 51"-'3 46-01 65-22 15.91 1.08 30-4 26. 10. 2. 49-7 335. 41. 62-55 55-43 67-12 8.52 3. 15 2.08 0. 10 42 41-5 0.06 37 89.29. 1-00 3-09 57-91 9.50 0. 11 38-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. .Sub. Sub. 60-00 7. 02 2. 00 4.00 0. 76 n 30 20-8 1.42 30 60-00 10.21 i.oo 23'7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [123] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .*." ! 5 " Change forOs-1 in Argument. Parallactic Inequality. Variation. Change for Os-1 1 in Argument. Annual Equation. Evection. Change for fle-1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. seconds of Tabular Ecliptic 1 N.P. D. i .2 3 0. s^Q -- 8?" 6* 1 8 Effect of Mean Inclination. Change for OS- 1 I in Argument. ! S^ w ^ ? 2 uw __ 1784. J " '" ' Sep. 29.11.44.24-7 28.11.46.41-5 Off/ 6. 30. 38-05 G. 31.47-05 r> 32-03 56-24 n 66-02 50-81 e 11.61 11.61 g ~~ 0.62 0.62 53 53 \ 41-6 41-6 * 0.34 0.34 45 45 o / /' 86.54. 1-62 86. 54. 17-01 // 15-31 9-08 // 46-31 67 '93 * ^ 6.68 6.68 ' " 0.29, ). 29 34-7 34-7 2.87 2.87 3.64 3.64 29. 12. 37. 35-6 21.42.49-42 53-44 55-98 12.77 2.65 4.47 0.96 53 41-6 0.55 4s 85. 55. 14-62 19-20 55-42 5.6-2 0.47 31-8 30. 13. 29. 52-7 36. 34. 42-01 46-69 55-32 13.56 2.40 5.29 1.25 48 41-6 0.80 50 85. 14. 26-50 26-85 59-65 4.90 0.67 28-3 Oct. 1.14.23.57-8 51. 2. 1-54 5-01 56-53 13.96 2.13 6.02 1.45 40 41-6 1.08 52 84.53. 6-27 7-24 59-03 4.54 ). 89 25-0 3. 1C. 15. 34-0 78. 33. 20-84 21-89 58-95 13.59 1. 63 7.22 1.44 20 41-6 1.66 52 85. 6.31-48 28-36 63-12 4.86 1.32 18-4 4.17.10.33-5 91.38.43-35 45-07 58-28 12.87 1.42 7.58 1.24 12 416 1.96 51 85. 36. 63-76 58-44 65-32 5.45 1.50 15-4 5.18. 3. 9-1 104. 21. 35-57 40-06 55-51 11.86 1.24 7.75 0.96 08 41-5 2.21 49 86. 19. 50-43 46-24 64-19 6. 2C 1.65 13-1 7. 19.38.39-7 129. 1. 0-55 3-17 57-38 9.22 1.02 7.58 0.36 12 41-4 2.61 42 88.11.21-15 20-70 60-45 8.37 1.85 9-4 8.20.21.53-9 141. 9. 15-21 12-91 62-30 7.72 0.98 7.22 0.15 19 41-4 2.74 38 89. 14. 64-61 58-97 6564 9.55 1.89 8-3 22. 7. 1.29-7 314. 38. 26-65 24-45 62-20 5.66 3.15 0.35 0.36 10 40-2 0.50 13 91. 12. 44-72 47-39 57-33 11.45 0.12 33-7 26.10.22. 6-6 14. 16.44-16 45-90 58-2G 12.09 2.79 2.44 0.19 46 39-6 0.00 29 86.21. 7-16 12-19 54-97 6. 00 0.39 40-0 27.11.13. 5-7 29. 9.37-61 38-17 59-44 13.11 2.56 3.23 0.45 52 39-5 0.02 33 85. 34. 42-46 44-18 58-28 5.15 0.59 39-7 28. 12. 8. 40-4 43. 51. 29-46 30-51 58-95 13.76 2.30 4.06 0.78 54 39-4 0.09 38 85. 6.32-28 32-90 59-38 4.64 0.80 38-6 Nov. 7.20.18.43-2 172.51.35-14 39-38 55-76 4.15 1.06 7.02 0.09 23 37-2 2.48 45 92. 12. 6-63 9-22 57-41 12.78 1.80 12-8 17. 4. 2. 14-2 295.41.33-56 24-50 69-06 3.05 2.96 0.72 1.35 18 35-0 2.04 10 92. 30. 23-88 31-69 52-19 13.08 0. 2'2 14-6 20. G. 39.24-2 339. 23. 66-48 57-76 68-72 8.09 3. 16 0.26 0.51 08 343 1.21 08 88.47. 4-76 8-20 56-56 8.85 0.13 24-7 21. 7. 27. 17-2 353. 57. 46-02 40-38 65-64 9.78 3.08 0.46 0.24 13 34-0 0.93 09 87. 35. 32-27 35-30 56-97 7.49 0.21 28-3 24. 9.54.45-7 37. 26. 25-92 28-08 57-84 13.40 2.46 2.03 0.09 41 33-0 0.26 17 85. 13. 23-81 28-59 55-22 4.77 0.73 36-7 27. 12. 43. 54-6 79. 32. 64-89 57-80 67-09 13.72 1.69 4.47 0.94 53 32-1 0.00 30 85. 27. 22-77 21-62 61-15 5.00 1.37 40-0 29. 14. 33. 56-7 106. 1.30-83 26-09 64-74 12. 13 1.28 6.02 1.44 40 31-3 0.12 39 86. 53. 10-79 8-66 62-13 6.60 1.70 3S-9 Dec. 3. 17. 34. 14-9 155. 32. 11-72 2-60 69-12 6.57 0.97 7.74 0.98 08 30-1 0.95 51 91. 1. 10-78 13-4-2 57-36 11.28 1.89 31-1 4. 18. 13. 46-0 167. 40. 10'6G 8-95 (61-71) 5.05 1.01 7.75 0.67 08 29-8 1.23 52 92. 2.31-95 45-03 (46 92) 12.44 1.83 28-5 5.18.53.13-3 179. 55. 19-33 15-59 63-74 3.63 1.09 7.61 0.38 11 29-5 1.52 53 92.59.10-12 12-42 57-70 13.52 1.73 25-8 6. 19. 33. 49-8 192.23.44-55 45-10 59-45 2.37 1.22 7.28 0.16 18 29-2 1.81 52 93.48. 3-15 8-22 54-93 14.45 1.60 22-7 19. G. 12.48-6 4. 7.26-26 20-92 65-34 10.38 3.02 0.23 0.68 07 24-8 1.97 10 86. 36. 30-06 31-03 59-03 6.52 0.31 15-4 20. 7. 0. 28-9 18.26.50-40 43-28 67-12 11.79 2. 85 0.34 0.38 10 24-4 1.70 08 85. 45. 52-77 54-34 58-43 5.56 0.48 18-7 21. 7.49.38-5 32. 36. 45-55 42-66 62-89 12.90 2.62 0.63 0. 14 17 24-1 1.42 08 85. 11. 28-86 29-16 59-70 4.89 0.68 21-9 22. 8.41. 7-ti 46.37. 5-12 4-87 60-25 13.64 2.36 1.09 0.01 26 23-8 1.13 08 84. 54. 46-01 47-65 58-36 4.54 0.89 25-5 Sub. eo'-'oo Sub. s \ 7.02 Sub. Sub. Sub. g \ 0.76 Sub. 30 Sub. 20-8 Sub. K \ 1.42 Sub 30 Sub. 60-00 Sub. 10.21 Sub. V \\ I. 00 Sub. J23-7 2. 00 4.00 [R]2 [124] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. 13 " Change for 0'l 1 in Argument. i Parallact.ic Inequality. Variation. Change for Os-1 1 in Argument. II C C Z Evection. Change for 08-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. IX ' U 5J. Hal O *-* Effect of Mean Inclination. Change for Os-1 in Argument. e . Jsk I* WW 1785. d h m o f ff ff ff e v \ vv X e * \\ ' f " O t II " It g v X Jan. 6. 20. 34. 21-0 239. 3. 15-25 968 65-57 0.05 1.92 6.49 0.06 32 18-1 1.59 52 95. 9.26-37 34-01 52-36 15.90 0.90 27-3 22. 10. 15. 18-4 96. 1. 9-03 4-87 64-16 13.26 1.52 2.03 0.08 41 12-4 1.34 08 86. 15. 45-56 46-84 58-72 6.08 1.62 21-7 23.11. 7.29-6 108. 48. 54-45 48-22 66-23 12.39 1.32 2.77 0.29 49 12-1 1.06 09 87. 10. 36-16 36-83 59-33 7.06 1.75 24-5 31. 16. 47. 25-7 207. 7.68-51 52-85 75-66 1.56 1.34 7.73 1.01 08 9-5 0.07 37 94.50.11-44 20-57 50-87 15. 42 1.37 39-9 Feb. 1. 17. 32. 34'8 219.49.30-18 15-52 74-66 0.72 1.54 7.76 0.70 07 9-2 0.18 41 95.11.31-78 38-33 53-45 15.81 1.18 39-9 12. 2. 49. 10-6 7.46.17-56 19-18 58-38 10.00 3.06 1.55 1.46 33 6-3 2.62 42 86. 8.44-67 46-58 58-09 6.05 0.38 1-2-8 13. 3.40. 4-4 22. 50. 43-36 40-08 63-28 11.47 2.89 0.97 1.43 23 6-1 2.75 38 85. 19. 59-94 62-67 57-27 5.17 0.58 10-4 16. 6.20.46-8 65. 31. 59-45 54-77 64-68 13.94 2.16 0.22 0.70 07 5-2 2.78 24 84.52. 2-43 4-97 57-46 4.68 1.23 7-4 17. 7. 16. 24-9 78. 56. 38-08 35-69 62-39 13.98 1.90 0.33 0.39 10 5-0 2.68 20 85.18. 38-54 40-57 57-97 5.17 1.42 7-8 18. 8.11.14-2 92. 0.37-64 36-77 60-87 13.65 1.65 0.60 0.15 16 4-8 2.53 16 85. 59. 17-85 20-55 57-30 5.91 1.59 8-9 19. 9. 3.53-4 104.47.11-12 9-70 61-42 12.97 1.44 1.05 0.02 25 4-6 2.33 13 86. 51. 8-76 11-53 57-23 6.85 1.73 10-2 20. 9. 53. 29-6 117.19.41-15 34-88 66-27 11.99 1.26 1.63 0.02 35 4-4 2.09 11 87.51.11-71 13-11 58-60 7.95 1.83 12-2 21. 10. 39. 48-2 129.41.24-20 18-17 66-03 10.77 1. 12 2.33 0. 16 45 4-2 1.83 09 88. 56. 25-14 26-65 58-49 9. 1-2 1.88 14-6 22.11.23. 8-1 141. 55. 30-52 31-58 58-94 9.38 1.03 3.12 0.42 51 3-8 1.55 08 90. 3.54-63 54-03 60-60 10.35 1.90 17-0 23.12. 4.10-3 154. 5. 15-42 12-11 63-31 7.89 0.98 3.94 0.74 54 3-6 1.27 08 91.10.46-96 41-39 65-57 11.56 1.88 19-7 23. 12. 6. 12-8 154. 6. 9-39 12-34 57-05 7.89 0.98 3.94 0.74 54 3-6 1.27 08 91. 10. 39-59 46-83 52-76 11.56 1.88 19-7 24. 12. 45. 46-0 166. 13. 59-69 63-24 56-45 6.36 0.98 4.76 1.06 52 3-4 0.99 09 92. 14. 8-42 7-15 61-27 12.70 1.81 22-4 28.15.29. 28 215.23.45-71 42 04 63-67 1.21 1.41 7.34 1.39 17 2-7 0. 15 20 95. 3. 38-03 44-68 53-35 15.74 1.23 33-5 Mar. 14. 3. 14. 27'7 45. 36. 48-04 48-51 59-53 13.02 2.58 1.25 1.46 28 0-8 2.28 48 84.48.56-14 50-90 65-24 4.51 0.94 18"2 19. 7.50.14-9 113.16.47-51 45-87 61-64 12. 63 1.37 0.44 0.26 12 0-3 2.82 27 87. 36. 26-23 21-24 64-99 7.70 1.81 7-9 22.10. 3.19-3 150. 4.42-20 40-17 62-03 8.83 1.00 1.98 0.07 40 0-2 2.48 15 90.51. 5-65 3-06 62-59 11.31 1.89 8-1 23. 10.43.14-4 162. 11.37-02 27-82 69-20 7.32 0.97 2.71 0.27 48 o-i 2.27 12 91.54. 18-14 13-73 64-41 12. 47 1.83 0-2 24. 11.22.26-1 174. 20. 13-60 9-44 64-16 5. 78 0.99 3.52 0.56 53 o-i 2.03 10 92. 52. 20-55 12-81 67-74 13.53 1.73 10-7 27. 13. 27. 40-0 211.25.14-62 13-13 61-49 1.80 1.30 5.87 1.42 42 o-o 1.20 08 94. 51. 3-48 5-19 58"29 15. 67 1.27 17-7 28.14. 13.40-6 224. 6.20-27 15-81 64-46 0.89 1.49 6.54 1.51 32 o-o 0.92 09 95. 5.24.03 27-81 57-12 15.91 1.07 20-4 29. 15. 3. 16-6 237. 0.30-08 25-97 64-11 0.28 1.71 7.09 1.47 22 o-o 0.67 11 95. 4.36-21 41-64 54-57 15.87 0.87 23-5 31. 16.52.37-3 263.36. 4-23 4-76 59-47 0. 17 2. 22 7.73 1.03 09 o-o 0.25 17 94.15. 3-85 15-32 48-53 14.90 0.49 29-7 April 2. 18.47.40-4 291.27.25-61 10-85 74-76 1.6-2 2.73 7.63 0.41 10 o-o 0.03 26 92. 25. 28-70 30-28 58-42 12.82 0. 20 35-4 5.21.29.34-9 335. 54. 50-90 37-32 73-58 6.13 3. 17 6.22 0.08 36 o-i 0.12 39 88. 33. 47-53 54-98 52-55 8.49 0. 14 39-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sib. Sub. 60-00 T. 02 2. 00 4. 00 0*76 30 20-8 K \ 1.4-2 30 60-00 10. 2i i.oo 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [125] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. hxcess of Observed Longitude. O -** 11 a J ' Change for 0="1 I in Argument. Parallactic Inequality. Variation. Change for 05-1 in Argument. i a 2 a - < o- W Erection. Change for Os- 1 in Argument. | Ecliptic N.P.D. of Hoon's Center from Observation. seconds or Tabular Ecliptic! N. P. D. a . D .e- Effect of Mean Inclination. Change for fle-1 1 in Argument. W W 785. d h m 3 ; pril 14. 4. 49. 59-9 O 1 II 95.23. 8-25 8-54 it 59-71 g \ 13.76 \ \\ 1.71 \ \\ 0.57 e * 1.28 15 0-7 e v 2.10 50 86. 30. 44-77 it 42-31 62-46 6.35 \\ 1.66 i 21-9 15. 5.43.32-2 108.30. 1-32 3-81 57-51 13. 16 1.49 0.31 1.02 09 0-8 2.34 47 87. 26. 31-37 32-76 58-61 7.41 1.78 18-9 16. 6. 33. 2-0 121. 12. 52-10 49-68 62-42 12.25 1.30 0.22 0.71 07 0-9 2.54 44 88. 28. 35-04 27-91 67-13 8.58 1.86 16-1 17. 7.18.41-6 133. 37. 29-70 27-76 61-94 11.08 1.15 0.31 0.41 10 1-0 2.69 40 89. 33. 20-40 18-43 61-97 9.80 .90 13-7 19. 8.41.41-5 157. 57. 44-96 39-49 65-47 8.26 0.99 1.01 0.02 25 1-3 2.83 31 91. 40. 57-23 56-53 60-70 12.21 1.84 9-8 21. 10. 0. 23-9 182. 16. 50-47 42-06 68-41 5.22 1.00 2.28 0. 15 44 1-5 2.74 22 93. 29. 43-25 40-89 62-36 14.25 1.64 7-8 25. 12. 59.44-6 26. 13. 52. 25-4 27.14.48. 6-2 232. 51. 31-16 246. 3.42-99 259. 29. 51-37 22-93 35-68 44-92 68-23 (67-31) 66-45 0.62 0.15 0.04 1.57 1.80 2.06 5.51 6.22 6.83 1.31 1.48 1.51 46 37 27 2-0 2-3 2-5 1.96 1.69 1.41 10 08 08 94. 59. 15-35 94. 44. 37-65 94. 14. 60-79 19-00 64-54 55-91 56-35 54-88 15.91 15. 63 15.05 0.91 0.71 0.52 9-7 11-7 13-9 30. 17. 37. 45-9 301. 8. 3-15 8-68 64-47 2.07 2. 82 7.76 0.88 07 2-9 0.60 12 91.23. 2-43 3-09 59-34 11.78 0.13 23-2 Way 3. 20. 11. 22-3 344.52.49-76 46-96 62-80 6.78 3.18 7.12 0. 11 21 3-6 0.08 22 87. 38. 31-31 27-80 63-51 7.52 0.21 33-3 13. 4.24.33-4 115.52.47-19 43-87 63-32 12.85 1.41 0.78 1.38 19 5-6 1.33 53 88. 16. 60-62 52-76 67-86 8.21 1.84 32-2 15. 5.56.52-2 141. 4. 30-97 33-53 63-41 10.60 1. 11 0.25 0. 88 08 6-1 1.91 51 90. 28. 26-07 22-72 63-35 10.70 1.90 26-8 18. 7.57.22-4 177.37. 6-55 5-76 60-79 6.16 0.98 0.78 0.08 19 6-8 2.58 43 93. 22. 46-12 44-55 61-57 14.01 1.67 18-2 20. 9. 18. 48-6 202. 19. 6-90 5-30 61-60 3.28 1.12 1.93 0.06 39 7-5 2.81 34 94. 37. 42-12 42-41 59-71 15.45 1.36 13-3 21.10. 3.10-1 215. 0.22-01 13-58 68-43 2.07 1.26 2.66 0.25 48 7-8 2.83 30 94. 56. 43-77 41-24 62 53 15.83 1. 17 11-2 22.10.51. 8-1 227. 58. 32-35 25-74 66-61 1.09 1.44 3.46 0.53 53 8-0 2.80 25 95. 0.60-47 56'9( 63-57 15.93 0.97 9-4 23.11.43. 6-7 241. 14.42-6!) 35-90 66-79 0.40 1.65 4.30 0.87 54 8-3 2.71 21 94. 49. 20-01 15-22 64-79 15.73 0.76 8-1 25.13.39. 2-1 268. 38. 33-2.3 21-15 72-10 0.10 2.16 5.87 1.41 42 8-8 2.38 14 93. 37. 14-04 15-20 58-84 14.41 0.39 75 29. 17. 18.45-1 325. 35. 46-49 47-79 58-70 4.03 3.06 7.72 1.04 09 10-1 1.32 08 88. 59. 56-68 56-44 60-24 9.21 0. 11 141 June 10. 3. 4. 1-J 123. 5.56-94 57-64 59-30 12. 50 1.34 1.59 1.45 34 13-6 0.37 45 89. 5.28-57 30-13 58-44 9.04 1.88 39-8 11. 3.50.23-7 135.49.49-98 45-60 64-38 11.39 1.18 1.05 1.44 24 14-2 0.59 48 90. 13.49-42 44-45 64-97 10.31 1.90 390 12. 4.33.22-2 148. 16.45-16 38-52 66-64 10.08 1.07 0.60 1.29 15 14-5 0. 81 51 91.19.62-37 57-89 64-48 11.55 1.88 37-9 13. 5.13.59-6 100. 32. 14-75 7-13 67-62 8.63 1.00 0.33 1.04 09 14-8 ' 1.11 52 92.21. 39-29 33-60 65-69 .12.71 1.81 363 14. 5.53.254 172.42.21-43 14-10 67-33 7. 11 0.97 0.22 0.74 07 15-1 1.40 53 93. 16. 17-12 17-72 59-40 13.75 1.71 34-1 15. 6.32.49-5 184.53.11-87 9-47 62-40 5.58 0.99 0.30 0.43 09 15-4 1.69 52 94. 2. 11-31 11-66 59-65 14. 6'- 1.57 31-8 17. 7. 56. 14-6 209. 41. 4-35 3-43 60-92 2.80 1.17 0.97 0.03 24 16-0 2.23 48 95. 0. 2-72 1-57 61-15 15.74 1.'23 26-3 19. 9.32.45-9 235. 36. 15-97 10-86 65-11 0.78 1.52 2.23 0.13 43 17-0 2.62 42 95. 1. 3-99 3-26 60-73 15.82 0.82 202 20.10.27. 17-0 249. 6.28-26 25-31 62 -9o 0. 23 1.74 3.00 0.37 51 17-3 2.75 38 94. 36. 57-37 59-16 58-21 15.41 0.62 17-0 Sub. Sub. Sub Sub. Sub. Xub Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 7.02 2.00 4.00 s \ 0. 7t \\ 30 20-8 g V 1.42 n 30 00-00 10. 21 i. oo 23-7 [126] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ^W Greenwich *, ..j bn +$ . Ecliptic i*-i a* ~= ,S *? Mean Solar Time of Longitude of c "a ^ ~- "84J X > ^ l| fl o e - s l tj -" d o ? a -~ 4* 1 __ a ^8.0 J ?! S N.P.D. of lie 5 tea *j| ** o i 1 1 12 Observation of Moon's Center from 8 :'3 " C c s^i wo VM tJ a 1 w g l& g< if a 8) SO !< c Is C 3 * i 1 8.11 0.16 9-3 14. 10. 55. 45-2 70. 29. 38-44 32 19 66-25 12.82 2.64 2.88 0.33 50 26-4 0.00 31 85.53. 2-60 5-20 57-40 5.56 1.52 31-1 20. 16.17.34-1 153.16.47-75 44-85 62-90 11.81 1.24 7.22 1. 44 19 24-4 1.00 52 92! 36. 52-30 57-00 55-30 12.96 1.79 39-9 1786. Jan. 3. 2.41.42-1 322. 16. 44-01 46-97 57-04 1.40 2.68 1.46 1.46 31 19-5 2.41 14 88. 14. 52-30 45-27 67-03 8.41 0.15 9-7 7. 5.57. 0-9 20.31.33-62 22-72 70-90 7.50 3.18 0.23 0.65 07 17-8 1.37 OS 84.51.21-30 16-27 65-03 4.64 0.80 8-3 10. 8.43.23-7 64. 32. 16-58 11-75 64-83 12.15 2.78 1. 13 0.01 27 16-8 0.57 12 85. 30. 50-45 51-13 59-32 5.31 1.46 14-8 12. 10. 43. 26-2 93. 20. 33-91 22-34 71-57 13.79 2.28 2.49 0.20 46 16-2 0.19 19 87.24. 9-41 6-93 62-48 7.34 1.78 21-2 13. 11. 40. 37-9 107. 22. 26-07 15-08 70-99 14.01 2. 02 3.29 0. 47 52 15-8 0.07 23 88. 35. 38-72 40-12 5S-60 8.63 1.87 24-5 17. 14. 52. 38-9 160.16.31-18 23-47 67-71 11.36 1.18 6.40 1.50 35 14-2 0.17 41 93.13.11-86 16-19 55-67 13.68 1.72 35-9 18.15.33.21-8 172. 46. 39-52 29-63 69-89 10.05 1.07 6.93 1.50 25 13-9 0.34 45 94. 3. 0-66 8-75 51-91 14.58 1.58 37-5 Feb. 3. 3.53.42-1 15. 54. 12-94 9-83 63-11 6.41 3.17 0.69 1.34 17 8-9 2.55 17 84. 57. 19-45 18-93 60-52 4.73 0.75 11-3 6. 6.37.52-5 60. 4.25-17 23'36 61-81 11.36 2.91 0.27 0.50 08 8-1 1.85 09 85. 18. 59-69 54-96 64-73 5.16 1.42 7-4 7. 7.36.45-6 74.23.21-30 18-37 62-93 12.58 2.69 0.48 0.23 13 7-6 1.57 08 86. 3. 26-41 24-75 61-66 5.98 1.60 7-7 9. 9.32.31-7 102. 16. 31-69 27-50 64-19 13.92 2. 18 1.41 0.00 32 7-1 1.01 09 88. 8. 59-63 60-96 58-67 8.29 1.85 10-1 10.10.26. 8-9 115.49.49-37 42-62 66-75 13.99 1.92 2.08 0.10 42 6-8 0.74 11 89.21.31-61 31-28 60-33 9.61 1.90 12-2 12.12. 2. 8-9 12. 12. 4.17-2 142. 10. 52-28 142.11.55-73 46-48 53-65 65-80 62-08 13.03 13.03 1.46 1.46 3.64 3.64 0.62 0.62 54 54 6-3 6-3 0.31 0.31 16 16 91.44.46-48 91.44.37-04 35-49 41-25 70-99 55-79 12. 21 12. 21 1.84 1.84 17-5 17-5 13. 12. 47. 34-4 155. 1. 17-79 18-04 59-75 12.08 1.28 4.47 0.95 53 6-1 0.15 20 92. 47. 55-25 55-39 59-86 13.36 1.75 20-4 14. 13. 28. 56-9 167. 38. 21-57 20-19 61-38 10.89 1.13 5.29 1.24 48 5-6 0.05 24 93.41.48-07 47-68 60-39 14.33 1.62 23-2 15.14. 9.24-0 180. 4.56-22 54-32 61-90 .9.52 1.04 6.02 1.44 40 5-4 0.00 29 94. 24. 14-72 16-98 57-74 15.09 1.47 26-3 17.15.31.27-1 204. 37. 45-62 33-53 72-09 6.50 0.97 7.19 1.45 20 5-0 0.08 38 95. 9.58-12 65-08 53-04 15.89 1.11 31-6 21.18.41.28-1 254.14.63-01 55-46 67-55 1.27 1.40 7.60 0.37 11 4-2 0.86 51 93. 53. 22-38 23-44 58-94 14.41 0.39 39-C 22. 19. 35. 29-5 267. 14. 42-22 34-39 67-83 0.52 1.61 7.25 0.15 18 3-8 1. 14 52 93. 0.35-64 29-41 66-23 13.42 0.25 39-S Mar. 5. 4.31.38-1 55.21. 3-99 0-45 63-54 10.47 3.01 0.53 1.25 14 1-9 2.77 23 85. 15. 63-87 58-93 64-94 5.01 1.37 15-1 7. 6.30.44-5 84. 15. 43-71 40-20 63-51 12. 96 2.60 0.23 0.66 07 1-7 2.49 16 86.50.47-16 45-87 61-29 6.83 1.72 io- r 9. 8.22.25-5 111.38.31-49 25-77 65-72 13.99 2.08 0.66 0.13 17 1-3 2.04 10 89. 4.47-51 46-68 60-83 9.34 1.89 7'i 10. 9.12.42-2 124. 50. 36-97 33-91 63-06 13.92 1.82 1.13 0.01 26 1-2 1.77 09 90. 15.46-92 47-18 59-74 10.66 1.90 7-' 12. 10. 42. 59-3 150.31.39-44 37-45 61-99 12.71 1.38 2.44 0.18 46 1-0 1.21 08 92. 27. 38-25 35-89 62-36 13.10 1.78 8-: 13.11.24.35-4 163. 5.51-59 56-36 55-23 11.65 1.22 3. 23 0.45 52 0-9 0.93 09 93. 22. 34-72 31-20 03-52 14.11 1.66 9-i Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. Sub. Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60*00 Sub. 10.21 Sub. 1. 00 So 2a 2.00 4.00 0.76 30 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [129] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. III g cc * c O Excess of Observed Longitude. Elliptic Inequality. Change for fls-1 in Argument. ! II Variation. Change for OS- 1 1 in Argument. || Evection. Change for OK-J 1 in Argument. Ecliptic N.P D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Excess of Ob- 1 served Ecliptic I N. P. D. Effect of Mean Inclination. Change forOs-1 I in Argument. I s - CJ J ETC WW J86. <">>> O t II " it e * \ v\ g x r * O ' If I g v \ u !lar. 16.13.28.39-9 200. 9.25-59 30-77 54-82 7.45 0.97 5.67 1.35 45 0-6 0.26 17 94. 58. 41-33 46-95 54-38 15.85 1.15 15-6 18. 14. 56. 13-8 224.37.21-47 19-95 61-52 4.44 1.04 6.91 1.50 25 0-4 0.03 25 94. 55. 40-21 48-26 51-95 15.75 0.77 20-9 19. 15. 43. 40-3 236.55. 5-85 5-11 60-74 3.07 1.14 7.37 1.37 16 0-3 0. 00 30 94.33.31-15 38-99 52-16 15.31 0.59 24-0 21.17.25.46-9 261. 57. 26-67 23-53 63-14 0.95 1.47 7.77 0.83 07 0-2 0.11 39 93. 11. 0-12 2-31 57-81 13. 72 0.29 29-7 24.20. 5.28-6 301.47.16-76 0-47 76-29 0. 14 2.20 7.02 0.09 23 o-i 0.67 49 89. 53. 46-35 50-42 55-93 10.00 0.10 37-0 | .pril 3. 4.21.31-6 79. 4.46-70 42-66 64-04 12.33 2.75 0.72 1.35 18 o-o 2.79 36 86.43. 4-29 2-98 61-31 6.53 1.69 25-5 9. 9.23.59-9 159. 7.45-64 43-88 61-78 12. 34 1. 32 1.37 0.01 31 0-3 2.23 12 93.12.51-12 46-61 64-51 13.92 1.68 9-4 10. 10. 4.29-5 171.30.53-71 64-56 49-15 11.20 1.16 2.03 0.09 41 0-4 1.98 10 93. 57. 50-07 47-99 62-08 14.77 1.54 8-3 11. 10.44.38-4 183.48.51-77 52-25 59-52 9.87 1.06 2.77 0.30 49 0-5 1.71 08 94.31.16-82 16-20 60-62 15.40 1.38 7-6 12.11.25.20-3 196. 3.34-22 39-87 54-35 8.40 0.99 3.58 0.69 53 0-5 1.43 08 94. 51. 59-96 60-40 59-56 15.80 1.19 7-4 13.12. 7.26-4 208. 17. 26-57 30-05 56-52 6.88 0.97 4.42 0.92 53 0-6 1.14 08 94. 59. 10-49 14-17 56-32 15.93 1.00 7-8 13.12. 9.32-1 208. 18. 24-96 32-3C 52-60 6.88 0.97 4.42 0.92 53 0-6 1.14 08 94.59.11-67 14-20 57-47 16.93 1.00 7-8 14. 12. 53. 44-4 220.33. 5-28 12-07 53-21 5.35 1.00 5.23 1.22 49 0-7 0.87 10 94. 52. 35-06 39-47 55-59 13.81 0.81 8-6 15.13.40.24-3 232. 50. 22-06 26-36 55-70 3.90 1.07 5.97 1.43 41 0-8 0.62 12 94. 32. 23-50 28-13 55-37 15.42 0.63 10-0 16. 14. 29. 32-1 245. 12. 12-04 15-96 56-08 2.59 1.19 6.63 1.52 31 0-9 0.40 16 93. 59. 13-68 19-87 63-81 14.80 0.46 11-7 17.15.20.40-3 257.41. 433 5-04 59-29 1.50 1.35 7.16 1.46 21 1-1 0.22 18 93. 14. 15-84 22-93 52-91 13.95 0.32 13-9 18. 16. 12. 56-2 270. 19. 48-47 53-72 54-75 0.67 1.55 7.53 1.27 13 1-2 0.09 22 92. 19. 6-38 12-56 53-82 12.90 0.21 16-3 22. 19. 37. 2-8 323. 54. 55-58 37-72 77-86 0.94 2.56 7.28 0.16 18 1-6 0.14 40 87. 46. 15-79 16-79 59-00 7.72 0.19 29-0 day 3. 5. 3. 5-9 115.47.24-41 16-33 68-08 13. 95 2.14 0.53 1.25 14 3-4 2.58 43 89.55.55-16 50-10 65-06 10.03 1.90 32-0 5. 6.39.47-6 142. 20. 70-12 58-45 71-67 13.61 1.64 0.23 0.68 07 3-8 2. 80 34 92. 12. 21-14 17-03 64-11 12.63 1.82 26-0 6. 7. 22. 48-6 155. 4.12-52 4-41 68-11 12.92 1.43 0.34 0.38 10 4-0 2.83 30 93. 9. 9-J 3 12-99 56-14 13. 72 1.71 22-9 7. 8. 3.49-8 167. 32. 30-94 23-11 67-83 11.93 1.25 0.63 0.14 17 4-2 2.80 25 93. 55. 49-62 52-97 56-65 14.61 1.57 20-2 9. 9. 24. 23-6 192. 4.64-76 57-06 67-70 9.32 1.02 1.68 0.02 36 4-6 2.58 17 94.53. 6-70 7-43 59-27 15.74 1.23 14-8 10. 10. 5. 56-6 204. 17. 34-53 26-11 68-42 7.83 0.98 2.38 0.17 45 4-8 2.39 14 95. 1.65-86 55-59 60-27 15.93 1.04 12-6 11. 10. 49. 25-8 216. 31. 35-68 31-09 64-59 6.29 0.98 3.17 0.42 51 5-2 2.17 11 94. 56. 54-20 53-97 60-2S 15.86 0.85 10-7 13. 12. 26. 12-5 241. 13. 54-71 52-69 62-02 3.38 1.11 4.82 1.07 52 5-6 1.64 08 94. 5.54-63 57-98 56-65 14.95 0.50 8-1 14. 13. 17. 3-1 253.44. 2-70 1-50 61-20 2.15 1.25 5.62 1.33 45 5-9 1.35 08 93. 21. 39-07 43-57 55-50 14.13 0.34 7-5 15. 14. 9. 14-0 266. 22. 13-30 13-31 59-99 1.14 1.43 6.31 1.49 36 6-1 1.07 09 92. 26. 54-67 60-74 53-93 13. 12 0.22 7-5 17.15.53. 7-0 292. 9.33-29 35-79 57-50 0.07 1.88 7.37 Sub. 1.38 17 6-6 0.56 12 90. 15. 35-29 39-34 55-95 10.67 0.10 9-1 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4. 00 6.76 30 20-8 1.42 30 60*00 10.21 i.oo 23-7 GREENWICH LUNAR REDUCTIONS [S] [130] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. it w f Change for 0?-1 1 in Argument. .S x tj " JS^5 !! Variation. Change for Os-1 1 in Argument. Annual Equation. Evection. Change for OK- 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. -= o --) '3 p. "o "o C Hi i* w 5. Effect of Mean Inclination. Change for Oe- 1 in Argument. Evertion in E. N. P. D. 1786. * * 1 II // g v V , e | " \ s % ' II " " g * \ \\ * May 19. 17.31.48-7 318.56. 3-47 5-89 57-58 0.49 2.40 7.77 0.85 07 7-3 0.18 19 87.55.41-13 43-24 57-89 8.05 0.17 13-1 31. 3.44. 0-0 123.26.48-48 45-55 62-93 14.01 2.04 1.25 1.46 28 10-4 1.68 52 90. 48. 43-75 48-20 55-55 10.95 1.89 39-7 June 1. 4.33. 17'4 137. 3. 17-11 14-16 62-95 13.88 1.79 0.75 1.36 18 10-7 1.96 51 91.59.29-50 33-81 55-69 12. 27 1.84 38-9 2. 5.18.32-7 150. 12. 18-40 13-80 64-60 13.39 1.56 0.40 1.14 11 11-0 2.21 49 93. 1.37-04 36-25 60-79 13.43 1.74 37-3 3. 6. 0. 59-2 162.59. 3-62 0-12 63-50 12.58 1.36 0.25 0.85 08 11-5 2.44 46 93. 52. 43-66 45-34 58-32 14.41 1.61 35-4 4. 6.41.52-4 175. 29. 25-10 15-87 69-23 11.50 1.20 0.26 0.53 08 11-8 2.62 42 94.31.38-66 36-23 62-43 15.15 1.45 33-3 9. 10. 19. 19-4 236. 54. 66-68 55-56 71-12 4.24 1.05 2.71 0.27 48 13-3 2.69 20 94. 20. 48-05 48-16 59-89 15. 10 0.53 19-4 10.11. 9.44-7 249.26.30-13 16-47 73-66 2. 89 1.16 3. 52 0.57 53 13-6 2.54 16 93.38. 3-61 3-18 60-43 14.34 0.38 16-8 11.12. 2. 1-9 11. 12. 4.20-3 262. 7.53-78 262. 8. 58-97 38-85 49-99 74-93 68-98 1.74 1.73 1.31 1.31 4.36 4. 36 0.90 0. 90 54 54 14-2 14-2 2.34 2.34 13 13 92. 43. 55-52 92. 43. 48-71 58-00 52-53 57-52 5618 13.36 13. 36 0. 25 0.25 14-1 14-1 14. 14. 40. 36-9 301.19.61-56 51-39 70-17 0.03 1.98 6.58 1.52 31 15-1 1.56 08 89. 18.31-43 38-51 52-92 9.61 0.10 8-5 15.15.29.43-0 314.48.29-02 21-10 67-92 0. 19 2.24 7.12 1.46 21 15-4 1.28 08 88. 7. 8-08 13-61 54-47 8.30 0.15 7-7 July 4. 6.41.58-2 207.36. 5-25 4-83 60-42 8.20 0.99 0.33 0.40 10 22-1 2.27 48 95. 15. 22 89 27-11 55-78 15.92 0.95 38-4 5. 7.26.11-3 219.50.58-91 62-31 56-60 6.66 0.97 0.60 0.16 16 22-4 2.48 45 95. 3.41-92 42-79 59-13 15.72 0.76 36-9 6. 8. 12. 56-7 232. 9.55-39 56-33 59-06 5. 14 1.01 1.05 0.02 25 22-7 2.65 41 94. 37. 57-06 60-00 57-06 15.27 0.58 35-0 7. 9. 2.24-9 244.37. 5-65 0-67 65-08 3.71 1.09 1.63 0.02 35 23-0 2.77 37 93. 58. 57-24 59-07 58-17 14.57 0.42 32-7 11.12.35.23-6 296. 39. 14-98 1-39 73-59 0.12 1.82 4.76 1.06 52 24-3 2.65 19 89. 42. 57-4-2 61-18 56-24 9. 94 0. 10 20-8 14.15. 2.28-9 338. 12. 38-42 21-88 76-54 1.06 2.60 6. 87 1.51 27 25-6 2.03 10 86. 17. 7'62 10-85 56-77 6.20 0.36 1-2-i 15. 15.49.48-8 352. 29. 34-28 18-60 75-68 2.13 2.83 7.34 1.39 17 25-9 1.77 09 85. 28. 28-39 30-44 57-95 5.32 0.54 10-C 16. 16. 37. 58-0 6. 57. 38-75 24-81 73-94 3.51 3.01 7.64 1.17 11 26-2 1.49 08 84. 56. 23-28 19-83 63-45 4.73 0.74 8'4 Aug. 2. 6. 5.52-2 227. 8.47-03 46-78 60-25 6.09 0.98 0.25 0.56 08 31-5 1.53 52 94. 49. 14-24 16-36 57-88 15.42 0.63 39'.' 6. 9. 30. 16-5 277.38. 9-43 9-07 60-36 1.03 1.45 1.93 0.06 40 32-8 2.53 44 91.26.45-88 36-67 69-21 11.68 0.13 38-( 7. 10. 23. 20-6 290. 56. 55-06 51-84 63-22 0.36 1.67 2.66 0.26 48 33-1 2.69 40 90. 14. 29-05 24-43 64-62 10.3? 0. 10 36-; 8. 11.15.16-9 304.36. 11-67 10-06 61-61 0.05 1.91 3.46 0.55 53 33-3 2.79 36 88. 59. 45-39 40-21 65-18 9.00 0. 1-2 :33-! 9. 12. 7. 59-0 318.36.58-40 55-82 62-58 0.12 2. 18 4.30 0.88 54 33-6 2.83 31 87. 46. 33-96 43-78 50-18 7.68 0. 19 31- 9. 12. 7. 59-0 318.36.57-88 55-82 62-06 0.12 2.18 4.30 0.88 54 33-6 2.83 31 87. 46. 35-55 43-78 51-77 7.68 0. 19 31- 10. 12. 57. 91 11. 13.45.43-9 332. 54. 48-19 347. 27. 53-61 45-00 43-07 63-19 70-54 0.58 1.43 2.44 2.69 5.11 5.87 1.19 1.41 50 42 33-8 34-3 2.82 2.74 26 22 86.40.42-13 85. 46. 24-29 43-11 25-90 59-02 58-39 6.49 5.51 0.32 0.49 24- 13. 15. 25. 1-5 17. 2.29-75 8-95 80-80 4.10 3.06 7.09 1.47 22 34-8 2. 44 15 84.49. 7-34 4-46 62-88 4.52 0.92 17' 30. 4.46.25-5 234. 25. 43-90 40-65 63-25 5.51 0.99 0.31 1.04 09 38-5 0.51 47 94. 22. 37-97 39-20 58-77 15. 00 0.51 31- Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. e \ 0.76 Sub. 30 Sub. 20-8 Sub. 1. 4-2 Sub. 30 Sub. 60-00 Sub. K \ 10. 21 Sub. i. oo Su 2! 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [131] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. U _*J .o-ii W * a Change for fls- 1 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 I in Argument. Annual Equation. Evection. Change for OS- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. i O ~ : {Fe ^ lit Zl Effect of Mean Inclination. Change for 0-1 1 in Argument. fa .2P- |z w w 786. 12. 10 0.15 37-6 1.34 0.57 4. 9. 3. 8-4 298. 10. 60-64 58-14 62-50 0.20 1.76 1.59 0.01 34 39-4 1.89 51 89. 29. 63-82 46-67 67-15 9.50 0.11 39-8 5. 9.54. 8-4 311.58.39-11 40-79 58-32 0.03 2.01 2.28 0.14 44 39-6 2.16 49 88. 17. 38-97 31-32 67-65 8. 15 0. 16 40-0 6. 10. 44. 11-7 326. 12. 54-97 59-41 55-56 0.24 2.28 3. 06 0.39 51 39-7 2.39 46 87. 9.35-27 28-53 66-74 6.90 0.27 39-5 9. 13. 17. 12-2 11. 7. 35-48 2469 70-79 3.16 2.97 5.51 1.31 46 40-1 2.81 34 85. 0. 33-85 33-36 60-49 4.57 0.85 33-5 11.15. 7. 0-3 41.44.23-16 13-29 69-87 6.46 3.17 6.83 1.51 27 40-4 2.80 25 85.13. 6-97 2-15 64-82 4.88 1.32 26-8 14. 18. 7. 17-8 86. 16. 55-56 45-68 69-88 11.42 2.90 7.76 0.88 07 40-7 2.38 14 87.48.41-04 31-73 69-31 7.87 1.82 16-1 15.19. 5.43-5 100. 30. 34-78 24-47 70-31 12.62 2.69 7.73 0.56 08 40-8 2. 15 11 89. 0.33-31 30-27 63-04 9.23 1.89 13-3 16. 20. 0. 40-6 114.25.12-04 0-46 71-58 13.47 2.43 7.49 0.29 13 40-9 1.89 09 90. 14. 24-97 24-79 60-18 10.63 1.90 11-0 30. 6. 0.49-0 279. 12. 62-08 55-72 66-36 1.24 1.41 0.25 0.58 08 41-6 0.36 45 90. 57. 32-07 31-05 61-02 11.24 0.11 26-3 3ct. 5. 10. 9. 52-5 348. 10. 49-31 46-16 63-15 1.18 2.63 2.60 0.24 48 41-5 1.68 52 85. 43. 43-17 51-06 52-11 5.32 0.54 38-8 10. 14. 55. 52-7 66. 3.21-10 22-10 59-00 8.89 3.13 6.54 1.51 33 41-4 2.75 38 86. 34. 39-06 34-17 64-89 6.31 1.66 35-2 12. 16. 59. 34-9 95. 55. 9-67 13-72 55-95 11.92 2.82 7.49 1.31 14 41-2 2.83 28 88.52. 3-71 191 61-80 8.92 1.88 29-2 13. 17. 56. 36-0 110. 9.28-80 28-55 60-25 12. 99 2.59 7.72 1.04 09 41-1 2.78 24 90. 6. 39-93 44-16 55-77 10.34 1.90 25-8 28. 4.44.36-4 287. 9. 4-09 4-29 59-80 0.92 1.48 0.33 1.05 10 39-4 0.00 29 89.59.30-13 33-24 56-89 10.31 0.10 13-3 29. 5.33.39-7 299. 56. 37-27 35-51 61-76 0.30 1.70 0.22 0.75 07 39-2 0.02 34 88.52. 4-29 2-06 62-23 9.03 0.12 15-9 Nov. 2. 8.45.35-2 355. 25. 34-63 24-83 69-80 1.56 2.72 1.55 0.01 34 38-6 0.64 49 85. 17. 23-9-2 26-28 57-64 4.93 0.66 28-7 5. 11.30.26-6 42. 10. 20-34 6-80 73-54 6.02 3.17 3.82 0.68 54 37-8 1.47 53 85. 26. 33-12 32-38 60-74 5.01 1.37 37-6 7. 13.40. 58-9 74. 2.35-13 29-97 65-16 9.53 3.09 5.45 1.30 47 37-4 2.04 50 87. 17. 52-25 47-17 65-08 7.05 1.76 40-0 12. 18. 20. 34-2 146. 17. 29-16 29-10 60-06 14.01 1.97 7.76 0.90 08 36-2 2.83 32 93. 18. 26-78 29-53 57-25 13.82 1.70 32-2 30. 7.23.59-6 3. 23. 25-38 16-72 08-66 1.98 2.80 0.72 0.10 19 31-3 0.03 35 84. 54. 16-38 32-78 43-60 4.64 0.80 15-4 Dec. 3.10. 9.55-9 49. 21. 67-93 57-92 70-01 6.68 3.18 2.60 0.23 47 30-4 0.47 47 85.43.15-67 12-15 63-52 5.42 1.49 26-3 11.17.43.31-9 167.31. 7-76 10-86 56-90 13.60 1.64 7.71 1.06 09 27-7 2.55 43 94. 40. 22-47 29-44 53-03 15.25 1.42 38-9 12. 18. 25. 42-4 180.19. 1-77 1-19 60-58 12.90 1.42 7.77 0.75 07 27-4 2.70 40 95. 5. 3-77 11-47 52-30 15.73 1.24 37-6 13. 19. 7. 33-8 192. 50. 34-65 38-59 56-06 11.91 1.25 7.65 0.45 10 26-7 2.79 35 95. 14. 38-42 43-10 55-32 15.93 1.04 35-9 114. 19. 50. 6-6 205. 11. 10-60 16-94 53-72 10.68 1.11 7.37 0.21 16 26-4 2.83 31 95. 9.24-81 28-73 56-08 15.85 0.85 33-7 15. 20. 34. 9-0 217.25.41-84 44-57 57-27 9.28 1.02 6.91 0.07 25 26-1 2.81 26 94.50. 4-12 9-78 54-34 15.52 0.67 31-3 25. 3.47.53-3 330. 50. 55-20 59-09 56-11 0.09 2.15 0.63 1.31 16 22-8 0. 84 10 86. 9.35-26 30-67 64-59 6. 11 0.38 8-8 26. 4.33. 7-9 . 344. 23. 35-45 38-56 56-89 0.50 2.41 0.34 1.07 10 22-5 0.59 12 85. 24. 53-28 50-26 63-02 5.29 0.54 7-8 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. : 60-00 7* 02 2. 00 4.00 e \ 0.76 30 20-8 f \ 1.42 \\ 30 60-00 10.2i i. oo 23-7 [SI 2 [132] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. a jf Change for OS- 1 in Argument. Parallactic Inequality. | 1 Change for 08-1 1 in Argument. IJ Evection. Change for Oe-l in Argument. Ecliptic N. P. D. of Moon's Center from Observation . Seconds of Tabular Ecliptic 1 N.P.D. C o. Effect of Mean Inclination, Change for 0"-1 in Argument. Evcction in E. N. P. D. 1786. **,?.' Q t If it it g * > ,v * g v \ g \\ O t ft tt " s < V \ Dec. 28. 6. 7. 5-1 12. 29. 20-83 22-09 58-74 2.46 2.88 0.29 0.46 09 21-8 0.21 18 84. 42. 52-53 43-64 68-89 4.50 0.96 7'8 30. 7. 53. 37-8 42. 4. 4-43 0-48 63-95 5.58 3.15 0.94 0.04 23 20-8 0.01 27 85. 18. 52-51 48-54 63-97 5. 13 1.41 10-8 1787. Jan. 11.18.29.41-3 212. 49. 53-55 64-18 49-37 10.17 1.07 7.74 0.61 08 16-5 2.40 46 95. 1. 4-96 10-93 54-03 15.63 0.71 40-0 24. 4. 5. 4-3 8. 9.48-05 46-15 61-90 1.71 2.75 0.48 1.21 13 12-1 1.32 08 84. 46. 37-95 35-65 62-30 4.52 0.92 12-6 27. 6.43.30-9 51. 42. 43-92 44-27 59-65 6.26 3. 17 0.38 0.32 11 11-2 0.53 13 85.49.59-31 55-37 63-94 5.73 1.56 7-6 28. 7.43.27-5 66. 35. 29-34 28-35 60-99 8.03 3.17 0.72 0.10 18 10-9 0.33 16 86. 47. 33-47 32-67 60-80 6.80 1.72 7-5 30. 9.47.29-2 96. 34. 23-92 18-54 65-38 11.26 2.92 1.83 0.04 38 10-0 0.06 24 89.18. 4-45 4-05 60-40 9.56 1.90 9-4 31.10.47. 5-0 111.29.18-71 16-20 62-51 12. 50 2.71 2.55 0.22 47 9-7 0.00 28 90. 39. 50-86 49-37 61-49 11.05 1.89 11-7 Feb. 4. 14. 11. 3-4 168. 33. 22-70 28-17 54-53 13.73 1.69 5.77 1.39 43 8-6 0.38 45 94. 41. 54-65 58-21 56-44 15.43 1.37 24-0 22. 3.43.45-3 32.36. 9-98 6-18 63-80 3.55 3.01 0.66 1.33 17 4-0 2.07 10 85. 10. 35-36 3383 61-53 4.86 1.32 21-2 24. 5.37.43-2 62. 3. 7-45 7-76 59-69 6.94 3.18 0.23 0.78 07 36 1.53 08 86. 38. 38-36 36-45 61-91 6.55 1.69 14-6 26. 7.38.43-4 91.23.31-79 29-01 62-78 10.35 3.03 0.51 0.20 14 3-2 0.96 09 88.58.33-59 30-97 62-62 9.18 1.80 9-7 Mar. 2.11.14. 9'5 148.34. 18-23 20-69 57-54 13.98 2.10 2.94 0.34 50 2-4 0.13 21 93. 38. 43-2 1 47-44 55-77 14.41 1.61 8-2 4. 12. 47. 29-7 175. 52. 59-21 65-78 53-43 13.53 1.61 4.59 0.98 53 2-1 0.00 29 94. 50. 56-38 60-42 55-96 15.73 1.24 11-5 5. 13.31.41-3 189. 6.30-05 31-62 58-43 12. 79 1.40 5.40 1.27 48 1-9 0.02 34 95. 2.42-49 48-88 53-61 15.93 1.04 13-7 6.14.16. 5-1 202. 2.50-36 48-37 61-99 11.76 1.23 6. 12 1.46 39 1-8 0.10 38 94. 58. 35-57 40-60 54-97 15.83 0.83 16-3 7. 15. 1.21-1 214.43.22-84 19-88 62-96 10.51 1.10 6.75 1.52 29 1-7 0.24 43 94. 39. 40-62 46-02 54-60 15.46 0.64 19-2 8. 15.47.55-5 227. 10. 52-81 48-61 64-20 9.09 1.01 7.22 1.43 19 16 0.43 46 94. 7. 38'95 44-05 54-90 14.84 0. 47 22-2 ' 10. 17.25. 13-0 251.42.59-13 55-94 63-19 6.04 0.98 7.75 0.94 08 1-2 0.92 51 92. 31. 58-45 59-43 59-02 13.02 0.22 27-8 11.18.15.15-7 263. 57. 44-62 39-21 65-41 4.53 1.04 7.74 0.63 08 1-1 1.2(1 52 91.32.27-03 24-97 62-06 11.89 0.14 30-0 23. 3.31. 8-0 57. 14.48-85 42-40 66-45 5.84 3.16 0.87 1.41 21 0-2 2.63 19 86.33.37-18 32-12 65-06 6.30 1.66 30-6 24. 4. 32. 14-7 72. 14. 32-69 36-90 55-79 7.62 3.17 0.48 1.22 13 0-1 2.46 15 87. 37. 41-99 39-20 62-79 7. 52 1.79 27-0 27. 7.28.46-9 115. 53. 0-83 2-37 58-46 12.24 2.77 0.37 0.33 11 o-o 1.73 08 91.21.55-54 40-82 74-72 11.77 1.87 16-8 30. 9.56. 56 157. 20. 32-25 34-83 57-42 14.01 2.00 1.78 0. 04 38 o-o 89 10 94.13.37-71 18-94 78-77 15. 03 1.48 9-6 31. 10. 40. 38-7 170. 43. 39-42 47-22 52-20 13.83 1.75 2.49 0.21 46 o-o 0.63 12 94. 43. 47-99 44-03 63-96 15.61 1. 20 8-2 April 8. 16.57. 30-6 271.19.38-76 34-59 64-17 4.00 1.07 7.69 1. 10 09 0-2 0.28 44 90. 38. 32-50 19-75 72-75 11.03 0.11 17, 9. 17. 46. 42-5 283. 38. 44-28 37-78 66-50 2.67 1.18 7.78 0.80 07 0-3 0.48 47 89.33. 11-58 1-53 70-05 9. 80 0.10 1^ 25. 7. 7.55-7 139. 37. 32-67 28-71 63-06 13.49 2.43 0.28 0.48 09 2-0 2.40 14 93. 25. 31-35 29-04 62-31 13.97 1.68 2** u >*+ s y co Effect of Mean Inclination. ChimgcforOS-1 1 in Argument. F.vprtion in E. N. P. D. 1787. d '' m July 26. 9. 26. 58'2 1 II 206. 47. 44-67 ti 31-15 // 73-52 s " 6.19 \ \\ 0.98 \ \\ 1.68 g x 0.03 \\ 36 \ 29-2 K ^ 2.82 \\ 27 o ' '/ 90. 45. 30-09 it 24-03 ff 66-06 g * 10.91 0.11 38-9 27. 10. 16. 25-4 279. 5.27-73 8-41 79-32 4.69 1.03 2.38 0.18 45 29-8 2.75 22 89.38. 8-44 1-67 66-77 9.67 0.10 37-6 ' 31. 13. 24. 38-1 329. 52. 38-52 22-81 75-71 0.41 1.65 5.62 1.35 45 30-9 1.99 10 85. 44. 21-25 33-28 47-97 5.45 0.60 28-3 i Aug. 1. 14. 9. 0-4 343. 5.5472 36-83 77-89 0.06 1.89 6.31 1.49 36 31-2 1.72 09 85. 10. 30-55 39-14 57-41 4.85 0.69 25-2 2. 14. 53. 51-6 356. 33. 43-92 23-44 80-48 0.09 2.15 6.91 1.50 26 31-5 1.43 08 84.51.55-92 58-88 57-04 4.54 0.89 21-9 3. 15. 40. 10-5 10. 16. 37-13 2392 73-21 0.52 2.42 7.37 1.38 17 32-0 1.15 08 84. 50. 22-95 23-84 59-11 4.54 1. 11 18-7 4. 16. 28. 59-8 24. 15. 34-39 20-50 73-89 1.33 2.67 7.65 1. 14 10 32-3 0.88 10 85. 6. 68-69 57-55 71-14 4.87 1.32 15-6 5.17.21.11-2 38. 30. 45-28 46-34 58-94 2.51 2.89 7.77 0.84 07 32-5 0.63 12 85. 41. 50-36 43-92 66-44 5.54 1.52 12-8 6. 18. 17. 17-1 53. 2.46-20 53-61 52-59 3.97 3.05 7.71 0.52 09 32-8 0.41 15 86. 33. 61-83 35-42 86-41 6.52 1.69 10-5 7. 19. 16. 59-7 67. 50. 59-48 53-88 65-60 5.65 3. 15 7.47 0.26 14 33-1 0.23 18 87.40. 15-04 0-95 74-09 7.77 1.81 8-8 20. 5.41.29-2 237.37.20-19 13-78 66-41 10.12 1.07 0.24 0.84 07 36-4 1.88 51 93. 2.10-18 1-88 68-30 13.49 0.26 32-2 21. 6.30.39-4 249. 53. 62-59 58-97 63-62 8.67 1.00 0.26 0.53 08 36-6 2.14 49 92. 4.62-19 52-95 69-24 12.41 0.17 34-5 23. 8. 9.49-6 274. 21. 23-05 14-18 68-87 5.61 0.99 0.84 0.06 21 37-0 2.57 43 89. 56. 63-24 53-21 70-03 10.01 0.10 38-1 26. 10. 32. 52-8 311.59.45-35 33-48 71-87 1.67 1.32 2.77 0.29 49 37-6 2.83 30 86. 50. 27-07 21-31 65-76 6.54 0.31 40-0 28. 12. 3. 37-8 28. 12. 5. 45-2 338. 20. 63-56 338. 21. 68-05 47-90 57-66 75-66 70-39 0.23 0.23 1.74 1.74 4.42 4.42 0.92 0.92 53 53 38-2 38-2 2.72 2.72 21 21 85. 24. 37-62 85. 24. 34-41 35-06 32-40 62-56 62-01 4.97 4. 97 0. 64 0. 64 38-4 38-3 30. 13. 37. 51-5 5. 49. 76-28 54-46 81-82 0.21 2.25 5.97 1.43 41 38-5 2.40 14 84.57. 8-92 5-83 63-09 4.51 1.06 34-5 Sep. 3. 17. 11. 0-7 63. 14. 67-67 43-81 73-86 4.59 3.10 7.74 1.00 08 39-3 1.30 08 87. 30. 52-35 41-24 71-11 7.49 1.79 21-4 18. 5. 12.26-4 257. 8. 60-87 50-50 70-37 8.11 0.98 0.30 1.00 09 41-0 1.08 52 91.13.48-52 33-72 74-80 11.58 0.12 21-7 19. 6. 1.56-6 269. 21. 30-85 23-09 67-16 6.56 0.97 0.22 0.69 07 41-1 1.37 53 90. 9.34-57 28-16 66-41 10.37 0.10 24-5 21. 7.38.31-9 293.57. 5-93 4-56 61-37 3.62 1.09 0.60 0.15 16 41-3 1.94 51 88. 2.34-40 11-20 83-20 7.95 0. 17 30-2 22. 8.25.11-6 306.31.36-75 31-70 65-05 2.35 1.22 1.05 0.02 25 41-3 2.20 49 87. 4.27-50 16-82 70-68 6.86 0.27 32-7 23. 9. 10.58-1 319. 23. 40-07 32-46 67-61 1.31 1.39 1.63 0.02 35 41-4 2.43 46 86. 14. 7-31 1-76 65-56 5.91 0.41 35-0 24. 9.56.20-7 332. 36. 30-69 29-82 60-87 0.54 1.60 2.33 0.16 45 41-4 2.61 42 85. 34. 39-32 30-67 68-65 5.16 0.58 37-2 25. 10. 42. 2-6 346. 12. 9-52 5-23 64-29 0.11 1.83 3.12 0.42 51 41-5 2.74 38 85. 8.52-83 47-52 65-31 4.67 0.78 38") 26.11.28.54-0 0. 10. 12-81 1-12 71-69 0.05 2.09 3.94 0.74 54 41-5 2.82 34 84. 59. 34-25 34-20 60-05 4.50 1.00 39-1 27.12.20. 2-5 14.29.28-96 15-90 73-06 0.38 2.35 4.76 1.06 52 41-5 2.83 29 85. 8.45-96 43-73 62-23 4.67 1.22 40'C 28.13. 11.51-7 29. 3.29-26 17-76 71-50 1.10 2.61 5.56 1.33 46 41-6 2.79 24 85.36.67-16 48-79 78-37 5.2.0 1.43 39-f 29. 14. 7. 0-2 43. 48. 30-17 17-15 73-02 2.20 2.84 6.27 1.49 36 41-6 2.09 20 86. 22. 47-77 43-47 64-30 6.06 1.62 38-E Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub 60-00 e \ 7.02 2. 00 \ v\ 4.00 0. 76 30 20-8 g V 1.42 30 6o"'00 10.21 X \\ 1.00 23" 1 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [135] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .0 ji- ff Change (orO=-l 1 in Argument. Parallactic Inequality. Variation. Change for 0?'l 1 in Argument. Annual Equation. o I u.S Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P.D. C c, . Effect of Mean Inclination. Change for 0--1 I in Argument. U 7 V ' W W 1787. " " '" * O 1 If * - V s * g * O / II u K ' X ' Sep. 30. 15. 5. 17-8 58. 38. 59-70 48-90 70-80 3.60 3.02 6.87 1.51 26 41-6 2.54 17 87. 23. 48-04 40-26 67-78 7.21 1.77 36-4 Dot. 4. 19. 2. 7-4 117.31.31-19 23-87 67-32 10.41 3.02 7.71 0.53 09 41-6 1.56 08 92. 21. 53-74 54-10 59-64 12.86 1.80 24-0 16. 3. 54. 11-0 264. 23. 66-10 54-82 (71-28) 7.52 0.97 0.75 1.37 19 41-0 0.22 42 90. 20. 21-21 27-99 (53-22) 10.72 0.10 10-1 19. 6.17.15-0 301. 6.12-21 7-00 65-21 3. 12 1.14 0.26 0.55 08 40-7 0.88 51 87. 13. 26-92 23-21 63-71 7.19 0.24 16-5 21. 7. 47. 17-3 326. 29. 41-24 3224 69-00 0.98 1.46 0.81 0.07 20 40-4 1.45 53 85. 39. 24-66 18-84 65-82 5.40 0.52 22-2 22. 8.32. 8-9 339. 44. 29-20 22-06 67-14 0.34 1.68 1.33 0.00 30 40-3 1.74 52 85. 9.44-34 38-43 65-91 4.82 0.70 25-5 23. 9.18. 3-2 353. 26. 17-68 11-46 66-22 0.04 1.93 1.98 0.07 40 40-2 2.01 50 84. 55. 21-79 20-43 61-36 4.52 0.91 28-7 24.10. 6. 1-2 7. 36. 18-29 8-25 70-04 0. 13 2.19 2.71 0.27 48 40-0 2.26 48 84. 58. 49-51 53-14 56-37 4.56 1. 14 31-8 28. 13. 54. 43-9 67. 46. 46-39 39-38 67-01 4.21 3.07 5.92 1.42 41 39-4 2.83 32 88. 17. 15-40 9-16 66-24 8.16 1.84 39-8 i-Nov. 1. 17. 52. 8-6 127.38.39-16 34-33 64-83 10.97 2.96 7.73 1.01 08 38-7 2.49 15 93. 20. 43-07 46-97 56-10 13. 82 1.70 35-6 2. 18. 42. 59-5 141. 55. 15-05 11-19 63-86 12.28 2.76 7.76 0.70 07 38-6 2.28 12 94. 12. 33-78 37-63 56-15 14.81 1.53 33-1 3. 19. 30. 58-0 155. 54. 56-28 49-24 67-04 13.24 2.52 7.63 0.40 11 38-4 2.03 10 94.48. 7-40 14-01 53-39 15.50 1.34 30-2 4. 20. 17. 5-3 169. 38. 42-94 43-15 59-79 13. 82 2.26 7.31 0.17 17 38-0 1.77 09 95. 6. 18-84 29-59 49-25 15.87 1.14 27-0 16. 4.56.25-4 308.32.48-21 34-33 73-88 2.64 1. 19 0.31 1.0-2 09 35-5 0.12 39 86. 29. 18-79 19-75 59-04 6.47 0.32 7-9 18. 6. 23. 52-7 333.46.33-11 16-09 77-02 0.70 1.54 0.31 0.41 10 35-0 0.45 46 85. 9.55-48 63-37 52-11 4.99 0.64 10-5 19. 7. 7.56-7 346. 54. 66-24 53-64 72-60 0.19 1.77 0.57 0.16 16 34-8 0.68 49 84.50. 7-95 7-20 60-75 4.59 0.83 12-6 20. 7. 53. 36-5 0.31.32-21 18-46 73-75 0.03 2. 0-2 1.01 0.02 25 34-3 0.95 51 84. 46. 33-73 34-20 59-53 4.50 1.05 15-2 22. 9.34.15-9 29. 17.45-61 33-64 71-97 0.89 2.55 2.28 0. 15 44 33-8 1.52 53 85. 35. 51-21 60-45 50-76 5.35 1.47 21-7 23.10.31. 6-1 44. 25. 49-55 29-32 80-23 1.90 2.78 3.06 0.40 51 33-5 1.81 52 86. 29. 46-62 47-33 59-29 6. 31 1.66 25-2 24. 11. 32. 22-0 59.56.22-15 3-97 78-18 3.23 2.98 3.88 0.72 54 33-2 2.08 50 87. 40. 19-42 12-55 66-87 7.57 1.80 29-0 26. 13. 43. 52-2 91. 25. 39-45 33-52 65-93 6.58 3.18 5.56 1.32 46 32-7 2.53 44 90. 28. 52-76 57-52 552 10.63 1.90 35-6 27. 14. 46. 12-5 106.59.24-64 33-08 (51-56) 8.35 3. 15 6.27 1.44 37 32-1 2.69 40 91.52.31-57 34-49 (57-08) 12.16 1.85 37-7 28. 15. 44. 29-2 122. 14. 8-17 18-03 50-14 10.03 3.06 6.87 1.51 27 31-9 2.79 36 93. 6.27-76 29-76 58-00 13.51 1.74 39-3 29. 16.38. 18-9 137. 4.32-42 44-43 47-99 11.51 2.89 7.34 1.39 17 31-6 2.83 31 94. 5.46-92 50-58 56-34 14.60 1.58 39-9 30. 17. 28. 18-7 151.29. 320 9-80 53-40 12. 68 2.67 7.64 1.16 10 31-3 2.81 26 94. 47. 38-32 46-41 51-91 15.38 1.39 39-8 Dec. 2. 19. 1. 10-6 179. 4.40-51 39-26 61-25 13.94 2. 10 7.72 0.55 08 30-7 2.61 18 95. 16. 18-39 22"25 56-14 15.93 0.96 37-6 3. 19. 46. 18-4 192.21. 1-22 1-45 59-77 13.98 1.90 7.49 0.28 13 30-4 2.44 15 95. 4.21-61 21-02 60-59 15.73 0.76 35-8 17. 5.46. 8-1 354. 42. 59-37 49-21 70-16 0.08 1.86 0.25 0.57 08 25-8 0.05 36 84. 41. 51-40 50-24 61-16 4.50 0.98 7-4 18. 6.31.32-3 8. 8.72-75 59-56 73-19 0.07 2.12 0.42 0.29 12 25-4 0. 15 40 84. 48. 43-55 41-31 6-2-22 4.62 1. 19 7-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. Ou \ U 4.00 e \ 0. 76 30 20-8 1.42 \\ 30 60* 00 ff \ 10.21 1.00 23-7 1787. Oct. 16. The Observed Z. D. has been decreased one revolution of the Micrometer. 1787. Nov. 27. The Observed Z. D. has been decreased one part. [136] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. x o fz 11 = o 1 UJ 1 Change forOS'l in Argument. Parallactic Inequality. Variation. Change for 0?-1 in Argument. Annual Equation. Evection. Change for OS- 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. n. i o'a. . vis ii* >S 3 K Effect of Mean Inclination. Si ii u.S -d I": u , j z . KB 1787. * ' k o / // n // * v \ N\ \ VI ' \\ i s O / /' // // e % v \x i Dec. 19. 7.20. T9 22. 3.6820 55-79 72-41 0.45 2.39 0.78 0.08 19 25-1 0.30 44 85. 13. 30-98 40-16 50-82 5.07 1.39 8-5 21. 9. 10. 17-9 51.28.59-19 45-64 73-65 2.36 2.86 1.93 0.06 39 24-1 0.75 50 86. 58. 35-27 44-94 50-33 6.97 1.74 12-4 22.10. 12.24-3 66. 55. 34-73 24-75 69-98 3.81 3.04 2.66 0.25 48 23-8 1.02 52 88. 14. 59-41 63-09 56-32 8.35 1.85 15-4 27.15. 19.21-3 145.20.21-93 27-76 54-17 11.98 2.81 6.58 1.51 32 22-1 2.39 46 94.33. 1-50 2-51 58-99 15.16 1.45 33-7 28.16. 9.35-5 160. 2.33-54 40'06 53-48 13.04 2.58 7. 12 1.47 22 21-5 2.58 43 95. 5. 9-23 11-51 57-72 15.73 1.24 36- 1788. Jan. 2.20. 3.33-7 226. 43. 50-42 50-46 59-96 12.63 1.37 7.34 0.19 17 19-8 2.71 21 93.21.41-15 33-65 67-50 13.78 0.30 39-4 12. 3. 1.28-8 337.33. 6-66 2-47 64-19 0.88 1.49 1.05 1.44 24 16-5 0.55 13 85. 1.61-78 57-79 63-99 4.75 0.74 18-7 14. 4.27.52-0 3. 22. 27-05 22-47 64-58 0.03 1.96 0.33 1.05 09 15-5 0.18 19 84. 48. 61-09 57-14 63-95 4.56 1.14 13-3 15. 5.13.42-9 16.44. 8-12 4-27 63-85 0.17 2.22 0.22 0.74 07 15-2 0.07 23 85. 6.59-42 55-93 63-49 4.92 1.34 11-0 16. 6. 2.45-8 30. 28. 52-67 45-29 67-38 0.70 2.48 0.30 0.43 09 14-9 0.01 28 85.41.60-25 57-27 62-98 5.58 1.53 9-2 22.12. 2.59-3 121. 29. 38-62 47-88 50-74 9.63 3.09 3.88 0.71 54 12-7 0.82 51 93. 2. 33-63 30-46 63-17 13.68 1.71 13-5 24. 13. 56. 16-4 152. 35. 37-31 43-65 53-66 12.42 2.73 6.61 1.31 46 12-1 1.40 53 94.46.15-10 13-46 61-64 15.54 1.33 20-4 25. 14. 46. 58-8 167.32.21-27 22-39 58-88 13.34 2.48 6.22 1.48 37 11-8 1.69 52 95. 7.35-47 33-52 61-95 15. 90 1.10 24-0 Feb. 11. 3.12.22-1 12. 37. 11-85 5-25 66-60 0.04 2.06 0.81 1.39 20 6-8 0.99 09 85. 10. 39-12 29-97 69-15 4.82 1.30 25-8 13. 4.50.31-4 39.63. 9-40 13-91 55-49 1.00 2.58 0.26 0.91 08 6-1 0.49 13 86. 26. 62-37 58-39 63-98 6.29 1.66 19-4 16. 7.43. 8-4 83. 9.25-39 17-63 67-76 5.O5 3.13 0.75 0.09 19 5-4 0.04 25 89. 55. 34-67 34-06 60-61 10.24 1.90 10-8 18. 9.44.35-1 113. 32. 32-16 42-12 50-04 8.56 3.15 1.88 0.06 39 5-0 0.02 34 92. 30. 37-45 37-89 59-56 13.15 1.77 7-7 19.10.42.28-1 128. 58. 56-35 59-49 56-86 10.22 3.04 2.60 0.24 48 4-8 0. 10 38 93. 35. 31-38 25-56 65-82 14.35 1.62 7-4 22. 13. 22. 44-2 174. 34. 26-38 32-49 53-89 13.58 2.39 5.11 1.17 50 4-0 0.64 49 95. 2.12-32 13-86 58-46 15.93 0.97 11-5 Mar. 11. 2.47.49-9 35.42. 2-96 2-38 60-58 0.54 2.42 1.09 1.44 25 1-1 1.76 09 86. 24. 52-76 51-22 61-54 6. 10 1.62 34-9 . 12. 3.41.15-3 49. 44. 28-00 35-71 52-29 1.36 2.67 0.63 1.31 16 1-0 1.48 08 87.22.36-34 33-46 62-88 7.19 1.76 32-0 19. 10.17.42-2 152.33.21-90 33-28 48-62 12.14 2.78 2.23 0. 13 43 0-3 0.03 26 94.46. 7-74 3-28 64-46 15.63 1.29 10-1 20.11. 8. 9-9 167. 22. 27-63 32-52 55-11 13.14 2.55 3.00 0.37 51 0-3 0.00 30 95. 0.24-85 20-07 64-78 15.92 1.06 8-4 23.13.39. 4-5 210. 11.19-40 17-41 61-99 13.86 1.77 5.45 1.29 47 o-i 0.27 43 93. 50. 40-36 42-38 57-98 14.65 0.43 8-1 25. 15. 20. 16-9 236. 49. 10-52 4-67 65-85 12.50 1.35 6.79 1.51 28 0-1 0.70 49 91.58.25-12 28-37 56-75 12.55 0. 18 11-0 26.16.11. 11-8 249. 35. 26-94 26-26 60-68 11.39 1.18 7.28 1.42 18 o-o 0.97 51 90. 53. 29-32 34-53 54-79 11. 33 0.12 13-1 30. 19.24.45-7 298. 48. 25-96 30-81 55-15 5.56 0.99 7.53 0.31 13 o-o 2.10 50 86.47.45-18 32-12 73-06 6.68 0.29 23-7 April 10. 3.30.56-9 73. 57. 29-08 31-21 (57-87) 3.08 2.96 0.84 1.39 20 0-4 2.21 12 89. 35. 26-72 61-47 (25-25) 9.60 1.90 38-6 11. 4.30.47-9 88.38.38-79 46-75 52-04 4.66 3. 10 0.46 1.20 12 0-5 1.95 10 90. 54. 34-99 34-08 60-91 11.08 1.89 36-; Sut Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 K \ 7.02 2.00 \ \\ 4.00 g 0. 76 w 30 20-8 f \ 1.42 \\ 30 60-00 10. 2*1 1,00 23' 1 ; SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [137] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Loneitude. Excess of Observed Loniritude. O >. If w g- a Change for OS- 1 in Argument. Parallactic Inequality. Variation. Change for 0-1 1 in Argument. Annual Equation. Evection. ChangeforOs-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. o;i . 1 1 | pl > s " > X t " \\ O f II a // I ' , > Sep. 13.10.39.44-7 333.38.33-11 21-50 71-61 3.72 1.09 2.83 0.32 49 40-6 2.70 21 85. 2.23-76 31-97 51-7! 4.55 0.87 37-5 14. 11. 22. 11-8 346. 12. 56-96 34-64 82-32 2.45 1.21 3.64 0.62 54 40-7 2.55 17 85. 0. 44-6S 50-88 53-8 4.51 1.07 38-9 16.12.51.39-4 11. 55. 62-K 39-07 83-03 0.60 1.58 5.29 1.24 48 40-9 2.13 11 85. 41. 54-88 60-31 54-57 5.28 1.45 40-0 19.15.19.11-7 52. 2. 77-64 58-60 79-04 0.34 2.33 7.19 1.45 20 41-2 1.31 08 88. 23. 46-92 43-21 63-7 8.31 1.85 37-3 21. 17. 11. 6-3 80. 1.14-87 5-48 69-39 2. 10 2.82 7.74 0.97 08 41-3 0.76 11 90. 50. 30-68 23-21 67-47 11.08 1.89 32-4 Oct. 7. 6.23.32-0 292. 0.21-26 10-87 70-39 9.14 1.02 0.23 0.66 07 41-5 2.00 51 86. 31. 57-79 54-01 63-78 6.42 0.33 15-0 8. 7. 8.50-9 304. 13. 31-3f 24-99 66-37 7.64 0.98 0.35 0.36 10 41-4 2.25 48 85. 48. 55-20 46-71 68-49 5.60 0.47 17-7 9. 7.52.35-5 316. 27. 37-05 27-37 69-68 6.10 0.98 0.66 0.13 17 41-4 2.47 45 85. 17. 16-24 6-90 69-34 4.99 0.64 20-4 10. 8.35.19-3 328. 47. 25-52 19-03 66-49 4.60 1.03 1.13 0.01 26 41-4 2.64 41 84. 58. 23-05 17-83 65-22 4.61 0.82 23-2 13.10.44.51-8 6. 58. 63-54 41-66 81-88 1.05 1.45 3.23 0.45 52 41-1 2.83 28 85. 29. 0-88 6-45 54-43 5.11 1.40 32-0 14.11.31. 6-7 20. 13. 40-28 22-28 78-00 0.38 1.66 4.06 0.77 54 41-0 2.78 24 86. 9.34-42 31-97 62-45 5.83 1.58 34-5 15.12.22.17-1 33.45.38-29 25-95 72-34 0.05 1.91 4.88 1.09 51 41-0 2.67 20 87. 3.45-06 44-70 60-36 6.82 1.72 36-7 17.14. 9.20-2 61. 31. 47-24 36-93 70-31 0.56 2.43 6.36 1.50 35 40-8 2.30 13 89. 22. 36-21 34-08 62-13 9.37 1.89 39-5 18.15. 6.28-3 75.43.50-61 40-59 70-02 1.40 2.68 6.95 1.50 25 40-6 2.06 10 90. 39. 24-90 26-27 58-63 10.80 1.90 40-0 19.16. 4.29-8 90. 5.69-08 57-73 71-35 2.60 2.90 7.39 1.37 16 40-5 1.79 09 91.54.54-61 51-86 62-75 12.20 1.84 39-7 21. 17. 57. 58-7 119.14.61-38 45-54 75-84 5.77 3.16 7.78 0.82 07 40-3 1.23 08 94. 1.21-66 13-34 68-32 14.57 1.58 36-9 Nov. 4. 5. 2.22-3 299. 10. 12-80 0-40 72-40 8.58 1.00 0.38 1.12 11 38-0 0.93 51 85. 54. 54-38 42-36 72-02 5.82 0.43 7-6 5. 5.46.42-5 311. 23. 55-42 43-74 71-68 7.05 0.97 0.24 0.83 07 37-8 1.21 52 85. 18. 38-17 27-77 70-40 5.15 0.59 8-3 6. 6.29.34-0 323. 37. 45-80 38-77 67-03 5.53 0.99 0.26 0.51 08 37-6 1.50 53 84. 54. 63-81 58-92 64-89 4.70 0.76 9-4 9. 8.37.11-2 1.14.42-92 32-53 70-39 1.62 1.33 1.37 0.00 31 37-0 2.31 48 85. 10. 33-04 31-46 61-58 4.93 1.34 15-6 10. 9.22.22-8 14. 20. 29-89 16-08 73-81 0.76 1.52 2.03 0.08 41 36-8 2.51 44 85.46.11-49 10-67 60-82 5.56 1.52 18-4 11. 10.10.21-0 27. 47. 47-75 37-78 69-97 0.22 1.75 2.77 0.30 49 36-4 2.67 40 86. 36. 36-37 38-51 57-86 6.47 1.68 21-7 13. 11. 56. 39-3 55. 48. 10-89 9-01 61-88 0.23 2.27 4.42 0.93 53 36-0 2.83 32 88.54. 2-04 3-60 58-44 8.95 1.88 28-3 13.11.59. 1-0 55. 49. 37-33 30-56 66-77 0.23 2.27 4.42 0.93 53 36-0 2.83 32 88. 54. 10-80 11-05 59-75 8.95 1.88 283 14. 12. 56. 57-2 70. 18. 26-88 24-52 62-36 0.83 2.53 5.23 1.23 49 35-7 2.82 27 90. 13. 47-50 48-37 59-13 10.39 1.90 31-6 17.15.53.28-1 114.43.24-50 16-93 67-57 4.71 3.11 7.19 1.45 21 35-0 2.45 15 93. 51. 31-58 34-97 56-61 14.36 1.62 38-7 22. 20. 10. 18-6 187. 43. 13-46 9-80 63-66 12.59 2.69 7.25 0.16 18 33-5 1.15 08 94.35. 6-58 5-34 61-24 15.18 . 56 36-3 Dec. 2. 3.40.50-4 306. 21. 65-30 46-47 78-83 8.00 0.98 0.94 1.42 22 30-7 0.14 40 85. 29. 14-54 10-49 64-05 5.32 9.54 11-3 8. 7.58.55-9 21. 18. 37-32 22-89 74-43 0.52 1.61 1.09 0.01 25 28-6 1.57 52 86. 9.38-45 39-56 58-89 6.10 1.63 8-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 80-00 7.02 \ U 2.00 4.00 6.76 \\ 30 20-8 f. 42 30 60-00 6.21 .00 23-7 f m 2 [140] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ~ Ecliptic Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. . S.g 125 ISf 50 -SJ Excess of Observed Longitude. tj, a. 2 s f Change for O?' in Argument. Parallactic Inequality. Variation. Change for OS in Argument. Annual Equation. Evection. 1 Change for 0^' in Argument. N.P. D. of Moon's Center from Observation. t Seconds of Tabular Eclip N. P.D. o'ji Effect of Mean Inclination. 1 Change for Os in Argument. . WW 1788. * k . " ' Dec. 9. 8.47.58-7 o ' " 34. 47. 44-04 27-71 ii 76-33 e v 0.10 \ u 1.84 \ \\ 1.68 g ' 0.02 36 28-3 1. 86 51 O ' II 87. 6.52-23 51-42 60-81 e v 7.14 \ \\ 1.76 10-1 10. 9.40.56-0 48.44.41-17 29-26 71-91 0.06 2.10 2.38 0.17 45 28-0 2. 13 49 88.16. 3-36 4-40 58-96 8.41 1.85 12-2 11.10.37.50-0 63. 9.60-64 50-68 69-90 0.41 2.37 3. 17 0.43 52 27-7 2.36 47 89. 34. 5-67 2-53 63-14 9.83 1.90 15-0 12.11.37.48-0 78. 0.49-90 45-20 64-70 1.16 2. 62 4.00 0.75 54 27-0 2.56 43 90. 55. 55-71 55-28 60-43 11.31 1.88 18-2 13. 12. 41. 34-3 93. 12. 49-82 45-05 64-77 2.28 2.85 4.82 1.08 52 26-7 2.71 39 92.15.41-89 41-15 60-74 12.75 1.81 21-7 17.16.28.21-6 154. 17. 33-50 38-34 (55-16) 8.87 3.13 7.37 1.38 16 25-4 2.72 21 95. 14. 12-91 51-37 (21-54) 15.93 1.04 35-4 18. 17. 18. 53-6 169. 2.57-21 53-41 63-80 10.49 3.01 7.65 1.14 10 25-1 2.58 17 95. 9.11-18 16-64 54-54 15.80 0.81 37-6 21. 19. 47. 21-5 211.21.57-48 48-49 68-99 13.67 2.35 7.47 0.26 14 23-8 1.92 09 93. 7. 8-92 9-03 59-89 13. 52 0.27 39-9 1789. Jan. 2. 4.25.31-8 350. 33. 55-16 36-64 78-52 3.06 1.14 0.40 1.14 11 19-8 0.06 37 84. 57. 12-81 9-14 63-67 4.68 1.23 15-4 4. 5.50.57-2 15. 33. 60-42 39-31 81-11 0.95 1.47 0.26 0.54 08 18-8 0.34 45 85. 55. 55-15 53-06 62-09 5.81 1.57 11-0 5. 6.37. 1-3 28.29.61-12 53-98 67-14 0.32 1.69 0.44 0.26 13 18-5 0.55 48 86. 45. 18-88 22-42 56-46 6.75 1.72 9-3 6. 7.26.34-1 41.51.32-10 10-92 81-18 0.04 1.94 0.81 0.07 20 18-1 0.79 50 87. 46. 50-47 49-69 60-78 7.90 1.82 8-1 8. 9.17.32-9 70. 5.69-64 51-12 78-52 0.65 2.47 1.98 0.07 40 17-5 1.36 53 90. 15. 53-04 53-21 59-83 10.66 1.90 7-6 9. 10. 17. 58-6 85. 1.44-08 35-86 68-22 1.54 2.71 2.71 0.28 49 17-1 1.65 52 91.35.14-17 13-55 60-62 12.13 1.85 8-5 15.16. 3.10-1 178.17. 8-70 3-91 64-79 11.05 2.95 7.16 1.46 21 14-9 2.82 34 94. 45. 44-09 48-41 56-28 15.48 0.65 26-8 31. 3.47.53-0 11. 0.29-14 16-64 72-50 1.50 1.35 0.55 1.27 15 9-7 0.05 24 85. 54. 37-91 25-39 72-52 5.62 1.54 26-0 Feb. 1. 4.32. 2-9 23. 35. 16-41 3-44 72-97 0.67 1.55 0.30 1.02 09 9-5 0.00 29 86. 39. 10-79 4-74 66-05 6.47 1.68 22-9 2. 5.18.48-6 36.26.17-18 4-30 72-88 0. 17 1.78 0.22 0.71 07 9-2 0.01 33 87. 34. 51-67 48-97 62-70 7.54 1.80 19-9 3. 6. 8. 50-7 49. 38. 65-88 46-92 78-96 0.03 2.04 0.33 0.40 10 8-9 0.08 38 88. 39. 48-88 48-11 60-77 8.77 1.87 17-0 4. 7. 2.28-1 63. 18. 53-32 30-83 82-49 0.29 2.30 0.60 0.16 16 8-4 0.21 42 89. 51. 31-23 27-89 63-34 10.12 1.90 14-1 5. 7.59.25-8 77. 29. 53-39 34-14 79-25 0.94 2.56 1.05 0.02 25 8-1 0.39 46 91. 6. 15-84 14-12 61-72 11.54 1.88 11-5 7. 9.59. 5-7 107. 29. 38-93 40-65 58-28 3.32 2.99 2.33 0.16 45 7-6 0.87 51 93.25. 7-74 3-84 63-90 14.15 1.65 8-1 8. 10. 58. 50-5 123. 10. 45-83 48-30 57-53 4.92 3. 12 3.12 0.42 61 7-3 1.15 52 94. 17. 10-77 7-52 63-25 15. 13 1.46 7-4 9.11.56.59-3 139. 6.57-63 57-78 59-85 6.67 3.18 3.94 0.74 54 7-1 1.45 53 94.50. 7-42 6-90 60-52 15.74 1.23 7-8 9.11.56.59-3 139. 6.57-16 57-78 59-38 6.67 3.18 3.94 0.74 54 7-1 1.45 53 94.50. 5-90 6-90 59-00 15.74 1.23 7-8 12. 14. 43. 22-3 186.19.43-93 37-46 66-47 11.56 2.88 6.27 1.49 36 6-1 2.27 48 94. 14. 25-90 28-60 57-30 15.04 0.52 13-7 Mar. 4. 5.49.34-8 71.57.23-37 12-17 71-20 0.49 2.40 0.25 0.56 08 2-1 0.03 25 90. 53. 37-21 32-84 64-37 11.14 1.89 27-0 8. 9.38.29-1 130.45.41-65 38-43 63-22 5.57 3.15 1.98 0.07 40 1-4 0.26 43 94.42.19-98 17-27 62-71 15.53 1.33 13-5 10. 11. 29. 46-3 162. 16. 12-44 14-85 57-59 9.07 3.12 3.52 0.56 53 1-2 0.68 49 94. 56. 15-00 7-80 67-20 15.85 0.85 8-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. II K \ % \ \\ a \ lv ^ j. x \\ i K \ \ \\ | 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [141] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. i Elliptic Inequality. Change for 08-1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. Annual Equation. Erection. Change for Oe- J 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. -s !P S 'tz. X - W * Effect of Mean Inclination. Change for OK- 1 1 in Argument. c . = .2 a. fz Httl 1789. d " m ' O t it ii s "~ \ \\ \ v\ e > v O ' '/ H * g * \ \ Mar. 11.12.26.3-2-6 178. 3.26-80 28-53 58-27 10.68 2.99 4.36 0. 90 54 1-1 0.95 51 94. 29. 22-23 12-86 69-37 15.37 0.61 7-7 12.13.20.49-4 193. 33. 54-28 58-98 (55-30) 12.04 2.80 5.17 1.20 49 1-0 1.23 52 93. 42. 28-24 44-61 (43-63) 14.51 0.41 7-4 13. 14. 15. 15 2 208.40. 7-90 3-53 64-37 13.07 2.57 5.92 1.42 42 0-9 1.52 53 92. 41. 26-86 33-56 53-30 13.38 0.25 8-1 April 1. 4.40. 18-9 81. 26. 10-56 9-13 61-43 0.75 2. 50 0.31 1.03 09 o-i 0.62 12 91. 55. 59-62 64-96 54-66 12.20 1.84 37-6 4. 7.27.28-4 124. 28. 50-67 43-98 66-69 4.51 3. 10 0.57 0. 16 16 0-1 0.09 22 94. 40. 31-86 31-58 60-28 15.33 1.40 29-7 5. 8.21.54-3 139.29.2395 18-59 65-36 6.23 3.17 1.01 0.02 25 0-1 0.02 27 95. 4.32-08 33-86 58-22 15. 82 1.18 26-3 6. 9.15.31-8 154. 44. 58-49 58-94 59-55 7.99 3. 17 1.59 0.01 35 0-1 0.01 31 95. 7.43-99 40-35 63-64 15.92 0.94 22-7 8.11. 2.15-4 185. 33. 53-60 44-43 09-17 11. 22 2.93 3.06 0.40 51 0-3 0. 15 40 94. 9. 11-94 2-39 69-55 14.92 0.49 15-4 10. 12. 53. 43-9 215.49.32-84 21-95 70-89 13. 37 2.47 4.71 1.05 52 0-4 0.51 47 92. 2. 2-48 6-42 56-06 12.63 0.18 10-1 12. 14. 44. 59-3 244. 32. 37-64 30-47 67-17 14.00 1.95 6.27 1.48 37 0-5 1.02 52 89.29. 6-20 11-71 54-58 9.82 0.10 7-6 14. 16. 32. 14-3 271. 26. 30-30 28-15 62-15 13. 1 1 1.48 7.34 1.40 17 0-8 1.61 52 87.11.29-95 39-98 49-97 7.27 0.23 7-9 17.18.55. 4-2 309. 12. 40-77 31-08 09-69 9.65 1. 04 7.72 0.56 08 1-1 2.39 46 85. 5.34-36 29-95 64-41 4.88 0.68 12-2 30. 4.27.56-1 105. 26. 23-20 22-75 60-45 2.14 2.83 0.42 1.18 12 2-9 1.34 08 93. 50. 42-87 45-59 57-28 14.32 1.63 40-0 May 4. 8. 0.21-0 164. 10. 31-70 39-31 52-45 8.65 3. 14 0.78 0.08 19 3-6 0.34 16 95. 4. 16-87 13-45 63-42 15.74 0.77 34-9 6. 9.44. 7-8 194. 2. 2-19 2-39 59-80 11.73 2.86 1.93 0.06 39 4-0 0.06 23 93. 41. 43-06 39-36 63-70 14.28 0.37 28-5 8. 11. 32. 15-5 223. 26. 16-00 13-16 62-84 13.61 2.38 3.46 0.54 53 4-6 0.01 32 91. 22. 20-49 15-55 64-94 11.78 0.13 21-4 9. 12. 30. 11-6 237. 46. 49-67 47-64 62-03 13.98 2.11 4.30 0.88 54 4-8 0.07 37 90. 3.46-79 49-07 57-72 10.36 0.10 18-2 10.13.25.46-1 251. 45. 34-58 34-01 60-57 13.95 1.85 5.11 1.19 50 5-0 0.19 41 88.47. 2-03 2-47 59-56 8.96 0.12 15-2 12. 15. 12. 24-4 278. 35. 55-37 55-71 59-66 12.80 1.40 6.54 1.51 32 5-4 0.57 48 86. 35. 26-99 31-61 55-38 6.56 0.31 10-4 18.19.39. 9-7 353. 16.53-10 58-78 54-32 4.57 1.03 7.34 0.19 17 7-0 2.21 49 85.12. 5-51 3-21 62-30 5.01 1.37 9-2 19. 20. 21. 37-4 5. 42. 28-44 30-41 58-03 3.19 1.13 6.87 0.07 26 7-3 2.44 46 85. 47. 22-63 16-74 65-89 5.65 1.54 10-7 29. 4.13. 4-4 130. 4.23-35 21-18 62-17 4. 14 3.07 0.60 1.29 15 9-9 2.09 11 95. 0.12-37 14-00 58-37 15.65 1.28 36-6 June 2. 7.38.37-8 188.55.59-25 64-03 55-22 10.88 2.97 0.55 0.18 15 11-3 0.99 09 94. 0.54-33 50-46 63-87 14.53 0.41 39-6 4. 9. 22. 58-8 217.44.38-77 36-82 61-95 13.18 2.54 1.55 0.01 34 11-8 0.49 13 91. 52. 22-22 11-94 70-28 12.18 0. 15 36-6 5. 10. 17. 2-9 231. 52. 44-50 53-52 50-98 13.80 2.28 2.28 0.14 44 12-1 0.29 17 90. 36. 36-43 31-21 65-22 10.80 0.10 34-3 7. 12. 6. 28-7 7.12. 8.46-4 259. 27. 25-36 259. 28. 38-89 32-63 47-25 52-73 51-64 13.84 13.84 1.76 1.76 3.88 3.88 0.70 0.70 54 54 12-7 12-7 0.04 0.04 24 24 88. 6.58-51 88. 6.54-57 03-60 57-22 54-91 57-35 8. 0!i 8.08 0.16 0. 16 28-5 28-5 10. 14.41.22-5 298. 46. 28-28 28-44 59-84 11.32 1.18 6.22 1.48 38 13-9 0.09 38 85. 26. 44-43 44-11 60-32 5.20 0.57 19-2 18. 20. 31. 25-4 38. 32. 44-57 50-08 54-49 0.74 1.53 6.63 0.05 30 16-7 2.02 50 88. 14. 18-66 9-24 69-42 8.39 1.85 7-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 g \ 7.02 \ \% 2.00 4.00 6.76 30 20-8 i \ 1.42 30 6o"-00 g \ 10.21 i. oo 23-7 - [142] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. S--H 11 *- J o *J Excess of Observed Longitude. X f .~ !! s ^ w c Change for O'"l in Argument. Parallactic Inequality. d ^o .Is 1 Change for Os-1 1 in Argument. Annual Equation. Evection. 1 Change for Os-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. CD .' Excess of Ob- T * served Ecliptic 8 N. P. D. Effect of Mean Inclination. Change for OS- 1 1 in Argument. N .26 !*: WW 1789. * * June 19.21.22.23-2 O I It 51.64.18-12 II 29-95 ii 48-17 * 0.20 X \* 1.76 \ \\ 5.97 s * 0.13 \\ 40 \ 17-0 s 2.27 48 ' 89. 25. 42-96 II 17-88 s v 9.71 1.90 i 8-5 26. 3. 0. 32-6 139. 46. 46-28 40-94 65-34 4.76 3.11 1.33 1.46 29 19-2 2.76 23 95. 7.41-22 15-28 85-94 15.89 1.11 25-2 30. 6. 27. 19-1 199. 3. 35-lfa 31-27 63-89 11.41 2.90 0.25 0.59 08 20-5 2.03 10 93. 14. 37'7fa 35-66 62-10 13.69 0.29 37-3 July 2. 8.11.48-3 227. 15. 17-51 19-67 57-94 13.46 2.44 0.75 0.09 19 21-4 1.47 08 90.57. 7-11 0-40 66-71 11. 12 0.11 39-8 3. 9. 5.21-3 240. 59. 40-46 46-24 54-22 13.93 2.17 1.25 0.00 29 21-8 1.19 08 89. 42. 61-50 52-66 68-84 9.75 0.10 40-0 o. 10. 52. 10-2 267. 48. 32-00 43-04 48-96 13.67 1.67 2.60 0.24 47 22-4 0.66 11 87. 25. 20-01 26-31 53-70 7.21 0.24 38-4 6.11.43.38-5 280. 53. 27-44 36-74 50-70 13.01 1.45 3.41 0.53 53 22-7 0.43 14 86.29. 3-32 14-22 49-10 6. 18 0.30 36-9 8. 13. 21. 50-6 306. 26. 27-25 36-96 50-29 10.83 1.13 5.05 1.17 50 23-3 0.11 21 85. 13. 50-15 52-44 57-71 4.82 0.70 32-7 9. 14. 6. 23-0 318. 55. 23-12 27-24 55-88 9.46 1.03 5.82 1.40 43 24-0 0.03 26 84.57. 6-23 9-30 56-93 4.54 0.89 29-9 16. 19. 11. 16-5 45. 50. 33-24 33-15 60-09 0.50 1.61 7.37 0.21 16 26-5 0.96 51 89. 1. 39-06 40-67 58-39 9.25 1.89 11-3 26. 3.31. 3-3 179. 24. 36-22 39-52 56-70 8.90 3.13 1.09 1.44 25 29-5 2.83 31 94. 13. 17-49 11-65 65-84 14.94 0.49 19-4 28. 5. 15. 51'6 208. 54. 11-94 8-90 63-04 11.91 2.83 0.33 1.06 10 30-1 2.74 22 92. 17. 57-70 52-10 65-60 12.74 0.19 26-5 31. 7.55.19-8 250. 22. 33-67 25-97 67-70 14. 00 2.07 0.55 0.18 15 30-9 2.21 12 88. 43. 35-26 33-56 61-70 8.68 0.13 35-2 Aug. 1. 8.48. 2-5 263.36. 6-48 3-95 62-53 13.91 1.82 0.97 0.03 23 31-5 1.95 10 87. 38. 27-58 25-50 62-08 7.45 0.21 37-2 3. 10. 28. 53-3 289.24. 4-16 3-06 61-10 12.68 1.38 2. 23 0.13 43 32-0 1.40 08 85. 56. 39-35 36-25 63-10 5.54 0.48 39-6 6. 12. 46. 43-8 326. 53. 44-46 49-24 55-22 8.90 1.01 4.65 1.01 53 32-8 0.59 12 85. 0. 2-95 10-32 52-63 4.50 1.04 39-1 7. 13. 28. 47-8 339. 9.34-26 36-86 57-40 7.39 0.97 5.45 1.29 47 33-1 0.38 15 85. 9.16-40 19-89 56-51 4.68 1.23 38-0 8. 14. 10. 14-5 351.21.38-59 40-37 58-22 5.85 0.99 6.17 1.47 38 33-3 0.21 18 85.31.42-71 47-83 54-88 5.12 1.41 363 9. 14. 51. 46-8 3. 32. 44-71 48-10 56-61 4.38 1.04 6.79 1.51 28 33-8 0.08 22 86. 6.28-95 32-12 56-83 5.78 1.57 34-3 10. 15. 34. 9-9 15. 46. 38-35 39-27 59-08 3.03 1.15 7.25 1.42 19 34-1 0.01 27 86.52. 7-22 12-58 54-64 6.65 1.70 32-0 12.17. 4.22-1 40. 41. 24-86 24-77 60-09 0.92 1.48 7.75 0.92 08 34-6 0.05 36 88. 49. 21-31 35-55 45-76 8.88 1.88 26-5 27. 5.51. 6-5 246. 6. 6-40 2-09 64-31 13.85 2.24 0.26 0.92 08 38-0 2.83 30 88. 50. 55-58 49-82 65-76 8.95 0.12 19-9 28. 6.44.31-4 259.31.56-67 50-86 65-81 14.01 1.97 0.24 0.60 08 38-2 2.80 25 87. 44. 15-01 6-50 69-51 7.68 0.19 22-9 29. 7.36.25-3 272. 37. 33-32 23-86 69-46 13.78 1.72 0.38 0.31 11 38-3 2.71 21 86. 46. 21-69 18-47 63-22 6.58 0.31 26-0 31. 9.13.57-7 298. 3.20-43 15-11 65-32 12.30 1.31 1.21 0.00 28 38-7 2.37 14 85. 25. 38-22 40-15 58-07 5.03 0.62 31-8 Sep. 2.10.43.12-3 322. 50. 59-48 46-03 73-45 9.80 1.05 2.55 0.23 47 39-1 1.88 09 84. 58. 48-42 53-08 55-34 4.50 1.00 36-3 5. 12. 50. 50-5 359. 32. 44-17 38-58 65-59 5.29 1.00 5.00 1.15 50 39-6 1.05 09 86. 1.14-67 15-31 59-36 5.62 1.54 39-8 8.15. 1.28-4 36. 27. 59-11 62-31 56-80 1.47 1.36 7.02 1.49 24 40-0 0.33 16 88.41.39-14 40-22 58-92 8.61 1.87 38-9 11.17.30.59-2 75. 8.16-89 22-71 54-18 0.03 2.05 7.78 0.77 07 40-4 0.01 28 92. 3.47-18 53-14 54-04 12. 42 1.83 33-3 Sub. eo'-oo Sub. 7. 02 Sub. Sub. Sub. g \ 0.76 Sub. M 30 Sub. 20-8 Sub. r \ 1.42 Sub. 30 Sub. 60-00 Sub. a \ 10.21 Sub. \ \\ 1 00 Sub. 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [143] Greenwich Mean Solar Time of Longitude of M "3 ~ o-- 5 H 0> 3 1x s |j St- U - ,2" a .2 jj => = 1 a x o 3 " a .9 c i- V 2 a Ecliptic N. P. D. of H <-. * afo "* . o "v G Ssl bD ?g S3 ~0 Observation of Moon's Limb. Moon's Center from Observation. 8 ,* * C H fl CO *- C % J'5 MO S-S .- 3 S cr w a II X < 5.5 I! .^s 3. Z< 3.3 C a c = *& B 1 ft G.3 Moon's Center from Observation. S *o- Wl *O . m &a M o.S fz WW 1789. d " " 1 It H H S v \ v\ > g v \\ v e < o / // i, ff e ' V > Sep. 12. 18. 25. 15-6 88. 46. 33-95 33-34 60-61 0.30 2.31 7.67 0.47 10 40-5 0.01 33 93. 6.30-45 27-26 63-19 13.60 1.72 30-4 14. 20. 16. 56-2 117.32.19-65 17-65 62-00 2.01 2.81 6.95 0.07 24 40-7 0.19 41 94. 39. 48-96 61-15 47-81 15.41 1.38 23-7 25. 5.30.51-2 268. 3.29-37 23-03 66-34 13.97 1.88 0.34 1.07 10 41-5 2.63 42 86. 51. 37-05 22-81 74-24 6.83 0.28 11-2 26. 6. 22. 13-8 281. 9.58-19 53-69 64-50 13.60 1.63 0.23 0.77 07 41-5 2.75 37 86. 0.59-17 45-31 73-86 5.87 0.42 13-3 27. 7. 11. 0-6 293. 56. 45-21 41-01 64-20 12.89 1.42 0.29 0.46 09 41-5 2.82 33 85. 23. 34-08 27-50 66-58 5.15 0.58 15-9 Dct. 1.10. 6. 1-4 343. 17. 69-70 55-74 73-96 7.76 0.98 2.18 0.11 43 41-6 2.52 16 85. 16. 0-23 0-90 59-33 4.90 1.33 27-3 2. 10. 47. 38-2 355. 30. 47-27 28-48 78-79 6.23 0.98 2.94 0.34 50 41-6 2.32 13 85. 48. 12-29 12-30 59-99 5.47 1.50 29-9 3.11.29.42-8 7. 45. 47-54 30-29 77-25 4.73 1.03 3.76 0.65 54 41-6 2.08 10 86.32. 811 8-37 59-74 6.26 1.65 32-4 4. 12. 14. 56-9 20. 6. 19-45 9-77 69-68 3.34 1.12 4.59 0.98 53 41-6 1.82 09 87.26. 6-90 12-86 54-04 7.24 1.77 34-9 5. 12. 59. 47-8 32. 32. 32-51 27-03 65-48 2.11 1.25 5.40 1.27 48 41-5 1.54 08 88. 28. 15-23 8-02 67-21 8.37 1.85 36-7 6. 13. 46. 40-0 45. 7.36-86 32-33 64-53 1. 12 1.43 6.12 1.46 39 41-5 1.25 08 89. 35. 20-97 23-59 57-38 9.60 1.90 38-3 9.16.19.38-1 84. 11.64-14 58-43 65-71 0.09 2.15 7.60 1.23 12 41-4 0.48 13 92. 57. 50-96 54-41 56-55 13.34 1.75 39-9 28. 8. 3.29-2 338. 57. 22-86 26-69 56-17 8.70 1.00 0.69 0.11 18 39-4 2.78 36 85. 1.56-30 53-42 62-88 4.80 1.29 11-8 29. 8.45. 4-8 351. 9. 3-44 0-89 62-55 7.18 0.97 1.17 0.00 27 39"2 2.83 32 85. 30. 50-30 51-32 58-98 5.32 1.46 13-9 31.10. 9.48-1 15. 42. 15-69 2-13 73-56 4.19 1.05 2.49 0.21 46 38-9 2.76 23 87. 4.17-71 17-72 59-99 6.99 1.74 19-2 Nov. 1. 10. 54. 17'6 28. 10. 16-73 4-32 72-41 2.85 1.16 3.29 0.48 52 38-7 2.64 19 88. 5.25-22 24-66 60-56 8.10 1.84 22-2 2. 11.40.53-9 40.49. 11-10 2-13 68-97 1.70 1.32 4.12 0.81 54 38-4 2.47 15 89.13. 6-01 2-46 63-55 9.32 1.89 25-0 2. 11.43. 2-8 40. 50. 12-47 8-30 64-17 1.70 1.32 4.12 0.81 54 38-4 2.47 15 89.13. 4-63 8-52 56-11 9.32 1.89 25-0 3.12.32. 1-6 53.41.40-14 41-09 59-05 0.82 1.51 4.94 1.13 51 38-2 2.26 12 90.24.18-22 17-41 60-81 10.61 1.90 28-0 7.16. 3.31-9 107. 30. 33-64 23-51 70-13 0.77 2.51 7.42 1.35 15 37-4 1.18 08 94.29.59-01 58-22 60-79 15.07 1.47 38-0 8. 16. 56. 42-6 121. 35. 34-26 26-17 68-09 1.73 2.75 7.69 1.10 09 37-2 0.90 09 95. 2.26-42 30-54 55-88 15.66 1.27 39-3 9,17.49. 4-4 135.56. 6-82 0-49 66-33 3.01 2.95 7.78 0.79 07 37-0 0.65 11 95. 16.54-39 60-16 54-23 15.92 1.05 39-9 26. 7.22.35-9 358.32.12-05 13-83 58-22 6.60 0.97 0.51 0.22 14 32-4 2.35 47 85. 54. 35-41 31-99 63-42 5.83 1.58 7-5 28. 8.48.28-2 23. 8.49-98 46-61 63-37 3.66 1. 09 1.46 0.00 32 31-9 2.70 40 87. 40. 8-50 9-73 58-77 7.77 1.81 9-0 29. 9.34.12-3 35. 43. 33-23 28-69 64-54 2.39 1.22 2.13 0. 10 42 31-6 2.79 35 88.45.23-19 24-65 58-54 8. 95 1.88 10-4 Dec. 2.12. 8.54-1 75.11.22-69 24-19 58-50 0. 12 1.83 4.53 0.96 53 30-7 2.73 22 92. 17. 33-58 34-65 58-93 12.82 1.80 17-7 3. 13. 3. 34-5 88. 56. 46-07 48-52 57-55 0.05 2.08 5.34 1.25 48 30-1 2.60 18 93. 20. 54-88 54-48 60-40 13.95 1.63 20-9 5. 14. 53. 0-8 117.12.29-25 24-09 65-16 1.10 2.61 6.71 1.52 29 29-5 2.20 12 94.51. 4-45 4-76 59-69 15.56 1.3-2 27-8 6. 15. 46. 12-6 131. 36. 51-49 40-69 70-80 2.18 2.83 7.22 1.44 20 29-2 1.94 10 95. 10. 57-43 57-83 59-60 15.90 1. 10 30-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. ff e \ \ \\ g \ \\ | g , \\ , f i \ \\ \ 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 [144] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. J M * ^ T3 Z = II | ""o.S Excess of Observed Longitude. _w .*' 'S.'K 5 f Change for fl?-l 1 in Argument. & *-> '^ * 3J = 3 C" II Variation. Change for OS'I 1 in Argument. Annual Equation. Evection. Change for 0^1 \ in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of 1 Tabular F.clipticl N.P. D. 1 _U c '. . **- "~~ C gTJS s * a % Effect of Mean Inclination. Change for OS- 1 I in Argument. N .20- fz fild 1799. '. Dec. 24. 5. 59. 23-7 Of" 5. 37. 40-55 ff 42-96 fr 57-59 s " 6.03 0.98 0.23 0.65 07 23-1 1.34 53 o / /' 86. 29. 35-25 ff 30-12 // 65-13 g " 6.43 \ \\ 1.67 V 12-2 25. 6.41.59-9 17. 50. 45-37 47-58 57-79 4.53 1.04 0.35 0.35 11 22-8 1.63 52 87. 22. 34-78 28-92 65-86 7.42 1.79 10-4 29. 9.54.27-9 69. 3.35-41 34-05 61-36 0.35 1.68 2. 44 0.19 46 21-1 2.59 43 91.49. 6-67 7-17 59-50 12.38 1.83 7-6 31.11.45. 2-0 96. 56. 31-76 27-98 63-78 0.1-2 2.18 4.06 0.79 54 20-5 2.81 34 93. 50. 32-36 32-11 60-25 14.61 1.57 9-8 1790. Jan. 1.12.43.34-3 111.27.26-53 27-14 59-39 0.60 2.45 4.88 1.11 51 20-1 2.83 29 94. 33. 26-85 27-04 59-81 15.39 1.38 12-0 3.14.33. 1-4 141. 6. 55-84 48-05 67-79 2.69 2.91 6.40 1.50 35 19-1 2.70 21 95. 4.31-12 34-41 56-71 15.91 0.93 18-0 6. 17. 8. 52-3 185. 42. 39-64 3323 66-41 7.63 3. 17 7.69 1.11 10 18-1 2.13 11 93. 23. 37-88 38-95 58-93 13.95 0.32 28-7 20. 3.54.53-5 0.38.71-56 55-58 75-98 6.98 0.97 0.69 1.34 17 13-3 0.20 42 86. 24. 47-59 42-18 65-41 6.17 1.64 27-8 21. 4.36.55-0 12. 48. 15-74 1-32 74-42 5.46 1.00 0.37 1.12 11 13-0 0.37 45 87. 14. 27-25 21-48 62-77 7.11 1.76 25-0 23. 6. 4.44-0 37. 17. 36-30 26-45 69-85 2.68 1.18 0.27 0.51 08 12-4 0.85 51 89. 14. 57-57 57-10 60-47 9.40 1.89 19-2 25. 7.41.41-2 62. 43. 60-69 48-19 72-50 0.72 1.54 0.87 0.05 21 11-8 1.41 53 91.28.28-45 28-55 59-90 11.93 1.86 13-9 27. 9.29. 0-9 89.52. 9-43 0-64 68-79 0.03 2.02 2.08 0.09 41 10-9 1.99 51 93. 30. 33-38 36-29 57-09 14.24 1.64 9-6 28.10.25.11-7 04.11.21-11 17-30 63-81 0.26 2.28 2.83 0.31 49 10-6 2.24 48 94. 17. 15-72 15-55 60-17 15.12 1.46 8-2 29. 11. 21. 44-8 18. 58. 40-12 30-79 69-33 0.88 2.55 3.64 0.61 53 10-3 2.46 45 94. 48. 25-85 20-89 64-96 15.71 1.25 7-5 30. 12. 20. 6-3 34. 9.16-08 12-75 63-33 1.89 2.78 4.47 0.94 53 10-0 2.64 42 95. 0. 11-19 10-25 60-94 15.93 1.01 7-6 Feb. 1.14. 9.17-5 64. 58. 34-54 22-53 72-01 4.80 3.11 6.02 1.44 40 9-5 2.82 33 94. 19. 50-91 53-53 57-38 15.17 0.55 10-2 18. 3.16.17-2 20. 22. 37-46 25-08 72-38 4.89 1.02 0.94 1.42 22 5-0 0.00 29 88. 4.20-76 20-43 60-33 7.90 1.82 36-7 19. 3.59.69-2 32. 32. 20-04 10-24 69-80 3.48 1.11 0.53 1.25 14 4-6 0.02 34 89. 6.15-51 14-93 60-58 9.07 1.88 34-9 20. 4.45.26-1 44. 48. 62-71 51-07 71-64 2.24 1.24 0.29 0.99 09 4-4 0.10 38 90.11.24-46 21-83 62-63 10.30 1.90 32-7 21. 5.33. 2-7 57. 18. 36-79 18-58 78-21 1.22 1.41 0.23 0.67 07 4-2 0.24 43 91.17. 9-89 8-44 61-45 11.53 1. 88 29-9 22. 6.22.59-7 70. 6.60-15 38-62 81-53 0.49 1.62 0.34 0.37 10 4-0 0.43 46 92. 20. 45-91 44-35 Gl-56 12.74 1.81 27-3 25. 9. 4.19-2 11.17.48-08 34-42 73-66 0.44 2.38 1.68 0.03 36 3-4 1.20 52 94.43.36-71 36-32 60-30 15.50 1.34 17-5 26. 9.59.56-9 26. 4.68-13 58-73 69-40 1.21 2.64 2.38 0.18 45 3-2 1.50 53 95. 2. 7-4-2 3-17 64-25 15.88 1.12 14-3 27. 10. 55. 32-6 41.20.47-63 40-41 67-22 2.35 2.86 3.17 0.44 52 2-9 1.78 52 94. 59. 60-96 59-20 61-76 15.88 0.88 11-5 28. 11. 50. 54-3 56. 56. 68-0!) 56-96 71-13 3.79 3.04 4.06 0.77 54 2-7 2.06 50 94.35.59-12 52-02 67-10 15.46 0.64 9-3 Mar. 3. 14. 39. 39-0 04. 2.12-46 4-07 68-39 8.95 3.13 6.36 1.50 35 2-2 2.67 40 91.32.57-61 60-64 56-97 12. 11 0.15 7-8 5. 16. 3-2. 32-8 34. 2. 5-26 3-18 62-08 1.95 2.82 7.39 1.37 16 1-9 2.83 32 88. 53. 59-25 63-57 55-68 9.15 0. 11 11-0 19. 2.42.26-0 40. 36. 27-71 16-78 70-93 2.99 1.16 1.21 1.46 27 0-4 0.23 18 89. 59. 44-42 60-35 44-07 10. 02 1.90 40-0 20. 3.28.53-7 52.55.43-16 40-67 62-49 1.82 1.30 0.72 1.35 18 0-3 0.10 22 91. 6.33-38 37-38 56-00 11.25 1.89 39-8 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Stib. Sub. Sub. Sub. Sub. Sub. 60-00 7*. 02 2. 00 4.00 0*76 \\ no 20-8 * \ 1.42 30 60-00 10.21 1.00 ">3'7 SECT. III. COMPARISON OP MOON'S OBSERVED AND TABULAR PLACE. [145] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Lonuitude. Excess of Observed Longitude. w -" 0.2 CT- a J o a I 1 g ' O ' // It // s - , ,, > Mar. 21. 4. 17.15-5 65. 26. 40-09 33-23 6(5'8!i 0.90 1.48 0.38 1.13 11 0-3 0.02 26 92. 11. 11-02 12-09 58-93 12.45 1.83 39-1 24. 6.51.57-8 104. 56. 62-14 43-12 79-02 0.16 2.22 0.46 0.25 13 0-1 0.14 40 94.41.30-79 34-36 56-43 15. 30 1.41 33-7 25. 7.45.25-8 119. 0.56-90 37-15 79-75 0.69 2.48 0.84 0.06 21 0-1 0. 29 44 95. 5.57-14 56-35 60-79 15.78 1.20 30-9 31. 13. 19.27-9 211.36. 19-53 13-18 66-35 9.68 3.09 5.23 1.23 49 o-o 1.86 51 90.47.20-12 23-36 56-76 11.24 0.11 10-5 April 1.14.18. 1-2 227. 6.37-28 32-16 65-12 11.12 2.94 5.97 1.44 41 o-o 2.13 49 89. 22. 20-82 26-81 54-01 9.69 0.10 8-7 2. 15.16.45-8 242. 12.48-51 4523 63-28 12.40 2.73 6.63 1.52 31 o-o 2.37 47 88. 2. 2-47 11-48 50-99 8.21 0.16 7-7 3. 16. 14. 36-6 256. 50. 21-27 16-81 64-46 13.32 2.49 7.19 1.45 21 o-o 2. 50 43 86.52. 5-29 10-96 54-33 6.92 0.26 7-4 4.17. 10.28-3 270. 57. 56-79 47-45 69-34 13.87 2.23 7.56 1.26 13 0-1 2.71 39 85.56. 5-17 6-70 58-47 5.88 0.41 7-9 20. 4.46.11-3 100. 13. 58-40 54-32 64-08 0.04 2.05 0.30 1.00 09 1-3 0.19 19 94. 35. 45-04 39-26 65-78 15.14 1.46 39-9 25. 9. 7. 10-3 172. 1. 20-54 7-09 73-45 5.00 3.12 1.68 0.02 36 2-0 0.17 41 93. 56. 40-50 36-44 64-06 14.51 0.41 33-3 26. 10. 1. 36-1 187.29.61-20 46-71 74-49 6.75 3. 18 2.38 0.17 45 2-2 0.33 45 92.51.28-13 24-47 63-66 13.34 0.25 29-9 27.10.57.51-1 203. 9. 33-86 25-01 68-85 8.52 3. 15 3.17 0.43 51 2-3 0.55 48 91.32.42-36 41-30 61-06 11.93 0.14 26-3 30. 13. 57.59-7 249. 38. 19-58 18-02 61-56 12.79 2.65 5.62 1.34 45 2-9 1.36 53 87.22.51-67 53-09 58-58 7.41 0.22 15-2 May 2. 15. 53. 5-3 278. 45. 35-42 32-91 62-51 13.97 2. 13 6.91 1.50 26 3-3 1.94 51 85.28.13-57 17-65 55-92 5.33 0.53 10-2 3. 16. 46. 7'2 292. 33. 62'73 59-47 63-26 13.96 1.87 7.37 1.38 17 3-4 2.20 49 84. 56. 50-00 50-61 59-39 4.76 0.73 8-7 20. 5. 17. 14-4 137. 16. 12-83 10-04 62-79 1.34 2.67 0.25 0.86 08 7-3 0.51 13 95.13.10-11 9-24 60-87 15.88 0.87 37-7 23. 7.50.39-2 180.55.51-94 50-58 61-30 5.65 3.15 0.81 0.07 20 8-3 0.05 24 93. 18. 63-33 57-65 65-68 13.75 0.29 39-9 24. 8. 44. 5-5 196. 0. 49-65 46-68 62-99 7.42 3.18 1.33 0.00 30 8-5 0.00 29 92. 8.21-35 17-17 64-18 12.46 0.17 39-1 31.15.26. 1-5 299. 58. 18-94 9-79 69-15 13.86 1.77 6.63 1.52 31 10-7 1.15 52 84.51.26-22 27-74 58-48 4.56 0.86 18-4 June 5. 19. 9. 55'9 3. 37. 48-79 50-58 58-21 8.66 1.00 7.61 0.40 11 12-1 2.48 45 86. 55. 59-23 56-10 63-13 6.95 1.74 8-2 7. 20. 35. 43-9 27.57.61-24 58-52 62-72 5.61 0.99 6.83 0.06 27 13-0 2.76 37 88. 56. 50-37 42-20 68-17 9.18 1.89 7-4 20. 6. 38. 6-8 190. 46. 31-80 3362 58-18 6.33 3.17 0.33 0.40 10 17-0 0.68 11 92.25.4509 40-58 64-51 12.80 0.20 36-1 21. 7.31. 9-1 205. 32. 37-33 41-76 55-57 8.09 3.16 0.60 0.16 16 17-3 0.45 14 91,11.29-43 21-82 67-61 11.41 0.12 38-1 23. 9.23. 14-1 235.17.21-36 28-69 52-67 11.30 2.92 1.63 0.02 35 18-2 0.12 21 88. 32. 61-89 56-96 64-93 8.46 0.14 40-0 24. 10. 21. 34-5 250. 8.24-88 33-32 51-56 12. 53 2.71 2.33 0.16 15 18-6 0.03 25 87. 20. 22-74 17-99 64-75 7.11 0.24 39-7 27. 13. 13. 50-6 293.30.48-53 45-45 63-08 14. 00 1.93 4.76 1.06 52 19-5 0.11 39 85. 5. 5-54 9-28 56-26 4.66 0.79 34-7 28.14. 5.11-6 307. 17. 12-55 4-94 67-61 13.71 1.68 5.56 1.33 46 19-8 0.26 43 84.55. 3-62 4-95 58-67 4.50 1.00 32-0 July 2.17. 5.30-4 358.42.21-59 15-6(i 65-93 9.58 1.04 7.64 1.16 10 21-4 1.23 52 86. 46. 35-77 36-36 59-41 6.67 1.71 20-2 19. 6.21.34-6 215. 43. 22-20 19-07 63-13 8.76 3.14 0.25 0.56 OS 27-1 1.43 08 90. 4. 30-42 25-52 64-90 10.250.10 28-3 Sub. 60'-00 Sub. 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. t \ 1.42 Sub. n 30 Sub. 60-00 Sub. f \ 10.21 Sub. \ \\ J.OO Sub. 23-7 2.00 4.00 GREENWICH LUNAR REDUCTIONS. [U] [146] BEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .<>$ *3 = 5- w g Change for 0?-1 1 in Argument. Parallactic Inequality. Variation. Change for 0- 1 1 in Argument. Annual Equation. Erection. Change for OS- 1 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P. D. .0.2 o s. '=!? lit z* j Effect of Mean Inclination. Change for 06-1 1 in Argument. Evertion in E. N. P. D. 1790. * " " ' July 20. 7.16.43-8 / 230. 18. 49-23 49-87 59-36 s * 10.40 \ \\ 3. 0'_ 0.42 s * 0.27 \\ 12 i 27-4 s * I. 14 \\ 08 / H 88.47.51-86 45-11 i 66-75 e ' 8.80 0.13 1 31-6 31. 16. 25. 58-0 18. 10. 57'4 0.76 30 20-8 a \ 1.42 \\ 30 60-00 10.21 \ 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [147] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation, Seconds of Tabular Longitude. Excess 1 of Observed Longitude. X <-> rl '-! := (.;. j= 1 Change for 05-1 1 in Argument. Parallactic Inequality. Variation. Change for 0'l 1 in Argument. 38 II e N \\ O ' II II n g \ v\ ! June 7. 4,28. 3-8 142. 20. 14-71 8-72 65-99 0.03 1.97 0.38 1.12 11 12-7 0.28 17 94.19. 2-41 3-28 59-13 15.00 0.51 26-3 9. 6. 3.51-3 169. 25. 48-66 48-73 59-93 0.73 2.50 0.26 0.51 08 133 0.04 25 92. 36. 8-80 7-10 61-70 13. 03 0.22 32-2 11. 7.44.59-7 198. 4.31-70 22-41 69-29 2.93 2.94 0. 84 0.06 21 13-9 0.02 34 90. 10. 25-33 18-45 66-88 10.29 0.10 37-2 112. 8.39.25-3 213. 3. 14-16 7-16 67-00 4.46 3.09 1.37 0.00 31 14-2 0.10 38 88. 50. 50-51 45-96 64-55 8.80 0.13 38-9 13. 9.37. 0-2 228. 25. 59-85 60-44 59-41 6.17 3.17 2.08 0.09 41 14-5 0.24 42 87. 34. 25-85 16-86 68-99 7.37 0.22 39-8 18.14.41.10-9 306. 7.57-92 46-14 71-78 13.37 2.47 6.02 1.44 40 16-4 1.50 53 85. 9.39-46 37-28 62-18 4.77 1.27 32-0 20.16.24. 6-9 334.30.29-61 21-20 68-41 14.01 1.95 7.19 1.45 20 17-0 2.06 50 86. 26. 34-09 28-10 65-99 6.26 1.65 25-5 21.17.11. 7-5 347. 53. 53-75 48-09 65-66 13.75 1.70 7.56 1.25 12 173 2.31 48 87. 22. 30-21 29-40 60-81 7.32 1.78 22-2 July 6. 4. 1. 52-9 165. 9.39-67 28-67 71-00 0.34 2.33 0.53 1.25 14 22-4 0.89 10 92.41.21-22 20-66 60-56 13.28 0.24 16-3 14. 11. 23. 58-7 283. 24. 10-67 7-42 63"25 11.71 2.86 3.17 0.44 52 25-2 0. 14 40 84. 59. 58-42 50-78 67-64 4.51 0.94 39-4 15.12.22.42-5 298.38.48-7-2 38-51 70-21 12.84 2.63 4.06 0.77 54 259 0.29 44 85. 5.49-08 46-44 63-54 4.61 1.18 40-0 15.12.25. 2-9 298.40.11-22 3-46 67-76 12. 85 2.63 4. Ofa 0.77 54 25-9 0.29 44 85. 5.50-5-2 47-99 62-53 4.61 1.18 40-0 17.14.13.11-8 327. 59. 30-54 17-41 73-13 13.98 2.11 5.6- 1.35 45 26-5 0.73 50 86. 14. 32-96 25-06 67-90 5.90 1.59 38-8 18.15. 2.38-1 341.55.21-05 10-81 70-24 13.95 1.85 6.36 1.50 35 26-8 1.00 52 87. 9.29-30 23-73 65-57 6.93 1.74 37-2 20. 16. 35. 9-5 8.22.14-28 4-68 69-60 12.82 1.41 7.3! 1.37 16 27-4 1.57 52 89. 18. 62-70 59-22 63-48 9.38 1.89 32-7 Aug. 7. 6. 15. 57-5 232. 3.39-8-2 36-83 62-99 5.76 3.16 0.26 0.53 08 32-8 0.82 10 86. 53. 64-03 54-70 69-33 6.83 0.28 16-8 9. 8.11.32-0 261.50.20-14 25-57 54-57 9.26 3.11 0.84 0.06 21 33-6 0.36 15 95.18. 9-05 0-85 68-20 4.98 0.64 24-0 11.10. 8.43-6 291. 50. 32-55 34-61 57-94 12. 18 2.78 2.03 0.08 41 34-1 0.07 23 84.57.11-88 9-5G 62-32 4.53 1.10 30-9 15. 13.40.25-9 349. 11.69-00 59-16 69-84 13.84 1.76 5.23 1.23 49 35-3 0.17 41 87.51.33-21 29-25 63-06 7.60 1.81 39-5 17.15. 12.57-9 15.34.51-00 3591 75-18 12.46 1.34 6.63 1.52 31 35-7 0.55 48 90. 9.34-86 37-72 57-14 10.25 1.90 39-9 18.15.58. 7-1 28.15.39-15 20-25 78-90 11.35 1.18 7.10 1.46 21 36-0 0.79 50 91. 17. 18-08 23-70 54-38 11.51 1.88 39-2 19. 16. 43. 16-6 40.41.52-10 35-33 76-77 10.04 1.07 7.53 1.27 13 36-2 1.07 52 92.20. 12-15 16-55 55-60 12. 60 1.81 38-0 21.18.15.13-4 65. 12. 55-24 43-18 72-06 7.05 0.97 7.70 0.68 07 36-6 1.65 52 94. 2.20-60 21-22 59-38 14.61 1.57 34-5 22. 19. 2. 25-0 77.28.61-44 53-67 67-77 5.52 0.99 7.61 0.39 11 36-8 1.93 51 94. 37. 47-72 48-56 59-16 15.29 1.41 32-2 Sep. 5. 6. 5.56-5 257. 10. 63-5:j 56-02 67-51 8.20 3. 16 0.22 0.69 07 39-4 1.58 08 85. 18.25-00 12-06 72-94 5.12 0.50 9-8 9. 9.49.336 315. 23. 42-61 46-83 55-78 13.45 2.44 1.68 0.02 36 40-1 0.51 13 85.35. 8-49 6-60 61-89 5.33 1.47 21-2 10. 10. 40. 37-7 329. 28. 14-06 14-89 60-07 13.92 2.18 2. 38 0. 17 45 40-2 0.31 16 86. 23. 51-93 51-90 60-03 6.20 1.64 24-5 11.11.29.38-6 343.15.52-12 50-06 62-0(! 13.99 1.92 3.17 0.43 51 40-3 0.15 20 87. 24. 26-92 26-17 60-75 7.30 1.77 27-8 12. 12. 19. 8-9 356.46.25-16 18-41 66-75 13.68 1.67 4.00 0. 75 54 40-4 0.05 24 88. 32. 36-60 40-43 56-17 8.53 1.86 30-9 Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sub. 60 : 00 7.02 2. 00 4.00 0.76 30 20-8 g > 1.42 30 60-00 10.21 i. oo 23-7 - [150] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. slf 11 M ;. O "J a . -j -_ M t " 1M MO SJ w ,~ 11-1 5 I Change for 0- 1 in Arglr.nent. I'M rail actic Inequality. Variation. 1 Change for 03- 1 1 in Argument. _^ c 1i-2 S "a $ Evection. Change for 0?M 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. t*^ " ;sc *c ti ^ . Hz =2 Excess of Ob- served Kcliptic N. P. D. e : c-= is! 5*1 t'n tg = to tt. c *- 5 < CjE Q .IP-' tZ ^ . u w 1791. d b " ' Sep. 13. 13. 6. 23-3 o / 9. 57. 13-23 // 0-78 // 6G-47 g ' 13. 03 \ \v 1.45 \ \t 4.8- I s ' i 1.07 \\ 52 \ 40-5 s x 0. 00 29 1 II 89.44. 3-48 7-31 56-17 s x 9.83 1.90 33-5 14.13.51. 2-1 22. 50. 32-60 25-30 67-30 12.08 1.27 5.6-- 1.34 45 40-6 0.01 33 90. 54. 50-23 56-80 53-37 11.12 1.89 35-8 15. 14. 36. 32-8 35. 28. 35-34 22-0-. 7332 10.88 1.13 6.31 ! 1.49 36 40-8 0.08 38 92. 1.41-12 45-52 55-60 12.34 1.84 37-6 17.16. 8.28-7 60.11.74-01 56-01 78-00 8.00 0.98 7.37 1.39 17 41-0 0.39 45 93. 52. 42-89 44-43 58-46 14.38 1.62 39-7 18. 16. 55. 15-8 72. 26. 38-48 20-47 78-01 6.47 0.97 7.65 1. 15 10 41-1 0.60 49 94. 32. 46-67 52-37 54-30 15. 12 1.46 40-0 19.17.42.38-1 84.42.45-28 29-09 76-19 4.95 I. 01 7.77 0.85 07 41-1 0.86 51 95. 0.32-25 39-54 52-71 15.63 1.29 39-8 Oct. 7. 8.36. 3-0 324.44. 5'48 1-73 63-75 13. 68 2.34 0.81 0.07 20 41-5 1.50 08 86. 3.31-73 27-6C 64-07 5.97 1.60 10-2 10. 10. 57. 44-1 4. 51. 13-47 7-17 66-30 13.48 1.59 2.71 0.28 48 41-4 0.68 11 89. 15. 46-32 48-44 57-88 9.47 1.89 17-5 11.11.43.11-5 11. 11.45. 16-8 17.45.11-01 17. 46. 13-29 5-95 11-04 65-06 62"25 12. 70 12. 70 1.38 1.38 3.52 3.52 0.57 0.57 53 53 413 41-3 0.45 0.45 14 14 90.27.13-42 90. 27. 18-01 13-87 19-89 59-55 58-12 10.75 10. 7<> 1.90 1.90 20-4 20-4 13. 13. 16. 20-7 42.59. 9-81 8-01 61-80 10.37 1.09 5.17 1.21 49 41-2 0.12 21 92. 39. 30-95 30-70 60-25 13.15 1.77 26-5 14.14. 2.29-1 55.21.50-77 45-07 65-70 8.94 1.01 5.92 1.42 41 41-1 0.03 25 93. 34. 26-40 30-19 56-21 14.13 1.65 29-2 15.14.49. 8-4 67. 38. 36-46 25-28 71-18 7.43 0.97 6.58 1.51 32 41-0 0.00 30 94. 19. 1-56 7-11 54-45 14.93 1.51 31-8 16. 15. 36. 13-5 79. 52. 36-13 23-30 72-83 5.89 0.98 7.12 1.47 22 40-9 0.03 34 94.51.42-30 44-07 58-23 15.51 1.34 34-3 18.17.11. 3-8 104. 28. 18-58 9-48 69-10 3.04 1.14 7.73 1.02 08 40-7 0.25 43 95.16.16-19 21-32 54-87 15.93 0.96 37-9 19. 17. 58. 33-7 116.59.15-19 6-83 68-36 1.86 1.29 7.76 0.71 07 40-6 0.44 46 95. 6.41-29 47-28 54-01 15.74 0.77 39-1 20.18.46. 6-0 129. 45. 25-39 23-44 61-95 0.93 1.48 7.63 0.41 11 40-5 0.67 49 94.41.57-33 63-10 54-23 15.27 0.58 39-8 22. 20. 22. 13-7 156.22.56-69 59-42 57-27 0.04 1.94 6.83 0.06 26 40-3 1.21 52 93. 7.47-05 52-12 54-93 13.53 0.27 39-5 Nov. 4. 7.22.49-8 334. 14. 36-80 28-74 68-06 13.85 2.24 0.33 0.40 10 38-2 2.45 15 86.45. 4-55 4-80 59-75 6.78 1.72 7-9 5. 8. 9.51-0 347. 34. 10-35 2-61 67-74 14.01 1.98 0.60 0.15 16 38-0 2.23 12 87.47. 7-81 7-85 59-96 7.94 1.83 7-4 6. 8.55.28-5 0.36.28-10 18-03 70-07 13.79 1.73 1.05 0.02 25 37-8 1.98 10 88. 54. 42-29 47-05 55-24 9.18 1.89 7-6 7. 9.40.23-9 13. 24. 54-90 40-44 74-46 13.22 1.51 1.63 0.02 35 37-6 1.71 09 90. 4.22-89 26-88 56-01 10.47 1.90 8-4 8. 10. 25. 12-2 26. 2. 26-10 11-58 74-52 12.33 1.31 2.33 0. 15 44 37-4 1.43 08 91. 12. 42-13 46-58 55-55 1.1. 72 1.87 9-7 11. 12. 44. 39-2 03. 13.40-53 36-69 63-84 8.38 0.99 4.76 1.05 52 36-6 0.62 12 94. 0.43-22 45-76 57-46 14.76 1.54 15-9 14.15. 6.19-4 99. 59. 18-12 12-92 65-20 3.87 1.08 6.87 1.51 27 36-0 0.09 22 95. 8.59-04 64-85 54-19 15.93 1.01 24-2 16. 16. 40. 11-6 124. 47. 38-33 37-56 60-77 1.48 1.36 7.64 1.17 11 35-3 0.00 31 94. 44. 52-79 58-91 53-88 15. 42 0.63 29-9 21.20.39.53-9 191.55.47-00 4533 61-67 0.94 2.56 6.54 0.05 31 34-0 0.73 50 89. 59. 19-61 16-39 63-22 10.03 0.10 39-7 Dec. 2. 6. 7. 49-3 343. 19.52-81 57-24 55-57 13.96 2.14 0.25 0.87 08 30-7 2.83 30 87. 37. 44-51 41-73 62-78 7.68 1.81 15-6 4. 7.39.20-7 9. 27. 35-71 26-63 69-08 13.61 1.64 0.42 0.27 12 30-1 2.72 21 89.51.54-60 55-75 58-85 10.21 1.90 11-0 Sub. Sub. Sub; Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. ' , . - 60*- 00 r \ 7.02 \ \\ 2.00 4.00 0.70 30 20-8 K \ 1.42 \\ 30 60-00 t \ 10.21 \ w 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [151] Greenwich a . - r r Ecliptic o ^ 0. iu r Mean Solar Time Longitude x "3 "a = s t% .u 1 o O si C eC O d o o h V N. P. D. 5c v D* J ^ c 5 Q of of SMS & 3> - ^. ~ * C J5 * *f^ >*i *H of 5 w . o ,S *j C *S c . Observation of Moon's Center from $*S ""0.5 x .= "5 *2J jij It 1! 09 1 &! !< 5 7- B H fl Moon's Center from iJ 6 - IJSB t > Z Z % a Z*l |f |z Moon's Limb. Observation. O " c.s u.S 3.2 Observation. g : 1 1 0.5 aw 1791. d h "' ' O I II g \ \ \v \ \v * > \ * O 1 II H * > X > Dec. 5. 8.23.52-4 22. 4.62-68 53-08 69-60 12.91 1.43 0. 7S 0.08 20 29-8 2.58 17 90. 58. 68-01 61-70 56-31 11.47 1.88 9-3 6. 9. 8.29-1 34. 31. 38-99 25-78 73-21 11.92 1.25 1.29 0.00 30 29-5 2.39 14 92. 2. 4-18 10-18 54-00 12.65 1.81 8-2 7. 9. 53. 38-0 46.51.24-88 11-99 72-89 10.70 1.12 1.93 0.00 40 29-2 2.17 11 92. 58. 45-45 48-55 56-90 13.70 1.71 7-6 8.10.39.33-9 59. 7.36-84 23-28 73-56 9.30 1.02 2.66 0.26 48 28-9 1.91 09 93. 46. 39-94 40-84 59-10 14.59 1.58 7-4 9.11.26.17-0 71. 22. 30-40 22-10 68-30 7.80 0.98 3.46 0.55 53 28-6 1.64 08 94. 23. 48-13 50-93 57-20 15.27 1.42 7-8 10.12.15.44-1 83. 38. 57-81 52-08 65-73 6.26 0.98 4.30 0.88 54 28-0 1.36 08 94. 48. 45-76 47-23 58-53 15.73 1.24 8-8 11.13. 3.16-7 95.56. 4-13 2-68 61-45 4.76 1.02 5.11 1.19 50 27-7 1.07 09 95. 0. 14-36 18-39 55-97 15.92 1.05 10-1 12. 13.50.40-1 108. 16. 17-80 13-78 64-02 3.36 1.12 5.87 1.41 42 27-4 0.81 10 94. 57. 47-84 50-67 57-17 15.86 0.86 11-8 13. 14. 37. 36-0 120.41. 3-35 0-80 62-55 2.13 1.25 6.54 1.51 32 27-0 0.56 12 94. 41. 13-36 18-52 54-84 15.53 0.67 14-1 15.16. 9.57-1 145. 54. 10-67 13-60 57-07 0.43 1.64 7.49 1.30 14 26-4 0. 19 19 93.28. 0-84 5-85 54-99 14.11 0.34 19-4 29. 4. 0.29-7 337.41.59-19 63-62 55-57 13.75 2.30 1.01 1.44 24 21-5 2.21 49 87. 27. 22-03 21-07 60-96 7.31 1.73 32-0 31. 5.36. 8-9 4. 52. 44-07 45-40 58-67 13.88 1.79 0.31 1.03 09 20-8 2.61 42 89. 43. 40-37 39-16 61-21 9.90 1.90 26-0 1792. Jan. 7. 10. 57. 46-0 91.48.20-16 12-99 67-17 5.68 0.99 3.06 0.39 51 18-1 2.34 13 94.58.25-11 26-80 58-31 15.90 1.09 9-0 8.11.45.29-0 104.10.26-16 18-89 67-27 4.21 1.05 3.88 0.70 54 17-8 2.11 11 94. 57. 24-46 25-50 58-96 15.90 0.90 8-0 10.13.22. 9-1 129.14.24-13 25-81 58-32 1.72 1.31 5.51 1.31 46 16-8 1.57 08 94.13. 1-25 4-61 56-64 15.09 0.53 7-5 11.14. 8.37-4 141.57. 9'85 11-30 58-55 0.83 1.51 6. 22 1.48 38 16-5 1.28 08 93. 30. 56-86 63-54 53-32 14.29 0.37 8-1 12. 14. 54. 41-5 154.49. 9"28 15'6-2 53-60 0.25 1.73 6.83 1.51 27 16-2 1.00 09 92. 37. 36-95 41-68 55-27 13.30 0.24 9-2 13. 15. 40. 45-3 167. 52. 44-02 49-05 54-97 0. 03 1.98 7.31 1.41 18 15-8 0.74 11 91.35. 5-39 9-14 56-25 12. 12 0.15 10-8 17. 18. 57. 58-0 223. 6.25-67 16-53 69-14 2.96 2.95 7.51 0.30 13 14-2 0.05 24 86. 56. 43-29 45-25 58-04 6.85 0.27 22-2 31. 6.32.44-0 50. 32. 62-14 59-78 62-36 11.02 1.15 0.25 0.58 08 10-0 2.49 45 93.39. 11-94 18-39 53-55 14.21 1.64 30-6 Feb. 1. 7.18.53-0 62. 50. 43-90 42-13 61-77 9.65 1.04 0. 40 0.29 12 9-7 2.65 41 94. 19. 58-00 62-54 55-46 14.99 1.49 27-8 3. 8. 52. 50-6 87. 19. 30-95 28-36 62-59 6.63 0.97 1.25 0.00 29 8-9 2.83 32 95. 3.57-44 62-30 55-14 15.86 ,.14 22-2 4. 9.40.27-7 99.39. 9-14 4-52 64-62 5.11 1.01 1.88 0.06 39 8-6 2.83 28 95. 5.26-25 28-81 57-44 15.92 0.94J 19-2 5. 10. 28. 10-4 112. 6.15-27 17-22 58-05 3.68 1.09 2.60 0.24 47 8-4 2.77 23 94.52.28-51 31-89 56-62 15.71 0. 75 16-5 12. 16. 2. 54-4 204. 29. 11-65 17-87 53-78 1.07 2.60 7.47 1.32 14 6-3 1.21 08 88. 10. 58-53 61-32 57-21 8.37 0. 15 7'9 13.16.54. 3-1 218.34. 5-80 11-69 54-11 2.14 2.83 7.71 1.06 09 6-1 0.93 09 87. 3.13-02 15-22 57-80 7.11 0.24 9-1 16. 19.41.30-3 262. 26. 17-09 16-74 60-35 6.91 3.18 7.37 0.20 16 5-4 0.26 17 84. 54. 49-48 56-17 53-31 4.64 0.80 16-5 27. 4.25.36-7 45. 16. 48-02 41-22 66-80 11.77 1.23 0.60 1.30 16 3'0 1.24 52 93. 29. 18-52 18-24 60-28 13.92 1.68 39-9 Mar. 1. 6.46.16-7 82. 26. 28-49 25-13 63-36 7.59 0.97 0.30 0.44 09 2-5 2.09 50 95. 8.47-36 52-93 54-43 15.80 1.19 36-9 Sub. Sub. Sub. Sub. jj Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. f \ f * > ^ \ g > \\ * s \ > \\ * 60-00 7. 02 2.00 4.001 0.76 30 20-8 1.42 30 60-00 10.21 1. 00 23-7 - [152] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Lonjitude of Moon's Center from Observation. Seconds of Tubular Longitude. Excess of Observed Longitude. .s. . a y o Change for OS- 1 1 in Argument. r ' ~ c* IJS Variation. Change for OS- 1 1 in Argument. Annual Eqimtion. Evection. Change for OS- 1 1 in Argument. Ecliptic N. P. D. of Moon's Confer from Observation. sf fuC xP- W J3 . Z 5Z 5l d 3-=*. 2 2 X i W 'A Effect of Mean Inclination. 1 Change for (>-l in Argument. a "A 3* sz WW 1792. d h ' Mar. 4. 9. 8.34-5 or" 119. 33.47-35 f 49-11 it 58-24 g v 3.17 V \\ 1.13 \ \\ 1.55 a ' 0.01 n 34 1-9 g 2.09 40 o / " 94. 43. 19-79 tf 18-11 if 61-68 g * 15. 40 \ \\ 0.62 i 29-9 5. 9.65.56-0 132. 10. 25-82 22-38 03-44 1.97 1.27 2.23 0.13 43 1-8 2.79 36 94. 6. 5-44 4-68 60-76 14.74 0.45 27-3 7.11.30.35-5 158. 27. 60-93 55-28 05-05 0.36 1.67 3.82 0.68 54 1-0 2.82 27 92. 13. 40-65 40-85 59-80 12.73 0.19 20-9 8. 12. 20. 30-0 172. 0. 1-70 0-80 00-90 0.05 1.92 4.65 1.01 53 1-4 2.74 22 91. 2.47-72 51-30 56-42 11.45 0. 12 17-7 9. 13. 9. 4-0 185.47.19-93 20-50 59-37 0.12 2. 18 5.45 1.29 47 1-3 2.62 18 89. 46. 59-25 60-32 58-93 10.07 0.10 14-8 11.14.50.24-6 214. 5.50-80 52-87 57-93 1.43 2.69 6.79 1.51 28 1-1 2.22 12 87.18.13-74 16-71 57-03 7.36 0.22 10-1 12. 15. 43. 53-5 228.33.16-73 19-08 57-05 2.64 2.91 7.28 1.42 18 0-9 1.97 10 86. 15. 18-82 20-36 58-40 6.21 0.36 8-5 27. 3.51.22-9 64. 55. 62-42 52-98 69-44 10.00 1.06 0.84 1.39 20 o-o 0.51 47 94. 38. 39-90 43-84 56-12 15.24 1.43 37-3 29. 5.26.11-9 89.37. 7-60 2-48 65-12 7.01 0.97 0.26 0.92 08 o-o 1.02 52 95. 10. 9-37 17-84 51-53 15.92 1.06 39-5 30. 6. 13. 30-0 101.53.39-08 36-79 02-29 5.48 1.00 0.24 0.60 08 o-o 1.31 53 95. 13. 31-63 33-25 58-38 15.87 0.86 40-0 April 2. 8.34.18-5 139. 26. 51-73 50-81 00-9-2 1.58 1.34 1.21 0.00 28 o-o 2. 15 49 93. 40. 28-40 26-03 62-43 14.17 0.35 38-1 6.11.47.12-8 193. 44. 25-03 18-34 66-69 0.25 2.28 4.18 0.83 54 0-2 2.80 34 89. 3.47-04 38-74 08-30 9.13 0.12 28-3 8. 13. 35. 38-0 223. 1.50-12 48-80 61-32 1.85 2.78 5.77 1.39 43 0-3 2.80 25 86. 38. 40-96 42-09 58-87 6.52 0.31 21-2 10.15.30. 10-1 253. 3.70-03 59-78 70-25 4.76 3.11 7.06 1.49 23 0-4 2.57 17 85. 4.16-32 21-32 55-00 4.83 0.70 14-3 11.16.28.69-7 268. 6.45-60 35-06 70-60 6.49 3.17 7.47 1.33 15 0-5 2.38 14 84. 46. 14-31 12-23 02-08 4.51 0.93 11-7 12.17.27.21-6 283. 2.20-00 15-29 64-71 8.26 3. 16 7.71 1.07 09 0-6 2.15 11 84. 49. 32-81 23-33 09-48 4.59 1.16 9-4 26. 4. 6.51-9 96.58.31-39 19-32 72-07 6.42 0.97 0.63 1.31 16 2-2 0.19 41 95. 10. 43-66 40-66 63-00 15.91 0.92 31-3 29. 6. 26. 34-3 133. 58. 23-80 24-30 59-44 2.25 1.24 0.29 0.46 09 2-8 0.82 51 93. 54. 55-76 50-34 65-42 14.45 0.40 37-6 30. 7.12.34-7 140. 38. 10-38 11-64 58-74 1.23 1.41 0.53 0.20 14 2-9 1.10 52 93. 4. 15-04 12-74 62-30 13.50 0.26 38-9 May 1. 7.58.52-3 159. 36. 46-48 47-49 58-99 0.49 1.62 0.94 0.04 23 3-1 1.39 53 92. 3. 7-55 1-43 66-12 12. 30 0.16 39-8 2. 8.46. 1-7 172.59. 8-40 6-08 62-32 0.09 1.85 1.50 0.01 33 33 1.68 52 90.53. 33-12 26-76 66-36 11.07 0.11 40-0 5. 11. 19. 5-4 215. 54. 53-42 57-48 55-94 1. 19 2.63 3.76 0.66 54 4-0 2.44 46 87.10.59-30 50-28 09-02 6.96 0.26 36-6 6. 12. 17. 56-4 231. 7.16-15 21-40 54-75 2.31 2.86 4.59 0.99 53 4-2 2.62 42 86. 9. 2-48 2-75 59-73 5.84 0.42 33-9 12.18. 8.35-1 322. 16. 56-53 45-60 70-93 11.94 2.82 7.75 0.92 08 5-6 2.52 16 86. 41. 57-99 56-19 61-80 6.63 1.70 13-3 26. 4.21.45-1 129. 15. 12-32 10-49 61-83 3.00 1.15 0.48 1.21 13 9-1 0.02 34 93. 58. 54-79 50-06 64-73 14.66 0.43 23-5 29. 6.37.52-5 167. 7.44-10 40-32 63-87 0.30 1.70 0.37 0.33 11 10-1 0.41 46 91.12.33-91 29-51 64-40 11.50 0.12 32-0 31. 8.12.54-0 194. 9.60-90 52-80 68-16 0.16 2.21 1.17 0.00 27 10-7 0.89 51 88. 49. 65-83 54-96 70-87 8.81 0.13 36-9 June 1. 9. 3.58-0 208. 27. 37-85 33-40 64-45 0.67 2.47 1.78 0.04 38 11-0 1.17 52 87. 39. 13-83 4-48 69-35 7.48 0.21 38-6 3. 10. 56. 7-5 238.39. 0-39 7-27 53-12 2.82 2.93 3.29 0.49 52 11-5 1.76 52 85. 43. 53-78 41-95 71-83 5.32 0.54 40-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7. 02 i. oo 4.00 0*. 70 30 20-8 K \ 1.42 30 60-00 10.2i \ \> 1 00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [153] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. ill III C i- _1 Excess of Observed Longitude. fi w Change for 0='-1 in Argument. Parallactic Inequality. Variation. Change for 0-1 1 in Argument. Annual Equation. Evection. Change for 08-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. r" *r U j* . 1792. d h o / // ft it e \ \\ X % \\ \ s ^ \\ Q I It tt II a > \ \\ > June 14. 20. 53. 0'3 38.39.58-14 52-31 65-83 13.19 1.50 6.95 0.08 24 15-4 2.26 12 93. 9.51-35 53-91 57-44 13.85 1.69 11-5 24. 3.49.32-6 149. 51. 46-50 50-97 55-53 1.45 1.36 0.66 1.33 17 18-6 0.11 21 92. 22. 57-21 56-06 61-15 12.98 0.21 13-5 28. 6. 53. 42-9 202. 8.10-59 1-49 69-10 0.30 2.31 0.51 0.22 14 19-8 0. 12 39 87. 55. 72-21 53-34 78-87 7.91 0. 18 25-2 July 6.14.44. 2'5 325. 6.43-22 36-32 66-90 11.62 2.87 6.12 1.46 39 23-0 2.11 50 87. 19. 40-53 38-30 62-23 7.10 1.75 38-9 24. 4. 3. 3-7 184. 6.39-22 35-07 64-15 0.07 1.89 0.51 1.23 13 28-9 0.38 15 89. 14. 12-74 6-19 66-55 9.51 0.11 8-9 28. 7.23.39-6 239. 30. 22-24 16-10 66-14 2.48 2.88 0.66 0. 12 17 30-1 0.00 31 85. 23. 10-31 0-68 69-63 5.14 0.59 18-7 Aug. 1.11.24.57-2 301.28.36-57 26-10 70-47 9.14 3.12 3.29 0.47 52 31-5 0.53 48 85.51.25-25 22-68 62-57 5.51 1.51 33-1 2. 12. 26. 47-2 317. 12. 43-68 32-55 71-13 10.75 2.99 4.12 0.80 54 31-7 0.77 50 86. 50. 17-23 14-28 62-95 6. 58 1.69 35-9 3. 13. 23. 27-9 332. 37. 49 83 36-01 73-82 12. 10 2.79 4.94 1. 12 51 32-0 1.05 52 88. 2. 4-05 1-80 62-26 7.89 1.82 38-1 4. 14. 17. 14-2 347. 36. 64-3-2 57-92 66-40 13.11 2.56 5.72 1.37 44 32-3 1.34 53 89. 20. 16-07 17-95 58-12 9.33 1.89 39-4 7. 16. 45. 48-5 29. 35. 18-65 8-00 70-65 13. 87 1.78 7.42 1.35 15 33-3 2.17 49 92.57. 5-50 6-52 58-98 13.35 1.75 38-9 23. 4.25.20-4 220. 27. 18-08 5-69 72-39 0.77 2.51 0.37 1. 11 11 37-2 0.78 10 86. 13. 13-01 3-74 69-27 6. 17 0.36 7-4 27. 8. 8.46-2 278. 47. 23-77 24-92 58-85 6.29 3.17 0.87 0.05 22 38-0 0.06 24 84. 54. 30-92 34-40 56-52 4.65 1.21 13-3 28. 9. 8.26-2 294. 5. 36-29 34-09 62-20 8.06 3.16 1.41 0.00 32 38-2 0.00 28 85.25.48-14 56-68 51-46 5.20 1.43 163 30.11. 4.40-3 324. 50. 58-03 56-78 61-85 11.28 2.92 2.83 0.32 49 38-7 0.08 37 87. 24. 25-37 21-41 63-90 7.32 1.7S 23-7 Sep. 1.12.55. 0-1 354.53.50-10 45-18 64-92 13.40 2.46 4.53 0.96 53 39-0 0.37 45 90. 3. 18-56 17-35 61-21 10. 20 1.90 30-9 2.13.46. 6-3 9.21.35-79 30-98 64-81 13.90 2.20 5.34 1.25 48 39-1 0.59 43 91.22.24-25 23-43 60- 62 11.64 1.87 33-7 4. 15. 24. 40-9 36. 58. 46-06 35-40 70-66 13.72 1.69 6.71 1.52 30 39-4 1.12 62 93. 34. 51-25 56-56 54-69 14.06 1.67 38-0 26. 8.62.54-5 318.22.46-44 35-61 70-83 10.37 3.03 1. 13 0.01 26 41-5 0.28 17 86.53.41-21 40-00 61-15 6.90 1.7S 9-4 28. 10. 40. 7-4 347. 56.21-65 12-57 69-08 12. 89 2.62 2.44 0. 19 46 41-6 0.04 25 89.24. 31-95 37-21 54-74 9.65 1.90 14-1 Oct. 23. 6.47.40-2 313. 34. 20-04 12-02 68-02 9.37 3.11 0. 26 0.61 08 40-0 1.45 08 86. 38. 32-82 29-68 63-14 6.63 1.70 9-7 24. 7.41.19-1 3-28. 6. 6-55 1-60 64-95 10.94 2.96 0.48 0.24 13 39-9 1.17 08 87.44.41-68 41-04 60-64 7.87 1.8-2 8-2 27. 10. 12. 59-5 10. 43. 54-34 39-89 74-45 13.81 2.26 2.08 0.09 41 39-5 0.42 14 91. 30. 26-90 29-69 67-21 12. 05 1.85 8-2 28.11. 1.59-0 24.33.32-11 23-63 68-4S 14.01 2.00 2.83 0.30 49 39-4 0.23 18 92. 38. 41-06 43-27 57-79 13. 29 1.76 9-7 29. 11. 50.53-8 38. 9. 28-28 26-34 61-94 13. S2 1.75 3.64 0.61 53 39-2 0. 10 22 93. 36. 29-77 34-93 54-84 14.34 1.62 11-5 29. 11.53. 3-9 38. 10. 37-42 36-97 60-45 13.82 1.75 3.64 0.61 53 39-2 0.10 22 93. 36. 33-50 39-43 54-07 14.34 1.62 11 5 31. 13. 31. 16-2 64.37. 7-75 4-22 63-53 12.41 1.33 5.29 1.23 49 38-7 0.00 31 94.51. 16-88 19-67 57-21 15.68 1.26 16-5 Nov. 1. 14. 20. 20-3 77. 26. 65-36 56-36 69-00 11.28 1.17 6.02 1.44 40 38-6 0. 04 35 95. 5.50-66 51-39 59-27 15.92 1.07 19-4 13. 15. 56. 57-5 102. 26. 55-64 42-40 73-24 8.49 0. 99 7. 19 1.45 21 38-2 0.28 43 94. 49. 58-05 64-44 53-61 15.57 1.68 2.V2 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. < \ 1.42 Sub \\ 30 Sub. 60-00 Sub. 10.21 i Sub. i.oo j Sub. 23-7 2.00 4.00 - GUEENWICH REDUCTIONS. [X] [154] KEDUCTION OF GREENWICH LTTNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. u a M <3 -0 t3 3 Z III C/3 4.1 c . O H- Excess of Observed Longitude. o t; III Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os-1 1 in Argument. ll C sS ' C = < Evection. 1 Change for O'-l I in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. Excess of Ob- 1 served Ecliptic 1 N.P.D. Effect of Mean Inclination. Change for OS-1 1 in Argument. i .2P-* w ^ o < WW 1792. i . Nov. 4. 16. 43. 59-0 / II 114.42.62-07 // 52-77 ti 69-30 s ' 6. 9C 0.97 \ \ 7.56 1.26 \\ 13 38-0 g 0.48 47 o / a 94. 21. 37-2C // 43-73 // 53-53 15.01 \ \ 0.51 \ 28-0 22. 7.20.53-2 352. 17.30-56 19-26 71-30 12. 6C 2.68 0.34 0.37 10 33-8 1.93 09 90. 2.26-68 30-53 56-15 10.37 1.90 13-7 24. 8.57.36-2 19.46.20-29 7-73 72-56 13.94 2.16 1.09 0.01 26 33-0 1.37 08 92.22.21-92 31-85 50-07 13.01 1.78 9-4 25. 9.45.26-4 33. 11. 62-14 44-26 67-88 13.99 ; 1.90 1.68 0.02 36 32-7 1.09 09 93. 20. 28-20 35-56 52-64 14.09 1.66 8-2 Dec. 7.19. 7.42-8 84. 15. 8-77 0-64 68-13 0.48 1.62 7.47 0.27 14 28-9 0.78 50 88. 45. 44-41 37-32 67-09 8.79 0.13 28-7 19. 6.18.13-6 347.51.29-92 29-71 60-21 11.97 2.82 0.38 1.13 11 24-8 2.79 25 89. 55. 19-78 20-03 59-75 10.07 1.90 29-7 20. 6. 8. 0-2 1.57.64-32 58-16 66-16 13.02 2.58 0.24 0.84 07 24-4 2.70 21 91. 9. 23-96 29-20 54-76 11.47 1.88 26-3 21. 6.56.15-8 15.41.67-02 57-75 69-27 13.71 2.33 0.26 0.53 08 24-1 2.55 17 92. 17. 32-54 36-43 56-11 12.78 1.80 22-9 22. 7.43.46-8 29. 6. 73-89 59-37 74-52 14.00 2.06 0.46 0.25 13 23-8 2.35 13 93. 16. 20-59 25-60 54-99 13.89 1.69 19-9 23. 8.31. 7-4 42. 16. 44-34 30-19 74-15 13.90 1.81 0.84 0.06 21 23-5 2.12 11 94. 3.25-75 29-84 55-91 14.80 1.54 17-0 24. 9.18.45-5 55. 13. 39-72 24-94 74-78 13.44 1.57 1.37 0.00 31 22-8 1.86 09 94.37. 4-05 8-10 55-95 15. 45 1.36 14-1 30. 14. 6. 40-3 1793. 29. 59. 54-20 51-34 62-80 5.79 0.99 5.97 1.43 41 20-8 0.32 16 93. 3. 35-75 37-6o 58-10 13.80 0. 30 7-6 Jan. 6. 19. 22. 33'7 18. 45. 18-46 6-53 71-93 0.16 2.22 7.31 0.17 17 18-1 0.38 45 85. 59. 24-84 21-91 62-93 5.80 0.43 21-4 18. 5.40.52-1 24.40.56-16 44-01 72-15 13.87 2.23 0.30 1.00 09 13-9 2.82 33 93. 12.51-19 55-16 56-03 13.66 1.72 35-2 21. 8. 4. 30-8 64. 1.50-94 46-14 64-80 13.17 1.49 0.60 0.15 16 13-0 2.66 19 95. 2.16-60 20-02 56-58 15.78 1.21 27-3 25. 11. 15. 32-6 13.41.46-44 40-19 66-25 8.28 0.99 3. 12 0.42 51 11-5 1.79 09 94. 3.52-78 52-75 60-03 14. 82 0.47 15-9 26.12. 1.55-9 25. 54. 57-90 56-02 61-88 6.74 0.97 3.94 0.74 54 11-2 1.51 08 93. 17. 56-58 50-03 66-55 13.99 0.32 13-3 28.13.33.51-1 50.21.46-76 49-85 56-91 3.79 1.08 5.56 1.33 46 10-6 0.95 09 91. 20. 36-59 34-92 61-67 1.1.87 0. 14 9-7 30. 15. 1. 5-9 75. 2. 30-06 31-72 58-34 1.43 1.37 6.87 1.51 26 10-0 0.46 14 89. 6.48-15 46-95 61-20 9.42 0. 11 7-7 Feb. 1. 16. 29. 46-9 00. 25. 26-57 22-05 64-52 0.15 1. 80 7.64 1.16 10 9-2 0.13 21 86. 59. 13-21 9-66 63-55 7.05 0.25 7-7 14. 3.31.41-0 18.36.37-96 0-53 67-43 13.57 2.39 1.25 1.46 28 5-9 2.07 50 92. 54. 58-63 58-83 59-80 13.28 1.76 39-4 16. 5.11.14-2 46. 18. 58-91 57-66 61-25 13.96 1.87 0.40 1.15 11 5-2 2.52 44 94.37.29-85 34-86 54-99 15.18 1.45 39-8 18. 6.48.41-0 72. 21. 42-72 5-64 67-08 12.86 1.42 0.26 0.55 08 4-8 2.78 36 95. 16. 13-00 16-68 56-32 15.92 1.06 37-9 19. 7.36.58-8 84. 56. 14-26 6-10 58-16 11.85 1.24 0.44 0.26 12 4-6 2.83 31 95.12. 4-28 1-95 62-33 15.86 0.86 36-1 20. 8.24.54-4 97. 19. 25-41 0-15 65-26 10.61 1.11 0.81 0.07 20 4-4 2.82 27 94. 53. 15-23 15-24 59-99 15.54 0.67 34-1 21. 9. 12. 15-0 09. 35. 10-81 3-99 66-82 9.21 1.02 1.33 0.00 30 4-2 2.75 22 94. 21. 14-17 12-14 62-03 14.98 0.50 31-8 22. 9. 58. 49-9 21.47.23-22 15-49 67-73 7.70 0.98 1.98 0.07 40 4-0 2.63 18 93. 37. 25-76 25-17 60-59 4.19 0.35 29-2 26. 12. 59. 40-5 71. 1.25-26 28-94 56-32 2.06 1.26 5.17 1.20 49 3-0 1.72 09 89.26.35-40 32-43 62-97 9.67 0. 10 17-7 27. 13. 43. 43-7 83. 37. 43-85 45-85 58-00 1.09 1.44 5.92 1.42 42 2-9 1.44 08 88. 18. 17-61 15-16 62-45 8.43 ). 14 15-0 Sub. 60-00 Sub. e \ 7.02 Sub. Sub. Sub. 0. 7 >ub. 30 Sub. 20-8 Sub. \ 1.42 Sub. 30 Sub. 60-00 Sub. e \ 0.21 Sub. I. 00 Sub. 23'7 2. 00 4. 00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [155] 1 Greenwich Mean Solar Time Observation of Moon's Limb. Longitude of Moon's Center from Observation. ill o .^ 4 50 * ,3 Excess of Observed Longitude. Elliptic Inequality. Change for Oe-1 in Argument. Parallactic Inequality. Variation. Change for 03-1 in Argument. Annual Equation. Evection. Change for 05- ] in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. W > *& X - W I Effect of Mean Inrlinatinn. Change for OB- 1 in Argument. e . |Z ww 1793. " h m ! Feb. 28.14.28.27-3 O I 11 196. 25. 33-83 37-20 it 56-57 g * 0.40 1.51 o / '/ 87. 13. 58-93 * 59-65 t 59-28 7.27 \ u 0.23 12-6 1.66 6.58 32 2-7 1.15 08 Mar. 2.10. 2.20-8 222. 45. 46-70 44-02 62-14 0.10 2.16 7.51 1. 30 14 2-4 0.63 12 85. 30. 54-94 56-90 57-98 5.40 0.52 9-0 3. 16. 52. 37-2 230.23. 0-08 1-98 64-10 0.53 2.42 7.73 1.03 09 2-1 0.41 14 84. 58. 45-14 40-21 64-93 4.81 0.71 7-9 19. 6. 19. 15-2 92. 40. 23-59 28-24 55-35 11.41 1.19 0.22 0.71 07 0-3 2.37 47 95. 1.57-23 61-03 56-20 15.65 0.72 39-8 21. 7.54.17-2 117. 19.39-56 43-11 56-45 8.64 1.00 0.67 0. 16 16 0-2 2.71 39 93. 54. 30-67 24-13 66-54 14.41 0.39 39-7 23. 9.25.26-5 141. 43. 33-12 33-20 59-92 5.59 0.99 1.59 0.02 35 o-i 2.83 30 92. 5.28-82 20-92 67-90 12.42 0.17 37-6 29. 13. 59. 33-8 218. 32. 12-36 8-34 64-02 0.03 1.99 6.22 1.48 37 o-o 1.93 09 85. 46. 49-90 49-61 60-29 5.55 0.48 21-9 ISO. 14. 49. 36-3 232. 11.48-55 40-75 67-80 0.21 2.26 6.83 1.51 27 o-o 1.65 08 85. 10. 13-73 12-48 61-25 4.90 0.67 18-7 April 16. 4. 59. 48-4 99. 58. 40-02 42-33 57-69 10.94 1.14 0.42 1.17 12 0-9 1.37 53 94. 39. 18-35 23-60 54-75 15.32 0.59 32-4 18. 6.34.33-7 124. 40. 49-48 49-01 59-87 8.08 0.98 0.25 0.57 08 1-1 1.94 51 93. 17. 18-06 17-57 00-49 13.76 0.29 36-6 19. 7.20. 3-8 136.52.32-11 30-54 61-57 6.54 0.97 0.42 0.28 12 1-3 2.20 49 92.22. 9-23 8-13 61-10 12.73 0.19 38-2 20. 8. 4.37-0 149. 5.31-34 37-26 54-08 5.02 1.01 0.78 0.08 20 1-4 2.43 46 91. 20. 32-20 25-39 66-81 11.58 0.12 39-3 21. 8.48.40-7 161.25.51-26 47-75 63-51 3.61 1.09 1.29 0.00 29 1-5 2.61 42 90. 14. 37-05 29-16 67-89 10.35 0.10 39-9 22. 9.32.45-4 173.58.12-75 3-09 69-00 2.34 1.22 1.93 0.06 39 1-6 2.74 38 89. 6.65-99 56-28 69-71 9.10 0. 12 40-0 123. 10. 17. 26-6 186. 40. 34-08 32-18 01-90 1.30 1.39 2.66 0.25 48 1-7 2.81 34 88. 0.58-49 47-21 71-28 7.87 0.18 39-5 29. 15. 28. 0-6 270. 13.32-90 17-10 75-86 2.22 2.84 7.09 1.48 22 2-8 2.11 11 85. 7.28-04 26-49 61-55 4.77 1.28 25-2 May 2. 18. 18. 40'7 314. 10.28-84 30-93 57-91 7.03 3.18 7.77 0.73 07 3-3 1.28 08 87.31.52-79 52-06 60-73 7.53 1.80 15-0 4.20. 5.58-1 343.32.54-10 63-03 51-07 10.42 3.02 7.34 0.19 17 3-8 0.74 11 90. 2. 7-74 8-98 58-76 10.37 1.90 10-0 5.20.57.31-1 358. 5.11-24 14-58 56-06 11.82 2.84 6.87 0.07 26 4-0 0.50 13 91. 18.53-10 53-58 59-52 11.80 1.8*7 8-4 19. 7. 26. 31-0 168. 37. 30-87 27-21 63-60 3. 10 1.14 0.65 0.18 15 7-0 1.73 52 89. 23. 54-48 47-26 67-22 9.48 0.11 32-7 20. 8. 10. 22-8 181. 11.32-86 30-44 02-42 1.92 1. 28 0.97 0.03 24 7-5 2.01 51 88. 18.65-16 55-04 70-12 8.26 0.15 35-0 21. 8.55.10-5 194. 4. 51-50 46-91 64-59 0.98 1.47 1.55 0.01 34 7-8 2.26 48 87.17.55-99 40-01 75-98 7.10 0.25 37-0 23. 10. 31. 5-3 221. 4. 7-49 11-67 55-82 0.04 1.93 3.00 0.38 51 8-3 2.65 41 85. 39. 61-82 52-40 69-42 5.26 0.55 39-6 24.11.23.10-7 235. 12. 52-84 51-44 01-40 0. 13 2.19 3.82 0.69 54 8-5 2.76 37 85. 10. 52-44 45-65 66-79 4.71 0.76 40-0 25.12.20.37-3 249. 46. 19-04 13-87 65-17 0. 62 2.40 4.65 1.02 52 8-8 2.82 32 84. 59. 20-73 19-13 61-60 4.50 0.98 39-6 26.13.18. 18-7 204. 36. 28-95 18-60 70-35 1.49 2.70 5.45 1.30 47 9-1 2.83 28 85. 7.39-23 40-52 58-71 4.66 1.21 38-4 27. 14.17.25-3 279.37.21-35 11-84 69-51 2.73 2. 92 6.22 1.48 38 9-3 2.77 23 85.36. 5-46 8-42 57-03 5.20 1.43 36-6 28. 15. 16. 31-9 294. 41. 18-66 7-66 71-00 4.24 3.08 6.83 1.51 27 9-9 2.66 19 86.23. 1-29 1-84 59-45 6.09 1.62 34-1 31. 18. 3. 27-6 339. 12. 44-56 43-16 61-40 9.43 3.10 7.76 0.89 08 10-7 2.04 10 89. 53. 12-28 17-50 54-78 10.07 1.90 24-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 \ \\ 2.00 4. 00 g > 0.70 30 20-8 e \ 1.42 \\ 30 00-00 g \ 10.21 X \\ 1.00 23-7 - [X]2 [156] REDUCTION OF GREENWICH LUNAK OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Lonzitude of Moon's Center from Observation. . 1J2 \\\ Excess of Observed Longitude. o ^ '~ < Change for 0="1 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. 1 Annual Equation. Evection. Change for 0?-1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. lp 1 Effect of Mean Inclination. Change for OS-I 1 in Argument. .2 o ^ ^ g z WW 1793. II // ir s v \ \v \ \\ g v \\ V e O 1 II ii It g % V v\ X Aug. 24. 15. 9. 43-8 21.11. 0-46 3-96 56-50 12.44 2.73 6.49 1.51 33 37-4 2.22 49 93. 45. 49-02 54-15 54-87 14.27 1.63 36-1 25.16. 1.39-8 35. 45. 48-33 46-74 61-59 13.35 2.48 7.06 1.49 23 37-6 2.44 46 94. 34. 52-97 58-56 54-41 15.15 1.45 38-0 26.16.52.51-5 49. 51. 33-74 28-48 65-26 13.87 2. 22 7.47 1.33 15 37-8 2.62 42 95. 5. 31-74 36-97 54-77 15.71 1.25 39-4 Sep. 16. 9. 6. 0-8 311.12.16-26 9-11 67-15 a. os 3.13 1.50 0.01 33 40-9 0.09 38 87.47. 6-34 12-00 54-34 7.90 1.82 8-8 20. 12. 54. 20-7 13. 29. 12-81 15-06 57-75 11.68 2.86 4.59 0.99 53 41-2 0.89 51 93.12.29-31 30-28 59-03 13.80 1.70 20-2 23. 15. 33. 59-8 57.42. 3-51 3-39 60-12 13.97 2.12 6.75 1.52 29 41-4 1.76 52 95. 11.28-85 34-90 53-95 15.89 1.11 30-6 24.16.26. 5-1 71.28.49-19 49-22 59-97 13.96 1.86 7.25 1.43 19 4V5 2.04 50 95.13. 2-42 5-33 57-09 15.89 0.89 33-5 Oct. 13. 6.55.21-7 305. 10. 56-73 55-07 61-66 4.05 3.06 0.37 0.33 11 41-2 0.25 17 87.25.28-42 25-50 62-92 7.49 1.79 10-8 14. 7.51.37-8 320. 0. 10-73 16-83 53-90 5.73 3.16 0.69 0.11 18 41-0 0.11 21 88. 39. 25-83 25-76 60-07 8.88 1.88 8-9 16. 9.41.57-7 350. 16. 56-98 58-01 58-97 9.23 3.11 1.78 0.04 38 40-9 0.00 30 91.21.11-99 19-15 52-84 11.88 1.86 7-4 17.10.36. 3-7 5. 34. 29-50 32-09 57-41 10. 82 2.98 2.49 0.21 47 40-8 0.03 35 92. 36. 52-94 57-57 55-37 13.28 1.76 7-9 20. 13. 19. 28-4 50.37. 8-36 9-17 59-19 13.78 2.29 5.00 1.13 51 40-5 0.46 47 94. 57. 17-35 18-76 58-59 15.80 1.19 13-9 27. 19. 10. 18-3 142.22.51-90 50-46 61-44 8.59 1.00 7.67 0.47 09 39-5 2.34 47 91. 2.41-40 36-59 64-81 11.24 0.11 34-3 29.20.37.23-8 166. 42. 12-73 8-64 64-09 5.54 0.99 6.95 0.08 24 39-1 2.69 40 88. 53. 27-33 14-22 73-11 8.82 0.13 37-9 Nov. 9. 4.51. 1-3 300. 43. 29-65 21-67 67-98 3.11 2.97 0.35 1.10 10 37-0 1.40 08 87.19.11-43 5-38 66-05 7.24 1.77 25-5 10. 5.46.29-9 315. 12.61-85 52-28 69-57 4.68 3.11 0.23 0.80 07 36-8 1.12 08 88. 28. 46-48 41-32 65-16 8.55 1.86 21-9 14. 9. 18. 23-0 14. 6. 10-96 8-01 62-95 11.36 2.91 1.46 0.00 32 35-7 0.21 18 93. 20. 21-18 28-50 52-68 14.07 1.66 10-1 17. 11.56.34-7 57.59.47-15 37-73 69-42 13.91 2. 19 3.70 0.64 54 35-0 0.00 32 94. 59. 43-55 44-95 58-60 15.92 1.06 7-5 17.11.58.50-7 58. 0.62-17 55-84 66-33 13. 92 2. 18 3.70 0.64 54 35-0 0. 00 32 94. 59. 42-80 45-40 57-40 15. 92 1.06 7-5 18. 12. 52. 30-0 72. 9.40-37 36-10 64-27 14.00 1.92 4.53 0.97 53 34-8 0.05 36 94. 55. 37-04 40-97 56-07 15.84 0.83 8-1 19. 13. 45. 54-4 85. 56. 21-59 11-88 69-71 13.69 1.68 5.34 1.26 48 34-5 0.16 40 94. 34. 14-97 16-31 58-66 15.42 0.63 9-3 21.15.29. 2-7 112.18.36-17 23-21 72-96 12.09 1.28 6.71 1.52 29 34-0 0.52 48 93. 10. 19-80 23-20 56-60 13. 83 0.30 13-3 22. 16. 17. 43-2 124. 57. 32-09 21-71 70-38 10.90 1.13 7.22 1.44 19 33-5 0.77 50 92. 14. 14-65 14-80 59-85 12. 76 0.19 15-6 26. 19. 15. 4-4 173. 53. 7-63 4-07 63-56 4.98 1.01 7.58 0.35 12 32-4 1.90 51 88. 2.43-66 38-44 65-22 8.00 0. 17 26-8 Dec. 9. 5.31.21-8 340. 7. 28-50 23-36 65-14 7.08 3.18 0. 28 0.96 08 28-3 1.88 09 90.55.29-15 29-58 59-57 11.17 1.89 31-3 11. 7. 14. 7-6 9. 12. 44-54 36-70 67-84 10.46 3.02 0.35 0.35 11 27-7 1.32 08 93. 13. 59-33 64-24 55-09 13.80 1.70 24-5 13. 8.55.31-5 37.57. 7-99 7-70 60-29 12.94 2.61 1.17 0.01 27 27-0 0.78 10 94. 42. 15-12 20-92 54-20 15.51 1.34 17-7 16.11.32.21-1 79. 54. 42-49 24-95 77-54 13.93 1.83 3.29 0.47 52 25-8 0.17 20 94.43.12-17 13-21 5896 15. 60 0.70 10-0 18. 13. 19. 2-2 106. 36. 48-53 35-50 73-03 12.71 1.39 4.94 1.12 51 25-1 0.01 28 93. 23. 48-83 48-96 59-87 14.15 0.35 7-7 Sub. 60 : 00 Sub. 7.02 Sub. Sub. Sub. Sub. Sub. 20-8 Sub. a \ 1.42 Sub. \\ 30 Sub. 60-00 Sub. s \ 10. 21 Sub. 1. 00 Sub. 23-7 2.00 4.00 0.76 30 \ [158] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. s-Sl .3.* u .* (a <8 C nJ Excess of Observed Longitude. . !f1 Hj Change forOs-l 1 in Argument. Parallactic Inequality. Variation, Change for OB- 1 in Argument. Annual Equation. Erection. 1 Change for fls-1 I in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. c'iL U-|"C I** ll* HX 1 Effect of Mean Inclination. 1 Cbiinge for 0?'l 1 in Argument, i ^ .SP. Iz > . -- 1793. Dec. 19. 14. 9. 6'6 O t It 119.29.41-65 tf 27-80 // 73-85 * v 11.66 \ 1.22 \ \\ 5.72 e 1.3" 44 24-8 a % 0.01 33 92.28. 3-51 n 3-6G 59-85 IS v 13. 12 0.22 7'4 21.15.43. 1-9 144. 27. 29-02 13-93 75-09 8.96 1.01 6.98 1.50 25 24-1 0. 1 41 90. 20. 47-64 47-11 60-53 10. 75 0.10 8-6 1794. Jan. 7. 5.11.49-6 4. 50. 13-92 5-54 68-38 9.47 3. 10 0.37 1.11 10 18-1 2.52 16 93. 9.11-52 16-68 54-84 13.57 1.73 38-0 8. 6. 2.38-9 19.21.28-76 19-50 69-26 11. 02 2.95 0.24 0.81 07 17-5 2.32 13 94. 5.13-65 19-9* 53-68 11. 63 1.57 36-1 9. 6.53. 0-6 33. 37. 68-21 58-Ofl 70-15 12.31 2.75 0.27 0.60 08 17-1 2.08 10 94. 44. 57-98 67-49 50-49 15.38 1.38 33-5 10. 7.43.31-3 47. 40. 30-35 20-7U 69-56 13. 26 2.51 0.48 0.23 14 16-8 1.81 09 95. 0.58-71 63'8( 54-91 15. 82 1.17 30-6 16. 12. 50. 38-7 127. 6.54-55 43-53 71-02 11.20 1.16 4.47 0.95 53 14-6 0.28 17 91.46.39-56 37-16 62-40 12.30 0.16 12-9 17.13. 37.29-1 139.34.41-25 34-88 66-37 9. 86 1.05 5.29 1,25 48 14-2 0.13 21 90. 40. 18-31 15-65 62-66 11.09 0.11 10-8 25. 19. 30. 24-0 239. 9.51-86 36-05 75-81 0.17 1.78 7.25 0.15 18 11-5 0.90 51 84. 44. 13-81 10-92 62-89 4.50 1.02 12-2 Feb. 4. 3.56.49-8 14. 6. 19-40 12-16 67-24 10.09 3.05 0.90 1.42 22 8-6 2.83 32 93. 53. 36-48 36-40 60-08 14.38 1.62 39-1 8. 7.23. 8-3 70. 58. 23-66 15-57 68-09 13.95 2.15 0.35 0. 36 10 7-3 2.47 15 95. 8. 14-45 14-34 60-11 15.77 0.79 37-9 9. 8. 14. 29-5 84. 18. 13-33 6-07 67-26 13.98 1.89 0.66 0.13 17 7-1 2.25 12 94. 42. 12-29 9-68 62-61 15.31 0.59 36-1 10. 9. 5.27-8 97. 20. 64-79 54-66 70-13 13.63 1.65 1.13 0.01 26 6-8 2.01 10 94. 1.57-08 54-09 6-2-99 14.58 0.42 33-9 Mar. 5. 3.31.10-0 37. 21. 23-46 25-66 57-80 12.03 2.80 1.21 1.46 27 1-9 2.55 43 94. 58. 28-82 23-27 65-55 15.64 1.28 33-3 7. 5. 17. 36-0 66. 14. 23-14 18-40 64-74 3.73 2.31 0.38 1.13 11 1-7 2.80 35 95. 11.43-40 46-43 56-97 15.84 0.84 37-9 9. 7. 1.57-9 93. 14. 34-94 27-66 67-28 13.89 1.79 0.26 0.51 08 1-4 2.81 26 94. 14. 4-31 5-33 58-98 14.75 0.45 39-9 11. 8.41.44-4 118.47.50-55 41-04 69-51 12.58 1.36 0.84 0.06 21 1-1 2.60 18 92. 28. 14-08 6-67 67-41 12.80 0.20 39-5 13. 10. 14. 53-4 43. 28. 60-38 47-76 72-62 0.21 1.08 2.03 0.09 41 0-9 2.19 11 90. 17. 68-38 59-15 69-23 10.41 0.10 37-0 16. 12. 26. 25-2 79. 59. 59-29 59-64 59-65 5.71 0.99 4.42 0.93 53 0-6 1.38 08 87. 7.41-29 37-40 63-89 6.96 ). 26 30-4 19. 14. 34. 42-1 16. 58. 20-65 16-99 63-66 1.74 1.31 6.63 1.52 31 0-3 0.59 12 85. 5.47-24 48-32 58-92 4.78 0.72 21-9 April 5. 4.54.13-1 88. 7.18-78 12-97 65-81 4.01 1.95 0.53 1.26 14 0-1 2.41 46 94. 20. 10-75 8-57 62-18 14.97 0.50 30-2 8. 7.26. 1-7 27. 2.43-34 37-66 65-68 2.20 1.29 0.34 0.38 10 0-2 2.81 34 91. 37. 53-96 46-77 67-19 11.90 0.14 37-2 11. 9. 40. 24-4 63. 44. 35-94 22-70 73-24 8. 19 0.98 1.68 0.02 36 0-5 2.70 21 88. 23. 42-91 32-87 70-04 8.27 0. 15 40-0 12.10.22.47-5 75. 53. 14-89 5-65 69-24 6.66 0.97 2.38 0.17 45 0-5 2.55 17 87. 24. 43-20 28-21 74-99 7.18 0.24 39-9 15.12.32.54-2 12. 55. 33-62 26-78 66-84 1 2.43 1.21 4.89 1.07 52 0-8 1.87 09 85.18.18-65 18-45 60-20 4.87 0.68 36-6 16.13.17.52-6 25. 34. 44-68 0-66 64-02 1.37 1.38 5. 62 1 1.34 45 0-9 1.60 08 85. 0.27-07 25-32 61-75 4.55 0.87 34-7 17.14. 4.49-5 38. 25. 45'63 35-3-i 70-28 0.59 1.58 6.31 1.49 36 1-0 1.31 08 84. 57. 14-72 18-63 56-09 4.52 1.08 32-2 18. 14. 53. 58-8 51.29.22-53 17-51 65-02 0. 13 1.82 6.91 1.51 26 1-2 1.03 09 85. 9.46-56 49-08 57-48 4.77 1.28 29-5 20. 16. 38. 35-8 278. 19. 54-20 57-77 56-43 0.35 2.34 7.65 1.15 10 1-4 0.53 13 86. 21. 32-55 31-12 61-43 6.15 1.63 22-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7. 02 2. 00 v \\ 4.00; t \ 0.76 30 20-8 f \ 1. 42 30 eo'-oo t \ 10.21 \ u ' 1.00 23-7 - SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [159] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 111 8-S-s J8j ^ Excess of Observed Longitude. it !s-1 Hf Change for OK- 1 I in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. Annual Equation. EvecKon. Change for 0?- 1 in Argument. | Ecliptic N. P. D. of Boon's Center from Observation. :_ 11* *: T i.H 3 0. . S^G &. S Z II Effect of Mean Inclination. Change for O'"l 1 in Argument. Evection in E.N.P.D. 1794. d h ra s April 23. 19. 23. 20'0 o / // 320. 46. 42-66 ft 38-37 if 64-29 * * 3.51 % 3.01 \ u 7.47 ,' ' 0.27 w 14 1-7 i ' 0.06 u 24 o / // 89. 42. 12-86 u 13-00 // 59-86 g * 9.96 \ >\ 1.90 t 13-5 24.20.18. 0-9 335. 35. 19-72 7-81 71-91 5.13 3.13 7.06 0.10 22 1-9 0.00 28 91. 0.37-95 36-93 61-02 11.44 1.88 11-0 May 9. 8.20.11-8 171.29. 6-31 442 61-89 7.62 0.97 0.81 0.07 21 4-6 2.76 37 87.34.59-15 44-37 74-78 7.44 0.21 33-7 10. 9. 2. 16-5 183.39. 49-12 42-55 66-57 6.08 0.98 1.33 0.00 30 4-8 2.82 33 86. 42. 18-72 5-72 73-00 6.44 0.33 35-8 11. 9.44.29-5 195. 56. 58-33 47-39 70-94 4.59 1.03 1.98 0.07 40 5-0 2.83 28 85. 58. 30-37 16-08 74-29 5.61 0.47 37-6 12. 10. 27. 33-5 208. 24. 14-97 2-93 72-04 3.21 1.13 2.71 0.28 48 5-4 2.78 24 85.25.34-01 23-49 70-52 4.99 0.64 38-9 13. 11. 12. 8-1 221. 4.20-23 4-86 75-37 2.01 1.27 3.52 0.57 53 5-6 2.67 20 85. 5.35-93 26-74 69-19 4.60 0.83 39-7 15.12.49.51-2 247. 8.50-20 36-34 73-86 0.37 1.67 5.17 1.21 49 6-1 2.31 13 85. 10. 25-88 22-84 63-04 4.69 1.23 39-7 16.13.41.22-7 260. 32. 19-40 6-05 73-35 0.05 1.91 5.92 1.42 41 6-3 2.07 10 85. 36. 41-86 41-40 60-46 5.18 1.43 38-8 22.19. 5.42-4 345. 16. 26-71 36-84 49-87) 5.79 3.16 7.61 0,40 11 8-0 0.46 14 92. 3.42-55 35-71 (66'84) 12.60 1.83 22-4 June 2. 3. 59. 53'7 129. 22. 36-54 29-06 67-48 12.45 1.34 0.97 1.43 23 11-0 0.93 51 90. 56. 47-93 40-70 67-23 11.39 0.12 10-8 8. 8.22.50-9 203. 26. 17-09 12-11 64-98 4.05 1.06 1.05 0.02 25 13-0 2.51 44 85. 26. 69-55 57-45 72-10 5.14 0.59 26-3 10. 9. 52. 16-4 228. 48. 26-88 21-80 65-08 1.61 1.33 2.33 0.15 44 13-6 2.78 36 84. 55. 39-80 32-49 67-31 4.50 0.97 32-0 11. 10.40.31-6 241.55.59-77 54-13 65-64 0.75 1.63 3.12 0.41 51 13-9 2.83 32 85. 2.41-72 35-05 66-67 4.60 1.17 34-5 12.11.31.34-5 255. 22. 52-06 35-09 76-97 0.21 1.76 3.94 0.72 54 14-5 2.82 27 85.26. 5-54 2-74 62-80 5.01 1.37 36-6 14. 13. 22. 58-9 283. 9.68-40 53-58 74-82 0.24 2.27 5.56 1.32 46 15-1 2.63 19 87. 0.41-67 24-11 77-56 6.73 1.71 39-5 15. 14. 19. 14-1 297. 23. 76-71 54-77 81-94 0.85 2.54 6.27 1.49 37 15-4 2.46 15 88. 7. 3-38 2-86 60-52 7.96 1.83 40-0 16. 15. 15. 6-9 311.47.53-05 37-85 75-20 1.83 2.77 6.87 1.51 27 15-7 2.24 12 89.21.47-48 46-34 61-14 9.35 1.89 39-7 21. 19. 37. 36-9 24. 55. 53-70 63-61 50-09 9.91 3.07 7.49 0.28 14 17-6 0.83 10 94.41.55-63 53-83 61-80 15. 39 1.38 28-5 July 3. 4.53.56-1 173. 55. 66-87 32-6-2 (94'25) 7.98 0.98 0.42 1.1C 11 21-4 0.73 50 86. 57. 38-40 35-31 (63-09 6.98 0.26 8-3 4. 5.35.53-7 186. 6.60-00 51-78 68-28 6.46 0.97 0.25 0.87 08 21-8 1.00 52 86. 8. 1-04 5-20 56-44 6.05 0.38 9-6 5. 6. 17. 49-0 198.20.50-55 27-05 83-50 4.95 1.01 0.25 0.56 08 22-4 1.28 53 85. 28. 65-63 58-25 67-38 5.32 0.54 11-2 7. 7.44.45-7 223.17. 9-24 2-13 67-11 2.28 1.23 0.78 0.08 20 23-0 1.8f 51 84. 48. 53-4( 38-74 74-72 4.53 0.90 15-6 8. 8.31.22-9 236. 10. 10-98 7-85 63-14 1.25 1.40 1.29 0.00 29 233 2.12 50 84. 50. 40-45 31-01 69-44 4.54 1.11 18-4 9. 9. 20. 53-9 249.24.60-18 52-51 67-67 0.50 1.61 1.93 0.06 40 23-7 2. 3fl 47 85. 8.49-02 41-85 67-1" 4.8-1 1.31 21-4 10. 10. 13. 28-1 263. 3.14-95 10-41 64-54 0.10 1.85 2.66 0.26 48 24-0 2.56 43 85. 43. 44-34 39-36 64-98 5.4C 1.50 24-7 11.11. 8.45-2 277. 4.64-30 54-20 70-04 0.06 2.11 3.46 0.55 53 24-3 2.7 39 86. 34. 52-92 48-84 64-08 6. 3 1.67 28-0 12.12. 5.49-2 12. 12. 8. 10-3 291.27.54-65 291. 29. 13-33 41-07 3-34 73-58 69-9! 0.42 0.42 2.37 2.37 4.30 4.30 0.88 0.89 54 54 24-6 24-6 2.80 2.80 35 35 87. 40. 17-5C 87. 40. 14-7C 7-72 14-4S1 69-78 60-2 7. 5f I 7. 5(j 1.80 1.80 31-3 31-3 Sub. Sub. Sub Sub. , Sub. Sub Sub. Sub Sub Sub. Sub. Sub. Sub. 60-00 7.0-2 2. 00 V 4.00 6.76 30 20-8 1.4" 30 60-00 t \ 10.21 \ \\ 1.00 23-7 1794. May 22. The Quadrant Observation is marked " doubtful to 10". " [160] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular T -f i fill ^ " "fc wo 1 "o 1 " j 5 f Change for 0?-1 1 in Argument. Parallactic Inequality. Variation. 1 Change for OB- 1 1 in Argument. ~- c 5 'ce C ~ ^ ^ Evection. Change for OS'l in Argument. Ecliptic N.P.D. of Moon's Center from Observation. j Seconds of Tabular Ecliptic! N.P.D. J..2 u. Effect of Mean Inclination. Change for Os-1 1 in Argument. Evection in E. N. P. D. 1794. *:'**.* July 13. 13. 5. 43-S Q t It 306. 8.48-1" n J 38-Of a ) 70-01 s v 1 1. If 2.6 5.1 1.1 50 25-2 s 2.8 30 / // 88.56. 5-OS 3-62 II 62-06 s v 8.94 1.8S \ 34-3 14.14. 2.32-5 320. 59. 37-8C 1 29-4C i 68-34 2.31 2.8 5.9 \ 1.41 42 25-6 2.8 26 90. 17. 12-9C t 15'8 57-04 10.41 1.9C 36-7 15. 14. 57. 50-5 335. 55. 65-4 58-7' 66-03 3.74 3.0 6.5 1.5 32 25-9 2.7 21 91. 37. &3-G1 54-25 59-42 11. SS 1.86 38-6 16. 15. 51. 27-1 350. 52. 66-2 58-4S 67-78 5. 3S 3.1 7.1 1.4- 22 26-2 2.5 18 92. 51. 58-4 1 ; 58-36 60-11 13.25 1.76 39-7 19. 18. 26. 35-1 35. 10. 26-7 44-11 42-62 10.50 3.0 7.7 0.7 07 27-1 1.92 09 95. 7.33-90 40-68 53-22 15.78 1.21 38-2 20. 19. 18. 34-6 49. 37. 43-6 53-20 50-47 11.88 2.83 7.6 0.41 10 27-7 1.6 08 95. 15. 15-68 14-44 61-24 15.93 0.98 36-3 Aug. 4. 6.23.15-4 230. 35. 24-6 15-25 69-36 1.86 1.29 0.3 0. 42 09 32-0 0.79 50 84. 43. 10-58 0-98 09-60 4.50 1.04 7-7 7. 8.54. 6-2 270.21.19-17 5-97 73-20 0.04 1.94 1.5 0.01 34 33-1 1.65 52 86. 6. 3-17 1-14 62-03 6.00 1.61 12-0 8. 9.50. 4-4 284. 29. 14-50 10-72 63-78 0. 15 2.21 2.2 0.14 44 33-3 1.93 51 87. 5.31-90 30-04 61-86 7.08 1.75 14-8 9. 10. 47. 45-5 299. 4. 10-79 1-86 68-93 0.66 2.47 3.06 0.39 51 33-6 2. 19 49 88. 17. 62-08 59-55 62-53 8.39 1.85 18-0 10.11.45.53-1 314. 1.63-54 52-30 71-24 1.57 2. 72 3.88 0. 71 54 33-8 2.42 46 89. 39. 23-86 15-29 68-57 9.86 1.90 21-4 12. 13.41.41-4 344.41.30-90 27-89 63-01 4.34 3.08 5.5 1.31 40 34-6 2.74 38 92. 23. 56-49 59-40 57-09 12.84 1.80 28-7 13. 14. 36. 15-1 0. 5. 39-83 33-36 66-47 6.03 3.17 6:22 1.48 37 34-8 2.81 34 93. 33. 53-20 58-76 54-44 14.00 1.66 32-2 14. 15. 29. 39-2 15. 22. 32-30 25-62 66-68 7.81 3.17 6.83 1.51 27 35-0 2.83 29 94.28. 4-42 8-93 55-49 15.07 1.47 35-2 15. 16. 22. 26-3 30. 25. 60-67 51-39 69-28 9.52 3. 10 7.31 1.40 18 35-3 2.79 25 95. 2.53-14 58-25 54-89 15.69 .26 37-5 17.18. 8. 8-9 59. 37. 27-45 19-14 68-31 12.34 2.74 7.76 0.88 07 35-7 2.54 17 95.10.34-48 32-13 62-35 15. 80 0.81 39-9 Sep. 2. 5. 51. 19-0 251. 2. 15-03 12-16 62-87 0.66 1.56 0.25 0.58 08 39-0 0.21 42 85. 11. 9-07 3-47 65-60 5.01 .37 9-2 3. 6.41.56-2 264. 10.32-38 22-94 69-44 0.16 1.79 0.40 0.29 12 39-1 0.39 45 85.47. 6-71 3-78 62-93 5.70 .55 8-1 4. 7. 35. 17-8 277. 44. 22-77 13-73 69-04 0.03 2.04 0.75 0.09 19 39-3 0.61 48 86.38. 7-93 7-07 60-86 6.65 .70 7-5 10. 13. 16. 50-0 8. 16. 36-29 36-14 60-15 6.70 3.18 5.11 1.18 50 40-2 2.26 48 94. 2. 24-00 23-12 60-88 14.75 .55 18-9 14. 16. 56. 4-9 69. 1.46-57 48-42 58-15 2.75 2.65 7.49 1.31 14 40-7 2.83 32 94. 49. 53-08 57-00 55-48 15.47 0.64 33-1 16. 18. 44. 27-9 96. 49. 12-69 7-89J 64-80 13.96 2.14 7.77 0.73 07 40-9 2.77 23 93. 22. 38-03 38-04 59-99 13.80 0.30 37-7 Oct. 3. 7. 13. 50-2 299. 34. 53-87 46-10 67-71 0.50 2.41 0.55 0.18 15 41-6 0.11 39 88.31.44-66 43-83 60-83 8.72 1.87 11-5 4. 8. 9.21-8 313. 55. 17-92 12-75 65-17 1.30 2.66 0.97 0.03 24 41-6 0.25 43 89.47.31-25 32-11 59-14 0.14 1.90 9-6 5. 9. 5. 10-6 328. 45. 51-09 45-89 65-20 2.47 2.88 1.55 0. 01 34 41-6 0.44 46 Jl. 6.35-31 36-99 58-32 1.61 1.87 8-1 6. 10. 0. 53-3 344. 4. 17 64 21-36 56-28 3.92 3.05 2.23 0.13 43 41-5 0.67 49 92.23. 11-39 12-77 58-62 13.04 1.78 7-5 7. 10. 56. 26-9 359. 45. 9-37 1-00 58-37 5.59 3. 15 3.00 0.37 51 41-5 0.94 51 93. 30. 33-59 45-01 48-58 14.28 1.63 7-7 8.11.52. 3-6 8.11.54.232 15.38.51-89 15. 40. 18-90 47-88 17-18 64-01 61-72. 7.36, 7.36; J. 18 J. 18 3. 82; 3. 82: 0.69 0. 69 54 54 41-4 41-4 1.23 1.23 52 52 94. 22. 47-91 J4. 22. 60-37 51-25 55-20 56-66 65-17 5.23 15. 23 1.43 1.43 8-9 8-9 Sub. 6o"-00 Sub. g \ 7. 02 : Sub. Sub. Sub. Sub. Sub. Sub. ub. Sub. 60-00 Sub. 10. 2i Sub. i.oo Sub. 23-7 J.OO 4.00 0.76 30 20-8 1.4-2 30 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [161] Greenwich Mean Solar Time of Longitude of 4 IMS 1 > t; 1 5 .! to ii > u ,5-3 d | li <2 S _ a ce o 3 ' C O ti >s S Ecliptic N. P. D. of o u. _S. 5jc o'f. . C J os ct 'i. ? o S JJQ Observation of Moon's Limb. Moon's Center from Observation. ES M< o^ x j-a wo o-J 5| fcc tt, 1< 0.5 II 1 v a be be 1.1 P - O S < 1 !& - = u.S Moon's Center from Observation. 1 fe* r I!* it s a Isl J cj a ti ti, SZ 0.5 - . , t/ \ \\ 1794. ' Oct. 11.14.43.47-6 62. 37. 37-40 39-32 58-08 12.07 2.80 6.17 1.47 38 41-3 2.08 50 94. 50. 40-64 37-46 63-18 f 15.64 0.72 16-8 12. 15. 40. 43-7 77.28. 0-50 7-96 52-54 13.10 2.56 6.83 1.51 27 41-2 2.33 47 94.18. 2-6-2 3-90 58-72 15.00 0.51 20-2 15. 18. 23. 37-5 118. 47. 13-62 9-75 63-87 13.87 1.78 7.76 0.89 07 41-0 2.79 36 91. 26. 49-64 49-63 60-01 11.73 0.13 29-9 17.20. 0.14-7 144. 13. 54-73 45-46 69-27 12.55 1.35 7.51 0.30 13 40-8 2.82 27 89. 12. 43-38 38-78 64-60 9.19 0.11 34-9 18.20.45. 2-5 156.35.22-85 14-28 68-57 11.46 1.19 7.12 0.12 21 40-7 2.74 22 88. 9.26-23 24-16 62-07 8.00 0.17 36-9 Nov. 3. 8.41. 4-9 351.56.38-13 39-86 58-27 4.54 3. 10 1.25 0.00 28 38-4 0.04 36 93. 8. 5-20 1-39 63-81 13.80 1.70 13-7 5.10.29.34-1 22. 59. 37-53 44-33 53-20 8.02 3.17 2.60 0.23 47 38-0 0.30 44 94.41.59-88 62-13 57-75 15.59 1.31 0-0 6. 11. 25. 26-9 38. 46. 56-72 57-89 58-83 9.72 3.08 3.41 0.52 53 37-6 0.50 47 94.59.21-02 19-13 61-89 15.92 1.06 7-8 8. 13. 23. 25-6 69. 56. 62-46 51-02 71-44 12.49 2.71 5.05 1.16 50 37-2 1.02 52 94.27. 1-80 1-21 60-59 15.30 0.59 8-0 9. 14. 21. 65-4 84. 56. 42-35 39-17 63-18 13.39 2.47 5.82 1.40 43 37-0 1.31 53 93.42.11-48 10-04 61-44 14.45 0.40 9-3 11. 16. 14.37-1 113. 19. 4-48 2-21 62-27 14.00 1.94 7.06 1.48 23 36-6 1.89 51 91.38.22-15 21-50 60-65 12.10 0. 15 13-7 12. 17. 6. 53-4 126.42.11-25 7-55 63-70 13.72 1.69 7.47 1.32 14 36-4 2.15 49 90. 29. 17-99 15-82 62-17 10.80 0. 10 16-5 26. 3. 3.35-5 290. 30. 55-87 44-91 (70-96) 0.05 2.08 1.09 1.45 25 32-7 1.35 08 88. 15. 11-03 34-00 (37-03) 8.13 1.84 38-9 27. 3.56.49-3 304. 3. 18-33 23-41 54-92 0.36 2.34 0.63 1.31 16 32-4 1.07 09 89.25.41-23 34-18 67-05 0.44 1.89 37-6 Dec. 1. 7. 25. 14-4 0. 56. 29-30 39-21 50-09 5.17 3.13 0.53 0.19 15 31-0 0.18 19 93. 55. 29-95 32-94 57-01 14.56 1.58 26-5 3. 9.10.24-9 31. 9.21-05 26-47 54-58 8.68 3.14 1.50 0.01 33 30-4 0.01 28 95. 0.52-51 50-82 61-69 15.84 1. 16 19-2 4. 10. 5. 20-5 46. 31. 33-73 32-09 61-64 10.32 3.03 2.18 0. 12 43 30-1 0.01 32 95. 2.50-04 47-75 62-29 15.91 0.92 15-6 5.11. 2.11-1 61.53.21-81 21-90 59-91 11.75 2.85 2.94 0.36 50 29-8 0.07 37 94.42.64-13 58-67 65-46 15.57 0.69 12-6 6. 12. 0. 32-4 77. 5.26-80 19-87 66-93 12.87 2. 62 3.76 0.67 54 29-5 0. 18 41 94. 3. 21-91 18-20 63-71 14.86 0.47 10-2 6.12. 2.55-9 77. 6.58-37 46-35 72-02 12. 87 2.62 3.76 0.67 54 29-5 0.18 41 94. 3. 15-75 13-51 62-24 14.86 0.47 10-2 8. 13. 59. 24-6 106. 27. 20-21 6-23 73-98 13.98 2.10 5.45 1.29 47 28-6 0.57 48 92. 1. 0-81 3-43 57-38 12.61 0.18 7-6 10.15.46.47-8 133.53.68-65 58-26 70-39 13.53 1.61 6.79 1.51 28 28-0 1. 10 52 89. 36. 42-37 45-69 56-68 9.94 0.10 7-0 12. 17. 21. 17-9 159. 36. 60-83 55-40 65-43 11.75 1.23 7.61 1.21 11 27-4 1.68 52 87. 25. 18-28 11-37 66-91 7.47 0.21 10-5 14.18.46.51-5 184. 16. 34-08 27-51 66-57 9.08 1. 01 7.74 0.60 08 26-4 2.21 49 85.47.45-14 38-05 67-09 5.62 0.47 14-8 17.20.53. 7-2 221. 0.12-95 14-91 58-04 4.55 1.03 6.67 0.05 30 25-4 2.74 38 84.51.24-57 21-84 62-73 4.50 1.01 22-9 31. 7.56. 6-3 40.30. 8-83 11-31 57-52 9.32 3.11 0.72 0.10 18 20-5 0.50 13 95. 12. 58-78 59-14 59-64 15. 93 0.99 32-0 1795. Jan. 3.10.43.19-0 84. 55. 44-93 34-34 70-59 13.20 2.53 2.55 0.22 47 19-5 0.04 24 93. 36. 48-42 47-9-2 60-50 14.26 0.36 21-7 4. 11.40.58-4 99. 24. 76-08 57-43 78-65 13.81 2. 2' 3.35 0.50 52 19-1 0.00 29 92.33. 5-77 5-98 59-79 13.11 0.22 18-2 4. 11. 40. 58-4 99. 24. 75-65 57-43 78-22 13.81 2.27 3.35 0.50 52 19-1 0.00 29 92. 32. 59-40 65-98 5342 113. 11 0.22 18-2 5. 12. 39. 51-6 113.37.20-08 3-49 76-59 14.01 2.00 4. 18 0.83 54 18-8 0.02 34 91.20.52-64 57-83 54-71 11.80 0.13 15-2 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. n K \ \ \\ > f \ \\ | g > e \ \\ % 60-00 7-02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 - GREENWICH LUNAR REDUCTIONS. [Y] [162] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. :fi """ O" 53 Change for OS- 1 1 in Argument. Parallactic Inequality. Variation, Change forfls-1 I in Argument. Annual Equation. Evection. 1 Change for OS- 1 1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. t "a, II Q =* *r J.-S c a. ol C |! z /* Qj y 1 Effect of Mean Inclination. Change for fle-l 1 in Argument. Evection in E. N. P. D. 1795. '**. Jan. 9.15.58.23- o / " 166.37.53-6 // 37-29 it 76'3-J * v 11.30 \ \ 1.17 7.02 g * 1. 4S 23 17-1 g 0.63 49 o / it 86. 44. 42-16 // 44-48 // 57-68 e > 6.75 0.28 7-9 11. 17.23.33-6 191.23.44-7 30-31 74-4 8.52 0.99 7.70 1.08 09 16-5 1.1" 52 85. 18.33-74 32-05 61-69 5.16 0.58 7-6 13. 18. 47. 23-6 215. 50. 34-2 27-98 6625 5. 4! 1.00 7.67 0.4" 10 15-8 1.75 52 84.44. 8-62 5-64 62-98 4.51 0.95 9-2 25. 4. 10. 15-3 6. 30. 55-15 53-25 61-90 4. 76 3.11 0.60 1.32 16 11-8 2.28 12 94.29.23-15 26-56 56-59 15.06 1.48 38'4 28. 6.45.28-6 50.40. 4-0 2-41 61-67 9. 93 3.06 0. 28 0.47 09 10-9 1.48 08 95. 10. 12-36 12-86 59-50 15.81 0.81 39-6 29. 7.39.25-4 65.11.46-87 42-74 64-13 11.49 2.90 0.51 0.20 14 10-6 1.20 08 94. 43. 37-27 35-02 62-25 15.32 0.60 38-4 31. 9.30.44-1 93.46.27-17 19-00 68-17 13.48 2.43 1.50 0.0 33 9-7 0. 6f 11 93. 0. 60-47 57-59 62-88 13.46 0.26 34-3 Feb. 2.11.20.50-6 121.29.42-56 30-25 72-31 13.99 1.9 2.94 0.35 50 9-2 0.25 17 90.38.47-05 43-59 63-46 10.89 0.11 28-5 3. 12. 12. 53-7 134. 57. 48-62 35-43 73-19 13.66 1.66 3.76 0.66 64 8-9 0. 11 21 89.24.10-19 11-75 58-44 9. 54 0.11 25-2 3. 12. 15. 6-6 134. 58. 56-02 46-68 69-34 13.66 1.66 3.76 0. 66 54 8-9 0. 11 21 89.24. 4-80 5-21 59-59 9.53 0. 11 25-2 4.13. 4.22-4 148. 10. 14-16 5-15 69-01 12.99 1.45 4.59 0.99 53 8-6 0.03 26 88. 13. 4-98 3-21 61-77 8.25 0. 15 22-2 5. 13. 50. 58-3 161. 5.10-72 3-72 67-00 12.03 1.27 5.40 1.27 48 8-4 0.00 30 87. 9. 3-80 2-39 61-41 7.09 0.25 19-2 11.18. 8.48-0 235. 17. 53-22 46-38 66-84 3.50 1.10 7.75 0.63 08 6-6 0.95 51 84.57.28-10 24-44 63-66 4.76 1.27 7-8 27. 7.26. 8-7 89. 26. 10-34 10-86 59-48 13.00 2.59 0.37 0.33 11 3-0 1.96 10 93. 16. 26-78 21-48 65-30 13.70 0.29 39-8 Mar. 1. 9. 15. 8-5 116.51.23-79 16-84 66-95 14.00 2.07 1.17 0.00 27 2-7 1.40 08 91. 1.45-20 40-34 64-86 11.21 0.11 39-5 4.11.43.31-0 156. 7.53-99 53-03 60-96 12.66 1.37 3.29 0.49 62 2-1 0.60 12 87. 33. 66-09 48-83 77-26 7.39 0.22 34-9 5. 12. 30. 28-9 168.50.11-67 13-66 58-01 11.59 1.21 4.12 0.81 54 1-9 0.38 15 86.37. 11-15 7-13 64-02 6.37 0.34 32-4 8.14.37.51-5 206. 1.31-70 24-34 67-36 7.37 0.97 6.40 1.50 34 1-6 0.01 27 84. 57. 19-58 22-75 56-83 4.59 0.84 24-2 11.16.48.27-1 242. 45. 67 '62 54-39 73-23 3.00 1.15 7.69 I. 11 09 1-1 0.15 40 85. 20. 27-83 32-54 55-29 5.09 1. 40 15-9 27. 6. 17. 3-0 99. 2.59-99 56-39 63-60 13.31 2.49 0.23 0.80 07 o-o 2.71 21 92. 21. 37-74 34-21 63-53 12.76 0.19 32-7 28. 7.11.48-8 12. 46. 62-06 56-71 65-35 3.86 2.23 0.27 0.48 09 o-o 2.56 17 91. 12. 62-95 59-80 03-15 11.46 0.12 35-2 29. 8. 4. 16-7 26. 8.44-06 36-00 68-06 4.01 1.97 0.51 0.21 14 o-o 2.37 14 90. 2. 20-09 14-97 65-12 10.13 0.10 37-3 30. 8.54. 5-4 39. 11.44-72 38-85 65-87 3.77 1.72 0.90 0.04 22 o-o 2.14 11 88. 53. 13-85 7-49 66-36 8.83 0.13 38-8 31. 9.41.18-1 51.59.58-78 52-39 66-39 3.18 1.50 1.46 0.00 32 o-o 1.89 09 87. 48. 64-32 51-60 72-72 7.63 0.20 39-7 April 8. 15.30. 52-8 50.46.54-32 52-98 61-34 2.54 1.20 7.22 1.44 20 0-2 0.06 23 85. 54. 26-13 33-19 52-94 5.58 1.53 29-2 10.17. 8.44-3 75. 53. 4-42 4-74 59-68 0.64 1.56 7.75 0.96 08 0-4 0.01 32 87. 32. 43-79 40-41 63-38 7.45 1.79 23-5 23. 4. 7.27-3 93. 33. 45-40 41-36 64-04 2.78 2.65 0.90 1.41 21 1-6 2.63 42 92. 32. 20-35 11-55 68-80 13.12 0.22 16-5 24. 5. 4.54-2 07.53.25-16 6-03 69-13 3.57 2.39 0.51 1.23 13 1-7 2.75 37 91. 22. 51-84 46-79 65-05 1. 80 0. 13 19-7 26. 6.51.17-6 35. 2.43-94 3-90 70-04 3.96 1.87 0.23 0.64 07 2-2 2.83 28 89. 0.39-13 33-67 65-46 9. 11 a. 12 26-3 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 i. oo 4.00 0.76 30 20-8 g \ 1.42 30 eo'-oo K \ 0.21 \ 00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [163] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Loncitude. Excess of Observed Longitude. Elliptic Inequality. Change for OB- 1 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. If Evection. Change for OS- 1 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. 2 UJ^ i.H 3.S. . i I* ~i. r Effect of Mean Inclination. Change for 08-1 in Argument. 1 ft c p^ --i 1795. d h m s O / ff tf * ' V g * > a v o / // H " s " \ \\ April 27. 7.39.42-3 148. 0.58-65 45-12 73-53 13.59 1.63 0.35 0.35 11 2-3 2.78 24 87.55.31-93 26-23 65-70 7.86 0.18 29-2 28. 8.25.20-6 160.41.39-90 30-04 69-86 12.87 1.42 0.66 0.12 18 2-5 2.68 20 86.58.11-15 4.44 66-71 6.77 0.28 32-0 29. 9. 8. 52-4 173. 9.54-07 44-53 69-54 11.88 1.25 1.13 0.01 27 2-6 2.52 16 86. 10. 39-50 31-26 68-24 5.86 0.42 34-3 30. 9. 51. 2-8 185. 29. 57-85 47-62 70-23 10.64 1.11 1.73 0.03 37 2-8 2.32 13 85. 34. 29-92 21-85 68-07 5.17 0.58 36-4 May 1. 10. 32. 37'2 197. 45. 13-22 9-65 63-57 9.25 1.02 2.44 0.19 46 2-9 2.08 11 85. 10. 52-85 47-44 65-41 4.71 0.76 38-0 2.11.14. 19-8 209. 58. 39-70 36-49 63-21 7.74 0.98 3.23 0.46 52 3-1 1.82 09 85. 0.40-33 36-82 63-51 4.51 0.95 39-1 3. 11. 56. 49-4 222. 12. 17-02 17-47 59-55 6.21 0. 98 4.06 0.78 54 3-4 1.54 08 85. 4. 9-54 11-70 57-84 4.56 1.14 39-8 3. 11.58.52-9 222. 13. 14-60 18-70 55-90 6.21 0.98 4.06 0.78 54 3-4 1.54 08 85. 4.12-00 12-54 59-46 4. 56 1.14 39-8 5. 13. 28. 20-4 246. 48. 34-22 32-36 61-86 3.31 1.12 5.67 1.36 45 3-8 0.98 09 85. 51. 54-53 53-79 60-74 5.44 1.50 39-7 6. 14. 15.49-1 259. 13. 46 34 40-73 65-61 2.10 1.26 6.36 1.50 35 4-0 0.72 11 86. 34. 17-77 21-37 56-40 6.23 1.65 38-8 7. 15. 5. 3-5 271.46.48-40 47-01 61-39 1.10 1.44 6.95 1.50 25 4-2 0.49 13 87.27.19-21 19-51 59-70 7.22 1.77 37-5 8.15.55.42-0 284. 30. 44-04 42-86 61-18 0.41 1.65 7.39 1.36 16 4-4 0.29 17 88. 28.41-50 46-57 54-93 8.37 1.85 35-6 9. 16. 47. 10-9 297. 28. 50-60 56-25 54-35 0.06 1.89 7.67 1. 12 10 4-6 0. 14 20 89. 36. 11-10 11-61 59-49 9.65 1.90 33-3 22. 3.48.58-9 115.51.28-80 21-31 67-49 13.76 2.30 1. 17 1.45 26 7-8 2.05 50 90. 27. 47-29 32-98 74-31 10.88 0.11 9-2 23. 4.43.47-1 129. 48. 20-76 15-74 65-02 14.01 2.03 0.69 1.34 17 8-0 2.29 48 89. 13. 14-32 5-41 68-91 9.48 0. 11 11-2 24. 5. 34. 50-8 143.15. 8- 16 0-59 67-57 13.86 1.78 0.37 1.11 10 8-3 2.50 44 88. 3.55-47 49-43 66-04 8.17 0.16 13-3 26. 7. 7. 9-8 168. 57. 26-39 19-50 C6-89 12.52 1.35 0.27 0.50 08 9-1 2.78 36 86. 12. 20-27 13-16 67-11 6.05 0.39 18-7 30. 9.55. 9-9 218. 7.41-76 33-59 68-17 7. 16 0.97 2.08 0.09 41 10-1 2.64 19 84. 56.61-15 49-08 72-07 4.53 1.10 29-9 31. 10.38.27-5 230.22.54-51 47-91 66-60 5.63 0. 99 2.83 0. 30 49 10-4 2.47 15 85. 12. 25-89 16-6JJ 69-20 4.79 1.28 32-7 June 4. 13. 52. 33'0 280. 32. 30-57 24-90 65-67 0.80 1.51 6.02 1.44 40 11-8 1.47 08 88. 17. 14-71 1260 62-1 8.14 1.84 39-4 27. 8.35. 8-5 225.56.21-17 15-56 65-61 6.58 0.97 1.09 0.01 26 19-5 2. 7S 35 84. 59. 15-21 1-W 73-2! 4.70 1.24 16-5 29.10. 5.50-0 250. 40. 13-47 3-05 70-42 3.64 1.09 2.38 0. 18 45 20-2 2.81 26 86. 3.60-32 47-46 72-86 5.84 1.58 22-2 30. 10. 54. 27-7 263. 16. 32-62 12-77 79-85 2.37 1.22 3.17 0.44 52 20-5 2.74 22 86. 54. 45-20 43-17 62-03 6.75 1.72 25-2 July 1.11.45. 4-9 276. 4.50-20 36-64 73-56 1.32 1.39 4.00 0.76 54 20-8 2. 6d 18 87. 55. 52-64 46-28 66'3a 7.86 1.82 28-3 4.14.24. 7-1 315. 51. 65-25 51-70 73-55 0.05 2.09 6.31 1.49 3(5 22-1 1.95 10 91. 30. 36-77 31-98 64-78 11.76 1.87 36-1 5. 15. 15. 26-9 329. 34. 61-74 49-88 71-86 0.38 2.35 6.91 1.60 26 22-4 1.0" 08 92. 39. 59-28 51-88 67'4( 13.03 1.78 38-0 6.16. 5.47-6 20. 3.39.44-0 343. 31. 66-80 171. 11.41-68 53-24 31-00 73-56 70-68 1.11 12.76 2.61 1.39 7.37 1.21 1.38 1.46 16 27 22-7 27-4 1.38 0.78 08 50 93. 40. 66-81 85.50 24-13 58-65 9-33 68-16 74-80 14.15 5.71 1.65 0.45 39-3 10-7 25. 7.14. 2-4 233. 21. 57-50 59-98 57-52 6.01 0. 98 0.46 0.25 13 28-9 2.17 49 85. 10. 42-53 29-87 72-l5(i 5.00 1.37 8-0 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. jSub. Sub. Sub. 60"00 7*. 02 2. 00 4.00 6.76 30 20-8 e \ 1.42 30 60-00 10. 21 i.ob 23-7 ' [Y]2 [164] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. l| Change for Os-1 1 in Argument. Parallactic Inequality. Variation. Change for O&'l 1 in Argument. Annual Equation. Evection. Change for Os-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Exross of Ob- 1 served Ecliptic 1 N.P.D. Effect of Mean Inclination. Change for OS-1 in Argument. I*. .2Pn f* KW 1795. d h July 26. 7.59.22-8 O 1 H 245.41.53-58 h 56-86 ti 56-72 g \ 4.51 1.04 0.84 0.06 21 29-2 2.40 46 O ' II 85. 44. 54-29 a 43-71 II 70-58 5.62 1.54 9-0 28. 9. 36. 48-0 270. 54. 42-94 36-64 66-30 1.94 1.28 2.03 0.08 41 30-1 2.73 39 87.29.14-13 7-89 66-24 7.52 1.79 12-4 31.12. 14. 51-8 31.12.17. 8-5 310. 47. 54-44 310.49.10-23 47-45 3-01 66-99 67-22 0.04 0.04 1. 93 1.93 4.42 4.42 0.92 0.92 53 53 30-9 30-9 2.80 2.80 25 25 91. 3. 18-54 91. 3. 30-96 15-44 22-30 63-10 68-66 11.41 11.41 1.88 1.88 20-9 20-9 Aug. 4. 15. 42. 40-3 7. 44. 75-05 52-67 82-38 2.69 2.91 7.16 1.46 21 32-3 2. 14 11 94.54. 3-01 1-74 61-27 15.56 1.32 33-9 7.18.17.15-0 51.52.64-43 53-92 70-51 7.64 3.17 7.76 0.68 07 33-1 1.31 08 94.51.31-59 28-58 63-01 15.46 0.64 39-5 8. 19. 12. 13-7 66. 37. 36-97 31-63 65-34 9.37 3.11 7.61 0.39 11 33-3 1.03 09 94. 10. 67-72 59-78 67-94 14.70 0.44 40-0 23. 6. 38. 48-9 252. 54. 54-26 52-81 61-45 3.97 1.07 0.33 0.39 10 37-0 1.41 53 86. 14. 56-58 46-22 70-36 6. 19 1.64 8-9 25. 8. 17. 45-7 278. 9.34-47 30-89 63-58 1.55 1.34 1.05 0.02 25 37-4 1.98 51 88. 9. 5-66 3-93 61-73 8.32 1.85 7-4 26. 9.10. 0-5 291. 14. 26-33 23-54 62-79 0.71 1.54 1.63 0.02 35 37'6 2.24 48 89.18.13-17 12-37 60-80 9.60 1.90 7-6 27.10. 3.15-6 304.42. 9-48 8-73 60-75 0.19 1.77 2.33 0. 16 45 37-8 2.46 45 90.31.27-85 29-21 58-64 10.95 1.89 8-3 28. 10. 56. 43-5 318.34. 5-01 1-15 63-86 0.03 2.03 3.12 0.42 51 38-2 2.63 42 91.44.61-05 54-90 66-15 12.30 1.84 9-8 29.11.49.45-4 332. 49. 12-71 13-30 59-41 0.27 2.29 3.94 0.74 54 38-3 2.76 37 92.53.50-19 44-21 05-98 13.55 1.73 11-8 29.11.52. 1-4 332.50.33-31 32-19 61-12 0.27 2.29 3.94 0.74 54 38-3 2.76 37 92. 53. 48-46 50-14 58-32 13.55 1.73 11-8 30.12.44.21-5 347.26. 16-23 7-89 68-34 0.90 2.55 4.76 1.07 52 38-5 2.82 33 93. 52. 50-89 53-31 57-58 14.62 1.57 14-6 31.13.36. 8-0 2.17.29-18 14-40 74-78 1.90 2.79 5.62 1.33 45 38-7 2.83 28 94. 37. 22-96 19-63 63-33 15.41 1.38 17-7 Sep. 1.14.27.48-1 17. 17. 65-24 43-24 82-00 3.23 2.98 6.31 1.49 36 38-8 2.78 24 95. 3.14-02 16-22 57-80 15.85 1.15 21-2 2. 15.20. 1-4 32.21.63-41 3-33 120'08) 4.82 3.12 6.91 1.51 26 39-0 2.67 20 95. 8. 9-25 27-99 (41-261 15.91 0.92 25-0 5.18. 4.29-4 76. 54. 38-66 21-50 77-16 10.00 3.06 7.77 0.85 07 39-6 2.07 10 93.25. 4-02 4-19 59-83 13.89 0.31 34-7 6. 19. 1. 46-2 91.22.36-86 23-53 73-33 11.48 2. 89 7.71 0.53 09 39-7 1.80 09 92. 20. 33-72 37-12 56-60 12.67 0. 19 37-0 17. 3. 3. 8-3 223. 30. 29-33 27-04 62-29 7.91 0.98 1.25 1.46 28 40-9 0.02 34 85. 6.72-57 55-74 76-83 4.75 1.27 27-5 18. 3.46.52-1 235. 43. 46-89 46-73 60-16! 6.37 0.98 0.75 1.37 19 41-0 0.10 38 85. 31. 44-32 25-54 78-78 5.23 1.44 24-7 20. 5.19. 5-5 260. 12. 50-37 45-97 64-40 3.46 I. 11 0.25 0.86 08 41-2 0.42 46 86. 55. 62-49 49-33 73-16 6.86 1.73 18-9 21. 6. 8. 0-5 272.38.63-81 59-40 64-41 2.22 1.24 0.26 0.55 08 41-3 0.65 49 87. 52. 52-05 47-17 64-88 7.94 1.83 16-3 22. 6.58.38-6 285. 20. 42-57 38-34 64-23 1.20 1.41 0.44 0.27 12 41-3 0.91 51 88.57. 9-73 7-67 62-06 9.16 1.89 13-7 24. 8.43. 9-4 311.51.20-57 23-59 56-98 0.08 1.86 1.33 0.00 30 41-4 1.49 53 91. 17.19-40 22-14 57-26 11.80 1.86 9-6 27.11.21. 5-4 355. 8.12-11 13-76 58-35 1.23 2.64 3.52 0.57 53 41-5 2.30 48 94. 17. 20-70 21-35 59-35 15.14 1.45 7-6 28. 12. 16. 4-6 10. 24. 66-87 52-50 74-37 2.37 2.87 4.36 0.90 53 41-6 2.51 44 94. 49. 53-74 55-43 58-31 15.73 1.23 8-4 29. 13. 9.29-0 25. 53. 40-26 27-05 73-21 3.81 3.04 5. 17 1.20 49 41-6 2.67 40 95. 1.57-01 50-56 66-45 15.93 0.99 10-1 30. 14. 4. 7-3 41.25.39-85 22-78 77-07 5.47 3.15 5.92 1.42 41 41-6 2.78 36 94. 51. 40-08 40-08 60-00 15.71 0. 75 12-6 Sub. 60-00 Sub. Sub. Sub. Sub. 0. 7<> Sub. 30 Sub. 20-8 Sub. g 1.42 Sub 30 Sub. (io-oo Sub. 10. 21 Sub. i.oV Sub. 23-7 7.02 2. 00 4. 00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [165] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. 1 Change for fls- 1 in Argument. Parallactic Inequality. Variation. Change forfls-1 1 in Argument. 1 Annual Equation. Evection. Change for OS- 1 1 in Argument. Ecliptic N.P.D. of Woon's Center from Observation. oj" . lip i ** 1 . ^ M Effect of Mean Inclination. Change for O'-l 1 in Argument. Evection in E.N.P.D. 1795. " " m ' O r f it tt g v N \ \\ a \\ . t - Q f ft tr g v \ \\ X Oct. 1. 15. 0. 18-8 56. 50. 64-39 51-55 72-84 7.23 3.18 6.58 1.52 31 41-6 2.83 32 94. 20. 21-03 20-23 60-80 15. 10 9.53 15-6 2.15.57.57-1 72. 1.45-12 42-67 62-45 8.98 3. 13 7.12 1.46 21 41-6 2.82 27 93. 30. 57-40 58-81 58-59 14.15 0.35 18-9 5. 18. 51. 12-2 115.26. 71-63 54-62 77-01 13.03 2.58 7.76 0.69 07 41-5 2.46 15 90. 3.16-95 22-44 54-51 10.20 0.10 29-5 6. 19.45.18-4 129. 12. 18-59 9-41 69-18 13.71 2.32 7.61 0.40 11 41-5 2.24 12 88. 50. 46-43 65-92 40-51 8.82 0.13 32-4 19. 4.50.51-4 280. 17. 50-32 50-10 60-22 1.80 1.30 0.31 1.03 09 40-7 0.04 35 88. 46. 51-07 48-53 62-54 8.81 1.87 29-7 24. 9. 6. 4-2 347. 24. 37-94 31-33 66-61 0.70 2.49 1.59 0.02 35 40-0 0.99 52 94. 1.43-05 61-39 41-66 14.80 1.54 14-3 25. 9.57.54-2 2. 19. 34-26 36-15 58-11 1.62 2.73 2.28 0.15 44 39-9 1.27 52 94. 39. 55-62 57-72 57-90 15.52 1.33 11-7 26. 10. 50. 47-3 17.42.63-15 59-56 63-59 2.88 2.94 3.06 0.40 51 39-8 1.57 52 94.59. 3-69 5-81 57-88 15.90 1.10 9-4 27.11.45.23-1 33. 26. 66-46 42-02 84-44 4.40 3.09 3.94 0.72 54 39-6 1.86 51 94. 56. 24-80 19-79 65-01 15.86 0.85 8-0 27.11.47.43-1 33. 28. 32-04 11-00 81-04 4.42 3.09 3.94 0.72 54 39-6 1.86 51 94.56.21-81 18-56 63-25 15.86 0.85 8-0 28. 12. 44. 32-0 49.21.26-21 1-22 84-99 6.12 3.17 4.76 1.05 52 39-4 2.12 50 94. 30. 48-04 48-18 59-86 15.39 0.62 7-4 29. 13. 43. 35-0 65. 10. 38-6-2 23-04 75-58 7.90 3.17 5.56 1.32 46 39-2 2.36 47 93.44.37-12 35-22 61-90 14.52 0.41 7-8 30. 14. 44. 13-7 80. 44. 48-45 35-59 72-86 9.62 3.09 6.27 1.48 37 39-1 2.56 43 92. 42. 10-27 9-46 60-81 13.35 0.25 9-0 Nov. 1.16.44.27-7 110.36. 0-80 2-43 58-37 12. 42 2.73 7.34 1.39 17 38-7 2.80 35 90. 12. 54-84 56-92 57-92 10.54 0.10 13-5 2. 17. 40. 68-5 124. 47. 34-20 30-53 63-67 13.34 2.48 7.64 1.16 10 38-6 2.83 30 88.57.59-87 59-51 60-36 9. 11 0. 12 16-3 3. 18.33.54-1 138. 31. 30-28 18-44 71-84 13.87 2.22 7.77 0.86 07 38-4 2.81 26 87.49. 9-40 2-84 66-56 7.81 0. 18 19-4 19. 6. 6. 3-0 327. 13. 48-66 52-35 56-31 0.04 2.06 0.25 0.57 08 34-8 0.00 32 93. 0. 7-22 6-37 60-85 13.45 1.74 33-7 20. 6. 55. 27-2 340.53.28-18 29-65 58-53 0.32 2.32 0.42 0.28 12 34-5 0.06 36 93. 53. 49-68 58-53 51-15 14.47 1.60 30-9 21. 7.45. 2-6 355. 3. 11-70 13-25 58-45 1.00 2.58 0.78 0.08 20 34-0 0.17 41 94. 35. 42-99 42-30 60-69 15.28 1.42 27-8 : 23. 9.27.38-8 24.57.21-56 1765 63-91 3.42 3.00 1.93 0.06 39 33-5 0.54 48 95. 6.41-38 41-55 59-83 15.93 0. 96 20-4 24. 10. 22. 20-8 40.35. 7-72 2-65 65-07 5.04 3.13 2.66 0.26 48 33-2 0.79 50 94.49.60-14 56-01 64-13 15.65 0.72 168 25. 11. 20. 9-3 56. 28. 69-44 53-69 75-75 6.78 3.18 3.46 0.55 53 33-0 1.06 52 94. 10. 49-87 46-28 63-59 14.96 0.50 13-5 28.14.28.51-3 103. 44. 28-36 19-83 68-53 11.67 2.87 5.87 1.42 42 31-9 1.94 51 90. 37. 50-49 56-13 54-36 11.08 0. 11 7-7 Dec. 2.18. 6.51-7 160.27. 5-00 0-98 61-02 13.96 1.86 7.73 1.03 08 30-7 2.74 38 86. 2. 41-49 38-45 63-04 5.94 0.40 10-8 19. 6.27.22-9 3.43. 17-91 22-07 55-84 1.36 2.67 0.30 0.43 09 25-1 0.05 24 95. 2.33-49 38-81 54-68 15.67 1.27 :38'1 20. 7. 16. 31-8 18. 8. 26-01 26-25 59-76 2.53 2.89 0.55 0.17 15 24-8 0.00 28 95. 15. 11-91 18-10 53-81 15.92 1.05 36-1 22. 9. 1.49-3 48. 15.20-60 23-00 57-60 5.67 3. 16 1.59 0.01 34 23-8 0.08 38 94. 38. 18-25 22-91 55-34 15.31 0.59 30-4 23. 9.59.30-3 63. 49. 24-12 20-00 64-12 7.44 3.18 2.28 0.14 44 23-5 0.21 42 93. 48. 20-62 17-29 63-33 14.42 0.39 26-8 26. 13. 9. 6-8 110.45.41-22 33-22 68-00 12.14 2.78 4.71 1.04 52 22-5 0.87 51 89. 55. 39-99 44-49 55-50 10.23 0. 10 15-4 Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sab. 60-00 7* 02 v \\ 2.00 4.00 0*76 30 20-8 K \ : 1.42 30 60-00 ( 10.81 1. 00 *, - [166] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. O . ll ij Change forO~"l I in Argument. Parallactic Inequality. Variation. Change for Os- ll in Argument. Annual Equation. Evection. Change for fls-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. 1'. D. ffz w $ j Effect of Mean Inclination. Change for OB- 1 1 in Argument. a .2 ft* W W 1795. 1 h m s Dec. 29. 15. 58. 10- ' ll 154. 34. 28-17 31-8 56'36 g v 14.01 2. 0- 6.8 g 1.5 \\ 27 \ 21-1 g 1.72 \\ 52 O r n 86. 17. 8-90 9-46 59-44 s v 6.25 0. 35 8'7 30. 16.46. 19-3 168. 9.47-07 57-62 49-4o 13.86 1.7 7.3 1.40 18 20-8 2.0 51 85. 30. 24-72 20-02 64-70 5.38 0.52 7-7 31.17.31.27-5 181.18.41-08 32-7 68-37 13.34 1.54 7.63 1.18 11 20-5 2.26 48 84. 59. 20-9U 22-9S 58-01 4.82 0.70 7-4 1796. Jan. 1.18.14.34-2 194. 4.58-41 60-3 58-10 12.50 1.34 7.70 0.88 07 20-1 2.48 45 84. 44. 25-65 20-28 65-36 4. 53 0.90 7-7 2. 18. 56. 44-5 206. 34. 32-52 43-74 48-78 11.40 1.19 7.73 0.57 08 19-8 2.64 41 84. 44. 41-54 40-40 61-14 4.53 1.10 8-6 15. 4.25. 6-5 359. 20. 34-87 35-15 59-72 0.80 2.52 0. 44 1.18 12 15-2 0.95 09 94.57. 4-51 10-8o 53-66 15.57 1.31 37-7 16. 5.12.51-6 13.21.49-31 50-37 58-94 1.77 2.70 0.26 0.90 08 14-9 0.68 11 95. 15. 17-86 21-14 56-72 15.90 1.10 39-1 17. 6. 1.43-3 27.40. 8-78 11-07 57-71 3.06 2.96 0.25 0.59 08 14-6 0.46 14 95.14.31-71 36-47 55-24 15.88 0.88 39-9 18. 6.52.40-5 42. 15. 52-19 50-53 61-66 4.62 3.10 0.40 0.30 12 14-2 0.27 17 94. 53. 45-71 50-07 55-64 15.50 0.66 39-9 19. 7. 46. 34-3 57. 7.56-80 51-60 65-20 6.34 3.17 0.75 0.09 19 13-9 0. 12 21 94.13. 13-56 14-01 59-55 14.76 0.45 39-2 21. 9.44. 4-8 87. 28. 13-34 3-29 70-05 9.81 3.07 1.88 0.06 39 13-3 0.00 30 92. 1.51-01 51-57 59-44 12.37 0.17 35-2 22. 10. 45. 56-2 02. 44. 25-97 22-30 63-67 11.33 2.91 2. 60 0.25 48 12-7 0.03 34 90. 40. 17-85 16-17 61-68 10.89 0. 11 32-4 24. 12.48.38-6 32. 50. 37-21 39-88 57-33 13.43 2.45 4.30 0.87 54 12-1 0.25 43 87. 56. 49-49 56-42 53-07 7.93 0. 17 25-5 25. 13.43.47-5 47. 24. 15-70 9-09 56-61 13.91 2.19 5.11 1. 18 50 11-8 0.45 46 86. 47. 35-26 34-97 60-29 6.68 0.29 21-9 26. 14. 34. 59-3 61.32.28-17 32-40 55-77 14.00 1.92 5.87 1.41 42 11-5 0.68 49 85.52.12-15 12-0( 60-09 5.69 0.46 18-7 29. 16.51. 18-1 01. 22. 30-15 29-58 60-57 12.11 1.28 7.49 1.31 14 10-3 1.52 53 84. 44. 37-09 28-03 69-06 4.50 1.04 11-0 30. 17. 34. 7-0 13. 56. 52-86 58-73 54-13 10.93 1. 14 7.72 1.05 09 10-0 1.80 52 84. 53. 52-93 51-89 61-04 4.69 1.23 9-3 31. 18. 17. 9-5 26.18. 9-49 5-14 54-35 9.56 1.04 7.77 0.74 07 9-7 2.07 50 85.17.21-27 22-16 59-11 5. 13 1.41 8-2 Feb. 1. 19. 1. 10-0 38. 31. 44-96 55-18 49-78 8.08 0.98 7.64 0.44 10 9-5 2.32 47 85. 53. 31-03 30-93 60-10 5.80 1.57 7-6 2. 19. 46. 43-3 50.43. 31-94 39-97 51-97 6.54 0.97 7. 34 0.20 16 9-2 2.52 44 86. 40. 33-48 42-65 50-83 6.68 1.71 7-4 14. 4.49.34-4 37. 50. 18-70 11-97 66-73 3.63 3.02 0.33 1.06 10 5-9 1.43 08 94. 55. 35-94 40-16 55-78 15.61 0.70 33-5 15. 5.41.43-7 52. 25. 14-23 14-71 9-52 5.26 3.14 0.22 0.75 07 5-6 1.15 08 94.21. 15-90 26-59 49-31 14.95 0.50 36-1 17. 7.34. 0-0 81.50.52-51 48-32 4-19 8.78 3.14 0.55 0. 18 15 5-2 0.62 12 92. 24. 18-47 20-62 57-85 12.75 0.19 39-4 19. 9.33. 11-4 11. 22. 23-06 16-82 6-24 1.83 2.84 1.55 0.01 34 4-8 0.22 18 89. 49. 30-00 24-90 65-10 9.88 0.10 39-8 20. 10. 31. 45-5 26. 1.32-49 29-07 3-42 2.93 2.61 2.23 0. 13 43 4-6 0.09 22 88.31.11-78 8-81 62-97 8.43 0. 14 38-8 22. 12. 20. 20-4 22. 12. 22. 34-6 54. 44. 26-61 54. 45. 40-18 25-19 41-29 1-42 8-89 3.99 3.99 2.09 2.09 3.82 3.82 0.69 0.69 54 54 4-0 4-0 0.00 0.00 3L 31 86. 19. 52-88 86. 19.48-78 43-75 38-96 69-13 69-82 6.03 6.03 0.39 0.39 34-9 34-9 23. 13. 11.55-7 68. 41. 27-57 27-78 9-79 3.93 1.83 4.65 1.02 52 3-8 0.04 36 85. 34. 21-38 17-90 63-48 5.21 0.57 32-2 24. 13.59. 35-5 S2. 16. 42-63 45-62 7-01 3.50 1.60 5.45 1.30 47 3-6 0. 14 40 85. 5.21-52 17-61 63-91 4.70 0.76 29-2 Sub. o"oo Sub. Sub. Sub. Sub. 6.76 sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 6.21 Sub. 1. 00 Sub. 23-7 7.02 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. MW WA- Aij-vywAl a \SUOJ^J\ \ rtu AJUU J.A.JUU1JAA J. AjA.\Jj, 1 \_\JI Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. o& a. rt 5* c Change for O?'! in Argument. Parallaetic Inequality. Variation. Change for Os-l in Argument. Annual Equation. Evection. Change for W'l in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. J>.2 S. *P If Effect of Mean Inclination. Change for Os-l in Argument. ;<= a * 1^ ww 1796. -1 Feb. 27. 16. 10. 36-9 O / // 221. 2. 6-07 // 6-56 H 59-51 e > 10.43 \ 3-0 e * 0.74 \\ 50 o / // 85. 15. 27 05 28-86 // 58-19 g 4.97 \ \\ 1.36 1 20-2 1.09 7.28 1.42 18 Mar. 16. 6.27.46'3 92. 6.43-61 45-90 57-71 9.43 3.10 0.24 0.60 08 0-5 1.64 08 91. 20. 18-12 18-56 59-66 11.65 0.13 31-3 17. 7.26.40-0 106. 37. 51-81 57-24 54-57 10.99 2.96 0.40 0.31 11 0-5 1.35 08 90. 3.60-55 58-72 61-83 10.21 0.10 34-3 18. 8.24.27-6 120. 59. 33-23 45-18 48-05 12.23 2.76 0.75 0.09 19 0-4 1.07 09 88. 48. 22-76 17-86 64-90 8.78 0.13 36-7 19. 9.19.57-3 135.11. 6-71 13-92 52-79 13.25 2.51 1.25 0.00 28 0-3 0.80 10 87.38. 9-19 7-51 61-68 7.46 0.21 38-4 25. 14. 4. 4-2 215. 42. 47-47 57-56 49-91 11.24 1.17 5.82 1.39 43 o-i 0.01 32 85. 16. 17-51 12-44 65-07 4.82 1.30 35-6 27. 15. 33. 4-0 240.39. 4-54 5-09 59-45 8.44 0.99 7.06 1.49 23 o-o 0.18 41 86. 25. 16-70 11-83 64-87 6. 14 1.63 30-9 28. 16. 19. 14-2 252. 53. 49-78 55-75 54-03 6.92 0.97 7.47 1.33 15 o-o 0.34 45 87. 15. 15-90 12-88 63-02 7.08 1.75 28-3 April 13. 5.21.28-0 102. 12. 49-75 42-72 67-03 10.05 3.05 0.34 1.07 10 0-6 2.53 16 90. 11.64-06 52-64 61-42 10.51 0. 10 18-7 14. 6. 20. 18-9 116.43.55-67 63-51 62-16 11.53 2.89 0.23 0.76 07 0-7 2.34 13 88.55.30-13 23-21 66-92 9.06 0.12 21-9 16. 8. 9.25-4 144. 51. 58-98 63-14 55-84 13.52 2.42 0.53 0.19 15 1-0 1.84 09 86. 43. 30-46 19-24 71-22 6.54 0. 31 28-7 17. 8.59. 3-4 158.31.19-90 25-66 54-24 13.95 2. 15 0.94 0.03 23 1-1 1.56 08 85. 54. 45-77 41-68 64-09 5.61 0.47 31-8 18. 9.45.55-1 171.56. 5-70 17-34 48-36 13.98 1.89 1.50 0.01 33 1-2 1.27 08 85.20.41-84 37-67 64-17 4.95 0.65 34-3 19. 10. 30. 46-8 185. 7.32-72 47-13 45-59 13.64 1.65 2.18 0.12 43 1-3 0.99 09 86. 2. 10-99 9-84 61-15 4.58 0.85 36-6 20. 11. 14. 27-7 198. 6.27-01 46-49 40-52 12.95 1.44 2.94 0.36 50 1-4 0.73 11 84. 59. 24-80 30-08 54-72 4.51 1.05 38-2 21.11.57.45-7 210. 53. 37-58 55-91 41-67 11.97 1.26 3.76 0.67 54 1-5 0.50 13 85. 12. 6-14 4-13 61-01 4.72 1.25 39-4 21. 11.59. 50-6 210.54.45-29 59-96 45-33 11.97 1.26 3.76 0.67 54 1-5 0.50 13 85. 12. 9-65 5-72 63-93 4.72 1.25 39-4 23. 13. 28. 0-0 235.57. 5-20 21-46 43-74 9.37 1.03 5.40 1.28 47 17 0.15 20 86. 17. 29-34 30-84 58-50 5.91 1.59 39-9 24. 14. 13. 46-2 248. 15. 26-56 38-90 47-66 7.87 0.98 6.12 1.46 39 2-0 0.05 24 87. 6.32-99 30-07 62-92 6.83 1.72 39-5 25. 15. 0. 53-4 260. 28. 22-85 37-98 44-87 6.33 0.98 6.75 1.52 29 2-2 0.00 29 88. 3. 21-37 19-07 62-30 7.88 1.82 38-4 30. 19. 6. 6-9 322. 42. 36-82 46-12 50-70 0.45 1.63 7.56 0.33 12 2-9 0.62 49 93. 16. 18-45 18-93 59-52 13.78 1.70 27-5 May 1.19.54.38-0 336. 0. 5-79 8-02 57-77 0.08 1.87 7.19 0.13 20 33 0.88 51 94. 4.57-50 62-25 55-25 14.72 1.55 24-2 113. 6. 6. 6-5 140. 31. 49-49 42-51 66-98 13.06 2.57 0.26 0.93 08 5-6 2.77 23 86. 47. 35-09 30-96 64-13 6.77 0.28 13-1 16. 8.30. 3-1 181. 5.54-62 56-59 58-03 13.89 1.80 0. 72 0. 10 13 6-3 2.28 12 84. 56.54-81 49-67 65-14 4.63 0.81 21-9 17. 9. 13.31-9 194. 1. 54-53 60-58 53-95 13.41 1.57 1.21 0.00 28 6-8 2.03 10 84. 51.39-59 37-89 61-70 4.50 1.01 25-0 18. 9.56.20-2 206. 45. 13-29 18-17 55-12 12.61 1.37 1.83 0.04 38 7-0 1.77 09 85. 1.55-18 50-69 64-49 4.65 1.21 28-0 19. 10. 39. 17-7 219. 18. 7-19 13-75 53-44 11.54 1.20 2.55 0.22 47 7-3 1.48 08 85. 26. 23-36 21 75 61-61 5.08 1.39 30-6 25. 15. 23. 12-4 292. 55. 22-00 34-30 47-70 2.92 1.16 7.02 1.49 24 9-1 0.12 21 91. 3. 37-98 36-99 60-99 11.21 1.89 40-0 26. 16. 12. 15-6 305. 18. 18-73 25-04 53-69 1.76 1.31 7.44 1 1.34 15 9-3 0.03 25 92. 7.61-58 59-64 61-94 12.40 1.83 39-9 Sub. Sub. Sub. Sub. , Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o"-00 7.02 2. 00 4.00 K \ 0.76 \v 30 20-8 /. 42 30 60-00 10. 2i . 00 23-7 - [168] EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Lonpitude. Excess of Observed Longitude. !! af 1 Change for Os-1 in Argument. Parallactic Inequality. Variation. Change for OS' 1 1 in Argument. 11 < =* w Evection. Change for Os-J 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of > Tabular Ecliptic N. P. D. 1 O if'o l^- u > ^ % Effect of Mean Inclination. Change for fls-l in Argument. I 8 ' WW 1796. '*.' May 27. 17. 0. 37'4 o / a 317.52.53-49 it 59-47 ii 54-02 0.86 1.50 X \\ 7.70 1.09 o ' a 93. 7.18-70 17-65 H 61-05 g ' 13.51 1.74 \ 39-3 09 9-6 0.00 30 31.20. 10.20-2 11.44.28-93 27-33 61-60 0.72 2.49 6.95 0.08 24 10-7 0.45 46 95. 13. 26-31 33-19 53-12 15.93 1.01 31-1 June 11. 5.41.37-9 163. 18. 22-41 13-59 68-82 13.88 2.21 0.35 1.08 10 14-2 2.79 36 85. 20. 16-00 8-83 67-17 5.20 0.57 7-9 13. 7.12.41-8 189.58.11-39 5-46 65-93 13.75 1.71 0.28 0.47 09 14-8 2.81 26 84.44. 6-76 4-67 62-09 4.50 0.97 10-5 15. 8.38.25-3 215.21.6209 57-66 64-43 12.23 1.30 0.90 0.04 23 15-4 2.61 18 85. 12. 11-02 4-45 66-57 4.97 1.36 14-8 18.10.51.57-6 252. 15. 44-57 39-79 64-78 8. 24 0.99 2.88 0.33 50 16-7 1.97 10 87.28.12-54 9-77 62-77 7.40 1.78 22-9 23. 14. 57. 49-6 313.48.48-07 56-77 51-30 1.38 1.38 6.71 1.52 29 18-2 0.61 12 92.53. 7-18 7-22 59-96 13.28 1.76 35-9 24. 15. 45. 22-3 326. 29. 36-30 40-76 55-54 0.59 1.58 7.22 1.44 19 18-6 0.39 15 93. 47. 26-35 24-12 62-23 14.28 1.63 37-7 25. 16. 31. 55-1 339. 24. 49-49 50-10 59-39 0. 14 1.81 7.58 1.23 12 19-2 0.22 18 94. 31. 12-70 15-27 57-43 15.07 1.47 39-0 28. 18. 51. 22-7 20. 13. 14-58 17-97 56-61 1.02 2.59 7.58 0.35 12 20-2 0. 00 31 95. 13.31-18 37-70 53-48 15.86 0.86 39-5 29. 19. 40. 56-2 34. 40. 25-04 22-53 62-51 2.08 2.82 7.22 0.14 19 20-5 0.05 36 94.50.51-63 56-21 55-42 15.46 0.64 38-2 30. 20. 33. 49-4 49. 34. 53-40 37-93 75-47 3.46 3.01 6.71 0.05 29 20-8 0. 15 40 94. 8. 1-29 18-10 43-19 14.69 0.44 36-3 July 16. 9.35.54-4 260. 21. 70-36 57-97 72-39 7.66 0.98 1.78 0.04 37 26-2 2.71 21 88. 8. 34-98 31'53 63-45 8.27 1.85 11-2 17. 10.24.19-9 272. 34. 34-24 20-27 73-97 6.12 0.98 2.49 0.20 46 26-5 2.57 17 89. 13. 55-00 54-95 60-05 9.46 1.89 13-1 18. 11. 13.45-2 284. 51. 10-28 6-35 63-93 4.62 1.03 3.29 0.47 52 27-1 2.38 14 90. 21. 42-99 45-23 57-76 10.69 1.90 15-4 19. 12. 3.29-9 19. 12. 5. 42-6 297. 14. 54-00 297. 15. 58-38 40-47 47-15 73-53 71-23 3.23 3.22 1.13 1.13 4.12 4.12 0.80 0.80 54 54 27-4 27-4 2. 16 2. 16 11 11 91.29. 9-51 91. 29. 11-56 5-84 11-77 63-67 59-79 11.92 11.92 1.86 1.86 18-2 18-2 20. 12. 54. 57-9 309. 47. 67-57 59-63 67-94 2.02 1.27 4.94 1. 12 51 27-7 1.90 09 92. 32. 57-80 50-43 61-37 13.07 1.78 20-9 25.16.48. 6-9 15.34.31-68 27-16 64-52 0.55 2.43 7.69 1.11 10 29-2 0.55 13 95. 13. 36-98 44-91 52-07 15.90 0.91 35-4 Aug. 7. 3.46. 5-1 192. 38. 24-74 21-29 63-45 13.85 1.77 1.17 1.45 26 33-1 1.40 53 84. 48. 21-84 15-26 66-58 4.51 1.06 18-9 8. 4.30.49-3 205. 54. 40-08 35-16 64-92 13.32 1.54 0.69 1.33 17 33-3 1.69 52 84. 59.41-11 25-54 75-57 4.74 1.26 15-9 9. 6.14.55-1 218.47.24-19 19-79 64-40 12.48 1.34 0.37 1. 10 10 33-6 1.97 51 85. 25. 60-57 38-53 82-04 5.25 1.45 13-3 12. 7.30.58-7 255.55.45-94 51-15 54-79 8.60 1.00 0.48 0.22 14 34-6 2.62 42 87.51.17-42 12-28 65-14 8.00 1.83 8-4 14. 9. 8. 5-4 280.21.61-84 57-80 (64-04) 5.54 0.99 1.41 0.00 32 35-0 2.82 33 90. 0.26-13 20-44 (65-69) 10.39 1.90 7-4 15. 9. 57. 53-0 292. 43. 53-54 44-81 68-73 4.08 1.06 2.08 0.10 42 35-3 2.83 29 91. 6.62-01 57-67 64-34 11.61 1.87 7-7 16. 10. 47. 37-5 305. 15. 70-36 59-24 71-12 2.75 1.17 2.83 0.32 49 35-5 2.78 24 92.11. 5-70 6-88 58-82 12.79 1.80 8-6 18. 12. 26. 54-8 331. 0.74-10 59-52 74-58 0.76 1.53 4.47 0.95 53 36-2 2.53 16 93. 59. 27-25 25-51 61-74 14.76 1.54 11-8 19.13.13.53-9 3 14. 14. 39-77 23-58 76-19 0.21 1.75 5.29 1.25 48 36-4 2.33 13 94. 37. 4-00 12-92 51-08 15.44 1.37 14-1 20. 14. 0. 13-4 357. 42. 33-20 10-93 82-27 0.03 2.01 6.02 1.45 40 36-6 2.09 11 95. 0. 24-00 24-87 59-13 15.84 1. 16 17-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub 60-00 7.02 2. 00 4. 00 6. 76 30 20-8 1.42 30 00-00 10. 21 1.00 23-7 1 796. Aug. 14. The Observed Z. D. has been decreased three revolutions of the Micrometer. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [169] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Is wj Change for 0'l 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. Annual Equation. Evection. Change for Os-l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. J3 S. ago w ^ *7 O * << 1 Effect of Mean Inclination, j Change for 08-1 in Argument. s* a 6 " W W 1796. " 'h m . O 1 ff if it g - ( VV \ u s v \ e * o / /' ft it g v \ u > Sep. 8. 5.24.21-8 251. 3.20-35 24-29 56-06 9.52 1.04 0.28 0.97 09 40-0 1.47 53 87.40.15-81 6-81 69-00 7.68 1.81 20-7 9. 6.12. 1-6 263. 17. 37-70 39-47 58-23 8.02 0.98 0.23 0.66 07 40-1 1.76 52 88. 40. 66-39 54-18 72-21 8.83 1.87 18-0 11. 7.50.17-3 287.46. 0-00 0-63 59-37 4.97 1.01 0.66 0.13 17 40-4 2.28 48 90. 50. 16-08 18-41 57-67 11.27 1.89 12-9 12. 8.39.58-6 300.11. 9-99 8-73 61-26 3.55 1.10 1. 13 0.01 26 40-5 2.49 45 91. 53. 44-23 45-29 58-94 12.46 1.83 11-0 13. 9. 29. 18-4 312. 49. 50-48 48-14 62-34 2.29 1.23 1.73 0.03 37 40-6 2.66 41 92. 52. 33-93 36-66 57-27 13.57 1.73 9-3 14. 10. 17. 54-0 325. 45. 22-85 20-45 62-40 1.26 1.40 2.44 0.19 46 40-7 2.77 37 93. 43. 45-55 48-73 56-82 14.52 1.59 8-1 15.11. 5.40-1 338. 59. 47-94 42-74 65-20 0.51 1.61 3.23 0.45 52 40-8 2.83 32 94.24. 8-92 11-02 57-90 15.27 1.42 7-5 16.11.52.50-0 352.33.31-24 19-07 72-17 0.10 1.85 4.06 0.78 54 40-9 2.82 27 94. 50. 39-69 42-67 57-02 15.76 1.22 7-5 16.11.54.59-4 352. 34. 33-23 30-94 62-29 0. 10 1.85 4.06 0.78 54 40-9 2.82 27 94. 50. 50-57 44-29 66-28 15.76 1.22 7-5 17. 12. 42. 3-0 6. 26. 24-85 15-66 69-19 0.06 2. 10 4.88 1.10 51 41-0 2.76 23 95. 0.51-12 52-17 58-95 15.93 1.01 8-1 21. 16. 4. 18-2 63. 58. 50-50 34-85 75-65 3.68 3.03 7.39 1.37 16 41-3 2.02 10 92. 44. 36-09 35-43 60-66 13.31 0.24 17-2 Oct. 6. 4. 4. 19-7 258.15.11-74 5-92 (65-82) 8.97 1.01 0.72 1.35 18 41-5 0.47 47 88. 30. 76-06 43-50 (92-56) 8.49 1.86 33-9 10. 7.20.30-8 307. 20. 56-65 55-52 61-13 3.05 1.14 0.46 0.24 13 41-4 1.55 53 92.41.20-76 29-90 50-86 13.23 1.76 22-9 11. 8. 8.54-7 320. 0.39-35 40-29 59-06 1.87 1.29 0.84 0.06 21 41-3 1.83 52 93.33.54-12 53-61 60-51 14.22 1.64 20-2 12. 8.56.34-8 333. 0. 5-91 7-29 58-62 0.94 1.48 1.37 0.00 31 41-2 2.10 50 94.16.36-31 36-29 60-02 15.04 1.48 17-2 13. 9.43.44-4 346.22.41-86 41-89 59-97 0.31 1.70 2.03 0.09 41 41-1 2.34 47 94. 46. 28-76 38-21 50-55 15.62 1.29 14-3 15.11.18.429 14.21.16-24 13-98 62-26 0.14 2.20 3.58 0.60 53 41-0 2.69 40 94. 57. 41-55 44-68 56-87 15.86 0.86 9-8 16. 12. 10. 17-6 28.54.66-12 54-72 71-40* 0.65 2.47 4.42 0.93 53 40-9 2.79 35 94. 34. 54-52 73-96 40-56 15.46 0.64 8-3 18. 13. 56. 41-2 58.41.68-13 56-01 72- 12 2.77 2.92 5.97 1.44 41 40-7 2.81 26 92.56. 6-01 10-37 55-64 13.62 0.28 7-6 23. 18. 52. 33-3 132. 48. 18-78 8-92 69-86 11.05 2.95 7.75 0.66 08 40-0 1.95 10 86. 48. 13-93 11-46 62-47 6.70 0.29 18-2 24. 19.46.31-1 147. 5.35-07 26-35 68-72 12.33 2.75 7.60 0.37 11 39-9 1.67 08 85. 55. 34-23 28-73 65-50 5.69 0.45 21-7 25. 20. 37. 8-4 161. 9.52-33 50-39 61-94 13.28 2.51 7.25 0.15 18 39-8 1.39 08 85.18.37-19 29-75 67-44 4.97 0.64 25-0 26.21.24.59-8 175. 1. 7-70 11-56 56-14 13.84 2.24 6.75 0.06 28 39-5 1. 11 09 84. 58. 47-40 42-36 65-04 4.68 0.85 28-3 Nov. 5. 4.24. 2-5 289. 59. 42-01 37-49 64-52 5.34 1.00 0.55 1.26 14 37-8 0.16 40 91. 31. 42-65 41-13 61-52 11.77 1.87 38-8 6. 5. 12.51-9 302. 12. 58-02 52-79 65-23 3.89 1.07 0.29 0.99 09 37-6 0.32 44 92. 32. 26-63 25-06 61-57 12.90 1.79 37-5 8. 6.47.52-2 327. 10. 36-26 30-20 66-06 1.49 1.35 0.34 0.38 10 37-2 0.77 50 94. 12. 10-26 15-11 55-15 14.79 1.54 33-5 10. 8. 20. 15-0 353. 26. 45-67 38-51 67-16 0.17 1.78 1.09 0.01 26 36-8 1.33 53 95. 5.46-15 55'90 50-25 15.84 1.16 27-8 12. 9.54.59-6 21.32.63-10 51-14 71-96 0.29 2.30 2.38 0.17 45 36-2 1.90 51 94.53. 6-03 10-47 55-56 15. 6(5 0.73 20-9 15.12.39.47-2 66.53.40-88 23-70 77-18 3.31 2.99 4.82 1.08 52 35-5 2.59 43 92. 13. 32-27 33-49 58-78 12. 80 0.20 11-5 Sub. eo'bo Sub. s \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. 1. 00 Sub. 23-7 2.00 4. 00 GREENWICH LUNAR REDUCTIONS. [Z] [170] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess : of Observed Longitude. : . 11 Hj Change for 08'1 I in Argument. Parnllactic Inequality. Variation. Change for Os-ll in Argument. | a cC O 3 c i Evection. Change for 0--1 1 in Argument. | Ecliptic N.P.D. of Moon's Center from Observation. Seconds of j Tabular Kcliplicl N. P. 1). ' ^ ^x ^sr; "P z x w I Effect of Mean Inclination. Change forOe-1 in Argument. ** Z** z Z Z . au 1796. d h m Nov. 16.13.41. 5-1 1 a 82. 24. 64-55 // 54-31 rr 70-24 g " 4.91 3.12 5.62 1.34 45 35-3 s ' 2.73 \\ 39 O < H 90.53. 8-84 It 7-35 // 61-49 g v 11.33 0. 12 \ 9-3 20. 17. 43. ITO 142. 44. 19-48 15-74 63-74 11.57 2.88 7.67 1.13 10 34-0 2.70 21 85. 57. 56-50 52-68 63-82 5.87 0.42 8-8 21.18.35.17-1 156.68.42-08 36-07 66-01 12.74 2.66 7.78 0.83 07 33-8 2.56 17 85. 16. 26-52 22-65 63-87 5.09 0.60 10-5 Dec. 4. 3. 55. 29-9 309.55. 7-98 4-72 63-26 3.37 1.11 0.75 1.36 18 30-1 0.01 28 93. 15. 49-21 48-11 61-10 13.68 1.72 39-4 6. 5.27.48-3 334. 46. 66-76 59-84 66-92 1.14 1.43 0.25 0.85 08 29-2 0.07 37 94. 42. 27-65 32-81 54-74 15.27 1.42 39-9 8. 6.57.24-7 0.48.10-91 6-35 64-56 0.07 1.88 0.44 0.26 13 28-6 0.37 45 95. 17. 14-88 10-79 64-09 15.93 1.03 38-3 9. 7.43. 8-8 14. 27. 15-60 7-30 68-30 0.08 2.14 0.81 0.07 20 28-3 0.58 48 95. 9.29-20 39-04 50-16 15.81 0.81 36-6 11. 9.21.58-1 43.17.53-07 40-55 72-52 1.27 2.65 1.98 0.08 40 27-7 1.11 52 93. 57. 58-87 62-70 56-17 14.54 0.41 31-3 13.11. 17. 3-5 74. 3. 8-96 2-12 66-84 3.88 3.05 3.52 0.58 53 26-7 1.70 52 91. 36. 57-32 58-00 59-32 12.00 0. 14 24-0 20. 18. 7. 55-6 180. 8.11-23 10-99 60-24 13.74 2.31 7.74 1.00 08 24-1 2.83 28 84.41.65-39 54-81 70-58 4.50 0.97 7-4 23.20.21. 3-9 219.38. 4-65 6-59 58-06 13.40 1.56 7.28 0. 17 18 23-1 2.51 16 85.48.26-50 25-65 60-85 5.70 1.65 10-1 1797. Jan. 12.12. 9.19-8 112. 48. 34-71 38-25 56-46 8.01 3.17 3.94 0.74 54 15-8 1.20 52 88. 6.20-05 17-11 62-94 8.05 0.17 30-2 12. 12. 9. 19-8 112.48. 34-68 38-25 56-43 8.01 3.17 3.94 0.74 54 15-8 1.20 52 88. 6.19-91 17-11 62-80 8.05 0.17 30-2 16. 16. 0. 15-6 174. 17. 50-99 54-73 56-26 13.38 2.47 6.91 1.51 26 14-6 2.30 48 84. 47. 62-30 51-05 71-25 4.53 0.90 15-6 Feb. 9.10.48. 6-8 120. 2.57-08 61-33 55-75 8.65 3.14 2.71 0.27 48 7-1 0.28 43 87. 28. 56-69 51-34 65-35 7.27 0.23 39-2 13. 14. 36. 28-8 181.31.57-29 60-02 57-27 13. 62 2.37 5.92 1.42 41 5-9 1.28 52 84. 54. 14-41 8-05 66-36 4.50 1.04 29-0 14. 15.24.42-6 195.53. 4-33 3-64 60-67 13.98 2.11 6.68 1.51 32 5-6 1.57 52 85. 5.41-72 31-76 69-96 4.74 1.26 25-8 15.16.11.21-8 209. 42. 32-86 29-87 62-99 13.95 1.85 7.12 1.47 22 5-4 1.86 51 85. 34. 13-57 0-64 72-93 5.30 1.46 22-4 17.17.43.41-7 235. 56. 38-3S 47-73 50-65 12. 81 1.41 7.73 1.02 08 5-0 2.36 47 87. 8.36-04 44-85 51-19 7.11 1.76 16-3 18. 18. 30. 43-9 248. 31. 15-89 20-67 55-22 11.79 1.23 7. 7 0.70 07 4-8 2.56 43 88. 8.28-42 22-18 66-24 8.24 1.85 13-9 19.19.18.45-6 260. 51. 51-93 59-02 52-91 10.53 1. 10 7.63 0.40 10 4-6 2.70 39 89. 12. 7-64 9-17 58-47 9.44 1.89 11-7 Mar. 2. 3. 3. 17'8 27. 19. 26-29 21-96 64-33 0.11 2.17 1.01 1.44 24 2-4 1.38 08 94. 24. 30-68 43-39 47-29 15.21 0.56 16-3 3. 3.50.19-8 40. 59. 15-55 15-11 60-44 0.57 2.44 0.57 1.28 15 2-2 1.10 09 93. 42. 39-64 50-15 49-49 14.40 0.39 19-4 4. 4.40.12-7 54. 53. 26-62 30-19 56-43 1.41 2.69 0.31 1.03 09 2-1 0.83 10 92. 46. 54-83 63-75 51-08 13.34 0.25 22-7 15. 14. 47. 23-8 216. 47. 64-50 59-90 64-60 13.84 1.76 6.27 1.48 37 0-6 0.79 50 86. 7.62-85 51-27 71-58 5.79 1.57 35-2 20. 18. 50. 15-0 280. 31. 17-34 26-75 50-59 8.55 0.99 7.72 0.56 08 0-3 2.19 49 91. 11. 35-72 39-93 55-79 11.54 1.88 21-2 21. 19. 39. 42-7 292. 43. 20-89 29-39 51-50 7.02 0.97 7.49 0.29 13 0-2 2.42 46 92. 12. 25'57 22-70 62-87 12. 70 1.81 18-4 22.20.28.23-7 304. 57. 43-07 50-18 52-89 5.49 0.99 7.09 0.11 21 0-2 2.60 42 93. 7. 2-63 5-36 57-27 13.74 1.71 15-9 April 2. 4.26. I'O 79. 10. 33-11 34-46 58-65 3.15 2.97 0.42 1.17 12 0-0 1.59 08 90. 32. 34-74 32-52 62-22 10.93 0.11 13-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60 : 00 7.02 2.00 4.00 6.76 30 20-8 f. 42 30 60-00 10. 21 i. oo 23-7 - SECT. III. COMPARISON OF Moon's OBSERVED AND TABULAR PLACE. [171] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Hi (fl <- Q o : Excess of Observed Longitude. ^ 3 O" U i Change forfls-1 in Argument. Parallactic Inequality. Variation. Change for 0*-1 in Argument. "H.l 5 3 B 3 ** rS* Evection. ^* < Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. J..H a. . U & *J " t Etfect of Mean Inclination. Change for 08-1 in Argument. _01X W W 1797. " " "' ' April 9. 10.59.37-4 O / H 181.59.22-41 28-76 a 53-65 g * 13.46 2.44 % \\ 2.66 0.26 48 1 0-3 0.05 24 Q 1 II 84. 59. 25-27 16-76 a 68-51 K ' 4.53 \ v\ 1.09 363 12. 13. 24. 28-8 224. 1. 14-95 14-46 60-49 13.68 1.67 5.11 1.19 50 0-5 0.08 38 86. 42. 53-55 41-85 71-70 6.39 1.67 40-0 18.18.21. 5-9 299.57. 8-06 14-81 53-25 6.44 0.97 7.77 0.73 07 1-2 1.43 53 93. 0. 9-20 11-82 57-38 13.45 1.74 32-0 19. 19. 8. 59-5 312. 12. 44-38 50-37 54-01 4.92 1.02 7.64 0.42 10 1-3 1.72 52 93. 48. 59-30 64-62 54-68 14.38 1.61 29-5 22.21.25. 2-5 350. 3.27-96 39-19 48-77 1.23 1.41 6.27 0.08 36 1-6 2.47 45 95. 6.21-92 27-60 54-32 15.91 1.08 20-7 May 3. 6. 19. 8-2 133. 29. 42-39 44-76 57-63 8.90 3.13 0.22 0.73 07 3-4 1.79 09 86. 0.65-28 53-47 71-81 5.91 0.41 11-8 4. 7. 14. 16-7 14S. 7.13-45 22-18 51-27 10.52 3.01 0.31 0.42 09 3-6 1.51 08 85. 18. 40-97 27-35 73-62 5.10 0.60 14-6 5. 8. 6. 1-9 162. 35. 17-96 33-83 44-13 11.91 2.83 0.57 0.17 15 3-8 1.22 08 84. 54. 38-13 27-34 70-79 4.62 0.81 17-7 8. 10. 28. 32-9 204.49. 5-95 18-94 47-01 14.00 2.08 2.28 0.14 44 4-4 0.46 14 85. 35. 25-69 21-34 64-35 5.28 1.45 27-8 13. 14. 33. 12-0 270. 18. 16-88 27-76 49-12 10.35 1.09 6. 22 1.48 38 5-6 0.03 34 90. 41. 10-91 10-04 60-87 10.83 1.90 38-9 14.15.23.50-1 282.43.17-81 22-49 55-32 8.92 1.01 6.83 1.51 27 5-9 0.11 39 91.47.19-63 18-49 61-14 12.04 1.85 39-8 15.16.13.43-6 295. 0.34-47 34-48 59-99 7.39 0.97 7.31 1.41 18 6-1 0.25 43 92. 47. 53-31 52-12 61-19 13.15 1.77 40-0 21. 20. 45. 46-5 10.31.32-93 40-45 52-48 0.30 1.70 6.58 0.05 30 7-8 1.79 52 94. 59. 56 62 65-03 51-59 15.69 0.74 31-1 June 5. 9.11.58-9 213. 53. 59-46 67-01 52-45 14.01 1.98 1.25 0.00 29 12-1 1.43 08 86. 1.36-42 27-85 68-57 5.88 1.59 14-8 6. 9.58. 3-7 227. 7.36-10 51-28 44-82 13.79 1.73 1.88 0.05 39 12-4 1.15 08 86. 55. 42-60 34-56 68-04 6.86 1.73 17-7 10.13.17. 3-6 278. 2. 15-84 31-50 44-34 9.82 1.05 5.05 1. 17 50 13-9 0.23 18 91.24.42-45 34-46 67-99 11.73 1.87 29-5 18.19.22.11-7 17.56. 3-75 0-02 63-73 0.16 1.79 7.37 0.20 16 16-7 0.73 50 94.47. 3-64 3-32 60-32 15.37 0.61 39-5 30. 5.38.19-5 182. 12. 47-43 46-45 60-98 12.76 2.65 0.33 1.05 10 20-5 2.81 26 84. 48. 24-72 14-99 69-73 4.59 1.16 9-0 July 3. 7. 56. 26-5 223. 5.43-62 41-08 62-54 13.97 1.88 0.55 0.18 15 21-8 2.40 14 86. 38. 50-71 44-13 66-58 6.65 1.70 7-7 5. 9.30.45-7 248. 48. 32-00 31-51 60-49 12.90 1.43 1.55 0.01 34 22-4 1.92 09 88. 44. 30-46 30-32 60-14 8.96 1.88 9-8 6. 10. 19. 57-4 261.22.27-51 26-45 61-06 11.91 1.25 2.23 0.13 43 ?2-7 1.64 08 89.53. 5-76 5-31 60-45 10.21 1.90 11-5 13.15.53.22-5 347.31.15-25 16-81 58-44 2.11 1.25 7.28 1.42 19, 25-2 0.07 23 95. 11.32-79 33-05 59-74 15.92 1.05 30-2 15. 17. 17. 40-2 12. 48. 27-79 35-18 52-61 0.43 1.64 7.76 0.92 08 25-9 0.01 32 94. 52. 39-55 41-06 58-49 15.52 0.66 35-0 17. 18. 47. 14-8 39. 20. 42-07 44-57 57-50 0.09 2. 14 7.53 0.32 12 26-8 0.17 41 93. 32. 42-51 45-63 56-88 14.00 0.33 38-7 27. 3.30.41-0 176.22. 8-54 13-66 54-88 12.08 2.79 1.37 1.46 30 29-8 2.43 46 84.51.44-91 31-04 73-87 4.53 1.10 22-4 29. 5. 7. 77 205. 7. 36-45 40-96 55-49 13.75 2.30 0.46 1.20 12 30-3 2.74 38 85.41.34-40 26-01 68-39 5.52 1.51 15-9 30. 5.53.41-3 218. 45. 29-77 27-07 62-70 14.01 2.04 0.26 0.92 08 30-6 2.82 34 86. 28. 63-77 52-57 71-20 6.43 1.67 13-1 31. 6.40.27-8 231.57.56-05 50-47 65-58 13.88 1.78 0.24 0.60 08 30-9 2.83 29 87. 26. 25-77 17-37 68-40 7.52 1.79 10-8 Aug. 2. 8.16.54-6 257. 26. 13-70 4-38 69-32 12.56 1.36 0.72 0. 10 19 31-7 2.69 20 89. 36. 60-39 59-92 60-47 9.96 1.90 8-1 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60*00 7.02 2. 00 \ \\ 4.00 s \ 0.76 30 20-8 1.42 30 60*00 10. 21 1. 00 23-7 [Z]2 [172] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 111 O cS bC Cfl ^" C $*l Excess of Observed Longitude. u H W a Change for OB- 1 1 in Argument. Parnllactic Inequality. Variation. Change for fle-l 1 in Argument. Annual Equation. Erection. Change for OS- 1 1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. 1 o 5 '3 C &. . ^ '""* ^S O w w il 1 Z S > ^ * CO Effect of ; Mean Inclination. Chnnge for 0f of from & *3 W W o - a < s i x< < 5- w s< from 5 S Z u s- ^ 5 1 X g * O f If ff " > " < Oct. 31. 9. 5.46-4 354. 52. 15-53 17-15 58-38 2.67 1.18 1.46 0. on 32 38-9 2.57 43 95. 5.20-78 28-52 52-26 15.85 9.85 27-0 Nov. 1. 9.48. 9-5 7. 41. 25-94 25-93 60-01 1.57 1.34 2.13 0.10 42 38-7 2.72 39 94.44.50-62 53-65 56-97 15.60 0.66 24-0 3.11.16.36-0 34. 12. 47-31 38-20 69-11 0.20 1.76 3.70 0.63 54 38-2 2.83 30 93.18.51-73 49-46 62-27 13.95 0.32 17-7 6. 13. 54. 12-8 76. 13. 9-45 5-01 64-44 0.87 2.54 6.07 1.45 40 37-6 2.58 17 89. 45. 47-26 47-49 59-77 10.08 0.10 10-1 10.17.52.16-1 134. 43. 15-21 3-15 72-06 6.53 3.18 7.75 0.95 08 36-6 1.62 08 85.24.47-71 35-54 72-17 5.25 0.55 8-1 12. 19. 39. 14-5 164. 6.59-24 54-19 65-05 9.98 3.06 7.58 0.34 12 36-2 1.06 09 84. 45. 35-56 24-27 71-29 4.50 0.99 11-7 23. 3.59.51-8 300. 13. 52-76 44-50 68-26 9.42 1.03 0.90 1.41 21 33-5 0.35 45 93.51. 3-36 0-82 62-54 14.35 1.62 38-8 27. 6.59.40-2 349. 22. 43-56 38-22 65-34 3.48 1.11 0.35 0.35 11 32-1 1.39 63 95. 15. 8 84 24-13 44-71 15.90 0.91 39-2 Dec. 4. 10.44. 8-7 55. 28. 60-20 49-51 70-69 0.07 2.12 3.23 0.46 52 30-7 2.61 42 91. 38. 9-90 18-52 51-38 11.99 0.14 28-3 3. 11. 38. 55-4 69. 52. 35-65 33-86 61-79 0.44 2.38 4.06 0.79 64 30-4 2.74 38 90.20. 3-83 3-50 60-33 10.57 0. JO 24-7 6. 14. 45. 25-6 114.46.46-14 42-57 63-57 3.79 3.04 6.40 1.50 35 292 2.79 24 86. 30. 27-95 23-62 64-33 6.42 0.33 14-3 12.20. 1.29-3 202.45.66-15 55-38 70-77 13.00 2.59 7.42 0.23 15 27-0 1.55 08 85. 54. 26-09 1661 69-49 5.82 1.58 8-4 13.20.48.28-0 216.36.60-64 45-70 74-94 13.70 2.33 6.98 0.08 24 26-7 1.26 08 86. 49. 31-05 24-03 67-02 6.83 1.72 10-0 1798. Jan. 4.14.32.25-0 138. 43. 68-84 58-13 70-71 6.10 3. 17 6.02 1.45 40 18-8 2.77 37 85. 15. 53-23 51-90 61-33 4.95 0.6 23-7 6.16.22.21-8 169.22. 18-12 10-45 67-67 9.59 3.09 7. 19 1.44 20 18-1 2.82 27 84. 50. 17-80 10-47 67-33 4.55 1.1 16-5 22. 4. 13. 25-9 4. 19. 15-04 6-00 69-04 2.62 1.20 0.53 1.25 14 12-7 0.00 :30 94. 43. 45-33 51-74 53-50 15.46 0.6 26-5 23. 4.54. 5-6 16. 43. 26-90 25-81 61-09 1.45 1.36 0.29 0.98 09 12-4 0.03 35 94. 12.19-15 15-17 63-98 14.84 0.4 29-5 25. 6.20.25-8 42. 18. 26-95 19-73 67-22 0.16 1.79 0.34 0.37 10 11-8 0.26 43 92. 31. 45-57 51-36 54-21 12.94 0.2 34-7 27. 8. 1.15-8 69. 33. 38-03 21-26 76-77 0.31 2.31 1.09 0.01 26 11-2 0.69 4!) 90. 12. 32-10 32-59 59-51 10.31 0.1 38-4 28. 8.59. 6-2 84. 0.28-24 13-69 74-55 0.98 2.57 1.68 0.03 36 10-6 0.96 51 88. 55. 40-73 37-73 63-00 8.88 0.1 39-6 31.12. 9.27-2 130.22.51-09 49-99 61-10 5.01 3.13 4.06 0.77 54 9-7 1.83 52 85.40. 9-7o 5-36 64-39 5.25 0.5 38-2 31.12.11.57-8 130. 24. 27"26 25-99 61-27 5.02 3.13 4.06 0.77 54 9-7 1.83 52 85.40. 4-79 0-96 63-83 5.25 0.55 38-2 Feb. 3. 15. 2. 42-0 177.47.31-83 22-82 69-01 10.19 3.04 6.36 1.50 35 8-9 2.54 44 85. 9.27-40 17-48 69-9 4.76 1.27 29-7 4. 15. 53. 9-3 192. 54. 33-55 29-44 64-11 11.64 2.87 6.95 1.50 25 8-4 2.70 40 85.41.70-33 59-73 70-60 5.41 1.49 26-3 6. 17. 30. 41-0 221. 37.2262 19-50 63-12 13.57 2.39 7.67 1. 12 10 7-8 2.83 31 87. 30. 62-55 55-38 67-16 7.48 1.79 19-2 7.18.19.46-1 235.15.38-80 32-11 66-69 13.96 2.13 7.78 0.82 07 7-6 2.81 26 88. 37. 48-93 48-04 60-89 8.76 1.87 16-1 21. 4.16.29-7 37.41. 6-70 4-96 61-74 0.42 1.65 0.38 1.13 11 4-2 0.09 22 92. 37. 22-7 1 27-22 55-49 13.21 0.23 18-9 22. 5. 2. 0-2 50. 35. 40-38 40-35 60-03 0.06 1.89 0.24 0.84 07 4-0 0.02 27 91.35.48-01 49-67 58-34 12.04 0.15 21-9 24. 6.45. 4-0 77. 34. 43-29 25-77 77-52 0.51 2.41 0.46 0.25 13 3-6 0.05 3(5 89.14.68-66 61-69 56-97 9.360. 11 28-3 Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 1. 02 \ \\ 2.00 4.00 0*76 30 20-8 r \ 1.42 30 60-00 10.21 \ \* 1.00 23-7 [174] KEDUCTION OF GREENWICH LTJNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for O?'! 1 in Argument. Parallactic Inequality. 1 1 Change for Oe-l 1 in Argument. Annual Equation. Evection. Change for Os-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. ' j=.2 a. 1* S-c 6 - I z ^ Effect of Mean Inclination. Change for OS- 1 in Argument. s5 I 8 : sz wa 1798. d h m ' Feb. 26. 8. 44. 44-2 o / " 106. 34. 68-56 54-08 /' 74-48 g * 2.51 2.89 1.37 0.00 ' // 86. 55. 50-72 48-04 II C2-68 s ^ 6.72 V tt 0.29 34-5 31 3-2 0.31 44 27. 9.47.26-7 121.52.34-34 27-97 66-37 3.99 3.05 2.03 0.08 41 3-0 0.52 47 85. 59. 39-08 34-74 64-34 5.64 0.46 36-9 28.10.49. 2-8 137. 34. 10-91 16-00 54-91 5.66 3.15 2.77 0.30 49 2-7 0.77 50 85. 19. 54-87 53-34 61-53 4.88 0.68 38-8 Mar. 1.11.47.57-6 153.29.43-11 45-02 58-09 7.43 3.18 3.58 0.60 53 2-5 1.04 52 85. 1.22-29 11-56 70-73 4.52 0.92 39-8 9.18.48. 0-7 269. 54. 31-54 24-60 66-94 13.36 1.55 7.75 0.67 08 1-3 2.81 34 91. 54. 13-50 10-24 63-26 12.32 1.84 23-2 25. 6.32.50-6 100. 44. 48-30 44-98 63-32 1.74 2.75 0.33 0.39 10 0-1 0.06 23 87. 6.11-58 7-49 64-09 7.08 0.25 18-4 29. 10. 26. 56-9 161. 8.24-88 33-64 51-24 8.10 3.16 2.38 0.17 45 o-o 0.19 41 84. 56. 26-29 32-30 53-99 4.51 1.06 32-4 April 6.17.32.30-4 277.42.11-10 11-07 00-03 13.07 1.47 7.65 1.14 10 0-1 2.23 48 92. 45. 45-01 44-37 60-64 13.15 1.77 35-8 7.18.25. 3-4 290.27. 5-05 0-90 64-15 12.13 1.28 7.77 0.84 07 0-2 2.46 45 93. 39. 12-36 10-42 61-94 14.17 1.65 33-6 11.21.30.39-7 339. 41. 27-06 29-69 57-37 6.55 0.97 6.49 0.06 32 0-5 2.83 28 95. 7.21-70 22-92 58-78 15.92 0.95 22-4 22. 6.26.20-3 110.34. 3-42 6-41 57-01 2.20 2.84 0.25 0.85 08 1-5 0.71 11 86. 14. 39-35 28-33 71-02 6.20 0.36 8-9 23. 6.25. 7-2 125. 2. 27-93 31-31 56-62 3.60 3.02 0.26 0.54 08 1-7 0.48 13 85. 27. 34-92 27-36 67-56 5.31 0.54 10-7 24. 7.22.11-0 139. 46. 40-98 47-22 53-76 5.24 3.14 0.44 0.26 13 1-9 0.28 17 84.57.31-56 23-10 68-46 4.72 0.75 13-1 25. 8.16.50-5 154.44.23-11 28-53 54-58 7.00 3.18 0.81 0.07 21 2-0 0.13 21 84. 47. 26-20 12-36 73-84 4.50 0.98 16-1 26. 9. 9.14-5 169.51.36-10 37-61 58-49 8.74 3.14 1.33 0.00 30 2-2 0.04 25 84. 58. 37-39 25-15 72-24 4.67 1.22 19-4 27.10. 0. 6-0 185. 2.41-82 45-03 56-79 10.39 3.02 1.98 0.08 41 2-3 0.00 29 85. 30. 62-75 41-99 70-76 5.23 1.44 23-2 28. 10. 50. 26-4 200. 11. 28-35 14-73 73-62 11.79 2.84 2.71 0.28 49 2-5 0.02 34 86. 21. 68-56 42-68 85-88 6.13 1.63 26-8 29. 11. 41. 16-1 215. 10. 18-64 9-97 68-67 12.90 2.62 3.52 0.58 53 2-6 0.10 38 87.27.27-10 17-86 69-24 7.31 1.78 30-4 May 9.20. 8.37"5 347. 12. 31-47 38-66 52-81 5.98 0.98 7.28 0. 17 18 4-8 2.50 44 95. 7.30-77 33-80 56-97 15.81 0.81 35-2 20. 4.20.25-1 120. 41. 16-08 7-77 68-31 2.70 2.91 0.55 1.27 15 7-3 1.74 09 85. 35. 40-40 30-06 70-34 5.46 0.50 8-7 21. 5.17.68-5 135. 18. 37-02 31-61 65-41 4.21 3.07 0.30 1.01 09 7-5 1.46 08 85. 0.19-91 3-74 76-17 4.81 0.71 7-7 22. 6. 12. 40-6 150. 1. 29-86 31-83 58-03 5.91 3.16 0.22 0.70 07 7-8 1.17 08 84.43.71-20 57-87 73-33 4.51 0.93 7-4 23. 7. 4.34-0 164. 47. 25-10 31-74 53-36 7.67 3.17 0.33 0.40 10 8-0 0.90 09 84. 48. 45-74 33-40 72-34 4.59 1.16 8-0 24. 7.54.22-5 179. 33. 47-08 59-42 47-66 9.40 3.10 0.60 0.15 16 8-5 0.64 11 85. 13. 51-40 39-35 72-05 5.04 1.38 9-3 25. 8. 43. 11-8 194. 17. 57-69 69-79 47-90 10.95 2.96 1.05 0.02 25 8-8 0.42 14 85. 57. 39-99 31-88 68-11 5. S3 1.58 11-3 26. 9. 32. 11-9 208. 56. 57-49 63-96 53-53 12.25 2.76 1.63 0.02 35 9-1 0.24 18 86. 57. 7-11 0-45 66-66 6. 91 1.73 13-S 27.10.22.25-1 223.27.25-74 29-07 56-67 13.22 2.52 2.33 0.16 45 9-3 0.10 22 88. 7.49-27 43-91 65-36 8.19 1.84 17-C June 6. 18. 44. 58-6 354. 27. 51-54 55-59 55-95 5.41 1.00 7.72 0.55 09 12-4 1.56 52 94. 56. 29-41 32-14 57-27 15.56 0.68 39- 18. 4. 8.34-6 145.27.11-53 0-84 70-69 4.85 3.12 0.78 1.37 19 16-4 2.41 14 84. 49. 45-32 34-77 70-55 4.65 0.88 14-S Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sut 6o"-00 7.02 \ v\ 2.00 4.00 0.76 30 20-8 e \ 1.42 w 30 60-00 10.21 i.ob 23- SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [175] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed [ Longitude. ll af Change for 06'1 1 in Argument. Parallactic Inequality. Variation. Change forOS'l 1 in Argument. Annual Equation. Evection. Change for Os-l I in Argument. Ecliptic N.P.D. of Moon's Center from Observation. .- O . Jj* ffo x "O z t z w z Effect of Mean Inclination. Change for Os- 1 in Argument. _c . .2 IX ts 1798. d h " ! O 1 II g v X \ \\ g > w \ e v O ' '/ It H g v \ \x H June 19. 5. 1. 50-2 160. 21. 24-94 14-59 70-35 6.58 3.18 0.42 1. 16 11 16-7 2.19 12 84. 48. 12-94 4-52 68-42 4.54 1.12 11-8 23. 8. 17. 20-9 218. 28. 23-86 30-23 53-63 12.66 2.68 0.81 0.07 20 17-9 1.10 09 87. 44. 53-43 46-26 67-17 7.86 1.82 7-5 24. 9. 7-33-9 232. 32. 40-75 46-88 53-87 13.49 2.43 1.33 0.00 30 18-6 0.83 10 88.57.48-17 44-31 63-86 9.20 1.89 8-2 25. 9.59.52-5 246. 25. 16-49 24-05 52-44 13.94 2.16 1.98 0.07 40 18-9 0.58 12 90. 13. 23-74 18-82 64-92 10.59 1.90 9-6 26.10.54. 7-5 260. 5.38-81 46-75 52-06 13.98 1.90 2.71 0.27 48 19-2 0.37 15 91.26.55-88 53-67 62-21 11.94 1.86 11-5 27.11.49.22-7 273. 32. 40-47 53-70 46-77 13.65 1.66 3.52 0.56 63 195 0.20 19 92. 34. 21-45 17-10 64-35 13.17 1.77 13-9 July 1.15.15.41-8 324. 58. 17-47 18-71 58-76 9.38 1.03 6.58 1.51 32 21-1 0.06 36 95. 6.38-23 42-19 50-04 15. 89 1.11 25-5 2. 15. 59. 19-4 337. 18. 28-62 32'25 56-37 7.88 0.98 7.12 1.47 22 21-4 0. 17 41 95. 9. 33-20 27-79 65-41 15.91 0.92 28-3 4. 17. 20. 55-0 1. 44. 54-81 56-91 57-90 4.84 1.02 7.73 1.03 09 22-1 0.53 48 94. 33. 15-10 9-92 65-18 15.19 0.56 33-5 6. 18.41.48-2 26. 26. 38-87 55-47 (43-40) 2.21 1.24 7.64 0.42 10 22-7 1.05 52 93. 6.58-91 38-08 (80-83) 13.54 0.27 37-3 16. 2.54.58-7 154.55.48-16 38-20 69-96 5.49 3.15 1.59 1.45 34 25-9 2.83 29 84. 53. 65-00 49-33 75-67 4.51 1.05 27-5 21. 7. 4.34-6 228. 17. 15-83 7-78 68-05 13.02 2.58 0.31 0.41 10 27-7 2.13 11 88. 43. 38-37 37-02 61-35 8.93 1.88 11-3 25. 10. 37. 9'8 282. 3.23-13 32-79 50-34 13.43 1.57 2.28 0.15 44 29-2 1.02 09 93.13.48-13 49-59 58-54 13.97 1.68 7-5 27. 12. 23. 13-2 307. 44. 30-60 44-46 46-14 11.55 1.20 3.88 0.72 54 29-8 0.52 13 94. 35. 37-01 40-95 56-06 15.47 1.35 9-1 29. 13. 55. 26-8 332.42. 7-58 15-50 52-08 8.82 1.00 5.51 1.32 46 30-3 0. 16 20 95. 2.13-84 16-84 57-00 15.93 0.97 12-6 Aug. 2. 16. 37. 39-2 21.34.40-13 41-82 58-31 2.96 1.15 7.63 1. 18 11 31-7 0.08 37 93.14. 8-24 13-41 54-83 13.82 0.30 22-9 6. 19. 42. 38-7 73. 0.40-21 45*55 54-66 0.03 1.96 7.12 0.11 21 32-8 0.85 51 88. 58. 13-28 1-45 71-83 8.96 0.12 34-3 17. 5. 0.41-3 223. 46. 16-09 20-80 55-29 12.41 2.73 0.42 1.17 12 35-7 2.83 28 88.34.51-46 44-36 67-10 8.63 1.87 26-5 20. 7.38.50-2 264. 54. 14-58 4-16 70-42 14.01 1.96 0.42 0.28 12 36-4 2.50 16 92. 6.56-62 56-56 60-06 12.65 1.81 16-8 21. 8.32.59-9 278. 0. 0-84 0-23 60-61 13.76 1.71 0.78 0.08 20 36-6 2.30 13 93. 5.42-93 39-93 63-00 13.77 1.70 14-1 22. 9.26.11-8 290. 52. 33-86 25-67 68-19 13.16 1.49 1.29 0.00 29 36-8 2.06 10 93. 53. 44-53 43-50 61-03 14.68 1.56 11-8 24.11. 5.32-6 316. 5.14-10 10-62 63-48 11.08 1.15 2.66 0.25 48 37-2 1.51 08 94. 51. 20-23 24-14 56-09 15.78 1.21 8-6 25. 11. 50. 54-6 328.28.63-31 58-63 64-68 9.73 1.05 3.46 0.54 63 37-6 1.23 08 94. 59. 23-93 22-07 61-86 15. 93 1.01 7-8 26. 12. 35. 45-7 340. 47. 29-27 29-68 59-59 8.25 0.99 4.30 0.87 54 37-8 0.95 09 94. 53. 10-52 16-95 53-57 15. 82 0.82 7-4 28.13.66.21-7 5.10.50-11 53-56 56-55 5.21 1.00 5.87 1.41 42 38-2 0.46 14 94. 1.38-75 38-16 60-59 14.85 0.47 8-3 29.14.35.59-1 17. 21. 42-09 43-22 58-87 3.78 1.08 6.54 1.51 33 38-3 0.27 17 93.18.19-18 24-70 54-48 14.04 0.33 9-4 31.15.58.48-9 41. 59. 23-86 26-22 57-64 1.42 1.37 7.47 1.32 14 38-7 0.04 25 91.25. 18-70 23-19 55-51 11.90 0.14 13-1 Sep. 1.16.44. 4-5 54. 35. 56-50 58-91 57-59 0.62 1.57 7.71 1.05 09 39-0 0.00 29 90. 19. 46-98 44-06 62-92 10.60 0.10 15-6 3. 18. 26. 25-3 80. 52. 43-33 42-60 60-73 0.04 2.06 7.64 0.44 10 39-3 0. 10 38 88. 3.30-39 24-29 66-10 8.07 0.17 21-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 s \ 7.0-2 2. 00 4. 00 0.76 30 20-8 g \ 1.42 30 6o"-00 10. 21 \ \\ 1.00 23-7 [176] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. >, u t- 11 a l Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os- 1 1 in Argument. ; ll c cs C 3 <$ Erection. 1 Change for Os-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of : Tabular Ecliptic N. P. D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. Change for 05-1 1 in Argument. !. .9ft. !* ww 1798. * fc " ' Sep. 16. 5.33. 5-7 Q 1 II 260.27. 12-53 ii 7-39 ii 65-14 g 13.97 \ \v 2.12 \ \v 0.33 g 1.04 \\ 09 \ 40-8 g v 2.78 36 ' 1 92. 0.35-32 II 26-33 II 68-99 s " 12. 38 \ \\ 1.83 \ 32-7 18. 7.22.22-0 286. 50. 55-99 48-78 67-21 13.57 1.62 0.30 0.43 09 41-1 2.82 27 93. 52. 34-59 34-13 60-46 14.51 1.59 27-0 19. 8. 14.17-1 299.35.48-10 44-03 64-07 12.85 1.41 0.55 0.17 15 41-1 2.75 22 94. 30. 13-73 15-46 58-27 15.25 1.43 24-0 21. 9.49.20-9 324. 30. 47-64 41-94 65-70 10.59 1.11 1.55 0.01 34 41-3 2.45 15 95. 3.59-31 57-77 61-54 15.92 1.05 18-2 25. 12. 35. 33-8 13.25.21-51 12-06 69-45 4.65 1.03 4.65 1.02 52 41-5 1.44 08 93. 27. 43-66 49-65 5401 14.22 0.36 9-6 26.13.15.44-1 25. 40. 33-43 30-78 62-65 3.27 1.12 5.45 1.30 47 41-5 1.16 08 92. 35. 19-89 20-70 59-19 13.25 0.24 8-3 30. 16. 19. 49-2 76.11.57-18 54-08 63-10 0.06 1.90 7.61 1.20 11 41-6 0.23 18 88. 12. 45-26 48-92 56-34 8.37 0.15 8-7 Oct. 2. 18. 11. 52-7 103. 16. 65-51 59-45 66-06 0.54 2.42 7.74 0.59 08 41-6 0.02 26 86. 12. 9-20 14-59 54-61 6.10 0.38 12-4 16. 6. 8.47-7 295. 6.34-89 26-51 68-38) 13.33 1.54 0.26 0.90 08 41-0 2.57 43 94. 29. 34-17 65-70 (28-47) 15.09 1.47 37-7 18. 7.46.50-5 320. 20. 35-20 37-28 57-92 11.38 1.18 0.40 0.30 12 40-7 2.80 35 95.11.31-66 33-44 58-22 15.90 1.10 33-9 19. 8.31. 1-8 332. 39. 28-87 32-33 56-54 10.07 1.07 0.75 0.09 19 40-6 2.83 30 95. 10. 14-34 15-65 58-69 15.90 0.90 31-6 20. 9.12.48-5 344. 52. 31-79 30-24 61-55 8.62 1.00 1.25 0.00 29 40-5 2.81 26 94. 54. 50-17 51-60 58-57 15.64 0.72 28-7 21. 9. 53. 2-1 357. 3.32-93 30-81 62-12 7.09 0.97 1.88 0.05 39 40-4 2.72 21 94.26. 7-55 8-21 59-34 15.14 0.54 26-0 22. 10. 32. 40-0 9. 16. 10-08 2-15 67-93 5.57 0.99 2.60 0.23 47 40-3 2.59 17 93. 45. 15-16 13-26 61-90 14.41 0.39 23-2 24.11.56. 2-3 33. 57. 55-60 44-96 70-64 2.79 1.17 4.24 0.84 54 40-0 2.18 11 91.53. 8-12 13-66 54-46 12.38 0.17 17-5 26.13.26.15-1 59. 14. 3~0-17 26"23 63-94 0.78 1.52 5.82 1.39 43 39-6 1.65 08 89. 36. 35-41 34-42 60-99 9.90 0.10 12-6 28.15. 9.57-0 85. 23. 60-82 51-12 69-70 0.03 2.00 7.06 1.48 23 39-4 1.09 09 87. 19. 50-57 57-74 52-83 7.40 0.22 8-9 30. 17. 3. 32-9 112.41.43-68 35-66 68-02 0.81 2.52 7.71 1.07 09 39-1 0.57 12 85.32.41-38 41-84 59-54 5.43 0.51 7-4 Nov. 2. 19. 49. 14-0 156. 4.64-12 59-10 65-02 4.66 3.10 7.37 0.20 16 38-4 0.07 23 84. 49. 28-97 29-64 59-33 4.59 1.16 10-5 3. 20. 40. 50-9 171. 9.12-75 8-59 64-16 6.37 3.17 6.91 0.07 25 38-2 0.01 27 85. 15. 45-30 48-69 56-61 5.05 1.39 12-S 14. 5.41. 6-6 315.28.30-07 32-99 57-08 12.10 1.28 0.33 1.06 10 36-0 1.94 51 95.13. 3-60 5-68 57-92 15.85 1.15 39-8 15. 6.27. 0-9 327. 59. 36-83 40-12 56-71 10.90 1.13 0.22 0.75 07 35-7 2.20 49 95. 16. 56-56 61-82 54-74 15.92 0.95 40-C 16. 7. 9.51-0 340. 18. 15-37 29-28 46-09 9.54 1.04 0.29 0.45 09 35-5 2.42 46 95. 6. 13-17 15-47 57-70 15.73 0.76 40-C 17. 7.50.34-9 352. 30. 19-98 31-15 48-83 8.05 0.98 0.53 0.19 15 35-3 2.61 42 94.41.42-18 44-08 58-10 15. 29 0.59 38-S 18. 8. 30. 14-8 4. 40. 59-97 65-8-2 54-15 6.52 0.97 0.94 0.03 23 34-8 2.74 38 94. 4.37-34 34-99 62-35 14.61 0.43 37' 22.11.19.19-8 54. 37. 16-47 13-98 62-49 1.29 1.39 3.76 0.67 54 33-8 2.70 20 90. 2.21-23 17-18 64-05 10.22 0. 10 28-( 23. 12. 11. 8-3 67. 41. 24-92 27-06 57"26 0.53 1.60 4.59 1.00 53 33-5 2.55 17 88.50.26-11 22-02 64-09 8.92 0.12 25-( 24.13. 4.30-4 81. 1. 9-75 10-57 59-18 0/11 1.84 5.40 1.28 47 33-2 2.35 13 87. 40. 52-51 51-49 61-02 7.66 0.19 21-S 25. 14. 0. 53-8 94. 37. 14-59 15-6-2 58-97 0.05 2.10 6. 12 1.46 39 33-0 2.12 11 86. 37. 51-94 47-98 63-96 6.52 0.31 18-' Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sul 60-00 7.02 2.00 \ \\ 4.00 g \ 0. 7 30 20-8 1.42 \\ 30 60-00 10. 2\ i. oo 23- SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [177] Greenwich Mean Solar Time of . Observation of Moon's Limb. Longitude of Moon's Center from Observation. m ** ^ S*" _Q . 0, V r -4 C *O J txcess of Observed Longitude. ^-J .e-3 = o- Wj Change for OK- 1 in Argument. ParalldCtic Inequality. Variation. Change for 0?'l in Argument. Annual Equation. Evection. Change for 0^1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. - .5. o 2 Q H ,.2 & . 11 ; S2 liffect of Mean Inrlination. Change for OBI 1 in Argument. E: . IB.' iz > . 1798. d h m s Nov. 27. 15. 56. 15-2 o t n 122. 33. 30-85 24-54 66-31 * > 1.14 e * 1.42 19 32-1 e * 1.57 \\ 08 O f ff 85. 7.22-57 20-40 62-17 e * 4.91 0.67 \ 12-8 2.62 7.25 28.16.51.48-7 136.49.6664 59-39 67-25 2.25 2.85 7.61 1.21 11 31-9 1.29 08 84. 46. 55-38 44-34 71-04 4.55 0.88 10-5 30. 18. 35. 28-3 165. 52. 43-51 35-19 68-32 5.30 3.14 7.74 0.61 08 31-3 0.74 11 85. 4.35-27 24-66 70-61 4.90 1.33 7-7 Dec. 1.19.24.39-2 180. 35. 65-99 56-80 69-19 7.04 3.18 7.53 0.32 12 31-0 0.51 13 85. 42. 47-70 44-12 63-58 5.61 1.53 7-4 11. 3.31.18-0 309. 45. 45-67 3669 68-98 12.72 1.39 1.37 1.46 30 27-7 0.62 49 95. 2. 52-51 72-66 39-85 15.76 1.21 29-7 12. 4.19.41-9 322. 37. 33-89 28-79 65-10 11.67 1. 22 0.84 1.39 20 27-4 0.87 51 95.13.29-96 35-75 54-21 15.93 1.02 32-4 15. 6.26.14-5 359. 42. 42-97 48-12 54-85 7.47 0.97 0. 24 0.61 08 26-4 1.73 52 94. 16. 48-94 62-59 46-35 14.83 1.47 38-2 19. 9. 11.33-5 49. 9.32-10 34-08 58-02 1.91 1.28 1.83 0.04 38 24-8 2.64 41 90. 30. 29-39 20-46 68-93 10. 62 0.10 39-5 20. 9.59.38-0 62. 7.37-30 39-89 57-41 0.97 1.47 2. 55 0. 22 47 24-4 2.76 37 89. 19. 52-66 38-01 74-65 9.33 0. 11 38-4 21.10.51.54-9 75. 27. 38-80 41-62 57-18 0.33 1.69 3.35 0.49 52 24-1 2.82 33 88. 9.24-66 19-36 65-30 8.04 0.17 36-7 26.15.41.12-7 146. 48. 45-35 38-81 66-54 2.76 2.92 7.02 1.49 24 22-5 2.29 13 84.51. 0-27 0-69 59-58 4.51 1.06 21-7 28.17.22.28-0 176. 10. 63-31 57-64 65-67 5.95 3. 16 7.70 1.08 09 21-5 1.78 09 85. 37. 38-51 38-56 59-95 5.44 1.49 15-0 1799. Jan. 11. 4.21.27-8 354.36.11-05 12-87 58-18 8.42 0.99 0.66 1.32 16 16-8 0.45 46 94. 20. 20-46 23-73 56-73 15.04 0.52 24-7 13. 5.40.27-9 18. 55. 58-28 54-86 63-42 5.38 1.00 0.23 0.78 07 15-8 0.94 51 92.51. 0-15 16-92 43-23 13.34 0. 25 30-4 14. 6.20.49-6 31. 7.59-48 60-41 59-07 3.94 1.07 0.28 0.47 09 15-5 1.22 52 91.53.43-07 43-95 59-12 12.25 0.16 32-9 15. 7. 3.18-3 43. 30. 11 : 19 10-55 60-64 2.63 1.19 0. 51 0.21 14 15-2 1.51 53 90.50. 2-54 4-91 57-63 11.05 0. 11 35-0 16. 7.49. 0-6 56. 8. 56-20 51-52 64-68 1.52 1.35 0.90 0.04 22 14-9 1.80 52 89.42.47-41 45-17 62-24 9.77 0.10 37-0 17. 8. 38. 47-8 69. 9.52-33 53-48 58-85 0.69 1.55 1.46 0.00 32 146 2.07 50 88. 34. 33-28 28-35 64-93 8.49 0.14 38-6 18. 9.33. 0-4 82. 37. 39-41 42-07 57-34 0. 18 1.78 2.13 0. 11 42 14-2 2. 32 47 87. 28. 49-25 46-80 62-45 7.27 0.23 J39-6 19.10.31. 1-8 96. 34. 19-96 17-61 62-35 0.03 2.03 2.88 0.34 50 13-6 2.52 44 86. 29. 52-85 52-64 60-21 6.17 0. 37; 40-0 21. 12. 33. 33-0 125. 46. 52-75 50-54 62-21 0.93 2.56 4.59 0.98 53 13-0 2.79 36 85. 10. 47-02 46-56 60-46 4.71 0.76 38-6 23. 14. 26. 0-0 155. 59. 14-25 4-29 69-96 3.30 2.99 6.12 1.46 39 12-4 2.82 27 85. 7. 18-95 13-95 65-00 4.68 1.23 34-1 24. 15.17.48-1 171. 7. 55-63 45-49 70-14 4.89 3.12 6.76 1.52 29 121 2.75 22 85. 36. 28-78 26-40 62-38 5.25 1.45 31-1 Feb. 9. 3.36.42-0 14. 7. 2-04 5-91 56-13 6.32 0.98 0.87 1.41 21 7-3 0.04 36 92. 56. 64-63 57-71 66-92 13.61 0. 28 14-3 12. 5.40.57-6 50. 43. 24-84 13-73 71-11 2.19 1.24 0. 24 0.64 07 6-3 0.50 47 89. 55. 24-38 29-20 55-18 10. 18 0.10 22-2 13. 6.27.55-5 63. 18. 25-56 17-18 68-37 1. 18 1.4L 0.37 0.34 11 6-1 0.74 50 88. 49. 26-44 25-93 60-51 8.92 0.12 25-2 17. 10. l'J.22'6 118. 7.27-16 23-52 63-64 0.47 2.40 2.49 0.20 46 5-2 ! 1.88 51 85. 19. 38-91 33-90 65-01 4. 910.67 36-0 19. 12. 11. 6-4 148. 27. 36-41 40-84 (55'63) 2.43 2.87 4.12 0.81 54 4-6 1 2. 3fe 47 85. 2.39-58 66-6 (32-97 4.561. 13 39-7 21.13.57.53-0 179.36.39-14 29-43 69-71 5.54 3.15 5.72 i.y, 44 4-2 2.72 39 86. 11. 27-3t 26-02 61-34 5.811.57 39-4 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub Sub Sub. Sub. Sub. Sub. 60'-00 7.02 hi. ob 4.00 6. 7C 30 20-8 K 1.4* 30 1 60-00 10. 21 1. 00 ; 23-7 GREENWICH LUNAR REDUCTIONS. 2 [A] [178] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. s ." a f Change for OB' 1 in Argument. Parallactic Inequality. Variation. Change for fls-1 1 in Argument. ii 1 < s c o a Change for 0"-1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. O cl.. /. =s 11* &% Etfect of Mean Inclination. Change for OS- 1 in Argument. 1' B^ t- r^ 0) 2. > . ''-. 1799. d b " ' O t 11 tf ft n ' \ \\ > e - \\ s: v \\ Q f ft tt ff e * \ V \ Feb. 22. 14. 48. 59'1 195. 4.26-45 19-89 66-56 7.29 3.18 6.40 1.50 34 4-0 2.80 35 87. 12. 20-60 20-83 59-77 6.95 1.74 38-0 24. 16. 32. 6-4 225. 9. 11-31 11-51 59'80 10. 64 3.00 7.42 1.35 15 3-6 2.80 25 89. 41. 33-39 43-49 49-90 9.76 1.90 33-3 Mar. 18. 9. 50. 48'7 140. 18. 19-30 4-76 74-54 1.66 2.74 2.13 0.10 42 0-5 1.09 52 84. 52. 60-64 50-42 70-22 4.50 1.03 28-0 20. 11.39. 35-1 171. 16.20-19 6-10 74-09 4.47 3.09 3.70 0.63 54 0-3 1.67 52 85.46.25-17 13-88 71-29 5.41 1.49 34-7 24. 15. 15. 19-3 233. 40. 42-23 47-34 54-89 11.19 2.93 6.71 1.52 29 0-1 2.62 42 90. 39. 8-35 16-06 52-29 10.76 1.90 39-9 25. 16. 12. 29-0 248.30. 7-98 10-69 57-29 12. 45 2.72 7.22 1.44 20 0-1 2.75 38 91. 56. 47-91 60-53 47-38 12.21 1.84 39-1 26. 17. 10. 64-3 262. 52. 38-18 34-49 63-69 13.36 2.48 7.58 1.24 12 o-i 2.82 33 93. 4.53-54 60-11 53-43 13.48 1.74 37-6 27.18. 9. 7-6 276. 48. 12-45 13-39 59-06 13.88 2.21 7.75 0.95 08 o-o 2.83 29 93.59.41-46 49-19 52-27 14.52 1.59 35-6 28.19. 5.28-1 290. 18. 62-36 59-82 62-54 14.01 1.95 7.75 0.63 08 o-o 2.78 24 94. 39. 42-30 30-11 72-19 15.28 1.41 33-3 April 12. 6.45.44-8 105. 42. 29-06 24-86 64-20 0.04 2.07 0.23 0.66 07 0-5 0.00 29 85. 27. 15-49 7-76 67-73 5.33 0.53 8-5 21.13.56. 2-6 241.16.45-12 48-33 56-79 11.69 2.86 5.67 1.36 44 1-4 1.75 52 91.25. 6-28 4-23 62-05 11.66 1.87 35-8 May 11. 5.31. 0-? 128.36. 9-26 6-25 63-01 0.56 2.43 0.24 0.82 07 5-0 0.25 17 84. 44. 62-66 57-81 64-85 4.54 0.89 8-0 12. 6.24. 3-9 142. 38. 34-23 42-73 51-50 1.40 2.68 0.27 0.51 08 5-2 0. 11 21 84. 44. 64-79 50-94 73-85 4.54 1. 11 7-5 15. 8.55. 1-8 186. 50. 63-36 50-76 72-60 5.74 3. 16 1.41 0.00 31 5-9 0.03 35 86. 40. 47-33 29-33 78-00 6.64 1.70 10-4 16. 9.45.41-7 202. 10. 28-93 16-49 72-44 7.50 3.18 2.08 0.09 41 6-3 0. 12 39 87. 52. 69-69 53-04 76-65 7.95 1.83 12'8 20. 13. 38. 24-9 263. 43. 34-07 38-20 55-87 13.16 2.54 5.29 1.24 48 7-3 0.96 51 93.15. 1-08 8-87 52-21 13.78 1.70 26-8 21.14.40.23-4 278. 27. 55-40 58-81 56-59 13.79 2.28 6.02 1.44 40 7-5 1.25 52 94. 11. 58-10 63-15 54-95 14.81 1.53 30-2 23. 16. 35. 13-2 306. 28. 56-77 63-96 52-81 13.84 1-76 7. 19 1.45 20 8-3 1.83 52 95. 12. 15-61 5'22 70-39 15.87 1.13 35-8 24. 17. 25. 39-8 319.45.42-07 43-22 58-85 13.31 1.53 7.56 1.25 12 8-5 2.10 50 95. 15. 11-08 14-47 56-61 15.91 0.92 37-6 26. 18. 54. 16-0 345. 9.27-62 30-39 57-23 11.35 1.18 7.75 0.66 08 9-1 2.54 44 94. 34. 54'88 64-85 50-03 15.15 0.55 39-8 27. 19. 34. 34-8 357.27.21-34 29-53 51-81 10.04 1.07 7.60 0.37 11 9-3 2.69 40 93. 55. 39-84 38-71 61-13 14.42 0.39 40-0 28. 20. 13. 49-5 9. 37. 10-51 13-85 56-66 8.58 1.00 7.25 0.15 18 9-6 2.79 36 93. 5.75-26 59-82 75-44 13.51 0.26 39-8 I June 8. 4. 20. 40-4 138. 20. 19-77 10-29 69-48 0.83 2.53 0.53 1.25 14 13-0 1.12 08 84. 48. 16-42 8-87 67-55 4.51 1.07 16-1 9. 5.11.48-0 152. 27. 31-67 22-85 68-82 1.82 2.77 0.29 0.99 09 13-3 0.85 10 85. 1. 52-60 34-43 78-23 4.78 1.28 13-3 10. 6. 1. 0-0 166. 47. 36-80 32-22 64-58 3.13 2.97 0.23 0.67 07 13-6 0.60 12 85. 33. 60-06 38-28 81-78 5.40 1.48 10-8 11. 6. 49. 12'3 181. 20. 28-95 28-25 60'70 4.69 3.11 0.34 0.37 10 13-9 0.39 15 86.23.25-12 9-49 75-63 6.33 1.66 9-0 13. 8.27.42-9 211. 1.37-02 37-73 59-29 8. 17 3.16 1.09 0.01 26 14-5 0.09 22 88.43. 6'42 6-05 60-37 8.94 1.88 7-4 15. 10.17.11-3 241. 13.20-16 20-87 59-29 11.36 2.91 2.38 0.18 45 15-4 0.00 31 91.25.43-25 41-91 61-34 11.93 1.86 9-1 16.11.17.13-8 256. 18. 7-10 16-86 50-24 12.58 2.69 3.17 0.44 52 15-7 0.05 36 92. 40. 37-32 31-22 66-10 13.29 1.76 11-2 Sub. Sub. Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. K \ 1. 42 Snb. 30 Sub. 6o'-00 Sub. t \ 10.21 Sub. i. oo. Sub, 23-7 60-00! 7.02 2.00 4. 00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [179] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. |i-| Excess of Observed Longitude. 5 I" .r- 3 a* a i Change for OS- 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. Annual Equation. Evection. Change for Os- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. 5s. . H z ' =.1 m Change for 0*-1 1 in Argument. C ^ c "t 1799. d h '" ' O / H <> g * * \ \\ g v > o / // '< H K * V June 22. 16. 49. 1-8 340. 0. 58-82 61-04 57-78 12.07 1.27 7.39 1.37 16 17-6 1.33 53 94. 39. 16-90 2-2-49 54-41 15.33 ). 60 29-5 23.17.30.45-8 352.34.43-12 44-87 58-25 10.88 1. 13 7.67 1.13 10 18-2 1.62 52 94. 3.52-17 56-02 56-15 14.65 0.43 32-0 24. 18. 10. 41-0 4. 53. 43-88 51-86 52-02 9.50 1.03 7.78 0.83 07 18-6 1.90 51 93. 17. 41-56 44-85 56-71 13.77 0.30 34-5 July 7. 3.58.49-4 162.28.61-82 36-00 (85-82) 2.28 2.85 0.72 1.35 18 22-7 1.89 09 85. 32. 72-51 52-98 (79-53) 5.25 1.45 25-5 10. 6. 23. 23-2 206. 7. 39-30 36-42 62-88 7.08 3.18 0.26 0. 53 08 24-0 1.05 09 88. 28. 42-27 26-81 75-46 8.60 1.86 15-4 12. 8. 7.33-6 235. 29. 38-91 43-55 55-36 10.46 3.02 0.84 0.06 21 24-6 0. 54 13 91. 3.17-13 14-30 62-83 11.51 1.88 10-2 16. 12. 5. 13-8 293. 38. 7-53 15-36 52-17 13.99 2.08 3.58 0.60 53 26-2 0.01 28 94.44.55-84 50-87 64-97 15.64 1.28 8-0 16. 12. 7. 39-6 293. 39.27-19 37-92 49-27 13.99 2.08 3.58 0.60 53 26-2 0.01 28 94. 44. 58-30 53-27 65-03 15.64 1.28 8-0 19.14.41.43-0 334. 24. 39-02 36-11 62-91 12.70 1.38 5.97 1.44 41 27-1 0.19 41 94. 40. 32-77 27-65 65-12 15.50 0. 6(i 13-3 21. 16. 6. 5-8 359.48. 3-46 5-39 58-07 10.37 1.09 7. 16 1.46 21 27-7 0.58 48 93. 24. 54-58 57-61 56-97 14.06 0.33 18-4 Aug. 5. 3.32. 11-7 186. 56.58-64 46-19 72-45 4.30 3.08 0.97 1.43 23 32-3 2.52 16 87.11.15-62 9-88 65-74 6.99 1.74 34-3 9. 6.58.36-8 245.31.33-47 29-63 63-84 11.03 2.95 0.33 0.39 10 33-6 1.54 08 92. 6.45-00 45-22 59-78 12.60 1.82 21-2 12. 9.55.21-5 288. 14. 39-90 49-32 50-58 13.84 2.24 1.68 0.02 36 34-3 0.71 11 94. 38. 43-65 46-69 56-96 15.60 1.34 12-0 13.10.51.45-7 302. 5.33-32 46-82 46-50 14.01 1.98 2.38 0. 17 45 34-6 0.48 13 94. 57.51-95 46-69 65-26 15.87 1.13 10-0 17.14. 1.25-4 354. 40. 51-78 55-19 56-59 11.18 1. 16 5. 6-2 1.34 45 35-7 0.00 29 93. 33. 30-22 33-94 56-28 14. 32 0.37 7-8 19.15.21.27-3 19.24.42-07 40-26 61-81 8.39 0.99 6.91 1.51 26 36-2 0. 10 38 91.43.56-49 58-00 58-49 12. 27 0.16 10-0 24.19. 6.43-3 80. 59. 27-27 29-38 57-89 1. 50 1.3o 7.49 0.27 14 37-4 1.18 52 86. 36. 73-53 57-21 76-32 6.47 0.32 21-9 Sep. 4. 3.58.23-7 226.20. 1-00 2-10 58-90 8.42 3. 15 0.75 1.36 18 39-3 2.76 23 90. 43. 15-32 13-00 6-2-32 10.89 1.89 38-1 5. 4.53.47-2 241. 6. 14-24 7-72 66-52 10. 10 3.05 0.40 1. 15 11 39-4 2.64 19 91. 59.35-80 31-45 64-35 12.32 1.84 36-1 6. 5. 51. 39-7 255. 37. 35-90 27-51 68-39 11.66 2.88 0.25 0. 86 08 39-6 2.47 15 93. 6. 49-25 50-31 58-94 13.60 1.72 33-5 7. 6.50.58-2 269.53.21-51 17-72 63-79 12. 73 2.66 0.26 0.54 08 39-7 2.26 12 94. 1.11-77 15-12 56-65 14.63 1.57 30-6 8. 7.49.53-7 283. 53. 15-02 13-71 61-31 13.54 2.41 0.44 0.26 13 39-8 2.01 10 94.40. 5-15 5-69 59-46 15.38 1.38 27-3 13.11.56. 12-9 349. 56. 37-92 43-04 54-88 11.93 1.25 3.52 0.58 53 40-5 0.65 12 93. 47. 35-85 45-13 50-72 14. 54 0.41 12-8 13.11.58. 17-5 349. 57. 39-6? 46-81 52-86 11. 92 1.25 3.52 0.58 53 40-5 0.65 12 93. 47. 44-99 41-37 63-62 14.54 0.41 1-2-8 14. 12. 38. 52-1 2.28. 13-26 19-11 54-15 10.70 1. 12 4.36 0.91 53 40-6 0.42 14 92. 57. 15-26 15-01 60-25 13.62 0.28 10-7 15. 13. 18. 37-9 14. 48. 12-34 20-79 51-55 9.31 1.02 5. 17 1.21 49 40-7 0.24 18 91. 58. 62-25 59-95 62-30 12.56 0.18 9-2 17. 14. 39. 42-3 39. 8. 10-44 20-47 49-97 6.28 0.98 6.58 1.51 32 41-0 0.03 26 89. 50. 12-07 3-75 68-32 10. 19 0.10 7-5 18. 15. 2-2. 52-2 51.15.59-84 60-67 59-17 4.79 1.02 7.12 1.47 22 41-1 0. 00 30 88. 44. 44-83 44-54 60-29 8.97 0. 1-2 7-5 20. 16. 57. 53-6 75. 51. 27-08 18-48 68-60 2.15 1.25 7.73 1.02 08 41-2 0.12 39 86. 45. 34-19 23-20 70-99 6.75 0.28 8-9 22. 18. 44. 32-6 101.29.43-31 42-06 61-25 0.44 1.64 7.63 0.41 11 41-3 0.47 47 85. 18. 55-27 53-21 62-06 5. 12 0.59 12-2 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0. 76 Sub. 30 Sub. 20-8 Sub. 1 . 42 Sub. 30 Sub. 60*00 : Sub. 10.21 Sub. 1. 00 Sub. 23-7 2.00 4.00 2 [A] 2 [180] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. t- 3 -3 1J5 8 ,* & 6 r* I C/i 14- 9 O tJ Excess of Oliserved Longitude. >-, t> * H ~ cr u c Change for OS- 1 I in Argument. Parallactic Inequality. Variation. Change for OB- 1 in Argument. __ a 5-2 c ffl '-- 1799. *' o / // ii g " V U \ XV s " s % " O 1 II II II s * \ XV * Sep. 24. 20. 35. 25'5 128.48.24-33 29'0( 55-27 0.08 2. 14 6.83 0. 06 26 41-5 0.97 51 84. 47. 53-45 57-40 56-05 4.50 1.01 17-7 25.21.29.27-5 143. 11.13-61 22-1S 51-42 0.48 2.41 6.22 0.08 37 41-5 1.26 52 84. 59. 44-45 50-30 54-15 4.68 1.23 21-2 Oct. 8. 8.26.26-6 320. 12. 40-95 39-11 61-84 13.88 1.79 0.60 0. 15 16 41-5 2.41 14 95. 6. 30-84 43-26 47-58 15.80 0.81 33-7 9. 9. 12.21-1 333. 7.12-56 10-37 62-19 13.39 1.56 1.05 0.02 25 41-4 2.19 12 94.42.41-00 50-15 50-85 15.38 0.61 31-1 10. 9.55. 8-2 345. 46. 67-69 59-37 68-32 12.57 1.36 1.63 0.02 35 41-4 1.94 10 94. 5. 15-59 27-10 48-49 14.72 0.45 28-3 11.10.35.49-3 358. 15. 14-67 5-52 69-15 11.49 1.20 2.33 0. 16 45 41-3 1.67 08 93. 16. 39-55 51-26 48-29 13.84 0.30 25-2 14.12.37.42-5 34. 56. 51-67 53-84 57-83 7.24 0.97 4.76 1.05 52 41-1 0. 84 10 90. 9. 36-31 38-82 57-49 10.46 0.10 16-8 15. 13. 20. 6-0 47. 4.46-93 52-14 54-79 5.71 0.99 5.56 1.32 46 41-0 0.59 12 89. 2.37-35 41-19 56-16 9.25 0.11 14-3 17.14.52.47-5 71. 30. 38-06 38-97 59-09 2.89 1.16 6.87 1.51 27 40-8 0.20 19 86. 58. 33-95 31-07 62-88 6.99 0.26 10-4 Nov. 6. 7. 54. 28-5 341.47.20-83 23-56 57-27 13. 11 1.48 0.42 0.27 12 37-8 2.80 25 94. 20. 20-30 28-89 51-41 14.87 0.48 39-4 7. 8. 35. 35-4 354. 16. 54-73 63-14 51-59 12.19 1.29 0.78 0.07 20 37-6 2.70 21 93. 34. 57-46 53-32 64-14 14.04 0.33 38-3 8. 9.15.14-7 6. 35. 18-50 12-13 66-37 11.02 1.15 1.29 0.00 30 37-4 2.56 17 92. 39. 53-05 60-70 52-35 13.04 0.22 36-9 9. 9.54.33-4 18. 46. 25-81 17-16 68-65 9.66 1.04 1.93 0.06 40 37-2 2.37 14 91.38.12-84 22-54 50-30 11.92 0.14 35-0 12.12. 2.29-4 55. 14. 27-76 27-57 60-19 5. 14 1.01 4.30 0.88 54 36-4 1.60 08 88. 19. 26-5-2 28-42 58-10 8.31 0.15 27-5 J6. 15. 25. 95 105. 15. 30-87 27-95 6-2-92 0.58 1.58 7.09 1.47 22 35-5 0.53 13 85. 5.52-84 55-12 57-72 4.85 0.69 16-1 | 17. 16. 18. 24-4 118.15. 13-36 11-05 62-31 0.12 1.82 7.49 1.30 14 35-0 0.32 16 84. 47. 56-02 41-78 74-24 4.54 0.89 13-5 19.18. 0.41-0 145. 6. 15-60 15-67 59-93 0.36 2.34 7.77 0.72 07 34-5 0.06 24 85. 0.43-50 43-46 60-04 4.83 1.30 9-4 20. 18.49.27-1 159. 3. 6-17 6-99 59-18 1.06 2.60 7.64 0.42 10 34-3 0.00 28 85. 33. 37'04 39-58 57-46 5.45 1.50 8-1 Dec. 8. 9.14. 3'1 38.50.61-88 58-39 63-49 7.62 0.97 1.59 0.01 34 28-9 2.78 24 89. 45. 40-38 50-80 49-58 9.78 0.10 39-9 9. 9.57.15-8 51. 0.41-81 36-46 65-35 6.08 0.98 2.28 0. 14 44 28-6 2.67 20 88.40.44-10 36-65 67-45 8.58 ). 14 39-2 11.11.32.40-2 75. 43. 30-41 28-68 61-73 3.20 1.13 3.88 0.70 54 27-7 2.31 13 86.42.41-18 41-69 59-49 6.43 0.33 36-6 12.12.27. 2-4 88. 22. 10-30 13-92 56-38 1.99 1.27 4.71 1.03 52 27-4 2.07 10 85.55.32-76 37-12 55-64 5.58 0.47 34-5 ' 31. 4.27.36-6 344. 30. 20-60 26-61 53-99 3.30 1.53 0.78 1.38 19 20-8 1.50 53 93.52.22-11 38-21 43-90 14.52 0.41 22-9 1800. Jan. 2. 5. 50. 4'9 9.51.52-89 53-15 5974) 11. 33 1.18 0.26 0. 89 08 20-1 2.00 50 92. 5. 17-78 42-66 (35-12) 12.48 0.17 28-7 3. 6. 29. 55-5 22. 7. 5-2-04 62-43 (49'61) 10.01 1.06 0.25 0.58 08 19-5 2.30 48 91. 3.48-31 36-93 71'38) 11.31 0.12 31-0 12. 13.53.59-3 136. 30. 1-41 5-32 56-09 0.03 2.01 5.82 1.40 42 16-2 2.25 12 85. 7.46-08 46-61 59-47 4.66 1.21 37-2 16. 16. 17. 52-5 78. 17. 16-64 22-0-2 54-62 1.84 2.77 7.47 1.32 14 15-2 1.45 08 87. 9. 45-99 41-95 64-04 6.99 1.74 29-5 30. 4.24.43-6 16. 56. 30-25 30-41 59-84 10.85 1. 13 0.60 1.30 18 10-3 0.99 52 91.13.60-31 55-14 65-17 11.67 0. 13 15-2 . 31. 5. 5. 19-6 29. 15. 22-76 25-01 57-75 9.48 1. 03 0.33 1.06 10 10-0 1.28 53 90. 9. 20-40 18-28 62-12 10.46 0. 10 18-0 | Sub. Snb. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub 60-00 7.02 2. 00 4. 00; 0. 76 30 20-S K v 1.42 u 30 eo'-oo 10. '2\ Loo 23- " SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [181] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. fij* .s-1 wj Change for 0?-1 1 in Argument. Parallactic Inequality. Variation. Change for 0='- 1 1 in Argument. Annual Equation. Evection. Change for O 1 -"! 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. OS. . v a* ^ II pi Change for OS- 1 in Argument. ^ '? > ^. 1800. d b ' ' l> tt " 8 v V V\ s * g * r " " " e * < > Feb. 1. 5.47. 3-3 41.26.11-79 14-24 57-55 7.98 0.98 0.22 0.75 07 9-7 1.57 52 89. 4.58-15 53-64 64-51 9.24 0.11 20-7 3. 7. 17. 32-7 65.49.40-11 42-80 57-31 4.94 1.02 0.55 0. 19 15 8-9 2.12 50 87. 6.27-98 20-81 67-17 6.99 0.26 26-3 4. 8. 7.21-1 78. 14. 39-36 41-17 58-19 3.52 1.10 0.97 0.03 23 8-6 2.36 47 86.17. 0-46 0-42 60-04 6.04 0.39 29-2 5. 8.59.59-1 90. 55. 11 -.61 15-78 55-83 2.26 1.23 1.55 0.01 34 8-4 2.56 43 85. 37. 39-35 36-84 62-51 5.28 0.65 32-0 6. 9. 54. 25-9 103. 54. 40-48 42-98 57-50 1.24 1.41 2.23 0.13 43 8-1 2.70 39 85. 10. 46-84 44-20 62-64 4.76 0.73 34-5 8.11.42.50-8 130. 53. 58-71 58-04 60-67 0.09 1.86 3.82 0.68 54 7-6 2.83 30 85. 3.33-14 27-64 65-50 4.58 1.15 38-3 10. 13. 26. 17-5 159. 4.17-00 16-36 60-64 0.44 2.38 5.45 1.29 47 7-1 2.73 22 86. 5.25-10 23-98 61-12 5.70 1.55 40-0 11.14. 14. 14-1 173. 26. 54-26 53-80 60-46 1.19 2.63 6. 17 1.47 38 6-6 2.59 18 87. 0.26-98 21-93 65-05 6.72 1.71 39-8 Mar. 5. 7.42. 5'1 98. 3. 34-38 30-31 64-07 1.84 1.29 0.72 0.10 19 2-1 1.65 52 85. 9.35-96 29-15 66-81 4.91 0.67 18-4 0. 8.36. 11-7 111. 3.49-51 49-57 59-94 0.92 1.48 1.21 0.00 28 1-8 1.93 51 84. 52. 68-21 44-95 83-26 4.56 0.86 21-4 7. 9. 30. 0-1 124. 26. 58-24 54-66 63-58 0.30 1.70 1.83 0.05 38 1-7 2. 19 49 84.52. 2-92 1-34 61-58 4.51 1.07 24-5 8. 10. 22.28-7 138. 14. 7-53 2-00 65-53 0.04 1.95 2.55 0.23 47 1-6 2.42 46 85. 8.53-80 48-78 65-02 4.79 1.28 27-8 9. 11.13.14-4 152. 24. 39-79 33-88 65-91 0.16 2.21 3.35 0.51 53 1-4 2.60 42 85. 43. 42-58 40-17 62-41 5.40 1.49 31-1 12. 13.42.31-5 196. 43. 55-70 54-48 61-22 2.81 2.93 5.77 1.39 43 1-1 2.83 29 88. 59. 40-28 38-06 62-22 8.95 1.88 38-4 13. 14. 33. 14 5 211.47.48-68 49-85 58-83 4. 33 3.08 6.45 1.51 33 1-0 2.79 25 90. 21. 33-46 31-40 62-06 10.45 1.90 39-6 15.16.23.29-2 241.50. 7-49 10-87 56-62 7.81 3.17 7.47 1.33 15 0-7 2.55 17 92.55. 4-89 10-82 54-07 13.29 1.70 39-5 April 1. 5.32. 11-3 92.47.21-21 9-74 71-47 2.55 1.20 0.23 0.77 07 0-0 0,38 45 85. 12. 35-95 24-92 71-03 5.06 0.61 7-7 2. 6. 25. 5-0 105. 24. 68-94 58-80 70-14 1.46 1.36 0.29 0.46 09 o-o 0.60 49 84. 50. 27-76 22-94 64-82 4.64 0. 80 8-6 6. 9.49.44-6 159. 33. 42-43 27-45 74-98 0.30 2.31 2.18 0.12 43 o-i 1.72 52 86. 4. 17-01 18-08 58-93 5.91 1.59 17-5 7. 10.38.23-1 174. 10. 53-39 40-08 73-31 0.97 2.57 2.94 0.35 50 0-2 2.00 51 87. 5.30-07 26-08 63-99 7.02 1.75 20-9 8.11.27.20-4 189. 11.41-85 36-05 65-80 2.00 2.80 3.76 0.66 54 0-2 2.25 48 88.20. 3-28 5-16 58-12 8.36 1.85 24-5 10. 13. 14. 6-1 220. 2.30-64 33-93 56-71 4.96 3. 12 5.40 1.28 47 0-3 2.64 41 91. 8. 58-66 62-76 55-90 11.41 1.88 31-8 1-2. 15. 12. 31-9 251. 1.50-49 46-95 63-54 8.47 3. 15 6.75 1.51 28 0-5 2.82 33 93.38.51-81 56-29 55-52 14.13 1.66 37-3 17. 20. 5. 12-9 323. 14. 6-84 4-29 62-55 13.96 2.13 7.53 0.32 12 1-0 2.29 13 94. 46. 18-84 20-58 58-20 15.37 0.61 38-1 30. 5. 10. 0-0 113.19.38-67 30-14 68-53 1.11 1.43 0.27 0.94 08 2-8 0.03 34 84. 44. 21-04 11-93 69-11 4.51 0.94 9-2 May 2. 6.50.51-5 139. 22. 19-05 15-48 63-57 0.07 1.89 0.37 0.33 11 3-1 0.25 43 85. 6.20-75 13-33 67-42 4.93 1.34 7-5 3. 7.39. 5-7 152. 56. 46-96 38-50 68-46 0.09 2.15 0.69 0. 11 18 3-3 0.44 46 85.42. 11-24 4-65 66-59 5.59 1.53 7-5 4. 8. 26. 28-7 166.57.51-53 45-84 65-69 0.51 2.41 1.17 0.00 27 3-4 0.67 49 86. 34. 10-52 12-46 58-00 6.55 1.69 8"2 5. 9. 14. 1-2 181. 27. 52-63 37-22 75-41 1.31 2.66 1.78 0. 04 38 3-6 0.93 51 87.41. 7-08 0-43 66-65 7.77 1.81 9-7 Sub. 60-00 Sub. e \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. a \ 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. i. oo Sub. 23-7 2.00 4. 00 [182] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich - - S r Ecliptic M -a S. t Mean Solar Time Longitude >H ,3 -If .H.' o o is' a o - o ,_. c a !! N.P.D. CO ^ C Z. I'd "8 .2 ? ^ c of of 1 1.5 ^ SJ t z'& '*- 5 '-J 3 of 3 SL Cz3 -i* t? 3 is 2 E .2 s. Observation Moon's Center Jl'l .- 3 a 4 -, EC If I '-* b) fcO - - t S>| Moon's Center 1 -3 . ' ( ^~ y ^ c a 3 be W) "z of from t/3 L C JJ W o **-" W g 1 < 1 i < "^ w" a 5< from 4J 3 l^i C/3 > > ^ = 5 ^ i- . Moon's Limb. Observation. ** 3.2 6.2 6.2 Observation. 3 Crj ;5 EC C.2 1800. d h m 3 ' a // ff g " \ u * " 1 g * ' '/ " " e ~~ V < May 6.10. 2.59-5 196. 25. 70-22 56-86 73-36 2.47 2.88 2.49 0.21 46 3-8 1.21 52 88. 59. 18-65 15-68 62-97 9.20 1.89 11-8 7.10.54.47-7 211.49.37-77 30-61 67-16 3.93 3.05 3.29 0.49 52 4-2 1.51 53 90.23.61-83 55-58 66-25 10.74 1. 90 14-8 8.11.50.41-9 227. 31.47-69 47-96 59-73 5.59 3.15 4.12 0.82 54 4-4 1.80 52 91. 48. 28-73 22-22 66-51 12. 27 1.84 18-2 8.11.53. 9-1 227. 33. 20-89 21-38 59-51 5.61 3.15 4. 12 0.82 54 4-4 1.80 52 91. 48. 36-50 30-26 66-24 12. 27 1.84 18-2 9. 12. 53. 51-0 243. 24. 49-63 54-97 54-66 7.37 3.18 5.00 1.14 51 4-6 2. 07 50 93. 5.22-01 19-09 62-92 13.66 1.72 22-2 17.20. 15.47-7 358. 18. 53-44 51-19 62-25 13.37 1.55 7.39 0.22 16 6-6 2.62 18 92.32.28-15 30-11 58-04 12.88 0.20 40-0 June 3. 8.40.32-0 204. 10. 23-37 8-49 74-88 2.99 2.95 1.46 0.00 32 11-3 0.29 44 89. 46. 49-95 44-87 65-08 10.12 1.90 7-5 6. 11.33.12-2 250. 52. 45-62 50-74 54-88 8.03 3.17 3.70 0.64 54 12-1 1.01 52 93. 35. 27-70 23-39 64-31 14.33 1.62 10-4 10.15.51. 11-5 312. 47. 40-26 39-86 60-40 13.40 2.46 6.75 1.62 29 13-6 2. 15 49 94. 53. 44-94 46-44 58-50 15.65 0.72 23-2 11. 16. 43. 19-9 327. 2.37-78 38-56 59-22 13.90 2. 20 7.25 1.43 19 13-9 2.38 46 94. 22. 56-33 59-93 56-40 15.05 0.52 26-8 12. 17. 30. 24-4 340. 43. 45-95 49-02 56-93 14.00 1.94 7.60 1.23 12 14-2 2.57 43 93. 38. 3-73 3-77 59-96 14.19 0.35 29-9 30. 6.33. 0-3 198. 18. 55-25 48-98 66-27 2.15 2.83 0.35 0.35 11 20-2 0.07 23 89. 27. 46-52 34-48 72-04 9.67 1.90 17-0 July 1. 7.21.59-6 212.50.41-57 35-08 66-49 3.54 3.01 0.66 0.12 18 20-8 0.01 28 90. 44. 34-26 28-52 65-74 11. 13 1.89 13-9 3. 9.13.52-7 243. 7.25-55 28-35 57-20 6.93 3. 18 1.78 0.03 37 21-4 0.06 37 93. 9.30-33 31-59 58-74 13.87 1.69 9-2 4. 10. 17. 33-8 258. 44. 48-49 50-57 57-92 8.69 3.14 2.49 0.20 46 21-8 0. 18 41 94. 5.45-27 43-46 61-81 14.92 1.51 7-9 5.11.24.13-0 274.29.11-26 14-09 57-17 10.35 3.03 3.29 0.47 52 22-1 0.35 45 94. 43. 48-08 42-18 65-90 15. 62 1.29 7-4 6. 12. 32. 49-7 290. 9. 10-20 10-59 59-61 11.78 2.85 4. 12 0.81 54 22-4 0.56 48 95. 0.13-15 11-29 61-86 15. 92 1.05 7-9 7. 13. 34. 45-5 305. 28. 44-91 42-00 62-91 12.90 2.62 4.94 1.13 51 22-7 0.81 50 94. 54. 39-59 35-56 64-03 15.81 0.81 o.o U i 9. 15.21.35-0 334. 39. 10-07 6-11 63-96 13.98 2.10 6.40 1.50 34 23-7 1.38 53 93.46.58-10 64-95 53-15 14.51 0.41 13-5 \ 10.16. 7.42-2 348. 24. 59-92 59-96 59-96 13. 94 1.84 6.98 1.49 24 24-0 1.67 52 92.53. 4-98 12-17 52-81 13.48 0.26 16-3 11.16.50.47-1 1.40.47-79 46-10 61-69 13.52 1.61 7.42 1.35 15 24-3 1.95 51 91.51.33-54 36-95 56-59 12.31 0.16 19-4 12. 17. 32. 14-7 14.31. 0-93 18-05 (42'88) 12.77 1.40 7.69 1. 10 09 24-6 2.21 49 90. 46. 29-62 6-83 (8279) 11.07 0.11 22-4 . 14. 18. 55. 27-0 39.21. 13-33 10-03 63-30 10.50 1.10 7.69 0.49 09 25-2 2.61 42 88.35.54-12 50-17 63-95 8.60 0.14 28-3 25. 3. 0. 59-5 166. 20. 56-87 26-97 89-90 0.12 2.18 1.17 1.45 26 28-9 1.57 08 87. 5.33-54 7-74 85-80 6.84 1.73 37-5 26. 3.45.35-1 180. 0.23-94 5-70 78-24 0.60 2. 45 0.69 1.34 17 29-2 1.28 08 88. 8.32-67 19-39 73-28 8.04 1. 83 35-4 27. 4.30.42-0 193.53.26-13 17-28 68-85 1.45 2.69 0.37 1.11 11 29-5 1.00 09 89. 19. 20-63 15-55 65-08 9.38 1.89 32-9 29. 6. 8. 3-1 222. 27. 56-88 52-18 64-70 4.14 3.07 0.27 0.50 08 30-1 0.50 13 91. 48. 23-72 14-64 69-08 12. 20 1.84 26-5 30. 7- 2.53-5 237.12. 5-94 5-06 60-88 5.83 3.16 0.48 0.23 13 30-3 0.30 16 92. 56. 43-99 47-05 56-94 13.51 1.74 22-9 31. 8. 2.40-2 252. 13. 26-99 31-40 55-59 7.60 3.17 0.87 0.05 22 30-6 0.15 20 93. 54. 30-44 27-30 63-14 14. 61 1.57 19-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. g \ Sub. Sub. 60 : 00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10. 21 i. oo 23-7 . SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [183] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. 1 Excess of Observed | Longitude. X CJ ** 11 - a Change for fls-l in Argument. Parallactic Inequality. Variation. Change for fls- 1 I in Argument. Annual Equation. Evection. Change for Of' 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Eclifltic 1 N. P. D. i ,H its < , w: T3 8 2 X l- W 'A Effect of Mean Inclination. Change forfls- ll in Argument. Erection in E. N. P. D. 1800. " " '" ' I /' " n e " \ \\ \ \\ ff ' x O ' '/ a n g ' , >> . Aug. 1. 9. 6.25-6 1. 9. 6.25-6 267. 27. 57-52 267. 27. 57-57 62-22 62-22 55-30 55-35 9.34 9.34 3.11 3.11 1.41 1.41 0.00 0.00 32 32 31-2 31-2 0.05 0. 05 24 24 94. 36. 22-25 94.36.24-01 21-51 21-51 60-74 62-50 15.42 15.42 1.37 1.37 15-9 15-9 2. 10. 11.32-9 282. 47. 52-58 59-70 52-88 10.92 2.97 2.08 0.10 42 31-5 0.00 29 94.58.51-58 43-68 67-90 15.86 1.14 12-9 3. 11. 14. 44-2 298. 3.28-00 28-75 59-25 12.24 2.77 2.88 0.32 50 31-7 0.02 34 94.59.54-11 45-53 68-58 15.90 0.90 10-4 4. 12. 13. 30-8 4.12.15.55-1 313. 4.41-21 313. 6. 6-31 38-90 5-13 62-31 61-18 13. 22 13.22 2.53 2.52 3.70 3.70 0.63 0.63 54 54 32-0 32-0 0.09 0.09 38 38 94. 39. 69-13 94. 39. 66-72 59-53 56-67 69-60 70-05 15. 55 15.55 0.68 0.68 8-7 8-7 5. 13. 9.20-1 3-27.45. 6-67 2-96 63-71 13.81 2.26 4.53 0.96 53 32-3 0.22 42 94. 1.60-26 59-51 60-75 14.84 0.47 7-7 7.14.43. 8-7 355.41. 16-37 6-85 69-52 13. 82 1.75 6.07 1.45 40 32-8 0.63 49 92. 7.56-06 66-16 49-90 12.73 0. 19 7-9 8.15.26. 3-1 8. 57. 66-43 56-33 70-10 13. 28 1.52 6.71 1.52 30 33-3 0.88 51 91. 0. 54-09 64-99 49-10 11.47 0.12 9-0 9. 16. 8. 2-8 21.51.17-75 9-76 67-99 12.42 1.33 7.22 1.44 20 33-6 1.16 52 89. 52. 28-69 40-82 47-87 10.19 0.10 10-5 10. 16.50. 19-8 34. 25. 54-16 43-80 70-36 11. 30 1.17 7.58 1.25 12 33-8 1.45 53 88.46. 8-24 9-21 59-03 8.94 0.12 12-6 11. 17.33.53-8 46. 47, 20-47 25-69 60-78 9.97 1.06 7.75 0.96 08 34-1 1.74 52 87. 44. 14-77 11-14 63-63 7.77 0.19 14-8 13.19. 7.41-8 71. 16.21-54 22-31 59-23 6.98 0.97 7.60 0.36 11 34-6 2.27 48 86. 2.59-70 47-00 72-70 5.83 0.42 20-2 28. 6.56.37-8 262. 12. 20-34 20-80 59-48 8.27 3.16 0.35 0.36 10 38-0 0.93 09 94. 35. 15-50 13-79 61-71 15.25 1.42 32-2 29. 7.59.49-9 277. 5.59-27 64-80 54-47 9.97 3.06 0.66 0. 13 17 38-2 0.67 11 95. 2. 7-81 7-83 59-98 15.78 1.21 28-7 30. 9. 2.15-1 291.58. 26-05 32-99 53-66 11. 45 2.90 1.13 0.01 27 38-3 0.44 14 95. 8.46-10 42-21 63-89 15.93 0.97 25-2 31.10. 1.23-3 306. 43. 33-66 43-46 50-20 12.65 2.68 1.73 0.03 37 38-7 0.25 17 94.54.52-15 45-80 66-35 15.70 0.76 21-7 Sep. 3. 12. 34. 40-3 349.26. 1-73 4-70 57-03 13.99 1.90 4.06 0.79 54 39-1 0. 00 30 92. 32. 44-40 48-39 56-01 13. 15 0.23 12-6 6. 14. 43. 47-1 29. 0. 35-00 29-44 65-56 12.03 1.27 6.36 1.50 35 396 0.26 43 89. 4.24-81 28-73 56-08 9.33 0.11 7-9 11. 18.40.57-8 90. 52. 10-69 7-28 63-41 4.88 1.02 7.70 0.51 09 40-3 1.53 53 85. 1.74-35 58-79 75-56 4.81 0.71 10-8 15.22. 5. 9-8 142. 16. 22-20 30-12 (52-08) 0.47 1.62 5.77 0.17 42 40;8 2.53 44 85.38.21-20 48-90 (32-30) 5.40 1.48 21-2 23. 3.49.59-1 242. 52. 50-66 37-06 73-60 5.42 3. 14 0.72 1.35 18 41-3 2.44 15 93. 41. 24-00 5-07 78-93 14.17 1.65 39-6 26. 6. 55. 34-8 287. 18. 35-78 33-24 62-54 10.57 3.00 0.27 0. 51 08 41-5 1.69 08 95.15.51-16 51-89 59-27 15.93 1.03 38-4 27. 7.54.47-1 301.49.40-70 42-70 58-00 11.95 2.82 0.48 0.23 13 41-5 1.41 08 95. 7.33-73 30-05 63-68 15.79 0.80 36-6 29. 9.40. 2-5 330. 9. 16-63 18-62 58-01 13.70 2.33 1.41 0.00 31 41-6 0.85 10 93. 56. 22-48 18-89 63-59 14.51 0.41 31-3 30. 10.26.42-9 343. 55. 14-44 20-77 53-67 14.00 2.07 2.08 0.09 41 41-6 0.60 12 92. 59. 39-83 31-48 68-35 13. 49 0.26 28-3 Oct. 2.11.53.26-1 2. 11. 55.32-1 10. 38. 28-48 10. 39. 28-80 24-06 30-61 64-42 58-19 13.45 13.45 1.58 1.58 3.64 3. 64 0. 61 0.61 53 53 41-6 41-6 0.21 0.21 18 18 90. 42. 54-44 90. 42. 57-22 56-90 50-81 57-54 66-41 11.02 11.02 0. 11 0.11 21-9 21-9 3.12.37.53-8 23. 37. 24-12 26-05 58-07 12.66 1.37 4. 47 0.94 53 41-6 0.09 22 89.31. 7-39 9-87 57-52 9.72 0.10 18-9 4.13.21. 0-3 36.21.22-18 18-50 63-68 11.00 1.21 5.29 1.23 49 41-6 0.02 27 88.22. 2-05 10'09 51-96 8.47 0. 14 KM Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 \ 7.02 X \s 2.00 4. 00 0.76 30 20-8 e \ 1.42 30 60-00 10. 21 V \\ 1.00 23-7 [184] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ) O Greenwich M- i> J i? .J Ecliptic **- CM _i .0 bo Mean Solar Time Longitude 3-2^ "S .s O C O C Si- O ' a ? " O c __ c c o ? N.P. D. "if O 'a. '= c ^ I 1 s ti of of c -= .5 W 3^ ^ 2-H .2 "3 s OS a C '*J **- of o . _ O y ^ 2 c -2 o CL Observation of Moon's Center from Isl x .3 i WO 5 f II i S" . I It c a c =_ B ii 3 tfj tc Moon's Center from 1 . llzi S 1 4) 3 be tr. is Moon's Limb. Observation. 15 o.S o.S o.S Observation. 1/1 EH a 1 6.s aw 1800. d h "" s / " II * g * e v i II " li 8 v ' Oct. 6. 14. 52. 23-0 61.16.20-26 13-27 66-99 8.88 1.01 6.67 1.52 30 41-5 0. 05 36 86. 24. 4-81 4-47 60-34 6.33 0.34 11-5 9. 17.23.46-0 98. 8.46-52 36-85 69-67 4.33 1.05 7.74 0.98 08 41-4 0.51 47 84.47.68-10 60-53 77-57 4.5S 0.84 7-7 10. 18.15.23-2 110.34.66-58 55-47 (71-11) 2.97 1.15 7.75 0.67 08 41-4 0.75 50 84. 42. 90-46 57-57 (92-89) 4.50 1.04 7-4 11.19. 5.57-0 123. 13. 17-37 15-82 61-55 1.81 1.30 7.60 0.38 11 41-3 1.02 52 84. 53. 10-39 10-23 60-16 4.69 1.23 7-7 14.21.28.42-0 163. 3. 6-92 5-52 61-40 0.03 1.96 6.12 0.09 38 41-1 1.89 51 86. 55. 43-85 53-51 50-34 6. 93 1.74 11-8 26. 7.37.34-0 325. 51. 10-24 9-86 60-38 13.32 2.49 0.34 0.37 10 39-8 2. 15 11 94. 11.28-99 29-71 59-28 14. 7< I 0.44 40-0 31. 11. 14. 52-6 31.33.61-73 54-84 66-89 12.29 1.31 3.17 0.44 52 39-1 0.79 10 88.48.18-20 25-57 52-63i 8.78 0. 13 32-2 Nov. 1.12. 0. 46-9 44. 8. 1-19 1-73 59-46 11.13 1.16 4.00 0.76 54 38-7 0.55 13 87. 43. 18-36 19-79 58-57 7.61 0.20 29-7 2. 12. 46. 39-8 56. 33. 46-44 48-33 58-11 9.79 1.05 4.82 1.08 52 38-6 0.34 16 86.45.31-60 33-99 57-61 6.57 0.31 26-8 3. 13. 34. 51-1 68. 54. 9-57 9-86 59-71 8.31 0.99 5.62 1.34 45 38-4 0.18 19 85. 57. 22-30 24-14 58-16 5.71 0.45 24-0 5. 15. 16. 22-7 93.27. 4-69 6-83 57-86 5.25 1.00 6.91 1.50 26 38-0 0.01 28 84. 56. 68-85 54-98 73-87 4.65 0.79 18-2 9.18.33.31-6 143. 28. 63-64 56-61 67-03 0.62 1.57 7.71 0.53 09 37-0 0.35 45 85. 44. 32-35 27-35 65-00 5.63 1.54 9-4 10. 19. 18. 57-0 156.36. 15-19 10-09 65-10 0.15 1.80 7.47 0.26 14 36-8 0.57 48 86. 32. 15-81 16-94 58-87 6.53 1.69 8-2 11.20. 3.50-6 170. 7. 62-83 57-39 65-44 0.04 2.05 7.06 0. 10 22 36-6 0.82 51 87. 32. 61-98 57-45 64-53 7.66 1.81 7-5 12. 20. 49. 22-0 184. 8.22-19 17-94 64-25 0.31 2.32 6.49 0.06 32 36-4 1.10 52 88. 44. 19-14 19-33 59-81 8.98 1.88 7-5 22. 5.33.53-3 321.21.53-30 69-64 43-66 12.80 2.64 0.38 1.13 11 34-0 2.83 28 94. 17. 55-20 55-24 59-96 14.88 0.48 32-9 25. 7.50.25-5 1. 58. 25-49 24-15 61-34 13. 96 1.87 0.46 0.25 13 33-0 2.52 16 91.23.44-19 41-54 62-65 11.59 0.13 38-9 26. 8.31.52-4 14.49. 7-69 4-07 63-62 13.59 1.63 0.84 0.06 21 32-7 2.32 13 90. 15. 22-35 12-67 69-68 10.31 0. 10 39-7 27. 9.13.27-7 27.26.52-71 45-33 67-38 12.88 1.42 1.37 0. 00 31 32-4 2.09 11 89. 7. 16-44 16-17 60-27 9.05 0.12 40-0 29.10.41. 1-2 52. 18. 16-58 11-40 65-18 10.65 1. 11 2.77 0.29 49 31-9 1.55 08 87. 4.40-90 40-53 60-37 6.80 0.28 38-9 30. 11.28. 12-8 64. 37. 38-72 32-02 66-70 9.25 1.02 3.58 0.58 53 31-6 1.26 08 86. 15. 12-68 9-29 63-39 5.89 0.41 37-7 Dec. 2. 13. 11. 6-2 89. 13. 22-85 22-64 60-21 6.19 0.98 5.23 1.22 49 30-7 0.72 11 85. 9.51-65 4950 62-15 4.72 0.75 33-9 3.14. 2.36-6 101.31. 4-10 4-48 59-62 4.69 1.03 5.97 1.43 41 30-4 0.49 13 84. 56. 50-32 49-18 61-14 4.51 0.94 31-6 4. 14. 53. 14-5 113. 50. 53-33 48-66 64-67 3.29 1.12 6.63 1.52 31 30-1 0.29 17 84. 57. 56-47 52-68 63-79 4.56 1. 13 29-0 25. 7.54.47-8 35.58. 6-59 4-14 62-45 12.53 1.35 0.60 0. 15 16 23-1 2.76 23 88. 12. 24-43 28-12 56-31 8. 10 0.16 34-5 26. 8.38.46-9 48. 19. 52-07 50-85 61-22 11.43 1.19 1.05 0.02 25 22-5 2.64 19 87. 14. 33-12 30-63 62-49 7.00 0.26 36-6 27. 9.25. 1-0 60. 36. 40-22 36-99 63-23 10.13 1.07 1.63 0.02 35 22-1 2.48 15 86. 24. 52-94 48-89 64-05 6.07 0.38 38-1 31. 12.49.26-9 109. 50. 13-94 16-46 57-48 4. 13 1.06 4.76 1.06 52 20-8 1.47 08 85. 2.35-38 31-68 63-70 4.53 1.09 39-6 1801. Jan. 1. 13. 39. 4-8 122. 16. 2-89 2-48 60-41 2.80 1.17 5.56 1.33 46 20-5 1.19 08 85. 16. 8-94 2-62 66-32 4.79 1.28 38-7 I Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub.: 60"-00 7.02 ?,. 00 4.00 0.76 30 20-8 1 . 42 W 30 60-00 10.21 \\ 00 93-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [185] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for Oe-1 in Argument. Annual Equation. Evection. Change forOs-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. oj- . !w . ijp II* Effect of Mean Inclination. Change for 06' J in Argument. IP." 1; w w 1801. d h ' O t II it H g * X V. \ \\ > g * Q f If rr " f * \ \\ \ Jan. 3.15.11.36-0 147. 23. 41-80 50-87 50-93 0.79 1.52 6.87 1.51 26 19-5 0.66 11 86. 23. 22-94 25-59 57-35 6.07 1.62 35-4 6. 17. 20. 28-2 186. 26. 29-06 29-39 59-67 0.21 2.25 7.77 0.86 07 18-5 0.11 21 89. 23. 64-34 59-24 65-10 9.50 1.89 27-3 2-2. 6. 35. 17-2 44. 0.55-05 54-79 60-26 12.14 1.28 0.26 0.65 08 13-0 2.70 40 87. 18. 55-92 49-11 66-81 7.24 0.23 21-7 24. 8. 9. 3-4 68. 39. 27-61 30-66 56-95 9.59 1.04 0.81 0.07 20 12-4 2.83 31 85. 46. 28-47 25-15 63-32 5.47 0.50 27-6 25. 8.59. 7-5 80. 54. 18-53 22 '98 55-55 8. 10 0.98 1.33 0.00 30 12-1 2.81 26 85. 17. 13-65 11-70 61-95 4.90 0.67 30-2 27. 10. 42. 7-4 105. 32. 53-98 60-91 53-07 5.04 I. 01 2.71 0.27 48 11-2 2.60 18 84. 58. 45-92 38-59 67-33 4.50 1.05 35-0 28.11.32.39-1 118. 0.42-78 42-51 60-27 3.61 1.09 3.52 0.56 53 10-9 2.42 14 85. 10. 43-21 35-83 67-38 4.70 1.24 37-0 29. 12. 23. 26-0 130. 36. 27-95 31-49 56-46 2.34 1.22 4. 36 0.90 54 10-6 2.20 12 85.36.51-00 44-29 66-71 5.17 1.42 38-4 Feb. 3. 16. 3. 11-4 195.48.26-83 34-42 52-41 0.38 2.35 7.51 1.30 14 8-9 0.84 10 90. 28. 35-20 29-98 65-22 10.58 1.90 37-9 4. 16. 49. 3-0 209.31.35-12 39-25 55-87 1.10 2.61 7.73 1.03 09 8-6 0.60 12 91.40.24-45 18-88 65-57 11.93 1.86 35-9 7. 19. 32. 29-6 252. 49. 57-76 49-90 67-86 5.23 3.14 7.31 0.18 17 7-8 0.08 22 94.31.58-23 67-27 50-96 15.22 1.43 27-0 18. 4.28.33-1 38. 46. 54-23 56-91 57-32 12.76 1.40 0.57 1.28 15 5-0 1.63 52 87.29. 4-47 5-60 58-87 7.58 0.20 8-8 20. 6. 2.20-6 63. 54. 55-64 60'72 54-92 10.46 1.10 0.22 0.72 07 4-6 2.17 49 85. 47. 60-22 51-08 69-14 5.66 0.46 12-0 23. 8.34.55-8 100. 49. 44-39 55-47 48-92 5.98 0.98 1.01 0.02 25 4-0 2.73 39 84. 49. 18-50 14-77 63-73 4.50 1.00 19-4 24. 9.25.55-9 113.13.49-95 53-31 56-64 4.48 1.04 1.59 0.02 35 3-8 2.81 34 84. 57. 58-60 51-88 66-62 4.62 1. 19 22-4 25.10.15.20-3 125.46.13-14 12-47 60-67 3.10 1. 14 2.28 0.15 44 3-6 2.83 29 85.20.65-10 58-43 66-67 5.02 1.38 25-2 26.11. 2.41-6 138.29. 3-58 3-34 60-24 1.92 1.28 3.06 0.40 51 3-2 2.80 25 85.58. 9-73 5-77 63-96 6.67 1.55 28-3 27. 11.48. 5-3 151.23.60-32 57-57 62-75 0.98 1.47 3.88 0.72 54 3-0 2.71 21 86.48.12-61 7-14 65-47 6.57 1.69 31-1 Mar. 4.15.35.43-8 219. 20. 12-49 14-34 58-15 1.47 2.70 7.31 1.40 18 2-2 1.61 08 92.38. 1-21 0-47 60-74 12.97 1.79 39-9 7.18.27. 2-1 262. 52. 18-34 21-08 57-26 5.89 3. 16 7.73 0.56 08 1-7 0.77 10 95. 1.47-55 55-19 52-36 15.67 1.27 37-6 19. 3.53.30-7 58.34. 8-49 4-20 64-29 11.27 1. 17 0.78 1.38 19 0-5 0.84 51 85.59. 10-30 10-28 60-02 5.91 0.41 8-0 21. 5.34.21-0 83. 28. 53-70 52-84 60-86 8.47 0.99 0.25 0.88 08 0-3 1.41 53 84.55. 6-02 0-77 65-25 4.72 0.75 7-5 24. 8. 7. 14-1 120.31. 8-31 14-59 53-72 3.95 1.07 0.78 0.08 20 o-i 2.24 48 85. 5. 6-09 2-60 63-49 4.87 1.32 10-5 25. 8. 55. 9'4 133. 4.48-00 49-96 58-04 2.63 1.19 1.29 0.00 29 0-1 2.45 45 85. 37. 16-08 7-50 68-49 6.45 1.50 126 26. 9.41. 8-8 145.51.39-29 37-50 61-79 1.53 1.35 1.93 0.06 39 o-i 2.63 4-2 86. 22. 47-68 41-98 65-70 6.27 1.65 14-8 27. 10. 25. 39-8 158.54.49-10 4654 62-56 0.69 1.55 2.66 0.25 48 0-1 2.75 37 87. 20. 29-51 24-50 65-01 7.31 1.78 17-7 23. 11. 9.30-9 172. 16. 35-93 24-60 71-33 0.18 1.77 3.46 0.54 53 o-o 2.82 33 88. 28. 15-56 4-97 70-59 8.59 1.86 20-7 30. 12. 41. 40-6 199. 58. 47-82 46-12 61-70 0.27 2.29 5.11 1.18 50 0-0 2.78 24 90. 59. 58-72 57-24 61-48 11.28 1.89 27-3 31.13.30. 16-5 214,16.21-31 24-51 56-80 0.89 2.55 5.87 1.41 42 o-o 2.68 20 92. 15. 6-48 2-85 63-63 12.65 1.81 30-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. iSub. Sub. Sub. 60-00 7* 02 2.00 4.00 0*76 30 20-8 i 1 . 42 30 60-00 > 10. 21 1.00 23-7 GREENWICH LUNAR REDUCTIONS, 2[B] [186] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. !!! Excess of Observed Longitude. W *** if Change for Oe-1 1 in Argument. Parallactic Inequality. Variation. Change for OS- ll in Argument. Annual Equation. Evection. Change for Os-1 in Argument. | Ecliptic N.P.D. of Moon's Center from Observation. Seconds of j Tabular Ecliptic 1 N. P. D. ; Excess of Ob- 1 served Ecliptic 1 N.P.D. Effect of Mean Inclination. Change for Oe-lj in Argument. c . I s - '*" Z ^ 1801. J h m s April 1. 14.22.48-1 1 II 228.49. 8-69 it 4-21 64-48 1.90 2.78 3.54 1.51 33 \ o-o s * 2.52 v\ 16 O 1 II 93.22.47-19 II 44-93 62-26 s * 13.87 1.69 \ 33-7 2.16.19.49-0 243. 33. 19-25 16-65 62-60 3.23 2.98 7.09 1.48 22 o-o 2.32 13 94. 17. 54-49 58-91 55-57 14.87 1.62 36-3 5. 18. 26. 50-1 288. 9.46-80 54-02 52-78 8.35 3.15 7.77 0.72 07 o-i 1.53 08 95. 12. 41-71 45-69 56-02 15.86 0.86 40-0 ' 8. 21. 12. 38-9 331. 49. 56-06 73-53 42-53 12.68 2.67 6.87 0.06 26 0-2 0.70 11 93. 11. 73-58 58"85 74-73 13.65 0.28 36-9 9.22. 0. 7'4 345. 58. 53-27 66-95 46-32 13.51 2.42 6.27 0.08 36 0-3 0.47 14 92. 4. 40-23 32-93 67-30 12.42 0.17 34-7 18. 4.16.59-7 90. 43. 29-21 22-60 66-61 7.89 0.98 0.60 1.29 15 1-0 0.42 46 84. 48. 48-55 26-98 81-57 4.55 0.88 12-0 19. 5. 8.36-7 103. 2. 19-65 16-29 63-36 6.35 0.98 0.33 1.04 09 1-1 0.65 49 84.46. 11-08 3-77 67-31 4.52 1.08 10-2 ' 20. 5.58.52-5 115. 20. 27-06 26-51 60-55 4.83 1.02 0.22 0.74 07 1-2 0.91 51 84. 58. 12-41 3-96 68-45 4.75 1.26 8-8 22. 7. 33. 16-2 140. 13. 33-64 44-69 48-95 2.19 1.24 0.55 0.18 15 1-5 1.49 53 86. 3. 29-84 26-37 63-47 5.97 1.60 7-4 23. 8.17.43-0 152. 58. 59-90 67-48 52-42 1.18 1.42 0.97 0.03 24 1-6 1.78 52 86.55. 7-61 6-59 61-02 6.93 1.74 7-6 24. 9. 1.14-8 166. 3. 33-31 33-99 59-32 0.46 1.63 1.55 0.01 34 1-7 2.05 50 87. 57. 30-40 32-00 58-40 8.08 1.84 8-3 25. 9.44.53-4 179.31. 1-76 1-15 60-61 0.08 1.87 2.23 0.13 44 1-9 2.29 48 89. 8.24-02 22-50 61-52 9.38 1.89 9-6 26. 10. 29. 53-2 193.24. 7-75 2-82 64-93 0.07 2.12 3.00 0.38 51 2-0 2.50 44 90. 24. 20-84 18-68 62-16 10.77 1.90 11-5 27. 11. 17. 33-8 207. 43. 13-90 12-45 61-45 0.45 2.39 3.82 0.69 54 2-2 2.67 41 91.40.63-14 56-27 66-87 12. 17 1.85 14-1 28.12.11.36-5 222. 28. 6-05 6-63 59-42 1.23 2.64 4.65 1.02 52 2-3 2.78 36 92.53. 5-82 1-64 64-18 13.48 1.74 17-2 29. 13. 8. 19-2 237.31.38-19 33-45 64-74 2.37 2.86 5.45 1.30 47 2-6 2.83 32 93. 54. 35-59 35-63 59-96 14.59 1.58 20-9 30.14. 9.52-1 252. 47. 62-71 55-82 66-89 3.82 3.04 6.17 1.47 38 2-8 2.82 27 94. 40. 26-57 22-86 63-71 15.41 1.38 24-5 May 2. 16. 19. 25-5 283. 23. 25-71 18-40 67-31 7.26 3.18 7.31 1.41 18 3-1 2.63 19 95. 10. 26-95 30-88 56-07 15.90 0.91 31-6 4. 18. 18. 15-4 313. 8.23-51 24-45 59-06 10.63 3.00 7.76 0.89 07 3-4 2.25 12 94.16.49-51 52-19 57-32 14.86 0.48 37-0 7.20.43. 8-1 355. 21. 40-95 55-88 45-07 13.72 2.32 7.12 0.11 21 4-2 1.45 08 91.11.28-44 29-21 59-23 11.39 0. 12 40-0 17. 3.51.51-9 110.34.41-19 40-85 60-34 5.77 0.99 0.81 1.39 20 6-3 0.04 35 85. 0.38-41 22-70 75-71 4.66 1.21 21-7 19. 5.26.58-4 135. 9.32-90 30-34 62-56 2.94 1.15 0.26 0.90 08 6-8 0.28 43 85. 55. 51-56 43-02 68-54 5.74 1.56 16-1 20. 6.11.14-4 147. 36. 29-72 29-19 60-53 1.78 1.30 0.25 0.59 08 7-0 0.48 47 86. 41. 51-30 44-76 66-54 6.61 1.70 13-7 21. 6.54. 6-7 60.17. 9-42 8-71 60-71 0.88 1.49 0.40 0.30 12 7-3 0.71 50 87. 38. 17-58 15-88 61-70 7.68 1.81 11-5 22. 7.36.35-2 173.17.22-43 18-21 64-22 0.28 1.71 0.75 0.09 19 7-8 0.98 51 88. 43. 33-51 25-65 67-86 8.91 1.88 9-7 23. 8.19.54-0 186.42. 30-44 27-07 63-37 0.03 1.96 1.25 0.00 28 8-0 1.27 52 89. 54. 44-41 43-45 60-96 10.24 1.90 8-3 24. 9. 5.26-5 200.37. 1-56 0-78 60-78 0.17 2.22 1.88 0.05 39 8-3 1.56 53 91. 8.43-47 44-46 59-01 11.63 1.87 7-6 25. 9.54.43-0 215. 3.27-11 27"23 59-88 0.70 2.48 2.60 0.23 47 8-5 1.85 52 92.21. 1-05 0-87 60-18 12. 97 1.79 7-5 26.10.49. 4-9 230. 1. 7-19 H-75 55-44 1.62 2.73 3.41 0.52 53 8-8 2.11 50 93. 26. 10-49 7'99 62-50 14.18 1.65 8"2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60 : 00 7.02 2.00 4.00 0. 76 30 20-8 1.42 30 60-00 10.21 \ v\ 1. 00 23-7 ' SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [187] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. >, V .- 11 if Change for OS- 1 in Argument. Parallactic Inequality. Variation. 1 ChangeforO*-! 1 | in Argument. Annual Equation. Evection. Changeforfls-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P. D. J..H . . Bgg Z-a*-. Z Z 3% Effect of Mean Inclination. Change for Os-1 in Argument. I* .2P* !* K W 1801. $ C . s^e = Wc; If* IS Effect of Mean Inclination. Chnnge for 0?'l in Argument. Erection in E. N. P. D. 1801. - Sep. 1. 19. 35. 12-9 t II 93. 57. 29-42 rr 33-14 n 56-28 * * 9.54 \ \v 1.04 \ v\ 7.56 g v 0.33 12 \ 38-8 f v 2.68 XV 40 O ' " 84. 46. 32-10 // 8-05 // 84-05 e * 4.50 1.05 11-7 15. 5. 55. 14-6 264. 6.56-36 49-39 66-97 3.64 3.02 0.24 0.63 07 40-6 0.63 12 95. 15. 16-56 11-72 64-84 15.90 1. 10 39-9 16. 6.58.20-6 278.56.21-61 22-70 58-91 5.30 3.14 0.37 0.33 11 40-8 0.41 15 95. 12. 63-29 58-52 64-77 15.87 0.86 39-2 18. 9. 0.33-7 309. 7. 8-51 12-14 66-37 8.81 3. 14 1.17 0.00 27 41-0 0.09 22 94. 5.61-82 53-53 68-29 14.66 0.43 35-4 19. 9. 56. 14-5 324. 16. 54-57 52-47 62-10 10.45 3.02 1.83 0.04 38 41-1 0.02 26 93. 5. 4-77 2-67 02-10 13.57 0.27 32-4 20.10.48. 7-2 339.21. 6-45 3-25 63-20 11.85 2.84 2.55 0.21 47 41-1 0.00 31 91.51.42-67 40-23 62-44 12.24 0.16 29-2 24.14. 1.38-0 36.59. 6-52 9-29 57-23 13.93 1.83 5.77 1.38 44 41-4 0.49 47 86. 48. 40-23 40-13 60-10 6.75 0.28 15-6 25.14.50.51-9 50.29. 9-67 8-06 61-61 13.50 1.60 6.45 1.50 34 41-5 0.73 50 85. 54. 56-42 50-82 59-60 5.78 0.43 13-1 27.16.34. 3-8 76. 27. 40-85 33-23 67-62 11.69 1.22 7.44 1.34 15 41-5 1.29 52 84.51. 45-37 41-73 63-64 4.65 0.80 9-2 28. 17. 26. 47-7 89. 2.22-50 17-77 64-73 10.41 1.09 7.70 1.09 09 41-5 1.59 52 84. 43. 8-62 4-41 64-21 4.50 0.99 8-1 30. 19. 9. 3-8 113.43.33-16 36-15 57-01 7.45 0.97 7.67 0.47 09 41-6 2.14 49 85. 9.62-28 54-23 68-05 5.00 1.37 7-5 Oct. 1.19.56.56-0 125. 59. 30-09 34-89 55-20 5.92 0.98 7.39 0.22 15 41-6 2.37 47 85. 43. 37-26 3599 61-27 5.62 1.53 7-9 12. 3.49.25-2 259. 44. 47-90 28-47 79-43 2.74 2.92 0.66 1.33 17 41-3 1.92 09 95. 10. 30-78 5-54 85-24 15.86 1.14 33-5 18. 9.28.48-0 347. 57. 13-56 8-65 64-91 12.31 2.75 1.46 0.00 32 40-8 0.35 15 91. 4.56-68 55-36 61-32 11.27 0.11 38-8 19. 10. 15. 36-0 2. 20. 57-62 52-35 65-27 13.25 2.51 2.13 0.11 42 40-7 0. 19 19 89. 46. 16-66 17-17 59-49 9.83 0.10 37-2 20.11. 1.56-0 16.33. 6-40 4-38 62-02 13.83 2.25 2.88 0.33 50 40-6 0.07 23 88. 29. 39-75 39-83 59-92 8.43 0. 14 34-9 22.12.39.48-7 44. 14. 58-55 61-56 56-99 13.81 1.74 4.53 0.97 53 40-4 0.01 32 86. 20. 44-52 43-89 60-63 6.10 0.38 29-2 23. 13. 30. 26-3 57.40. 9-36 11-81 57-55 13.25 1.51 5.34 1.26 48 40-3 0.06 37 85. 35. 13-35 12-17 61-18 5.29 0.54 26-0 24. 14. 22. 51-8 70. 47. 44-75 45-69 59-06 12.36 1.32 6.07 1.45 39 40-0 0.18 41 85. 4.50-05 46-40 63-65 4.76 0.73 22-9 26. 16. 9. 16-0 96.14.22-55 14-69 67-86 9.88 1.06 7.22 1.44 20 39-8 0.56 48 84. 50. 36-26 35-28 60-98 4.55 1.13 17-2 28. 17. 49. 32-4 120.54.50-67 45-77 64-90 6.88 0.97 7.75 0.95 08 39-5 1.08 52 85. 34. 27-35 16-19 71-16 5.41 1.49 12-4 29. 18. 35. 42-7 133. 8.57-33 55-32 62-01 5.35 1.00 7.75 0.63 08 39-4 1.37 53 86. 14. 57-62 50-40 67-22 6.18 1.64 10-5 30. 19.19.30-1 145. 26. 31-07 25-90 65-17 3.91 1.07 7.58 0.35 12 39-2 1.66 52 87. 5.63-30 55-67 67-63 7.14 1.76 9-0 Nov. 11. 4.48.26-7 299.34. 14-51 8-36 66-15 6.64 3.18 0.48 1.23 13 36'8 2.34 13 94. 23. 62-77 56-28 66-49 15.05 0.52 28-0 12. 5.45. 5-5 314. 20. 55-88 51-84 64-04 8.41 3.15 0.27 0.96 08 36-6 2.11 11 93. 34. 62-01 59-28 62-73 14. 11 0.34 31-3 14. 7.25.39-5 343. 14.51-95 44-87 67-08 11.53 2.88 0.37 0.34 11 36-2 1.56 08 91.21.39-53 44 12 55-41 11.59 0. 13 36-7 18.10.29.41-1 38. 39. 38-14 22-80 75-34 13.98 1.89 2.49 0.20 46 35-0 0.50 13 86.43. 4-47 10-55 53-92 6.40 0.33 39-8 . 19.. 11. 18. 53-0 52. 3. 9-67 5-78 63-89 13.64 0.65 3.29 0.47 52 34-8 0.30 16 85. 54. 44-92 4913 55-79 5.52 0.49 38-9 21.13. 5.53-2 78.14.58-73 55-83 62-90 11.96 1.26 4.94 1.12 51 34-3 0.05 24 85. 1.16-26 17-91 58-35 4.56 0. 87 t 35-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 \ v\ 2.00 4.00 0.76 H 30 20-8 1.42 u 30 6o"-00 e \ 10.21 i. oo 23 % -7 SKCT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [189] y Greenwich 00 . Z . i" J Ecliptic '-S 1 O .0 'Z . to . Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude, Excess | of Observec | Longitude M "- S. g s f Change for in Argument .S X II 11 fil Variation. li '-> ~ t bo < 0.2 Annual Equation. Evection. Change for C in Argumen N.P.D. of Moon's Center from Observation. Seconds o Tabular Eclij N. P. D. Excess of (J served Eclip 1 N.P.D. Effect of Mean Inclination ? O l If & c *"" Q .26." fz Htd 1801. d h '" ' O ' II " * X \ \\ e " \\ \ 8 \ O ' II a 9 g > \ \\ Nov. 22. 13. 59. 27-5 91. 0.33-74 29-74 64-00 10.74 1.12 5.72 1.37 44 34-0 0.00 29 84.57.31-38 31-52 59-86 4.51 1.07 33-3 24. 15.42. 0-1 115.65.10-41 1-57 68-84 7.83 0.98 6.98 1.50 25 33-2 0.09 38 85.33.12-15 8-37 63-78 5.23 1.44 28-0 25. 16. 29. 10-2 128. 9. 15-86 8-69 67-17 6.29 0.98 7.42 1.36 16 33-0 0.22 42 86. 9.59-83 51-09 68-74 5.93 1.60 25-2 26. 17. 13. 31-2 140. 20. 15-05 12-68 62-37 4.80 1.02 7.69 1.11 10 32-7 0.39 46 86. 56. 66-72 57-96 68-76 6.83 1.73 22-2 27. 17. 55. 40-9 152.33.58-17 50-41 67-76 3.40 1.11 7.78 0.81 07 32-4 0.62 49 87. 62. 45-85 40-59 65-26 7.90 1.82 19-4 28. 18. 36. 34-4 164. 56. 25-71 15-84 69-87 2.16 1.25 7.69 0.50 09 32-1 0.87 51 88. 55. 5-33 1-01 64-32 9.08 1.88 16-8 30. 19.59. 13-1 190. 33. 24-98 19-03 65-95 0.45 1.63 7.02 0.09 23 31-6 1.44 53 91. 10. 2-77 7-80 54-97 11.63 1.87 11-8 Dec. 9. 3. 37. 59-9 309. 12. 11-09 12-94 58-15 7.31 3.18 1.17 1.45 26 28-9 2.83 28 93. 40. 13-94 10-48 63-46 14.38 0.38 15-2 10. 4. 33. 2-6 324. 13. 56-82 59-61 57-21 9.06 3.12 0.69 1.34 17 28-3 2.77 23 92.39. 7-74 9-44 58-30 13.21 0.23 18-7 11. 5.23.25-0 338. 53. 27-97 28-68 59-29 10.66 3.00 0.37 1.11 10 28-0 2.65 19 91. 28. 49-31 53-36 55-95 11.87 0.14 22-2 12. 6. 10. 27-7 353. 10. 51-07 45-79 65-28 12.02 2.81 0.24 0.81 07 27-7 2.49 15 90. 14. 36-99 39-11 57-88 10.46 0.10 25-5 13. 6.55.42-7 7. 7.68-33 58-16 70-17 13.06 2.57 0.27 0.50 08 27-4 2.28 13 89. 1.18-40 14-66 63-74 9.07 0.12 28-7 14. 7.40.36-7 20. 48. 16-02 3-95 72-07 13.73 3.32 0.48 0.23 14 27-0 2.04 10 87.52.48-14 48-02 60-12 7.77 0.19 31-8 16. 9.14. 5-0 47.28.19-12 14-96 64-16 13.89 1. 80 1.41 0.00 32 26-4 1.49 08 86. 3.54-53 54-23 60-30 5.70 0.45 36-6 17.10. 4. 3-8 60. 32. 29-55 22-78 66-77 13.41 1.57 2.08 0. 10 42 25-8 1.21 08 85. 28. 13-70 13-50 60-20 5.02 0.62 38-2 18. 10. 56. 8-0 73.27.11-82 7-48 64-34 12. 61 1.36 2.83 0.31 49 25-4 0.93 09 85. 7. 1-81 2-06 59-75 4.62 0.82 39-4 19. 11.49.20-9 86. 12. 34-63 30-36 64-27 11.53 1.20 3.64 0.62 54 25-1 0.67 11 85. 0.52-36 51-93 60-43 4.50 1.02 39-9 19.11.51.41-5 86. 13. 42-63 42-13 60-50 11.62 1.20 3.64 0.62 54 25-1 0.67 11 85. 0.52-46 52-08 60-38 4. 50 1.02 39-9 21. 13. 35. 37-1 111.15.43-55 40-24 63-31 8.77 1.00 5.29 1.25 48 24-4 0.26 17 85.31.62-44 58-17 64-27 5.08 1.39 39-4 26.17.12.27-8 172. 23. 29-41 16-63 72-78 1.76 1.31 7.74 0.98 08 22-5 0.11 39 89.51. 7-50 1-09 66-41 9.96 1.90 30-2 30.20. 9.20-9 225. 1. 18-12 7-78 70-34 0.18 2.23 6.75 0.06 28 21-1 0.94 51 93. 55. 29-21 30-71 58-50 14. 62 1.57 18-0 1802. Jan. 9. 4.52.32-2 2. 26. 23-99 15-80 68-19 12.45 2.72 0.51 1.24 14 17-8 2.83 31 89. 9.15-32 19-77 55-55 9.39 0.11 13-1 10. 5.38.27-3 16. 29. 11-27 10-48 60-79 13.36 2.48 0.28 0.97 09 17-1 2.82 27 87. 57. 44-36 39-42 64-94 8.03 0.17 15-9 11. 6.24.28-7 30. 8.26-37 20-41 65-96 13.88 2.22 0.23 0.66 07 16-8 2.74 22 86. 55. 4-65 2-91 61-74 6.84 0.27 18-9 12. 7.11.41-9 43. 27. 47-26 44-00 63-26 14.01 1.95 0.35 0.36 10 16-5 2.62 18 86. 4. 9-08 7-68 61-40 5.86 0.42 21-9 14. 8.51.54-8 69. 22. 14-24 11-26 62-98 13.14 1.48 1. 13 0.01 26 15-8 2.22 12 85. 3.45-09 45-23 59-86 4.68 0.78 28-0 15. 9.44.25-1 82. 3. 5-92 4-87 61-05 12.23 1.30 1.73 0.03 37 15-5 1.97 10 84. 55. 48-17 47-97 60-20 4.50 0.97 30-9 16. 10. 37. 8-2 94. 35. 35-50 33-13 62-37 11.05 1.15 2.44 0.18 46 15-2 1.7C 08 85. 2.41-26 39-55 61-71 4.60 1.17 33-5 18. 12. 17. 50-5 119.19.31-30 33-78 57-52 8.21 0.99 4.06 0.78 54 14-2 1. 13 08 85. 57. 22-46 20-70 61-76 5.56 1.52 37-5 18. 12. 20. 4-3 119. 20. 38-44 40-14 58-30 8.20 0.99 4.00 0.78 54 14-2 1. 13 08 85. 57. 25-4C 24-24 61-16 5.56 1.52 37-5 Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sub. g \ % \t \ \* e > \\ \ S \ It K \ \ *\ . 60-00 7.022.00 4.00 0. 7fi 30 20-8 1.4S 30 60-00 10. 21 1.00 23-7 [190] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. |JT f-1 SJ Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. Change for Oe-1 in Argument. Annual Equation. Evcction. Change forOs-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Excess of Ob- I served Ecliptic 1 N. P. D. l 2*1 III *! 1 Change for 0=-1 I in Argument. ~d s . . |z W 1802. *'." Jan. 19.13. 6.19-1 O ' II 131. 34. 24-02 ti 24-80 a 59-22 g 6.67 0.97 \ \\ 4.88 e * 1.10 \\ 51 \ 13-9 s * 0.86 \\ 10 O / II 86. 42. 18-79 // 14-90 n 63-89 < 6.38 \ \\ 1.67 38-8 21.14.31. 0-7 155. 54. 57-50 56-21 61-29 3.72 1.09 6.36 1.50 35 13-3 0.39 15 88. 36. 45-63 40-52 65-11 8.48 1.86 40-0 22. 15. 10. 52-4 168. 7.42-80 44-37 58-43 2.45 1.21 6.95 1.50 25 13-0 0.22 18 89. 41. 34-84 29-56 65-28 9.68 1.90 39-9 > 27. 18. 50. 24-4 232.46.68-16 46-53 81-63 0.33 2.33 7.47 0.26 14 11-2 0.14 40 94.31.42-34 46-70 55-64 15.15 1.45 31-3 Feb. 5. 2.42.36-3 355. 46. 19-95 21-75 58-20 11.71 2.86 1.83 1.43 37 8-6 2.15 49 89.34. 1-94 6-84 55-10 9.91 0. 10 7, 9. 5.56.18-7 52. 8.57-20 57-55 59-65 13.95 1.86 0.24 0.83 07 7-6 2.81 34 85. 25. 44-01 43-58 60-43 5.28 0.55 10-5 i 11. 7.40. 2-6 78. 0.40-62 44-50 56-12 12.83 1.41 0.46 0.24 13 6-8 2.80 25 84. 47. 16-95 17-13 59-82 4.51 0.93 15-0 ! 12. 8.32.51-5 90. 34. 54-20 59-58 54-62 11.80 1.24 0.84 0.06 21 6-6 2.71 21 84. 51. 16-46 13-00 63-46 4.55 1.13 17-7 13. 9.24.44-2 102. 59. 24-89 26-07 58-82 10.55 1.10 1.37 0.00 31 6-3 2.57 17 85. 9.37-91 37-90 60-01 4.86 1.32 20-4 15.11. 1.40-9 127. 30. 21-68 17-57 64-11 7.63 0.97 2.77 0.30 49 5-9 2. 16 11 86. 24. 41-59 42-38 59-21 6.18 1.64 26-3 16.11.46. 3-4 139.41.66-91 50-27 66-64 6.09 0.98 3.58 0.60 52 5-6 1.90 09 87. 17. 53-79 52-81 60-98 7.14 1.76 29-0 ' 23. 16. 44. 11-5 227. 54. 39-03 34-40 64-63 0.10 2.17 7.74 1.00 08 4-0 0.18 19 94. 26. 17-93 28-49 49-44 14.97 1.50 40-0 25.18.35. 4-0 255. 42. 56-70 43-64 73-06 1.39 2.68 7.61 0.39 11 3-4 0.01 28 95. 15. 31-93 34-98 56-95 15.90 1.09 38-3 26. 19. 36. 58-1 270. 18. 34-45 18-27 (76'18) 2.69 2.90 7.28 0.16 18 3-2 0.01 32 95. 11. 52-11 81-26 (30'85) 15. 87 0.86 36-4 Mar. 6. 2. 6.31-5 17.49. 1-58 3-58 58-00 13.17 2.54 2.18 1.36 42 1-9 1.39 53 87. 34. 34-72 37-24 57-48 7.64 0.20 12-9 7. 2.56. 3-2 32. 20. 43-28 43-01 60-27 13.79 2.28 1.50 1.46 32 1-8 1.68 52 86. 28. 24-75 23-05 61-70 6.44 0.33 10-5 9. 4.39. 0-5 60. 1.27-98 27-55 60-43 13.85 1.77 0.53 1.26 14 1-6 2.22 49 85. 2.37-42 36-18 61-24 4.88 0.68 7-8 11. 6.26.18-9 86. 4.58-76 67-59 51-17 12.46 1.34 0.23 0.68 07 1-3 2.62 42 84.43.50-17 46-14 64-03 4.52 1.08 7-6 12. 7.19.13-1 98. 39. 28-54 39-00 49-54 11.35 1. 18 0.34 0.38 10 1-2 2.75 38 84. 57. 54-00 50-74 63-26 4.77 1.27 8-4 13. 8. 10. 3-4 111. 1.36-38 45-55 50-83 10.03 1.07 0.63 0.14 17 1-0 2.82 33 85. 25. 52-26 47-96 64-30 5.27 1.45 9-6 14. 8.58. 8-9 123. 15. 58-93 60-41 58-52 8.57 1.00 1.09 0.01 26 0-9 2.83 29 86. 5.62-00 59-04 62-96 5.99 1.61 11-2 15. 9.43.22-6 135. 26. 47-55 47-95 59-60 7.04 0.97 1.68 0.02 36 0-8 2.78 24 86. 56. 36-66 34-53 62-13 6.91 1.73 13-3 16.10.26. 8-0 147. 38. 20-50 13-91 66-59 5.51 0.99 2.38 0.17 45 0-7 2.68 20 87. 55. 37-54 31-86 65-68 7.97 1.83 15-6 17.11. 7. 6-7 159. 53. 63-03 55-08 67-95 4.06 1.06 3.17 0.43 52 0-6 2.53 16 89. 0. 36-09 31-69 64-40 9.15 1.89 18-2 18.11.47.11-3 172. 16. 57 91 53-89 64-02 2.74 1.18 4.00 0.75 54 0-5 2.33 13 90. 8.64-76 55-05 69-71 10.39 1.90 21-2 21. 13. 54. 33-5 210. 34. 38-68 36-52 62-16 0.22 1.75 6.31 1.49 36 0-3 1.56 08 93. 23. 43-90 36-77 67-13 13.91 1.69 29-9 22. 14. 41. 40-3 223. 49. 22-05 19-29 62-76 0.03 2.00 6.91 1.51 26 0-2 1.27 08 94. 13. 45-21 45-14 60-07 14. 81 1.53 3-2-9 27. 19. 30. 37-8 294.34.10-41 6-78 63-63 4.70 3.11 7.47 0.27 14 0-1 0. 14 20 94. 22. 36-61 31-58 65-03 14.93 0.49 39-9 April 7. 4.15.33-7 80. 38. 13-63 14-89 58-74 13.03 1.46 0.75 1.36 18 o-i 1.47 53 84. 45. 67-86 58-62 69-24 4.54 1.02 13-3 Sub. 6o"-00 Sub. 7.02 Sub. Sub. Sub. e \ 0.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 10*. 21 Sub. V \\ 1.00 Sub 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. ill g rt 5 **j Excess of Observed Longitude. Elliptic Inequality. Change for 08-1 1 in Argument. I'arallactic Inequality. Variation. Change for '1 in Argument. Annual Equation. Evection. Change for tl 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. Excess of Ob- served Ecliptic 1 N.P.D. Effect of Mean Inclination. Change for OS- 1 in Argument. jjd > 1802. "*" O / II " V \ > ' e v v g \\ o / a II II e * X X \ April 10. 6. 52. 19'5 118.36. 8-4 18-31 50-10 9. 4 1.03 0.26 0.53 08 0-3 2.28 48 85. 53. 24-8 1822 66-59 5.78 1.57 8-3 11. 7.38.45-7 130. 48. 59-6 68-96 50-67 7. 9fi 0.98 0.4' 0. 2o 13 0-3 2.4S 45 86. 40. 12-4,. 4-55 67-88 6.65 1.70 7-6 12. 8.22.21-9 142. 59. 23-52 30-33 53-19 6.46 0.97 0.8 0. 06 21 0-4 2.66 41 87. 35.41-4S 39-51 61-98 7.68 1.81 7-4 13. 9. 3.51-2 155.11.56-04 53-15 62-89 4.95 1.01 1.33 0.00 30 0-5 2.77 37 88. 37. 71-1C 54-06 77-10 8.83 1.87 7-7 15. 10. 24. 20-4 180. 2. 17-73 12-55 65-18 2.28 1.23 2.7 0.28 48 0-7 2.83 28 90. 52. 43-5e 35-86 67-70 11.31 1.88 9-8 19. 13. 28. 19-8 232. 53. 13-1 3-70 69-41 0.06 2. 10 5.92 1.42 41 ri 2.28 12 94. 35. 47-72 45-35 62-37 15.36 1.39 19-9 21.15.22.48-1 261. 3.12-55 1-73 70-82 1. 16 2.62 7.12 1.46 21 1-4 1.76 09 95. 9.26-9' 28-92 58-05 15.93 0.96 26-8 23. 17. 24. 41-5 290. 1. 15-22 17-79 57-43 3.71 3.03 7.74 1.01 08 1-6 1.19 08 94. 27. 33-8E 36-82 57-07 15.10 0.53 33-1 25. 19. 17. 29-6 319. 22. 40-26 52-93 47-33 7. 11 3.18 7.61 0.40 11 1-9 0.66 11 92. 36. 48-06 43-91 64-15 13.01 0.21 37-9 May 6. 3.52.33-6 100. 49. 13-26 10-57 62-69 11.65 1.22 0.97 1.43 23 3-8 0.70 49 85. 15. 61-24 58-80 62-44 4.94 1.35 23-5 7. 4.44. 6-9 113. 27. 15-22 15-37 59-85 10.36 1.09 0.55 1.27 15 4-0 0.97 51 85. 47. 58-68 48-58 70-11 5.56 1.52 20-4 8. 5.32.13-6 125. 50. 25-70 26-52 59-18 8.93 1.01 0.30 1.01 09 4-2 1.25 52 86.31. 10-43 0-06 70-37 6.38 1.67 17-7 9. 6. 17. 1-9 138. 3.57'48 61-01 56-47 7.42 0.97 0.22 0.70 07 4-4 1.55 52 87. 23. 28-8o 17-87 70-98 7.37 1.78 15-2 10. 6.59.11-7 150. 13. 52-51 59-30 53-21 5.88 0.98 0.33 0.40 10 4-6 1.83 62 88. 22. 35-17 28-72 66-46 8.49 1.86 12-9 11. 7.39.40-4 162. 26. 33-54 37-74 55-80 4.41 1.04 0.60 0.15 16 4-8 2.10 50 89.26.21-13 17-50 63-63 9.69 1.90 10-8 13. 9. 0. 0-7 187.23.57-93 60-12 57-81 1.87 1.29 1.63 0.02 35 5-2 2.54 44 91.37. 59-02 56-03 62-99 12.16 1.85 8-1 14. 9.42.177 200. 19. 6-57 5-75 60-82 0.95 1.47 2.33 0.15 44 5-6 2.69 40 92.40. 4-37 1-45 62-92 13.31 1.76 7-5 16.11.17.14-4 227. 18.40-19 35-65 64-54 0.04 1.94 3.94 0.72 54 6-1 2.83 31 94.19.41-60 31-50 70-10 15.16 1.45 8-1 17. 12. 14. 10-3 241. 25. 28-58 23-81 64-77 0.14 2.20 4.76 1.05 52 6-3 2.81 26 94. 49. 29-22 33-56 55-66 16.71 1.25 9-4 20. 15. 18. 0-4 285.21.47-17 32-70 74-47 2.80 2.93 6.87 1.51 26 7-0 2.43 14 94. 28. 10-67 11-37 59-30 15.26 0.58 17-0 21. 16. 17. 57"2 300. 12. 19-60 15-24 64-36 4.32 3.08 7.34 1.39 17 7-5 2.21 12 93. 43. 22-26 18-86 63-39 14.40 0.39 20-4 22. 17. 13. 58-6 314. 59. 29-02 32-49 56-53 6.02 3.17 7.64 1.16 10 7-8 1.95 10 92. 43. 34-52 34-34 60-18 13.26 0.24 24-2 23.18. 6. 0-6 329. 40. 34-87 39-39 55-48 7.78 3.17 7.77 0.86 07 8-0 1.68 08 91.33.20-47 20-05 60-42 11.93 0.14 27-8 25. 19. 42. 3-4 358.41. 0-34 16-18 44-16 1.04 2.95 7.49 0.28 14 8-5 1. 11 09 89. 1.23-58 16-31 67-27 9.04 0. 12 33-9 26. 20. 28. 49-4 13. 0.30-20 50-04 40-16 2.32 2.75 7.09 0.10 22 8-8 0.84 10 87.49.38-14 27-91 70-23 7.69 0.19 36-4 27.21. 16.32-5 27. 12. 32-21 58-31 33-90 13.27 2.51 6.54 0.05 32 9-1 0.60 1-2 80. 46. 47-24 32-86 74-38 6. 50 9.32 38-2 June 11. 8. 18.34-7 207.34.18-52 16-56 [61-96) 0.67 1.55 1.29 0.00 29 136 1.90 51 93.21.15-76 8-61 [67-15) 14.01 1.67 14-6 12. 9. 5.50-9 220. 59. 30-88 30-24 60-64 0. 17 1.78 1.93 0.06 40 13-9 2. 16 49 94. 7.52-92 50-79 62-13 14.90 1.51 12-0 13. 9.58. 7-0 234. 53. 59-64 65-70 53-94 0.03 2.04 2.66 0.26 48 14"2 2.39 46 94. 41. 44-88 42-30 62-58 1 15.55 1.32 10-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. . Sub. Sub. 6o"-00 7.02 2.00 \ \\ 4.00 0. 74 30 20-8 g > 1.42 30 60-00 g \ 10.21 tt .00 ?3-7 1802. June 11. The Observed Z. D. has been decreased one revolution of the Micrometer. [192] REDUCTION or GREENWICH LUNAK OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. 1 Change for 08-1 1 in Argument. C C 'eg Evcction. Change for OS- 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of : Tabular Ecliptic N. P. D. .2 OS. . ifS 11 Effect of Mean Inclination. Change for 0?-] 1 in Argument. Evertion in E. N. P. O. ! 1802. **:! ' " a g * V > s > \\ ' g ' o / // n * > , > June 16. 13. 4. 47' 1 279. 16.39-23 30-47 68-76 1.98 2.80 5.17 1.19 49 15-4 2.81 34 94. 34. 43-55 47-49 56-06 15.46 0.64 7-5 17.14. 7.41-9 294. 32. 28-55 20-70 67-85 3.34 2.99 5.92 1.42 42 15-7 2.83 30 93. 52. 28-44 36-08 52-36 14.68 0.44 8-3 18.15. 6-54-3 309. 46. 57-23 53-47 63-76 4.96 3.12 6.58 1.51 32 16-0 2.80 25 92. 53. 39-95 48-26 51'69 13.57 0.27 9-8 ' 21. 17. 40. 20-2 354. 22. 34-42 36-67 57-75 10.12 3.05 7.73 1.02 08 17-3 2.37 14 89. 8. 57-93 60-89 57-04 9.33 0. 11 18"2 22. 18. 27. 7-0 8. 44. 45-00 48-42 56-58 11.56 2.88 7.76 0.71 07 17-6 2.14 11 87.56.11-31 11-23 60-08 7.95 0.17 21-4 i 23.19.14. 4-8 22. 52. 37-66 50-68 46-98 12.72 2.66 7.63 0.41 10 17-9 1.88 09 86. 52. 12-67 13-32 59-35 6.73 0.29 25-0 July 4. 3.31.44-1 152.48. 2-94 11-84 51-10 6.26 0.98 1.01 1.44 24 21-4 0.01 33 89. 3.54-35 50-98 63-37 9.02 1.88 38-7 12. 9.38.51-9 256. 47. 18-62 20-04 58-58 0.49 2.40 2.28 0. 14 44 24-3 1.69 52 95. 5. 56-95 54-41 62-54 15.93 0.96 18-0 14.11.47.13-7 287. 10. 57-45 50-89 66-56 2.46 2.88 3.88 0.71 54 24-9 2.23 48 94. 13. 39-27 31-06 68-21 15. 02 0.51 11-8 17.14.44.36-9 333. 52. 30-47 36-27 54-20 7.36 3.18 6.22 1.48 37 26-2 2.75 37 90.46.38-71 43-73 54-98 11.24 0.11 7.4 21.17.59.54-8 32. 35. 29-37 30-09 59-28 13.08 2.57 7.76 0.88 07 27-4 2.67 20 86. 2. 16-11 14-93 61-18 5.91 0.41 12-8 23.19.42. 13-1 59.57. 2-01 10-01 52-60 14.01 2.05 7.51 0.29 13 28-3 2.32 13 84. 57. 38-30 34-51 63-79 4.66 0.79 18-2 24.20.36. 9-6 73. 13.31-50 40-76 50-74 13.88 1.79 7.12 0.11 21 28-6 2.08 10 84. 50. 30-63 18-34 72-29 4.50 0.99 21-4 Aug. 5. 4. 50. 13-5 209. 50. 20-90 15-40 65-50 0.85 1.50 0.26 0.90 08 32-0 0.02 34 93.53.47-65 37-92 69-73 14.38 1.61 39-4 7. 6. 26. 32-5 236. 5.47-93 43-63 64-30 0.03 1.97 0.40 0.29 12 32-8 0.23 42 95. 2.47-52 37-67 69-85 15.69 1.26 36-6 8. 7.22.17-1 249. 57. 12-80 9-29 63-51 0.19 2.24 0.75 0.09 19 33-1 0.41 46 95. 14. 24-68 17-31 67-37 15.92 1.05 34-3 9. 8.22.47-8 264. 21. 32-55 28-79 63-76 0.74 2.50 1.25 0.00 29 33-3 0.64 49 95. 7. 8-60 3-67 64-93 15. 82 0.82 31-6 10. 9.26. 9-9 279. 17. 28-86 29-24 59-62 1.69 2.74 1.88 0.06 39 33-6 0.90 51 94. 39. 20-40 12-77 67-63 15.34 0.60 28-0 11. 10. 29. 32-6 294. 39. 59-04 54-85 64-19 2.98 2.95 2.66 0.25 48 33-8 1.19 52 93. 50. 39-73 48-02 51-71 14.48 0. 40 24-5 12. 11.30.23-2 310. 20. 9-21 4-72 64-49 4.54 3. 10 3.46 0.54 53 34-1 1.48 53 92. 44. 23-32 19-38 63-94 13.28 0.24 20-7 13. 12.29.51-7 326. 8.56-76 56-21 60-55 6.26 3.17 4.30 0.87 54 34-3 1.77 52 91. 24. 34-34 38-96 55-38 11.85 0.14 16-8 14. 13. 23. 18-5 341.52.39-84 41-53 58-31 8.03 3.17 5.11 1.18 50 34-8 2.05 50 89. 58. 47-26 50-28 5698 10.30 0. 10 13-5 15. 14. 14. 12-9 357. 23. 16-06 23-81 52-25 9.72 3.08 5.87 1.41 42 35-0 2.30 48 88. 34. 3-69 10-02 53-67 8.75 0. 13 10-8 16. 15. 3. 56-3 12. 33. 43-59 52-21 51-38 11.24 2.93 6.54 1.51 32 35-3 2.50 44 87. 17. 13-97 20-76 53-21 7.35 0.22 9-0 17.15.53.46-5 27.19.41-19 50-24 50-95 12.47 2.72 7.09 1.48 22 35-5 2.67 41 86. 13. 27-54 29-01 58-53 6.18 0.36 7-8 19. 17. 37. 25-2 55. 34. 13-53 12-60 60-93 13.89 2.21 7.72 1.04 09 36-0 2.83 32 84. 55. 47-96 48-82 59-14 4.74 0.74 7'8 20.18.31.37-4 69. 5. 8-31 13-74 54-57 14.00 1.94 7.77 0.73 07 36-2 2.82 27 84. 43. 48-54 42-28 66-26 4.50 0.95 8-8 22. 20. 20. 42-3 95. 7.34-05 36-89 57-16 13. 11 1.48 7.34 0.19 17 36-8 2.64 19 85. 9.20-06 21-35 58-71 4.94 1. 35 12-2 1 Sep. 4. 5.12.34-5 244. 34. 24-85 22-03 62-82 0.04 2.07 0.22 0.75 07 39-1 0.03 26 95. 15. 33-73 28-76 64-97 15. 89 1.11 39-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub 6o"-00 7*. 02 2. 00 4. 00 0.76 30 20-8 1 . 42 30 60-00 10. 21 \ \v 1. 00 23"; SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [193] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation . Seconds of Tabular Longitude. Excess of Observed Longitude. I-g g s" Change for 0?-1 in Argument. Parallactic Inequality. Variation. Change for OS'll in Argument. If 1| Evection. Change for Oe-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P. D. 441 OS. . If Effect of Mean Inclination. | 1 Change for OH 1 in Argument. .1^ Sz 1802. d h ' > H " rr g * \ \\ \ \\ g \\ \ g * \\ o / /' " " s > \ \\ Sep. 7. 8.11.14-5 287. 13. 37-41 36-91 60-50 2. 14 2.83 0.97 0.03 24 39-7 0.13 39 94. 18. 43-34 39-28 64-06 14.86 0.47 38-3 8. 9.11.45-4 302. 20. 30-80 31-21 59-59 3.53 3.01 1.55 0.01 34 39-8 0.28 43 93. 21. 40-91 32-29 68-62 13.82 0.30 36-4 10.11. 4.32-8 333. 28. 15-70 12-35 63-35 6.91 3. 18 3.00 0.38 51 40-1 0.71 50 90. 45. 15-87 13-98 61-89 10.99 0.11 30-4 11.11.57. 0-3 349. 12. '20-56 23-59 56-97 8.68 3.14 3.82 0.69 54 40-2 0.98 52 89.18. 9-26 3-72 65-54 9.42 0.11 26-8 11. 11.59. 19-2 349. 13. 49-57 51-32 58-25 8.68 3.14 3. 82 0.69 54 40-2 0.98 52 89. 17. 50-92 55-68 55-24 9.42 0.11 26-8 12. 12.50.27-0 4.51.51-02 65-64 45-38 10.31 3.03 4.65 1.02 52 40-3 1.27 52 87. 54. 31-33 29-78 61-55 7.90 0.18 22-9 15.15.27.31-8 49. 50. 27-84 34-70 53-14 13.61 2.37 6.79 1.51 28 40-7 2.12 50 85. 5. 7-62 18-41 49-21 4.88 0.68 12-9 17. 17. 19. 13-1 77. 33. 31-60 38-66 52-94 13.95 1.85 7.63 1.19 11 40-9 2.55 43 84. 44. 37-05 35-77 61-28 4.54 1.11 9-0 18.18.14.50-2 90. 45. 13-50 20-43 53-07 13.54 1.61 7.76 0.90 08 41-0 2.70 39 85. 0.39-32 25-51 73-81 4.84 1.31 7-9 20. 19. 58. 45-6 116. 6.32-15 30-78 61-37 11.76 1.23 7.51 0.30 13 41-1 2.83 31 86. 13. 49-80 42-69 67-11 6.20 1.64 7-6 22.21.29.30-6 140. 35. 52-77 44-80 67-97 9.09 1.01 6.58 0.05 30 41-3 2.73 22 88. 6.12-02 8-20 63-82 8.26 1.85 9-3 Oct. 3. 5. 0.56-4 267. 32. 8-77 2-24 66-53 0.57 2.44 0.26 0.92 08 41-6 0.37 15 95. 1.29-19 15-09 74-10 15.67 0.73 35- L 5. 6.59.12-4 296. 3. 22-09 25-42 56-67 2.64 2.91 0.40 0.31 11 41-6 0.08 23 93. 42. 56-96 54-95 62-01 14.18 0.35 38-9 9. 10.33. 4-9 356.38. 4-27 9-76 54-51 9.31 3.11 2.60 0.23 47 41-4 0. 16 41 88. 37. 9-99 12-66 57-33 8.55 0. 14 37-7 10. 11.23.50-9 12. 6. 9-07 12-36 56-71 10.88 2.97 3.41 0.52 53 41-4 0.33 44 87. 19. 52-19 53-53 58-66 7.14 0.24 35-6 11.12.18. 6-8 27.28. 2-48 19-70 42-78 12.20 2.77 4.24 0.85 54 41-4 0.54 48 86.14.57-15 49-3(5 67-79 5.97 0. 40 32-7 12. 13. 12. 7-9 42. 33. 9-98 16-86 53-12 13.18 2.54 5.05 1.16 50 41-3 0.78 50 85. 26. 49-70 49-78 59-92 5.12 0.69 29-2 13.14. 8.22-4 57. 15. 22-61 30-84 51-77 13.80 2.27 5.82 1.40 43 41-2 1.06 52 84. 58. 15-69 16-95 58-74 4.63 0.81 25-8 14. 15. 6. 8-2 71.30.13-11 22-86 50-25 14.01 2.01 6.49 1.51 33 41-2 1.35 53 84.49.29-21 31-49 57-72 4.50 1.03 22-4 15. 16. 3. 53-4 85.15.50-31 56-92 53-39 13.83 1.76 7.06 1.48 23 41-0 1.64 52 84. 59. 13-28 13-78 59-50 4.71 1.25 19-2 16.16.59.47-1 98. 32. 52-52 61-68 50-84 13.29 1.53 7.47 1.32 14 41-0 1.92 51 85.25. 4-65 1-40 63-25 5.22 1.44 16-3 17.17.52.25-2 111.24.42-82 51-04 51-78 12.43 1.33 7.71 1.06 09 40-9 2. 19 49 86. 4. 13-27 5-80 67-47 5.97 1.60 13-7 18. 18.41. 12-4 123. 56. 12-89 20-78 52-11 11.31 1.18 7.77 0.75 07 40-8 2.41 46 86. 53. 41-23 35-94 65-29 6.91 1.73 11-5 19. 19.26.20-4 136. 13. 18-45 23-45 55-00 9.98 1.06 7.65 0.44 10 40-7 2.60 42 87.50.49-17 49-56 59-61 7.98 1.83 9-8 20.20. 8.31-0 148.22. 2-46 6-15 56-31 8.52 0.99 7.37 0.20 16 40-6 2.73 38 88.53.11-31 13-68 57-63 9.15 1.89 8-5 22.21.27.55-9 172. 37. 42-36 38-57 63-79 5.48 1.00 6.31 0.07 35 40-4 2.83 29 91. 3.30-97 35-98 54-99 11.57 1.88 7-4 Nov. 3. 6.42.51-2 320. 19. 38-72 35-62 63-10 4.76 3.11 0.29 0.45 09 386 0.52 13 91.41.23-31 23-41 54-90 11.99 0. 14 32-7 6. 9.11.55-6 4. 52. 50-62 50-16 60-40 9.92 3.07 1. 50 0.01 33 38-0 0.05 24 87.49.36-11 47-03 49-08 7.64 0.20 39-2 7. 10. 1. 55-0 19. 55. 55-65 64-06 51-59 11.40 2.90 2. 18 0.12 43 37-8 0. 00 28 86.42.46-21 50-82 55-39 6.40 0.33 39-9 Sub. 60-00 Sub. K \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. f > 1.42 Sub. A 30 Sub. 60-00 Sub. 10.21 Sub. I. 00 Sub. 23-7 2.00 4.00 - GREENWICH LUNAR REDUCTIONS. 2[C] [194] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. $4 1|3 S."'S " r" B ' - -, hJ Excess of Observed Longitude. & m gj Change for OS'l 1 in Argument. Parallactic Inequality. Variation. Change for OB- 1 1 in Argument. i-I = 2 < o- W Evcctioo. Change for OS- 1 1 in Argument. ] Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. Excess of Ob- 1 served Ecliptic 1 N. P. D. Effect of Mean Inclination. Change for 0'l in Argument. = 10. 21 1. 00 23" SECT. III. COMPARISON or MOON'S OBSERVED AND TABULAR PLACE. [195] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .- " .! Change for 08- 1 I in Argument. Parallactic Inequality. Variation. Changefor(K-l 1 in Argument. Annual Equation. Erection. Changeforfls-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. o'a. . Effect of Mean Inclination. Change for DS- 1 in Argument. c > I s - H W 1803. d h m 5 o / n " fr * < V VV \ \\ g ' \ s "~ \\ O f ff II s - % \\ Feb. 4.10.55.28-0 115.39.33-39 23-39 70-00 12. 89 1.42 2.49 0. 21 46 8-9 1.08 09 86. 50. 45-88 38-42 67-46 6.70 1.71 23-7 6. 12. 30. 44-2 140.51.13-72 14-03 59-69 10.65 1.11 4.12 0.81 54 8-4 0.56 12 88. 56. 41-26 36-02 65-24 8.97 1.88 29-7 9. 14. 31.22-0 177. 29. 52-66 49-17 63-49 6.23 0.98 6.40 1.50 34 7-3 0.07 23 92. 14. 59-68 54-62 65-06 12.57 1.82 36-4 10.15. 10.20-6 189. 36. 56-47 47-93 68-54 4.74 1.02 6.98 1.49 24 7-1 0.01 27 93. 12. 19-02 18-09 60-93 13.62 1.72 38-1 13.17.18.38-4 226.41.46-14 30-58 75-56 1.13 1.43 7.78 0.80 07 6-3 0.17 41 95. 5.48-08 53-14 54-94 15.70 1.25 40-0 t 15.19. 2.46-9 252. 53. 60-99 45-97 75-02 0.07 1.89 7.42 0.23 15 5-9 0.54 48 95. 12. 27-15 32-90 54-25 15.84 0.84 38-6 27. 5. 9.36-7 57. 50. 33-23 33-50 59-73 13.10 2.56 0.35 1.10 10 3-2 2.83 29 84. 43. 16-79 14-13 62-66 4.51 0.93 7-9 28. 6. 6.41-9 71.51.56-85 58-24 58-61 13.76 2.30 0.23 0.80 07 3-0 2.79 24 84. 46. 36-53 31-71 64-82 4.58 1.15 7-4 Mar. 1. 7. 3.53-3 85. 28. 46-58 46-03 60-55 14.01 2.04 0.28 0.48 09 2-9 2.69 20 85. 7.36-68 32-00 64-68 4.96 1.36 7-7 3. 8.52.10-0 111. 37. 58-00 57-25 60-75 13.36 1.55 0.90 0.04 22 2-6 2.34 13 86.32. 9-77 8-04 61-73 6.50 1.68 9-8 4. 9.41.12-6 124. 16. 49-09 44-57 64-52 12.54 1.35 1.46 0.00 32 2-2 2.11 11 87. 29. 47-32 48-10 59-22 7.55 1.80 11-7 5. 10.26.40-9 136.43. 8-19 3-15 65-04 11.44 1.19 2.13 0. 10 42 2-1 1.85 09 88.33.45-11 40-83 64-28 8.71 1.87 13-9 11.14.30.41-6 209. 54. 45-43 40-72 64-71 2.86 1.16 6.67 1.52 30 1-3 0.31 16 94. 26. 31-25 30-08 61-17 15.08 1.47 30-2 12.15. 14.55-5 222. 19. 18-50 11-93 66-57 1.71 1.32 7. 19 1.44 20 1-1 0. 16 20 94. 56. 25-24 29-83 55-41 15.61 1.29 32-9 27. 3.55.45-1 66. 13. 50-79 61-08 59-71 13.39 2.46 0. BO 1.41 21 0-1 2.48 45 84. 48. 31-35 26-20 65-15 4.52 1.09 16-1 28. 4.55. 3-2 80. 26. 59-63 58-22 61-41 13. 90 2.20 0.51 1.23 13 o-o 2.65 41 85. 3.47-83 41-63 66-20 4.83 1.30 13-1 30. 6.47.34-3 107.23. 8-74 9-70 59-04 13.72 1.69 0.23 0.64 07 o-o 2.83 32 86. 20. 49-95 46-25 63-70 6.29 1.66 9-2 31. 7. 38. 14-9 120. 13. 8'98 7-60 61-38 13.09 1.47 0.35 0.35 11 o-o 2.83 28 87. 15. 49-72 45-22 64-50 7.32 1.78 8-1 April 1. 8.24.54-9 132.44.31-71 28-11 63-60 12.15 1.29 0.66 0.12 18 o-o 2.77 23 88.17.28-33 21-51 66-82 8.47 1.86 7-5 2. 9. 8.11-4 145. 2.51-84 40-37 71-47 10.97 1.14 1.13 0.01 27 o-o 2.66 19 89. 22. 42-88 37-30 65-58 9.67 1.90 7-5 3. 9.48.58-2 157.12.69-15 55-57 73-58 9.60 1.04 1.73 0.03 37 o-o 2.49 16 90. 28. 48-79 46-01 62-78 10.90 1.89 7-9 4. 10. 28. 16-2 169. 19. 52-45 45-55 66-90 8. 13 0.98 2.44 0. 19 46 o-o 2.29 13 91. 33. 10-26 8-68 61-58 12. 08 1.85 8-9 5.11. 7. 8-1 181.26.68-13 59-58 68-55 6.60 0.97 3.23 0.46 52 0-1 2.05 10 92. 33. 12-66 10-00 62-56 13. 18 1.77 10-4 11. 15.43.49-1 256.45. 8-34 7-68 60-66 0. 12 1.83 7.39 1.37 16 0-3 0.46 14 94. 55. 47-52 52-22 55-30 15.69 0.74 25-8 12. 16. 39. 43-0 270. 2.37"22 37-37 59-85 0.05 2.08 7.67 1.12 10 0-5 0.27 17 94. 28. 47-33 53-12 54-21 15.16 0.55 29-0 13.17.36.21-7 283.37.45-78 51-97 53-81 0.37 2.35 7.78 0.82 07 0-5 0.12 21 93. 46. 17-91 19-97 57-94 14.34 0.38 31-8 14. 18. 32. 14-0 297.32.49-18 47-10 62-08 1.09 2.61 7.70 0.50 09 0-6 0.03 25 92. 49. 28-82 32-21 56-61 13.27 0.24 34-7 25. 3. 39. 58-2 88. 12.43-14 36-29 66-85 13.98 2.10 1.17 1.46 26 1-7 1.81 52 85. 31. 25-71 16-40 69-31 5.21 1.43 26-0 May 3. 9.45.10-7 189. 24. 45-45 35-01 70-44 6.03 0.98 2. 08 0.09 41 3-1 2.76 22 93.13.20-16 15-41 64-75 13. 94 1.68 7-9 Sub. Sub. Sub. ! Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o'-00 7. 02 2. 00 4.00 6.76 30 20-8 1.42 30 60-00 10. 21 \ \\ 1.00 23-7 2 [C] 2 [196] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. H c* Change for OB- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os ! J in Argument. i 1 Annual Equation. Evcclion. Change forfle-J in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. Excess of Ob- served Ecliptic N. P.O. Effect of Mean Inclination. Change for 08-1 1 in Argument. Evection in E. N. P. D. 1803. " h - ' M a s ' \ \\ , * \ * v O / (/ II | K ' > ' May 4. 10. 25. 40'9 201. 40. 36-60 23-97 72-63 4.53 1.04 2.83 0.30 49 3-3 2.62 18 93. 58. 13-99 8-82 65-17 14.78 1.54 7-5 5. 11. 8.30-1 214. 6. 13-76 1-24 72-52 3.16 1.13 3.64 0.60 53 3-6 2.45 15 94.32. 18-15 16-08 62-07 15.4-2 1.37 7-5 6. 11.54.28-3 226.43.49-12 37-24 71-88 1.96 1.28 4.47 0.94 53 3-8 2.23 12 94. 53. 39-45 37-85 61-60 15.81 1. 18 8-1 6. 11.66.41-5 226. 44. 55-24 45-73 69-51 1.96 1.28 4.47 0.94 53 3-8 2.23 12 94. 53. 40-99 39-18 61-81 15.81 1. 18 8-1 7. 12. 46. 22-2 239. 35. 43-67 34-95 68-72 1.01 1.46 5. 29 1.23 49 4-0 1.98 10 95. 0.37-17 35-14 62-03 15.93 0.98 !)-3 8. 13. 39. 31-8 252.40.11-62 1-94 69-68 0.35 1.68 6.02 1.44 40 4-2 1.71 08 94.51.59-82 61-01 58-81 15. 76 0.78 11-0 12.17.21. 19-3 307. 9. 28-59 34-19 54-40 1.47 2.70 7.74 0.98 08 5-0 0.62 12 91.49.37-49 38-27 59-22 12. 28 0.16 -.'2-2 13. 18. 12. 44-5 321. 20. 50-37 57-71 52-66 2.68 2.91 7.75 0.66 08 5-4 0.40 15 90.36.61-02 59-56 61-46 10.91 0. 11 25-8 14. 19. 2. 18-2 335. 48. 1-88 G-50 55-38 4.17 3.07 7.60 0.37 11 5-6 0.22 18 89. 20. 45-23 40-47 64-76 9.45 0.11 29-2 15.19.51. 0-5 350.31.43-48 47-23 56-25 5.85 3.16 7.25 0. 15 18 5-9 0.09 22 88. 5.40-70 35-64 65-06 8.03 0.17 3-2-4 17.21.31. 6-0 20.43. 9-60 15-20 54-40 9.34 3.11 6. 12 0.10 38 6-3 0.00 31 86. 0.46-58 46-06 60-52 5.66 0.46 =57-0 27. 5.43. 7-2 148. 13. 6-44 4-36 62-08 11. 28 1.17 0.29 0.98 09 8-8 1.89 51 90. 6. 12-86 5-86 67-00 10.29 1.90 27-0 30. 7.42.23-6 184. 49. 59-73 53-26 66-47 6.98 0.97 0.63 0.13 17 9-9 2.57 43 93. 5. 55-20 55-77 59-43 13.70 1.71 18-9 31. 8.22.17-4 197. 2. 8-64 4-51 64-13 5.45 1.00 1.09 0.01 26 10-1 2.71 39 93.52.11-74 8-54 63-20 14.58 1.58 16-3 June 1. 9. 4. 10'8 209. 23. 26-28 15-85 70-43 4.00 1.07 1.68 0.02 36 10-4 2.80 35 94.28. 3-58 1-52 62-06 15. 27 1.42 13-7 2. 9.49. 3-0 221.57.3864 30-00 68-64 2.68 1. 18 2.38 0. 17 45 10-7 2.83 30 94.51.35-26 35-91 59-35 15.73 1.23 11-7 3. 10. 37. 38-5 234. 47. 47-00 3376 73-24 1.57 1.34 3.17 0.43 52 11-0 2.81 26 95. 1. 5-72 3-97 61-75 15.93 1.04 9-8 13. 19.24.27-9 15. ll.. r >5-63 67-71 47-92 8.27 3.16 7.47 0.26 14 14-5 0.66 12 86. 7.40-01 36-69 63-32 5.92 0.41 23-2 25. 4.59.19-1 167.45. 17-50 11-43 66-07 9.42 1.03 0.38 1. 13 11 18-2 1.09 52 92. 1.31-16 24-65 66-51 12.34 1.84 36-6 27. 6. 17. 59-7 19-2. 6. 66-00 57-30 68-70 6.39 0.98 0.26 0.53 08 18-9 1.67 62 93.47.47-71 42-14 65-57 14.35 1.62 :V2-4 28. 6.58.60-0 204.21.29-29 26-35 6294 4.89 1.02 0.46 0.25 13 19-2 1.95 51 94. 26. 41-35 37-76 63-59 15.09 1.47 29-9 29. 7.42.11-6 216.46. 8-93 323 65-70 3.49 1. 10 0. 84 0.06 21 19-8 2.21 49 94. 53. 43-00 37-95 65-05 15. 62 1.29 27-( 30. 8.29. 1-0 229. 25. 45-95 47-51 58-44 2.24 1.24 1.37 0.00 31 20-2 2.43 46 95. 6. 59-20 58-16 61-04 15.90 1.10 24-C July 1. 9. 19. 53-8 242. 24. 34-59 28-50 66-09 1.21 1.41 2.03 0.08 41 20-5 2.61 42 95. 5. 11-78 5-54 66-24 15.89 0.89 20-< 2. 10. 14. 39-6 255.44.23-19 15-63 67-56 0.48 1.62 2.77 0.29 49 20-8 2.74 38 94. 46. 55-39 52-08 63-31 15.58 0.69 18-( 3.11.12. 11-0 269. 25. 25-72 12-85 72-87 0.09 1.86 3.58 0.59 53 21-1 2.82 33 94. 11.60-97 58-07 62-90 14.97 0.50 15-( 5.13.10. 2-3 297. 42. 32-00 22-17 69-83 0.45 2.39 5.23 1.22 49 21-8 2.79 24 92. 16. 53-91 58-80 55-11 12.88 0.20 10-: 6.14. 4.32"2 312. 9.38-98 30-25 68-73 1.23 2.64 5.97 1.43 41 22-4 2.69 20 91. 2.57-12 63-51 53-61 11.53 0. 12 8'i 9.16.33.42-6 356. 4.51-72 46-40 65-32 5.44 3. 15 7.53 1.27 13 233 2.10 11 87. 13. 35-00 30-69 64-31 7.27 0.23 8-: Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sul 60-00 7.02 2. 00 4.00 e \ 0.76 30 20-8 1 . 42 30 60-00 e \ 10.21 1. 00 23- SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [197] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. O f H i = II // e \ \\ % July 10. 17. 22. 1-9 10.46.31-55 28-73 62-82 7.20 3.18 7.74 1.00 08 23-7 1.84 09 86.12. 1-12 1-63 59-49 6.12 0.37 9-4 11.18. 11.50-8 25. 27. 10-65 11-44 59-21 8.94 3.13 7.76 0.68 07 24-0 1. 56 08 85.25.41-37 33-21 68-16 5.24 0.56 11-5 12.19. 4. 15-1 40. 5.10-12 22-80 47-32 10.55 3.01 7.61 0.39 11 24-3 1.27 08 84. 57. 15-32 4-51 70-81 4.69 0.77 14-1 22. 2.54.55-9 162.41.33-19 26-61 66-58 10. 30 1.08 1.55 1.46 33 27-7 0.09 38 91.43.71-24 52-40 78-84 11.99 1.86 38-9 24. 4.13.66-3 187.11.31-26 13-67 77-59 7.35 0.97 0.55 1.26 14 28-3 0.40 46 93. 37. 75-91 59-94 75-97 14.10 1.66 40-0 25. 4.53.59-2 199. 21. 52-55 37-49 75-06 5.82 0.99 0.30 1.01 09 28-6 0.62 49 94.21.17-25 8-45 68-80 14.90 1.51 39-8 26. 5. 35. 53-8 211. 36. 43-34 26-92 76-42 4.35 1.04 0.22 0.70 07 28-9 0.88 51 94.52.55-19 41-68 73-51 15.49 1.35 39-1 27. 6.20.41-5 224. 1. 32-52 24-95 67-57 2.99 1. 15 0.33 0.39 10 29"2 1.16 52 95.11. 9-32 6-29 63-03 15.84 1.16 38-0 28. 7. 9. 10-9 236. 41. 64-26 58-83 65-43 1.82 1.30 0.60 0.15 16 29-5 1.45 53 95. 14. 52-84 55-65 57-19 15.93 0.96 36-3 30. 8. 57. 40-4 263. 7.26-66 2-2-12 64-54 0.29 1.71 1.63 0.02 35 30-3 2.02 50 94. 34. 20-46 18-84 61-62 15.22 0.57 31-3 31. 9.55.46-1 276. 56. 58-63 53-80 64-83 0.03 1.96 2.33 0.16 45 30-6 2.27 48 93.49. 8-85 7-19 61-66 14.41 0.39 28-3 Aug. 1. 10. 53. 59-8 291. 10. 33-89 29-36 64-53 0.17 2.22 3.12 0.42 51 30-9 2.49 45 92. 48. 46-98 39-82 67-16 13. 32 0.24 25-0 2.11.50.36-4 305.45. 6-41 5-40 61-01 0.70 2.48 3.94 0.74 54 31-2 2.65 41 91.35.55-05 51-51 63-54 12.00 0.14 21-4 3.12.47. 1-8 320. 37. 20-26 25-24 55-02 1.62 2.73 4.82 1.07 52 31-5 2.77 37 90. 15. 1-77 6-49 55-28 10.55 0.10 18-0 4. 13. 38. 38-3 335. 38. 59-52 61-90 57-62 2.87 2.94 5.62 1.33 45 31-7 2.83 32 88. 52. 20-48 25-27 55-21 9.04 0.12 14-8 5. 14. 28. 36-4 350. 45. 18-89 23-09 55-80 4.39 3.09 6.31 1.49 36 32-0 2.83 28 87.33.60-11 58-33 61-78 7.62 0.20 11-8 6. 15. 18. 6-4 5. 50. 48-04 46-13 61-91 6.10 3.17 6.91 1.51 26 32-5 2.77 23 86. 25. 40-55 44-49 56-06 6.37 0.33 9-7 7.16. 8.24-7 20. 50. 31-59 22-75 68-84 7.87 3.17 7.37 1.38 17 328 2.65 19 85.32.31-79 37-56 54-23 5.41 0.51 8-1 10. 18.52.48-1 64.42. 2-60 6-13 56-47 12.39 2.74 7.71 0.53 09 33'6 2.03 10 84. 49. 13-67 7-77 65-90 4.60 1.17 8-4 24. 5. 1. 7-7 231.29.33-30 22-67 70-63 2.53 1.20 0.25 0.86 08 37-0 0.26 43 95.16.50-97 45-81 65-16 15.93 1.02 39-0 26. 6.44.21-3 257. 4.39-86 39-30 60-56 0.63 1.57 0.44 0.27 12 37-4 0.69 49 94. 50. 16-69 12-18 64-51 15.42 0.63 40-0 27. 7. 40. 26"2 270. 25. 30-06 28-92 61-14 0.15 1.80 0.81 0.07 20 37-6 0.95 51 94. 12. 59-37 61-15 58-22 14.74 0.45 39-6 28. 8. 37. 44-4 284. 12. 47-26 44-81 62-45 0.04 2.06 1.33 0.00 30 37-8 1.24 52 93. 20. 28-55 16-15 72-40 13.77 0.30 |38'6 29. 9. 34. 37-0 298. 27. 39-94 37- IS 62-75 0. 3-2 2.32 1.98 0.07 40 38-0 1.53 52 92.13.41-08 37-67 66-41 12.56 0.18 36-9 30. 10. 29. 52-7 313. 9. 5-40 5-88 59-52 1.00 2.58 2.71 0.27 48 38-3 1.82 52 90. 56. -27-35 18-77 68-58 11. 15 0. 11 34-5 31. It. 23. U"2 328. 13.43-13 48-78 54-35 2.05 2.81 3.52 0.57 53 38-5 2.09 50 89. 33. 14-06 11-92 6-2-14 9.64 0.10 31-3 Sep. 1. 12. 17. 9-5 343. 37. 15-14 24-70 50-44 3.42 3.00 4.36 0.90 53 38-7 2.33 47 88. 10. 21-76 24- 16 57-60 8.14 0.10 28-0 2. 13. 8. 13-7 359. 9. 11-35 18-58 52-77 5.02 3.13 5. 17 1.21 49 33-8 2.54 44 86. 54. 59-58 61-29 58-29 6.78 0.28 24-2 3. 13. 59. 50-5 14.41.55-37 61-67 53-70 6.76 3. 18 5.92 1.4-2 41 39-0 2.69 40 85. 53. 16-68 10-76 59-93 5.67 0.45 20-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. 60-00 a \ 7.02 \ \\ 2.00 % v\ 4.00 g > 0. 7 m O ' // " " f * ^ \\ 1 Sep. 4.14.53. 6-4 30. 6.56-08 56-69 59-39 8.53 3.15 6.58 1.51 32 39-1 2.79 35 85. 9.55-72 58-47 57-25 4.92 0.66 16-8 6. 16. 46. 44-0 60. 5.47-38 54-95 52-43 11.64 2.87 7.51 1.28 13 39-6 2.81 26 84. 46. 49-42 57-43 51-99 4.55 1.13 11-0 7.17.46. 9-1 74. 31. 37-07 39-83 57-24 12.79 2.65 7.73 1.01 08 39-7 2.74 22 85. 6.12-52 8-83 63-69 4.93 1.34 9-2 8. 18. 45. 12-0 88. 32. 55-21 55-08 60-13 13.57 2.39 7.76 0.69 07 39-8 2.61 18 85. 42. 44-32 32-65 71-67 5.62 1.53 7-9 9. 19. 41. 57-7 102. 10. 33-49 30-91 (62-58) 13.97 2.13 7.61 0.40 11 40-0 2.43 14 86.32.76-14 39-08 (97-06) 6.55 1.69 7-5 11.21.24.12-3 128.24.27-05 17-60 69-45 13.58 1.63 6.79 0.06 27 40-2 1.96 10 88.39. 5-80 0-65 65-15 8.88 1.88 8-3 24. 6.24.46-1 278. 7.56-26 56-64 59-62 0.06 1.89 0.31 0.41 10 41-4 0. 15 40 93. 38. 45-94 39-99 65-95 14.12 0.34 36-9 25. 7.20.10-4 291.45.21-03 21-40 59-63 0.10 2.16 0.57 0.16 16 41-4 0.31 44 92. 40. 31-20 16-77 74-43 13.02 0.22 38-4 26. 8.14.37-7 305. 50. 15-25 16-44 59-81 0.53 2.42 1.01 0.02 25 41-5 0.51 47 91.30.39-87 27-81 72-06 11.72 0.13 39-6 27. 9. 7.38-2 320. 24. 18-70 17-76 60-94 1.35 2.67 1.59 0.02 35 41-5 0.76 50 90. 12.43-13 36-73 66-40 10.28 0. 10 40-0 28. 9.59.23-4 335. 26. 41-82 48-17 53-65 2.52 2.89 2.33 0.15 44 41-5 1.03 52 88. 61. 39-68 34-70 64-98 8.78 0.13 39-6 29. 10. 50. 40-0 350. 53. 52-13 56-53 55-60 4.00 3.06 3.12 0.40 51 41-5 1.32 53 87.33.39-11 31-41 67-70 7.35 0.22 38-3 30. 11. 42. 32-6 6. 38. 24-74 27-74 57-00 5.60 3.15 3.94 0.72 54 41'6 1.61 52 86. 25. 17-02 14-49 62-53 6.11 0.38 36-3 30.11.44.52-1 6. 39. 50-09 56-51 53-58 5.66 3. 15 3.94 0.72 54 41-6 1.61 52 86.25. 9-94 8-75 61-19 6.11 0.38 36-3 Oct. 1. 12. 38. 33-8 22. 31. 42-80 44-98 57-82 7.43 3. 18 4.76 1.05 52 41-6 1.90 51 85. 32. 57-39 57-00 60-39 5.17 0.58 33-5 2. 13. 34. 56-3 38. 19. 4-88 14-00 50-22 9.17 3.12 5.56 1.32 46 41-6 2.16 49 85. 1.33-56 21-93 71-63 4.63 0.81 30-2 3. 14. 34. 12-1 53.51. 7-04 16-28 50-76 10.77 2.98 6.27 1.48 37 41-6 2.39 46 84. 52. 27-32 21-78 65-54 4.50 1.05 26-5 4. 15. 35. 27-9 68. 58. 30-31 47-56 42-75 12.11 2.79 6.87 1.51 27 41-6 2.58 43 85. 5.25-33 14-59 70-74 4.79 1.28 22-7 7.18.31. 9-9 111. 16. 6-22 7-97 58-25 14.01 2.03 7.77 0.86 07 41-5 2.83 30 87. 21. 80-94 55-19 85-75 7.42 1.79 13-3 9.20. 8.17-7 137. 11. 26-62 19-91 66-71 13.34 1.54 7.49 0.28 14 41-4 2.71 21 89.33.47-16 37-42 69-74 9.90 1.90 9-4 22. 5.11.40-9 286. 35. 15-53 21-53 54-00 0.03 1.99 0.25 0.88 08 40-5 0.06 23 92. 50. 24-44 22-58 61-86 13.34 0.25 25-2 23. 6. 4.43-2 300. 3.27-75 32-79 54-96 0.21 2.26 0.25 0.57 08 40-3 0.01 28 91.46.58-41 57-70 60-71 12. 14 0. 15 28-5 24. 6.56.18-9 313.55. 9-93 11-13 58-80 0.79 2.52 0.42 0.28 12 40-2 0.01 33 90. 35. 38-04 31-08 66-96 10.78 0.10 31-6 25. 7.46.36-1 328. 13. 35-55 35-98 59-57 1.75 2.76 0.78 0.08 20 40-0 0.07 37 89. 19. 48-80 41-34 67-46 9.34 0.11 34-3 26. 8.36.17-2 343. 0. 34-19 36-22 57-97 3.05 2.96 1.29 0.00 29 39-9 0.19 41 88. 4. 11-22 11-98 59-24 7.93 0.17 36-7 27. 9.26.27-8 358. 15. 4-47 13-85 50-62 4.60 3.10 1.93 0.06 40 39-8 0.36 45 86. 54. 47-75 43-85 63-90 6.63 0.30 38-7 28. 10. 18. 24-5 13. 52. 38-81 50-03 48-78 6.31 3.17 2.66 0.26 48 39-6 0.57 48 85. 57. 30-24 25-66 64-58 5.55 0.48 39-8 Nov. 2. 15. 22. 49-0 91.38. 9-13 23-66 45-47 13.42 2.45 6.58 1.51 32 38-7 1.98 51 86. 15. 50-92 51-05 59-87 6.00 1.61 32-4 3.16.21.46-1 105. 53. 38-15 53-98 44-17 13.91 2.19 7.12 1.47 22 38-6 2.23 48 87. 12. 38-48 35-16 63-32 7.08 1.75 29-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. fr \ Sub. Sab. 60-00 7*. 02 2.00 4.00 0.76 30 20-8 /. 42 30 60-00 10.21 i.ob 23-7 - SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [199] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. || jM H| Change for OS- 1 I in Argument. Parallactic Inequality. Variation. 1 Change for Os- 1 1 in Argument. 1 Annual Equation. Evection. Change for Os- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. Change for OK-1 1 in Argument. .ae. ffc ww i 1803. d h ra ' i'Nov. 5.18. 4.39-2 Q f It 132.45. 3-49 tt 7-26 // 56-23 g * 13.70 \ XV 1.68 \ \\ 7.73 g 1.03 \\ 08 38-2 g ' 2.63 \N 42 O f fl 89. 24. 45-05 ff 42-72 ir 62-33 g - 9.59 \ \\ 1.90 23-2 6. 18. 49. 22-2 145. 30. 55-71 58-62 57-09 13.06 1. 46 7.76 0.71 07 38-0 2.75 38 90. 32. 12-87 10-33 62-54 10.88 1.90 20-2 19. 4. 0.26-6 295. 44. 52-41 55-01 57-40 0.05 2.09 0.60 1.29 15 35-0 0.72 11 91.52.27-56 27-40 60-16 12.41 0.17 12-8 21. 5.40.32-6 322. 58. 55-26 57-28 57-98 1.11 2.61 0.22 0.73 07 34-5 0.29 17 89.31.15-91 12-11 63-80 9.73 0.10 18-4 22. 6. 28. 30-2 337. 5. 13-78 15-37 58-41 2.20 2.84 0.31 0.42 09 34-3 0.14 20 88. 18. 31-32 28-80 62-52 8.35 0.15 21-7 23. 7. 16. 20-1 351.34.47-81 48-37 59-44 3.60 3.02 0.57 0.17 15 33-8 0.04 25 87. 10. 18-85 17-75 61-10 7.05 0.25 25-2 24. 8. 5.20-5 6. 28. 21-77 28-94 52-83 5.23 3.14 1.01 0.02 24 33-5 0.00 29 86.11.47-61 43-87 63-74 5.93 0.41 28-7 25. 8. 56. 55-4 21. 44. 12-58 22-71 49-87 6.99 3.18 1.59 0.01 34 33-2 0.02 34 85. 27. 53-40 53-35 60-05 5.92 0.61 32-2 26. 9.52.17-1 37.16.53-18 62-74 50-44 8.73 3.14 2.28 0.14 44 33-0 0.10 38 85. 3. 10-53 10-85 59-68 4.59 0.84 35-2 27. 10. 51. 57-3 52. 57. 22-34 30-25 52-09 10.39 3.02 3.06 0.39 51 32-7 0.23 42 85. 0.23-22 24-67 58-55 4.52 1.08 37-6 29.13. 2.12-3 83. 56. 28-75 28-58 60-17 12.91 2.61 4.71 1.04 52 32-1 0.64 40 85. 59. 39-85 37-17 62-68 5.60 1.53 39-9 30. 14. 4. 43-2 98. 50. 44-01 50-14 53-87 13.65 2.36 5.51 1.31 46 31-6 0.91 51 86. 54. 56-84 50-75 66-09 6.63 1.70 39-8 Dec. 4.17.27. 0-4 153. 9. 4-63 10-12 54-51 12.74 1.39 7.63 1.18 11 30-4 2.05 50 91.28.22-45 22-17 60-28 11.77 1.87 33-3 8.20. 8. 0-6 202. 19. 6-32 12-97 53-35 7.51 0.97 7.12 0.11 21 28-9 2.77 36 94. 38. 29-00 31-08 57-92 15.41 1.38 22-4 24. 8.36.24-5 45. 52. 22-07 29-28 52-79 9.37 3.11 1.25 0.00 29 23-5 0.11 21 84.51.20-58 18-80 61-78 4.50 0.99 22-9 25. 9. 36. 17-7 61. 4.16-56 19-21 57-35 10.95 2.96 1.88 0.06 39 231 0.02 26 85. 3.31-76 31-04 60-72 4.68 1.23 26-5 27. 11.42.22-5 91.14.20-18 12-11 68-07 13.24 2.52 3.46 0.53 53 22-5 0.04 35 86.27.21-30 16-63 64-67 6.17 1.64 33-3 28.12.45.31-8 1804. Jan. 1. 16. 2. 9-5 105.55.55-91 160. 13. 22-73 50-75 24-69 65-16 58-04 13.82 12.38 2.26 1.32 4.30 7.09 0.87 1.48 54 22 22-1 1 20-5 0.13 0.98 39 51 87.31.26-14 92. 16. 10-66 25-05 9-66 61-09 61-00 7.33 12.57 1.78 1.82 35-9 39-9 2.16.43. 5-6 172. 49. 41-03 39-73 61-30 11.25 1.17 7.49 1.31 14 20-1 1.26 63 93. 14. 22-12 23-78 58-34 13.66 1.72 39-4 3.17.23. 8-6 185.11.57-59 55-64 61-95 9.93 1.06 7.72 1.05 09 19-8 1.55 52 94. 2.22-18 26-27 55-91 14.56 1.58 38-4 5.18.45.15-3 209. 38. 13-29 15-40 57-89 6.94 0.97 7.65 0.44 10 19-1 2.11 50 95. 2.27-52 34-53 62-99 15.71 1.25 35-0 20. (5.29.51-1 40.51.23-67 28-65 55-02 8.32 3.16 0.30 0.44 09 13-9 1.11 09 84. 44. 36-31 32-08 64-23 4.51 0.94 9-2 25. 11. 25. 58-2 113.37.49-60 39-17 70-43 13.94 2.16 3.00 0.38 61 12-1 0.08 23 88. 9.30-11 27-36 62-75 8.15 1.84 23-7 29. 14. 36. 50-4 167.11.51-05 52-03 59-02 11.98 1.26 6.17 1.47 38 10-9 0. 16 41 92. 53. 51-57 45-41 06-16 13.31 1.76 35-2 30.15.17.41-7 179. 49. 18-82 1372 65-10 10.77 1. 12 6.79 1.51 28 10-6 0.32 44 93.47.31-93 33-52 58-41 14.29 1.63 37-2 Feb. 4. 18. 56. 49'7 241. 25. 13-98 19-27 54-71 3.44 1. 11 7.53 0.32 12 8-9 1.63 52 95. 2.43-19 48-65 54-54 15.68 0.73 39-4 6.19.48.26-1 254. 2.30-71 36-03 54-68 2.20 1.25 7.16 0. 12 21 8-6 1.92 51 94. 34. 38-39 55-03 43-36 15.17 0.54 38-1 14. 2.42.17-8 6. 27. 46-53 50-68 55-85 3.82 3.04 1.37 1.46 30 6-3 2.71 21 85.49. 0-10 7-22 58-88 5.65 0.46 15-0 Sub. 60-00 Sub. 7*. 02 Sub. 2.00 Sub. 4.00 Sub. 0^76 Sub. 30 Sub. 20-8 Sub. ? X 1.42 Sub. \\ 30 Sub. 60-00 Sub. 10. 21 Sub. * V* 1.00 Sub. 23-7 * [200] KEOTCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 535 ijTt HO Excess of Observed Longitude. Elliptic Inequality. Change for fls-l 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. Annual Equation. Evcction. 1 Change forO?'l in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. ||ai 11 Effect of Mean Inclination. Chnnge for Os- 1 in Argument. "0 .2cu 1804. *', Feb. 15, 3.32.65-1 o ' it 21.26.46-03 rr 45-34 rr 60-69 * 5.48 3.15 0.84 e * 1.39 20 6-1 f * 2.56 17 o r rr 85. 7.61-00 55-13 // 65-87 s % 4.92 0.66 12-0 17. 5.22. 2-7 51.12.49-88 54-70 55-18 8.98 3.13 0.26 0.92 08 5-4 2.14 11 84. 46. 23-16 19-42 63-74 4.55 1.12 8-3 18. 6.20.54-0 65. 52. 54-91 55-45 59-46 10.60 3.00 0.24 0.60 08 5-2 1.88 09 85. 6.40-51 31-57 68-94 4.93 1.34 7-5 24.11.46.31-5 148.52.18-00 21-39 56-61 13.42 1.57 3.41 0.52 53 3-8 0.32 16 91.20.42-22 41-86 60-36 11.78 1.87 16-5 25.12.31.37-9 161. 50. 30-49 36-05 54-44 12. 62 1.37 4.24 0.85 54 3-6 0.16 20 92. 26. 53-29 57-34 55-95 12.97 1.79 19-4 28. 14. 34. 50-1 199. 30. 25-55 26-51 59-04 8.83 1.00 6.49 1.51 33 3-0 0.01 33 94. 45. 24-76 30-82 53-94 15.47 1.35 28-3 Mar. 14. 2. 16. 58'8 30. 27. 57-94 56-33 61-61 6.14 3.17 1.68 1.44 35 0-9 2.82 33 84. 58. 27-55 23-46 64-09 4.61 0.82 24-2 21. 8.57.55-1 131.23.5284 54-03 58-81 14.01 1.96 0. 94 0.03 23 0-3 1.80 09 89. 50. 23-25 24-71 58-54 10.19 1.90 7-5 24.11. 8.34-5 169. 59. 46-63 49-21 57-42 12.25 1.30 2.94 0.36 50 o-i 0.96 09 93. 4.36-41 31-11 65-30 13.77 1.70 9-2 25.11.49.10-3 182.31.11-00 15-89 55-11 11.09 1.15 3.76 0.67 54 o-i 0.70 11 93.53. 8-71 1-93 66-78 14.46 1.56 10-7 26. 12. 32. 1-5 194.56.28-64 43-12 45-52 9.74 1.05 4.59 0.99 53 o-i 0.47 14 94. 29. 50-94 57-14 53-80 15.34 1.40 12-8 28. 13. 57. 39-0 219. 31. 32-07 36-10 55-97 6.73 0.97 6.12 1.46 39 o-o 0.13 21 95. 4. 0-58 5-12 55-46 15. 93 1.03 17-5 April 3. 18.59.28-1 294. 44. 54-98 53-20 61-78 0.14 1.81 7.56 0.33 12 o-o 0.42 46 91.30.20-33 16-82 63-51 11.81 0.13 34-3 18. 7.42.39-5 140. 30. 24-74 14-16 70-58 13.96 1.86 0.38 0.32 11 1-1 2.63 18 90. 50. 68-72 55-74 62-98 11.24 1.89 13-9 20. 9. 8. 7-0 166. 1.48-37 45-34 63-03 12.85 1.41 1.21 0.00 28 1-3 2.24 12 92. 54. 25-82 27-50 58-32 13.57 1.73 9-8 22. 10. 28. 57-5 190. 51. 20-21 24-90 55-31 10.60 1.11 2.55 0.22 47 1-5 1.73 09 94.21. 16-42 4-94 71-48 15.21 1.44 7-7 May 1.17.42.59-1 302. 58. 36-60 45-69 50-91 0.06 1.90 7.78 0.78 07 2-9 0.00 31 90. 31. 61-41 57-66 63-75 10.87 0.10 21-4 14. 4.48.11-7 122. 9.14-81 11-20 63-61 13.78 2.28 0.66 1.32 16 5-6 2.56 43 89. 29. 45-80 34-87 70-93 9.55 1.89 32-9 17. 7. 7. 0-4 161.56.57-44 46-21 71-23 13.33 1.54 0.28 0.47 09 6-3 2.83 30 92.50.18-14 11-21 66-93 13.36 1.75 23-7 20. 9. 9.11-7 199. 11. 32-33 27-88 64-45 10.09 1.07 1.46 0.00 32 7-3 2.59 18 94. 46. 45-51 47-87 57-64 15.61 1.30 15-4 22.10.35.59-3 223. 39. 35-38 28-06 67-33 7.10 0.97 2.88 0.33 50 7-8 2. 19 11 95. 0. 6-15 1-38 64-77 15.91 0.92 11-0 26.13.58. 5-7 273. 17. 25-49 23-43 62-06 1.64 1.33 6.07 1.45 39 8-8 1.09 09 92. 46. 50-88 56-62 54-26 13.49 0.26 7-4 27. 14.49.35-6 285. 58. 20-33 20-38 59-95 0.77 1.52 6.71 1.52 29 9-3 0.82 10 91. 46. 49-84 51-87 57-97 12. 37 0.17 7-8 ! 29. 16. 28. 2-9 311.53.49-28 56-16 53-12 0.03 2.00 7.58 1.23 12 9-9 0.36 15 89. 30. 37-00 33-52 63-48 9.83 0.10 10-2 June 2.19.35.49-9 7.38.31-96 24-27 67-69 3.08 2.96 7.22 0.14 19 11-0 0.00 32 85. 31. 11-74 1-43 70-31 5.27 0.55 21-4 12. 4.17.37-5 143. 39. 33-64 24-97 68-67 14.00 1.92 0.87 1.40 21 14-2 1.94 51 91.35.41-65 36-90 64-75 11.83 1.86 39-1 ' 15. 6.26. 6-6 182.32. 10-11 4-35 65-76 12.11 1.28 0.24 0.63 07 15-1 2.60 42 94. 19. 37-40 33-71 63-69 14.92 1.51 33-9 18. 8.32.44-1 219.26.57-26 52-38 64-88 8.06 0.98 1.17 0.01 27 16-0 2.83 29 95. 9. 5-04 0-71 64-33 15.93 0.96 20-0 20. 10. 7. 43-6 244. 2. 28-69 16-63 72-06 5.00 1.01 2.49 0.20 46 17-0 2.70 20 94. 32. 12-01 6-33 65-68 15.30 0.59 20-2 Sub Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub 60-00 7.02 \ U 2.00 \ \\ 4.00 K \ 0.76 \\ 30 20-8 1.42 30 eo'-oo s \ 10.21 1. 00 23-7 ' . SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [201] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. ill ig-s *5J Excess | of Observed j Longitude. X S3 0.5 H 3- a Change for OS'l in Argument. Parallactic Inequality. Variation. Change for 08-1 in Argument. Annual Equation. Evection. Change for 0^- 1 I in Argument. Ecliptic N.P.D. of Moon's Center from Observation. seconds of Tabular Ecliptic N. P. D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inrliuation. Change for 0- 1 in Argument. e . :o I 3 " - ^ g z -- 1804. d h m ! O I II " n g v V \\ \ \\ s " \\ > * o / GREENWICH LUNAR REDUCTIONS. 2[D] [202] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. if ~ c" Change for Os- 1 I in Argnment. Parallactic Inequality. Variation. 1 Change for 08-1 1 in Argument. Annual Equation. Evection. Change for Qfl in Argument. Ecliptic N.P, D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. cs. . Effect of Mean Inclination. Change for 08-1 1 in Argument. z ~ .9 a, |z Ubj 1804. d h m 1 H " a g * < , g " \v \ g * O 1 II a ii g \ \\ \ Sep. 14. 7.59. 2-2 291.40.32-97 32-22 60-75 1.15 1.42 0.84 0.06 21 40-6 1.59 52 91. 5.26-74 18-81 67-93 11.27 0.11 38-7 15. 8.49.10-5 304.50. 6-11 5-04 6T07 0.44 1.64 1.37 0.00 31 40-7 1.87 51 89. 54. 59-76 45-56 74-20 9.96 0.10 39-6 16. 9.38. 9-4 318.23.48-81 47-95 60-86 0.07 1.88 2.03 0.09 41 40-8 2.14 49 88.42.43-16 32-80 70-36 8.61 0.14 40-0 19.12. 5.22-3 1.39. 3-07 0-08 62-99 1.27 2.65 4.42 0.93 53 41-1 2.71 39 85. 40. 30-84 31-18 59-66 5.28 0.55 36-9 20. 12. 56. 27-0 16.45. 9-04 1-61 67-43 2.42 2.87 5.23 1.23 49 41-2 2.80 35 85. 7.30-98 37-73 53-25 4. 70 0.77 34-5 21. 13. 50. 17-6 32. 0.70-40 57-17 73-23 3.86 3.04 5.97 1.44 41 41-3 2.83 30 84. 54. 59-25 62-20 57-05 4.50 1.00 31-3 22.14.47.34-7 47. 18. 44-45 37-34 67-11 5.53 3.15 6.67 1.52 30 41-3 2.81 26 85. 4. 2-84 4-34 58-50 4.70 1.24 27-8 23. 15. 47. 59-4 62. 30. 14-73 6-92 68-81 7.30 3.18 7.19 1.45 21 41-4 2.72 21 85.33.48-16 53-54 54-62 5.29 1.46 24-2 25.17.51.33-1 92. 10. 22-29 16-47 65-82 10.66 3.00 7.74 0.98 08 41-5 2.39 14 87. 22. 58-08 63-45 54-63 7.39 1.78 17-2 Oct. 12. 6.38.64-7 298. 55. 55-88 52-78 63-10 0.85 1.50 0.34 0.38 10 41-3 0.56 48 90. 13. 13-54 12-93 60-61 10.40 0. 10 28-5 15. 9. 1.49-1 339. 30. 19-59 21-25 58-34 0.18 2.23 1.68 0.02 36 41-0 1.37 53 86. 53. 23-04 13-42 69-62 6. 63 0.30 36-4 16. 9.49.54-6 354. 2.16-88 20-96 55-92 0.73 2.50 2.38 0.17 45 41-0 1.66 52 85. 59. 62-47 65-47 67-00 5.62 0.47 38-3 17. 10. 39. 58-7 9. 4.18-27 19-30 58-97 1.66 2.74 3.17 0.43 52 40-9 1.94 51 85.21.20-17 17-03 63-14 4.89 0.67 39-5 18.11.33.10-0 24. 30. 36-07 46-36 49-71 2.93 2.94 4.00 0.75 64 40-8 2.20 49 85. 1.40-83 41-95 58-88 4.53 0.91 40-0 19.12.32.49-3 40. 14. 19-67 12-27 67-40 4.47 3.09 4.82 1.08 52 40-7 2.43 46 85. 4. 5-10 2-92 62-18 4.58 1.15 39-5 20. 13. 34. 5-6 56. 0.10-82 4-52 66-30 6.20 3.17 5.62 1.34 45 40-6 2.61 42 85. 28. 52-05 48-59 63-46 5.05 1.39 38-2 22. 15. 42. 12-0 86. 56. 34-30 44-47 49-83 9.69 3.08 6.91 1.50 26 40-3 2.82 33 87. 14. 19-86 16-87 62-99 7.06 1.75 33-3 23.16.43.45-1 101. 49. 58-08 68-37 49-71 11.22 2.93 7.39 1.37 16 40-2 2.83 29 88. 24. 46-33 45-45 60-88 8.41 1.85 30-2 25.18.33. 8-4 130. 13. 52-50 47-54 64-96 13.37 2.47 7.78 0.83 07 39-9 2.69 20 90. 52. 52-73 57-08 55-65 11.22 1.89 23-5 27.20. 5.49-1 157. 3.49-95 46-56 63-39 14.01 1.95 7.44 0.26 14 39-6 2.33 13 93. 1. 30-50 34-18 56-32 13.67 1.72 17-2 Nov. 13. 8.25.23-1 1.15.28-16 25-69 62-47 1.04 2.59 1.33 0.00 30 36-4 0.62 49 85. 29. 15-82 13-57 62-25 5.16 0.58 27-8 17. 12. 16. 38-9 63. 33. 69-30 58-15 71-15 6.86 3.18 4.42 0.91 53 35-3 1.74 52 85.54. 9-18 3-68 65-50 5.51 1.51 38-9 19. 14. 28. 32-3 95.10.51-19 56-08 55-11 10.29 3.03 5.97 1.43 41 34-8 2.27 48 88. 4.39-79 36-90 62-89 7.91 1.82 39-9 Dec. 14. 9.50. 4-9 54. 44. 28-89 29-86 59-03 5.74 3.16 2.33 0.16 45 27-0 0. 45 46 85.26.26-04 27-39 58-65 5. 13 1.41 25-2 15.10.55. 2-5 70.38. 4-55 4-37 60-18 7.53 3.18 3.12 0.42 51 26-4 0.69 49 86.17.53-40 58-00 55-40 6.04 1.61 29-0 16.12. 4.31-4 86. 36. 38-63 39-26 59-37 9.27 3. 11 3.94 0.74 54 26-1 0.95 51 87.27. 0-68 4-61 56-07 7.28 1.77 32-4 20. 15. 56. 11-6 147. 1.14-98 29-45 45-53 13.80 2.28 6.91 1.51 26 24-8 2.10 50 92. 43. 14-27 18-73 55-54 13.07 1.78 39-9 23. 18. 9. 8-6 187. 9.37-92 43-33 54-59 13.31 1.53 7.77 0.85 07 23-5 2.69 40 94. 58. 19-96 20-81 59-15 15.59 1.30 38-0 1805. Jan. 6. 4. 14. 30-4 350.37. 7-50 7-12 60-38 0.23 2.27 0.42 1.16 12 18-8 0.61 12 85. 39. 38-57 42-52 56-05 5.56 0.48 8-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sut 60-00 7*. 02 \ \\ 2.00 4.00 0.76 30 20-8 e % 1.4-2 30 60-00 10.21 i. ob 23-; SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [203] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 0=2 o - 1. Z 32 t*_ c Excess of Observed Longitude. u ~ ll Change for Os- 1 in Argument. Parallactic Inequality. Variation. Change for 0?-1 in Argument. Annual Equation. Evection. Change for 08-1 I in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P. D. J.I os, . U '* S' Effect of Mean Inclination. Change for 08-1 in Argument. -d Jfc 8(4 1805. < h m 5 Jan. 8. 5. 47. 9'8 O / ff 18.21.24-41 ft 22-49 ft 61-92 1.80 \ \\ 2.77 \ \\ 0.25 g * 0.56 u 08 17-8 g " 0.22 IS O f ff 84.45. 5-19 4-23 60-96 * 4.55 0.88 7-6 14.11.47.12-9 109. 23. 47-97 51-98 55-99 11.39 2.90 3.52 0.57 53 15-5 0.31 44 89. 25. 42-82 42-70 60-12 9.57 1.90 22-7 15.12.48.26-2 124.41.55-40 62-51 52-89 12.61 2.69 4.36 0.90 53 15-2 0.51 47 90. 50. 32-80 28-10 64-70 11.10 1.89 26-5 18.15.18.17-1 168. 3.39-88 48-69 51-19 13.99 1.92 6.58 1.51 32 14-2 1.32 53 94. 12. 10-35 9-18 61-17 14.75 1.55 356 20. 16. 46. 32-0 194. 41. 29-86 30-64 59-22 13.03 1.46 7.51 1.29 13 13-6 1.89 61 95. 11. 50-25 52-91 57-34 15.83 1.17 38-9 Feb. 5. 4.34.43-2 28. 17. 13-66 13-11 60-55 2.26 2.85 0.31 1.03 09 8-6 1.06 09 84. 45. 15-76 13-52 62-24 4.51 1.06 11-0 6. 5.27.49-5 42. 42. 53-02 54-64 58-38 3.69 3.03 0.22 0.72 07 8-4 0.79 10 84.59. 9-11 1-70 67-41 4.78 1.28 9-1 8. 7.25.49-2 72. 13. 3-58 4-56 59-02 7.09 3. 18 0.57 0.16 16 7-6 0.34 16 86.24. 6-00 1-30 63-70 6.36 1.66 7-4 11.10.29.50-6 117.15. 8-08 6-74 61-34 11.89 2.83 2.33 0.15 44 6-8 0.01 28 90. 9. 50-43 49-42 61-01 10.50 1.90 10-8 12. 11.25.14-0 132. 6.40-26 41-00 59-26 12. 97 2.60 3.12 0.40 51 66 0.01 33 91.30.15-93 769 68-24 11.97 1.86 13-3 13.12.16.41-7 13.12.18.66-5 146.44. 0-14 146.45.18-23 5-22 23-93 54-92 54-30 13.68 13.68 2.34 2.34 3.94 3.94 0.72 0.72 54 54 6-3 6-3 0.07 0.07 37 37 92.43. 1-98 92.43. 8-49 3-83 9-98 58-15 58-51 13.29 13.29 1.76 1.76 16-3 16-3 16. 14. 38. 5-2 188.34.19-89 26-83 53-06 13.48 1.59 6.27 1.48 37 5-4 0.57 48 94. 58. 59-94 64-22 55-72 15.72 1.24 26-3 17. 15. 22. 56-0 201.45.28-61 32-70 55-91 12.70 1.38 6.87 1.51 27 5-2 0.82 51 95.11.21-62 23-65 57-97 15.93 1.04 29-2 18.16. 8.29-7 214. 36. 21-67 23-24 58-43 11.65 1.22 7.34 1.40 17 5-0 1.10 52 95. 7.34-70 35-52 59-18 16.84 0.83 32-0 19. 16.55.19-3 227. 10. 35-67 39-96 55-71 10.38 1.09 7.64 1.17 11 4-8 1.39 53 94. 48. 53-30 56-98 56-32 15.47 0.65 34-5 Mar. 5. 3.24. 7'6 38. 18. 31-86 29-14 62-72 2.78 2.92 0.78 1.38 19 2-1 2.09 11 85. 1.60-91 55-68 65-23 4.69 1.23 22-2 6. 4.20.27-7 52. 59. 19-91 21-83 58-08 4.30 3.08 0.42 1.18 12 1-9 1.83 00 85. 30. 32-81 27-70 65-11 5.25 1.45 18-7 8. 6. 21. 15-4 82. 27. 24-20 30-58 53-62 7.77 3.17 0.25 0.57 08 1-7 1.26 08 87.18. 9-75 6-64 63-11 7.30 1.77 12-6 10. 8.20.49-2 111.45.20-30 28-53 51-77 11.06 2.95 0.78 0.08 20 1-3 0.72 11 89.47. 5-29 2-11 63-18 10.10 1.90 8-6 11. 9.15.59-4 126. 14. 57-61 63-34 54-27 12.34 2. 75 1.29 0.00 29 1-2 0.48 13 91. 4.24-52 19-55 64-97 11.53 1.88 7-7 12.10. 7.32-5 140.35.41-44 46-70 54-74 13.28 2.50 1.93 0.06 40 1-1 0.29 17 92. 16. 41-15 34-38 66-77 12.88 1.80 7-4 13.10.56. 1-8 154. 45. 24-96 31'93 53-03 13.84 2.24 2.66 0.26 48 1-0 0.14 20 93. 19. 20-27 14-95 65-32 14.04 1.67 7-9 15. 12.29.42-6 182.24. 8-15 16-57 51-58 13.80 1.73 4.30 0.88 54 0-8 0.00 29 94.43. 0-44 1-03 59-41 15.58 1.31 11-0 22. 18. 5. 18-5 271.12.27-70 30-38 57-32 5.32 1.00 7.77 0.73 07 0-2 1.18 52 91. 52. 45-86 43-92 61-94 12.27 0. 16 29-9 23. 18. 54. 53-0 283. 29. 37-39 44-03 53-36 3.86 1. 08 7.64 0.43 10 0-2 1.47 53 90. 49. 54-47 44-82 69-65 11.08 0.11 32-4 24. 19. 43. 17-4 295.55.58-19 64-97 53-22 2.56 1.20 7.34 0. 19 17 0-1 1.76 52 89. 43. 51-09 41-52 69-57 9.84 0.10 34-9 25. 20. 30. 24-2 308.37. 6-63 12-84 53-79 1.47 1.36 6.87 0.07 26 o-i 2.03 50 88. 37. 30-33 15-54 74-79 8.59 0. 14 36-9 April 7. 7.11.54-8 121.49. 19-04 25-29 53-75 11.58 2.88 0.31 0.42 09 0-1 1.75 09 90. 54. 13-00 5-37 67-63 11.24 1.89 17-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60'-00 7. 02 2.00 4.00 6.76 30 20-8 1.42 30 6o"-00 10*. 21 i. oo 23-7 2 [D] 2 [204] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. ll a* WJ Change for Os-1 I in Argument. Parallactic Inequality. Variation. Change for OS- ll in Argument. Annual Equation. Evection. Change for 0-1 1 in Argument. | Ecliptic N.P.D. of Moon's Center from Observation. F Seconds of ibular Ecliptic 1 N. P. D. |J 2 Effect of Mean Inclination. Change for 08-1 in Argument. e . fz MM 1805. *'*' April 8. 8. 3.39-6 > H 135.59.27-72 37-84 rr 49-88 12.74 g % 0.17 15 0-2 * 1.46 08 O / '/ 92. 5.23-92 23-28 60-64 s * 12.60 1.82 i 14-8 2.66 0.57 9. 8.52. 2-4 149. 56. 10-60 24-29 46-31 13.54 2.41 1.01 0.02 24 0-2 1.18 08 93. 7.53-46 53-93 59-53 13.79 1.70 12-0 10. 9.38. 1-7 163. 40. 16-35 32-39 43-96 13.95 2. 14 1.59 0.01 34 0-3 0.91 09 93. 58. 22-15 23-43 58-72 14.75 1.55 10-0 11. 10.22.42-1 177. 12. 5-80 24-41 41-39 13.97 1.88 2.28 0.14 44 0-4 0.65 11 94. 34. 33-02 32-87 60-15 15.44 1.36 8-6 12. 11. 7. 5-2 190.31.42-36 55-16 47-20 13.62 1.64 3.06 0.38 51 0-5 0.43 14 94.55. 3-57 2-71 60-86 15.83 1.17 7-7 13.11.52. 2-4 203. 38. 33-38 . 46-24 47-14 12. 93 1.43 3.88 0.70 54 0-5 0.25 18 94.59.33-18 30-98 62-20 15.93 0.96 7-4 13.11.54.11-1 203. 39. 37-32 54-02 43-30 12. 92 1.43 3.88 0.70 54 0-5 0.25 18 94. 59. 34-04 30-60 63-44 15.93 0.96 7-4 19.16.47.20-1 278.33.38-38 35-25 63-13 4.76 1. 02 7.63 1.19 11 1-2 0.27 43 90.59.42-10 44-19 57-91 11.43 0.12 16-3 22. 19. 8. 3-5 315.50.53-10 53-80 59-30 1.13 1.43 7.51 0.31 13 1-5 0.96 51 87. 46. 52-65 45-36 67-29 7.77 0.19 25-0 23. 19. 52. 51-8 328. 49. 45-13 48-43 56-70 0.43 1.64 7.12 0.12 21 1-6 1.25 52 86. 48. 57-00 52-47 64-53 6.67 0.30 28-0 24. 20. 37. 46-8 342. 14. 30-31 28-06 62-25 0.07 1.88 6.63 0.05 30 1-7 1.54 53 85. 59. 40-31 34-35 65-96 5.72 0.44 30-9 May 3. 4. 8. 34-2 102. 24. 37-74 40-63 57-11 9.11 3.12 0.81 1.38 20 3-3 2.81 26 89. 26. 37-14 25-85 71-29 9.45 1.89 36-3 5. 6. 0.38-9 131.41.61-86 56-88 64-98 12.07 2.80 0.26 0.90 08 3-6 2.60 18 91.59.29-59 24-74 64-85 12. 33 1.84 30-6 6. 6.50.12-4 145.47. 6-98 3-40 63-58 13.09 2.56 0.25 0.58 08 3-8 2.42 14 93. 4.16-78 16-37 60-41 13.57 1.73 27-5 9. 9. 5. 2-3 186. 13. 46-28 57-81 48-47 13.88 1.79 1.25 0.00 29 4-4 1.68 08 94. 57. 37-78 34-80 62-98 15.78 1.21 18-0 10. 9.49. 9-6 199. 14. 27-24 41-63 45-61 13.39 1.56 1.88 0.05 39 4-6 1.39 08 95. 4.22-59 19-57 63-02 15.93 I. 01 15-0 11.10.34.22-3 212. 4. 4-00 16-26 47-74 12. 58 1.36 2.60 0.24 47 5-0 1.11 09 94. 55. 41-84 33-98 67-86 15.80 0.81 12-8 12.11.21.10-0 224. 43. 40-40 55-29 45-11 11.50 1.20 3.41 0.52 53 5-2 0.84 10 94. 32. 27-17 17-61 69-56 15.39 0.62 10-7 13. 12.11.52-2 237. 15. 33-63 47-30 46-33 10.20 1.08 4.24 0.85 54 5-4 0.59 12 93.56. 9-16 1-03 68-13 14.74 0.45 9-1 14.13. 1.40-0 249.38.33-81 45-23 48-58 8.74 1.00 5.05 1.17 50 5-6 0.38 15 93. 8.57-24 51-64 65-60 13.89 0.31 8-1 23.20. 0.25-9 3. 36. 40-53 28-90 71-63 0.19 2.24 6.91 0.07 25 8-0 0.76 50 84. 59. 28-78 26-29 62-49 4.70 0.76 20-7 24. 20. 49. 23-0 17. 58. 13-44 9-06 64-38 0.74 2.50 6.31 0.07 35 8-3 1.04 52 84.50.44-15 35-41 68-74 4.50 0.98 24-2 25.21.42.36-4 32.62. 4-06 1-34 (62'72) 1.68 2.74 5.62 0.21 44 8-5 1.32 53 85. 1.74-97 52-41 (82-56) 4.66 1.22 27-8 June 2. 4.45.17-5 140. 50. 53-49 53-23 60-26 12.50 2.71 0.60 1.30 16 10-7 2.81 34 92. 54. 33-59 30-12 63-47 13.28 1.76 39-3 8. 9. 18. 33-9 220. 42. 51-07 50-66 60-41 12.20 1.29 1.55 0.01 34 12-7 2. 14 11 94.45.64-31 56-35 67-96 15.50 0.66 25-2 9. 10. 6. 12-4 233.11. 1-16 3-82 57-34 11.02 1.15 2.23 0.13 43 13-0 1.88 09 94.11.59-44 50-71 68-73 14.90 0.48 22-2 10. 10. 55. 22-8 245. 32. 27 82 29-86 57-96 9.66 1.04 3.00 0.36 50 13-3 1.60 08 93. 26. 22-01 11-94 70-07 14.09 0.34 19-4 11.11.45.28-7 257. 49. 0-52 4-39 56 13 8.17 0.98 3.82 0.68 54 13-9 1.32 08 92.31.16-52 12-26 64-26 13.10 0.22 16-8 12.12.37.49-1 270. 3.31-46 38-15 53-31 6.63 0.97 4.65 1.01 53 14-2 1.04 09 91.29.22-54 16-88 65-66 11.98 0.14 14-1 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2.00 4.00 6.76 30 20-8 1.42 30 60-00 10. 21 i. o % 6 23-7 SECT. III. COMPAKISON OF MOON'S OBSERVED AND TABULAR PLA Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. |f wj Change for 0?'l 1 in Argument. Parallactic Inequality. Variation. Change for Os-1 in Argument. __ d 3-3 = Evection. Change for 0-1 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. seconds of Tubular Ecliptic! N.P. D. 2 iL . Effect of Mean Inclination. Change for OB-1 in Argument. 1 1905. " h m ' June 15. 15. 0. 4-9 Of" 306. 46. 43-68 n 46-13 n 57-55 2.40 1.22 6.79 s * 1.51 \\ 28 15-1 s ' 0.33 16 o / // 88. 10. 22-07 n 24-13 if 57-94 s * 8.35 D. 15 I 8-8 18. 17. 9. 59-4 344. 44. 40-49 37-95 62-54 0. 12 1.82 7.76 0.92 08 16-0 0.01 28 85.31. 4-57 2-47 62-10 5.41 0.51 7-6 30. 3. 25. 46-2 149. 5. 32-90 40-60 52-30 12.87 2.62 1.37 1.46 30 20-2 2.24 48 93. 35. 28-36 16-10 72-26 14.05 1.67 37-7 July 9. 10. 31. 47-4 266. 2. 35-32 22-06 73-26 7.59 0.97 2.55 0.23 47 23-3 2.31 13 91. 51. 22-66 14-01 68-65 12. 22 0.16 29-9 10.11.21.22-8 278. 15. 22-59 8-24 74-35 6.05 0.98 3.35 0.51 53 23-7 2.07 10 90. 45. 46-88 37-83 69-05 11.03 0.11 27-3 13. 13. 42. 57-1 315. 16. 4-76 1-63 63-13 1.97 1.27 5.77 1.39 43 24-9 1.25 08 87. 26. 49-60 52-30 57-30 7.44 0. 21 18-7 19. 18. 13. 43-0 34. 4(3. 42-64 55-92 46-72 1.42 2.69 7.67 0.47 10 26-8 0.04 25 84. 58. 50-41 49-97 60-44 4.80 1.29 7-5 Aug. 1. 5.11.11-6 211.55.33-17 29-19 63-98 13.30 1.53 0.34 1.08 10 30-9 2.30 48 95. 3.60-89 54-04 66-85 15.70 0.74 37-3 6. 9. 16. 47-1 274. 1.18-71 7-18 71-53 7.00 0.97 1.50 0.01 33 32-5 2.82 27 91. 7.30-68 25-33 65-35 11.31 0.12 39-1 10. 12. 24. 49-9 323. 42. 59-75 44-17 75-58 1.58 1.34 4.59 0.99 53 33-6 2.25 12 86. 49. 44-36 47-23 57-13 6.62 0.30 31-8 11. 13. 8. 7-9 336. 33. 20-50 6-24 74-26 0.73 1.53 5.40 1.27 48 33-8 2.01 10 85. 59. 32-23 34-81 57-42 5.72 0.45 29-0 13. 14. 35. 23-1 2. 54. 68-28 54-62 73-66 0.03 2.01 6.75 1.52 29 34-6 1.46 08 84. 56. 41-40 42-28 59-12 4.62 0.82 22-9 14.15.21.18-7 16. 28. 46-00 28-39 77-61 0.24 2.28 7.25 1.43 19 34-8 1.17 08 84.48.41-04 43-05 57-99 4.50 1.03 19-7 Sep. 5. 9. 33. 35-4 306. 17. 1 1-89 5-46 66-43 3.49 1.10 1.78 0.04 38 39-4 2.80 35 88. 8.63-56 50-75 72-81 8.00 0.17 39-8 6. 10. 18.29-3 318.54. 10-31 2-10 68-21 2.25 1.24 2.49 0.21 46 39-6 2.83 31 87. 9.27-49 14-99 72-50 6.89 0.27 40-0 7.11. 2.29-0 331.45.67-22 57-64 69-58 1.22 1.41 3.29 0.48 52 39-7 2.81 26 86. 17. 17-49 17-13 60-36 5.93 0.40 39-7 8.11.46.16-9 344. 54. 39-69 26-20 73-49 0.49 1.62 4.12 0.81 54 39-8 2.73 22 85.36. 9-15 3-17 65-98 5.18 0.57 38-8 11.14. 7.30-7 25. 59. 45-80 26-47 79-33 0.43 2.38 6.40 1.50 34 40-2 2.19 12 85. 2.59-77 58-64 61-13 4.64 1.20 32-4 12. 14. 59. 24-3 40. 9.35-47 17-27 78-20 1. 19 2.63 6.98 1.49 24 40-4 1.94 10 85. 27. 11-22 12-43 58-79 5.12 1.41 29-5 14. 16. 53. 38-3 69. 0.67-84 56-74 71-10 3.75 3.03 7.69 1.10 09 40-6 1.38 08 87. 5.43-07 43-41 59-66 7.02 1.75 22-4 15. 17.54.13-1 83. 38. 63-34 58-56 64-78 5.40 3.14 7.78 0.79 07 40-7 1.09 09 88. 14.41-38 31-69 69-69 8.32 1.86 19-2 18.20.49. 8-5 127. 56. 57-55 59-00 58-55 10.54 3.01 6.95 0.08 24 41-0 0.36 15 92. 4.10-80 9-92 60-88 12.65 1.81 10-4 19.21.41.46-6 142. 42. 9-14 15-89 53-25 11.92 2. 82 6.36 0.06 34 41-1 0.19 19 93. 10. 26-25 30-13 56-12 13. 89 1.69 8-7 Oct. 2. 7.26.36-0 301. 6.54-10 52-14 61-96 4.36 1.04 0.51 0.21 14 41-6 1.92 51 88. 22. 52-01 46-1S 65-82 8.34 0.15 29-5 3. 8. 11. 41-6 313.33.29-14 28-35 60-79 3. 0( 1.15 0.90 0.04 22 41-6 2.18 49 87. 23. 22-46 11-95 70-51 7.21 0.23 32-0 4. 8.55.48-1 326. 15. 25-02 22-46 62-56 1.83 1.30 1.46 0.00 32 41-6 2.41 46 86. 30. 18-65 15-81 62-84 6.22 0.36 34-5 5. 9.39.37-8 339. 16. 40-22 37-80 62-42 0.91 1.48 2.13 0.10 42 41-6 2.60 42 85. 46. 56-95 55-55 61-40 5.39 0.52 36; 6. 10. 24. 2-9 352. 39. 48-83 44-38 64-45 0.30 1.70 2.88 0.32 50 41-5 2.73 38 85. 16. 14 21 12-73 61-48 4.81 0.71 38-3 7.11.10. 1-0 6. 25. 28-93 20-58 68-35 0.04 1.95 3.70 0.63 54 41-5 2.81 34 85. 0.54-22 56-28 57-93 4.52 0.92 39-5 Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 7*. 02 2. 00 4.00 0*76 30 20-8 1.42 30 60-00 10. 2! 1. 00 23-7 [206] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. u Greenwich . to . ii ** Ecliptic ' -i 60 . Mean Solar Time of Observation of Longitude of Moon's Center from Seconds f Tabular 1/ongi tude. Excess f Observec -/ongitude. '11 sj lange forC Argument 'arallactic nequality. /ariation. 11 - u 1 d 11 ~ 3 w Evection. 8,1" N.P.D. of Moon's Center from Seconds ol bular Ecli] N. P. D. O a, . Effect of Mean nclination ange for Argument a G , ,= &, fe Moon's Limb. Observation. o " o " 5J o.S 3-5 Observation. A Trl *> 10 6.9 Kid 1805. *';**'.; o t a " tf g * \ \\ , s * > 1 K * o / '/ " it e " N \\ ' Oct. 10.13.48.22-8 49. 36. 46-05 31-00 75-05 1.57 2.72 6.07 1.45 40 41-4 2.70 21 86. 3.43-34 49-15 54-19 5.70 1.55 38-8 11. 14. 47. 26-8 64. 22. 70-83 54-70 76-13 2.82 2.93 6.71 1.52 29 41-4 2.55 17 86. 59. 15-85 24-79 51-06 6.75 1.72 37-0 13. 16. 49. 31-3 93. 59. 35-65 28-20 67-45 6.07 3.17 7.58 1.24 12 41-2 2. 12 11 89. 23. 7-34 6-99 60-35 9.47 1.89 31-8 17. 20. 26. 17-5 152. 6.27-08 30-32 56-76 12.37 2.74 7.22 0.14 19 40-9 1.02 09 93. 55. 54-17 61-68 52-49 14.65 1.57 18-2 18. 21. 13. 55-6 166. 17. 51-79 65-99 45-80 13.30 2.50 6.71 0.05 29 40-8 0.75 11 94. 34. 46-86 59-21 47-65 15.41 1.38 15-0 30. 6. 4.36-1 308. 14.51-14 42-02 69-12 3.83 1.08 0.23 0.65 07 39-2 0.86 51 87.32.36-10 28-90 67-20 7.55 0.20 15-9 31. 6.48.21-9 320. 39. 14-42 6-98 67-44 2.54 1.20 0.35 0.35 11 39-1 1.13 52 86. 38. 16-02 11-80 64-22 6.52 0.31 18-4 Nov. 1. 7.31.30-3 333. 19. 52-98 49-43 63-55 1.45 1.36 0.66 0. 12 17 38-9 1.42 53 85.52.41-93 36-59 65-34 5.65 0.46 21-4 2. 8.14.55-9 346.22.11-08 9-81 61-27 0.65 1.56 1.13 0.01 27 38-7 1.71 52 85. 18. 33-14 28-26 64-88 4.99 0.64 24-5 3. 8. 59. 41-0 359. 50. 14-94 14-79 60-15 0.16 1.79 1.73 0.03 37 38-6 1.99 51 84. 58. 37-47 35-52 61-95 4.59 0.84 27-8 15.19.58. 0-9 175. 50. 24-59 27-50 57-09 13.55 2.40 7.42 0.23 15 35-7 1.79 09 95. 1.36-41 40-52 55-89 15.77 1.21 28-0 Dec. 2. 8.22.59-1 20. 47. 40-70 32-04 68-66 0.09 2.15 1.41 0.00 31 31-0 1.20 52 84. 53. 59-34 60-32 59-02 4.62 1.19 17-2 5. 11. 13. 42-5 65. 28. 70-66 57-64 73-02 2.49 2.88 3.64 0.61 53 30-1 2.06 50 87.12.48-68 50-93 57-75 7.08 1.75 28-0 6. 12. 20. 55-6 81. 8.50-20 44-26 65-94 3.97 3.05 4.47 0.95 53 29-5 2.31 47 88.31.18-80 18-36 60-44 8.49 1.86 31-6 8. 14. 27. 51-2 112.29.37-33 38-42 58-91 7.42 3. 18 6.02 1.45 40 28-9 2.68 40 91.22. 14-49 19-41 55-08 11.60 1.87 37-2 9. 15. 25. 42-4 127. 50. 69-02 66-91 52-11 9.16 3.12 6.67 1.52 30 28-6 2.78 36 92.40.21-08 24-80 56-28 13.03 1.78 38-9 10.16.19. 8-7 142. 50. 35-80 42-72 53-08 10.76 2.98 7.19 1.44 20 28-3 2.83 31 93.45.31-41 36-01 55-40 14. 22 1.64 39-8 11.17. 8.56-8 157. 25. 37-48 41-71 55-77 12.10 2.79 7.56 1.25 12 28-0 2.82 27 94. 34. 9-13 16-06 53-07 15.13 1.46 39-9 12.17.56.17-8 171. 35. 54-47 58-97 55-50 13.11 2.56 7.74 0.97 08 27-7 2.75 22 95. 4.35-56 39-76 55-80 15.69 1.26 39-4 13. 18. 42. 26-6 185. 23. 13-52 13-90 59-62 13.76 2.30 7.75 0.65 08 27-4 2.62 18 95. 16. 25-77 29-96 55-81 15.93 1.04 38-1 15. 20. 15. 16-4 211.59. 13-74 13-32 60-42 13.87 1.78 7.25 0.15 19 26-4 2.24 12 94. 48. 16-63 15-60 61-03 15.45 0.64 34-1 27. 4.45.52-5 348. 27. 64-93 55-15 69-78 0.81 1.51 0.29 0.98 09 22-5 0.00 31 84. 58. 49-61 52-20 57-41 4.81 0.71 8-1 31. 7.54. 7-0 42. 27. 30-48 19-13 71-35 0.76 2.51 1.09 0.01 26 20-8 0.49 47 85. 39. 19-74 21-98 57-76 5.54 1.52 9-6 1806. Jan. 1. 8.51.50-9 57.12.38-02 31-38 66-64 1.71 2.75 1.68 0.03 36 20-5 0.73 50 86. 34. 25-02 26-26 58-76 6.53 1.69 11-7 2. 9.54. 8-5 72. 28. 13-26 9-57 63-69 3.01 2.95 2.38 0.18 45 20-1 1.00 52 87. 45. 36-04 40-73 55-31 7.82 1.82 14-6 6.14. 5.48-0 135.39.13-02 17-48 55-54 9.79 3.08 5.67 1.36 45 18-5 2.14 49 93.17. 2-39 4-06 58-33 13.80 1.70 29-2 8.15.49.41-6 165. 56. 25-94 35-67 50-27 12.52 2.71 6.95 1.50 25 17-8 2.57 43 94. 55. 37-32 41-10 56-22 15. 56 1.32 35-4 14. 20. 39. 44-3 246. 10. 23-54 18-54 65-00 12.16 1.29 7. 02 0.09 23 15-5 2". 58 17 92.44.51-06 33-16 77-90 13.11 0.22 38-6 24. 3.26.50-1 357. 1 . 30-99 26-91 64-08 0.56 1.59 0.72 1.35 18 12-4 0.36 15 84. 50. 63-82 59-61 64-21 4.57 0.86 16-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. H g \ x %\ % \\ K \ xx x K \ B g \ > ^ 60-00 7.02 2. 00 4.00 0.76 30 20-8 1.4-2 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [207] Greenwich Mean Solar Time of Observation of Moon's Limb, Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. c Change for Os- 1 1 in Argument. Parallactic Inequality. d o ."* 1 Change for OK- 1 1 in Argument. Annual Equation. Evection. Change for Oe- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. .4.2 .2- . Effect of Mean Inclination. Change for Of 1 1 in Argument. o *** W W 1806. "< Jan. 25. 4. 10. 1-0 o / tr 9. 54. 64-06 tt 59-94 tr 64-12 g " 0. 12 s * 1.13 u 11 12-1 v 0. 19 19 O 1 It 84. 46. 40-96 37-04 ii 63-92 4.51 1.06 13-9 1.83 0.38 30. 8.37.28-7 80. 3.32-81 27-69 65-12 3.57 3.02 1.37 0.00 31 10-3 0.17 41 88.28.21-23 25-25 55-98 8.67 1.87 7-5 31. 9.40.45-6 95. 24. 57-68 56-05 61-63 5.21 3.14 2.03 0.08 41 10-0 0.34 45 89. 51. 13-84 12-17 61-67 10.20 1.90 8-4 Feb. 12.20. 15.49-7 266.41. 12-08 11-21 60-87 10.47 1. 10 7.25 0.16 18 6-6 2.83 29 90. 52. 32-98 51-60 41-38 11.04 0.11 39-5 26. 6.25.52-5 74. 14. 50-78 49-57 61-21 2.67 2.91 0.33 0.39 10 3-4 0.15 20 88. 10. 16-43 12-37 64-06 8.26 1.85 14-1 27. 7.26. 8-4 88.52.28-46 24-37 64-09 4.17 3.07 0.63 0. 14 16 3-2 0.05 24 89. 25. 62-82 59-58 63-24 9.68 1.90 11-5 28. 8.26.44-2 103.49.62-81 57-05 65-76 5.86 3.16 1.09 0.01 25 3-0 0.00 29 90. 45. 40-27 40-55 59-72 11.18 1.89 9-4 Mar. 3.11.17. 4-7 149. 57. 23-75 35-31 48-44 10.93 2.96 3.17 0.43 52 2-4 0.22 42 94. 8.23-38 19-56 63-82 14.96 1.50 7-8 5.13. 2.25-3 180. 27. 26-74 33-60 53-14 13.22 2.53 4.82 1.08 52 2-1 0.62 49 95. 1.31-23 33-56 57-67 15.92 1.05 10-8 6. 13. 52. 50-7 195.11. 19-89 20-34 59-55 13. 81 2.27 5.62 1.34 45 1-9 0.88 51 94.57. 6-92 9-82 57-10 15.82 0.82 13-3 9. 16. 26. 18-7 236.33. 6-17 5-08 61-09 13.28 1.52 7.37 1.38 17 1-4 1.74 52 93. 5. 12-23 15-60 56-63 13.67 0.28 22-4 12. 18. 59. 10-3 274.21.26-01 28-05 57-96 9.95 1.06 7.71 0.53 09 1-1 2.48 45 89.58.21-04 19-20 61-84 10.12 0.10 31-1 24. 3.23.54-8 55. 46. 38-31 36-42 61-89 0.88 2.54 0.75 1.37 19 0-2 1.50 08 86. 59. 41-60 38-73 62-87 6.76 1.72 33-1 30. 9. 5. 51-9 143.16. 4-19 16-57 47-62 9.98 3.06 1.33 0.00 30 o-o 0.12 21 93. 54. 45-62 45-51 60-11 14.64 1.57 13-1 April 1. 10.47.41-0 173. 11.42-59 53-24 49-35 12.65 2.68 2.71 0.28 49 o-o 0.00 30 94. 57. 29-02 21-09 67-93 15.86 1.14 8-9 2.11.37.44-4 187.57.41-39 45-96 55-43 13.48 2.43 3.52 0.58 53 o-o 0.03 35 94. 58. 65-90 59-39 66-51 15.91 0.91 7-8 4.13.21.54-3 216.36.69-64 59-07 60-57 13.99 1.90 5.23 1.21 49 o-o 0.26 43 94. 0. 19-69 20-50 59-19 14.94 0.49 7-9 5. 14. 14. 14-2 230.21.20-74 16-51 64-23 13.06 1.66 5.97 1.43 41 o-i 0.45 46 93. 17. 56-13 53-63 62-50 14.04 0.33 8-9 6.15. 7. 2-3 243. 40. 59-47 57-64 61-83 12.98 1.44 6.63 1.52 31 o-i 0.68 49 92. 19. 42-29 44-41 57-88 12.95 0.21 10-5 26. 7. 1. 7-1 138.24.50-29 63-90 46-39 8.96 3.13 0.33 0.40 10 2-0 1. 13 08 93. 50. 52-10 55-15 56-95 14.42 1.61 29-0 29. 9. 29. 48-3 182. 4.37-49 54-35 43-14 13.01 2.59 1.63 0.02 35 2-5 0.39 15 95. 6. 43-75 21-75 82-00 15.93 0.98 18-7 May 6.15.31.46-8 276. 25. 46-00 44-91 61-15 10.29 1.08 6.87 1.51 26 38 0.30 44 89. 19. 11-74 12-15 59-59 9.63 0.10 7-6 7. 16.20. 14-5 288. 48. 27-94 26-89 61-05 8.85 1.00 7.34 1.39 17 4-0 0.61 47 88. 13. 56-90 56-80 60-10 8.42 0.15 8-2 23. 4.57.43-3 133. 57. 32-41 33-49 58-92 7.88 3.17 0.42 1.16 11 7-8 2.38 14 93. 44. 34-46 31-43 63-03 14.21 1.64 39-7 25. 6.38.42-5 163. 13. 17-66 23-81 53-85 11.13 2.94 0.26 0.55 08 8-3 1.90 09 95. 3.29-77 26-50 63-27 15.70 1.25 36-7 26. 7. 26. 52-9 177.32.40-79 52-56 48-23 12. 40 2.73 0.44 0.27 12 8-8 1.62 08 95.14.31-56 23-09 68-47 15.93 1.03 34-3 27. 8.14.55-1 191. 38. 58-70 74-54 44-10 13.32 2.49 0.81 0.07 20 9-1 1.34 08 95. 6.18-12 6-49 71-63 15.81 0.81 31-6 29. 9.53.46-8 219. 10. 47-98 63-73 44-25 14.01 1.97 1.98 0.07 40 9-6 0.79 10 93.58.25-12 13-20 71-92 14.61 0.43 25-2 30. 10. 45. 15-7 232. 35. 34-30 46-67 47-63 13.77 1.72 2.71 0.27 48 9-9 0.55 13 93. 3.67-70 58-09 69-61 13.64 0.28 21-9 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. e > 1.42 Sub. 30 Sub. 60-00 Sub. 10.2i Sub. 1. 00 Sub. 23-7 2. 00 4.00 [208] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. ft. * If Cbange forfle-1 1 in Argument. Parallactic Inequality. Variation. Change for -1 1 in Argument. -B 11 < S Erection. Change for Os- 1 I in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P. D. Excess of Ob- served Ecliptic N. P. D. Effect of Mean Inclination. Change for 0-J I in Argument. ! i 8 : %z aw 1806. * * o i n ti it g * * \\ \ \\ * \ 1 O 1 It ' it a ' \ \\ i May 31.11.37.42-0 245. 45. 45-97 58-20 47-77 13. 18 1.49 3.52 0.56 53 10-1 0.34 16 92. 0.53-52 44-67 68-85 12.50 0.17 18-9 June 4.15. 0.35-0 296. 13. 20-62 23-04 57-58 8.28 0.99 6.58 1.51 32 11-5 0.01 32 87.31. 2-71 4-05 58-66 7.60 0.20 9-7 5.15.45.20-7 308. 26. 34-67 31-59 63-08 6.74 0.97 7.12 1.47 22 11-8 0.07 37 86. 35. 13-06 12-46 60-60 6.58 0.31 8-5 6. 16. 28. 10-2 320. 37. 49-77 42-67 67-10 5.23 1.00 7.51 1.30 14 12-1 0.18 41 85. 48. 42-82 45-51 57-31 5.72 0.44 7-7 9. 18. 32. 59-2 357. 50. 57-21 58-47 58-74 1.43 1.37 7.64 0.42 10 13-0 0.81 50 84. 42. 67-52 57-70 69-82 4.50 0.99 8-5 11. 20. 3. 14-5 24. 5.53-21 55-21 58-00 0.15 1.80 6.87 0.06 26 13-9 1.38 53 85. 14. 31-04 28-85 62-19 5.05 1.39 11-7 12. 20. 53. 40-0 37. 52. 36-31 43-19 53-12 0.04 2.05 6.27 0.08 36 14-2 1.67 52 85. 55. 43-64 30-33 73-31 5.78 1.57 14-1 19. 2.49.24-9 128. 16. 6-35 963 56-72 6.80 3.18 1.69 1.45 34 16-4 2.82 33 93. 24. 46-58 31-18 75-40 13.89 1.69 34-5 27. 9.32.38-6 241. 23. 27-59 36-51 51-08 13.59 1.63 1.59 0.01 35 19-2 1.55 08 92. 23. 48-36 40-93 67-43 12.77 0.19 34-7 28. 10. 24. 35-4 254. 14. 52-85 59-81 53-04 12.87 1.42 2.28 0. 15 44 19-5 1.26 08 91.17. 6-35 1-02 65-33 11.55 0.12 32-2 30.12. 6. 6-0 279.24. 8-59 21-59 47-00 10.61 1.11 3.88 0.72 54 20-2 0.72 11 88. 58. 40-71 41-27 59-44 9.05 0.12 26-5 30.12. 8.18-6 279. 25. 13-30 28-01 45-29 10.61 1.11 3.88 0.72 54 20-2 0.72 11 88. 58. 38-66 35-25 63-41 9.05 0. 12 26-5 July 1.12.56.13-9 291. 46. 37-98 47-41 50-57 9.21 1.02 4.71 1.04 52 20-5 0.49 13 87. 53. 27-76 25-50 62-26 7.87 0.18 23-7 7.17.11.20-1 5. 35. 39-75 33-46 66-29 1.09 1.44 7.76 0.89 07 22-7 0.09 38 84. 46. 46-39 49-78 56-61 4.56 1.13 9-4 9.18.42.51-0 31.41.46-46 45-86 60-60 0.06 1.89 7.51 0.30 13 23-3 0.40 46 85. 36. 40-01 43-09 56-92 5.50 1.51 7-5 21. 4.57.47-0 196. 43. 55-79 55-10 60-69 13.13 2.55 0.42 1. 17 12 27-4 2.83 32 94. 56. 60-68 45-20 65-48 15.58 0.69 35-2 26. 9.12.26-1 262. 54. 35-55 25-79 69-76 12.51 1.35 1.29 0.00 29 28-9 2.27 12 90.27.34-91 27-92 66-99 10.56 0.10 39-7 31. 13. 6. 0-2 324.21.20-07 22-03 58-04 5.59 0.99 5.11 1.18 50 30-6 0.92 09 85.41.16-07 19-59 56-48 5.34 0.53 31-3 Aug. I. 13. 47. 17-9 336.35. 0-50 0-51 59-99 4.13 1.06 3.87 1.41 42 30-9 0.66 11 85. 11.24-12 26-47 57-65 4.82 0.70 28-7 2.14.28.13-0 348.53. 7-06 5-94 61-12 2.80 1.17 6.54 1.51 33 31-2 0.44 14 84.54.42-16 42-76 59-40 4.54 0.89 26-0 3. 15. 9. 36-9 1. 18.39-68 35-88 63-80 1.67 1.32 7.09 1.48 23 31-5 0.25 17 84.52. 5-17 7-08 58-09 4.52 1.09 22-9 4. 15. 52. 25-1 13. 54. 62-07 59-31 62-76 0.80 1.51 7.47 1.32 14 32-0 0. 11 21 85. 4.11-08 16-56 54-52 4.78 1.28 19-9 7. 18. 18. 16-9 53.31. 3-20 7-96 55-24 0.21 2.26 7.65 0.44 10 32-8 0.03 35 87. 8.50-40 50-69 59-71 7.17 1.76 11-8 8. 19. 14. 33-7 67.33. 6-90 6-65 60-25 0.79 2.52 7.34 0.20 16 33-1 0.12 39 88. 16. 29-55 25-87 63-68 8.43 1.86 9-8 9. 20. 14. 5-9 82. 5. 1-82 1-15 (50-67 1.76 2.76 6.87 0.07 25 33-3 0.26 43 89. 32. 69-00 52-81 76-19 9.87 1.90 8-3 18. 3.40.16-8 205. 11. 30-26 38-23 52-03 13.42 2.46 1.05 1.44 24 35-5 2.34 47 94. 28. 16-72 8-80 67-92 15.17 0.55 22-9 20. 5.24. 18-0 232. 52. 44-02 43-64 60-38 14.00 1.93 0.33 1.05 09 36-2 2.69 40 92. 48. 78-53 58-67 79-86 13.26 0.24 29-5 21. 6.16.39-4 246. 2.23-65 20-89 62-76 13.71 1.68 0.22 0.74 07 36-4 2.79 35 91. 46. 24-68 17-35 67-33 12.07 0. 15 32-2 22. 7. 8.32-9 258.50.49-10 41-88 67-22 13.06 1.46 0.30 0.43 09 36-6 2.83 31 90. 39. 60-30 51-67 68-63 10.82 0. 10 34-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o"-00 7.02 \ \\ 2.00 4. 00 0.76 \\ 30 20-8 8 \ 1.42 30 60-00 f * 10.21 1.00 23-7 ' SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [209] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. 1 Excess of Observed Longitude. |M U *J :n Z3 O* W i i Change for OS- 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. Annual Equation. Evection. Change for OS- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. Change for Os- 1 in Argument. Evection in E.N.P.D. 1806. " " " ' o / // a ii g \ \\ V e \\ i g % ' II II s > Aug. 24. 8.48. 11-5 283.43.61-04 49-31 71-73 10. 93 1.14 0.97 0.03 24 37-0 2.74 22 88. 28. 27-02 26-93 60-09 8.35 0.15 38-2 26. 10. 19. 48-8 308. 9. 45-51 28-93 76-57 8. 08 0.98 2.23 0.14 44 37-4 2.43 15 86. 36. 48-98 45-64 63-34 6.27 0.35 39-9 27.11. 2.49-9 320. 21.34-7C 17-38 77-32 "6.54 0.97 3.00 0.38 51 37-8 2.21 12 85.54. 3-30 1-02 62-28 5.49 0.50 40-0 30. 13. 9. 18-0 357. 23. 20-60 6-50 74-10 2.35 1.22 5.45 1.29 47 38-3 1.40 08 84. 58. 48-05 57-88 50-17 4.50 1.05 37-2 31.13.51.45-3 9. 57. 67-08 53-36 73-23 1.30 1.39 6. 17 1.47 38 38-5 1.12 08 85. 8.30-68 36-70 53-98 4.70 1.24 35-2 Sep. 1. 14. 36. 3-3 22. 43. 17-31 6-70 70-61 0.54 1.60 6.79 1.51 28 38-7 0.85 10 85. 32. 47-62 49-97 57-65 5.18 1.43 32-9 3.16. 13. 4-1 48.55. 0-36 1-30 59-00 0.05 2.09 7.61 1.20 11 39-0 0.39 15 87. 2.27-99 29-08 58-91 6.91 1.73 27-3 5.18. 3. 4-6 76. 22. 56-89 57-99 58-90 1.11 2.61 7.74 0.59 08 39-4 0.09 22 89.15.54-4 66-35 58-06 9.44 1.89 20-7 7.20. 0.37-1 105. 27. 42-34 41-45 60-89 3.62 3.02 7.16 0.12 21 39-7 0.00 31 91. 47. 22-92 24-78 58-14 12.31 1.84 14-1 21. 7.31.18-7 291.43. 13-59 1-55 72-04 10.43 1.09 0.40 0.30 12 41-2 2.73 39 87. 36. 49-02 37'34 71-68 7.49 0.21 27-8 22. 8. 16.48-7 303. 56. 6-80 4-43 62-37 9. 00 1.01 0.75 0.09 19 41-3 2.81 34 86. 43. 44-07 35-21 68-86 6.48 0.32 30-4 24. 9. 42. 34-6 328. 20. 54-74 47-96 66-78 5.96 0.98 1.88 0.05 39 41-4 2.80 25 85. 26. 60-75 56-00 64-75 5.02 0.63 35-2 25.10.24. 5-7 340. 40. 38-66 25-05 73-61 4.48 1.04 2.60 0.23 47 41-4 2.71 21 85. 6.36-03 34-25 61-78 4.63 0.81 37-0 2G. 11. 5.41-4 353. 8.44-15 28-74 75-41 3.11 1.14 3.41 0.51 53 41-5 2.57 17 84. 59. 58-23 56-29 61-94 4.50 1.09 38-6 27.11.48. 9-9 27.11.50.14-3 5. 46. 60-02 6. 47. 59-66 42-33 46-44 77-69 73-22 1.92 1.92 1.28 1.28 4.24 4.24 0.84 0.84 54 54 41-5 41-5 2.38 2.38 14 14 85. 7.52-92 85. 7.52-26 50-73 52-05 62-19 60-21 4.64 4.64 1.20 1.20 39-5 39-6 30. 14. 10. 27-6 44. 52. 62-57 47-52 75-05 0.04 1.93 6.49 1.51 33 41-6 1.62 08 86.57.46-21 49-92 56-29 6.70 1.71 39-1 Oct. 1. 15. 2. 58-0 58. 20. 34-94 27-10 67-84 0. 13 2.19 7.06 1.49 23 41-6 1.33 08 87.59. 5-69 5-12 60-57 7.85 1.82 37-7 4. 17. 52. 24-2 100. 15. 55-59 53-63 62-06 2.72 2.92 7.77 0.76 07 41-6 0.54 13 91. 36. 35-08 33-25 61-83 11.95 1.86 30-4 5.18.49. 2-6 114.48.31-32 28-17 63-15 4.22 3.07 7.65 0.45 10 41-6 0.33 16 92. 45. 53-95 55-71 58-24 13.28 1.76 27-0 15. 2.49.30-0 248. 3.45-51 44-58 60-93 13.81 1.74 1.68 1.45 35 41-1 0.84 51 91. 7. 14-90 12-86 62-04 11.60 0.13 7-8 17. 4.35.25-1 274. 16. 26-96 24-59 62-37 12.38 1.32 0.63 1.31 16 41-0 1.41 53 88. 47. 68-90 55-02 73-88 8.99 0.12 10-4 18. 5.24.49-5 286. 51. 30-56 28-89 61-67 11.23 1.17 0.34 1.06 10 40-9 1.70 52 87. 44. 38-00 28-86 69-14 7.79 0.18 12-2 19. 6.11.34-2 299. 12. 60-10 56-52 63-58 9.91 1.06 0.23 0.76 07 40-8 1.9S 51 86. 48. 38-74 33-23 65-51 6.73 0.29 14-6 21. 7.38.34-6 323. 38. 44-54 48-60 55-94 6.91 0.97 0.53 0.19 15 40-5 2.45 45 85. 26. 39-77 27-49 72-28 5.17 0.58 19-7 23. 9. 1.39-6 348.18. 1-56 4-80 56-76 3.95 1.07 1.50 0.01 33 40-3 2.75 38 84. 53. 39-46 41-36 58-10 4.51 0.95 25-5 24. 9.43.51-1 0. 53. 37-59 31-49 56-10 2.63 1. 19 2.18 0. 12 43 40-2 2.82 33 84. 58. 35-85 39-69 56-16 4.57 1.15 28-5 25.10.27.38-0 13. 43. 20-60 17-49 68-11 1.54 1.35 2.94 0.35 50 40-0 2.83 28 85. 18. 44-60 45-11 59-49 4.92 1.34 31-3 26.11. 13.49-0 26. 48. 59-77 48-77 71-00 0.70 1.54 3.76 0.66 54 39-9 2.78 24 85. 53. 54-76 53-34 61-42 5.65 1.5-2 33-9 Sub. 60-00 Sub. If \ 7.02 Sub. Sub. Sub. f \ 0.76 Sub. 30 Sub. 20-8 Sub. X \ 1.42 Sub. \v 30 Sub. 60-00 Sub. g \ 10.21 Sub. Loo Sub. 23-7 2.00 4.00 GREENWICH LUNAR REDUCTIONS. HE] [210] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. . Us !' Excess of Observed Longitude. If 1 Change forO?-l 1 in Argument. Parallactic Inequality. Variation. 1 Change for 0s- 1 I in Argument. Annual Equation. Evection. 1 Change for fls- 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. seconds ot Tabular Ecliptic 1 N.P.D. 3 "a. 11* Effect of Mean Inclination. Change for 0=" I I in Argument. Evection in E. N. P. IX 1806. H h m , o / " n " e % > vv > g " IA * e * O ' /' II " r , , > Oct. 27.12. 5.14-5 40.11.42-26 39-80 62-46 0.18 1.77 4.59 1.00 53 39-8 2.68 20 86. 43. 16-84 14-54 62-30 6.44 1.68 36-1 Nov. 6.21. 4. 7-2 183.58. 3-66 13-10 50-56 11.49 2.89 6.63 0.05 30 37-8 0.28 17 95. 0. 59-00 71-78 47-22 15.78 0.80 25-8 17. 5.33.10-0 318. 36. 47-07 35-90 71-17 7.87 0.98 0.26 0.93 08 35-5 1.19 52 85.29. 5-64 8-39 57-25 5.34 0.53 8-1 20. 7.37.37-5 355. 28. 55-76 54-46 61-30 3.44 1.11 0.72 0.10 18 34-5 2.04 50 84. 46. 59-95 61-41 58-54: 4.521 1.09 1-2-6 21. 8.20.19-0 8. 6.52-20 50-67 61-53 2.19 1.24 1.21 0.00 28 34-3 2.29 48 85. 2. 1-05 0-51 60-54 4.78 1.28 15-0 22. 9. 5.13-7 21. 2.35-95 31-52 64-43 1.18 1.42 1.83 0.04 38 34-0 2.50 45 85. 32. 16-07 17-80 58-27 5.31 1.46 17-7 23. 9.53.12-5 34. 18. 54-38 51-29 63-09 0.46 1.63 2.55 0.22 47 33-8 2.66 41 86. 17. 29-50 34-25 55-25 6. 12 1.03 20-7 29.15.35. 1-0 120. 22. 28-73 27-83 60-90 3.85 3.04 7.02 1.49 24 31-9 2.47 15 93.29.24-15 23-78 60-37 13.95 1.68 38-2 Dec. 4. 19. 49. 47'9 193.35.17-04 13-57 63-47 11.98 2.81 7.39 0.22 16 30-4 1.17 08 94. 48. 36-59 34-01 62-58 15.43 0.63 36-9 15. 4. 9.59-3 325. 45. 58-73 47-42 71-31 7.29 0.97 0.66 1.32 16 26-7 0.28 43 85. 8.35-43 30-90 64-53 4.95 0.65 10-1 19. 6.56.29-7 15. 7.31-37 30-53 60-84 1.79 1.30 0.51 0.21 14 25-4 1.26 52 85.15. 3-33 0-61 62-72 5.10 1.40 7-6 21. 8.31. 16-4 41. 17. 66-57 59-39 67-18 0.28 1.71 1.46 0.00 32 24-4 1.84 52 86. 45. 35-05 32-86 62-19 6.75 1.72 9-6 22. 9.24.23-5 55. 1.54-91 48-60 66-31 0.03 1.96 2.13 0.11 42 24-1 2.11 50 87. 50. 35-47 35-99 59-48 7.94 1.83 11-5 24.11.21. 1-4 83. 51. 57-05 57-01 60-04 0.72 2.49 3.70 0.65 54 23-5 2.55 44 90. 26. 26-23 22-84 63-39 10.77 1.90 17-0 25.12.24. 4-4 98. 53. 13-86 16-23 57-63 1.65 2.74 4.53 0.98 53 23-1 2.70 40 91.47.19-37 18-82 60-55 12.23 1.84 20-7 26. 13. 23. 37-4 114. 7.23-09 22-01 61-08 2.92 2.94 5.40 1.27 48 22-8 2.80 35 93. 1.45-55 42-44 63-11 13.57 1.73 24-2 27. 14. 20. 47-2 129.27. 863 6-40 62-23 4.46 3.09 6. 12 1.46 39 22-5 2.83 31 94. 3.31-01 28-6 62-40 14.68 1.56 29-0 29. 16. 7. 11-9 159. 51. 17-78 18-92 58-86 7.94 3.17 7.25 1.43 19 21-5 2.73 22 95. 11. 26-70 25-46 61-24 15.87 1.13 34-5 31. 17. 47. 36-6 189.18.14-80 1324 61-5C 11.17 2.91 7.75 0.94 08 20-8 2.41 14 94. 55. 47-76 43-6 64-09 15.54 0.67 38-7 1807. Jan. 17. 6.20.47-4 35.14.11-47 1-85 69-62 0.62 1.57 0.37 0.34 11 14-9 0.53 48 86. 26. 52-34 52-6 59-74 6.39 1.67 9-7 20. 9. 1.25-4 76.10. 8-71 0-03 68-68 0.33 2.33 1.78 0.04 37 13-9 1.34 53 89. 47. 51-9G 49-1 62-87 10.14 1.90 7-5 21.10. 1. 9-9 90.50.60-81 55-77 65-04 1.02 2.59 2.49 0.20 46 13-3 1.63 52 91. 6.54-37 54-81 59-56 11.60 1.87 8-1 23.12. 1.13-9 121.33. 7-19 13-66 53-53 3.47 3.01 4.12 0.81 54 12-7 2.18 49 93. 31. 35-20 38-50 56-70 14.25 1.64 11-8 24.13. 1. 6-4 137. 19. 13-48 15-57 57-91 5.09 3.13 4.94 1.13 51 12-4 2.41 46 94. 24. 28-10 26-38 61-72 15.20 1.44 14-8 25. 13. 56. 16-3 153. 4.37-56 32-03 65-53 6.84 3.18 5.72 1.37 44 12-1 2.60 42 94. 57. 13-86 7-26 66-60 15.78 1.21 ' 18-2 Feb. 14. 5. 3. 5-7 43. 9.47-07 40-52 66-55 0.39 1.66 0.24 0.81 07 6-1 0.01 33 87. 14. 14-84 10-22 64-62 7.14 1.76 20-7 15. 5.53.28-4 56. 12. 23-04 14-99 68-05 0.06 1.90 0.27 0.50 08 5-9 0.08 37 88. 16. 5-39 0-60 64-79 8.31 1.85 17-7 19. 9. 40. 56-6 113. 7.40-95 43-11 57-84 2.57 2.89 2.08 0. 10 42 5-0 0.85 51 93. 2. 17-56 22-29 55-27 13. 72 1.71 8-4 21. 11. 35. 44-8 144. 26. 36-88 47-20 49-69 5.73 3.16 3.70 0.63 54 4-4 1.42 53 94. 40. 29-26 23-44 65-82 15.57 1.32 7-6 Sub. Snb. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. SuL 60-00 7*. 02 2. 00 4.00 6.76 30 20-8 1.42 \\ 30 60-00 10.21 i.oo 23- 1 !, SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [211] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation || :& < = t/3 u_ J Excess of Observed Longitude. .2$ if! *> Change for OS- 1 in Argument. 3& .! ~s g. = Variation. Change for 0?-l| in Argument. Annual Equation. Evection. Change for Oe-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. .a .2 'a. sag 8-g* S g?. 31 Effect of Mean Inclination. | Change for 06-1 in Argument. |e .2cu o ,' g* '' 1807- d h ' O ' tf ff tr a " V \\ \ u g ' i g " u O ' " ff // g ^ \ \\ > Feb. 22. 12. 33. 24'0 160. 25. 49-98 55-89 54-09 7.50 3.18 4.53 0.96 53 4-2 1.71 52 94. 59. 28-89 27-61 61-28 15.91 1.07 8-5 23. 13. 27. 44-9 176. 18.49-90 48-80 61-10 9.24 3.11 5.34 1.25 48 4-0 1.99 51 94.55.20-16 18-88 61-28 15.82 0.82 10-4 26. 16. 10. 27-6 221.44.33-83 33-76 60-07 13.15 2.55 7.22 1.44 20 3-4 2.64 41 92.46. 5-96 2-26 63-70 13.35 0.25 19-2 28. 17. 59. 37-7 249.29.6-2-77 52-90 59-87 14.01 2.02 7. 15 0.95 08 2-9 2.82 33 90.28.60-10 59-49 60-61 10.74 0.10 25-8 Mar. 12. 2. 14. 27'7 26. 27. 8-41 6-99 61-42 1.64 1.33 1.46 1.46 32 1-2 0.70 11 86. 20. 29-06 25-38 63-68 5.97 1.60 37-6 13. 3. 0.29-1 39. 2. 12-91 21-61 51-30 0. 78 1.52 0.90 1.42 22 11 0.47 14 87. 10. 42-37 34-01 68-36 6.92 1.74 35-8 17. 6.30.16-2 92. 5.31-45 21-04 70-41 0.81 2.52 0.35 0.36 10 0-6 0.00 29 91.38.54-17 56-10 58-07 12.00 1.86 24-7 18. 7.26.40-8 106.20.66-55 52-59 73-96 1.79 2.76 0.66 0.13 17 0-5 0.02 34 92. 46. 28-48 29-30 59-18 13.29 1.76 21-2 19. 8.22.55-9 121. 5.28-36 18-45 69-91 3.10 2.96 1.13 0.01 27 0-5 0.10 38 93. 45. 19-94 17-57 62-37 14.42 1.61 17-7 20. 9. 18. 29-0 136. 17.15-37 11-68 63-69 4.67 3.11 1.73 0.03 37 0-4 0.24 43 94. 30. 12-91 7-84 65-07 15.29 1.41 14-6 21. 10. 13. 15-0 151.51.24-54 22-93 61-61 6.39 3.17 2.44 0. 19 46 0-3 0.43 46 94. 56. 39-60 16-04 83-56 15.81 1.18 11-7 22.11. 7.34-9 167.39. 11-55 14-88 56-67 8.16 3.16 3.23 0.46 52 0-3 0.66 49 95. 0.35-49 25-15 70-34 15.92 0.94 9'3 23. 12. 2. 0-7 183. 29. 11-28 14-48 56-80 9.85 3.07 4.06 0.79 64 0-2 0.92 51 94.41.48-28 40-52 67-76 15.59 0.69 7-9 23.12. 4.20-1 183.30.41-05 42-42 58-63 9.85 3.07 4.06 0.79 54 0-2 0.92 51 94. 41. 44-71 37-86 66-85 15.59 0.69 7-9 24. 12. 59. 24-9 199. 10. 46-32 47-33 58-99 11.36 2.91 4.88 1.11 51 o-i 1.21 52 94. 1.50-08 48-26 61-82 14.87 0.48 7-4 29. 17. 37. 52-2 270. 48. 53-53 55-76 57-77 13.69 1.68 7.69 1.11 10 o-o 2.52 44 88. 21. 16-06 19-26 56-80 8.49 0.14 15-6 April 12. 3. 30. 37'3 74. 8.47-45 51-64 55-81 0.06 2. 10 0.72 1.35 18 0-4 0.89 10 90. 18. 37-98 39-36 58-62 10.38 1.90 39-4 14. 5. 20. 10-7 101.30.47-71 52-10 55-61 1.14 2. 62 0.24 0.82 07 0-5 0.41 14 92. 38. 35-49 34-17 61-32 12. 00 1.79 36-3 17. 8. 1.36-6 145. 5.33-82 34'85 58-97 5.31 3. 14 0.87 0.05 21 0-9 0.02 26 94.57.45-18 43-68 61-50 15.68 1.26 27-5 18. 8.54. 6-9 160. 16. 19-15 20-43 58-72 7.06 3.18 1.41 0.00 31 1-0 0.00 31 95. 8.60-05 55-39 64-66 15.93 1.03 23-7 19. 9.46.49-8 175.39.49-13 49-97 59-16 8.80 3.14 2.08 0.09 41 1-1 0.04 35 94. 58. 28-31 15-20 73-11 15.78 0.79 19-9 21. 11.35.34-9 206. 32. 24-74 17-26 67-48 11.84 2.84 3.64 0.61 53 1-3 0.29 44 93. 34. 33-66 23-55 70-11 14.30 0.37 13-3 25. 15. 25. 59-6 264. 49. 55-60 58-51 57-09 13. 92 1.83 6.67 1.52 30 1-9 1.29 53 88. 40. 46-71 50-71 56-00 8.93 0.12 7-4 26. 16. 19. 30-6 278.15.48-14 43-52 64-62 13.48 1.59 7.19 1.45 20 2-0 1.58 52 87. 32. 41-08 44-75 56-33 7.66 0.19 7-7 May 2. 20. 46. 12'8 353. 4. 17-90 21-23 56-67 5.92 0.98 6.75 0.06 28 3-1 2.80 35 84. 55. 29-23 25-10 64-13 4.61 1.18 19-2 15. 6.48. 2-1 154. 55. 24-42 34-38 50-04 5.96 3.16 0.34 0.37 10 5-6 0.57 12 95. 14. 37-34 34-07 63-27 15.90 1. 09 37-9 17. 8.30.18-3 184.45.12-02 24-21 47-81 9.44 3.10 1.09 0.01 26 6-1 0.19 19 94. 46. 29-46 22-85 6661 15.44 0.63 32-9 18. 9.23. 4-0 199.45. 4-98 14-54 50-44 11.00 2.90 1.68 0.03 36 6-6 0.07 23 94. 2.25-90 15-06 70-84 14.65 0.43 29-7 20. 11. 14. 6-4 229. 28. 12-29 14-44 57-85 13.25 2.51 3. 17 0.44 52 7-0 0.01 32 91. 49. 50-25 43-39 6(5-86 12.27 0.16 22-4 Sub. eo'-'oo Sub. e \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. E \ 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. V W 1.00 Sub. 23-7 2.00 4.00 2 [E] 2 [212] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. . J-1 53 f i i Change for 0-1 1 in Argument. Parallactic Inequality. Variation. Change for 05- 11 in Argument. Annual Equation. Evection. 1 Change for Os-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. ! "tc *aS 11* w g Effect of Mean Inclination. Change for 08-1 1 in Argument. Evection in j E. N. P. D. | 1807. d h m s May 21. 12. 13. 59-5 O t II 244. 1. 8-28 // 8-75 // 59-53 g v 13.83 g * 0.77 54 7-3 g > 0.06 \\ 37 O ' /' 90. 31. 35-61 n 31-42 ft 64-19 i - 10.86 X \\ 0.10 V 19-2 2.25 4.06 22.13.11.15-1 258.12.41-31 43"26 58-05 14.01 1.98 4.88 1.09 5L 7-5 0. 17 41 89.13.11-12 9-65 61-47 9.43 0.11 15-9 24. 14. 59. 30-2 285.26.12-34 14-16 58-18 13.23 1.51 6.36 1.50 35 8-0 0.55 48 86. 54. 45-42 49-75 55-67 6.92 0.26 11-0 June 14. 7. 17. 32-2 194. 40. 41-17 51-43 49-74 10.06 3.05 0.46 0.25 13 14-5 1.01 09 94. 19. 34-73 27-13 67-60 14.88 0.48 39-8 15. 8.10. 1-4 209. 16. 21-54 33-83 47-71 11.53 2.89 0.84 0.06 21 14-8 0.75 11 93. 25. 40-57 29-82 70-75 13.89 0.31 38-9 16. 9. 4.17-0 223. 44. 34-29 47-19 47-10 12.70 2.67 1.37 0.00 31 15-1 0.51 13 92. 18. 57-84 57-30 60-54 12.67 0.19 37-2 18. 10. 56. 35-7 252. 8.36-08 47-90 48-18 13.95 2.15 2.77 0.29 49 16-0 0.15 20 89. 46. 57-54 51-94 65-60 9.90 0. 10 32-2 19.11.52.29-1 265. 59. 8-41 18-51 49-90 13.98 1.89 3.58 0.59 53 16-4 0.05 24 88. 31. 43-62 41-98 61-64 8.54 0.14 29-2 19.11.54.48-6 266. 0.23-80 35-27 48-53 13.98 1.89 3.58 0.59 53 16-4 0.05 24 88.31.37-01 35-21 61-80 8.53 0.14 29-2 21. 13. 39. 49-6 292.48.40-81 46-06 54-75 12. 93 1.43 5.23 1.23 40 17-0 0.01 33 86. 24. 42-37 44-03 58-34 6.24 0.35 22-9 22. 14. 27. 50-0 305. 45. 50- 14 52-77 57-37 11.94 1.26 5.97 1.44 41 17-3 0.09 38 85. 38. 47-05 53-04 54-01 5.42 0.51 19-9 24. 15. 56. 0-2 330. 54. 38-39 36-17 62-22 9.32 1.02 7.16 1.46 21 17-9 0.39 46 84. 49. 27-95 30-38 57-57 4.55 0.88 14-6 26.17.18.42-9 355. 26. 68-47 58-50 59-97 6.30 0.98 7.74 1.00 08 18-9 0.87 51 84. 58. 6-06 2-02 64-04 4.74 1.26 10-4 28.18.43. 9-8 20. 1.56-58 63-56 53-02 3.40 1.11 7.61 0.39 11 19-5 1.43 53 86. 1.10-74 11-81 58-93 5.93 1.60 8-0 July 8. 2.40.16-5 145. 23. 58-84 49-81 69-03 3.89 3.05 1.55 1.46 33 22-7 2.77 23 95. 1.43-54 36-24 67-30 15.80 1.19 24-2 9. 3.32.28-3 160. 29. 27-02 16-54 70-48 5.55 3.15 0.97 1.43 23 23-0 2.66 19 95. 10. 58-62 28-54 90-08 15.93 0.96 27-8 12. 6. 6.53-4 204. 53. 49-09 48-60 60-49 10.65 3.00 0.22 0.69 07 24-3 2.05 10 93. 36. 57-76 50-13 67-63 14.11 0.34 36-7 13. 7. 0. 0-3 219.15.69-16 57-47 61-69 12. 02 2.81 0.33 0.39 10 24-6 1.78 09 92. 34. 57-96 46-55 71-41 12.94 0.21 38-4 17. 10. 38. 37-2 274. 25. 52-05 62-77 49-28 13.89 1.79 2.38 0.17 45 25-9 0.68 11 87. 47. 38-40 35-75 62-65 7.61 0.20 38-9 18. 11.30.19-0 287.39. 7-88 16-72 51-16 13.40 1.56 3.17 0.43 52 26-5 0.45 14 86. 47. 16-91 27-23 49-68 6.52 0.31 37-3 21. 13. 51. 38-0 326. 0. 4-57 15-58 48-99 10.21 1.08 5.62 1.34 45 27-4 0.03 25 85. 0.57-39 5996 57-43 4.61 0.83 30-6 24. 15.56.23-1 2. 52. 31-88 33-90 57-98 5.72 0.99 7.37 1.39 17 28-3 0.11 39 85.21.24-96 21-76 63-20 5.06 1.39 22-2 25.16.38.21-5 15. 5! 20-31 20-51 59-80 4.26 1.05 7.64 1.16 10 28-6 0.25 43 85. 54. 40-09 40-74 59-35 5.71 1.55 19-4 27.18. 7.50-3 39.53.31-09 38-28 52-81 1.76 1.31 7.72 0.54 09 29-5 0.67 49 87. 34. 42-05 41-74 60-31 7.61 1.80 14-1 Aug. 9. 4.56.11-3 214. 48. 32-98 33-09 59-89 11.21 2.93 0.40 1.15 11 33-1 2.75 22 92. 42. 65-74 53-30 72-44 13.20 0.23 25-5 12. 7.40.39-4 256. 48. 67-38 59-34 68-04 13.88 2.21 0.44 0.26 13 34-1 2.23 12 89. 8.57-94 50-91 67-03 9.15 0.11 34-5 14. 9.26. 5-7 283. 19.27-72 29-33 58-39 13.74 1.70 1.33 0.00 30 34-6 1.70 08 87. 0.57-06 51-59 65-47 6.74 0.29 38-3 15. 10. 15. 23-2 296. 14. 13-49 19-77 53-72 13.13 1.48 1.98 0.08 40 34-8 1.42 08 86. 11. 13-10 8-98 64-12 5.81 0.43 39-4 16. 11. 2. 9-1 308.57.53-14 56-58 56-56 12.21 1.29 2.71 0.28 48 35-0 1.14 03 85. 33. 47-04 45-34 61-70 5.01 0.60 39-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.2i 1. 00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [213] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. IK w * J !} Change for 08- 1 in Argument. Parallactic Inequality. Variation. Change for Os- 1 1 in Argument. Annual Equation. Evection. Change for Os-) 1 in Argument. Ecliptic N.P.D. of Woon's Center from Observation. seconds of Tabular Ecliptic N. P. D. =i 5*2 0|z 3* Effect of Mean Inclination. Change for Os- 1 in Argument. -Q j>&: |z WW 1807. d '' " *Aug. 17.11.46.38-9 Oil! 321.31.45-91 46-55 // 59-36 r v 11.03 \ \\ 1. 15 \ 3.52 0.57 / II 85. 9.52-81 54-10 f 58-71 r * 4.67 * 0.78 39-9 53 35-3 0.86 10 18. 12.31.25-2 333.58. 8-19 10-48 57-71 9.68 1.04 4.36 0.91 53 35-7 0.61 12 85. 0. 1-98 10-48 51-50 4.50 0.97 39-4 19. 13. 13. 1-1 346. 16. 27-24 35-31 51-93 8.20 0.99 5.17 1.21 49 36-0 0.40 15 85. 4.32-25 35-22 57-03 4.59 1.16 38-2 21. 14. 35. 49-7 10. 40. 54-20 60-03 54-17 5.16 1.01 6.58 1.51 32 36-4 0.09 22 85. 53. 10-90 15-11 55-79 5.53 1.52 34-9 22. 15. 18. 30-5 22. 52. 55-07 59-75 55-32 3.72 1.09 7.12 1.47 22 36-6 0.02 26 86. 35. 16-15 19-01 57-14 6.33 1.66 32-7 24. 16. 49. 45-3 47. 37. 44-38 46-63 57-75 1.38 1.38 7.73 1.02 08 37-0 0.04 35 88.27.13-33 14-16 59-17 8.46 1.86 27-3 26.18.31.21-0 73.26.11-86 15-44 56-42 0.13 1.81 7.63 0.41 10 37-6 0.30 44 90.42.18-52 14-75 63-77 11.02 1.89 21-2 Sep. 6. 3.43.13-0 223. 54. 18-70 37-07 41-63 11.72 2.86 0.97 1.43 23 39-4 2.72 39 91. 45. 29-58 24-93 64-65 12.26 0.16 12-9 10. 7.23. 3-9 279. 19. 39-02 32-29 66-73 13.95 1.85 0.33 0.40 10 40-0 2.72 21 87. 5.43-03 40-86 62-17 6.95 0.26 25-2 12. 9. 0. 10-8 304. 58. 47-29 41-89 65-40 12.81 1.41 1.05 0.02 25 40-3 2.39 14 85.36. 8-01 8-52 59-49 5.23 0.56 31-1 13. 9.45. 2-0 317. 30. 19-76 13-65 66-11 11.79 1.23 1.63 0.02 35 40-4 2.16 11 85.10.50-81 53-49 57-32 4.74 0.74 33-7 16.11.51. 9-8 354. 25. 45-54 31-82 73-72 7.63 0.97 3.94 0.72 54 40-7 1.35 08 85. 18. 56-75 59-27 57-48 4.84 1.31 38-9 17. 12. 34. 40-5 6. 38. 42-97 37-94 65-03 6.09 0.98 4.76 1.05 52 40-8 1.07 09 85. 48. 23-47 27-79 55-68 5.39 1.48 39-7 18.13.17. 1-9 18. 50. 50-29 51-14 59-15 4.60 1.03 5.56 1.32 46 41-0 0.80 10 86. 29. 30-17 32-42 57-75 6.15 1.63 40-0 19.14. 0.50-9 31. 5.34-58 36-68 57-90 3.22 1.13 6.27 1.48 37 41-1 0.56 12 87.20.31-68 36-49 55-19 7.10 1.75 39-8 24. 18. 10.25-7 95. 7. 17-59 20-20 (57-39) 0.11 2.17 7.72 0.56 08 41-4 0.01 32 92. 44. 44-97 46-27 (5870) 13.19 1.77 31-3 25. 19. 4. 38-4 109. 0.43-51 44-51 59-00 0.57 2.43 7.49 0.29 13 41-4 0.06 37 93.41.51-77 50-73 61-04 14.28 1.63 28-3 Oct. 7. 5.17. 4-0 274. 39. 11-66 17-79 53-87 14.01 2.01 0.42 1.16 11 41-5 2.62 42 87. 12. 14-37 1-98 72-39 7.22 0.23 10-5 14. 10.31.25-7 2. 36. 45-75 34-44 71-31 7.04 0.97 2.66 0.26 48 41-2 2.34 13 85. 35. 58-22 58-31 59-91 5.25 1.45 29-2 15.11.13.34-0 14.49.61-84 49-60 72-24 5.52 0.99 3.46 0.55 53 41-1 2.10 11 86. 16. 0-56 1-16 59-40 5.97 1.60 31-8 17. 12. 44. 33-6 39. 29. 55-70 53-75 61-95 2.73 1.18 5.11 1.18 50 41-0 1.56 08 88. 6. 9-14 7-35 61-79 7.97 1.83 36-3 18. 13. 32. 3-7 51.59.44-86 45-36 59-50 1.62 1.33 5.87 1.41 42 40-9 1.28 08 89. 11.38-80 40-36 58-44 9. 17 1.89 38-0 19.14.21.37-6 64. 39. 28-54 29-24 59-30 0.75 1.53 6.54 1.51 32 40-7 1.00 09 90. 20. 38-39 36-10 62-23 10.43 1.90 39-1 20. 15. 12. 53-5 77.31.41-80 44-00 57-80 0.21 1.76 7.09 1.47 22 40-6 0.73 11 91.29.45-24 45-36 59-88 11.71 1.8 39-8 22. 16. 58. 0-0 104. 5.47-15 51-49 55-66 0.24 2.27 7.72 1.04 09 40-4 0.30 16 93. 34. 42-95 41-82 61-13 14.03 1.6 39-5 23. 17. 50. 36-2 117. 53. 58-80 60-16 58-64 0.84 2.53 7.77 0.72 07 40-3 0.15 20 94. 22. 57-44 60-3G 57-08 14.94 1.5 38-3 24. 18. 42. 48-8 132. 6.20-63 21-69 58-94 1.83 2.77 7.64 0.42 10 40-2 0.05 24 94. 56. 47-07 49-57 57-50 15. 58 1.3 36-4 Nov. 11. 9.10.50-8 10. 29. 42-50 43-45 59-05 6.47 0.97 1.59 0.01 34 37-0 2.83 28 85. 56. 55-60 57-41 58-19 5.78 1.5 15-9 12. 9.53.53-7 22. 45. 43-76 39-47 64-29 4.95 1.01 2.28 0.14 44 36-6 2.77 23 86. 45. 32-72 33-61 59-08 6.65 1.70 18-4 Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. 60-00 7. 02 2\ 00 4.00 o. 7r 30 20-8 g \ 1.42 30 6o"-00 t \ 10.21 t \\ 1.0 23-7 1807. Sep. 24. The observed Z. D. is marked in the Observations as not certain to 12". [214] REDACTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 1 "= j 8~z . U *^j o * Excess of Observed Longitude. II W g Change for O'-l 1 in Argument. Parallactic Inequality. Variation. Change for 0-1 in Argument. Annual Equation. Evection. Change for 0*' I in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. *'i ii* X * W Effect of Mean Inclination. I Change for 0^1 1 | in Argument. e C V \\ \ \\ g ' \ g v M ' " " tt g " > ' Nov. 14. 11.25. 57-5 47.41.53-74 48-63 65-11 2.29 1.23 3.88 0.70 54 36-2 2.49 16 88. 49. 18-40 17-60 60-80 8.88 1.88 24-2 20. 16. 38. 51-3 127.34. 5-32 4-83 60-49 1.18 2.63 7.63 1.19 11 34-5 0.92 09 94. 52. 25-98 26-18 59-79 15.47 1.35 38-9 21. 17. 29. 38-6 141. 44. 58-93 57-89 61-04 2.28 2.85 7.76 0.89 08 34-3 0.67 11 95. 13. 49-30 51-43 57-87 15.86 1.14 39-8 23. 19. 10. 37-9 170.55.10-81 9-76 61-05 5.35 3.14 7.51 0.30 13 33-8 0.25 17 94. 57. 55-72 54-11 61-61 15.58 0.69 39-4 24.20. 2.23-2 185.52. 2-33 5-18 57-15 7.10 3.18 7.12 0.11 21 33-5 0.11 21 94. 19. 31-40 28-62 62-78 14.89 0.48 38-0 Dec. 4. 4.16.36-4 316. 2.45-52 48-87 56-65 12.69 1.38 0.81 1.38 19 30-7 1.25 52 84. 53. 20-01 9-80 70-21 4.67 0.78 11-2 6. 5.43.35-0 341. 14. 23-87 31-70 52-17 10.36 1.09 0.26 0.89 08 29-8 1.83 52 84. 48. 46-98 41-18 65-80 4.61 1.18 8-3 10. 8.33. 0-2 30. 12. 49-00 56-75 52-25 4.41 1.04 1.25 0.00 29 28-6 2.69 40 87. 19. 48-28 49-54 58-74 7.39 1.78 8-7 12.10. 7.56-4 55. 23. 33-69 34-68 59-01 1.86 1.29 2.60 0.24 47 28-0 2.83 31 89. 31. 16-99 17-62 59-37 9.79 1.90 11-8 13. 10. 59. 8-2 68. 22. 39-45 43-21 56-24 0.93 1.48 3.41 0.53 53 27-4 2.82 26 90.42.51-11 49-03 62-08 11.09 1.89 14-1 14.11.52.13-4 81.39.37-42 43-77 53-65 0.31 1.70 4.24 0.86 54 27-0 2.74 22 91. 53. 37-94 32-20 65-74 12.37 1.83 10-8 14.11.54.31-1 81. 40. 55-92 58-05 57-87 0.31 1.70 4.24 0.86 54 27-0 2.74 22 91. 53. 44-44 38-49 65-95 12.37 1.83 17-0 21. 17. 58. 7-4 181. 0. 13-81 12-89 60-92 6.01 3.17 7.77 0.74 07 24-4 1.12 08 94. 29. 43-23 46-75 56-48 15.07 0.53 37-9 1808. Jan. 1. 2.53.32-5 323. 5. 9-43 8-13 61-30 12. 32 1.31 1.63 1.45 34 20-8 0.31 44 84. 52. 34-23 23-15 71-08 4.52 0.91 23-5 2. 3.37.33-3 335.50.42-12 36-23 65-89 11.18 1.16 1.05 1.44 24 20-5 0.52 47 84.51.68-82 59-88 68-94 4.54 1.11 20-4 3. 4.19.58-9 348.20. 3-50 0-56 62-94 9.83 1.05 0.60 1.30 16 20-1 0.76 50 85. 6.30-29 24-15 66-14 4.84 1.30 17-5 4. 5. 1.43-1 0. 37. 48-78 52-08 56-70 8.37 0.99 0.33 1.06 10 19-8 1.03 52 85. 34. 18-42 12-91 65-51 5.37 1.48 15-0 10. 9.40.23-5 75.40.45-80 53-00 52-80 0.66 1.56 2.23 0.13 43 17-5 2.58 43 91.25.31-16 31-45 59-71 11.94 1.86 7-5 12. 11. 29. 18-0 103. 7. 7-38 18-52 48-86 0.03 2.04 3.82 0.68 54 16-8 2.81 34 93. 31. 56-63 52-85 63-78 14.28 1.63 9-3 14.13.20. 5-4 132. 0. 2-21 1-34 60-87 0.96 2.57 5.45 1.29 47 15-8 2.80 25 94.51.50-15 47-92 62-23 15.72 1.24 13-9 15. 14. 12. 40-9 146. 46. 27-63 21-08 66-55 1.99 2.80 6.17 1.47 38 15-5 2.71 21 95. 4.55-06 54-50 60-56 15.93 1.02 17-0 16. 15. 4. 18-6 161. 38. 34-87 26-50 68-37 3.35 2.99 6.79 1.51 28 15-2 2.57 17 94.57.41-69 39-04 62-65 15.77 0.79 20-4 , 17. 15. 55. 32-1 76.30.41-96 40-24 61-72 4.95 3.12 7.28 1.42 IS 14-9 2.38 14 94. 30. 23-45 21-44 62-01 15.23 0.57 '24-0 21. 19. 29. 10-6 234. 56. 12-96 11-67 61-29 11.57 2.88 7.53 0.31 13 13-3 1.33 08 90. 19. 46-20 47-78 58-42 10.47 0.10 36-4 Feb. 2. 4.21.22-6 19. 59. 38-88 31-15 67-73 6.26 0.98 0.46 1.20 12 9-7 0.36 45 86. 56. 53-13 46-16 66-97 6.77 1. 72 25-8 3. 5. 5. 0-9 32. 9.28-87 21-47 67-40 4.77 1.02 0.26 0.92 08 9-5 0.57 48 87.51.58-38 52-16 66-22 7.82 1.82 22-9 4. 5.50.26-8 44.24.17-55 14-44 63-11 3.36 1. 12 0.24 0.61 08 9-2 0.82 51 88. 53. 22-85 17-63 65-22 8.99 1.88 10-9 7. 8.20.26-3 82.41.19-63 13-44 66-19 0.43 1.64 1.21 0.00 28 8-1 1.68 52 92.11.20-30 18-77 61-53 12. 74 1.81 12-2 8. 9. 14. 18-4 96. 15. 39-38 34-23 65-15 0.07 1.88| 1.83 0.05 38 7-8 1.97 51 93.11.35-54 32-66 62-88 13.87 1.69 lo-l Sub. 60-00 Sub. 7.02 Sub. 1 Sub. Sub. Sub. Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 6o'-00 Sub. 10*. 21 Sub. 1. 00 Sub 23-7 2.00 4.00 0.76 30 i 1 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [215] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for Q'l \ in Argument. Parallactic Inequality. Variation. Change for Qs-1 1 in Argument. 1 Annual Equation. Evection. Change for 08-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. si. *1S Hz SI Effect of Mean Inclination. Change for 08-1 1 in Argument. ft .2Pn fz HHJ .808. '' h "' " o / " H ft g ' X > \ vv g < s * v> o / // ff ^ e \ \\ > Feb. 9.10. 8.59-1 110. 19. 17-48 16-96 60-52 0.09 2.14 2.55 0.23 47 7-6 2.22 49 94. 2. 19-42 19-28 60-14 14.83 1.53 8-6 10.11. 3.41-7 124. 51. 27-51 26-17 61-34 0.50 2.41 3.35 0.51 53 7-3 2.45 46 94. 39. 17-33 13-3G 63-97 15.53 1.33 7-6 12. 12. 53. 48-3 155. 3. 7-80 2-18 65-62 2.47 2.88 5.00 1.15 50 6-8 2.75 38 94.56.47-12 43-58 63-54 15.87 0.86 8-1 13.13.47. 3-1 170. 25. 22-07 10-91 71-16 3.93 3.05 5.82 1.39 43 6-3 2.82 33 94. 33. 51-33 51-11 60-22 15.44 0.63 9-7 14. 14. 40. 24- 1 185. 46. 32-39 25-96 66-43 5.59 3.15 6.49 1.51 33 6-1 2.83 28 93.51.14-71 12-87 61-84 14.63 0.43 11-8 16. 16. 29. 20-2 215. 56. 35-52 35-14 60-38 9.11 3.12 7.47 1.33 15 5-6 2.68 20 91. 42. 27-62 29-62 58-00 12.19 0.15 18-0 19. 19. 17. 53-4 259. 2. 7-73 4-81 62-92 13.09 2.56 7.65 0.45 10 5-0 2.08 10 87. 59. 58-49 59-36 59-13 7.96 0.17 28-3 Mar. 4. 5. 19. 48-3 64. 18. 20-85 13-43 67-42 1.72 1.31 0.23 0.77 07 2-2 0.23 42 90. 54. 55-63 50-93 64-70 11.12 1.89 30-6 5. 6. 9.52-5 76. 57. 58-73 46-20 72-53 0.83 1.50 0.29 0.46 09 2-1 0.41 46 91.59.23-68 23-22 60-46 12.34 1.84 28-0 6. 7. 1.33-7 89. 59. 20-80 12-11 74-69 0.25 1.73 0.53 0.20 14 1-9 0.64 49 92. 59. 39-63 36-79 62-84 13.49 1.74 24-7 11.11.29. 1-4 162.25.40-16 36-89 63-27 2.98 2.95 3.76 0.66 54 1-2 2.04 50 94. 47. 23-57 18-52 65-05 15.67 0.73 10-0 14. 14. 17. 54-2 209. 30. 37-98 38-79 59-19 8.03 3.17 6.12 1.46 39 0-9 2.66 41 92. 1.58-92 60-91 58-01 12.65 0.19 7-6 15. 15. 15. 44-5 224. 52. 23-59 24-56 59-03 9.73 3.08 6.75 1.51 28 0-7 2.77 36 90.43. 2-70 7-46 55-24 11.18 0.11 8-6 16.16.14. 8'6 239.51.38-44 40-14 58-30 11.25 2.92 7.25 1.42 19 0-6 2.83 32 89. 22. 48-65 55-65 53-00 9.68 0.10 10-4 April 3. 5.45.20-9 98. 0.32-80 18-79 74-01 0. 12 1.82 0.24 0.63 07 o-o 0.03 35 93. 45. 14-99 7-69 67-30 14.22 1.64 36-6 5. 7.28.30-9 125.11.63-80 44-77 79-03 0.36 2.34 0.69 0.11 18 0-1 0.27 43 94. 59. 10-34 4'2S 66-06 15.64 1.28 31-8 8. 10. 5. 53-8 169.41.56-72 45-40 71-32 3.54 3.01 2.49 0.21 47 0-2 0.97 51 94.35.66-13 57-76 68-37 15.34 0.60 21-2 9.11. 0.32-6 185.21.41-31 31-06 70-25 5.16 3.13 3.35 0.49 52 0-3 1.26 52 93. 46. 23-44 12-78 70-66 14.47 0.40 17-5 12. 13. 58. 16-6 232.44. 7-50 8-93 58-57 10.34 3.03 5.77 1.38 43 0-5 2.11 50 89.53.16-80 23-98 52-82 10.26 0.10 9-2 13.14.58.50-5 248. 2.22-95 24-55 58-40 11.76 2.85 6.45 1.51 34 0-5 2.35 47 88.30.17-46 29-99 47-47 8.74 0. 13 7-9 15.16.55. 8-8 277. 14. 15-20 9-66 65-54 13.63 2.37 7.44 1.34 15 0-8 2.70 40 86. 14. 19-62 30-51 49-11 6.22 0.36 7-8 16.17.48.39-8 291. 5.28-79 21-85 66-94 13.98 2.10 7.70 1.08 09 0-9 2.80 35 85. 28. 25-93 25-36 60-57 5.35 0.53 8-8 17. 18.38.40-1 304. 29. 47-42 40-58 66-84 13.94 1.84 7.78 0.77 07 1-0 2.83 31 84. 58. 48-51 51-30 57-21 4.79 0.72 10-2 19.20. 9.59-4 330.14. 5-12 5-07 60-05 12.79 1.40 7.39 0.22 16 1-2 2.73 22 84. 48. 53-81 37-61 76-20 4.54 1.12 14-6 May 5. 7. 53. 16-3 162. 36. 64-70 49-74 74-96 2.64 2.91 0.90 0.04 22 3-6 0.05 36 94. 56. 16-04 6-92 69-12 15.57 0.68 36-7 6. 8. 45. 19-0 177. 37. 54-79 43-32 71-47 4.12 3.07 1.46 0.00 32 3-8 0.16 40 94. 16. 31-58 17-46 74-12 14.86 0.48 34-1 7. 9.39.23-7 193. 0. 40-48 30-34 70-14 5.81 3.16 2.13 0. 11 42 4-0 0.32 44 93. 17. 33-99 20-49 73-50 13.80 0.30 31-1 9. 11.35. 19-7 224.23. 2-52 2-28 60-24 9.32 3. 11 3.70 0.64 54 4-6 0.77 50 90. 38. 45-25 32-84 72-41 10.95 0.11 23-7 10. 12. 38. 58-5 240. 4.34-09 35-21 58-88 10.89 2.97 4.53 0.98 53 4-8 1.05 52 89.11.39-38 34-75 64-63 9.38 0.11 19-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sllb. Sub. Sub. Sub. Sub. Sub. 60-00 7* 02 2. 00 % \\ 4.00 0. 76 30 20-8 v 1.42 30 60-00 10. 21 i. oo 23-7 [216] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Loncritude. Excess of Observed Longitude. .s = 1 a f Change forO*'! 1 in Argument. Parallactic Inequality. Variation. Change for OK- 1 in Argument. Annual Equation. Evection. Change for 08-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Excess of Ob- served Ecliptic N. P.O. *=J m Change for Os-1 1 in Argument. W .2 a. fe ww 1808. '. / * H g > \ \ \\ g \\ V i * x\ Q 1 II II H a > \ \\ May 14.16.30.53-1 299. 4.39-18 42-42 56-76 14.01 2.00 7.25 1.43 19 5-6 2.18 49 85. 5.55-97 44-88 71-09 4.93 0.66 9-0 18.19.33. 3-5 350. 52. 45-48 47-88 57-60 11.31 1.18 7.56 0.34 12 6-8 2.81 34 85. 23. 33-47 23-16 70-31 5.24 1.44 8-2 30. 4. 9.18-3 129. 32. 37-37 26-45 70-92 0.25 2.28 0.51 1.23 13 9-9 0.77 10 95. 9.27-01 20-79 66-22 15.83 1.17 35-0 June 1. 5.47.52-7 157. 26. 55-08 51-66 63-42 1.86 2.78 0.23 0.64 07 10-7 0.33 16 95. 3.19-02 17-84 61-18 15.69 0.74 38-8 2. 6.37.42-3 171. 51. 55-35 53-80 61-55 3. 18 2.97 0.35 0.35 11 11-0 0.17 20 94.31.58-87 50-84 68-03 15.10 0.53 '39-8 4. 8.22.26-5 201. 36. 42-03 41-83 60-20 6.48 3.17 1.17 0.01 27 11-5 0.00 28 92. 36. 24-28 15-55 68-73 12.97 0.21 139-4 5. 9.18.42-1 216. 51. 40-84 35-36 65-48 8.24 3.16 1.78 0.03 37 11-8 0. 01 33 91.18.38-76 31-19 67-57 11.54 0.12 38-0 7. 11. 18. 33-5 247.38. 7-07 5-41 61-66 11.43 2.90 3.29 0.47 52 12-4 0.20 42 88.31. 9-22 0-42 68-80 8.49 0.14 33-1 12.15.59.19-1 320. 6.55-44 55-09 60-35 13.66 1.66 6.98 1.49 24 14-2 1.42 53 84. 46. 55-25 48-65 66-60 4.50 1.00 16-3 13.16.45.15-9 333. 16. 52-42 53-66 58-76 12.99 1.45 7.42 1.35 15 14-5 1.71 52 84. 53. 65-09 59-99 65-10 4.65 1.21 13-7 14.17.29. 6-0 346. 3.53-22 58-48 54-74 12.03 1.27 7.69 1.10 09 14-8 1.99 51 85. 16. 31-73 22-74 68-99 5.08 1.40 11-5 15.18.11.45-0 358.33. 3-47 10-37 53-10 10.83 1.13 7.78 0.80 07 15-4 2.24 48 85.51.56-71 49-87 66-84 5.75 1.56 9-7 29. 4.35.18-6 167. 26. 43-48 28-33 75-15 2.32 2.86 0.37 1.11 10 19-8 1.24 08 94. 34. 47-50 43-18 64-32 15.25 0.57 29-5 30. 5.25.15-5 181.52. 8-30 2-54 65-76 3.75 3.03 0.24 0.81 07 20-2 0.96 09 93. 50. 62'28 57-64 64-64 14.41 0.39 32-7 July 1. 6. 16. 38-8 196.27.41-15 40-73 60-42 5.39 3.14 0.27 0.50 08 20-5 0.70 11 92. 51. 54-21 47-54 66-67 13.29 0.24 35-4 2. 7.10.10-5 211. 12.29-88 31-37 58-51 7.15 3.18 0.48 0.23 14 21-1 0.47 14 91.40.51-36 40-30 71-06 11.95 0.14 37-6 4. 9. 4.31-2 241. 2. 14-92 16-06 58-86 10.53 3.01 1.41 0.00 32 21-8 0.13 21 89. 1.71-12 58-78 7-2-34 8.00 0. 12 39-9 5.10. 4. 7-6 255. 59. 33-51 39-25 54-26 11.92 2.82 2.08 0. 10 4-2 22-1 0.04 25 87. 45. 62-14 53-27 68-87 7.59 0.20 39-9 7.12. 1. 3-9 7.12. 3.24-1 285.30. 5-38 285. 31. 28-03 14-89 36-45 50-49 51-58 13.69 13.69 2.33 2.33 3.70 3.70 0.63 0.63 54 54 22-7 22-7 0.02 0.02 34 34 85. 47. 44-25 85. 47. 40-02 37-34 33-19 66-91 66-83 5.42 5.42 0.51 0.51 37-5 37-5 11.15.22.41-4 340. 33. 49-51 43-03 66-48 12.66 1.38 6.71 1.52 30 24-3 0.66 49 85. 15. 11-05 8-87 62-18 4.92 1.34 27-0 12.16. 6.30-3 353. 21. 44-33 43-16 61-17 11.60 1.21 7.22 1.44 20 24-6 0.92 51 85. 46. 46-71 38-95 67-76 5.53 1.51 24-0 13. 16.49.28-0 6.52.11-67 9-57 62-00 10.33 1.09 7.58 1.25 12 24-9 1.20 52 86.29.52-41 50-34 62-07 6.35 1.66 20-9 14. 17. 32. 23-3 18. 10. 11-68 11-12 60-56 8.89 1.01 7.75 0.96 08 25-2 1.49 53 87.21.64-90 59-70 65-20 7.34 1.78 18-2 15.18.16. 1-2 30. 21. 42-33 41-63 60-70 7.38 0.97 7.75 0.65 08 25-6 1.78 52 88.21. 9-45 2-93 66'52 8.46 1.86 15-4 17. 19. 47. 39-6 54. 49. 31-33 28-45 62-88 4.36 1.04 7.25 0.15 19 26-5 2.30 48 90. 30. 11-43 6-17 65"26 10.89 1.89 11-2 29. 5. 6.51-2 206. 45. 62-37 56-30 66-07 6.06 3.17 0.28 0.97 09 30-1 1.73 09 91.49.39-60 33-12 66.48 12.24 0.16 23-5 Aug. I. 7.55.27-7 250.41.19-93 25-90 54-03 11. 10 2.94 0.66 0.13 17 31-2 0.89 10 88. 2.25-96 20-52 65-44 7.94 0.17 33-5 2. 8.53.26-3 265.13. 7-87 16-57 51-30 12.37 2.74 1.13 0.01 27 31-5 0.63 12 86. 56. 18-52 9-93 68-59 6.69 0.29 36-1 Sub. 23-7 Sub. 6o"-oo Sub. 7.02 Sub. Sub. Sub. 0.76 Sub. H 30 Sub. 20-8 Sub. g \ 1.42 Sub. \\ 30 Sub. 60-00 Sub. 10*. 21 Sub. 1. 00 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [217] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. it SS Change for 0- 1 in Argument. Parallactic Inequality. Variation. Change for Oi-l in Argument. Annual Equation. Evection. ChangeforO-l in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. Ajj ,x h W Pi Change for OH in Argument. Evection in E.N.P.D. 1908. d h m Q t ft " rt * \ \\ g \ \ i * O / ft m , . i ,Aug. 4. 10.45.13-8 293. 50. 28-96 37-10 51-86 13.86 2.23 2.44 0.19 46 32-0 0.23 18 85. 24. 28 64 20-06 68-58 4.96 0.65 39-4 5. 11.37.18-9 307.48.59-84 63-86 55-98 14.01 1.97 3.23 0.46 52 32-3 0. 10 22 85. 3.41-50 32-34 69-16 4.57 0. 86 39-9 6. 12. 28. 43-4 321.31. 3-79 9-55 54-24 13.78 1.72 4.06 0.79 54 32-5 0.02 26 85. 0.26-35 21-72 64-63 4.51 1.07 39-9 7. 13. 15. 26-7 334. 52. 42-42 44-28 58-14 13.19 1.50 4.88 1. 11 51 32-8 0.00 31 85. 13. 53-77 51-53 62-24 4.77 1.28 39-1 8. 14. 0. 17-6 347. 54. 45-23 46-25 58-98 12.30 1.31 5.67 1.36 45 33-1 0.04 35 85. 42. 14-75 9-78 64-97 5.31 1.46 37-9 11. 16. 10.44-2 25. 24. 19-35 16-29 63-06 8.33 0.99 7.39 1.37 16 34-1 0.48 47 88.11. 7-19 6-15 61-04 8. 13 1.84 31-6 28. 5.51. 0-5 246. 20. 16-6-2 7-60 69-02 10. 16 3.04 0.24 0.82 07 38-0 2.18 11 88. 9.31-98 20-98 71-00 8.21 0.16 17-7 31. 8.39.20-3 289. 2.22-40 26-15 56-25 13.56 2.40 0.87 0.05 21 38-5 1.37 08 85. 26. 38-68 36-20 62-48 5.10 0.60 27-8 Sep. 2.10.20.42-4 316.23.53-81 63-19 50-62 13.97 1.87 2.08 0.09 41 39-0 0.81 10 84. 56. 49-08 48-40 60-68 4.50 1.01 33-7 4.11.53. 1-6 342. 46. 39-35 41-76 57-59 12.89 1.42 3.64 0.61 53 39-3 0.36 15 85. 32. 59-83 55-02 64-81 5.13 1.41 37-9 4.11.55. 65 342. 47. 43-34 46-98 56-36 12.89 1.42 3. 64 0.61 53 393 0.36 15 85. 32. 61-86 57-84 64-02 5.13 1.41 37-9 6. 13.22.35-5 8. 11. 36-27 40-65 55-62 10.65 1.11 5.29 1.23 49 39-6 0.07 23 87. 1.28-37 23-70 64-67 6.75 1.72 39-8 8. 14.50. 11-2 32.49.24-81 25-98 58-83 7.75 0.98 6.67 1.52 30 39-8 0.00 32 89. 1.33-01 26-80 66-21 8.98 1.88 39-7 9. 15.35.15-6 44.59. 15-50 13-60 61-90 6.22 0.98 7.19 1.45 21 40-1 0.06 36 90. 6.32-52 29-96 62-56 10.20 1.90 38-9 24. 3.44. 0-8 241.21. 29-00 41-45 47-55 9.15 3.12 0.94 1.42 22 41-4 2.83 29 88. 21. 54-48 55-54 58-94 8.55 0.14 7-6 25. 4.42.52-3 256. 12. 1-57 7-01 54-56 10.75 2.99 0. 53 1.25 14 41-5 2.79 25 87. 9.23-34 22-57 60-77 7.19 0.24 8-6 26. 5. 40. 28-4 270. 42. 5-50 0-33 65-17 12.10 2,79 0.29 0.99 09 41-5 2.69 20 86. 9.46-21 30-57 75-64 6.07 0. 38 10-2 30. 9. 5. 2-5 325. 23. 20-38 24-24 56-14 13.87 1.78 1.09 0.01 26 41-6 1.86 09 84. 55. 55-77 5465 61-12 4.61 1.18 20-9 Oct. 1. 9. 50. 14 2 338. 22. 4-47 1-68 62-79 13.36 1.55 1.68 0.03 36 41-6 1.58 08 85. 18. 52-62 49-16 63-46 5.00 1.37 24-0 3. 11.17.26-9 3. 41. 35-68 37-15 58-53 11.45 1. 19 3.17 0.44 52 41-6 1.01 09 86. 43. 30-68 33-20 57-48 6.52 1.69 29-9 4. 12. 2. 48'7 16. 7. 3-09 6-16 56-93 10.14 1.07 4.00 0.76 54 41-6 0.75 11 87. 40. 33-53 34-32 59-21 7.54 1.80 32-4 5. 1-2.46.38-8 28. 23. 52-20 53-40 58-80 8.69 1.00 4.82 1.08 52 41-6 0.51 13 88. 43. 37-23 34-36 6287 8.68 1.87 34-7 8. 15. 4. 13-1 64. 54. 53-04 54-69 58-35 4. 17 1.06 6.91 1.50 26 41-5 0.05 24 92. 0.41-21 38-67 62-54 12. 29 1.84 39-3 10.16.41. 1-6 89. 36. 29-53 19-23 70-30 1.69 1.32 7.65 1. 14 10 41-4 0.01 33 93.51.41-37 34-71 66-66 14.341.62 40-0 11. 17. 30.16-3 102. 17. 9-17 2-89 66-28 0. 81 1.51 7.77 0.84 07 41-3 0.08 38 94.33. 6-21 4-84 61-37 15. 11 1.46 39-5 12.18. 19.46-1 115. 17. 57-96 50-83 67-13 0.24 1.74 7.71 0.53 09 41-2 0.21 42 95. 1.45-84 49-11 5673 15.65 1.28 38-4 26. 6. 15. 1-1 307. 55. 55-75 59-39 56-36 13.90 2.20 0.24 0.84 08 39-8 2.83 28 84. 43. 20-70 12-64 68-06 4.52 0.93 7-7 27. 7. 3.12-3 321. 19. 37-40 39-95 57-45 14.00 1.93 0.26 0.52 08 39-6 2.77 23 84.46.11-77 6-07 65-70 4.56 1.14 8-6 28. 7.48.53-8 334.22 7-50 8-42 59-08 13.71 1. 69 0.46 0.25 13 39-5 2. 66 19 85. 5. 19-35 16-02 63-33 4.90 1.33 10-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60'-00 T. 02 \ \\ 2.00 4.00 6.76 30 20-8 1.42 30 60-00 10.21 i.oo 23-7 1 - CKEKNWICH LUNAR REDUCTIONS. 2[F] [218] KEDTTCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. ki- ll Sj Change for fls- 1 in Argument. Parallactic Inequality. Variation. Change for 08-1 in Argument. Annual Equation. Evection. [Change for 08-J in Argument. Ecliptic N.P.D. of Moon's Center from Observation. E Seconds of ibular Ecliptic N. P. D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. 1 Change forOs-1 1 in Argument. C . = D .SB; fz ud 1808. "-*' Oct. 29. 8.32.53-7 Q 1 II 347. 7. 23-59 m 21-69 61-90 e " is. oy V W 1.47 % \\ 0.84 e 0.06 \> 21 i 39-4 s " 2.50 \\ 16 O ' II 85. 38. 44-51 42-90 * 61-61 g * 5.50 1.51 V 11-8 30. 9.15.59-6 359. 39. 13-77 10-89 62-88 12.15 1.29 1.37 0.00 31 39-2 2.29 13 86.24. 9-46 11-05 58-41 6.32 1.66 14-1 Nov. 5. 13. 48. 42-3 73. 4.54-09 54-74 59-35 3.64 1.09 5.97 1.43 41 38-0 0.69 11 92. 42. 60-91 57-18 63-73 13.15 1.77 30-4 C. 14. 37. 9-8 85. 25. 32-02 30-24 61-78 2.37 1.22 6.63 1.62 31 37-8 0.46 14 93. 37. 39-60 36-52 03-08 14. 14 1.65 33-1 9.17. 2.56-6 123. 35. 44-48 36-99 67-49 0. 12 1.83 7.74 1.01 08 37-2 0.03 25 95. 14. 20-36 20-92 59-44 15.87 1. 13 38-7 11. 18. 39. 45-3 150. 36. 48-88 47-94 60-94 0.37 2.35 7.61 0.40 11 36-6 0.03 34 95. 1.60-41 58-43 61-98 15.63 0.71 40' () 13.20.20. 9-1 179. 24. 46-78 43-54 63-24 2.18 2.83 6.79 0.00 27 36-2 0.25 43 93. 36. 52-95 44-49 68-46 14.07 0.34 38-0 22. 4. 6.59-0 302. 25. 5-60 13-84 51-76 13.64 2.36 0.97 1.43 23 34-0 2.32 47 84. 48. 13-79 6-18 67-61 4.56 0.86 13-1 27. 7.57.27-0 7. 59. 21-94 22-32 59-62 11.73 1.23 0.60 0. 15 16 32-4 2. 82 27 87. 1.47-77 46-44 61-33 7.09 1.75 7'5 28. 8.40.29-8 20. 14. 42-50 42-83 59-67 10.47 1.10 1.05 0.02 25 32 1 2.75 22 88. 1.18-41 20-85 57-56 8.19 1.84 8-0 30. 10. 9. 15-0 44. 33. 51-79 40-37 71-42 7.54 0.97 2.33 0.16 45 31-6 2.45 15 90.12.29-25 33-11 56-14 10.58 1.90 10-5 Dec. 2.11.43.12-7 69. 0.54-41 57-78 56-63 4.51 1.04 3.94 0.74 64 31-0 1.99 10 92.21.39-37 39-07 60-30 12.93 1.79 14-6 4. 13. 23. 2-5 93. 56. 24-30 23-07 61-23 1.94 1.28 5.56 1.33 46 30-1 1.43 08 94. 6. 9-71 0-53 63-18 14.80 1.54 1!C!I 6. 15. 0. 28-8 119. 29. 53-88 51-45 62-43 0.34 1.68 6.87 1.51 26 29-5 0.88 10 95. 4.48-83 50-87 57-96 15.83 1. 17 26-0 7.15.48.23-2 132.35.15-51 13-34 62-17 0.04 1.93 7.34 1.39 17 29-2 0.62 12 95. 12. 3-24 0-33 62-91 15.93 0.97 29-0 9. 17. 23. 35-0 159. 33. 56-29 60-85 55-44 0.60 2.45 7.77 0.86 07 28-6 0.23 18 94. 36. 8-04 6-54 61-50 15. 21 0.56 34-7 10.18.12. 5-2 1809. Jan. 7. 16. 58. 49-2 173.32.31-18 183. 14. 7'41 31-89 15-03 59-29 52-38 1.47 1.89 2.70 2.78 7.72 7.73 0.55 1.03 09 08 28-3 18-1 0.10 0.81 22 10 93. 52. 49-54 93. 0.57-54 47-83 52- 12 61-71 65-42 14.39 13.55 0.39 0. 27 36-J) 25-8 8.17.49.11-6 197.29. 2-49 5-36 57-13 3.21 2.98 7.76 0.71 07 17-8 0.56 12 91.54.67-47 56-76 60'71 12.30 0. 16 29-0 10. 19. 37. 26-2 226.45.11-00 9-09 61-91 6.53 3.18 7.31 0.18 17 17-1 0.19 19 89.22. 841 7-46 60-95 9.41 0.11 35-0 26. 8. 19. 50-9 72. 1.51-39 54-50 56-89 4.86 1.02 1.01 0.02 24 11-8 2.61 42 92. 48. 49-26 53-07 56-19 13.43 1.74 13-7 28. 9.58.11-9 97. 9.43-81 44-37 59-44 2.21 1.24 2.28 0.15 44 10-9 2.82 34 94.18.61-74 53-21 58-53 15.14 1.46 9-8 29.10.48. 3-7 110. 7.35-95 34-01 61-94 1.20 1.41 3.06 0.40 51 10-6 2.83 29 94. 46. 28-30 29-33 58-97 15.67 1.27 8-4 31.12.29.22-2 136. 56. 17'49 19-99 57-50 0.08 1.87 4.71 1.04 52 10-0 2.69 20 94. 55. 52 68 51-54 61-14 15.86 0.85 7'4 Feb. 3. 14. 56. 41-8 178.54. 9-13 10-95 58-18 1.23 2.64 6.83 1.51 27 8-9 2.11 11 93. 5. 4-88 5-23 59-65 13.78 0.30 10-8 19. 3.54. 0-2 30.11.24-17 17-99 66-18 10.29 1.08 0.78 1.38 19 4-8 0.62 49 89. 33. 22-60 15-98 66-62 9.58 1.90 36-6 22. 6. 12. 13-9 66.54.16-17 8-96 67-21 5.80 0.99 0.25 0.57 08 4-2 1.45 53 92. 41. 15-07 18-82 56-25 13. 12 1.77 29-7 26. 9.27.38-7 117. 25. 61-96 56-88 65-08 0. 88 1.49 1.93 0.06 39 3-4 2.48 45 95. 2.65-61 57-99 57-62 15.87 1. 14 18-0 27. 10. 17. 16-1 130. 51. 22-28 15-94 6634 0.28 1.71 2.66 0.25 48 3-0 2.65 41 95. 3.51-17 46-33 64-84 15.91 0.93 15-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 * > 7-02 * \\ 2.00 4.00 s 0.76 M 30 20-8 a \ 1.42 30 60-00 10. 21 \ \\ 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [219] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. o- 1 1-1 J Change for 0-1 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. Annual Equation. Evection. Change for 08-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. .i.2 o a. *!g s-s -. 8 * 1 Effect of Mean Inclination. Change for OS- 1 1 in Argument. -e S* I*. - 1809. d " " ' Feb. 28.11. 6.54-9 O t tf 144. 38. 66-62 // 54-68 it 71-94 g * 0.03 \ 2-9 g " 2.77 37 o / /' 94. 47. 13-87 it 11-29 n 62-58 t \ 15.64 \ \\ 0.71 12-6 1.96 3.46 0.54 53 Mar. 8.18.20.24-4 261.48.56-63 61-40 55-23 9.60 3.09 7.77 0.72 07 1-6 1.77 09 86. 10. 58-10 55-14 62-96 6.08 0.38 14-1 25. 7.17.24-7 111.32.21-77 12-46 69-31 1.42 1.37 0.55 0.18 15 0-1 1.23 52 95. 7. 20-03 16-76 63-27 15.78 1.20 34-1 26. 8. 6. 3-7 124. 33. 62-02 51-68 70-34 0.62 1.57 0.97 0.03 24 o-i 1.52 53 95. 13. 58-98 58-30 60-68 15.93 1.00 31-6 27. 8.54.55-2 137. 59. 33-37 23-51 69-86 0.15 1.80 1.55 0.01 34 0-1 1.81 52 95. 3.60-25 58-80 61-45 15.78 0.79 28-7 29. 10. 34. 23-7 166. 9. 23-04 13-15 69-89 0.32 2.32 3.00 0.38 51 o-o 2.33 47 93. 50. 44-50 40-27 64-23 14.50 0.40 21-9 \pril 1. 13.17. 4-6 211.10. 3-57 3-08 60-49 3.42 3.00 5.45 1.30 47 o-o 2.79 36 90. 11. 1-44 5-14 56-30 10.54 0.10 12-2 2. 14. 14. 45-7 226. 30. 33-38 33-58 59-80 5.04 3.13 6.22 1.48 38 o-o 2.83 31 88. 46. 57-41 59-16 58-25 9.01 0.12 9-8 3. 15. 14. 1-7 241. 48. 43-80 39-25 64-61 6.80 3.18 6.83 1.51 27 o-o 2.82 26 87.28.11-75 15-66 56-09 7.56 0.20 8-2 4. 16. 13. 46-8 256. 57. 27-94 23-10 64-84 8.56 3.15 7.31 1.41 18 o-o 2.74 22 86. 20. 56-05 57-29 58-76 6.33 0.34 7-5 5.17.12.41-2 271. 51. 35-30 25-00 70-30 10. 22 3.04 7.63 1.19 11 o-i 2.61 18 85. 29. 35-98 3664 59-34 5.38 0.52 7-6 22. 5. 57. 52-5 119. 4.48-04 44-91 63-13 1.08 1.44 0.25 0.59 08 1-5 0.30 44 95. 17. 10-46 6-58 63-88 15.92 1.07 40-0 25. 8.21.36-0 159. 6.35-45 22-16 73-29 0.10 2.16 1.25 0.00 28 1-9 1.02 52 94. 17. 37-91 29-42 68-49 14.84 0.47 37-0 May 1.13.59.19-4 250. 14.29-17 32-06 57-11 7.47 3.18 5.82 1.40 43 2-9 2.58 43 86.48.11-91 14-02 57-89 6.73 0.29 17-2 2. 15. 1. 4-1 265. 48. 25-01 23-93 61-08 9.21 3.11 6.49 1.51 33 3-1 2. 72 39 85. 47. 25-43 26-03 59-40 5.64 0.46 13-9 7. 19. 29. 0-7 337. 38. 33-52 37-47 56-05 14.01 2. 02 7.65 0.44 10 4"2 2.57 17 85. 38. 47-34 34-90 72-44 5.54 1.52 7-6 19. 3.53.39-7 114. 36. 15-32 8-18 67-14 1.66 1.33 0.63 1.31 16 6-8 0.06 23 95. 10. 54-23 50-51 63-72 15.89 1.11 32-4 21. 5.26.59-9 140. 7.49-81 48-48 61-33 0.23 1.74 0.23 0.76 07 7-3 0.01 32 94. 59. 58-72 53-92 64-80 15.64 0.72 36-7 23. 7. 1. 15-7 166. 57. 49-35 41-80 67-55 0.21 2.26 0.53 0.19 15 8-0 0.18 41 93. 45. 38-97 32-21 66-76 14.24 0.36 39-5 24. 7.50.23-4 181. 2. 11-83 1-27 70-56 0.79 2.52 0.94 0.03 23 8-3 0.35 45 92. 45. 41-45 35-33 66-12 13.13 0.23 40-0 25. 8.41.56-4 195. 36. 16-42 6-28 70-14 1.76 2.76 1.50 0.01 33 8-5 0.57 48 91.33. 14-72 495 69-77 11.79 0.13 39-7 27. 10. 34. 49-0 226. 9. 37-12 37-56 59-56 4.61 3.10 2.94 0.36 50 9-1 1. 10 52 88. 47. 55-53 43-61 71-92 8.76 0.13 36-7 28.11.36. 5-2 241.57.51-12 58-15 52-97 6.35 3.17 3.82 0.67 54 9-3 1.39 53 87- 27. 40-95 33-39 67-56 7.30 0.23 34-1 29.12.41.36-9 257. 55. 14-35 16-99 57-36 8.13 3.16 4.65 1.01 53 9-6 1.68 52 86. 18. 38-61 36-81 61-80 6.05 0.38 30-6 June 2. 16. 35. 24-7 318.56. 15-21 16-43 58-78 13.43 2.45 7.28 1.42 18 11-0 2.62 42 85. 1.43-36 37-80 65-56 4.77 1.27 16-3 5. 18. 57. 45-6 359.32. 2-2-14 18-43 63-71 13. 70 1.68 7.74 0.59 08 11-8 2.83 29 87. 10. 65-28 56-69 68-59 7.23 1.77 9-4 18. 4. 10. 54-0 148.54.31-54 29-09 62-45 0. 11 1.84 0.46 1.21 13 16-0 0.29 17 94. 31. 47-49 47-37 60-12 15.24 0. 57 25-2 19. 4.57. 8-1 162. 7.18-75 19-02 59-73 0.05 2.09 0.26 0.93 08 16-4 0.14 20 93. 52. 20-74 18-80 61-94 14.48 0.40 28-5 23. 8. 18. 55-5 218. 45. 29-02 1799 71-03 3.61 3.02 1.21 0.00 28 179 0.09 38 89. 20. 27-31 17-53 69-78 9.34 0. 11 38-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 6o''oo e \ 7.02 2. 00 4.00 0.76 30 20-8 1 . 42 M 30 60-00 10. 21 V \\ 1.00 23-7 2 [F] 2 [220] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. ill s cr W Change for 0?'l in Argument. Parallactic Inequality. Variation. Change for 03-1 1 in Argument. J Annual Equation. Evection. Change for 0-1 in Argument. | Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P.D. J..S 21-c 2** 11* 3 Effect of Mean Inclination. Change for (je-1 I in Argument. Evection in E. N. P. D. 1809. d h m ' 1 II ft rr s v \ \\ \ \\ g \\ g X o t n ll ft I " > ., i June 25. 10. 18. 10-6 249.38. 0-84 2-65 58-19 7.02 3.18 2.55 0.22 47 18-6 0.41 46 86. 50. 34-66 25-72 68-94 6.56 0.31 40-0 26.11.20.59-1 265.27. 18-03 23-28 54-75 8.78 3.14 3.35 0.51 53 18-9 0.64 49 85. 62. 57-07 45-44 71-63 5.49 0.49 39'4 30. 15. 15. 57-0 326. 48. 63-59 59-87 63-72 13.66 2.35 6.49 1.51 33 20-5 1.77 52 85. 27. 45-39 38-41 66 97 5.12 1.41 20-7 July 20. 6.11. 4-3 213. 13.39-78 38-89 60-89 2.71 2.92 0.28 0.47 09 27-1 0.25 18 89. 35.63-15 53-69 (59-46 9.76 0.10 25-2 21. 7. 5.46-1 227. 49. 57-29 57-19 60-10 4.21 3.07 0.51 0.20 14 27-4 0.11 21 88. 20. 39 65 28-03 71-62 8.32 0. 15 28-7 23. 9. 3. 42-7 258. 4.19-36 23-62 55-74 7.69 3. 17 1.50 0.01 33 28-0 0.00 30 86. 10. 34-14 25-14 69-00 5.85 0.42 35-0 28. 13. 54. 24-4 334. 13. 44-70 37-19 67-51 13.83 2.25 5.40 1.28 47 29-8 0.71 50 85. 57. 44"26 36-67 67-59 5.59 1.53 39-1 30. 15.31.45-6 2. 3. 15-52 12-54 62-98 13.81 1.74 6.75 1.52 29 30-3 1.26 52 87. 49. 52-73 41-94 70-79 7.70 1.81 35-6 Aug. 3. IS. 35. 40-0 52. 53. 42-57 34-64 67-93 9.91 1.06 7.74 0.62 OS 31-7 2.34 47 92.10.51-18 44-79 66-39 12.64 1.82 25-0 4. 19.22.22-0 65. 6. 56-54 50-14 66-40 8.44 0.99 7.56 0.33 12 32-0 2.54 44 93. 5.49-48 48-00 61-48 13.69 1.71 22-2 17. 5. 1. 14-7 223. 13.28-36 23-56 64-80 3.25 2.98 0.27 0.94 08 35-5 1.12 OS 88. 29. 17-43 9-96 67-47 8.62 0.14 12-9 19. 6.54.21-3 252.32. 4-11 5-34 58-77 6.58 3. 18 0.37 0.33 11 36-0 0.59 12 86. 17. 50-51 42-35 68-16 6. 13 0.37 19-2 20. 7. 53. 19-1 267. 28. 40-43 46-29 54-14 8.35 3. 15 0.69 0.11 18 36-2 0.38 15 85. 31. 17-57 10-96 66'61 5.23 0.56 2-2-7 21. 8.52.23-3 282.31.54-12 60-53 53-59 10.03 3.06 1.17 0.00 27 36-4 0.20 19 85. 2.52-87 49-50 63-37 4.67 0.78 26-3 22. 9.50.18-1 297. 35. 35-88 42-12 53-76 11.51 2.89 1.78 0.04 38 36-6 0.08 23 84. 54. 58-99 57-37 61-62 4.50 1.01 29-9 23. 10. 46. 8-8 312.32.40-74 42-03 58-71 12. 69 2.67 2.55 0.21 47 36-8 0.01 27 85. 7.60-76 57-27 63-49 4.71 1.24 33-1 24. 11.39.31-8 327.15.5934 57-54 61-80 13.51 2.42 3.35 0.49 52 37-2 0.00 32 85. 40. 18-37 13-11 65-26 5.28 1.46 35-8 25.12.32.44-6 341.40.61-04 53-62 67-42 13.94 2.15 4. 18 0.82 54 37-4 0.05 36 86. 28. 40-50 34-77 65-73 6.17 1.64 37-9 26. 13.21.45-3 355.41. 11-09 5-33 65-76 13.98 1.89 5.00 1.14 51 37'6 0.10 40 87. 28. 42-35 3724 65-11 7.27 1.77 39-2 29. 15.42.38-5 35. 17.67-80 52-77 75-03 11.97 1.26 7.02 1.49 24 38-2 0.77 50 90. 54. 57-96 53-84 64-12 11.09 1.89 39-4 Sep. 2.18.50.49-3 84.42.61-92 55-60 66-32 % 6. 32 0.98 7.67 0.48 09 39-0 1.91 51 94.27. 13-71 14-24 59-47 15.09 1.47 32-7 15. 4. 49. 45-4 248. 6.22-67 12-42 70-25 5.50 3. 15 0.35 1.10 10 40-6 1.88 09 86. 23. 33-58 27-38 66-20 6.35 0.34 7'9 19. 8.37.42-1 306. 56. 40-23 45-99 54-24 12.00 2.81 0.90 0.04 22 41-1 0.77 10 84. 54. 24-93 21-01 63-92 4.61 1. 18 16-8 20. 9.30.35-7 321.23.37-12 41-23 55-89 13.05 2.58 1.46 0.00 32 41-1 0.53 13 85.21. 5-00 1-12 63-88 5.08 1.39 20-2 23. 12. 0. 32-3 3. 17. 43-55 40-28 63-27 13.89 1.80 3.70 0.64 54 41-3 0.06 24 88. 8. 5-82 3-83 61-99 8.08 1.84 30-2 25. 13. 34. 33-8 29.43. 8-94 4-58 64-36 12. 61 1.37 5.34 1.26 48 41-5 0.01 33 90.31. 4-90 2-29 62-61 10.68 1. 90 35-2 27. 15. 8. 36-9 55. 2.34-78 20-29 74-49 10.24 1.08 6.71 1.52 29 41-5 0.20 41 92. 42. 40-69 40-08 60-61 13.09 1.77 38-7 28. 15. 55. 59-2 67. 24. 47-20 27-74 79-46 8.81 1.00 7.22 1.44 20 41-5 0.37 45 93. 36. 59-71 59-88 59-83 14.09 1.66 39-5 30.17.31. 2-3 91.55.53-41 36-25 77-16 5.75 0.99 7.75 0.95 08 41-6 0.84 51 94. 52. 56-84 54-14 62-70 15.49 1.35 39-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub 60-00 f \ 7.02 2. 00 \ \\ 4.00 0.76 \\ 30 20-8 g V 1.42 30 60-00 e \ 10. 21 i. oo 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [221] r Greenwich lean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for Oe-1 in Argument. .a >, II 1! Variation. Change for OS- 1 in Argument. Annual Equation. a Change for 08-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Excess of Ob- I served Ecliptic 1 N. P. D. Effect of Mean Inclination. Change for OS-} in Argument. Erection in E. N. P. D. 1809. " h 10 ' O I it a * < , g v % * o / // f ' \ \\ \ Oct. 15. 5.38.27-1 287. 56. 58-79 57-62 61-17 9.66 3.09 0.27 0.96 08 41-1 2.31 13 84. 44. 27-41 20-16 67-25 4.53 0.91 7-5 23. 12. 14. 44-2 37.21.33-84 30-62 63-22 12.24 1.30 4.12 0.80 54 40-3 0.28 17 91. 13. 1-35 0-71 60-64 11.58 1.87 22-7 24. 13. 1. 47-8 49.59.51-21 49-45 61-76 11.08 1.15 4.94 1.12 51 40-2 0.13 21 92. 18. 51-22 51-60 59-62 12.77 1.81 25-8 27. 15. 24. 28-8 87. 4. 13-34 0-22 73-12 6.70 0.97 6.98 1.50 25 39-6 0.02 34 94.42.26-61 22-34 64-27 15. 34 1.40 33-7 Nov. 15. 7. 3. 48-9 340. 30. 62-93 53-74 69-19 13.60 2.38 0.27 0.49 08 360 2.46 15 86. 24. 26-76 26-30 60-46 6.39 1.67 8-1 10. 7.51. 0-3 354. 0.28-63 24-10 64-53 13.97 2.12 0.48 0.22 14 35-7 2.25 12 87.23.42-14 43-15 58-99 7.50 1.79 7-5 17. 8.37. 7-6 7.11.53-96 44-03 69-93 13.95 1.86 0.87 0.05 22 35-3 2.00 10 88.30. 0-18 2-42 57-76 8.73 1,87 7-5 18. 9.22.52-0 20. 8. 2*7-28 13-70 73-58 13.57 1.02 1.41 0.00 32 35-0 1. 73 09 89. 39. 38-96 42-08 56-88 10.01 1.90 8-1 19.10. 8.46-2 32. 52. 66-52 51-78 74-74 12.84 1.41 2.08 0.10 42 34-8 1.45 08 90.49. 9-33 12-19 57-14 11.28 1.89 9-3 20.10.55. 11-1 45. 28. 24-86 7-42 77-44 11.82 1.24 2.83 0.31 49 34-5 1. 17 08 91. 55. 18-92 17-18 61-74 12.49 1.83 10-8 21.11.42.12-3 57. 55. 68-77 57-76 71-01 10.58 1.11 3.64 0.62 54 34-3 0.89 10 92.55. 2-07 1-81 60-26 13.57 1.73 12-9 24. 14. 7. 4-2 94.51.48-90 42-99 65-91 6. 12 0.98 6.02 1.44 40 33-5 0.24 18 94. 53. 30-29 28-75 61-54 15.68 1.26 20-7 26. 15. 40. 14-5 119.22.70-73 58-06 72-67 3.23 1.13 7.19 1.4." 20 32-7 0.02 26 95. 7.28-05 30-53 57-52 15.88 0.88 26-3 30.18.42. 2-1 170. 15. 44-75 38-05 66-70 0.06 1.90 7.60 0.37 11 31-6 0.28 43 92.47.47-40 46-36 61-04 13.18 0.23 36-6 Dec. 1. 19. 29. 33-4 183. 50. 28-50 18-44 70-06 0.10 2.17 7.25 0.15 18 31-3 0. 48 47 91.41.61-01 54-43 66-58 11.95 0. 14 38-2 11. 4. 8.170 321.21. 33-95 47-80 46-15 12. 17 2.78 0.90 1.42 22 28-0 2.70 39 85. 32. 31-99 26-22 65-77 6.28 J.45 23-2 12. 4. 59. 53-2 335. 46. 47-05 57-07 49-98 13.17 2.54 0.51 1.24 14 27-7 2.80 35 86. 17. 54-39 50-05 64-34 6.15 1.63 19-7 13. 5.48.44-7 349. 40. 39-73 44-65 55-08 13.79 2.28 0.28 0.97 09 27-4 2.83 30 87. 15. 4-17 0-73 63-44 7.24 1.77 16-5 14. 6.35.42-1 3. 6.42-50 46-22 56-28 14.01 2.02 0.23 0.66 07 27-0 2.81 26 88. 19. 34-35 36-35 58-00 8.47 1.86 13-7' 15. 7.21.37-4 16. 9.65-48 56-98 68-50 13.85 1.77 0.35 0.36 10 26-7 2.73 22 89. 27. 39-99 41-37 58-62 9.76 1.90 11-6 17. 8.53. 2-4 41.28.33-76 20-46 73-30 12.48 1.34 1.13 0.01 26 26-1 2.' 41 14 91.40.48-32 52-87 55-45 12.25 1.84 8-5 21.12. 3.41-2 90. 45. 9-75 6-99 62-76 7.07 0.97 4.06 0.77 54 24-4 1.38 08 94.41.51-26 48-97 62-29 15.60 1.30 8-5 22. 12.51. 0-0 103. 1. 6-69 7-05 59-64 5.54 0.99 4.88 1.10 51 24-1 1.09 09 94. 57. 58-17 56-38 61-79 15.89 1. 11 9-7 23. 13. 37.40-3 115.18.48-84 44-61 64-23 4.08 1.06 5.67 1.35 45 23-8 0.82 10 95. 0. 14-82 15-50 59-32 15.91 0.92 11-3 1810. Jan. 13. 6. 50. 37'3 37. 19. 40-41 38-78 61-63 13.04 1.46 0.26 0.51 08 16"2 2.81 34 91.34.13-62 15-58 58-04 11.99 1.86 20-7 14. 7.36.56-5 49. 49. 45-58: 43'48 62-10 12.09 1. 28 0. 4(i 0.24 13 15-8 2.83 29 92. 34. 20-37 15-51 64-86 13.14 1.77 17-7 15. 8.23.39-0 62. 9.64-67 58-59 66-08 10.90 1. 13 0.84 0.06 21 15-5 2.79 25 93.26. 2-80 5-65 57-15 14. 12 1.66 15-2 16. 9.10.48-2 74. 25. 18-05 7-60 70-45 9.52 1.04 1.37 0.00 31 15-2 2.70 20 94. 7.50-82 55-19 55-63 14.92 1.51 12-9 17. 9. 58. 13-9 86. 38. 63-01; 58-39 64-62 8.02 0.98 2.03 0.09 41 14-9 2.55 17 94. 38. 8-61 10-15 58-46 15.51 1.34 10-8 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 \ \\ 2.00 4.00 e \ 0.76 \\ 30 20-8 g \ 1.42 30 60-00 10. 21 \ \\ 1.00 23-7 ['222] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich - - W) jj Ecliptic C 2 - Mean Solar Time of Longitude of s4 ill "S > = c u v +* if O C fc. - 1 11 d _o | C ^ o 7 "^ c .2 II N.P.D. of lie o ?L =1 s ? = || 1* Observation of Moon's Limb. Moon's Center from Observation. ! "s.3 % Z * WO ^ w f ai y S< 6.s I! 2 1 u.S C \ \\ \ \v * ' g * Off/ ff it * \ \\ \ May 19. 12. 58. 13-5 252. 10.56-64 54-48 62-10 2.95 2.95 5. 11 1.19 50 6-8 2.74 38 85.37.40-17 36-48 63-69 5.28 0.55 31-8 21. 14.59.53-5 283. 9.24-39 17-72 66-67 6.23 3.17 6.58 1.51 32 7-3 2.83 29 84.52. 8-70 5-68 63-02 4.50 1.01 24-5 23. 16. 55. 13-4 313. 29. 38-50 35-88 62-62 9.71 3.08 7.51 1.29 14 8-0 2.69 20 85. 32. 52-90 51-98 60-92 5.32 1.46 17-2 26. 19.28.37-5 356. 23. 36-59 38-78 57-81 13.37 2.47 7.63 0.41 10 8-8 2.10 11 88.29. 8-36 6-30 62-06 8.66 1.87 9-7 27. 20. 16. 30-5 10. 1. 6-41 8-81 57-60 13.89 2.21 7.31 0. 18 17 9-1 1.84 09 89. 40. 69-72 67-59 52-13 10.01 1.90 8-3 June 10. 6.20.20-2 173. 54. 44-41 49-11 55-30 0.59 1.68 0.31 0.42 09 13-3 0.39 46 91.35.58-35 45-78 72-67 11.93 0.14 31-3 12. 7.54. 2-7 200. 32. 40-05 36-47 63-58 0.04 2.07 1.01 0.02 24 13-9 0.87 51 89. 15. 59-30 42-09 77-21 9.29 0.11 36-3 13. 8.44.54-3 214.30. 1631 15-21 61-10 0.35 2.34 1.59 0.01 34 14-2 1.15 52 88. 3.63-46 52-25 71-21 7.94 0.17 38-1 14. 9. 39. 17-4 229. 13. 11-40 13-04 58-36 1.05 2.59 2.28 0. 14 44 14-5 1.44 53 86.56.66-18 54-94 71-24 6.68 0.29 39-4 15. 10.37. 17-4 244. 21. 49-54 54-66 54-88 2. 12 2.83 3.06 0.39 51 15-1 1.73 52 86. 0. 34-36 24-50 69-86 5.63 0.46 40-0 16.11.38. 143 259. 56. 13-87 13-75 60-12 3.51 3.01 3.88 0.71 54 15-4 2.01 50 85. 19. 67-89 58-69 69-20 4.88 0.68 39-7 17.12.43. 4-5 275. 47. 20-87 17-74 63-13 5.15 3.13 4.71 1.04 52 15-7 2.26 48 85. 0.11-69 8-79 62-90 4.52 0.92 38-4 19. 14.44.42-8 307. 19. 33-86 35-14 58-72 8.66 3.14 6.22 1.48 37 16-4 2.65 41 85. 28. 44-42 40-49 63-93 5.09 1.40 33-7 20. 15.41.24-4 322.39. 5-27 8-16 57-11 10.31 3.03 6.83 1.51 27 16-7 2.77 37 86. 13. 18-08 14-27 63-81 5.95 1.60 30-4 July 7. 4. 17. 8-7 169. 19. 12-54 14-26 58-28 1.04 1.45 0.44 1.18 12 22-4 0.03 25 91. 43. 53-54 50-55 62-99 12.23 0. 16 15-2 9. 5.47. 8-5 195. 2.39-08 39-87 59-21 0.05 1.91 0.25 0.58 08 23-3 0.03 34 89. 29. 60-29 48-68 71-61 9.69 0.10 20-9 10. 6.35. 6-3 208. 28. 63-73 58-61 65-12 0.11 2.17 0.40 0.29 12 23-7 0.11 39 88. 20. 35-48 26-25 69-23 8.37 0.15 24-2 12. 8.20.40-3 236.55. 6-04 0-75 65-29 1.40 2.68 1.25 0.00 29 24-3 0.44 46 86. 16. 39-02 22-51 76-51 6.01 0. 39 30-9 13. 9. 18.51-4 251. 58. 18-74 14-67 64-07 2.60 2.90 1.88 0.06 39 24-6 0.68 49 85.31.42-67 26-47 76-20 6. 15 0.59 339 14. 10. 19. 55-2 267. 30. 50-85 42-37 68-48 4. 10 3.06 2.66 0.25 48 249 0.94 51 85. 4.45-01 36-94 68-07 4.62 0.81 36-6 19. 15.17.22-4 345. 56. 44-69 48-43 56-26 12.21 2.77 6.54 1.51 32 26-8 2.33 47 88. 4. 31-72 26-66 65-06 7.95 1.83 37-7 22. 17. 46. 57-0 28. 9.48-08 42-97 65-11 14.01 2.01 7.72 1.04 09 27-7 2.79 36 91.43.48-02 47-79 60-23 12.08 1.85 30-2 23. 18. 34. 53-9 41.20.37-83 31-99 65-84 13.84 1.76 7.77 0.73 07 28-3 2.83 31 92. 46. 25-90 2-2-57 63-33 13.27 1.76 27-3 Aug. 6. 4. 31. 7-2 203.48. 2-51 4-17 58-34 0.03 2.01 0.33 1.06 10 32-3 0.22 18 88.30. 11-49 5-82 65-67 8.69 0.13 10-0 9. 7. 5.34-1 245. 23. 33-48 36-19 57-29 1.82 2.77 0.55 0.18 15 33-3 0.00 31 85. 37. 17-43 4-63 72-80 5.41 0.51 17-5 10. 8. 3.16-9 260. 13. 23-46 20-32 63-14 3.14 2.97 0.97 0.03 24 33-6 0.04 36 85. 4.62-20 52-72 69-48 4.77 0.73 21-2 11. 9. 3.18-6 275. 30. 36-27 35-54 60-73 4.72 3. 11 1.55 0.01 34 33-8 0.15 40 84. 52. 29-30 19-68 69-62 4.50 0.96 24-7 17. 14.48. 31-1 8. 16. 29-49 32-87 56-62 13.40 2.44 6.22 1.48 38 35-5 1.61 52 90.11. 8-73 6-14 62-59 10. 27 1.90 39-9 19. 16.28. 41-4 36. 12. 34-56 32-62 61-91 13.99 1.91 7.31 1.41 18 30-0 2. 16 49 92. 35. 35-43 37-29 58-14 12. 95 1.79 39-2 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0*76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. 1. 00 Sub. 23-7 2.00 4.00 [224] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 3*4 a a = 8-5-s &* g SHJ g s fcl ij-s rSc o W C o SiJ I! 1 Change for 0-1 in Argument. Parallactic Inequality. Variation. Change for OS'l in Argument. 1-1 c - if Evection. Change for 0-1 I in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. s-S c =. . *a5 8!z 3s *.j P! ChnngeforOs-1 1 in Argument. S D .SSk |z K 1810. d h " ' o ' /' ft // * \ x\ \ \\ r N \ f x Q 1 II // ft g * > Aug. 20. 17. 17. 41-9 49. 29. 29-2 23-38 65-82 13. 68 1.67 7.63 1. IS 11 36-2 2.38 46 93. 33. 30-01 26-07 63-94 14.04 1.67 38-0 21. 18. 6.20-9 62. 24. 24-6 18-91 65-70 13.02 1.45 7.70 0. 90 08 36-4 2.58 43 94. 18. 44-35 41-00 63-35 14.90 1.51 36-3 22. 18. 54. 42-8 75. 2. 21-3C 15-51 65-79 12.05 1.27 7.73 0.58 08 36-6 2.72 39 94. 50. 19-25 15-20 63-99 15.50 1.34 34-1 23. 19. 42. 42-8 87.28. 6-08 4-32 61-77 10.85 1. 13 7.51 0.30 13 37-0 2.81 34 95. 7.3675 35-20 61-55 15.85 1.15 31-8 Sep. 7. 6.51.41-0 269.25. rOC 2-0 1 ) 58-93 3.72 3.03 0.40 0.31 11 39-6 0. Ife 19 84. 46. 50-56 44-05 66-51 4.54 0.89 10-1 8. 7. 50. 10-3 284.23. 6-28 11-08 55-20 5.36 3.14 0.75 0.08 19 39-8 0.07 23 84. 48. 37-43 26-30 71-13 4.55 1.12 12-4 9. 8.48.55-6 299. 37. 33-25 36- 1-J 57-08 7. 13 3.18 1.25 0.00 28 40-0 0.01 28 85. 11. 56-85 50-35 66-50 4.95 1.35 !l5-4 10. 9.46.56-4 315. 1.44-33 44-22 60-11 8.88 3.13 1.88 0.05 39 40-1 0.01 32 85.56.11-11 5-83 65-28 5.74 1.56 18-9 12. 11. 38. 28-7 345.45.42-11 37-68 64-42 11.90 2.83 3.41 0.52 53 40-3 0. IS 41 88. 12. 49-35 46-14 63-21 8.20 1.84 20-3 14.13.26.14-3 15.31. 2-51 3-72 58-79 13.68 2.34 5.05 1. 10 50 40-5 0.5- 48 90. 54. 54-27 53-49 60-78 11. 14 1.89 32-9 22. 19. 58. 20-3 119.42.50-63 50-22 60-41 7.39 0.97 7.37 0.20 16 41-3 2.62 42 94. 49. 38-49 29-48 69-01 15.45 0.64 37-5 23. 20. 43. 46-7 131.57.61-47 54-98 66-49 5.86 0.98 6.91 0.07 25 41-4 2.75 38 94. 15. 48-47 30-48 77-99 14.83 0.47 35-8 Oct. 4. 4.46.28-8 264. 51. 34-56 24-60 69-96 2.80 2.93 0.34 1.07 10 41-6 1.27 08 84. 48. 23-75 19-07 64-68 4.59 0.84 9-1 5. 5.43.28-9 279. 26. 47-47 43-99 63-48 4.33 3.08 0.23 0.76 07 41-6 0.99 09 84. 43. 43-56 34-38 69-18 4.51 1.07 7-9 6. 6.40.35-4 294.12. 0-86 1-62 59-24 6.03 3.17 0.29 0.45 09 41-6 0.73 11 84. 59. 33-27 25-97 67-30 4.81 1.29 7-4 7. 7.37. 0-4 309. 4.22-12 22-82 59-30 7.80 3.17 0.53 0.19 15 41-5 0.49 13 85. 35. 32-64 25-16 67-48 5.47 1.50 7-8 8. 8. 32. 13-6 324. 0.13-89 12-93 60-96 9.52 3.10 0.94 0.03 23 41-5 0.29 17 86. 29. 23-25 22-70 60-55 6.45 1.68 SCO 9. 9.26. 7-4 338. 65. 25-95 22-92 63-03 11.07 2.95 1.50 0. 01 33 41-4 0. 14 20 87. 37. 28-21 33-39 54-82 7.70 1.81 10-8 12.12. 4.23-6 22. 51. 16-53 12-90 63-63 13.85 2.24 3.82 0.67 54 41-3 0.02 34 91.34. 3-85 9-39 54-46 11.99 1.86 19-7 13. 12.55.34-3 36.57.63-31 49-98 73-33 14.01 1.98 4.65 1.01 53 41-2 0.09 38 92. 44. 57-80 59-40 58-40 13.27 1.76 22-9 14. 13. 46. 33-5 50.43.39-79 37-58 62-21 3.79 1.73 5. 45 1.29 47 41-2 0.23 42 93.44.21-51 22-07 59-44 14.33 1.62 26-3 15. 14. 37. 16-8 64. 7.50-76 44-81 65-95 13.21 1.50 6.17 1.47 38 41-1 0.41 46 94.29.38-81 42-37 56-44 15.14 1.45 29-5 16. 15. 27. 27-7 77. 11.10-18 2-08 68-10 2.32 1.31 6.79 1.51 28 41-0 0.63 49 94. 59. 44-77 42-03 62-74 15.67 1.27 32-2 21. 19. 22. 36-0 39.14.45-31 45-15 60-16 5.29 1.00 7.53 0.32 12 40-5 2.03 50 93. 47. 50-80 43-73 67-0-7 14.27 0.37 39-9 22.20. 6.52-7 51.35. 12-08 10-61 61-47 3.84 1.08 7. 16 0.13 20 40-4 2.28 48 92. 55. 56-34 49-31 67-03 13.31 0.24 40-0 Nov. 5. 7.20.32-3 333. 50. 39-17 33-77 65-40 10.14 }. 05 0.38 0.32 11 38-2 1.19 08 87. 18. 17-66 15-98 61-68 7.38 1.78 8-6 6. 8. 12. 5-9 348.18.49-26 45-84 63-42 11.59' 2.88 0.72 0. 10 18 38-0 0.91 09 88.30. 7-97 5-53 62-44 8.71 1.87 7-7 8. 9.52.53-9 16.49.17-12 12-59 64-53 13.54' 1. 41 1.83 0.05 38 37-6 0.43 14 91. 3.21-70 25-25 56-45 11.54 1.88 8-0 12. 13. 17. 12-7 71.24. 18-87 17-55 61-32 12. 90 1. 43J 5.00 1.15 50 36-6 0.00 30 94. 42. 53-39 52-09 61-30 5.53 1.33 15-0 Sub Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 K \ 7. 02 ; \\ !. 00 4.00 0. 76 30 20-8 g \ 1.42 u 30 eo'-oo s \ 10.21 V *\ .00 23 % "i SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [225] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. t; u 111 ie| >J Excess of Observed Longitude. >~, O ^ 'a/" If Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. Change for fle-1 1 in Argument. Annual Equation. Evection. Change for s ' 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Excess of Ob- served Ecliptic N. P. D. Effect, of Mean Inclination. Change for 0- 1 1 in Argument. -d Jfc az Bed 810. d '' m ' o / // " // s * \ \\ \ XV s * \\ \ g v ota II II e x \ \\ i fov. 16.16.31. 14-6 1-21.55.24-07 14-15 69-92 7.77 0.98 7.44 1.34 15 35-5 0.46 47 94. 32. 37-96 35-97 61-99 15.22 0.57 27-5 )ec. 1. 4.23.37'S 314. 42. 46-67 47-87 58-80 7.39 3.18 0.63 1.32 16 31-6 2.61 18 86. 12. 25-61 20-71 64-90 6.00 1.61 24-7 2. 5. 17. 50-6 329. 29. 55-71 57-21 58-50 9. 13 3.12 0.34 1.08 10 31-0 2.43 14 87.11.28-82 23-98 64-84 7.13 1.76 21-2 6. 8.38.28-8 26. 0.69-36 58-71 70-65 13.75 2.30 0.94 0.04 23 29-8 1.40 08 91.58.32-65 39-64 53-01 12.56 1.82 10-0 7. 9.27.39-7 39. 35. 35-09 26-17 68-92 14.01 2.04 1.50 0.01 33 29-5 1.11 09 93. 0.43-12 46-22 56-90 13.72 1.71 8-5 8. 10. 17. 16-3 52.58.44-09 38-00 66-09 13.88 1.79 2.18 0.11 43 29-2 0.84 10 93. 51. 49-34 50-07 59-27 14.68 1.56 7-7 9.11. 7.17-0 66. 10. 43-98 36-68 67-30 13.38 1.56 2.94 0.34 50 28-9 0.59 12 94.29.31-83 33-53 58-30 15.38 1.39 7-4 11.12.49.14-2 92. 0.33-48 25-39 68-09 11.46 1.19 4.59 0.99 53 2S-0 0.21 18 95. 0.23-48 19-10 64-38 15.93 0.99 8-8 14. 15. 11. 13-7 129. 18.58-19 50-91 67-28 7.18 0.97 6.75 1.52 29 27-0 0.00 31 93. 58. 30-80 28-35 62-45 14.73 0.45 14-1 15. 15. 55. 45-4 141.29.62-23 54-33 67-90 5.66 0.99 7.25 1.43 19 26-7 0.05 36 93. 14. 6-68 7-31 59-37 13.89 0.31 16-5 16.10.39.16-9 153.39.62-57 53-45 69-12 4. 19 1.05 7.60 1.23 12 26-4 0. 15 40 92. 20. 57-56 52-84 64-72 12.88 0.20 19-2 18.18. 5.41-4 178. 18.70-01 57-80 72-21 1.71 1.32 7.74 0.63 08 25-4 0.52 47 90. 15. 60-61 56-71 63-90 10.51 0.10 25-0 19.18.50. 3-1 191. 0.45-91 39-13 66-78 0.83 1.51 7.58 0.34 12 25-1 0.76 50 89. 8.66-65 54-02 72-63 9.24 0.11 28-0 21.20.25.1TO 217. 39. 36-52 30-15 66-37 0.03 1.98 6.71 0.05 29 24-4 1.32 53 87. 0.44-56 29-82 74-74 6.80 0.28 33-7 30. 4. 4. 49-5 338. 59. 43-90 51-49 52-41 9.76 3.08 0.87 1.40 21 21-5 2.83 30 88.11.21-92 22-77 59-15 8.10 1.84 33-7 31. 4.57. 6-3 353.42. 6-41 12-28 54-13 11.26 2.92 0.48 1.22 13 21-1 2.80 25 89. 26. 47-51 47-56 59-95 9.53 1.89 30-6 [811. Ian. 0. 9.52.58-9 74.48. 7-12 2-94 64-18 13.11 1.48 1.78 0.04 38 18-8 1.60 08 94. 51. 17-47 18-66 58-81 15.73 1.24 12-6 8. 11.30.57-8 100. 6. 50-30 47-98 62-32 10.99 1.14 3.29 0.48 52 18-1 1.04 09 94. 55. 40-67 35-17 65-50 15.85 0.84 9-0 11.13.52.31-0 137. 7.23-91 22-94 60-97 6.61 0.97 5.72 1.37 44 16-8 0.33 16 93. 20. 36-02 31-03 64'99 14.11 0.34 7-5 14. 16. 2. 18-4 173. 40. 51-32 46-86 64-46 2.39 1.22 7.42 1.35 15 15-8 0.01 28 90.24.38-17 33-36 64-81 10.83 0.10 10-5 15. 16. 45. 27-0 186. 3.36-10 29-28 66-82 1.35 1.38 7.69 1.10 09 15-5 0.01 33 89. 18. 37-01 28"25 68-76 9.58 0.10 12-4 18.19. 4.55-1 225. 5.21-81 8-38 73-43 0. 05 2.08 7.42 0.23 15 14-2 0.36 45 86. 16. 35-27 26-95 68-32 6. 13 0.37 20-4 19.19.57.14-1 239. 2.49-92 37-15 72-77 0.36 2.34 6.98 0.08 24 13-9 0.58 48 85. 32. 43-37 40-57 62-80 5.28 0.55 24-0 28. 3.40. 2-0 2. 17. 35-74 44-50 51-24 11.77 2.85 1.13 1.45 26 11-2 2.63 42 90. 26. 27-70 28-25 59-45 10.53 1.90 39-3 29. 4. 31. 30-9 16.51. 13-62 17-48 56-14 12.88 2.62 0.66 1.33 17 10-9 2.75 37 91.43. 7-51 10-44 57-07 11.97 1.86 37-9 Feb. 1. 7. 1. 9-9 57. 51. 24-87 21-00 63-87 13.94 1.85 0.28 0. 48 09 10-0 2.78 24 94. 29. 12-36 14-18 58-18 15. 12 1.46 30-9 3. 8.39.25-8 83.33. 4-12 3-62 60-50 12.78 1.40 0.90 0.04 22 9-2 2.52 16 95. 8.23-76 22-44 61-3-2 15.91 1.08 25-0 4. 9.27.57-8 96. 5. 27-06 28-80 58-26 11.75 1.23 1.46 0. 00 32 8-9 2.31 13 95. 5. 14-78 15-78 59-00 15.89 0.88 21-9 5. 10. 15.43-7 108.29.31-11 30-04 61-07 10.49 1.10 2.13 0. 10 42 8-6 2. 08 10 94. 47. 49-94 46-87 63-07 15.60 0.70 19-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7*. 02 2. 00: 4. 00 0. 7 May 11.15. 10.43-4 / // 276. 5.26-98 ft 14-49 tt 72-49 1.59 * \\ 2.73 \ \\ 6.91 1.50 26 I 4-8 g x 2.13 11 o ' 85. 0.13-20 ft 11-10 tt 62-10 4.63 1.19 26-3 12. 16. 7. 29-1 290. 38. 56-05 51-79 64-26 2.85 2.93 7.37 1.37 16 5-0 1.87 09 85.25. 3-14 2-70 60-44 5.12 1.41 22-7 13. 17. 3. 39-2 305. 17. 14-45 15-28 59-17 4.38 3.09 7.67 1.13 10 5-2 1.59 08 86. 7.60-97 57-26 63-71 5.94 1.60 19-2 14. 17. 58. 35-8 319. 57. 29-42 33-11 56-31 6.09 3.17 7.78 0.83 07 5-6 1.30 08 87. 6. 9-27 12-61 56-66 7.05 1.75 15-9 16. 19. 44. 30-6 349.16.44-93 58-76 46-17 9.57 3.09 7.44 0.25 14 6-1 0.76 11 89. 32. 17-19 21-63 55-56 9.81 1.90 10-5 31. 7. 10. 18-0 175. 45. 38-37 44-88 53-49 3.82 1.08 0.46 0.25 13 10-1 1.71 52 89. 46. 17-32 2-17 75-15 9.90 0.10 32-2 June 2. 8. 38. 16'2 200. 56. 10-83 18-44 52-39 1.45 1.36 1.37 0.00 31 10-7 2.24 48 87. 38. 17-83 5-96 71-87 7.49 0.21 36-6 3. 9.24.53-7 214. 1.41-60 44-21 57-39 0.64 1.56 2.03 0.08 41 11-0 2.46 45 86.41.27-61 12-42 75-19 6.41 0.33 38-2 4. 10. 14. 8-2 227. 31. 54-45 58-23 56-22 0.15 1.80 2.77 0-29 49 11-3 2.63 42 85. 53. 56-18 40-06 76-12 5.52 0.49 39-4 5.11. 6.21-0 241. 27. 51-45 58-07 53-38 0.04 2.05 3.58 0.59 53 11-5 2.76 37 85. 19. 23-89 10-80 73-09 4.87 0.68 40-0 6.12. 1.27-1 6.12. 3.46-7 255. 48. 5-05 255. 49. 28-34 4-17 25-33 60-88 03-01 0.31 0.31 2.32 2.32 4.42 4.42 0.92 0.92 53 53 12-1 12-1 2.82 2.82 33 33 85. 1.20-72 85. 1.20-03 10-52 9-71 70-20 70-32 4.53 4.53 0.90 0.90 39-8 39-8 7.13. 1. 7-6 270. 29. 25-29 18-90 66-39 0.99 2.58 5.23 1.22 49 12-4 2.83 28 85. 2. 16-77 11-78 64-99 4.56 1.13 38-9 14. 19. 24. 19-8 13. 51. 54-02 48-57 (65-45) 11.62 2.87 7.61 0.38 11 14-8 1.51 08 91.53.30-78 53-79 (36-99) 12.37 1.83 18-2 25. 3.39.36-1 146. 29. 58-59 63-02 55-57 7.73 0.98 0.97 1.43 23 18-2 0. 11 39 92. 2.52-59 43-84 68-75 12.61 0.18 11-5 28. 5.48.17-1 183. 2.38-38 40-30 58-08 3.31 1. 12 0.22 0.69 07 19-2 0.66 49 88. 52. 43-07 28-89 74-18 9.03 0.12 18-7 July 8. 14. 41. 22-2 324. 37. 29-76 28-34 61 -42 5.67 3.16 6.31 1.49 36 23-0 2.83 32 87. 52. 48-32 49-18 59-14 7.71 1.81 39-6 11.17.21.54-0 9.29. 6-93 3-44 63-49 10.77 2.98 7.65 1.15 10 24-0 2.63 18 91.46.32-65 35-70 56-95 12. 09 1.85 33-9 27. 5. 10. 55-0 203. 4.48-51 43-87 64-64 1.68 1.32 0.25 0.86 08 29-2 0.14 40 87. 1.43-65 32-38 71-27 7.05 0.25 10-1 28. 5.55.57-8 215. 45. 39-62 35-11 64-51 0.81 1.51 0.26 0.55 08 29-5 0.29 44 86. 9.69-47 50-40 73-07 6.08 0.38 12-0 Aug. 2.10.23.45-6 286. 2.33-23 32-19 61-04 1.74 2.76 2.71 0.27 48 31-2 1.57 52 85. 25. 49-25 4663 62-62 5.11 1.40 27-5 6. 14. 20. 8-1 348.30. 19-81 28-25 51-56 8.11 3.16 5.92 1.43 41 32-3 2.56 43 90. 4.54-96 57-21 57-75 10.16 1.90 38-8 9. 16. 59. 24-7 33. 17. 37-93 38-75 59-18 12.53 2.71 7.51 1.28 13 33-3 2.83 30 93. 44. 36-74 42-80 53-94 14.22 1.64 39-4 30. 9. 4.581 293. 34. 31-95 32-03 59-92 2.20 2.84 1.59 0.02 35 38-2 0.55 48 85. 43. 55-70 56-73 58-97 5.57 1.53 14-3 31.10. 4. 1-1 308. 55. 30-67 31-53 59-14 3.60 3.02 2.33 0.15 44 38-5 0.80 50 86. 42. 36-84 43-86 52-98 6.63 1.70 17-5 Sep. 1.11. 2.50-2 324. 35. 28-32 26-93 61-39 5.24 3. 14 3. 12 0.41 51 38-7 1.07 52 87. 57. 16-71 20-37 56-34 7.97 1.83 21-2 2. 12. 0. 40-2 2. 12. 3. 1-0 340. 24. 26-64 340. 25. 58-34 29-19 58-70 57-45 59-64 7.00 7.00 3. 18 3. 18 3.94 3.94 0.73 0.73 54 54 38-8 38-8 1.36 1.36 53 53 89.21.57-71 89.22. 6-98 62-73 11-03 54-98 55-95 9.50 9.50 1.89 1.89 25-2 252 4. 13. 54. 50-9 11.47.59-66 63-33 56-33 10.40 3.02 5.56 1.33 46 39-1 1.94 51 92. 12. 19-01 22-60 56-41 12.57 1.82 32-4 5. 14. 49. 10-6 27. 2. 5.36 14-56 50-80 11.80 2.84 6.27 1.49 37 39-3 2.20 49 93. 23. 41-85 47-89 53-96 13.87 1.69 35-2 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. g \ 0.76 Sub. 30 Sub. 20-8 Sub. e \ 1.42 Sub 30 Sub. 60-00 Sub. 10.21 Sub 1. 00 Sub. 23-7 2.00 4.00 2 [G] -2 REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. -J-S III o n t H c C/2~ Q o Excess of Observed Longitude. .SitT 11 9 1 Se . O *J ll If 8.1 Parallactic Inequality. Variation. Change for 0? - 1 1 in Argument. Annual Equation. Evection. Change forO'l in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds nf Tabular Ecliptic 1 N.P. D. Excess of Ob- served Ecliptic 1 N.P. D. Effect of Mean Inclination. Change for 0"'l 1 in Argument. "0 .2 3^ fz KM 1811. d h m s o r it ft ft s v > > g - g v O / tt // H x " , ,> '< Sep. 6. 15. 42. 47-8 41.50. 2-21 11-78 50-43 12.91 2.61 6.87 1.51 26 39-4 2.43 46 94. 19. 18-80 25-71 53-09 14.87 1.52 37-6 7.16.35.51-1 56. 9.23-06 30-33 52-73 13.65 2.36 7.34 1.39 17 39-7 2.61 42 94. 56. 46-77 53-13 53-64 15.55 1.32 39-0 10. 19.10.31-6 96.27. 9-21 11-71 57-50 13.51 1.60 7.72 0.55 09 40-1 2.83 29 95. 0.45-48 35-43 70-05 15.61 0. 70 39-5 24. 5. 2.55-5 259. 7.48-27 50-10 58-17 0.13 2.19 0.25 0.88 08 41-4 0. 16 20 84.43.23-15 11-57 71-58 4. 50 1 . 04 0-7 27. 7.48.37-6 301.45. 13-08 11-22 61-86 2.69 2.91 0.78 0.08 20 41-5 0.01 33 86.13.51-90 54-93 56-97 6.20 1.64 7-5 28. 8.45.39-0 316. 47. 12-26 11-59 60-67 4.20 3.07 1.29 0.00 29 41-5 0.08 38 87. 19. 10-83 17-67 53-16 7.40 1.78 8-3 29. 9.42.30-6 332. 9.39-80 38-83 60-97 5.89 3. 16 1.93 0.06 40 41-5 0.21 42 88. 37. 28-82 32-13 56-69 8.82 1.87 10-0 30. 10. 39. 53-4 347.46. 2-48 5-13 57-35 7.6b 3.17 2.66 0.26 48 41-6 0.39 46 90. 2.53-36 57-88 55-48 10.38 1.90 12-4 Oct. 1.11.34.45-9 3. 27. 40-54 45-12 55-42 9.38 3.10 3.46 0.55 53 41-6 0.61 49 91.28.29-84 31-59 58-25 11.93 1.86 15-4 2. 12. 32. 34-2 19. 6. 1-96 6-89 5507 10.95 2.96 4.30 0.89 54 41-6 0.87 51 92. 46. 68-28 62-13 56-15 13.34 1.75 18-9 7.17. 3.48-3 91.32. 10-14 17-19 52-95 13. 82 1.74 7.51 1.30 14 41-5 2.27 48 95. 4.45-51 46-17 59-34 15.72 0.75 35-2 23. 4.46.16-2 282. 24. 55-79 52-94 62-85 0.89 2.55 0.33 1.04 09 40-4 0.68 11 85.21.28-24 24-06 64-18 5.14 1.41 17-0 25. 6.36. 5-5 310. 55. 54-76 57-82 56-94 3.23 2.98 0.31 0.4-2 09 40-0 0. 26 17 87. 0. 10-36 11-71 58-65 7.02 1.75 115 29. 10. 13. 44-3 11. 5.45-89 49-39 56-50 10.00 3.06 2. 29 0. 14 44 39-5 0.03 34 92. 9.32-36 37-20 55-16 12. 78 1.80 7-7 Nov. 4. 15. 44. 48-0 98. 56. 44-33 45-66 58-67 13. 65 1.65 6.83 1.51 27 38-4 1.23 52 94.41.29-70 29-11 60-59 15.41 0.63 22-4 5. 16. 35. 52-1 112. 6.49-25 49-49 59-76 12.97 1.44 7.31 1.40 18 38-2 1.52 53 94. 6.25-37 23-15 62-22 14. 73 0.45 25-8 10. 20. 21. 21-2 173.52. 7-55 3-33 64-22 6.35 0.98 7.12 0.11 21 37-0 2.68 40 89. 14. 60-93 52- 12 68-81 9.22 0.11 37-6 20. 3.37.33-9 292. 18. 1 1-57 4-87 66-70 1.23 2.64 0.81 1.38 20 34-8 1.71 08 86. 2. 14-25 0-51 73-74 5.76 1.56 29-9 21. 4.32.24-3 300.33.21-14 22-26 58-88 2.37 2.87 0.44 1.18 12 34-5 1.43 08 86. 55. 28-22 28-40 59-82 6.78 1.72 26-5 22. 5.26.30-3 320. 56. 54-14 55-23 58'91 3.82 3.04 0.26 0.90 08 34-3 1. 14 08 88. 1. 8-13 10-76 57-37 8.03 1.83 23-2 24. 7. 12. 7-5 350. 7.24-10 23-13 60-97 7.23 3.18 0.40 0.29 12 33-5 0.62 12 90. 32. 39-58 43-86 55-72 10.91 1.89 16-3 30. 12. 36. 43-4 78. 25. 61-34 56-02 65-32 14.00 2.06 4.30 0.87 54 31-9 0. 05 36 94. 59. 17-64 14-10 63-44 15.91 0.91 7-8 Dec. 2. 14.24.27-2 106. 1.36-80 29-79 67-01 13.43 1.57 5.87 1.41 42 31-0 0.30 44 94.12. 4-74 2-34 62-40 15.00 0.51 10-a 4. 16. 3. 43-6 132. 0.11-17 6-26 64-91 11.55 1.20 7.09 1.48 22 30-4 0.75 50 92. 33. 56-20 52-67 63-53 13.14 0. 23 15-( 5. 16. 49. 46-1 144.29.33-52 24-76 68-76 10.26 1.08 7.49 1.31 14 30-1 1.02 52 91. 33. 48-46 43-93 64-53 11.99 0.14 17 .r 6. 17. 33. 52-7 156. 45. 35-72 33-29 62-43 8.83 1. 00 7.72 1.05 09 29-8 1.31 53 90.30.13-81 8-76 65-05 10.79 0. 10 20-' 8. 18. 59. 8-6 181. 3.45-09 43-78 61-31 5.78 0.99 7.64 0.44 10 29-2 1.88 51 88. 22. 68-90 55-19 73-71 8.38 0. 15 26-: 22. 6. 1.24-3 0.21.47-87 48-87 59-00 7.90 3.17 0.22 0.75 07 24-4 1.63 08 91.41.38-35 39-78 58-57 12.05 1.85 29- 23. 6.52.37-0 14. 54. 55-20 56-43 58-83 9.61 3.09 0.30 0.44 09 24-1 1.35 08 92. 50. 28-74 32-08 56-66 13. 35 1.75 25- Sub. GO'-OO; Sub. 7. 02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 0.21 Sub. }. 00 Su 23- ! 2.00 4. 00 - SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [229] Greenwich ~~ * r - - Ecliptic - 'H o 7* Mean Solar Time of Longitude of III 5 a* I il ^2.*e3 $! CJ '^ ^ a o c II P 2.9 | 1^ & E N. P. D. of i d / a. . ' * c 5g-3 = a ~ a = *A O Q_ Observation of Moon's Center from 5 .* Tu **j 1 1 '1 "2j If II > 0> 3 gito 1< B K C 3 < W U U w 8,5, !< Moon's Center from If* E|z III ^ u 8.1 l< .55 *** O ~-f CJ f > ,= Moon's Limb. U . Observation. c 5 .2 u.S 3 s Observation. p 3 si ~ 6.s C U ill d h nt or" n . g * o / // n " e * \ \\ > Dec. 25. 8.36. 7'5 43. 50. 24-90 28-8-2 56-08 2.40 2.73 0.97 0.03 24 23-1 0.80 10 94. 30. 45-39 46-27 59-12 15.28 1.42 18-7 27. 10. 23. 3-6 72. 19. 30-99 29-32 61-67 13.87 2.23 2.23 0. 13 43 22-5 0.34 16 95. 2.56-05 51-28 64-77 15.93 9.98 12-8 1X12. Jan. 1.14.42.29-7 139. 6. 47-45 37-86 69-59 11.091.15 6.17 1.47 38 20-5 0.07 37 91.47.40-01 29-77 70-24 12. 37 0. 17| 7-6 2. 15. 27. 53-9 151.34.44-84 34-45 70-39 9.74 1.05 6.79 1.51 28 20-1 0.18 41 90. 42. 59-63 52-07 67-56 11.16 0.11 8-3 3. 16.11. 32-3 163. 50. 50-85 38-86 71-99 8.26 0.99 7.28 1.42 18 19-8 0.35 45 89. 37. 12-79 3-97 68-82 9.94 0.10 9-4 5.17.36. 9-0 188. 8.53-18 38-89 74-29 5.21 1.00 7.76 0.91 08 19-1 0.81 50 87. 32. 37-26 25-83 71-43 7.60 0.20 13-1 7.19. 2.21-6 212.48.49-13 41-71 67-42 2.49 1.21 7.53 0.32 13 18-5 1.38 53 85. 52. 66-69 54-54 72-15 5.71 0.45 18-2 8.19.48. 3-2 225. 32. 26-93 20-70 66-23 1.42 1.37 7.16 0. 12 20 18-1 1.67 52 85. 18.37-18 29-94 67-24 5.04 0.62 20-9 19. 4.49.58-6 10. 28. 36-81 36-13 60-68 8.57 3.15 0.44 1.19 12 14-2 2.53 16 92. 44. 4-54 8-76 55-78 13.10 1.78 38-6 21. 6.33.19-7 39. 31. 24"21 22-69 61-52 11.66 2.87 0.25 0.60 08 13-6 2.10 11 94. 31. 59-88 67-46 52-42 15.14 1.46 34-3 23. 8. 17.54-2 67. 40. 49-22 48-00 61-22 13.58 2.39 0.75 0.09 19 13-0 1.55 08 95. 11.27-12 27-15 59-97 15.93 1.04 28-5 24. 9.10.45-7 81. 25. 18-51 16-58 61-93 13.97 2. 12 1.25 0.00 28 12-7 1.27 08 95. 3.48-78 45-88 62-90 15. 82 0.82 25-2 26. 10. 55. 12-7 108. 12. 10-93 2-62 68-31 13.57 1.62 2.60 0.23 47 11-8 0.73 11 93. 59. 57-80 54-05 63-75 14.70 0.44 18-9 27.11.45.29-3 121.13. 43 -12 40-32 62-80 12. 85 1.41 3.41 0.52 53 11-5 0.49 13 93. 8.48-69 39-36 69-33 13.79 0. 30 16-1 28. 12. 35. 59-9 134. 2. 9-52 4-13 65-39 11.84 1.24 4.24 0.85 54 11-2 0.29 16 92. 8.40-89 34-41 66-48 12.70 0.19 13-5 29.13.22.18-1 146. 35. 60-37 58-93 61-44 10. 60 1. 11 5.05 1.16 50 10-9 0.14 20 91. 3. 15-15 9-34 65-81 11.52 0.12 11-3 30. 14. 6. 46-4 158. 58.25-30 25-82 59-48 9.19 1.02 5.82 1.39 43 10-fa 0.04 24 89. 55. 49-80 34-19 75-61 10. 28 0. 10 9-7 Feb. 1.15.32. 54 183.21. 13-24 6-84 66-40 6. 15 0.98 7.06 1.48 23 10-0 0.02 34 87. 45. 55-64 39-36 76-28 7.90 0.18 7-7 2. 16. 14. 11-2 195. 29. 55-23 38-49 76-74 4.66 1.03 7.47 1.33 15 9-5 0.09 38 86. 48. 44-9'- 30-58 74-34 6.85 0.27 7-4 18. 5.21.29-7 49. 13. 58-43 58-33 60-10 12. 14 2.78 0.34 1.07 10 5-2 2.76 23 95. 0.40-2-2 43-27 5695 15.61 1.30 40-0 20. 7. 7.29-6 77. 17. 56-35 60-17 56-18 13.78 2.29 0.29 0.45 09 4-8 2.48 15 95. 13.41-7o 40-12 61-63 15.87 0.86 38-3 21. 7.59.56-8 90.48.30-70 33-44 57-26 14.01 2.02 0.53 0. 19 15 4-6 2.27 12 94. 53. 17-02 12-84 64-18 15.51 0.66 36-6 22. 8.51.27-7 104. 0.45-23 40-61 58-62 13.86 1.77 0.94 0.03 23 4-4 2.03 10 94. 17.37-1C 32-76 64-40 ,14. 87 0.48 34-5 24. 10. 29. 58-8 129.39.37-98 34-10 63-88 12.50 1.34 2.18 0.12 43 4-0 1.48 08 92. 31. 46-20 32-19 74-07 i!2. 97 0.21 29"2 25. 11.16.33-2 142. 10. 47-73 47-98 59-75 11.38 1.18 2.94 0.36 50 3-6 1.19 08 91.27.24-63 14-00 70-63 11.80 0.13 26-3 26. 12. 1. 25"2 154. 32.49-13 55-00 54-13 10.08 1.07 3.76 0.67 54 3-4 0.92 09 90. 19. 43-04 33-59 69-45 10.58 0.10 23-5 27. 12. 46. 56-2 166.49. 5-45 9-58 55-87 8.63 1.00 4.59 1.00 53 3-2 0.66 11 89. 11.40-48 29-80 70-69 9.35 0. 11 20-7 28. 13. 29. 27-2 178. 59. 50-19 54-23 55-96 7. 1C 0.97 5.4( 1.28 47 3-0 0.44 14 88. 6.18-83 9-46 69-37 8.17 0.16 17-7 1 Mar. 2.15.37. 5-2 215.34.53-62 44-84 68-78 2.7! 1.17 7.2o 1.43 19 2-5 0.03 26 85.31.46-60 38-88 67-72 5. 3S 0. 52 11-0 Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub. Sub. u f > \ \\ ^ v K \ ( K \ xx \ \ \* \ 60-00 7. 022. 00 4.00 0.76 30 20-8 1. 42 30 60-00 10.21 1.00 23-7 [230] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation, Seconds of Tabular Longitude. Excess of Observed Longitude. it Hf Change for 08-1 1 in Argument. Parallactic Inequality. CS Change for OS- 1 1 in Argument. Annual Equation. Evection. Change for OS- 1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Excess of Ob- 1 served Ecliptic N.I'. 1). ?s! Change for Os- 1 in Argument. _B . .20; i* KM 1812. * Mar. 4. 17. 8. 17'3 o / n 240. 37. 64-98 57-93 n 67-05 0.78 \ \\ 1.52 \ \\ 7.75 g 0.93 v\ 08 2-1 s 0.03 H 35 o / // 84.44.57-12 it 49-25 67-87 s ' 4.54 \ \\ 0.89 8-2 21. 7.38.44-7 112.56.20-40 21-73 58-67 13.70 1.68 0.38 0.32 11 0-3 2.74 22 93. 43. 47-73 44-68 63-05 14. 19 0.35 40-0 22. 8.27.39-6 125. 42. 10-80 10-21 60-59 13.05 1.46 0.72 0.10 18 0-2 2.61 18 92. 48. 52-35 52-06 60-29 13.18 0.23 39-7 25. 10. 43. 14-2 162.46. 12-03 3-69 68-34 9.55 1.04 2.55 0.22 47 0-1 1.96 10 89. 33. 52-61 46-89 65-62 9.61 0.10 35-8 26.11.25.50-9 174.55.46-82 49-73 57-09 8.06 0.98 3.35 0.49 52 0-1 1.69 08 88. 28. 27-18 14-88 72-31 8.42 0.15 33-7 April 15. 3. 44. 16-4 80.27.21-20 16-66 64-54 13.66 2.35 1.13 1.45 25 0-7 2.17 49 94.59.51-98 58-71 53-27 15.74 0.77 26-0 17. 5.32.42-9 108.10. 3-62 2-55 61-07 13.93 1.83 0.35 1.08 10 0-9 2.59 43 93. 51. 61-34 55-09 66-25 14.42 0.39 32-2 19. 7.11.41-2 134. 1.54-60 53-60 61-00 12.73 1.39 0.28 0.47 09 1-2 2.81 34 91.59.39-12 33-17 65-95 12.31 0.16 36-7 20. 7.57.36-2 146. 28. 59-49 55-95 63-54 11.68 1.22 0.51 0.20 14 1-3 2.83 30 90. 55. 23-51 14-39 69-12 11.10 0.11 38-3 21. 8.41.40-1 158.44.31-81 24-69 67-12 10.41 1.09 0.90 0.04 23 1-4 2.80 25 89.49.31-85 26-45 65-40 9.87 0.10 39-4 22. 9.24.27-0 170. 53. 52-44 44-82 67-62 8.99 1.01 1.46 0.00 33 1-5 2.71 21 88. 44. 57-84 48-85 68-99 8.67 0.13 39-9 23.10. 6.35-2 183. 1. 48-53 39-59 68-94 7.48 0.97 2.13 0.11 42 1-6 2.57 17 87.43.61-34 54-19 67-15 7.54 0.20 39-9 26. 12. 17. 23-0 219. 52. 59-09 55-22 63-87 3.09 1.14 4.53 0.97 53 2-0 1.89 09 85. 27. 40-29 34-04 66-25 5.04 0.62 37-0 May 3.18.10. 0-3 312. 18. 52-49 59-97 52-52 1.51 2.71 7.75 0.63 08 3-3 0.17 19 88. 0. 15-13 11-22 63-91 8.04 1.83 17-5 18. 6.38.24-4 154. 15. 37-89 39-79 58-10 11.22 1.17 0.24 0.63 07 6-6 2.45 45 89. 59. 63-50 52-38 71-12 10.18 0.10 28-0 20. 8. 4.16-9 178.41.19-18 18-54 60-64 8.42 0.99 0.69 0.11 18 7-3 2.75 38 87. 54. 25-70 15-53 70-17 7.80 0.18 33-1 22. 9.28.37-6 203. 3.62-14 55-66 66-48 5.38 1.00 1.78 0.04 37 7-8 2.83 29 86.12.17-67 6-88 70-79 5.87 0.42 37-2 26. 12. 35. 36-0 253. 48. 20-78 10-07 70-71) 0.69 1.55 4.94 1.12 51 8-8 2.32 13 85. 4.86-20 56-02 (90-18) 4.59 1.16 39-8 27* 13. 26. 54-8 267. 2.70-32 56-65 73-67 0.18 1.78 5.72 1.37 44 9-1 2.09 11 85. 25. 29-06 29-10 59-96 4.97 1.36 39-1 June 1. 17. 52. 15-9 336. 27. 32-76 36-31 56-45 3.28 2.99 7.78 0.80 07 10-7 0.72 11 90. 20. 14-26 29-45 44-81 10.55 1.90 27-0 3. 19. 36. 7-7 5. 43. 36-01 34-24 61-77 6.61 3.18 7.42 0.23 15 11-3 0.29 17 92. 45. 44-22 53-06 51-16 13.31 1.76 19-9 4. 20. 28. 41-3 20. 40. 23-83 23-22 60-61 8.37 3.16 6.98 0.08 24 11-8 0.14 20 93. 45. 29-08 31-34 57-74 14.45 1.60 16-5 15. 5.17.15-8 161. 37. 17-07 17-06 60-01 0.74 1.12 0.37 1.10 10 15-1 1.48 53 89. 5.46-97 41-34 65-63 9.30 0.11 14-6 17. 6.42.37-3 186. 6.54-00 47-08 66-92 7.85 0.98 0.27 0.49 09 15-7 2.04 60 87. 5. 54-85 47-73 67-12 7.02 0.25 19-9 19. 8. 7.26-5 210. 34. 38-06 40-26 57-80 4.82 1.02 0.87 0.05 22 16-4 2.50 45 85. 37. 55-20 46-07 69-13 5.34 0.53 25-5 20. 8. 51. 35-6 223. 1.42-86 43-26 59-60 3.41 1.11 1.41 0.00 32 17-0 2.66 41 85. 10.40-13 34-83 65-30! 4.81 0.71 28-5 21. 9.37.45-2 235.43.10-71 7-04 63-67 2.18 1.24 2.08 0.10 42 17-3 2.77 37 84.57. 5-93 0-46 65-47 4.53 0.90 31-3 22. 10. 26. 18-4 248.41.35-81 33-65 62-16 1.17 1.42 2.83 0.31 49 17-6 2.83 32 84. 58. 34-54 33-45 61-09; 4.53 1. 10 33-9 23.11.17. 19-2 261. 58. 25-57 14-39 71-18 0.45 1.63 3.64 0.62 54 17-9 2.82 27 85. 16. 12-05 12-60 59-45 4.84 1.31 36-1 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60"-00 * \ 7.02 2. 00 4. 00 0.76 30 20-8 s \ 1.42 30 60-00 10. 21 .00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [231] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. A u .tJ 11 3 8" Change forO*'l 1 in Argument. Parallactic Inequality. Variation. Change for Os-l in Argument. Annual Equation. Evection. Change for 08-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. j..a a. Q s-g 8 : 8 ?. 1 Effect of Mean Inclination. Change for Oe-l 1 in Argument. ft .2cu |z w w 1812. " h " ' June 24. 12. 10. 24'8 O f ff 275. 32. 58-78 rf 45-82 n 72-96 * * 0.08 g > 0.95 n 53 i 18-2 g * 2.76 23 O f ft 85.50. 7-39 // 6-51 // 60-88 g 5.45 \ u 1.50 38-0 1.87 4.47 29.15.49.31-1 332. 7.31-40 37-43 54-03 2.42 2.87 7. 19 1.44 20 19-8 2.02 10 90. 10. 37-63 15-79 81-84 10.26 1.90 39-1 July 3.20. 9.51-7 45.21.57-70 68-27 49-43 10.63 3.00 7.22 0.15 19 21-4 0.65 11 94.57.61-77 53-17 58-60 15.71 1.25 26-0 4.21. 4.21-6 60. 4. 33-86 43-09 50-77 12.00 2.81 6.71 0.05 28 21-8 0.42 14 95. 7.59-10 56-81 62-29 15.93 1.02 22-4 14. 4.37.59-1 181. 8.21-58 27-08 54-50 8.79 1.00 0.51 1.24 13 25-2 0.71 50 87. 16. 25-85 14-54 71-31 7.33 0.22 8-1 15. 5.20. 8-0 193. 20. 58-02 53-28 64-74 7.28 0.97 0.28 0.97 09 25-6 0.98 51 86. 23. 56-22 40-30 75-92 6.34 0.34 9-2 18. 7.30.20-2 230. 19. 43-84 50-16 53-68 2.92 1.16 0.66 0. 13 17 26-5 1.84 52 84. 51. 49-85 43"29 66-56 4.59 0.84 15-0 21. 9.59.13-1 269.36.21-72 19-69 62-04 0.27 1.72 2.44 0.18 46 27-7 2.54 44 85. 29. 56-06 58-86 57-20 5.21 1.44 24-0 22. 10. 53. 33-5 283. 25. 56-03 56-03 60-00 0.03 1.97 3.23 0.45 52 28-0 2.70 40 86. 15. 22-24 25-87 56-37 6.03 1.61 27-3 26. 14. 36. 38-0 341.38.34-30 25-98 68-32 2.94 2.94 6.36 1.50 35 29-2 2.73 22 91. 8.18-86 20-15 58-71 11.35 1.88 38-1 27. 15. 29. 38-3 356.31.61-99 51-33 70-66 4.48 3.09 6.95 1.50 25 29-5 2.60 18 92. 25. 12-54 9-90 62-64 12.76 1.81 39-4 28. 16.21.54-9 11.24.46-40 36-72 69-68 6.19 3.17 7.39 1.36 16 29-8 2.42 14 93. 32. 9-67 10-41 59-26 13.99 1.67 40-0 30.18. 6.34-8 40. 55. 56-64 52-02 64-62 9.66 3.09 7.78 0.81 07 30-6 1.94 10 94. 59. 28-45 28-07 60-38 15. 62 1.29 38-7 Aug. 14. 5. 23. 59-2 225. 9.41-86 45-47 56-39 3.74 1.08 0.24 0.83 07 34-8 0.53 48 84.51.62-16 55-51 66-65 4.67 0.78 7-4 15. 6. 9. 19-4 237.37.11-80 13-03 58-77 2.46 1.21 0.26 0.51 08 35-0 0.77 50 84. 42. 51-74 47-27 64-47 4.50 0.98 7-6 17. 7.47. 4-8 263. 24. 15-21 17-41 57-80 0.60 1.58 0.84 0.06 21 35-5 1.33 53 85. 10. 51-29 48-76 62-53 5.00 1.37 9-6 19. 9.34.24-4 290.47. 9-52 11-88 57-64 0.04 2.07 2.03 0.09 41 36-0 1.91 51 86.43.18-15 15-29 62-86 6.68 1.71 13-9 22. 12. 24. 41-3 334. 59. 38-89 45-48 53-41 2. 11 2. 82 4.47 0.94 53 36-8 2.59 43 90.33. 2-12 6-31 55-81 10.83 1.90 24-0 24. 14. 14. 2-6 5.38.21-53 20-00 61-53 5.11 3.13 6.02 1.44 40 37-2 2.81 34 93. 9.33-55 36-32 57-23 13.66 1.72 31-1 Sep. 12. 4.49.57-6 245. 14. 46-39 49-79 56-60 2.03 1.27 0.29 0.99 09 40-3 0.08 37 84. 46. 59-51 54-32 65-19 4.55 1.12 11-3 13. 5.38. 0-7 257.54. 7-06 7-56 59-50 1.06 1.45 0.23 0.68 07 40-4 0.20 41 85. 2. 14-64 11-04 63-60 4.85 1.31 9-6 14. 6.28.17-9 270. 52. 11-45 17-13 54-32 0.38 1.66 0.34 0.38 10 40-6 0.37 45 85. 32. 51-67 49"26 62-41 5.43 1.49 8-3 15. 7.20.41-2 284. 13. 51-06 57-84 53-22 0.05 1.91 0.63 0. 14 17 40-7 0.59 48 86. 18. 38-60 37-49 61-11 6.29 1.65 7-6 16. 8.14.45-4 298. 2.54-2-2 57-16 57-06 0. 11 2.17 1.09 0.01 26 40-8 0.84 51 87. 18. 36-99 34-47 62-52 7.40 1.78 7-5 17. 9. 9.52-7 312.21.19-84 26-45 53-39 0.56 2.43 1.68 0.02 36 40-9 1. 12 52 88. 30. 18-90 28-89 50-01 8.73 1.87 8-1 18.10. 5.27-9 327. 9. 12-37 16-01 56-36 1.40 2.68 2.38 0. 17 45 41-0 1.41 53 89. 50. 29-09 36-34 52-75 10. 20 1.90 9-4 20.11.56.34-1 357. 56. 55-20 58-27 56-93 4.08 3.06 4.00 0.76 54 41-1 1.99 51 92. 32. 33-54 41-88 51-66 13.14 1.77 14-3 20.11.58.52-9 357. 59. 22-62 25-56 57-06 4.08 3.06 4.00 0.76 54 41-1 1.99 51 92. 32. 40-64 48-84 51-80 13.14 1.77 143 21.12.54.21-8 13. 42. 41-91 43-02 58-89 5.77 3. 16 4.82 1.09 51 41-3 2.24 48 93.41. 9-97 10-23 59-74 14.37 1.62 18-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 ? \ 7.02 2. 00 \ \\ 4.00 f \ 0.76 \\ 30 20-8 1.42 30 60-00 10.21 1. 00 23-7 1812. Sep. 17. The N. P. D. by Circle is used. If N.P.D. by Quadrant were used, we should have Longitude of Moon's Center = 312. 21'. 18"-25, and E. N.P.D. of Moon's Center = 88. 30 7 . 24"'39. 1812. Sep. 20. If N. P. D. by Quadrant were used, we should have Longitude of Moon's Center at Transit of 1 L. = 357. 56'. 51"'83, and E. N.P.D. = 92. 32'. 41"'28, and at Transit of 2 L. Longitude = 357. 58'. 19"'28, and E. N.P.D. = 92. 32'. 48" '30. [232] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. i Excess of Observed Longitude. if 3 f Change for 0?-1 1 in Argument. Parallactic Inequality. Variation. Change for 0-1 in Argument. Annual Equation. Evection. Change for 0?- 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. o'i. *J2 Ir Effect of Mean Inclination. Change for OB- 1 1 in Argument. - . .28. l z " ww 1812. 2.76 37 O ' If 95. 12. 8-68 5-55 63-13 e * 15. 92 * \\ 0.95 29-0 2.97 6.91 26. 17. 34. 59-3 89.21.32-10 35-42 56-68 13.17 2.54 7.67 1.13 10 41-5 2.83 28 94.28. 19-74 16-19 63-55 15.05 0.52 35-0 Oct. 13. 6. 4.10-4 292. 10.51-12 63-02 48-10 0.03 2.00 0.26 0.53 08 41-2 0.02 34 87. 1.47-32 52-96 54-36 7.02 1.75 14-8 14. 6.57. 4-3 305.49. 2-02 4-19 57-83 0.23 2.27 0.44 0.26 13 41-2 0.10 38 88. 6. 3-45 6-68 56-77 8.24 1.85 12-2 15. 7.60.36-8 319.55. 9-07 8-03 61-04 0.83 2.53 0.81 0.06 21 41-0 0.24 42 89. 19. 8-54 16-20 52-34 9.61 1.90 10-1 16. 8.44.33-6 334.31.27-37 27-65 59-72 1.81 2.77 1.33 0.00 30 41-0 0.42 46 90. 37. 21-34 29-44 51-90 11.08 1.89 8-5 f 17. 9.38.53-1 349. 37. 37-97 40-75 57-22 3. 12 2.97 2.03 0.08 40 40-9 0.65 49 91.55.22-99 32-95 50-04 12.52 1.82 7-6 22. 14.25.28-1 68.21.46-84 47-84 59-00 11.38 2.91 5.97 1.43 41 40-3 2.06 50 94. 57. 57-50 54-11 63-39 15.79 0.80 15-6 24. 16. 21. 19-5 97. 59. 15-52 28-09 47-43 13.45 2.44 7. 16 1.46 21 40-0 2.51 44 93. 48. 54-18 50-60 63-58 14.43 0.39 22-7 26. 18. 8. 38-7 125. 26. 37-89 43-22 54-67 13.99 1.92 7.74 0.99 08 39-8 2.78 36 91. 50. 17-64 8-69 68-95 12. 16 0.15 29-2 27. 18. 57. 55-4 138.28.42-05 42-18 59-87 13.68 1.67 7.76 0.68 07 39-6 2.83 32 90.43. 9-75 2-57 67-18 10.90 0. 10 32-0 28. 19. 44. 30-4 151. 10. 14-46 7-75 66-71 13.03 1.45 7.61 0.38 11 39-5 2.82 27 89. 35. 45-29 34-84 70-45 9.62 0. 10 34-3 Nov. 18. 12. 5. 20-0 60. 0. 29-75 24-24 65-51 10.47 3.01 3.94 0.74 54 35-0 0.72 50 94. 58. 36-53 30-04 66-49 15.90 0.91 7-4 19.13. 5.16-4 75. 38. 10-03 1-34 68-69 11.87 2.83 4.76 1.07 52 34-8 0.99 52 94.39. 8-57 5-23 63-34 15. 53 0.67 7-8 22. 15. 59. 9-8 119.45.44-75 48-39 56-36 13.99 2.08 6.91 1.51 26 33-8 1.86 51 92. 2. 6-08 2-04 64-04 12. 5( 0. 18 13-1 23.16.51.23-8 133. 22, 4-84 9-80 55-04 13.92 1.82 7.37 1.38 17 33-5 2.13 49 90. 53. 26-95 21-44 65-51 11.26 0. 11 15-6 Dec. 8. 3.39.59-9 310. 20. 16-26 24-35 51-91 0.15 2.21 0.75 1.37 19 28-9 1.09 09 88.59.31-80 29-45 62-35 8.95 1.88 38-0 9. 4. 31. 14-9 323.57.15-86 28-72 47-14 0.65 2.47 0.40 1.16 11 28-6 0.82 10 90. 11.33-22 41-52 51-70 10.30 1.90 30-3 12. 7. 3.36-8 6.34. 9-90 13-62 56-28 4.29 3.08 0.44 0.27 12 27-7 0. 19 19 93. 35. 18-93 25-72 53-21 14.17 1.65 27-5 13. 7.55.22-9 21. 26. 19-34 20-85 58-49 5.98 3.16 0.81 0.07 20 27-4 0.07 23 94. 23. 35-46 37-52 57-94 15.10 1.47 24-0 14. 8.49. 3-9 36. 36. 29-20 36-59 51-61 7.75 3.17 1.33 0.00 30 27-0 0.01 27 94. 54. 24-77 26-42 58-35 15.71 1.25 20-4. 1813. Jan. 9. 5. 51. 19-8 16.36. 2-57 7-01 55-56 4.91 3.12 0.22 0.72 07 17-5 1.02 09 94.21.25-21 28-18 57-03 14.91 1.51 37-9 10. 6.42.46-4 31. 16. 16-11 22-38 53-73 6.66 3.18 0.31 0.41 10 17-1 0.75 11 94. 56. 30-81 33-86 56-95 15.59 1.31 30-8 11. 7.35.50-3 46. 5. 12-78 23-83 48-95 8.41 3.15 0.57 0.16 16 16-8 0.51 13 95. 12. 23-74 23-50 60-24 15.91 1.08 33-1 13. 9.27.59-1 75. 55. 55-49 61-23 54-26 11.55 2.88 1.59 0.02 35 16-2 0.16 20 94.41.41-24 37-28 63-96 15.41 ). 0-2 26-3 16. 12. 23. 28-8 119.50.43-39 29-91 73-48 13.95 2. 11 3.94 0.73 54 14-9 0.01 33 91.47.16-59 14-87 61-72 12. 28 O.Hi 16-1 24.18.33. 1-9 223. 1.44-40 23-57 (80-83) 6.27 9.98 7.72 0.56 08 12-1 1.72 52 84. 45. 88-09 58-69 (89-40 1 ) 4.55 0.88 8- Feb. 7. 5.32.30-5 41.38. 19-64 22-72 56-92 7.33 3.18 0.25 0.88 08 8-1 1.79 09 95. 14. 13-43 12-42 61-01 15.87 1.13 40-( 9. 7.21.25-5 70. 58. 26-97 30-74 56-23 10.67 2.99 0.42 0.28 12 7-3 1.22 08 94. 55. 50-13 48-23 61-90 15.55 0.68 38 -J Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sul 60-00 : 1. 02 \ \\ 2.00 4.00 0.76 30 20-8 1. 42 30 60-00 10.21 Lob 23-" 1812. Oct. 13. The R. A. by Transit Instrument, and N. P. D. by Circle, are combined to find the result in the Table above; if the R A. by Mural Circle and N.P. D. by Quadrant were used, the result would be, Longitude of Moon's Center = 292. 11'. 0" -49, and E.N. P.D. of Moon's Center = 87. 1 .51" -64. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [233] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. 1 W f Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for OS -1 1 in Argument. Annual Equation. Evection. Change forOs-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. J..2 OS. . Effect of Mean Inclination. IChtngeforOs-] 1 in Argument. c . ca, fz ww 1813. " h '" * O I a a s x \ \\ X XX g x XX * * XX O / /' H X XX Feb. 10. 8.17.44-3 85. 28. 29-93 36-73 53-20 12.03 2.80 0.78 0.08 20 7-1 0.94 09 94. 17. 44-61 40-77 63-84 14.86 0.47 37-3 11. 9. 14.24-3 99. 48. 57-60 54-60 63-00 13.07 2.57 1.29 0.00 29 6-8 0.68 11 93. 23. 52-87 47-86 65-01 13.88 0.31 35-0 12. 10. 10. 19-5 113.56.65-49 59-64 65-85 13.74 2.31 1.93 0.06 40 6-6 0.45 14 92. 18. 16-79 10-67 66-12 12.69 0.19 32-4 13. 11. 4.28-7 127. 50. 50-91 43-56 67-35 14.01 2.04 2.66 0.26 48 6-3 0.26 17 91. 5.29-89 25-36 64-53 11.38 0. 12 29-5 17.14. 18.29-2 180.42. 4-81 10-35 54-46 11.49 1.20 5.87 1.41 42 5-2 0.03 34 86. 31. 57-64 59-39 58-25 6.43 0.33 17-0 18.15. 1.45-8 193. 16.21-67 16-98 64-69 10.20 1.08 6.54 1.51 32 5-0 0.11 39 85. 45. 10-49 5-16 65-33 5.58 0.47 14-3 21.17.10.49-2 230.10.11-70 1-39 70-31 5.70 0.99 7.72 1.04 09 4-4 0.67 49 84. 43. 51-00 44-58 66-42 4.50 1.02 8-9 22. 17. 55. 46-7 242. 26. 47-55 44-84 62-71 4.23 1.05 7.77 0.73 07 4-2 0.93 51 84.51.44-86 36-68 68-18 4.65 1.21 7-9 23. 18. 42. 33-2 254.51.19-95 26-19 53-76 2.89 1. 16 7.64 0.43 10 3-8 1.21 52 85. 13. 56-36 51-11 65-25 5.06 1.39 7-5 Mar. 7. 4.21.31-0 51.40.50-66 48-54 62-12 8.01 3. 17 0.60 1.29 15 1-8 2.62 18 95.13.11-23 18-35 52-88 15.92 0.95 34-1 10. 7. 9.51-7 95. 28. 31-81 33-00 68-81 12.47 2. 72 0.31 0.42 09 1-4 1.98 10 93. 37. 53-27 44-52 68-75 14.10 0.34 39-6 11. 8. 5.21-0 109. 29. 15-75 16-98 58-77 13.38 2.47 0.57 0.17 15 1-2 1.71 08 92. 36. 39-47 35-94 63-53 12.97 0.21 40-0 12. 8.59. 7-5 123. 12. 46-63 51-00 55-63 13.89 2.21 1.01 0.02 24 1-1 1.42 08 91. 27. 46-59 37-38 69-21 11.68 0.13 39-7 17. 12. 56. 58-7 188.19.57-34 64-90 52-44 11.02 1.15 4.71 1.03 52 0-6 0.22 18 86. 5.41-56 30-36 71-20 5.80 0.43 30-4 18. 13. 39. 49-9 200. 47. 59-30 66-73 52-57 9.66 1.04 5.51 1.30 46 0-5 0.09 22 85. 27. 28-32 25-26 63-06 5.12 0.59 27-8 20.15. 5.54-0 225. 24. 30-07 21-43 68-64 6.65 0.97 6.83 1.51 27 0-3 0.00 31 84. 51. 32-65 30-43 62-22 4.50 0.97 21-9 22. 16. 35. 55-4 249. 54. 13-60 5-88 67-72 3.71 1.09 7.63 1.19 11 0-2 0.14 40 85.11.38-67 39-76 58-91 4.92 1.34 16-5 i April 8. 6.55.54-6 119. 5.52-90 48-46 64-44 13. 62 2.37 0.25 0.58 08 0-2 2.58 17 91. 38. 35-31 29-57 65-74 11.94 0.14 34-7 10. 8.37.35-1 145. 49. 42-67 39-50 63-17 13.95 1.85 0.75 0.09 19 0-3 2. 16 11 89. 17. 35-42 27-59 67-83 9.29 0.11 38-4 11. 9.24.27-7 158. 45. 20-66 25-63 55-03 13.54 1.61 1.25 0.00 29 0-4 1.91 09 88. 10.61-65 52-57 69-08 8.05 0.17 39-5 12.10. 9. 18-1 171.28.30-47 32-63 57-84 12.80 1.40 1.88 0.06 39 0-5 1.63 08 87. 11. 12-23 1-23 71-00 6.93 0.26 40-0 13. 10. 52. 42-9 184. 1.48-91 56-82 52-09 11.78 1.23 2.60 0.24 47 0-5 1.35 08 86. 20. 25-42 21-01 64-41 5.99 0.40 39-9 14.11.35.22-0 196. 27. 50-26 59-14 51-12 10.52 1.10 3.41 0.53 53 0-6 1.07 09 85. 40. 50-07 48-06 62-01 5.25 0.55 393 17. 13. 46. 48-2 233. 20. 28-84 43-48 45-36 6.08 0.98 5.82 1.40 43 0-9 0.35 15 85. 0.40-76 39-64 61-12 4.54 1. 11 34-7 May 7. 6.34.52-5 141.36.61-75 56-20 65-55 14.01 2.01 0.22 0.75 07 4-0 2.83 29 89.25.30-13 20-43 69-70 9.57 0. 10 25-2 8. 7.23. 1-2 154.44.48-56 36-91 71-65 13.83 1.76 0.30 0.44 09 4-2 2.79 24 88. 17. 52-15 52-61 59-54 8.29 0.15 28-5 9. 8. 8.30-1 167.33. 5-88 1-69 64-19 13.30 1.53 0.55 0.18 15 4-4 2.69 20 87. 17. 31-54 20-18 71-36 7.14 0.24 31-3 10. 8.52. 7-2 180. 7.20-80 14-16 66-64 12.44 1.33 0.97 0.03 24 4-6 2.53 16 86. 25. 62-63 59-10 63-53 6. 15 0.37 33-7 11. 9.34.37-9 192.31.43-87 40-02 63-85 11.33 1. 18 1.55 0.01 34 4-8 2.34 13 85. 45. 42-87 35-00 67-87 5.38 0.52 35-9 Sub. 60-00 Sub. 7.02 Sub. 2.00 Sub. Sub. Sub. Sub. 20-8 Sub. x 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. \ v\ 1.00 Sub. 23-7 4.00 0.76 30 1813. April 12. The Quadrant Observation is used. It is probable that in the Circle Observation the Moon was taken on the Micrometer Wire in the position in which it had been previously used for Jupiter. GREENWICH LUNAR REDUCTIONS. 2 [H] [234] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich to . . ,1 *J T 1 ^ Ecliptic !i_ 1 5-| y. Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude, Excess of Observe< Longitude, :ti Sf Change for( in Argumenl Parallactic Inequality. Variation. Change for ( in Argumen Annual Equation. Evection. Change for C in Argumel N.P.D. of Moon's Center from Observation. Seconds o Tabular Ecli N. P. D. S-o "- a; ? > *~ 31 Effect of Mean Inclination Ch:inge for in Argument c . "'_ 1 - f> <3w 1813. ''.' Q t II if ft K * \ \\ \ \\ s \ g v ' " fr tt K x \ \\ \ May 12. 10. 16. 48'4 204.50. 0-02 0-80 59-22 10.01 1.06 2.23 0.13 43 5-2 2.10 11 85. 17. 33-36 28-55 64-81 4.84 0.69 37-6 13. 10. 59. 19-6 217. 5. 9-93 10-32 59-61 8.55 0.99 3.00 0.37 50 5-4 1.84 09 85. 2.39-50 35-02 64-48 4.55 0.88 38-9 15. 12. 29. 35-8 241. 35. 27-17 31-28 55-89 5.50 0.99 4.65 1.01 53 5-9 1.28 08 85.14.11-52 3-65 67-87 4.74 1.26 40-0 21.17.22.35-8 317. 15.43-50 44-09 59-41 0.03 2.01 7.76 0.92 08 7-5 0.05 24 90.21. 13-87 6-78 67-09 10.50 1.90 31-3 24. 19. 52. 53-7 358. 55. 29-56 24-67 64-89 1.84 2.77 7. 16 0.12 20 8-3 0.09 38 93. 37. 33-94 27-96 65-98 14.24 1.64 21-7 June 7. 7.33.29-8 188.26.20-71 13-48 67-23 12.05 1.27 0.38 0.31 11 12-4 2.83 32 85. 45. 39-21 35-32 63-89 5.53 0.49 20-9 8. 8.15.45-3 200.48. 5-24 1-36 63-88 10.84 1.13 0.72 0.10 19 12-7 2.83 28 85. 15. 12-13 8-91 63-22 4.94 0.66 23-7 10. 9.40.56-1 225. 16. 58-29 49-07 69-22 7.97 0.98 1.83 0.05 38 13-3 2.65 19 84.54.52-30 54-68 57-62 4.50 1.03 29-5 11.10.25. 7-4 237.31.17-11 8-72 68-39 6.45 0.98 2.55 0.23 47 13-6 2.49 15 85. 5.37-06 40-38 56-68 4.67 1.22 32-0 12.11.10.55-4 249. 49. 13-68 4-40 69-28 4.93 1.02 3.35 0.50 52 14-2 2.28 13 85. 30. 3-66 5-83 57-83 5.10 1.40 34-3 13. 11.58.25-5 262. 12. 46-33 31-18 75-15 3.52 1.10 4. 18 0.83 54 14-5 2.04 10 86. 7. 18-71 25-29 53-42 5.77 1.57 36-4 13. 12. 0. 35-5 262. 13.48-37 36-36 72-01 3.52 1.10 4.18 0.83 54 14-5 2.04 10 86. 7.22-84 28-98 53-86 5.77 1.57 36-4 18. 16. 9. 42-2 326. 26. 22-73 19-56 63-17 0.06 2.11 7.44 1.33 15 16-0 0.67 11 91. 21. 35-03 33-60 61-43 11.55 1.88 39-5 20. 17. 47. 50-6 353.49.31-32 17-03 73-69 1.18 2.63 7.78 0.77 07 17-0 0.26 17 93. 30. 18-60 19-59 59-01 13.97 1.68 36-6 22.19.28. 2-3 22.41. 19"23 19-10 60-13 3.73 3.03 7.39 0.21 16 17-6 0.03 25 94. 54. 26-96 23-96 63-00 15.59 1.31 31-1 July 6. 6.55.17-7 208. 37. 54-72 62-09 52-63 10.34 1.09 0.29 0.46 09 22-4 2.53 44 84. 53. 35-41 27-68 67-73 4.65 0.79 11-5 7. 7.38. 1-3 220. 54. 10-88 16-48 54-40 8.91 1.01 0.53 0.20 14 22-7 2.69 40 84. 46. 29-47 25-51 63-96 4.50 0.98 13-5 9. 9. 6.48-8 245. 24. 23-62 25-12 58-50 5.86 0.98 1.50 0.01 33 23-3 2.83 31 85.14.54-13 53-06 61-07 4.97 1.36 18-7 11. 10.42.24-0 270. 16. 72-09 55-06 77-03 3.02 1.15 2.94 0.35 50 24-0 2.74 22 86. 36. 28-26 28-50 59-76 6.43 1.67 24-5 12.11.32.28-2 282. 58. 18-79 7-29 71-50 1.84 1.29 3.76 0.66 54 24-3 2.61 18 87.34. 4-16 6-98 57-18 7.46 1.79 27-5 15.14. 7. 2-4 322. 17. 18-00 4-30 73-70 0.04 1.95 6.12 1.46 39 25-6 1.97 10 91. 4.39-49 36-72 62-77 11.29 1.88 35-4 16.14.56.47-8 335.49.63-19 43-29 79-90 0.16 2.21 6.75 1.52 29 25-9 1.70 08 92. 15. 23-72 22-62 61-10 12.58 1.82 37-5 ' 17. 15.45.54-7 349. 36. 56-75 44-89 71-86 0.67 2.48 7.25 1.43 19 26-2 1.41 08 93. 19. 40-38 36-98 63-40 13.76 1.71 38-9 18.16.34.51-1 3.38.65-81 53-40 72-41 1.57 2.72 7.60 1.22 12 26-5 1.13 08 94. 13. 12-51 9-54 62-97 14.75 1.55 39-8 22.20. 3.20-3 62.17.41-49 32-03 69-46 7.80 3.17 7.19 0.13 20 28-0 0.21 18 94. 53. 54-75 57-55 57-20 15.55 0.68 35-9 Aug. 3. 5. 33. 22-0 216. 2. 50-86 57-68 53-18 9.81 1.05 0.27 0.94 08 31-5 1.61 52 84. 43. 58-86 50-87 67-99 4.51 0.93 7-8 7. 8.35.11-3 265. IS. 19-60 21-91 57-69 3.84 1.08 1.17 0.00 27 32-8 2.58 43 86. 14. 40-54 39-93 60-61 6. 17 1.64 10-1 9.10. 15.31-0 290. 44. 68-94 57-16 71-78 1.46 1.36 2.49 0.21 46 33-3 2.81 34 88. 12. 24-31 27-22 57-09 8.31 1.85 14-1 10.11. 6.58-5 303.51.69-53 59-42 70-11 0.64 1.56 3.29 0.49 52 33-6 2.83 30 89.23. 0-82 3-35 57-47 9.59 1.90 17-0 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub it s \ \ \\ \ \\ K \ w % a \ \\ if K \ \ \\ 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [235] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for Os- 1 1 in Argument. Parallactic Inequality. Variation. 1 Change for 0- ll in Argument. Annual Equation. Erection. Change for 0?'l in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. P. D. Excess of Ob- I served Ecliptic 1 N. P. D. Effect of Mean Inclination. Change for 08-1 I in Argument. i .2P Iz > . 1813. -1 h m s Aug. 11.11.58.26-7 O 1 II 317. 16. 40-39 // 27-09 n 73-30 g * 0.16 s " 0.81 64 33-8 e * 2.80 \\ 25 O t II 90. 37. 10-40 ii 10-38 it 60-02 s * 10.93 1.89 19-9 1.79 4.12 12.12.51.38-9 330. 59. 31-60 20-93 70-67 0.03 2.05 4.94 1.13 51 34-1 2.71 21 91.50.54-24 46-96 67-28 12.27 1.84 23-2 13.13.41.58-5 344. 57. 16-43 7-71 68-72 0.31 2.31 5.72 1.38 44 34-6 2.57 17 92.59. 8-47 5-10 63-37 13.50 1.74 26-5 17. 17. 4. 17-8 42. 47. 63-95 44-21 79-74 4.97 3. 12 7.69 1.09 09 35-5 1.62 08 95.15.38-51 42-67 55-84 15.92 0.95 37-7 18.17.58. 9-0 57. 32. 58-02 46-67 71-35 6.70 3.18 7.78 0.78 07 35-7 1.34 08 95. 1.58-92 64-56 54-36 15.66 0.72 39-2 Sep. 4. 7.15.38-4 272. 31. 19-72 22-17 57-55 3.34 1.12 0.51 0.22 14 39-1 1.68 52 86. 48. 31-48 31-54 59-94 6.83 1.72 8-1 5. 8. 5.29-5 285. 8.28-93 31-02 57-91 2. 10 1.26 0.90 0.04 22 39-4 1.96 51 87. 47. 19-63 21-26 58-37 7.92 1.83 7-5 6. S.56.23'6 298. 2. 58-90 60-46 58-44 1.11 1.43 1.46 0.00 32 39-6 2.22 49 88.54. 6-50 7-46 59-04 9.16 1.89 7-5 7. 9.47.49-6 311.18.20-72 24-14 56-58 0.42 1.65 2.13 0.10 42 39-7 2.44 46 90. 5.59-15 63-54 55-61 10.48 1.90 8-1 8. 10. 39. 19-5 324. 56. 42-67 49-84 52-83 0.06 1.89 2.88 0.33 50 39-8 2.62 42 91.19.26-39 32-00 54-39 11.83 1.86 9-3 9. 11. 30. 36-8 338. 58. 28-47 34-90 53-57 0.09 2.15 3.70 0.63 54 40-0 2.75 38 92. 30. 13-83 9-08 64-75 13.12 1.78 11-2 10. 12. 23. 54-3 353.23. 5-01 12-64 52-37 0.51 2.41 4.53 0.97 53 40-1 2.82 33 93.33. 7-44 3-42 64-02 14.26 1.64 13-7 14. 15. 53. 46-4 52. 58. 52-59 33-66 78-93 5.62 3.15 7.22 1.44 20 40-6 2.53 16 95. 1. 9-53 10-45 59-08 15.74 0.77 27-5 16.17.47. 2-2 82, 40. 21-41 7-41 74-00 9.13 3.12 7.75 0.95 08 40-8 2.09 11 93. 46. 35-44 31-86 63-58 14.29 0.37 33-9 17. 18. 44. 54-2 97. 14. 58-64 45-59 73-05 10.73 2.99 7.75 0.63 08 40-9 1.82 09 92.46. 6-53 5-40 61-13 13.15 0.23 36-4 18. 19. 42. 12-0 111.36.29-84 22-62 67-22 12.08 2.79 7.58 0.34 12 41-0 1.54 08 91.36. 3-16 0-69 62-47 11.83 0.14 38-3 19.20.37.50-1 125.44.27-71 23-55 64-16 13. 11 2.56 7.22 0.14 19 41-1 1.25 08 90. 21. 17-89 10-31 67-58 10.44 0.10 39-5 30. 4. 20. 20-4 255. 9.16-02 19-12 56-90 5.66 0.99 0.51 1.23 13 41-6 0.23 42 85. 54. 23-90 29-37 54-53 5.69 1.55 22-7 Oct. 1. 5. 7.44-6 267.23.46-16 45-03 61-13 4. 19 1.05 0.28 0.96 08 41-6 0.41 46 86. 38. 32-28 40-92 51-36 6.54 1.69 19-7 3. 6.46. 2-2 292.18.21-15 26-77 54-38 1.70 1.32 0.35 0.35 11 41-6 0.89 51 88. 34. 37-99 37-17 60-82 8.74 1.87 14-3 11.13.43.44-5 46. 55. 26-38 11-27 75-11 4.57 3. 10 5.72 1.36 44 41-4 2.77 37 94. 58. 12-68 6-58 66-10 15.84 0.84 11-7 15. 17. 37. 47-4 107.17.28-16 20-34 67-82 11.28 2.92 7.69 1.11 09 41-0 2.64 19 91.44.20-98 19-94 61-04 12.10 0.15 25-0 16. 18. 34. 20-9 121.32.64-73 48-39 76-34 12. 52 2.71 7.78 0.80 07 41-0 2.47 15 90. 30. 51-49 49-42 62-07 10.71 0. 10 28-5 17.19.28. 5-6 135.27.20-29 9-13 71-16 13.40 2.46 7.69 0.49 09 40-9 2.26 12 89.17.21-82 16-90 64-92 9.32 0.11 31-6 31. 5.28. 4-8 299. 50. 12-06 11-02 61-04 1.33 1.39 0.24 0.82 07 39-1 0. 12 39 89. 29. 53-28 51-27 62-01 9.62 1.90 27-8 Nov. 1. 6. 17. 22-3 312.35.31-37 31-25 60-12 0.56 1.59 0.27 0.50 08 38-9 0.27 43 90. 37. 19-21 18-16 61-05 10.90 1.89 24-7 3. 7.56. 5-2 339. 18. 25-25 26-92 58-33 0.05 2.08 0.87 0.05 22 38-6 0.70 50 92. 48. 27-32 31-17 56-15 13.39 1.75 18-4 4. 8.45.56-8 353.25.15-13 21-79 53-34 0.37 2.35 1.41 0.00 32 38-4 0.96 51 93. 44. 29-45 31-43 58-02 14.46 1.60 15-2 5. 9.36.48-7 8. 5.15-00 22-55 52-45 1.08 2.60 2.08 0.09 41 38-2 1.25 52 94.28. 2-90 3-36 59-54 15.29 1.41 12-4 Sub. 60-00 Sub. 7.02 Sub Sub. Sub. 0.76 Sub 30 Sub. 20-8 Sub. 1.42 Sub \v 30 Sub. 60-00 Sub. 10. 21 Sub. i. oo Sub. 23-7 2.00 4.00 2 [H] 2 [236] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich H p4 7 r Ecliptic (^ G. i - - Mean Solar Time of Longitude of |li $t* i! o ts u - 2 g &$ Si _o E - & 2 X 3 | Is & N. P. D. of ||o O . ^ e-S t g S S '=- Observation of Moon's Limb. Moon's Center from Observation. III o i- III *. o o J . a c If < 5.2 ! b &s jj *C I! II 1 H iU i< 0.5 Moon's Center from Observation. !- S 5Z "1 1 "g Z l|| i! < o.S |z 1813. a h m s O tit It " r * > > g " - g " o / * " tf v ' > > Nov. 8. 12. 24. 13-3 54.43.61-84 43-62 78-22 6. 19 3. 14 4.47 0.95 63 37-4 2.10 50 94. 42. 52-9 r 49-18 63-79 15.6 0.70 7-5 9. 13. 24. 22-7 70. 36. 23-33 8-1-1 75-2 6.96 3. 18 5.29 1.25 48 37-2 2.34 47 94. 3.57-13 51 -03 66-10 14.89 0.48 7-6 10.14.26. 3-6 86.18. 2-66 1-07 61-59 8.72 3.14 6.02 1.45 40 37-0 2.55 44 93. 6.46-90 43-01 63-89 13.8 0.30 8-6 12. 16. 27. 16-3 116.32. 17-13 17-75 59-38 11.79 2.85 7.22 1.44 20 36-6 2.78 35 90.41. 6-7'. 5-67 61-05 11.07 0.11 12-8 13. 17. 23. 39-7 130. 55. 42-05 50-31 61-74 12.90 2.62 7.68 1.24 12 36-2 2.83 31 89. 24. 56-80 51-27 65-53 9.63 0. 10 15-4 14. 18. 16. 20-6 144. 50. 56-67 54-21 62-46 13.64 2.36 7.75 0.96 08 36-0 2.81 26 88. 13. 14-04 9-60 64-44 8. 2ti 0.15 18-4 15.19. 5.30-4 158. 20. 63-30 56-45 66-85 13.98 2.10 7.7o 0.64 08 35-7 2.73 22 87. 9.44-55 39-48 65-07 7- Ofi 0.25 21-7 16.19.51.48-6 171.30.21-38 16-91 64-47 13.94 1.84 7.58 0.36 12 35-5 2.60 18 86. 16.66-55 58-50 68-05 6.05 0.38 24-7 17.20.36. 6-8 184. 23. 10-53 11-92 58-61 13.52 1.61 7.22 0.15 19 35-3 2.42 14 85. 36. 59-83 54-01 65-82 5.28 0.55 27-8 29. 5. 0.43-6 320.42. 4-07 6-55 57-52 0.35 1.68 0.29 0.98 09 32-1 0.01 27 91. 35. 10-54 7-97 6-2-57 11.84 1.86 36-6 30. 5.48.37-5 333. 43. 32-52 35-62 56-90 0.05 1.92 0.23 0.67 07 31-6 0.00 32 92. 38. 46-43 4598 00-45 13.04 1.78 34-5 Dec. 2. 7.24.52-6 1. 4. 9-21 12-33 56-88 0.59 2.44 0.63 0.13 17 31-0 0.16 40 94.22. 8-2G 8-84 59-42 15.01 1.49 28"; 3. 8. 14. 37-2 15. 31. 17-43 15-74 61-69 1.45 2.69 1.09 0.01 26 30-7 0.32 44 94. 53. 65-0 56-52 58-49 15.64 1.28 25-? 5.10. 1.36-3 45.59.21-12 22-35 58-77 4.15 3.07 2.38 0.18 45 30-1 0.77 50 94.68.51-01 50-16 60-85 15.81 0.81 18-( 13. 17. 48. 64-4 166.59. 2-85 2-80 60-05 14.01 2.00 7.67 1.12 10 27-4 2.73 38 86. 19. 58-98 57"29 61-69 6.27 0.35 10-- 14. 18. 34. 35-1 180. 10. 16-03 17-16 58-87 13.82 1.75 7.78 0.81 07 26-7 2.81 34 85. 35. 39-93 35-40 64-53 5.43 0.51 12- 28. 4.33. 3-8 342. 33. 47-22 50-64 56-58 0.03 2.02 0.38 1. 13 11 22-1 0.33 16 93.27.53-14 54-84 58-30 13.89 1.69 40- 30. 6. 7.17-6 9. 44. 24-08 22-92 61-16 0.87 2.64 0.26 0.52 08 21-5 0.06 24 94. 53. 16-40 20-49 55-91 15.49 1.35 38-. 31. 6.56. 7-1 23. 57. 14-40 16-32 58-08 1.87 2.78 0.46 0.25 13 20-8 0.01 28 95. 12. 51-71 54-31 57-40 15.87 1.13 36- 1814. Jan. 1. 7.47.22-0 38. 37. 41 74 45-47 56-27 3.19 2.98 0.84 0.06 21 20-5 0.01 33 95. 12. 58-69 63-22 55-47 15.90 0.90 34' 6. 12. 50. 36-6 16. 23. 12-04 8-05 63-99 1.46 2.89 4,47 0.94 53 18-8 0.85 61 90. 26. 48-29 49-57 58-72 10.80 0.10 Iti 7. 13. 50. 56-4 31.41.14-14 11-55 62-59 2.66 2.68 5.29 1.23 49 18-1 1.13 52 89. 2.26-91 23-30 63-61 9.26 0. 11 13 8. 14. 47. 20-1 46.32. 1-67 1-08 60-59 3.49 2.43 6.02 1.44 40 17-8 1.42 53 87. 44. 15-94 16'97 58-97 7.84 0. 18 10 ' 11.17.13.54-9 88. 1.37-16 44-10 53-06 3.66 1.66 7.56 1.26 13 16-8 2.24 48 85. 8.23-00 16-90 66-10 4.99 0. 64 7 12. 17. 57. 59-3 00. 58. 12-43 9-23 53-20 2.98 1.44 7.74 0.98 08 16-5 2.46 45 84. 47. 48-76 41-56 67-20 4.60 0.83 7 13. 18.41. 17-5 13. 35. 46-09 52-05 54-04 2.02 .27 7.75 0.67 08 16-2 2.63 42 84. 42. 57-36 50-05 67-31 4.50 1.03 S 28. 5.41.47-4 33.29. 9-96 13-63 56-33 2.33 2.86 0.22 0.69 07 11-2 0.48 13 95. 17. 9-45 16-20 53-25 15.93 0.96 Si 30. 7. 27. 39-3 62.44. 6-78 6-37 60-41 5.41 }. 15 0.63 0.14 16 10-6 0.13 21 94. 30. 49-25 51-00 5825 15.08 0.53 Si Feb. 1. 9.25.57-8 93. 1. 7-28 0-61 66-67 8.93 .. 13 1.68 0. 02 36 9-7 0.00 29 92. 30. 26-20 23-04 63-16 12. 89 0. 20 3( Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. S . II g \ \\ V %\ K \ K * p * K \ \ \\ 60-00 7.0-2 .00 4. OO 1 0.76 30 20-8 i 1.42 30 60-00; 0.21 .00 2:' 1; SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [237] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. U -~ H aj Change for OB- 1 I in Argument. Parallactic Inequality. Variation. Change for O 1 -"! in Argument. L Annual Equation. Evection. Change for 08-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. C . . !lz II Effect of" Mean Inrlination. Change for OK- 1 in Argument. c * a""! .SC- UM 1814. d h m s O / II rl /t g > > v , g > * O / " " // g * V M . Feb. 2.10.27.43-1 108. 20. 22-41 23-10 59-31 10.56 3.01 2.38 0.17 45 9-5 0.02 34 91. 11. 7-00 4-03 62-97 |'ll. 45 0.12 33-3 3.11.28.44-7 123. 36. 26-67 33-00 53-67 11.94 2.82 3.17 0.43 52 9-2 0.10 38 89. 46. 66-04 59-67 66-37 9.93 0. 10 30-2 4. 12. 29. 38-1 138. 42. 16-38 25-14 51-24 13.02 2.59 4.00 0.76 54 8-9 0.24 43 88. 24. 55-34 50-38 64-96 8.44 0.14 26-5 6. 14. 16. 16 167.49. 4-88 8-45 56-43 14.00 2.06 5.62 1.35 45 8-4 0.66 49 86. 10. 4-03 1-07 62-96 6.01 0.39 19-7 7. 15. 4. 20-7 181.43.50-70 54-51 56-19 13.90 1.81 6.31 1.49 36 7-8 0.92 51 85. 24. 46-77 42-61 64-16 5.20 0.57 16-3 25. 4.30. 1-2 43. 35. 22-26 21-04 61-22 2.85 2.93 0.40 1.15 11 3-6 1.46 08 95. 3.49-28 48-02 61-26 15.76 0.78 32-7 26. 5.22.54-1 58. 6.50-85 60-14 50-71 4.37 3.09 0.25 0.85 08 3-4 1.17 08 94. 36. 36-59 41-73 54-86 15.24 0.57 35-2 27. 6.18.26-7 72.46. 9-42 12-98 56-44 6.08 3.17 0.26 0.34 08 3-2 0.90 10 93.51.21-93 24-66 57-27 14.38 0.38 37-5 28. 7.16.23-0 87.31. 8-31 12-02 56-29 7.85 3.17 0.44 0.26 13 3-0 0.64 12 92. 50. 31-75 34-32 57-43 13.24 0.24 39-0 Mar. 1. 8.15.48-4 102. 19. 32-97 36-27 56-70 9.57 3.09 0.81 0.07 21 2-9 0.42 14 91.38.11-67 8-83 62-84 11.89 0. 14 39-9 3. 10.13. 15-9 131.53. 3-79 6-14 57-65 12.39 2.74 2.03 0.08 40 2-4 0.10 22 88.59.31-30 27-87 63-43 8.96 0.12 39-1 29. 7. 9. 14-0 112.26.28-85 35-72 53-13 10.19 3.04 0.33 0.39 10 o-o 1.37 08 90.33. 4-95 1-45 63-50 10.75 0.10 33-5 30. 8. 6.33-1 126. 53. 54-00 66-77 47-23 11.64 2.87 0.60 0.15 16 o-o 1.09 09 89. 16. 24-37 17-51 66-86 9.31 0.11 36-1 April 1. 9.53.36-3 155.19.45-55 59-28 46-27 13.57 2.39 1.63 0.02 35 o-o 0.57 12 86. 58. 32-80 29-81 62-99 6.72 0.29 39-3 2. 10. 43. 7-0 169. 15. 5:>-.3 " " s * > June 28. 9. 7. 55-5 234. 48. 24-73 27-09 57-64 1.72 .22 1.29 0.00 29 19-5 2.45 15 85. 33. 35-85 33-68 62-17 5.35 .47 10-8 30. 10. 40. 28-8 259.25.32-15 30-84 61-31 9.03 .01 2.66 0.25 48 20-2 1.99 10 87. 8.36-83 40-61 56-22 7.05 .75 2-2-4 July 1.11.28.29-5 271. 38. 20-98 17-68 63-30 7.51 .97 3.46 0.54 53 20-5 1.72 09 88. 8.62-74 57-00 65-74 8.14 1.84 25-2 2. 12. 19. 21-0 283.51.29-57 29-00 60-57 5.98 .98 4.30 0.87 54 20-8 1.43 08 89. 14. 25-97 24-82 61-15 9.32 1.89 28-0 3. 13. 8. 2-8 296. 5. 2-11 4-08 58-03 4.48 .04 5.11 1.18 50 21-1 1. 15 08 90.22. 7-76 4-29 63-47 10.55 1.90 30-6 5. 14. 43. 16-8 320. 45. 54-56 61-83 52-73 1.92 .28 6.54 1.51 33 22-1 0.63 12 92. 32. 35-39 32-97 62-42 12.91 1.79 35-4 6. 15. 29. 21-3 333. 19. 6-64 6-44 60-20 0.98 .47 7.09 1.48 22 22-4 0.41 15 93. 29. 32-31 30-78 61-53 13.95 1.68 37-3 10. 18. 32. 18-9 26. 20. 35-43 40-92 54-51 0.61 2.45 7.64 0.43 10 23-7 0.00 31 95. 16. 59-72 60-10 59-62 15.92 0.94 39-7 11.19.21.58-9 40. 36. 23-43 30-39 63-04 1.47 2.70 7.34 0.20 16 24-0 0.04 35 95. 1.31-55 34-94 56-61 15.65 ).72 38-7 I 24. 6.20.43-0 217.58.16-68 18-45 58-23 3.26 1.52 0.22 0.74 07 28-3 2.71 39 84. 64. 29-68 23-87 65-81 4.72 1.25 7-5 25. 7. 5.26-9 230. 38. 35-02 44-10 50-92 2.39 1.32 0.30 0.43 09 28-6 2.80 35 85. 20. 48-46 46-57 61-89 5,21 1.43 7-5 26. 7.50.52-5 243. 5. 6-79 6-34 60-45 1.26 .17 0.55 0.18 15 28-9 2.83 30 85. 59. 56-48 53-67 62-81 5.93 1.60 8-1 27. 8.37.21-0 255. 22. 17-80 16-23 61-57 9.93 1.06 0.97 0. 03 24 29-2 2.81 26 86. 49. 37-78 37-02 60-76 6.83 1.73 9-2 29. 10. 13. 25-7 279. 46. 21-06 13-60 67-46 6.93 0.97 2.23 0.13 44 30-1 2.58 17 88.51.41-47 40-78 60-69 9.06 1.88 1-2-6 30.11. 2.16-3 292. 0.20-03 7-82 72-21 5.40 .00 3.00 0.38 51 30-3 2.40 14 89. 58. 58-06 56-69 61-37 10.28 1.90 14-8 31.11.50.51-4 304. 18. 68-09 59-42 68-67 3.95 1.07 3.82 0.69 54 30-6 2.17 11 91. 6.47-68 37-77 69-91 11.51 1.88 17-5 Aug. 1.12.40.49-3 316.46. 8-93 1-15 67-78 2.63 1.19 4.65 1.02 52 30-9 1.92 09 92.11.53-93 48-48 65-45 12.69 1.81 20-2 3. 14. 13. 16-3 342. 6.50-40 34-37 76-03 0.69 1.55 6.17 1.47 38 31-5 1.36 08 94. 1.58-07 55-46 62-61 14.66 1.56 26-3 5. 15. 43. 22-6 8. 17. 57-78 54-52 63-26 0.03 2.03 7.28 1.41 18 32-3 0.81 10 95. 6. 12-44 12-03 60-41 15.79 1.20 32-0 26. 8.57. 6-1 287. 34. 66-03 55-40 70-63 6.34 0.98 1.25 0.00 28 37-4 2.82 34 89.38. 7-83 6-37 61-46 9.98 1.90 7-4 28.10.34. 9-4 312. 17. 46-93 38-97 67-96 3.43 1.11 2.60 0.24 47 38-0 2.79 24 91.49.55-05 53-66 61-39 12.41 1.83 8-3 29.11.21.36-5 324. 54. 28-09 19-70 68-39 2.19 1.24 3.41 0.52 53 38-2 2.69 20 92. 50. 30-07 27-19 62-88 13.5 1.74 9-4 Sep. 1.13.41.37-2 4. 6.54-50 37-08 77-42 0.08 1.87 5.82 1.39 43 38-7 2. 11 11 94.54. 6-20 3-00 62-20 15.73 1.24 16-1 2.14.27.34-1 17. 38. 63-55 49-89 73-66 0.07 2. 13 6.49 1.5 33 38-8 1.85 09 95. 6.48-21 47-67 60-54 15.9 1.03 19-2 3. 15. 14. 43-9 31. 25. 26-40 5-64 80-76 0.46 2.39 7.06 1.48 23 39-0 1.57 08 95. 2. 8-98 11-58 57-39 15.8 0.8 22-4 4.16. 3.55-0 45. 25. 22-88 9-00 73-8 1.23 2.64 7.4 1.3 15 39-1 1.29 08 94. 39. 34-90 39-09 55-8 15.3 0.6 25-8 25. 9. 15. 5-1 319.49.24-56 27-4 57-1 2.9 1.16 1.5 0.0 33 41*4 2.65 41 92.33.19-1 21-41 57-77 13.21 1.7 9-7 28. 11. 34. 27-0 359. 0.27-4 24-4 63-0 0.2 1.7 3.7 0.6 54 41-5 2.83 28 94.43. 8-20 4-11 64-09 15.62 1.2 7-4 Oct. 1.14. 0. 5-2 40.51.58-8 40-3 78-5 0.7 2.4 6. 1 1.4 39 41-6 2.4' 16 94.38.36-12 37'0'J 59-05 15. 4 0.6 10-8 Sub Sub Sub Sub Sub Sub Sub Sub Sub Sub Sub. Sub Sub. 60-0 r \ 7.0 2.0 4.0 0.7 30 20-8 g 1.42 30 60-00 10.21 i.ob 23-7 181-4. Aug. 8. The Moon was observed in both Elements on this day, but the results are too discordant to be inserted in the above Table. SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [239] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. 111 8-3-5: e * w g * O / II ti If f * V V June 18. 9. 42. 45'7 233. 42. 46-89 62-09 44-80 13.95 1.86 1.68 0.02 36 16-0 1.17 08 86. 35. 15-06 12-33 62-73 6.49 1.68 16-8 20. 11.21.53-7 259. 49. 25-70 34-78 50-92 12.83 1.41 3. 17 0.43 51 16-7 0.64 12 88. 42. 47-14 46-74 60-40 8.80 1.87 22-9 21. 12. 15. 6-1 272.35. 3-98 20-41 43-57 11.80 1.24 4.00 0.75 54 17-0 0.42 14 89. 52. 48-10 48-72 59-38 10.06 1.90 25-8 25. 15. 30. 32-9 322. 3.14-98 17-00 57-98 6.09 0.98 6.91 1.51 26 18-2 0.00 31 93.56.43-17 44-58 58-59 14.48 1.60 35-9 26. 16. 14. 53-8 334. 15. 54-72 5-2-20 62-52 4.59 1.03 7.37 1.38 17 18-9 0.04 35 94. 36. 0-8o 4-76 56-09 15.19 1.44 37-6 28. 17. 39. 54-2 358. 58. 9-49 12-82 56-67 2.01 1.27 7.77 0.85 07 19-5 0.28 43 95. 16. 4-90 14-87 50-03 15. 91 1.07 39-7 29.18.22.11-3 11.37.56-70 63-86 52-84 1.05 1.45 7.71 0.54 09 19-8 0.47 47 95. 14. 29-24 31-80 57-44 15.88 0.87 40-0 {July 16. 8.28.52-4 242.47.10-10 13-48 56-6'_ 13.85 1.76 0.81 0.07 20 25-6 2.19 11 87. 16. 35-82 33-33 62-49 7.35 1.78 8-1 23. 14. 12. 5-6 330. 1.16-25 21-11 55-14 5.51 0. 99 5.92 1.42 41 28-0 0.37 15 94. 20. 46-9 45-99 60-92 15.05 1.48 23-7 26.16. 18.54-9 6.58. 5-54 18-63 46-91 1.62 1.33 7.51 1.29 13 28-9 0.01 27 95.12.11-52 14-52 57-00 15.91 0.92 32-0 28. 17.44.37-4 32. 31. 16-98 33-83 43-15 0.21 1.75 7.76 0.71 07 29-8 0.05 36 94. 33. 32-90 36-49 56-4 15. 15 0.55 36-6 Aug. 11. 5.37.18-3 225. 13. 29-02 34-15 54-87 13. 92 2. 18 0.30 1.01 09 33-6 2.81 34 86. 10. 31-56 22-19 69-37 6.08 1.62 13-7 13. 7. 15. 10-5 251.39.68-10 53-78 64-32 13.69 1.67 0.33 0.40 10 34-3 2.79 25 88. 7. 14-39 10-28 64-11 8.29 1.85 9-7 14. 8. 5. 12-4 264. 24. 13-58 12-78 60-80 13.03 1.45 0.60 0.15 16 34-6 2.70 21 89. 13.36-67 39-37 57-30 9.53 1.89 8-4 17. 10. 34. 51-4 301.34.10-57 6-05 64-52 9.49 1.03 2.33 0. 1C 45 35-3 2.13 11 92. 27. 29-47 30-38 59-09 13.12 1.77 7-8 19. 12. 7. 59-5 19. 12. 10. 6-5 326. 0. 59-53 326. 1.62-98 48-07 50-87 71-46 72-11 6.46 6.46 0.97 0.97 3.94 3.94 0.73 0.73 54 54 36-0 36-0 1.59 1.59 08 08 94. 5.20-01 94. 5.24-07 16-99 20-32 63-02 63-75 14.91 14.91 1.51 1.51 9-8 9-8 24.15.42. 3-6 28. 9.50-86 63-61 47-25 0.51 1.61 7.34 1.40 17 37-0 0.32 16 94.33. 29-91 32-54 57-37 15. 29 0.59 21-9 26. 17.13.51-5 54. 20. 46-49 45-13 61-36 0.06 2.10 7.77 0.88 07 37-4 0.06 24 93. 5.54-81 53-11 61-70 13.60 0.27 28-0 Sep. 9. 5. 9.19-5 246. 56. 52-03 55-73 56-30 13.92 1.82 0.42 1.16 12 39-8 2.47 45 87.57.31-42 26-92 64-50 7.98 1.83 23-5 10. 6. 0.10-0 260. 0.40-00 41-34 58-66 13.48 1.59 0.25 0.87 08 40-0 2.64 41 89. 3.39-68 33-13 66-55 9.24 1.89 20-4 12. 7.41.49-8 285. 12.22-14 18-69 63-45 11.64 1.21 0.42 0.27 12 40-3 2.82 33 91. 16. 8-09 8-21 59-88 11.74 1.87 15-0 13. 8.31.25-4 297. 30. 51-76 50-69 61-07 10.36 1.09 0.78 0.07 20 40-4 2.83 28 92. 16. 55-27 56-0959-18 12.90 1.79 126 14. 9.19.26-3 309.44.15-16 16-98 58-18 8.93 1.01 1.29 0.00 30 40-5 2.77 24 93. 10. 46-59 50-58 56-01 13.91 1.69 10-7 15. 10. 5. 37-6 321.56.48-47 38-45 70-02 7.41 0.97 1.93 0.07 40 40-6 2.67 19 93. 55. 40-43 45-71 54-72 14.75 1.55 9-2 17.11.32.56-0 346. 30. 34-05 17-95 76-10 4.40 1.04 3.46 0.55 53 ! 40-8 2.30 13 94. 51. 24-38 30-03 54-35 15.79 1.20 7-5 18. 12. 16. 58-9 358. 56. 66-55 57-17 69-38 3.03 1.15 4.30 0.88 54 40-9 2.06 10 94. 59. 31-75 32-47 69-28 15.93 1.01 7-5 20.13.41. 9-6 24. 13. 23-59 15-43 68-16 0.94 1.48 5.87 1.41 42 41-1 1.52 08 94. 32. 13-80 17-08 56-72 5.40 9.62 9-0 21.14.25. 1-3 37. 6.48-95 43-08 65-87 0.31 1.70 6.54 1.51 32 41-2 1.23 08 93. 57. 12-76 13-74 59-02 14.73 9.45 10-5 Sub. 60-00 Sub. Sub. Sub. Sub. 0.76 Sub. Sub. Sub. Sub. Sub. 60-00 Sub. 0.21 Sub. L.OO Sub. 23-7 7.02' 2.00 4.00 30 20-8 1. 42 30 GREENWICH LUNAR REDUCTIONS. 2 [I] [242] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. = 1 c Change for 0"-1 1 in Argument. Parallactic Inequalily. Variation. Change for 08-1 1 in Argument. Annual Equation. Evection. Change for OS- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. p.n. Excess of Ob- served Ecliptic N. P.O. Effect of Mean Inclination. Change forfls-1 1 in Argument. c . .Se.' 1815. d h m s Sep. 23. 16. 0. 32-2 o / /' 63. 33. 56-62 54-07 n 62-55 e ' 0. 14 2.20 41-3 e ' 0.70 11 / n 92. 9.44-84 tr 41-89 n 62-95 ! g * 12.69 0. 19 15-0 7.49 1.30 14 24. 16. 53. 25-3 77. 12. 54-60 51-78 62-82 0.65 2.47 7.72 1.04 09 41-4 0.47 13 91. 1.35-49 31-14 64-35 11.39 0.12 18-0 27.19.48.54-9 120. 20. 22-54 25-94 56-60 4.31 3.08 7.34 0. 19 17 41-5 0.03 25 87.22. 13-04 9-51 63-53 7.22 0.23 28-3 Oct. 9. 5.35. 1-7 280. 28. 23-86 24-07 59-79 12. 32 1.31 0.31 1.03 09 41-5 2.07 50 91. 7. 28-87 24-85 64-02 11.42 1.88 31-1 10. 0.25.48-6 292. 58. 36-27 37-58 58-69 11.18 1.16 0.22 0.72 07 41-4 2.31 47 92. 10. 12-18 7-94 64-24 12.61 1.82 28-3 12. 8. 1.45-8 317.31. 4-26 12-51 51-75 8.36 0.99 0.67 0.17 15 41-4 2.68 40 93. 52. 17-83 24-22 53-61 14.56 1.58 2-2-4 17.11.36.42-4 19. 46. 68-67 59-32 69-35 1.48 1.36 3.88 0.70 54 41-0 2.63 19 94. 38. 43-85 46-41 5744 15. 52 0.66 10-2 21. 14. 49. 42-1 73. 4.53-59 47-45 66-14 0.29 2.31 6. 83 1.51 27 40-5 1.73 09 91. 9. 49-57 49-48 60-09 11.60 0. 13 7-7 23. 16. 43. 2-9 101. 5.37-47 32-13 65-34 1.98 2.80 7.63 1.19 11 40-3 1.16 08 88.41.12-94 10-35 62-59 8.87 0. 12 10-4 24.17.41.55-1 116.27.27-37 22-85 64-52 3.33 2.99 7.76 0.89 07 40-2 0.88 10 87. 29. 56-46 54-36 62-10 7.52 0.21 12-6 25.19.40.11-8 130. 3. 12-91 9-23 63-68 4.93 3.12 7.73 0.57 08 40-0 0.63 12 86. 27. 16-08 12-46 63-62 6.33 0.34 1 5-4 Nov. 7. 5. 7.24-9 300.15.49-71 46-65 63-06 10. 69 1.12 0.42 1.18 12 37-8 1.29 53 92. 57. 39-83 41-60 58-23 13.37 1.75 38-6 9. 6.41.34-8 324.51.29-51 32-06 57-45 7.78 0.97 0.25 0.58 08 37-4 1.87 51 94. 27. 46 '89 50-82 50-07 15.08 1.47 35-2 13. 9.31.34-7 14.31.36-98 38-59 58-39 2.13 1.25 1.88 0.06 39 36-4 2.71 39 94. 53. 35-09 3439 60-70 15.65 0.72 24-7 14. 10. 14. 47-3 27. 28. 30-30 33-09 57-21 1.14 1.43 2.60 0.24 47 36-2 2.80 35 94.23. 8-48 5-06 63-42 15.11 0.54 21-7 15.11. 0.10-1 40. 43. 23-42 21-81 61-61 0.43 1.64 3.41 0.53 53 36-0 2.83 30 93. 37. 58-20 54-73 63-47 14.30 0.37 18-7 16.11.50.48-5 54.17.43-42 45-99 57-43 0.07 1. 88 4.24 0.86 64 35-7 2.81 26 92. 39. 26-77 24-58 62-19 13.25 0.24 15-6 17.12.42.54-3 68. 8.38-62 38-38 60-24 0.08 2.14 5.05 1.17 50 35-5 2.73 21 91.30.25-34 19-43 65-91 11.99 0. 14 12-9 20.15.36.50-6 111. 4.52-33 52-56 59-77 2.46 2.88 7.09 1.48 23 34-5 2. 18 11 87.41. 4-47 1-08 63-39 7.79 0.18 7-8 22. 17. 32. 44-3 140. 21. 55-93 48-32 67-61 5.59 3.15 7.72 1.05 09 34-0 1.65 08 85. 40. 44-56 43-42 61-14 5.56 0.48 7-9 Dec. 7. 5.19.41-9 331. 58. 33-42 32-52 60-90 7.21 0.97 0.33 1.05 10 29-5 0.80 50 94. 52. 16-86 22-80 54-06 15.47 1.35 39-9 8. 6. 2.26-4 344. 11.34-38 36-98 57-40 5.68 0.99 0.22 0.75 07 29-2 1.07 52 95.11.27-75 40-54 47-21 15.83 1.17 39-9 10. 7. 25. 12-9 8. 54. 23-52 28-32 55-20 2.87 1.16 0.55 0. 18 15 28-6 1.65 52 95. 7.26-81 28-98 57-83 15.76 0.78 38-3 11. 8. 7.12-5 21.35. 1-89 2-46 59-43 1.73 1.31 0.97 0.03 23 28-3 1.93 51 94. 43. 3-47 4-53 58-94 15.33 0.60 36-7 12. 8.51. 1-4 34.34.41-22 43-52 57-70 0.84 1.50 1.55 0.00 34 28-0 2. 19 49 94. 3.46-06 45-27 60-79 14.62 0.43 34-7 13. 9.37.45-0 47.57. 6-07 4-64 61-43 0.26 1.73 2.23 0. 13 43 27-7 2.42 46 93. 10. 15-77 13-22 62-55 13.65 0.28 32-2 14.10.28. 18-2 61.44. 9-78 7-96 61-82 0.03 1.98 3.00 0.37 50 27-0 2.60 42 92. 4.11-17 11-03 60-14 12.46 0.17 29-2 15.11.23. 9-2 75. 55. 47-91 49-66 58-25 0.19 2.24 3.82 0.68 54 26-7 2.74 38 90. 48. 43-98 39-15 64-83 11.09 0. 11 25-8 16.12.24.23-6 90.31. 3-57 7-77 55-80 0.75 2.50 4.65 1.01 53 26-4 2.81 34 89. 27. 59-55 55-44 64-11 9.63 0.10 22-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4. 00 0.76 30 20-8 g V 1.42 30 60-00 10. 21 \\ 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [243] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. a " fll "o J Excess of Observed Longitude. Elliptic Inequality. Change for 08-1 1 in Argument. Parallactic Inequality. Variation. Change for 06-1 1 in Argument. Annual Equation. Evection. Change for 08-1 1 in Argument. Ecliptic N.P.D. of Boon's Center from Observation. Seconds ot Tabular Eclipticl N. P. D. ll* [I Effect of Mean Inclination. Change for OB- 1 in Argument. 1 11815. d h " ! o / a ', " g * \ \v , >, * i s * Oil it II e " > < (Dec. 20. 16.22. 58-3 150. 29. 19-63 13-86 65-77 6.27 3.17 7.28 1.41 18 25-1 2.54 17 85. 10. 40-36 38-59 61-77 4.99 X 64 10-1 21. 17. 15. 51-8 165. 21. 56-70 49-44 67-26 8. 03 3.17 7.61 1.20 11 24-4 2.34 13 84.47. 7-93 1-06 66-87 4.57 9.86 8-5 (.1816. Jan. 11. 9. 6.35-9 68. 40. 27-44 22-17 65-27 0.04 2.08 1.83 0.05 38 17-1 1.73 52 91.26.25-08 19-69 65-39 1.66 0.13 38-9 13. 11. 3.51-8 97. 47. 59-45 59-43 60-02 1.07 2.60 3.35 0.51 53 16-5 2.26 48 88.48. 15-59 9-37 66-22 1 8.77 0.13 35-0 15. 13.11.43-1 128. 32. 65-77 57-17 58-60 3.55 3. 01 5.05 1. 16 50 15-5 2.65 41 86. 22. 28-45 30-81 57-64 6.13 0.37 28-7 17. 15. 8. 3-2 159. 38. 49-39 40-98 68-41 6.94 3.18 6.49 1.51 33 14-9 2.83 32 84. 58. 20-62 20-52 60-10 4.65 0.79 21-2 18. 16. 0. 69-7 174.55. 10-70 5-69 65-01 8.70 3.14 7.06 1.48 23 14-6 2.83 28 84.48.22-11 16-71 65-40 4.50 .03 17-5 21. 18.28.45-7 218. 35. 14-49 11-24 63-25 12.86 2.63 7.77 0.75 07 13-3 2.49 16 86. 16. 62-51 59-22 63-29 6.22 1.64 9-7 Feb. 8. 7.46.29-3 75. 50. 49-38 36-97 72-41 0.11 2.17 0.94 0.04 23 7-8 0.67 49 90. 39. 12-01 4-33 67-68 10.81 0.10 38-0 9. 8.43.43-7 90. 2.37-07 29 33 67-74 0.57 2.44 1.50 0.01 33 7-6 0.93 51 89.23. 11-41 7-59 63-82 9.39 0.11 39-4 11.10.47.14-2 120. 5.21-24 28-07 53-17 2.64 2.91 2.94 0.35 50 7-1 1.52 53 86.56. 6-60 5-63 60-97 6.65 0.30 39-8 12. 11.49. 14-9 135. 46. 20-62 23-07 57-55 4. 14 3.07 3.76 0.67 54 6-8 1.81 52 85. 57. 30-86 26-15 64-71 5.57 0.48 38-7 13. 12.51. 13-4 151.41.26-0-2 31-37 54-65 5.84 3.16 4.59 1.00 53 6-6 2.08 50 85. 16. 41-31 40-14 61-17 4.84 0.70 36-7 15.14.41. 45 183. 15. 60-70 53-55 67-15 9.33 3.11 6.12 1.47 38 5-9 2.53 44 85. 2. 4-52 0-51 64-01 4.62 1.19 30-9 16.15.32.32-8 198.34.50-15 41-83 68-32 10.90 2.97 6.75 1.51 28 5-6 2.68 40 85. 27. 49-33 37-47 71-86 5.12 1.41 27-3 17. 16. 23. 1-5 213. 25. 26-73 25-63 61-10 12.21 2.77 7.25 1.42 19 5-4 2.79 36 86.11. 10-13 5-93 64-20 5.97 1.60 23-7 20.18.56. 18-2 255. 4.62-52 57-38 65-14 14.01 2.01 7.74 0.61 08 4-8 2.74 22 89. 22. 22-23 27-33 54-90 9.61 1.90 14-1 Mar. 7. 6. 30. 47'3 83. 53. 19-01 7-08 71-93 0.24 2.27 0.37 0.33 11 1-8 0.04 35 89.41. 0-12 6-00 54-12 9.86 0.10 27-3 9. 8. 28. 3-5 112.25.46-90 30-76 76-14 1.84 2.77 | 1.17 0.00 27 1-4 0. 30 44 87. 19. 22-76 10-82 71-94 7.16 0.24 33-7 10. 9.28.48-2 127. 29. 30-65 30-04 60-61 3.18 2.97 ! 1.83 0.04 38 1-3 0.50 47 86. 18. 38-13 30-30 67-83 6.00 0.39 36-3 1. 12. 24. 2-5 174. 48. 54-29 64-43 49-86 8.26 3. 16 4.18 0.82 54 1-0 1.31 53 85. 1.16-07 13-0-. 63-05 4.52 1.08 40-0 15. 14. 10. 3-0 206. 13. 28-55 25-34 63-21 11.43 2.90 5.77 1.38 43 0-8 1.88 51 85. 59. 29-1 ; 20-6o 68-48 5.60 1.53 38-0 16. 15. 2. 23-0 221.20.26-64 24-54 62-10 12.62 2.69 6.45 1.51 34 0-6 2.15 49 86. 54. 52-49 47-58 64-90 6.65 1.7 35-9 i April 4. 5.20. 3'5 92.54. 6-08 : 13-21 52-87 0.43 2.38 0.23 0. 78 07 o-o 0. 18 19 88. 38. 17-6C 12-43 65-17 8.82 0.1 14-6 5. 6. 17. 28-6 106. 48. 59-84 62-51 57-33 1. IS 2.63 0.28 0.48 09 o-i 0.07 23 87. 29. 50-38 43-76 66-63 7.52 0.2 17-5 8. 9. 10.41-1 151. 6. 35-54 33-70 61-84 5. 40 3.14 1.46 0. OC 30 0-2 0.0 37 85. 7. 14-96 6-5 68-43 4.76 0.7 28-0 10.10.58.49-5 182. 15. 33-31 35-05 58-26 8. 91 3.1 2.88 0.34 50 0-3 0.3 45 85. 5. 65-56 55-0 70-54 4. 6f 1.2 34-7, 11. 11.51.24-9 197. 55. 35-31 31-21 64-10 10.52 3.0 3.70 0.6,; 54 0-4 0.5 48 85. 38. 38-46 31-2 67-16 5. 21 1.4 37-2 14.14. 34.43-7 243. 19. 22- IS 19-95 62-24 13. 6f 2.3 6. 1- 1.46 39 0-b 1.3 53 88. 49. 28-5f 26-0 62-50 8.14 1.8 39-9 Sub. 60*0(1 Snb. e \ 7. 02 Sub 2.0 Sub Sub. Sub Sub. 20-8 Sub 1. 43 Sub 30 Sub. 60-00 Sub. s \ 10.2 Sub Sub.; 23-7' 4.0 0. V i 30 Mta. 2 [I] 2 [244] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. O Greenwich So . i ^ a. ~ Ecliptic <*- CL* 1 O ^ *& bn Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabulai Longitude Excess of Observe Longitude U :ti Bf Change for ( in Argumen Parallactic Inequality Variation. Change for ( in Argumen Annual Equation. Evection. Change for ( in Argumen N.P.D. of Moon's Center from Observation. Seconds o Tabular Ecli N.P.D. 2 1 = WB; t|s a* Effect of Mean Inclination Change for in Argument Evection ir E. N. P. D. 1816. d h m ! O ' " // s ^ \ \\ * \\ g * v g " O ' '/ // rr e V > April 18. 18. 13. 14-1 297. 27. 32-49 20-10 (72'39) 12.66 1.38 7.75 0.94 08 1-1 2.44 46 93. 22. 8-55 13-53 (55-02) 13.84 1.69 34'1 19.19. 2.51-5 310. 2.22-98 25-39 57-59 11.60 1.21 7.74 0.62 08 1-2 2.62 42 94. 8. 16-70 9-80 66-90 14. 73 1. 55 31-6 May 6. 7.56.11-8 160. 20. 48-36 54-70 53-66 6.06 3.17 0.69 0.12 18 3-8 0.15 20 84. 48. 50-05 41-46 68-59 4.54 0.89 15-0 13.14.11.19-7 264. 44. 54-96 53-0 1 61-95 14.01 1.97 5.72 1.37 44 5-4 0.63 49 90. 50. 49-39 47-70 61-69 11.011.89 37-5 June 2. 5. 52. 30'7 155.42. 0-77 5-89 54-88 4.99 3.12 0.24 0.80 07 11-0 1.20 08 84. 47. 44-86 39-71 65-15 4. 58 0. 85 7.4 3. 6.43.45-1 170. 25. 56-55 65-28 51-27 6.73 3.18 0.27 0.49 09 11-3 0. 92 09 84. 44. 30-03 20-81 69-22 4. 52 1. 08 7-8 9.11.54.29-4 258. 10. 54-32 60-23 54-09 13.96 2.14 3.70 0.63 54 13-3 0.00 30 90. 15.21-82 17-50 64-32 10. 50 1. SO 22-7 10. 12. 53. 47-1 272. 10. 38-27 34-83 63-44 13.97 1.88 4.53 0.96 53 13-6 0.03 35 91. 31. 32-57 29-86 62-71 11.881. 86 26-0 12.14.44.17-0 299. 6 30-01 29-76 60-25 12.89 1.42 6.07 1.45 40 14-2 0.27 43 93. 38. 70-53 57-52 73-01 14. 191.65 32-2 16.17.49. 9-3 349.27.18-85 20-64 58-21 7.75 0.98 7.75 0.96 08 15-4 1.25 52 95. 15. 30-39 32-91 57-48 15.91 0.93 39-3 17. 18. 29. 44-2 1.40.48-97 52-42 56-55 6.21 0.98 7.75 0.65 08 16-0 1.54 53 95. 3.41-40 39-20 62-20 15.69 0.74 3!)-9 July 5. 8.51. 6"2 238. 39. 49-34 61-21 48-13 13.10 2.56 1.13 0.01 27 22-1 0.85 10 88. 30. 15-92 17-29 58-03 8.70 1.87 7-9 7. 10. 40. 37-9 266. 32. 50-25 62-73 47-52 14.01 2.04 2.44 0. 19 46 22-7 0.38 15 91. 1.22-93 22-13 60-80 11.47 1.88 11-0 9. 12. 33. 56-8 293. 32. 54-63 67-72 46-91 13.36 1.55 4.06 0.79 54 23-3 0.08 22 93. 13. 45-31 42-82 62-49 13.88 1.69 15-9 10. 13. 26. 20-9 306. 38. 59-84 65-08 54-76 12.54 1.35 4.88 1. 11 51 24-0 0.01 27 94. 3. 51-05 51-68 59-37 14.78 1.54 18-7 12.15. 1.21-6 332. 5. 5-99 4-33 61-66 10. 13 0.97 6.36 1.50 35 24-6 0.05 36 95. 2.43-29 47-84 55-45 15.82 1.18 24-7 13. 15. 44. 26-4 344.29. 6-80 6-67 60-13 8.69 1.00 6.95 1.50 25 24-9 0. 15 40 95. 10. 25-36 25-33 60-03 15.93 0.98 27-5 Aug. 3. 8. 34. 48-8 202. 1. 55-79 57-81 57-98 13.90 2.20 0.87 0.05 21 31-7 1.61 08 90.42.53-18 56-03 57-15 11.17 1.89 8-5 4. 9.29.56-9 275. 30. 20-88 25-53 55-35 14.00 1.94 1.41 0.00 31 32-0 1.32 08 91.52.21-25 24-51 56-74 12.47 1.83 7-0 7. 12. 7. 25-6 314.39.14-71 30-03 44-68 12.15 1.29 3.64 0.61 53 32-8 0.54 13 94.25.21-98 26-77 55-21 15.29 1.41 8-8 7. 12. 9. 38-5 314. 40. 24-55 38-33 46-22 12. 15 1.29 3.64 0.61 53 32-8 0.54 13 94. 25. 25-94 29-65 56-29 15.29 1.41 8-8 8. 12. 56. 30-7 327.19.21-39 33-26 48-13 10.96 1.14 4.47 0.94 53 33-1 0.33 16 94. 50. 57-49 55-21 62-28 15.74 1.23 1(1-2 Sep. 2. 9.13.32-6 297. 40. 42-90 45-06 57-84 13.52 1.60 1.09 0.01 26 39-0 2.08 11 93.38. 1-73 7-52 54-21 14.39 1.61 12-4 5.11.36. 4-7 335.31.22-98 24-54 58-44 10.47 1.10 3.17 0.44 52 39-4 1.25 08 94. 58. 8-03 12-35 55-68 15.91 1.08 7-9 10.15. 1.59-5 36. 40. 20-50 37-55 42-95 3.15 1.13 6.91 1.50 26 40-2 0. 14 20 92. 44. 56-73 52-23 64-50 13.40 0.25 10-7 11.15.45. 3-4 48.59. 0-00 13-88 46-12 1.96 1.28 7.37 1.38 17 40-3 0.04 25 91.47. 3-43 1-71 61-72 12.30 0. 16 12-6 15.19. 9.45-8 101. 2.52-04 53-07 58-97 0. 12 2.18 7.47 0.26 14 40-7 0.23 42 87.21.48-63 40-10 68-53 7.27 0.23 24-0 Oct. 1. 8.49.37-7 319. 6.46-28 48-67 57-61 12.40 1.33 0.84 0.06 21 41-6 2.64 19 94. 47. 15-39 26-00 49-39 15.58 1.31 21-7 13.17.57.22-7 109. 32. 49-60 52-74 56-86 0.26 2.28 7.76 0.69 07 41-2 0.03 26 86.31.24-10 25-56 58-54 6.47 0.32 11-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. II e \ * x\ \ \\ s > w \ g > w If g V \ \\ . 60-00 7.02 2.00 4. 00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [245] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Second? of Tabular Longitude. Excess of Observed Longitude. if w f Change for 0?-1 1 in Argument. Parallactic Inequality. Variation. 1 Change for Os-1 in Argument. Annual Equation. Evection. Change for Os-I in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. .0.2 O.g. . If c-S pi *! Change for Os-1 in Argument. 5Q I* (1816. * k O / II it it s * N \ \\ e * \ s * O ' /' " H g - ,Oct. 15.19.50.25-0 137. 59. 10-26 17-22 59-04 1.89 2.78 7.28 0.17 18 41-0 0.03 35 85. 7.47-42 46-58 60-84 4.86 0.69 17-2 27. 5. 55. 59-4 301.55.48-19 54-68 53-51 13.65 1.66 0.29 1.00 09 39-6 2.55 43 94. 17. 0-66 5-05 55-61 14.84 1.53 38-2 28. 6. 46. 9-2 314. 48. 17-98 26-06 51-92 12. 97 1.44 0.23 0.69 07 39-5 2.70 39 94. 50. 12-16 18-48 53-68 15.48 1.35 36-6 29. 7. 32. 42-3 327. 23. 10-23 21-00 49-23 12.00 1.26 0.34 0.38 10 39-4 2.80 35 95. 8.37-09 40-62 56-47 15.84 1.16 34-5 31. 8.57.31-0 352. 0. 4-69 14-93 49-76 9.40 1.03 1.05 0.01 25 39-1 2.81 26 95. 1.33-51 34-81 58-70 15.76 0.78 29-5 .'Nov. 2. 10. 17. 17-2 16. 22. 15-42 13-20 62-22 6.38 0.97 2.33 0. 16 45 38-7 2.60 18 94. 0.21-1922-02 59-17 14.68 0.44 24-0 3. 10. 57. 38-9 28. 36. 22-06 20-45 61-61 4.88 1.02 3.12 0.42 51 38-6 2.42 14 93. 12. 17-89 16-15 61-74 13.82 0.30 20-9 6. 13. 13. 14-4 66. 2.32-07 38-26 53-81 1.21 1.41 5.56 1.33 46 37-8 1.68 08 90. 1. 14-40 6-20 68-20 10.35 0.10 13-1 7. 14. 3. 43-3 78. 52. 16-26 16-01 60-25 0.48 1.62 6.27 1.49 37 37-6 1.39 08 88. 50. 51-53 52-71 58-82 9.07 0. 12 11-0 10.16.48. 7-8 118.52.18-10 14-31 63-79 0.45 2.39 7.64 1.16 10 37-0 0.59 12 85. 48. 40-30 36-99 63-31 6.72 0.44 7-5 24. 4.37.57-8 309. 28. 14-97 23-86 51-11 13.43 1.57 0.75 1.36 18 33-5 1.64 52 94. 43. 32-42 37-78 54-64 15.31 1.41 38-9 28. 7. 35. 17-1 359.40.25-77 44-75 41-02 8.85 1.00 0.44 0.26 12 32-1 2.59 43 94. 51. 25-73 28-81 56-92 15.46 0.64 38-9 29. 8.14.58-1 11.50.37-87 52-82 45-05 7.34 0.97 0.81 0.07 20 31-9 2.73 38 94. 18.23-17 25-40 57-77 14.87 0.48 37-7 iDec. 1. 9.36. 7-0 36. 19. 46-77 48-30 58-47 4.33 1.05 1.98 0.07 40 31-3 2.83 29 92. 38. 42-53 42-87 59-66 13.06 0.22 34-1 8. 15.39.29-7 128. 35. 38-79 34-18 64-61 0.70 2.49 7. 12 1.47 22 28-9 1.60 08 85. 19. 32-50 22-47 70-03 5.12 0.59 13-5 10. 17. 24. 58-8 157. 2. 9-02 6-51 62-51 2.88 2.94 7.73 1.02 08 28-3 1.03 09 84. 43. 32-55 32-49 60-06 4.50 1.02 9-3 11.18.14.48-0 171. 31.65-06 55-32 69-74 4.40 3.09 7.76 0.71 07 28-0 0.77 10 84. 54. 44-70 45-28 59-42 4.72 1.25 8-0 13. 19.52.51-6 200. 59. 34-84 31-06 63-78 7.87 3.17 7.31 0.18 17 27-0 0.32 16 86. 15. 14-54 13-18 61-36 6.20 1.64 7-7 25. 5.30.54-6 354. 39. 32-85 43-91 48-94 9.76 1.05 0.31 1.02 09 23-1 1.42 53 94. 57. 13 72 19-02 54-70 15.60 0.70 36-3 26. 6. 11. 0-3 6.54. 3-86 20-13 43-73 8.29 0.99 0.22 0.71 07 22-8 1.71 52 94.29. 6-55 12-89 53-66 15.06 0.52 38-0 27. 6.50.41-6 19. 4. 6-57 21-21 45-36 6.76 0.97 0.31 0.41 10 22-5 1.99 51 93.49. 4-91 8-72 56-19 14.31 0.37 39-1 29. 8. 13. 16-7 43. 34. 21-45 33-31 48-14 3.81 1.08 1.01 0.02 25 21-5 2.46 45 91.59.32-09 29-25 62-84 12.27 0. 16 40-0 1817. Jan. 3. 12. 34. 38'3 109.27.21-69 29-77 51-92 0.04 2.06 4.71 1.04 52 19-8 2.78 24 86. 25. 36-78 34-12 62-66 6.16 0.37 32-7 5.14.28. 7-4 138. 0. 13-50 10-97 6253 1.01 2.58 6.27 1.48 37 18-8 2.51 16 85. 4. 55-83 55-47 60-36 4.72 0.75 26-3 7.16.12.26-6 167. 9.52-87 43-86 69-01 3.43 3.00 7.34 1.40 17 18-1 2.07 10 84.57. 8-21 3-70 64-51 4.64 1.20 19-2 8.17. 1.35-2 181.48.23-99 29-10 54-89 5.04 3.13 7.64 1.17 11 17-8 1.80 09 85. 22. 57-08 47-73 69-35 5.15 1.42 15-9 10. 18. 39. 10-8 211. 2.30-45 29-01 61-44 8.53 3. 15 7.72 0.56 08 17-1 1.24 08 87. 5.17-42 23-41 54-01 7.10 1.75 10-5 11. 19.29.59-5 225. 35. 42-48 41-55 60-93 10. 18 3.04 7.49 0.29 13 16-8 0.96 09 88. 15. 18-35 20-07 58-28 8.42 1.86 8-9 27. 7.36.25-5 63. 6. 35-54 46-46 49-08 2.08 1.26 0.78 0.08 19 11-5 1.78 52 90. 5. 51-85 40-92 70-93 10. 21 0. 10 36-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 1. 02 \ \v 2.00 4.00 6.76 30 20-8 1. 42 30 60-00 10.21 i.oo 23-7 ' [246] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. & y .^ f! 3 1* Change for 0-1 1 in Argument. Parallactic Inequality. c _0 ."as 1 Change for OS- ll in Argument. Annual Equation. Evection. 1 Change for OS- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. A& a. -=1 2l > < 1 1 Effect of Mean Inclination. Change for 08-1 in Argument. ;. .28, f z ; ww 1817. d h m ' O t ft ft n a * * \ v\ g " " \ s ' " O I If tt n ^ \ \\ Jan. 30.10.17.12-9 102. 54. 39-87 45-93 53-94 0.06 1.90 2.66 0.25 48 10-3 2.51 44 86. 49. 26-48 18-43 68-05 6.53 0.31 39-9 31. 11. 15.32-5 117. 3. 56-90 67-12 49-78 0.10 2.16 3.46 0.54 53 10-0 2.67 40 85. 57. 44-42 35-55 68-87 5.57 0.48 39-8 Feb. 1.12.13.26-8 131.37.25-58 27-92 57-66 0.54 2.42 4.30 0.87 54 9-7 2.78 36 85.20. 11-92 5-62 66-30 4.88 0.68 38-9 1.12. 15.51-0 131.38.52-19 52-81 59-38 0.54 2.42 4.30 0.88 54 9-7 2.78 36 85.20. 7-99 2-83 65-16 4.88 0.68 38-9 6. 16. 36. 19-9 206. 34. 45-30 42-61 62-69 7.44 3. 18 7.49 1.30 14 8-1 2.46 15 87. 0.10-22 9-24 60-98 6.85 1.73 252 7.17.27. 1-9 221. 16. 38-69 34-50 64-19 9. 18 3.12 7.72 1.04 09 7'8 2.25 12 88. 7.57-11 57-94 59-17 8. 15 1.84 21-7 21. 4. 2. 12-3 33.25.31-80 34-60 57-20 5.61 0.99 0.60 1.29 15 4-4 0. 13 40 92.21. 1-99 4-47 57-52 12. 94 0.21 16-1 26. 8. 1.41-7 96.17.32-13 23-22 68-91 0.23 1.74 0.97 0.03 24 3-4 1.27 53 87. 5.32-30 25-14 67-16 6.94 0.26 30-4 27. 8.58.32-6 109. 59. 19-27 15-54 63-73 0.03 1.99 1.55 0.01 34 3-2 1.57 52 86.12.10-14 1-17 68-97 5.92 0.41 33-3 Mar. 3. 12. 44. 18-9 169.29. 15-15 11-48 63-67 3.07 2.96 4.71 1.03 52 2-4 2.56 43 85. 15. 39-88 36-89 02-99 4.78 1.28 40-0 4. 13. 36. 20-8 185. 1.37-18 32-58 64-60 4.62 3. 10 5.51 1.30 46 2-2 2.71 39 85.52.31-52 31-69 59-83 5.46 1.50 39-7 6. 15. 20. 4-9 215. 50. 13-25 11-19 62-06 8.11 3.16 6.83 1.51 27 1-9 2.83 30 87. 56. 13-40 11-88 61-52 7.77 1.81 36-6 8.17. 9.13-7 245. 33. 25-89 21-05 64-84 11.32 2.91 7.63 1.19 11 1-6 2.73 21 90.30. 7-04 9-51 57-53 10.67 1.90 31-1 9.18. 6.24-4 259. 53. 49-76 47-99 61-77 12.55 2.70 7.76 0.89 07 1-4 2.59 18 91. 44. 8-49 17-25 51-24 12. 08 1.85 27-8 10. 19. 4. 13-4 273. 53. 55-54 54-44 61-10 13. 42 2.45 7.73 0.57 08 1-3 2.40 14 92. 50. 19-35 20-49 58-86 13.34 1.75 24-5 23. 4. 9.57-2 65. 34. 17-50 18-72 58-78 2.36 1.22 0.44 1.19 12 0-2 0.00 32 89.21.41-38 33-96 67-42 9.67 0. 10 10-1 27. 7.41.20-1 117.27.47-56 38-33 69-23 0.05 2.09 0.75 0.09 19 0-1 0.54 48 85.35.48-72 40-46 68-26 5.39 0.52 20-2 28. 8.37.12-7 131. 32.67-19 55-80 71-39 0.39 2.36 1.25 0.00 29 o-o 0.79 50 85. 5.25-59 16-40 09-19 4.79 0.72 23-5 31.11.18.18-0 176. 44. 49-66 45-10 64-56 3.62 3.02 3.41 0.52 53 o-o 1.65 52 85. 29. 59-64 56-14 63-50 5.12 1.41 33-7 April 1. 12. 12.53-4 192. 29. 66-40 57-63 68-77 5.26 3.14 4.24 0.86 54 o-o 1.93 51 86. 20. 23-63 17-97 65-66 6.02 1.61 36-4 2. 13. 5. 53-8 208.17.34-84 31-53 63-31 7.01 3.18 5.05 1.17 50 o-o 2.19 49 87.27.41-51 37-69 63-82 7.24 1.77 38-6 23. 5.32.38-6 112. 16. 18-98 15-13 63-85 0.04 1.93 0.23 0.76 07 1-6 0.00 28 85.41.1322 7-28 65-94 5.60 0.47 8-1 27. 9. 3.59-9 168.55.24-19 11-39 72-80 2.71 2.92 1.55 0.01 33 2-2 0.38 45 85. 6.60-03 58-37 61-66 4.86 1.32 17-0 May 2. 13. 38. 47'5 246. 59. 32-68 31-93 60-75 10.97 2.96 5.45 1.29 47 3-1 1.73 52 90.55. 1-31 1-91 59-40 11.11 1.89 a4-9 4. 15. 42. 30-1 277. 8. 7-30 5-48 61-82 13.24 2.52 6.79 1.51 28 3-4 2.26 48 93. 24. 26-54 30-85 55-69 13.84 1.70 38-9 5. 16. 42. 20-9 291.28.54-80 56-76 58-04 13.83 2.25 7.28 1.41 18 3-6 2.48 45 94. 18.11-47 11-12 60-35 14.82 1.53 39-8 24. 6.55.57-6 162.56.29-21 29-52 59-69 1.92 2.79 0.38 0. 32 11 8-3 0.03 25 84. 54. 48-02 38-83 69-19 4.72 1.25 7-5 25. 7.45. 2-1 177.31.42-28 39-82 62-46 3.25 2.98 0.72 0.10 18 8-5 0.00 30 85. 26. 17-20 21-43 55-77 5.29 1.46 8-2 26. 8.34.25-3 r 192. 28. 29-67 23-67 66-00 4.83 3. 12 1.21 0.00 28 8-8 0.03 34 86.17. 4-02 6-96 57-06 6.22 L64 9-7 Sub. 60-00 Sub. g \ 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. ff ^ 1.42 Sub. M 30 Sub. 60-00 Sub. 10.21 Sub. i. ob Sub. 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [247] Greenwich Mean Solar Time of Observation of Moon's Limb. . Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. y .*j* .5-1 ^ CT* W J Change for Os-1 in Argument. Parallactic Inequality. Variation. Change for 05-1 I in Argument. Annual Equation. Evection. Change for 0-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. Excess of Ob- served Ecliptic N. P. D. Effect of Mean Inclination. \i s a II 5.3 'c ~" "u ^ u ' t . ' 1817. d k m 8 May 27. 9.25.22-4 O r n 207- 43. 53-33 // 53-70 n 59-63 6.56 9-1 s 0.11 39 o / >/ 87. 24. 23-22 // 30-61 It 52-61 * v 7.44 1.79 12-0 3.18 1.83 0.05 38 31. 13. 23. 5-9 269. 40. 32-90 37-10 55-80 12.68 2.67 5.05 1.15 50 10-1 0.94 61 92.51. 14-95 16-04 58-91 13.35 1.75 25-8 June 20. 4. 52. 5T4 158. 26. 56-21 54-09 62-12 1.25 2.65 0.34 1.08 10 16-7 0.87 10 84. 54. 17-09 7-05 70-04 4.64 1.20 14-1 23. 7.17.29-9 201.46. 1-85 4-87 56-98 5.48 a. 15 0.53 0.20 14 17-6 0.22 18 87. 1.27-11 28-47 58-64 7.05 1.75 8-1 24. 8. 8. 9-6 216. 40. 4-16 7-03 57-13 7.23 3.18 0.94 0.04 23 18-2 0.09 22 88. 13. 35-03 32-18 62-85 8.39 1.85 7-5 25. 9. 2. 6-7 231.45. 7-98 8-88 59-10 8.98 3.13 1.50 0.01 33 18-6 0.02 26 89.33.40-81 44-84 55-97 9.87 1.90 7-6 28.12. 4.13-0 277. 13. 11-98 16-05 55-93 13.03 2.58 3.76 0.66 54 19-5 0.14 40 93. 22. 47-93 46-62 61-31 14.06 1.66 12-9 29. 12. 0. 44-8 277. 14. 45-47 46-70 58-77 13.04 2.58 3.76 0.66 54 19-5 0. 14 40 93. 22. 54-46 52-74 61-72 14.06 1.66 12-9 30. 14. 6. 45-2 306. 27. 28-52 32-98 55-54 14.00 2.06 5.40 1.28 47 20-2 0.50 47 94. 51. 18-48 9-11 69-37 15.64 1.28 18-9 July 6. 18. 35. 34'8 24. 18. 39-46 47-21 52-25 8.82 1.00 7.74 0.62 08 22-4 2. 14 49 92. 42. 27-18 24-43 62-75 13.10 0.22 36-9 21. 6. 3.46-7 211.49.26-81 32-69 54-12 6. 14 3.17 0.24 0.63 07 27-4 1.07 09 88. 0. 12-11 10-95 61-16 8.07 1.84 163 24. 8.48.27-8 256. 1.53-23 57-92 55-31 11.15 2.94 1.17 0.00 27 28-3 0.35 15 91.50. 4-31 11-57 52-74 12.40 1.83 9-0 25. 9.49.24-1 270. 47. 30-97 47-04 43-93 12. 42 2.73 1.83 0.04 38 28-9 0. 18 19 92.58.38-13 47-77 50-36 13.68 1.72 7'8 26. 10. 50. 49-7 285. 26. 46 80 58-29 48-51 13.34 2.48 2.55 0.22 47 29-2 0.07 23 93. 54. 52-15 54-75 57-40 14.72 1.55 7-4 27. 11. 50. 13-8 299. 53. 18-24 26-91 61-33 13.87 2.22 3.35 0.49 52 295 0.01 28 94. 34. 54-43 59-61 54-82 15.46 1.36 7-8 28.12.48. 6-1 314. 2.56-79 65-79 51-00 14.01 1.90 4. 18 0.82 54 29-8 0.01 32 94.57. 18-14 12-99 65-15 15.86 1.14 8-9 30. 14. 25. 46-7 341. 12.38-60 41-70 56-96 13. 15 1.49 5.77 1.38 43 30-3 0. 18 41 94. 48. 39-57 36-28 63-29 15.66 0.72 12-8 Aug. 1. 15. 50. 38-7 6. 53. 56-63 54-34 62-29 11.08 1.15 7.02 1.49 24 30-9 0.56 48 93.41. 3-52 2-88 60-64 14.35 0.38 17-7 3. 17. 11.36-7 31.32.50-98 50-61 60-37 8.26 0.99 7.70 1.09 09 31-7 1.08 52 91.54.11-13 9-11 62-02 12. 32 0. 16 23-5 5. 18. 37. 21-1 55. 53. 36-87 39-49 57-38 5.21 1.00 7.69 0.48 09 32-3 1.66 52 89. 47. 45-03 36-74 68-29 9.93 0.10 29-2 21. 7.41.20-0 265.51.28-00 32-11 55-89 11.67 2. 86 0.51 0.21 14 36-4 1.27 08 92.48. 9-32 10-43 58-89 13.39 1.75 18-7 22. 8.41.29-5 280. 13. 51-33 56-14 55-19 12.81 2.64 0.90 0.04 22 36-6 0.99 09 93.45. 8-90 10-15 58-75 14.48 1.60 15-4 24. 10. 36. 29-7 308. 25. 59-67 75-67 44-00 13.97 2.12 2.13 0. 11 42 37-0 0.49 13 94.52.51-93 51-55 60-38 15.77 1.21 10-5 25. 11.28.30-9 322. 10.24-09 36-57 47-52 13.95 1.86 2.88 0.34 50 37-4 0.30 16 95. 0.44-34 44-53 59-81 15.93 0.99 8-9 29. 14. 26. 21-5 14.13.29-15 34-00 55-15 10.59 1. 11 6.07 1.46 39 38-2 0.02 33 93. 0.49-07 43-11 65-96 13.70 0. 29 8-4 Sep. 1.16.31.13-1 50.57. 9-79 5-80 63-99 6.15 0.98 7.58 1.24 12 38-7 0.40 46 89.58.30-31 29-47 60-84 10.28 0. 10 13-3 2. 17. 16. 35-9 63. 8. 2-42 1-08 61-34 4.65 1.03 7.75 0.96 08 39-0 0.62 49 88. 54. 4-43 1-47 62-96 9.06 0. 12 15-6 3. 18. 4. 54-2 75.27. 9-56 4-75 64-81 3.26 1.12 7.75 0.64 08 39-1 0.88 51 87.51.61-28 52-78 68-50 7.88 0.18 18-2 4.18.56. 93 88. 0.28-29 21-69 66-60 2.04 1.26 7.58 0.35 12 39-3 1. 16 52 86. 54. 48-56 43-40 65-16 6.80 0.28 21-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 a \ 7.0-2 2. 00 4. 00 0.76 30 208 1.42 30 60- 00 10.2i 1.00 23-7 - [248] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. |ll C ^ 8 c2 "5 V r* a 'A *- O O h^ Excess of Observed Longitude. .s.-T a- Change for OB- 1 I in Argument. Parallactic Inequality. Variation. Change for 08- ll in Argument. f- ; Annual Equation. Evection. Change for Os-1 1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation . Seconds of Tabular Ecliptic N.P.D. Excess of Ob- served Ecliptic I N. P. D. Effect of Mean Inclination. Change for 08-1 I in Argument. Evection in E. N. P. D. 1817. d h m ' t It tt rt S > > * ' s * \\ O / " " n e > > Sep. 19. 7.35.16-2 290. 4. 5-64 5-26 60-38 13.16 2.54 0.37 0.34 11 41-1 2.03 10 94. 27. 34-41 37-70 56-71 15.14 1.46 28-3 21. 9.23.57-9 317. 32. 12-52 14-24 58-28 14.01 2.02 1.17 0.01 27 41-2 1.48 08 95. 6.36-14 42-98 53-16 15.92 1.05 21-7 22. 10. 12.25-1 330. 52. 24-60 31-01 53-59 13.85 1.77 1.78 0.04 37 41-3 1.20 08 95. 6. 31-56 35-10 56-46 15.84 0.84 18-7 24. 11.39. 59-9 356. 48. 19-56 23-57 55-99 12.48 1.34 3.29 0.47 52 41-4 0.66 11 94. 2.55-35 56-44 58-91 14.82 0.47 13-3 28. 14. 26. 46-0 46.20. 6-95 10-39 56-56 7.10 0.97 6.40 1.60 35 41-5 0.03 25 90. 12. 17-12 16-74 60-38 10.59 0. 1( 7-6 Oct. 1. 16. 47. 33-2 82. 57. 21-82 1654 65-28 2.77 1. 17 7.69 1.11 10 41-6 0.12 39 87. 3.51-77 47-36 64-41 7.09 0.25 8-6 2. 17. 39. 26-5 95. 28. 34-76 25-59 69-17 1.64 1.33 7.78 0.81 07 41-6 0.26 43 86.12. 6-84 5-58 61-26 6.13 0.37 ' 9-8 3. 18. 32. 48-0 108. 17. 54-66 47-90 66-76 0.77 1.52 7.69 0.50 09 41-6 0.45 46 85. 30. 28-60 26-34 62-32 5.34 0.53 11-7 4. 19. 26. 31-4 121.30. 8-32 7-71 60-61 0.22 1.75 7.42 0.24 15 41-6 0.69 49 85. 1.39-10 39-06 00-04 4.78 0.72 14-1 22. 10. 19. 49-6 5.11.16-37 16-82 59-55 12.10 1.28 2.08 0.10 42 40-4 1.69 08 93. 34. 51-99 52-19 59-80 14.17 0.35 26-0 26. 13. 7. 44-6 54. 14. 7-73 10-18 57-55 6.52 0.97 5.29 1.24 48 39-8 0.61 12 89. 25. 14-96 11-46 63-50 9.66 0.10 15-0 27. 13. 53. 43-8 66. 23. 43-61 48-99 54-62 5.00 1.01 6.02 1.44 40 39-6 0.39 15 88. 19. 28-29 25-28 03-01 8.46 0.14 12-8 28. 14. 42. 16-7 78.37. 2-19 3-72 58-47 3.58 1.10 6.67 1.52 30 39-5 0.22 18 87. 17. 56-35 52-09 64-26 7.34 0.22 10-8 31.17.17.47-7 116. 15. 32-40 31-15 61-25 0.52 1.61 7.74 0.97 08 39-1 0.00 31 85. 4.46-57 44-62 61-95 4.92 0.66 7-5 Nov. 1. 18. 9. 43-7 129.21.29-07 26-08 62-99 0.10 1.84 7.75 0.66 08 38-9 0.05 36 84.45.51-88 47-80 64-08 4.57 0.86 7-5 15. 6. 7.20-9 322.23.33-11 53-74 39-37 13.99 2.08 0.28 0.97 08 36-0 2.81 34 95. 16. 56-16 65-86 50-30 15.91 0.92 39-8 18. 8.19.36-3 .1.13. 5-53 17-94 47-59 12.71 1.39 0.66 0.13 17 35-0 2.71 21 93.51.56-13 57-84 58-29 14.35 0.38 38-7 19. 8. 59. 41-2 13.36.40-18 45-78 54-40 11.67 1.22 1.13 0.01 26 34-8 2.57 17 92. 59. 53-84 52-76 61-08 13.40 0.25 37-3 21. 10. 20. 38-8 38. 1.35-14 30-26 64-88 8.99 I. 01 2.44 0.18 46 34-3 2.16 11 90. 55. 13-89 20-45 53-44 11.14 0.11 33-3 24.12.38.39-0 74.36. 3-35 5-45 57-90 4.45 1.04 4.88 1.09 51 33-5 1.34 08 87.38. 7-66 4-66 63-00 7.57 0.20 25-5 26. 14. 20. 53-0 99.25. 11-70 9-71 61-99 1.89 1.29 6.36 1.50 35 32-7 0.79 10 85. 52. 33-61 34-45 59-16 5.68 0.45 19-7 Dec. 2. 19. 17. 40'2 179. 16. 15-60 12-68 62-92 1.52 2.71 7.44 0.25 14 31-0 0.01 32 86. 3. 12-68 13-02 59-66 6.00 1.61 7-6 18. 8.18.58-3 33. 53. 38-80 45-98 52-82 9.88 1.06 0.84 0.06 21 25-8 2.83 29 91. 13. 46-55 34-82 71-73 11.40 0.12 39-9 23. 12. 16. 13-3 95. 17. 45-01 46-04 58-97 2.60 1. 19 4.42 0.93 53 23-8 2.09 11 86.10.31-16 27-89 63-27 5.85 0.42 35-0 28.16.28. 1-6 160. 42. 23-38 27-10 56-28 0.29 2.30 7.53 1.27 13 21-8 0.72 11 85. 19. 16-40 14-53 61-87 5.05 1.38 20-7 29.17.13.56-1 1818. 174. 25. 54-62 60-41 54-21 0.93 2.56 7.74 0.99 08 21-5 0.49 13 85. 56. 59-70 60-65 59-05 5.77 1.57 17-5 Jan. 14. 6.15.28-2 29. 16. 28 65 41-35 47-30 10.73 1.12 0.23 0.68 07 15-8 2.29 48 91. 24. 57-37 57-62 69-75 11.71 0.13 30-9 17. 8.26.30-6 65.47. 5-21 13-57 51-64 6.31 0.98 1.09 0.01 25 14-9 2.77 37 88.13.53-79 49-19 64-60 8.11 0.16 37-3 18. 9.15.17-8 78. 4.42-33 49-57 52-76 4.81 1.02 1.68 0.02 36 14-6 2.83 32 87. 15. 46-51 42-14 64-37 7.02 0.25 38-7 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 0.21 Sub. \ \\ 1.0.0 Sub. 23-7 2.00 4.00 - SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PIACE. [249] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. L Seconds of Tabular Longitude. Excess of Observed Longitude. 0.1 if N- 1 Change for 0-1 1 in Argument. Parallactic Inequality. Variation. Change for 08-1 1 in Argument. 1 Annual Equation. Evection. Change for O-'l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Erlipticl N. P. D. HP 8 Effect of Mean Inclination. Change for 0^-1 1 in Argument. li 1118 18. d " m s >|Jan. 19. 10. 6.37-9 O / II 90. 33. 35-10 a 41-02 n 54-08 g V 3.39 a * 0.17 vv 45 \ 14-2 s < 2.82 27 O ' // 86. 24. 50-66 II 43-03 67-63 f 6.07 0.38 i 39-5 1.11 2.38 20. 10. 59. 35-9 103. 16. 9-73 16-95 52-78 2. 16 1.25 3.17 0.43 52 13-6 2.76 23 85. 43. 41-22 34-44 66-78 5.30 0.54 40-0 21.11.52.51-1 116. 13.29-81 34-57 55-24 1. 15 1.42 4.00 0.75 54 133 2.64 19 85. 14. 58-72 51-73 66-99 4.77 0.73 39-8 26. 15. 58.20-0 184. 13. 19-64 20-81 58-83 1.27 2.65 7.37 1.38 17 11-8 1.47 08 86.47.22-10 16-92 65-18 6.57 1.69 30-4 28. 17. 32. 48-0 212. 39. 21-07 22-94 58-13 3.86 3.04 7.77 0.85 07 10-9 0.91 09 89. 1.32-86 34-61 58-25 9.12 1.88 23-7 29. IS. 23. 58-8 227. 9.31-40 29-23 62-17 5.53 3.15 7.71 0.53 09 10-6 0.66 11 90. 17. 51-53 57-98 53-55 10.57 1.90 20-2 I Feb. 13. 6. 19. 32-4 60. 50. 13-29 19-30 53-99 7.27 0.97 0.26 0.54 08 6-3 1.83 52 88. 23. 14-99 9-38 65-61 8.44 0.14 22-7 14. 7. 7. 9-0 73. 2.33-34 39-96 53-38 5.73 ). 99 0.44 0.26 13 6-1 2.10 50 87.24.31-72 26-07 65-65 7.33 0.22 25-8 16. 8.49.34-5 97.55.33-21 40-15 53-06 2.90 1.16 1.33 0.00 30 5-6 2.54 44 85.49.41-90 32-66 69-24 5.51 0.49 31-3 17. 9.42.47-2 110. 44. 65-02 61-44 53-58 1.74 1.31 1.98 0.08 40 5-4 2.69 40 85. 18. 27-43 19-18 68-24 4.91 0.67 33-9 20. 12. 19. 22-4 151. 6.22-98 20-80 62-18 0.03 1.98 4.36 0.91 53 4-6 2.81 26 85. 15. 48-02 48-53 59-49 4.79 1.29 39-2 27. 18. 12. 19-0 252. 7.34-17 40-63 53-54 7.96 3.17 7.76 0.69 07 3-0 1.39 08 92. 38. 55-95 58-17 57-78 13.08 1.78 29-7 Mar. 13. 4. 59. 7'2 67. 58. 16-24 16-24 60-00 6.68 ). 97 0.30 1.01 09 1-1 0.77 50 87. 33. 36-23 28-39 67-84 7.64 0.20 10-8 16. 7.31.37-8 105. 5. 14-63 17-46 57-17 2.44 1.21 0.60 0.15 16 0-7 1.62 52 85. 18. 30-60 23-14 67-46 5.08 0.61 17-7 17. 8.24.11-0 117.55.12-61 13-69 58-93 1.37 1.38 1.05 0.02 25 0-6 1.91 51 84. 56. 58-29 49-50 68-79 4.65 0.80 20-7 20. 10. 65. 17-2 158. 35. 49-68 43-69 65-99 0.04 2.07 3.12 0.41 51 0-4 2.59 43 85.29.23-71 19-63 64-08 5.15 1.42 30-2 21. 11. 43. 19-0 172. 54. 25-98 19-40 66-58 0.35 2.34 3.94 0.73 54 0-3 2.73 39 86. 15. 10-74 5-18 65-56 5.96 1.60 33-3 23. 13. 22. 31-5 202. 24. 12-63 11-08 61-55 2.11 2.82 5.56 1.33 46 0-2 2.83 30 88.30. 2-68 2-51 60-17 8.40 1.85 38-0 29. 19. 10. 2-6 291.39.20-74 28-24 52-50 11.73 2.86 7.72 0.54 09 o-i 1.88 09 94. 58. 43-69 43-36 60-33 15.63 1.29 34-7 jkprillS. 6.14.15-0 112.26.43-07 39-80 63-27 2.01 1.27 0.25 0.56 08 0-5 0.59 48 84. 56. 25-42 16-40 69-02 4.75 0.73 8-3 15. 7.55.19-9 138. 19. 19-77 21-37 58-40 0.37 1.67 0.78 0.07 20 0-7 1.12 52 84. 47. 43-82 40-84 62-98 4.56 1.14 11-3 18. 10. 19. 4-3 180. 9. 21-35 10-71 70-64 0.57 2.43 2.66 0.26 48 1-0 1.98 51 86.41.54-93 50-50 64-43 6.58 1. 70 19-9 19. 11. 7. 34-7 194. 59. 6-55 2-04 64-51 1.40 2.68 3.46 0.55 53 1-1 2.23 48 87. 51. 48-44 44-61 63-83 7.85 1.82 23-5 25.17. 3. 0-7 286. 55. 37-66 35-26 62-40 10. 88 2.97 7.51 1.29 13 1-9 2.78 24 94. 54. 45-41 49-33 56-08 15.51 1.34 39-7 28. 19. 48. 23-1 329.34.27-12 34-39 52-73 13.80 2.27 7.63 0.40 10 2-3 2.31 13 94.57. 7-38 0-38 67-00 15.57 0.68 38-6 May 11. 4.58.21-4 120. 18.20-60 16-69 63-91 1,61 1.33 0.31 1.03 09 4-8 0.02 34 84. 46. 49-56 43-56 66-00 4.55 0.88 9-6 13. 6. 35. 33-3 146. 1.33-17 36-80 56-37 0.21 1.76 0.31 0.42 09 5-2 0.24 42 84.57.41-41 38-75 62-66 4.77 1.28 7-6 14. 7. 22. 6-3 159. 23. 43-40 45-29 59-11 0.03 2.01 0.57 0.17 15 5-4 0.42 46 85. 27. 34-25 32-12 62-13 5.33 1.47 7-4 15. 8. 8. 10-0 173. 11.38-52 38-60 59-92 0.23 2.27 1.01 0.02 24 5-6 0.65 49 86. 13. 50-24 50-14 60-10 6.18 1.64 7-9 Sub. 60-00 Sub. S -: 7.02 Sub. 2. 00 Sub. 4.00 Sub. 0.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. 10.21 Sub. 1 . 00 Sub. 23-7 GREENWICH LUNAR REDUCTIONS. 2[K] [250] KKDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .S. 0.1 Ef Change for OB- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os- ) 1 in Argument. ll C rt C z; Evection. Change for 0?'l in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. > u - 'ZS C Ci. . s'^ KC; 11* g| Effect of Mean Inclination. Cbitnee for OS' in Argument. Kvcction in E. N.P. n. 1818. d h "' ' O til it n > V \\ \ \\ e < \ a v ' " // it e * , May 19. 11.31. 56'5 233. 3. 30-52 33-39 57-13 4.69 3.11 3.88 0.71 54 6-8 1.78 52 91. 18. 5-67 8-93 56-74 11.73 1.87 17-2 25. 17. 44. 26-3 324. 58. 12-96 13-80 59-16 13.47 2.44 7.64 1.17 11 8-5 2.83 32 95. 1.53-68 50-69 62-99 15.67 0.73 37-2 27.19.17.13-6 352. 7. 24-35 26-47 57-88 13.99 1.91 7.72 0.56 08 9-1 2.75 23 93.48. 9-91 9-16 60-75 14.28 0. 37 3!)-7 . June 11. C. 2. 6-9 167.42.12-48 11-75 60-73 0.06 2.11 0.25 0.58 08 13-6 0.00 31 86. 1.30-72 25-19 65-53 5.90 1.59 1-2-2 12. 6.46.51-9 181.20.59-71 59-78 59-93 0.42 2.37 0.40 0.29 12 13-9 0.04 35 86. 54. 57-89 58-56 59-33 6.91 1.73 10-1 13. 7.3-2.49-5 195. 26. 4-96 0-72 64-24 1.16 2 62 0.75 0.09 19 14-2 0.13 39 88. 1.12-23 13-07 59-16 8. 15 1.84 8-6 15. 9.14.15-0 225. 3.39-38 31-18 68-20 3.69 3.03 1.88 0.06 39 14-8 0.48 47 90. 38. 23"25 30-04 53-21 11.08 1.89 7-5 18. 12.25.30-2 272. 23. 34-01 43-23 50-78 8.87 3. 13 4.30 0.87 54 16-0 1.27 52 94.10.57-34 56-73 60-61 14.97 1.50 12-2 20. 14. 36. 10-2 303. 48. 5-09 7-24 57-85 11.90 2.83 5.87 1.41 42 16-7 1.86 51 95. 6. 13-58 14-65 58-93 15.93 1.04 18-7 22. 16. 26. 2-0 333. 19. 27-89 31-81 66-08 13.69 2. 34 7.09 1.47 22 17-3 2.36 47 94. 36. 3-39 2-79 60-60 15.30 0.59 25-8 26. 19.20.26-1 26. 12. 12-08 6-67 65-41 12.70 1.38 7.64 0.43 10 18-9 2.83 30 90. 58. 57-26 49-36 67-90 11. 16 0. 11 :5(>-6 July 11. 6. 14. 14-9 204. 18.25-47 28-29 57-18 1.54 2.71 0.30 0.44 09 24-0 0.08 23 88. 59.34-19 30-29 63-00 9. 15 1.89 18-0 13. 7.57.13-0 233.29. 14-12 9-05 65-07 4.29 3.08 0.97 0.03 24 24-6 0.00 32 91.32.23-22 28-24 54-98 12. 05 1.85 1-2-0 15.10. 0.37-0 2(54. 18. 13-24 14-49 58-75 7.77 3.17 2.23 0. 13 43 25-2 0.17 41 93. 46. 49-51 55-48 54-03 14.57 1.58 8-2 16.11. 7.25-5 280. 4. 19-93 24-15 55-78 9.51 3.10 3.00 0.38 51 25-6 0.33 45 94.32.15-89 15-01 60-88 15.41 1.37 75 17.12. 13. 14-4 295. 48. 52-42 53-70 58-72 11.06 2. 95 3.88 0.70 54 26-2 0.54 48 94. 56. 19-47 50-31 59-16 15.87 1.14 7-7 18.13.17.21-5 311.20. 10-00 2-67 67-33 12. 35 2.74 4.71 1.03 52 26-5 0.79 50 94.59. 14-15 8-30 65-85 15.89 0.89 S'8 20.15. 3.57-8 340. 57. 29-19 18-14 71-05 13.85 2.24 0.22 1.48 38 27-1 1.36 53 94. 3.34-14 41-05 53-09 14.82 0.47 12-9 21. 15.50.27-5 354.57. 9-70 9-49 60-21 14.01 1.98 6.83 1.51 27 27-4 1.65 52 93. 13. 25-08 24-38 60-70 13.86 0.31 15-6 22. 16. 34. 15-3 8. 25. 41-90 39-81 02-09 13.79 1.73 7.31 1.41 18 27-7 1.93 51 92. 13. 58-71 52-87 05-84 12. 73 0.19 18-7 23. 17. 16.43-2 21.26.54-55 58-8!) 55-66 13.21 1.50 7.63 1.19 11 28-0 2. 19 49 91. 9. 12-20 7-85 64-35 11.49 0. 12 21-7 Aug. 11. 7.45.53-4 257.51.46-0-2 51-16 54-86 0.67 3.18 0.75 0.09 19 33-8 0.16 20 93.34. 15-16 14-73 60-43 14.22 1.64 20-4 12. 8.49.523 273. 4.50-03 55-61 54-4-2 8.44 3. 15 1.25 0.00 28 34-1 0.05 24 94.22.41-31 42-66 58-65 15.16 1.45 17-0 | 13. 9.54.46-0 288.26.39-31 48-85 50-46 10. 12 3.05 1.88 0.05 39 34-3 0.00 28 94. 62. 46-24 45-11 61-13 15.74 1.23 13-7 16. 12.51. 18-3 333. 50. 38-45 37-31 61-14 13.55 2.40 4.24 0.86 54 35-3 0.21 42 94.17.24-62 24-01 60-61 15.13 0.54 7-9 17.13.40. 10-1 348. 16. 19-78 15-80 63-98 13.96 2. 14 5.05 1. 17 50 35-5 0.39 45 93. 29. 42-09 40-53 61-56 14.24 0.36 7-4 20. 15. 52. 58-4 28.47.49-56 60-83 58-73 12.91 1.43 7.06 1.4S 23 36-2 1. 14 52 90. 16. 3-99 3-54 60-45 10. 62 0. 10 10-1 22. 17.21. 51-0 53. 59.21-07 16-36 64-71 10.70 1. 12 7.71 1.06 09 36-6 1.72 52 88. 4.26-39 21-86 64-53 8.14 0. 16 14-1 24. 18. 58. 4-9 78. 32. 33-35 31-72 61-63 7.79 0.98 7.65 0.45 10 37"2 2.25 48 86. 17. 17-68 8-39 69"29 6. 10 0. 3S 19-4 Sub. 60-00 Sub. K \ 7.02 Sub. Sub. Sub. e . 0.76 Sub. kl 30 Sub. 20-8 Sub. e \ 1. 42 Sub. t| 30 Sub. 6<)'-00 Sub. K \ 10.21 Sub. 1. 00 Sub. 2:i-7 2. 00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [251] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. >, O ,J J-l 3 f Change for Os-1 1 in Argument. Paralhictic Inequality. Variation. Change for OS- 1 1 in Argument. a cC O 3 ' 1 < S Evection. Change for O 1 -"! in Argument. Ecliptic N.P.D. of Moon's Center from Observation. seconds ot Tabular Ecliptic N. P. D. 44 0.5-x <*- "o " o w p; * *T3 * 'CvZ. X t* w Effect of Mean Inclination. If - tl, fcC %< 5.S 4rf 2ft< z 3,55 w {818. J h m 3 / II n tf g v \ \\ \ \\ a v \ g v ' H // // s * \ \\ \ *ep. 8. 6. 40. 22-0 267. 53. 6-76 11-77 54-99 7.35 3.18 0.29 0.45 09 39-7 0.95 09 94. 19.58-06 61 67 56-39 14.96 1.50 33-1 10. 8.45.23-8 297.42.46-12 56-58 49-54 10.71 2.99 0.97 0.03 23 40-1 0.46 14 95. 8. 29-35 30-25 59-10 15.92 1.06 26-5 12. 10. 37. 57-7 327. 14. 25-09 30-99 54-10 13.09 2.56 2.23 0. 13 43 40-3 0.12 21 94.35.55-71 49-95 65-76 15.38 0.61 19-4 13. 11.27. 54-1 341. 39. 46-79 49-02 57-77 13.75 2.31 3.00 0.37 50 40-4 0.03 25 93. 52. 18-22 21-36 56-86 14.60 0. 42 16-1 16.13.45. 11-0 22. 54. 33-85 34-62 59-23 13.39 1.56 5.45 1.29 47 40-7 0. 11 39 90. 38. 56-49 53-15 63-34 11.07 0.11 9-2 17. 14. 29. 10-6 35. 56. 35-09 35-04 60-05 12. 58 1.36 6. 17 1.47 38 40-9 0.25 43 89. 27. 66-06 57-25 68-81 9.76 0. 10 8-1 21.17.40. 17-2 85. 48. 29-85 2257 67-28 7.22 0.97 7.76 0.92 08 41-2 1.21 52 85.41. 19-23 12-91 6632 5.55 0.48 9-0 22. 18. 31.43-3 98. 6. 7-58 7-71 59-87 5.67 0.99 7.74 0.60 08 41-3 1.51 53 85. 9.37-89 38-39 59-50 4.95 0.65 10-5 Jet. 7. 6.39. 9-2 293. 4. 30-78 27-18 63-60 9.73 3.08 0.24 0.61 08 41-5 1.71 08 95. 13.40-15 43-16 56-99 15.89 I. 11 38-9 8. 7.37.43-7 307.40.48-16 49-56 58-60 11.25 2.92 0. 38 0.31 11 41-5 1.43 08 95. 12.52-85 53-56 59-29 15.89 0.88 37"2 12. 10.53. 8-0 3. 50. 56-48 58-88 57-60 14. 00 1.94 2.55 0.23 47 41-3 0. 40 15 92. 18. 14-20 6-11 68-09 12. 74 0.19 26-0 14. 12. 22.20-3 30 23. 54-33 53-82 60-51 13. 12 1.48 4.18 0.83 54 41-2 0.09 22 89.55.59-12 55-51 63-61 10.17 0.10 19-7 1C. 13. 53. 16-5 55. 56. 43-38 46-95 56-43 11.02 1. 15 5.77 1.39 43 41-0 0.00 31 87. 39. 27-30 22-75 64-55 7.69 0.19 14-3 17. 14.41.34-4 68. 25. 45-13 43-62 61-51 9.65 1.04 6.45 1.51 34 41-0 0.04 35 86.41. 17-43 12-69 64-74 6.64 0. 30 120 20. 17. 14. 12-0 105.21. 8-60 1 82 66-78 5. 10 1.01 7.70 1.08 09 40-6 0.49 47 84. 52. 36-76 35-98 60-78 4.67 0. 78 7-9 22. 18.53.31-1 130. 13. 34-67 31-64 63-03 2.39 1. 22 7.67 0.46 10 40-4 1.00 52 84.48. 4-49 2-39 62-10 4.59 1.17 7-6 Vov. 7. 8. 6.38-6 345. 46. 13-93 11-94 61-99 13. 62 2.37 0.53 0.20 14 37-8 1.91 09 93. 39. 43-66 4242 61-24 14.11 0.34 39-7 8. 8.50.53-1 359. 17. 19-69 13-21 66-48 13.98 2.11 0.94 0.04 23 37-6 1. 64 08 92. 40. 24-04 21-60 62-44 13.02 0.22 38-8 12.11.45.20-2 51. 4. 2-95 3-62 5933 11.78 1.23 3.76 0.65 54 36-6 0.56 12 88. 5. 6-52 4-01 62-51 8.00 0.17 30-4 13. 12.34.59-1 63. 36. 57-08 56-16 60-92 10.52 1. 10 4.59 0.98 53 36-4 0.35 15 87. 4. 16-17 8-35 67-82 6.91 0.27 27-5 16.15. 6.53-1 100.38.16-72 11-88 64-84 6. 05 0.98 6.75 1.52 29 35-7 0.01 28 85. 3.16-95 15-26 61-69 4.76 0.73 18-9 17. 15.57. 31-1 112. 54.28-24 20-37 67-87 4.55 1.03 7.25 1.43 19 35-5 0.01 32 84. 48. 37-67 38-42 59-25 4.52 0.92 16-3 18. 16.46.29-3 125. 13. 34-05 26-34 67-71 3. 16 1. 13 7.60 1.23 12 35-0 0.06 37 84.48.26-69 16-61 70-08 4.54 1.11 13-7 19. 17. 33. 26-5 137.39.57-09 46-71 70-35 1.97 1.27 7.75 0.94 08 34-8 0.18 41 85. 2.36-36 27-51 68-85 4.83 1.30 11-7 20. 18. 18. 32-4 150. 18. 14-80 15-55 59-25 1.01 1.46 7.74 0.62 08 34-5 0.34 45 85.31.18-47 9-79 68-6S 5.38 1.48 9'8 21. 19. 2. 28-3 H>:$. 14.20-07 13-83 66-24 0.36 1.67 7.56 0.34 12 34-3 0.55 48 86.13.59-68 61-11 58-57 6. 18 1.64 8-5 Deo. 3. 5. 15. 51-5 327. 20. 24-26 43-11 41-15 12. 23 2.77 0.48 1.21 13 30-7 2.83 29 94. 32. 34-54 38-54 56-CO 15.17 0.55 32-0 5. 6. 50. 4-7 355. 12.27-76 29-75 58-01 13. 81 2.27 0.24 0.62 07 30-1 2.69 20 92. 51. 59-63 62-15 57-48 13.25 0.24 36-9 10. 10. 28. 44-5 59. 18. 65-00 59-75 65-25 11.33 1. 18 2.49 0.21 46 28-6 1.57 OS 87. 23. 49-27 46-59 62-68 7.14 0.24 39-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4.00 0. 76 30 20-8 f. 42 30 60-00 10. 21 i. oo 23-7 J [K] 2 1*252] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. i Excess of Observed Longitude. .B .1-1 Sj Change for 08- 1 1 in Argument, i Parallactic Inequality. Variation. Change for OS- 1 I in Argument, j a 2 .9 'rt c = -* CSS Effect of Mean Inclination. Change for 0'l 1 in Argument. *.* .20, S.-- ? ^ wa 1819. d h '" ' July 31. 6.58.52-7 O t It 236. 44. 20-48 // 24-31 56-17 0.87 2.54 0.57 g " 0.16 16 30-3 s * 0.07 37 ' II 93. 28. 12-49 II 19-01 // 53-48 s * 4.06 1.67 25-5 Aug. 1. 7.56.56-5 251. 19. 38-93 42-90 56-03 1.87 2. 78 1.01 0.02 25 30-9 0. 19 41 94. 17. 22-56 23-62 58-94 5.00 1.49 21-9 2. 9. 0.21-8 266. 28. 27-55 32-64 54-91 3.20 2.98 1.59 0.02 35 31-2 0.36 45 94. 50. 30-25 35-70 54-55 5. 65 1.28 1S'4 5.12.17.36-1 313. 59. 22-07 22-16 59-91 8.33 3.16 3.94 0.73 54 32-0 1. 12 52 94. 20. 53-96 50-76 63-20 15.19 0.56 !)-(J 8. 14.56.40-4 0. 14. 34-41 48-47 45-94 2.66 2.68 6.27 1.49 37 33-1 1.98 51 91. 6.28-34 25-81 02-53 11.60 0.13 7-7 9.15.43.51-8 14.43.15-53 25-04 50-49 13.49 2.43 6.87 1.51 26 33-3 2.23 48 89. 49. 31-61 23-53 68-08 10.15 0.10 8-7 14. 19. 47. 46-2 80.44. 1-41 3-36 58-05 2.00 1.26 7.49 0.28 13 34-6 2.83 28 85. 15. 30-08 19-17 70-91 4. 95 0.65 20-4 29. 6.45.53-2 260. 10. 27-94 34-43 53-51 2.34 2. 80 0.42 0.28 12 38-0 0.04 25 94.49.51-28 47-65 63-63 15.48 1.35 34-5 31. 8.53.31-9 290.21.17-78 31-49 46-29 5.46 i. 15 1.29 0.00 30 38-3 0.02 34 95. 7.50-70 53-9b 56-74 15.89 0.88 28-0 Sep. 1. 9. 56. 11-7 305. 54. 58-67 70-21 48-46 7.22 3. 18 1.93 0.07 40 38-7 0. 10 38 94.44. 4-79 0-59 64-20 15.48 ). 65 24-2 3.11.49.52-8 337.11.29-29 28-13 61-16 0.59 3.00 3.52 0.56 53 39-0 0.42 46 92.56. 4-19 1-6T 62-53 13.55 0.27 16-8 5. 13. 32. 19-3 7.36. 6-92 14-57 52-35 13.02 2.59 5.17 1. 19 49 39-3 0.91 51 90. 20. 42-04 40-01 6-2-03 10. 73 0.10 11-0 10.17.40.53-1 76. 5.42-07 43-33 58-74 12.65 1.37 7.73 1.03 09 40-1 2.30 48 85.15.47-61 39- 1( 68-45 5.09 0.60 8-3 12. 19.25.51-8 101. 9.34-06 37-56 56-50 10.28 1.08 7.63 0.41 10 40-3 2.67 40 84.45.29-70 31-37 58-33 4. 50 0.98 11-3 26. 5.39.43-1 269. 55. 34-56 40-12 54-44 2.86 2.93 0.22 0.73 07 41-5 0. 65 11 95. 10. 43-87 46-14 57-73 15.81 1.18 40-0 28. 7. 43. 27-3 299. 34. 27-45 39-94 47-51 6.12 3.17 0.57 0. 17 15 41-5 0.24 18 95. 0. 52-20 48-61 63-59 15.65 0.72 38-2 30. 9.36.40-4 329.52. 11-08 15-68 55-40 9.60 3.09 1.59 0.01 34 41-6 0.02 26 93. 29. 32-46 33-92 58-54 14.01 0.33 33-5 Oct. 1.10.28.10-1 345. 1.28-06 31-91 56-15 11.13 2.94 2.28 0.14 44 41-6 0. 01 31 92.20. 10-88 2'32 68'5( 12. 75 0.19 !sO-2 2.11. 17.24-0 0. 2.42-31 45-92 56-39 12.40 2.73 3.06 0.39 51 41-6 0.04 35 91. 1.26-45 22-87 63-58 11.33 0. 12 26-8 3. 12. 7. 52-0 14. 51. 19-51 23-46 56-05 13.32 2.49 3.8* 0. 71 54 41-6 0. 13 40 89.39.41-73 37-61 64-12 9.85 0.10 23-2 5.13.45.54-0 43. 26. 25-98 31-4 54-51 14.01 1.97 5.51 1.31 46 41-6 0. 48 47 87. 10. 27-92 26-69 61-23 7.15 0.24 16-5 7.15.30. 59 70. 30. 15-30 1428 61-02 13.17 1.49 6.83 1.51 27 41-5 0.98 51 85. 27. 20-31 6-57 73-74 5.28 0.55 11-3 9. 17. 17. 20-6 96. 11. 31-2C 28-06 63-20 11.10 1.15 7.63 1. 18 11 41-4 1.57 53 84.44. 15-54 7-49 68-05 4.51 0.9 8-4 10.18. 9.12-1 108. 39. 19-23 21-31 57-92 9.75 1.05 7.76 0.88 07 41-4 1.85 51 84. 45. 41-77 37-5fi 64-2 4.55 1.1 7-6 11. 18. 58.34-0 120. 57. 59-02 63-28 55-74 8.27 0.99 7.73 0.5" 08 41-4 2. 12 50 85. 1.40-76 35-60 65-16 4.84 1.3 7-4 12. 19.45. 7-3 133.12.27-81 34-4~ 53-34 6.73 0.97 7.51 0.29 13 41-3 2. 3t 47 85.31. 5-89 2-40 63-49 5.38 1.4 i 7-8 25. 5. 37. 10-8 294. 53. 52-60 50-65 61-95 5.05 3.13 0.21 0.89 OS 40-0 1.38 08 95. 5.57-19 56-Oij 61-10 15. 74 0.7 37-5 26. 6. 35. 22-0 309. 38. 50-81 5T6 53-20 6. 80 3.18 0.2. 0.58 08 39-9 1.10 09 94.36.41-3-2 45-51 55-8 15. It 0.5 39-0 Nov. 22. 4.30.41-9 305. 12. 0-0" 4-3- 55-70 5.71 3. 1C 0. 6( 1. 30 16 34-3 2. 3d 13 94. 38. 12-64 8-65 63-99 15.31 0.6 27-0 Sub. Sub. Sub. Sub. Sub. Sub Sub Sub Sub Sub Sub. Sub Sub. 60-00 7.0-. 2. 00 4. 00 0.76 30 20-8 X 1.4'. 30 60-00 10.21 1.0 23-7 'j SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [255] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for OS- 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 in Argument. Annual Equation. Evcction. Change for 0?' 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. Excess of Ob- 1 served Ecliptic 1 N. P. D. Effect of Mean Inclination. Change for 0?-] 1 in Argument. d .0 CL. 1* KW 11919. i i> in s o / it it e \ \\ \ \\ g * < * v O 1 II ft r ' \ \\ X Nov. 2t. G. 17. 53-4 334.38.21-58 25-81 55-77 9.21 3.11 0.22 0.74 07 33-8 1.87 09 92. 57. 52-60 47-34 65-16 13.40 0.25 33-5 25. 7. 6. (i-2 349. 4. 15-87 1732 58-55 10.79 2.98 0.30 0.43 09 332 1.59 08 91.49.30-73 30-33 60-40 12.11 0. lf> 36-1 27. 8.38.20-5 17. 22. 64-47 59-89 64-58 13. 13 2.55 0.97 0.03 24 32-7 1.02 09 89. 19.61-25 56-27 64-98 9. 31 0.11 39-4 29. 10. 13. 40-6 45. 1.35-95 29-42 66-53 14.01 2.03 2.23 0.13 43 32-1 0.52 13 87. 3.47-65 41-69 65-96 6.78 0.28 39-9 'Dee. 1. 12. 0.19-1 71.57.57-13 57-43 59-70 13.35 1. 55 3.82 0.69 54 31-6 0.16 20 85. 30. 41-00 37-13 63-87 5.08 0.61 37-9 2. 12. 54. 54-0 85. 6. 8-32 9-54 58-78 12.52 1.35 4.65 1.02 52 31-3 0.05 24 85. 6. 4-41 1 57 62-84 4.64 0.80 36-1 3. 13.49.11-0 97. 59. 53-10 52-81 60-29 11.41 1.19 5.45 1. 30 47 30-7 0.00 28 84.57. 5-43 1-52 63-91 4.50 1.00 33-9 J* 10.19. 1.22-3 184.28.22-03 17-20 64-83 1.66 1.32 7.53 0.31 13 28-3 1.13 52 89. 38. 34-40 32-65 61-75 9.90 1.90 14-8 24. 6.36.51-8 13. 11. 19-91 17-72 62-19 12.55 2.70 0.25 0.59 08 238 2.30 13 89.28.24-08 23-86 60-22 9.58 0. 10 27-8 25. 7.22.49-7 27. 0.59-63 53-88 65-75 13. 42 2.46 0.40 0.30 11 23-5 2.06 10 88. 17.20-71 21-83 58-88 8.24 0.15 30-9 27. 8.59.24-3 53. 59. 10-05 15-97 60-08 14.00 1.93 1.25 0.00 28 22-5 1.52 08 86.20. 4-46 1-34 63-12 6.01 0. 39 30-1 29. 10. 44. 37'7 80. 14.30-71 28-42 62-29 13. 07 1.47 2.60 0.23 47 21-8 0.95 09 85. 12. 41-67 40-34 61-33 4.73 0. 75 39-1 31.12.34. 4-1 105. 49. 44-81 44-99 59-82 10.93 1.14 4.24 0. 85 54 21-1 0.46 14 85. 4. 57-66 55-67 61-99 4.57 1. 15 40-0 1820. Jan. 1. 13. 24. 36-4 118.20.42-50 37-35 65-21 9.50 1.04 5.05 1.16 50 20-8 0.27 17 85.22.49-71 53-81 55-90 4.91 1.33 39-5 3. 14. 56. 9-3 142.54.41-28 35-35 65-93 6.53 0.97 6.49 1.51 33 19-8 0.03 25 86. 35. 50-42 50-01 60-41 6.27 1.65 37-3 4. 15. 37. 45-2 155. 3. 5-56 2-28 63-28 5.02 1.01 7.06 1.48 23 19-5 0. 00 30 87.27. 8-84 4-00 64-84 7.24 1.77 35-6 5. 16. 17. 39-9 167.11.27-56 18-89 68-67 3.61 1.09 7.47 1.33 15 19-1 0.02 34 88.25.25-61 23-36 62-25 8.34 1.85 33-3 22. 6. 7.35-5 36.26.35-18 34-02 61-10 13. 65 2.36 0.23 0.70 07 13-3 2.75 22 87. 16. 48-52 42-53 65-99 7.20 0.23 18-0 23. 6.56.34-1 49. 56. 58-76 59-91 58-85 13.99 2.09 0.29 0.45 09 13-0 2.63 18 86.21. 8-11 0-24 67-87 6. 19 0.30 21-2 24. 7. 47. 29-9 63. 10. 14-19 1063 57-56 13.93 1. 84 0. 53 0. 19 15 12-7 2.45 15 85. 38. 23-78 20-45 63-33 5.30 0. 53 24-2 27. 10. 26. 45-9 101.34.51-89 60-93 50-96 11.69 1.22 2. 18 0. 12 43 11-5 1.72 OS 84.58.41-05 40-80 60-85 4.53 1.10 32-9 31.13.35.54-8 150.51.55-45 54-82 60-63 5.96 0.98 5.40 1. 28 47 10-3 0.63 12 87. 16.51-44 52-74 58-70 7.01 1.75 39-4 'Feb. 1.14. 1C. 15-3 103. 0.19-77 27-34 52-43 4.47 1.04 6. 12 1.40 39 10 0.41 14 88. 15. 23-82 19-23 64-59 8.09 1.84 39-9 4.16.15. 1-6 199. 50. 51-59 48-02 63-57 0.98 1.46 7.60 1.22 12 8-9 0.02 26 91. 30. 54-37 47-25 67-12 11.72 1.87 38-4 8. 19. 32. 3-9 253. 7. 76-08 59"22 76-80 0.61 2. 45 7. 19 0. 13 20 7-S 0.28 44 94.51.45-98 51-19 54-79 15.54 1.3-2 29-2 22. 7. 29. 14-4 84. 53. 57-95 64-59 53-30 13.25 1.52 0.38 0. 32 11 4-4 2. 81 26 84. 49. 34-59 28-99 65-60 4.56 0.80 14-3 26.10.49.21-7 134.37.59-57 07-44 52-13 8.43 0. 99 2.55 0.22 47 3-4 2. 18 11 86. 8.45-72 51-83 53-89 5. 90 1.59 25-5 27. 11. 32. 33-4 146. 48. 54-20 55-11 59-09 6.90 0.97 3.35 0.50 52 3"2 1.92 09 86.58.58-83 52-65 06-18 6.80 1. 72 28-3 28. 12. 15. 36-7 158.59.58-30 61-53 50-77 5.38 1.00 4. 18 0.82 54 3-0 1. 65 08 87.57. 8-39 14-93 53-46 7.85 1.82 30-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. - 6()"-00 7.02 2. oo V XX 4.00 \ 0.76 XX 30 20-8 g 1.42 \\ 30 06-00 a \ 10.21 x \\ 1.00 2:5-7 [256] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. ~A* g 3 = 31 D H 5 c/2 - <; o *J Excess of Observed Longitude. if 3 f IChangeforOS'i 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. Annual Equation. Evection. Change for 05- 1 1 in Argument. ' Ecliptic N. P. D. of Moon's Center from Observation. Seconds of i Tabular Ecliptic 1 N. P. D. ; Excess of Ob- serred Ecliptic N. P. D. Effect of 1 Mean Inclination. Change for OS- 1 1 in Argument. Evection in E. N. P. D. 1820. <1 h m s o / // " " g ' V V> * e v \ a v Oil ff n s * V V - Mar. 3. 14. 56. 6'0 208.26. 0-14 1-48 58-66 0.70 1.54 6.98 1.49 24 2-4 0.57 12 92.21.33-41 33-66 59-75 12.66 1.81 38-8 4. 15. 40. 44-4 221. 14. 42-16 44-88 57-28 0.19 1.77 7.42 1.35 15 2-2 0.36 15 93. 20. 55-23 52-48 62-74 13.75 1.71 39-7 6. 17.22.41-7 247.52. 9-00 5-81 63-19 0.27 2.29 7.78 0.78 07 1-8 0.07 23 94. 49. 15-53 16-22 59-31 15. 3S 1.38 39-7 8. 19.21.47-6 276. 11. 63-72 48-21 75-51 1.92 2.79 7.39 0.22 15 1-6 0.01 32 95.15.38-19 53-74 44-45 15.92 0.95 37-0 20. 5.21. 1-3 80. 0.38-48 47-92 50-56 13.64 1.65 0.35 1.08 10 0-3 2.42 46 84.49. 9-09 7-74 61-35 4.63 0.81 7-5 23. 7.59.23-9 118. 10. 23-94 33-03 50-91 10.75 1.12 0.51 0. 20 14 0-2 2.82 34 85.15. 3-04 1-38 61-66 5.07 1.39 9-2 24. 8.46.28-0 130. 26. 47-79 49-91 57-88 9.35 1.03 0.90 0.04 23 0-1 2.83 29 85.51.28-69 18-93 69-70 5.72 1.56 10-8 25. 9.30.29-6 142. 37. 19-81 25-30 54-51 7.85 0.98 1.46 0.00 33 0-1 2.79 24 86.38.33-88 35-38 58-50 6.58 1.69 12-8 29.12.13.31-6 191.43.45-44 45-98 59-46 2.19 1.24 4.53 0.97 53 o-o 2.12 11 90.54. 8-72 7-64 61-08 11.20 1.89 23-2 30. 12. 54. 56-8 204. 21. 18-43 22-14 56-29 1.18 1.42 5.34 1.26 48 o-o 1.86 09 92. 1.20-84 14-93 65-91 12.42 1.83 26-3 31. 13. 38. 59-4 217. 12. 18-82 17-35 61-47 0.46 1.63 6.07 1.45 39 0-0 1.58 08 93. 3.26-67 23-75 6-2 '92 13.54 1.73 -29-2 April 3. 16. 14. 36-9 257. 23. 23-27 16-68 66-59 0.46 2.39 7.58 1.24 12 o-o 0.75 11 95. 6.33-35 35-48 57-87 15.76 1.22 36-9 6. 19. 13. 44-8 300. 19. 10-20 11-19 59-01 3.85 3.04 7.58 0.34 12 0-1 0. 15 20 94.38.24-12 19-47 64-65 15. 22 0.57 40-0 18. 4.59.49-2 100. 33. 43-93 49-71 54-22 12.61 1.37 0.48 1.22 13 1-0 1.74 52 84. 49. 40-34 38-36 61-98 4.58 1.15 11-7 19. 5.52.16-1 113.18.47-45 57-51 49-94 11.53 1.20 0.27 0.94 08 1-1 2.01 50 85. 8. 9-67 3-13 66-54 4.93 1.34 10-0 20. 6. 41. 8-8 125. 46. 37-31 50-87 46-44 10.23 1.08 0.24 0.63 07 1-3 2.26 48 85. 39. 63-15 58-49 64-66 5.53 1.52 8-6 21. 7.26.31-0 138. 2.42-31 52-87 49-44 8.79 1.00 0.37 0.34 11 1-4 2.48 45 86. 23. 27-01 22-93 64-08 6.34 1.66 7-8 22. 8. 8.59-4 150. 12. 39-21 50-45 48-76 7.28 0.97 0.69 0.11 18 1-5 2.65 41 87. 16.11-76 13-21 58-55 7.32 1.78 7-4 23. 8.49.28-4 162.22.19-16 24-76 54-40 5.75 0.99 1.17 0.01 27 1-6 2.76 37 88. 16. 25-50 23-38 62-12 8.43 1.86 7-6 24. 9.29. 0-6 174. 36. 50-75 53-88 56-87 4.27 1.05 1.78 0.04 37 1-7 2.82 33 89.21.30-33 36-81 53-52 9.63 1.90 8-3 25. 10. 8.41-5 187. 0.56-84 55-90 60-94 2.93 1. 16 2.49 0.20 46 1-9 2.83 28 90.29. 16-73 20-97 55-76 10.88 1.90 9'4 28. 12. 22. 13-6 225. 44. 39-70 28-24 71-46 0.28 1.72 4.94 1. 11 51 2-5 2.50 16 93.37. 3-81 2-14 61-67 14.30 1.63 16-1 29. 13. 13.30-3 239.14.35-10 28-20 66-90 0.03 1.96 5.72 1.37 44 2-6 2.29 13 94. 22. 49-07 47"27 61-80 15.13 1.46 18-9 30.14. 9.11-3 253. 2.34-15 21-06 73-09 0.17 2.23 6.40 1.50 35 2-8 2.05 10 94.54.22-79 21-72 61-07 15.68 1.26 22-2 May 1. 15. 8. 18'2 267. 6.28-00 15-08 72-92 0.72 2.49 6.98 1.50 25 2-9 1.78 09 95. 8.54-31 58-01 56-30 15.92 1.05 25-8 4. 18. 5. 10-7 310. 24. 34.14 39-21 54-93 4.46 3.09 7.78 0.80 07 3-4 0.94 09 93. 59. 46-32 44-24 62-08 14.57 0.42 35-0 5.18.58.35-5 325. 4. 4-74 16-60 48-14 6.17 3.17 7.69 0.49 09 3-8 0.68 11 93. 1.57-94 71-21 4673 13.48 0.26 37-3 19. 6. 4.10-9 145.19. 4-51 13-46 51-05 8.23 0.9!) 0. 24 0.80 07 6-8 1.52 52 87. 4.48-99 50-67 58-32 7.03 1.75 15-6 20. 6.45.22-3 157. 28. 44-87 59-57 45-30 6.70 0.97 0.27 0.49 09 7-0 1.81 52 88. 1. 56-63 57-07 59-56 8.10 1.84 13-3 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. ' 60-00 g . 7.02 i. oo V \\ 4. 00 0. 76 30 20-8 1.42 30 60-00 0.21 V U 1.00 23- 7 SECT. III. COMPARISON or MOON'S OBSERVED AND TABULAR PLACE. [257] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. jfl 3 g Change for Os-1 in Argument. Parallactic Inequality. d .2 1 Change for Os- 1 in Argument. Annual Equation. Evection. Change for Os-1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. Excess of Ob- 1 served Ecliptic 1 N.P. D. Effect of Mean Inclination. Change for Os-1 1 in Argument. 1 uu Q.>M <1 h m 8 May 21. 7.25. 2-7 O i n 169. 38. 39-64 it 49-37 n 50-27 5.18 1.01 7-5 e * 2.08 M 50 O 1 II 89. 4. 29-46 II 24-06 n 65-40 g N 9.28 1.89 11-3 0.48 0.22 14 22. 8. 4.21-5 181.54.45-84 57-50 48-34 3.75 1.08 0.87 0.05 22 7-8 2.32 47 90. 9.43-28 51-81 51-47 10. 51 1.90 9-7 23. 8.44.31-2 194.23.11-70 15-58 56-12 2.47 1.21 1.41 0.00 32 8-0 2. 52 44 91.15.47-74 47-40 60-34 11.74 1.87 8-4 25.10.12.21-0 220. 15. 28-05 32-91 55-14 0.61 1.57 2.83 0.31 49 8-5 2.78 36 93.17. 4-84 3-02 61-82 14.01 1.67 7-4 29. 14. 0. 31-9 27.6. 27. 72-21 58-66 73-55 1.03 2.59 6.02 1.45 40 9-9 2.62 18 95. 0. 0-12 0-60 69-52 15.88 0.88 13-1 30. 15. 1. 53-7 291. 9.73-10 58-13 74-97 2.10 2.82 6.71 1.52 30 10-1 2.44 15 94. 40. 32-89 31-93 60-96 15.49 0.65 16-1 31.16. 0.32-9 305.55.61-94 55-86 66-08 3.48 3.01 7.22 1.44 20 10-4 2.23 12 94. 2.24-30 19-28 65-02 14.76 0.45 19-4 tune 4. 19. 22. 14-7 4.29.12-12 24-26 47-86 10.24 3.04 7.58 0.36 12 11-5 1.14 08 89. 30. 29-97 16-22 73-75 9.58 0.10 33-1 19. 6. 39. 13-9 189. 5. 48-69 57-37 51-32 3.25 1.12 0.35 0.36 10 16-4 1.30 53 91. 1.42-07 48-05 54-02 11.37 1.88 20-9 21. 8. 3.30-4 214. 23. 44-33 51-86 52-47 1.07 1.44 1.13 0.01 26 17-0 1.87 51 93. 2. 36-84 4063 56-21 13.67 1.72 15-2 23. 9.43.41-4 241. 19. 2-08 11-18 50-90 0.06 1.90 2.44 0.18 46 17-9 2.37 47 94. 31. 29-66 28-71 60-95 15.36 1.39 10-5 24. 10. 41. 28-9 255. 29. 56-23 63-79 52-44 0.10 2.16 3.23 0.45 52 18-2 2.57 43 94. 54. 62-48 59-50 62-98 15.81 1.18 8-8 25. 11. 43. 16-3 270. 7. 15-02 18-05 56-97 0. 55 2.43 4.06 0.78 54 18-6 2.71 39 95. 0. 17-82 13-69 64-13 15.92 0.95 7-8 26. 12. 49. 0-9 285. 6. 5-80 5-84 59-96 1.39 2.68 4.88 1. 10 51 18-9 2.80 35 94. 45. 18-82 16-37 62-45 15.65 0.72 7-4 27. 13. 50. 34-6 300. 14. 43-73 36-77 66'96 2.60 2.90 5.67 1. 3 45 19-2 2.83 30 94. 10. 18-37 16-01 62-36 15.00 0.51 7-9 tuly 1. 17. 20. 23-9 0. 8.33-44 27-71 65-73 9.24 3.11 7.67 1.12 10 20-8 2.39 14 89. 38. 29-96 25-68 64-28 9.88 0.10 17-0 2.18. 7.42-4 14. 37. 34-97 22-48 (72-49) 10.82 2.98 7.78 0.81 07 21-1 2.16 11 88.23. 16-04 14-32 (61-72) 8.45 0.14 20-4 19. 6.41.20-7 221.43.47-33 52-93 54-40 0.78 1.52 0.46 0.24 13 26-8 0.81 50 93. 44. 50-66 54-63 56-03 14. 32 1.63 28-7 21. 8.25. 11-8 248. 40. 54-81 63-87 50-94 0.03 2.00 1.37 0. 00 31 27-4 1.37 53 94. 54. 51-21 61-86 59-35 15.68 1.26 224 27. 14.24. 30-4 339. 26. 56-86 62-41 54-45 6.42 3.17 6.02 1.44 40 29-5 2.75 38 91.17. 4-13 1-67 62-46 11.80 0.13 7-6 28. 15. 14. 52-0 354.43.26-61 30-04 56-57 8.18 3.16 6.67 1.52 30 29-8 2. 82 33 89.55.20-85 20-32 60-53 10.28 0.10 7-5 29. 16. 3. 43-9 9. 42. 38-54 39-18 59-36 9.86 3.07 7:19 1.45 20 30-1 2.83 29 88. 35. 22-74 19-87 62-87 8.79 0. 13 8-3 30. 16.52.30-8 24.22. 3-8-2 0-44 63-38 11.36 2.91 7.56 1.26 13 30-6 2.79 24 87. 22. 40-97 35-98 64-99 7.43 0.21 9-8 A.ug. 1.18.34.19-4 52.41. 15-84 17-73 58-11 13.44 2.46 7.75 0.66 08 31-2 2.53 16 85. 34. 55-86 50-92 64-94 5.39 0.52 14-6 17. 6.12.55-4 242. 40. 19-10 31-59 47-51 0.11 1.84 0.34 0.38 10 35-5 0.22 42 94. 54. 32-47 27-23 65-24 15.53 1.33 37-2 19. 8. 8.44-1 270.29. 52 10 56-06 56-04 0.40 2.36 1.09 0.01 26 36-0 0.62 49 95. 11.45-97 45-30 60-67 15.90 0.90 32-2 20. 9.10.50-7 285. 12. 17-02 20-31 56-71 1.14 2.62 1.68 0.02 36 36-2 0.88 51 94.51.26-88 23-46 63-42 15.55 0.68 29-0 24. 13. 2.40-9 347. 22. 59-57 68-87 50-70 7.08 3. 18 4.82 1.09 52 37-2 2.03 50 90. 30. 43-25 38-73 64-52 10.87 0. 10 14-6 26.14.44. 9-0 18. 18. 22-25 35-24 47-01 10.46 3.02 6.31 1.49 36 37-6 2.49 45 87.44. 7-56 19-79 47-77 7-84 0. 18 9-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 6o"-00 1. 02 d. oo 4.00 0. 76 30 20-8 K \ 1.42 30 00-00 10. 2*1 Loo 23-7 i GREENWICH LUNAR REDUCTIONS. 2[L] [258] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. J-l ij Change forOs-1 I in Argument. Paral lactic Inequality. Variation. 1 Change for 0- 1 1 in Argument. Annual Equation. Evection. Change for Oe-l in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of TabularEcliptic N.P.D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. Change for OS- 1 in Argument. Evection in E. N.P.D. 1820. d h ra s Aug. 28. 16. 28. 8-4 O 1 ft 47. 48. 10-79 n 20-99 n 49-80 g \ 12.95 2.61 7.37 1.37 16 38-0 g v 2.77 37 1 II 85. 41. 10-32 tt 6-33 H 63-99 g < 5.58 0.47 7-5 29. 17. 22. 49-4 61.55.15-86 22-75 53-11 13.67 2.35 7.65 1.14 10 38-2 2.83 32 85. 4.37-28 32-02 65-26 4.90 0.67 7-6 30. 18. 18. 53-3 75.38. 6-82 7-56 59-26 13.99 2.08 7.78 0.83 07 38-5 2.82 28 84.46. 3-42 2-58 60-84 4.55 0.88 8-4 31. 19. 15. 4-1 88. 58. 36-84 3531 61-53 13. 92 1.83 7.70 0.52 09 38-7 2.76 23 84.45. 12-03 10-02 62-01 4.52 1.09 9-8 Sep. 1.20. 9.44-9 101.69. 8-10 16-44 51-66 13.48 1.59 7.44 0.25 14 38-8 2.05 19 85. 0.36-87 37-76 59-11 4.79 1.28 11-7 18. 8.54. 7-4 308. 2.23-59 30-20 53-39 2.77 2.92 1.37 0.00 31 41-0 0.26 43 93.44.31-64 28-87 62-77 14.24 0.36 37-0 18. 9. 50. 20-6 323.20.33-12 41-83 51-29 4.27 3.08 2.03 0.08 41 41-1 0.46 47 92.37. 9-79 4-12 65-67 13.01 0.21 34-7 21.11.36. 2-8 354. 39. 44-08 48-87 55-21 7.74 3.17 3.58 0.59 53 41-2 0.96 51 89. 50. 20-99 13-27 67-72 10.01 0.10 28-0 22. 12. 29. 45-6 10.24. 4-16 19-20 44-96 9.46 3.10 4.42 0.92 53 41-3 1.24 52 88. 24. 25-63 16-36 69-27 8.44 0. 14 24-0 25. 15. 1-1. 33-4 55. 58. 38-33 52-37 45-96 13.26 2.51 6.63 1.52 31 41-5 2.10 50 85. 16. 56-45 52-03 64-42 5.08 0.60 13-7 26. 16. 9. 8-7 70.18.41-11 57-22 43-89 13.84 2.25 7.18 1.46 21 41-5 2.34 47 84. 50. 22-68 17-01 65-67 4.62 0.82 12'2 27. 17. 7. 7-8 84. 9.42-39 49-76 52-63 14. 01 1.98 7.53 1.27 13 41-5 2.54 44 84. 42. 58-32 51-54 66-78 4.50 1.03 9-3 Oct. 16. 7.37.50-1 316.31.52-76 63-00 49-76 3.31 2.99 0.60 0.15 16 41-0 0.01 27 93. 4.48-68 47-83 60-85 13.47 0.26 39-5 17. 8.30.34-8 331.27.24-02 28-49 55-53 4.90 3.12 1.05 0.02 25 40-9 0.00 31 91.53.10-49 10-55 59-94 12. 14 0. 15 40-0 21.11.58.38-0 33. 7.34-30 44-69 49-61 11.53 2.88 3.94 0.74 54 40-5 0.52 47 86.36.61-33 52-19 69-14 0.37 0.34 33-5 22. 12. 54. 25-5 48. 24. 42-05 42-71 59-34 12.70 2.67 4.7fi 1.07 52 40-4 0.76 50 85.41.58-61 56-65 61-90 5.38 0.52 30-4 23.13.52.48-7 63.21.20-08 30-00 50-08 13.53 2.41 5.56 1.33 46 40-2 1.03 52 85. 6. 9-13 2-09 67-04 4.76 0.73 26-8 25.15.51.54-1 91.51.48-60 5237 56-23 13.98 1.89 6.91 1.51 26 39-9 1.62 52 84.53.53-71 49-46 64-25 4.60 1.17 19-9 26. 16. 48. 25-7 105.21.20-70 31-86 48-84 13. 62 1.64 7.37 1.38 17 39-8 1.90 51 85.14.34-18 29-66 64-52 5.02 1.38 17-0 29.19.13.17-1 143. 23. 27-14 32-84 54-30 10.70 1.12 7.71 0.54 09 39-4 2.59 43 87. 30. 50-51 48-36 62-15 7.60 1.80 10-1 Nov. 13. 6.24. 1-5 326. 3. 5-44 16-14 49-30 3.89 3.05 0.26 0.55 08 36-4 0.54 13 92. 8.54-48 57-57 56-91 12.52 0.18 31-8 15. 8. 2. 19-7 355.27. 1-96 5-10 56-86 7.30 3.18 0.81 0.07 20 36-0 0.17 19 89. 35. 51-85 52-95 58-90 9.63 0.10 37-0 16. 8.51.13-5 10. 25. 36-46 43-92 52-54 9.04 3.12 1.33 0.00 30 35-5 0.06 24 88.17.62-66 56-31 66-35 8.17 0.16 38-8 18.10.35. 9-5 40.39. 11-11 20-75 50-36 12.01 2.81 2.71 0.27 48 35-0 0.01 33 86. 7.38-17 38-99 59-18 5.75 0.44 40-0 19.11.31.54-3 55.41.30-24 36-00 54-24 13.06 2.57 3.52 0.56 53 34-8 0. 07 37 85. 25. 14-27 13-45 60-82 4.97 0.64 39-3 23. 15. 29. 42-6 112. 33.54-10 55-28 58-82 13.40 1.56 6.58 1.52 31 33-5 0.84 51 85. 44. 61-21 55-83 65-38 5.44 1.49 30-6 25.17. 7.25-3 138. 20. 12-57 13-25 59-32 11.49 1.20 7.51 1.28 13 33-0 1.41 53 87. 21. 34-47 40-80 53-67 7.29 1.77 24-7 26. 17. 50. 18-7 150.43. 11-82 14-73 57-09 10.20 1.08 7.73 1.01 08 32-7 1.69 52 88.21.10-57 655 64-02 8.42 1.86 21-7 Dec. 12. 5. 59. 5-8 350.43.16-19 17-06 59-13 6.21 3.17 0.22 0.71 07 27-7 1.25 08 89. 45. 46-37 41-40 64-97 9.96 0. 10 22-4 Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. Sub. Sub Sub. GO-00 K \ 7.02 2. 00 4. 00 0.76 30 20-8 1.42 30 60-00 10. 21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [259] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. ! 3g Change for O c 'l in Argument. Parallactic Inequality. Variation. Change for fls-1 in Argument. d II < S Evection. Change for OK- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. Change for 0-1 in Argument. cO .2ft. |z ' 1820. d h o / // ff n e V V> \ \v v \\ I * > \\ o / // II // * x , >> > Dec. 14. 7. 34. 45-4 19. 53. 33-92 35-28 58-64 9.67 3.08 0.57 0.16 16 27-0 0.72 11 87.20. 3-60 4-32 59-28 7.19 0.24 29-5 21. 14. 9. 38-0 119. 39. 27-37 18-84 68-53 13.12 1.48 5.56 1.32 46 24-4 0.10 38 86. 18. 51-65 44-04 67-6] 5.96 1.60 39-4 1821. Jan. 12. 7.13.26-0 44. 26. 32-36 35-22 57-14 11.71 2.86 0.42 0.28 12 16-5 1.46 06 85. 35. 67-75 57-47 70-28 5.36 0.53 19-9 14. 9. 5.35-6 72. 51. 34-10 42-15 51-95 13.60 2.38 1.29 0.00 29 15-8 0.90 09 84. 53. 30-45 29-63 60-82 4.51 0.95 26-8 16.11. 2. 9-9 100. 32. 20-81 22-34 58-47 13.95 1.85 2.66 0.26 48 15-2 0.42 14 85.23.31-44 31-20 60-24 5.00 1.37 32-9 20. 14. 20. 15-2 152.34.31-42 21-84 69-58 10.53 1.10 5.87 1.41 42 13-6 0.00 31 88. 56. 55-00 54-16 60-84 8.88 1.88 39-7 28.20. 7.39-1 252. 7.66-57 59-49 67-08 0.38 0.66 6.87 0.07 26 10-9 1.55 53 95.11.43-83 45-20 58-63 15.92 1.05 29-0 Feb. 8. 5. 9.41-2 40. 2.50-81 51-12 59-69 10.86 2.97 0.33 1.04 09 7-8 2.60 18 85.38.11-20 6-45 64-75 5.53 0.49 8-2 9. (5. 3.57-5 54. 27. 56-33 62-46 53-87 12. 18 2.78 0.22 0.73 07 7-3 2.42 14 85. 2.55-04 45-13 69-91 4.86 0.69 96 10. 7. 0.35-2 68. 36. 34-55 37-67 56-88 13.17 2.54 0.31 0.42 09 7-1 2.20 12 84. 46. 16-28 13-85 62-43 4.53 0.90 11-7 11. 7.58.31-0 82. 28. 26-99 33-31 53-68 13.79 2.28 0.57 0. 17 15 6-8 1.94 10 84. 48. 33-60 27-01 66-59 4.55 1.12 14-1 13. 9. 51. 6-8 109. 22. 35-48 37-68 57-80 13.84 1.76 1.59 0.01 34 6-3 1.38 08 85. 43. 26-35 27-89 58-46 5.50 1.51 19-9 15. 11. 30. 19-9 135. 13. 52-64 52-49 60-15 12.45 1.34 3.06 0.39 51 5-9 0.83 10 87.29.21-21 16-87 64-34 7.40 1.78 26-0 19. 14. 16. 15-5 184. 38. 44-46 38-88 65-58 7.04 0.97 6.22 1.48 38 4-8 0.08 23 91. 53. 57-46 54-42 63-04 12.19 1.84 36-1 21.15.36. 8-3 208. 54. 67-02 57-74 69-28 4.07 1.06 7.28 1.41 18 4-4 0.00 32 93. 45. 38-84 45-01 53-83 14.23 1.64 38-9 22. 16. 19. 15-9 221.10.75-81 54-91 80-90 2.74 1. 18 7.61 1.20 11 4-2 0.05 36 94.28. 3-08 3-10 59-98 15.01 1.49 39-7 23.17. 5.45-3 233. 38. 70-52 50-89 79-63 1.62 1.33 7.76 0.90 08 4-0 0.16 40 94. 58. 27-60 30-17 57-43 15.57 1.31 40-0 26. 19. 47. 58-3 273. 5. 61-43 44-59 76-84 0.03 2.01 7.12 0. 12 21 3-2 0.77 50 94. 59. 56-88 46-37 70-61 15.62 0.71 37-3 Mar. 10. 5. 52. 37'9 78. 5.57-10 60-91 56-19 13.46 2.44 0.26 0.90 08 1-4 2.80 25 84. 43. 18-39 13-90 64-49 4.51 1.0.7 75 11. 6.51. 7-4 91.55. 1-84 8-68 53-16 13.92 2.18 0.25 0.58 08 1-3 2.70 21 84. 58. 10-82 11-99 58-83 4.79 1.28 7-5 12. 7. 47. 15-6 105. 20. 14-88 16-59 58-29 13.99 1.91 0.40 0.29 12 1-1 2.55 17 85. 29. 26-34 24-87 61-47 5.36 1.47 8-2 13. 8.39.43-6 118. 24. 1-64 5-36 56-28 13.68 1.67 0.75 0.08 19 1-0 2.36 14 86.14. 0-14 0-&7 59-57 6.17 1.64 9-4 14. 9.28. 8-0 131. 9.56-29 62-84 53-45 13.02 1.45 1.25 0.00 20 0-9 2.13 11 87. 8.52-30 56-26 56-04 7.17 1.76 11-2 15.10.12.50-6 143.41.52-18 52-27 59-91 12.05 1.27 1.88 0.06 39 0-8 1.87 09 88.11. 1-63 7-61 54-02 8.30 1.85 13-3 16. 10. 54. 37-1 156. 3. 6-89 7-97 58-92 10. 85 1.13 2.60 0.25 48 0-7 1.59 08 89. 17. 35-70 32-90 62-80 9.50 1.89 15-6 22.15. 1.45-4 229. 18. 46-84 39-47 07-37 2.29 1.23 7.06 1.48 23 0-2 0.17 19 94.47.39-41 42-66 56-75 15.46 1.36 32-2 25.17.37.17-0 267. 40. 46-35 37-59 68-76 0. 10 1.85 7.77 0.75 07 0-1 0.01 33 95. 5.40-68 45-20 55-48 15.74 0.77 38-2 April 8. 5.40.17-3 100.39.33-73 39-52 54-21 14.00 2.07 0.33 1.05 10 0-2 2.76 37 85. 22. 40-93 37"22 63-71 5.20 1.43 11-5 9. 6.35. 9-5 1 14. 5. 19-00 23-14 55-86 13.91 1.82 0.22 0.75 07 0-2 2.82 33 86. 3.43-05 39-13 63-92 5.97 1.60 9-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 2. 00 4. 00 g \ 0.76 30 208 f V 1.42 30 60-00 g \ 10.21 \ \\ 1.00 23-7 2[L]2 [260] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation . r Seconds of Tabular Longitude. Excess of Observed Longitude. 11 c Change for 0?-1 in Argument. Parallactic Inequality. .2 Is *c SB Change for 08-1 1 in Argument. Annual Equation, Evection. Change for OS- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of \ Tabular Ecliptic 1 N. P. D. 1 os. = 1 73 * 8 g,- =31 ' Effect of | Mean Inclination. Change for Os- 1 1 in Argument. li 1821. *' April 10. 7.25.26-0 ' " 127. 4.49-77 rf 53-64 56-13 It * 13.46 1.58 0.30 g 0.43 09 0-3 g v 2.83 28 O ' /' 86.55.41-72 ft 43-44 58-28 e > 6.95 1.74 8-3 12. 8.53.69-2 152. 6. 39-35 40-66 58-69 11.62 1.21 0.97 0.03 24 0-5 2.67 20 88. 59. 49-80 56-21 53-59 9.26 1.89 7-4 13. 9.34.12-0 164. 19. 62-42 55-39 67-03 10.35 1.09 1.55 0.01 34 0-5 2.51 16 90. 6. 10-14 10-52 59-62 10.48 1.90 7-8 14.10.13. 9-9 176. 27. 65-71 56-71 69-00 8.93 1.01 2.23 0. 13 43 0-6 2.31 13 91.11.38-73 30-00 68-13 11.68 1.87 8-7' 15.10.51.58-4 188.34.51-21 48-02 63-19 7.42 0.97 3.00 0.36 50 0-7 2.07 10 92. 13. 20-91 20-24 60-67 12. 82 1.80 10-0 16.11.31.39-8 200. 43. 52-48 48-51 63-97 5.89 0.98 3.82 0.67 54 0-8 1.81 09 93. 9. 7-78 7-68 00-10 13.84 1.70 11-7 17. 12. 15. 18-7 212. 58. 50-40 45-59 64-81 4.41 1.04 4.65 J.OO 53 0-9 1.53 08 93. 66. 32-23 31-58 60-65 14.69 1.56 13-7 24. 18. 16. 50-8 303. 43. 58-49 60-44 58-05 0.66 2.47 7.74 0.60 08 1-7 0.04 25 93. 11.50-43 49-06 61-37 13.69 0.29 33-9 25. 19. 9. 4-5 317. 48. 56-90 59-87 57-03 1.56 2.72 7.63 0.32 12 1-9 0.00 29 92. 7.3(5-18 23-61 72-57 12. 47 0.17 36-3 May 9. 6.51.31-7 147.46.51-17 49-40 61-77 12.31 1.31 0.25 0.60 08 4-4 2.67 40 88. 48. 34-03 36-98 57-05 8.97 1.88 14-8 10. 7.32.40-3 160. 8.30-65 29-11 61-54 11.17 1.16 0.38 0.31 11 4-6 2.78 36 89. 53. 55-54 56-60 58-94 10.21 1.90 12-6 12. 8.50.59-2 184.26.45-60 37"28 68-32 8.36 0.99 1.21 0.00 28 5-0 2.82 27 91.59.66-46 58-60 67-86 12.57 1.82 9-1 13. 9.30.18-2 196. 34. 17-79 8-27 69-52 6.84 0.97 1.83 0.05 38 6-4 2.75 23 92.55.51-54 51-57 59-97 13.62 1.7-2 8-1 14. 10.11. 12-5 208.46.50-14 42-34 67-80 5.32 1.00 2.55 0.22 47 5-6 2.63 19 93. 43. 53-48 54-69 58-79 14. 52 1.59 7-5 15.10.64.40-1 221. 7.50-19 43-20 66-99 3.87 1.08 3.35 0.50 53 5-9 2.46 15 94.21.56-97 55-62 61-35 15. 22 1.43 7'5 16.11.41.24-2 233. 39. 37-25 34-08 63-17 2.58 1.19 4. 18 0.83 54 6-1 2.25 12 94.47.53-91 51-27 62-64 15.70 1.25 7-9 18.13.27.31-2 259.21.63-10 52-66 70-44 0.66 1.56 5.77 1.39 43 6-6 1.73 09 94.56.61-00 54-33 66-67 15.85 0.85 10-6 20.15.18.31-4 285.53.46-11 39-99 66-12 0.03 2. 05 7.02 1.49 23 7-0 1.17 08 94. 3.54-15 59-58 54-57 14.83 0.47 15-2 21.16.12.47-0 299. 28. 10-27 9-00 61-27 0.30 2.31 7.44 1.33 15 7-5 0.89 10 93. 15.32-69 32-88 59-81 13.91 0.31 18-0 23.17.54.37-1 327. 17.47-35 57-81 49-54 1.99 2.80 7.78 0.77 07 8-0 0.42 14 91. 5. 6-40 4-62 61-78 11.43 0.12 24-7 Jane 7. 6. 9. 15-8 167.42. 2-81 2-54 60-27 10. 68 1.11 0.23 0.77 07 12-4 2.13 49 90. 48. 59-16 61-60 57-56 11.10 1.89 25-2 9. 7.27.37-4 192. 3.39-86 25-63 74-23 7.79 0.98 0.53 0.20 14 13-0 2.56 43 92. 48. 13-00 11-04 61-96 13. 37 1.75 19-7 14. 11. 18. 6-7 254. 40. 39-07 32-13 66-94 1.13 1.43 3.7(5 0.65 54 14-8 2.73 22 94. 58. 45-76 46-27 69-49 15.90 0.90 8-8 18.15. 1.35-9 309. 1.36-07 31-10 64-97 0.51 2.41 6.75 1.52 29 16-0 1.93 09 92. 22. 27-04 25-79 61-25 13.01 0.21 8-7 21.17.28. 0-4 351.37.45-95 44-08 61-87 3.92 3.05 7.75 0.93 08 17-3 1.09 09 88. 42. 30-56 29-14 61-42 8.87 0.12 15-4 July 10. 8. 16. 38-1 236. 27. 37-50 43-02 54-48 2.87 1.16 1. 17 0.01 27 23-7 2.41 46 95. 3.43-41 49-57 53-84 15.84 1.16 24-7 12. 10. 2. 54-3 262. 27. 58-20 54-23 63-97 0.83 1.51 2.49 0.21 46 24-3 2.73 38 94. 54. 38-73 39-71 59-02 15.72 0. 76 18-7 13. 10. 59. 46-5 275. 57. 56-40 49-12 67-28 0.25 1.73 3.29 0.48 52 24-6 2.81 34 94. 25. 38-36 36-82 61-54 15.22 0.56 15-6 14.11.56.46-0 289.46.31-59 25-68 65-91 0.03 1.98 4.12 0.81 54 25-2 2.83 29 93. 40. 35-73 32-64 63-09 14.41 0.39 12-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 K \ 7.02 i. ot> 4.00 0.76 30 20-8 1.42 \\ 30 60-00 10.21 1. 00 23-7 ' SECT. III. COMPARISON OP MOON'S OBSERVED AND TABULAR PLACE. [261] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. u ** i/l 53 Sf a Change for 0?'l in Argument. Parallactic Inequality. Variation. Change forOs-1 in Argument. Annual Equation. Evection. Change for OE-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic] N.P.D. si. *3S %'V ' aj i* *-* o > f~* x - -^ 3S Effect of Mean Inclination. Change for 0^-1 in Argument. Evection in E.N.P.D. 1Q<>1 i] h ill O I 'I ti ft * \ \\ \ \\ g i * * O / " tt it g - * July 16. 13. 47. 14-8 318. 9.48-26 31-85 76-41 0.77 2.51 5.72 1.38 44 25-9 2.70 20 91.30.50-56 48-44 62-12 12.04 0.15 9-0 17. 14. 37. 23 6 332.36. 6-49 2-90 63-59 1.71 2.75 6.45 1.50 34 26-2 2.55 17 90. 13. 48-29 45-09 63-20 10.62 0.10 7-8 18.15.25.44-0 347. 9. 13-05 8-58 64-47 3.00 2.95 7.02 1.49 24 26-5 2.35 13 88.55. 4-89 4-45 60-44 9. 17 0.11 7-4 20. 17. 1. 50-0 16.26.66-13 58-68 67-45 6.26 3.17 7.70 1.09 09 27-1 1.86 09 86. 34. 16-61 6-79 69-82 6.54 0.31 9-0 22. 18. 45. 50-2 45. 50. 27-28 33-64 53-64 9.71 3.08 7.67 0.48 09 28-0 1.30 08 85. 5.60-36 50-04 70-32 4.86 0.69 13-3 Aug. 4. 4. 39. 50-4 206. 35. 46-34 36-98 69-36 6.64 0.97 0.35 1.10 10 31-7 0.60 49 94. 7.60-75 52-63 68-12 14.65 1.57 39-9 5. 5.22.32-5 218.48.45-49 46-40 59-09 5.12 1.01 0.23 0.80 07 32-0 0.86 51 94.43.24-16 27-11 57-05 15.32 1.40 39-4 9. 8.40. 0-4 269.49.31-94 36-24 55-70 0.57 1.59 1.46 0.00 32 33-3 2.00 51 94.45.42-17 40-15 62-02 15.42 0.63 32-2 10. 9.42.58-3 283. 26. 42-83 44-21 58-62 0.12 1.82 2.13 0.10 42 33-6 2.25 48 94. 6. 18-59 14-31 64-28 14.72 0.45 29-2 11. 10.39.26-8 297. 27. 11-61 13-06 58-55 0.05 2.08 2.88 0.33 50 33-8 2.47 45 93. 11. 13-39 9-34 64-05 13.73 0.29 26-0 12. 11. 34. 5-2 311.49. 3-29 6-98 56-31 0.37 2.35 3.70 0.64 54 34-1 2.64 41 92. 2.49-26 44-43 64-83 12.50 0.17 22-4 14. 13. 18.58-0 341.23. 8-48 19-10 49-38 2.16 2.83 5.34 1.26 48 34 : 8 2.82 33 89. 22. 38-46 35-78 62-68 9.59 0. 10 15-6 15. 14. 8. 12-2 356. 24. 15-71 14-41 61-30 3.55 3.01 6.07 1.45 39 35-0 2.83 28 88. 2.19-74 16-09 63-65 8.13 0.16 12-8 18. 16. 41. 44-2 41.23. 5-71 2-03 63-68 8.68 3.14 7.58 1.24 12 35-7 2.50 16 85. 8. 59-64 46-65 72-99 4.97 0.64 7-6 19. 17. 38. 5-8 56. 7.46-84 40-59 66-25 10.32 3.03 7.75 0.95 08 36-0 2.29 13 84. 46. 43-00 35-04 67-96 4.56 0.86 7-5 20. 18. 37. 5-4 70. 39. 57-31 56-83 60-48 11.75 2.85 7.75 0.63 08 36-2 2.05 10 84. 44. 58-01 49-35 68-66 4.53 1.09 8-1 Sep. 5. 6.33.17-3 263.56.28-37 29-52 58-85 1.02 1.45 0.35 0.35 11 39-3 0.67 49 94.69. 0-01 8-08 51-93 15.59 0.69 40-0 6. 7.28.38-5 277. 6. 10-30 15-69 54-61 0.36 1.67 0.66 0.12 17 39-4 0.93 51 94. 27. 29-09 28-40 60-69 15.01 0.51 39-8 7. 8. 24. 2G-0 290. 40. 26-78 29-86 56-9-2 0.05 1.92 1. 13 0.01 27 39-7 1.22 52 93. 40. 10-35 8-89 61-46 14.13 0.34 38-9 8. 9. 19. 18-4 304.41. 7-18 10-73 56-45 0. 12 2.18 1.73 0.03 37 39-8 1.51 53 92. 38. 27-44 22-95 64-49 13.01 0.21 37-5 12. 12. 47. 20-3 4. 40. 47-58 51-66 55-92 4. 15 3.07 4.94 1.11 51 40-3 2.52 44 87.21.38-72 31-83 66-89 7.26 0.23 25-2 14. 14. 33. 18-2 35. 40. 59-75 63-18 56-57 7.60 3.17 6.40 1.50 35 40-6 2.78 36 85. 23. 35-70 37-65 58-05 5.15 0.58 17-7 17.17.31.18-9 80. 34. 27-66 31-43 56-23 12. 22 2.77 7.69 1. 11 09 40-9 2.75 22 84. 56. 65-15 54-98 70-17 4.75 1.26 9-7 18.18.31.27-0 94.47. 11-42 7-96 63-46 13.21 2.53 7.78 0.80 07 41-0 2.62 18 85. 27. 35-06 31-44 63-6-2 5.33 1.47 8-2 Oct. 2. 4.24.54-7 258. 59. 55-45 56-86 58-59 1.58 1 1.34 0.37 1.12 11 41-6 0.00 31 95. 0.39-46 46-18 53-28 15.71 0.75 31-6 5. 7. 6.12-3 298. 11. 9-22 17-80 51-42 0.03 2.02 0.48 0.23 13 41-6 0.29 44 93. 2.21-11 20-09 61-02 13.43 0.26 38-1 8. 9.39.40-4 341. 9.53-00 60-08 52-92 1.86 2.78 2.08 0.09 41 41-5 1.01 08 89. 21. 26-15 14-98 71-17 9.33 0.11 39-8 9. 10. 29. 50-7 356. 25. 59-23 64-97 54-26 3.19 2.98 2.83 0.31 49 41-4 1.29 52 88. 1.38-89 32-25 66-64 7.86 0. 18 38-9 10.11.21.18-8 12. 3.42-50 50-32 52-18 4.76 3. 11 3.64 0.62 53 41-4 1.59 52 86. 48. 62-42 56-69 65-73 6.54 0.31 370 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Snb. Sub. Sub. Sub. Sub. Sub. 60-00 1. 02 2. 00 \ \\ 4.00 0*. 76 \\ 30 20-8 ? 1.42 30 60-00 10. 2i 1. 00 23-7 [262] BEDTJCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .2.^ .2-lS a | Change for 08-1 1 in Argument. ParaJlactic Inequality. Variation. Change for OS- 1 1 in Argument. 11 II K Evection. Change for 0"'I I in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation . Seconds of | Tabular Ecliptic I N.P.D. ! Excess of Ob- 1 served Ecliptic 1 N. P. D. Effect of Mean Inclination. Change for OS- 1 1 in Argument. | G"" o .-,' p z HtJ 1821. * * Oct. 13.14.16.14-6 o / // 59. 28. 51-46 // 59-80 it 51-66 * 9.95 \ \\ 3.06 X \\ 6.02 * v 1.45 40 \ 41-2 e l 2.38 47 Of// 84.52.61-05 ff 58-49 // 62-56 8 ^ 4.50 0.96 27-5 15. 16. 22. 16-8 89. 40. 11-07 26-93 44-14 12.64 2.68 7.22 1.44 20 41-0 2.71 39 85. 23. 35-79 39-68 56-11 5.15 1.42 20-2 31. 4. 6. 5-8 280.11.40-83 48-88 51-95 0.49 1.62 0.53 1.25 14 39-1 0. 19 19 93. 58. 61-73 39-18 82-55 14.65 0.43 21-4 Nov. 4. 7.27.59-8 334. 9.52-26 58-30 53-96 1.20 2.63 0.63 0.13 17 38-4 0.06 37 89.47.61-66 55-73 65-93 9.88 0.10 33-5 5. 8. 16. 14-5 348. 43. 19-68 25-55 54-13 2.32 2.86 1.09 0.01 26 38-2 0. 18 41 88.31.62-17 56-82 65-35 8.45 0.14 36-1 6. 9. 5. 30-2 3. 46. 20-84 27-45 53-39 3.75 3.03 1.68 0.03 36 38-0 0.34 45 87. 19. 42-05 39-08 62-97 7.09 0.25 38-1 7. 9.57.10-6 19. 15. 59-72 70-57 49-15 5.39 3. 14 2.38 0.18 45 37-6 0.56 48 86. 17. 9-52 5-51 64-01 5.92 0.41 39-5 8. 10. 52. 33-8 35. 5.21-71 34-33 47-38 7.15 3. 18 3.23 0.45 52 37-4 0.80 50 85.30. 18-89 17-04 61-85 5.05 0.61 40-0 9. 11.54.55-2 51. 5.17-37 21-81 55-56 8.90 3. 13 4.06 0.77 54 37-2 1.08 52 85. 3.63-45 59-6-2 63-83 4.57 0.85 39-5 12.15. 8. 4-2 97.40.41-19 29-98 71-21 13.00 2.59 6.36 1.50 35 36-6 1.96 51 85. 58. 35-97 24-40 71-57 5.66 1.54 33-3 15.17.50. 0-9 139. 28. 9-89 19-34 50-55 13.91 1.81 7.67 1.12 10 35-7 2.62 42 89. 0.63-12 54-14 68-98 9.15 1.89 24-0 16.18.34.20-1 152.23.34-14 3737 56-77 13.44 1.58 7.78 0.81 07 35-5 2.74 38 90. 8.56-58 56-90 59-68 10.44 1.90 20-9 30. 4.35.29-5 315.32. 3-60 9-90 53-70 0.16 2.22 0.38 1. 13 11 31-9 0.50 13 91. 9.31-66 30-88 60-78 11.60 0.13 14-6 Dec. 1. 5.22.54-8 329. 6.26-48 37-69 48-79 0.68 2.48 0.24 0.84 07 31-3 0.30 16 89. 58. 22-26 18-91 63-35 10.24 0.10 17-5 2. 6. 9.24-7 343. 1. 4-47 10-46 54-01 1.58 2.72 0.26 0.52 08 31-0 0. 15 20 88. 45. 26-30 26-31 59-99 8.86 0. 12 20-7 5. 8.36. 8-7 27. 10. 59-88 75-45 44-43 6.05 3.17 1.37 0.00 31 30-1 0.02 33 85. 42. 30-09 27-47 (52-62 5.36 0.53 31-1 6. 9.32. 7'6 42. 40. 36-21 52-24 43-97 7.81 3.17 2.03 0.08 41 29-8 0.09 38 85. 10. 6-61 2-33 64-28 4.73 0.75 34-3 8.11.37.44-9 74. 7.38-38 43-08 55-30 11.09 2.95 3.58 0.60 53 28-9 0.40 46 85.10.21-84 21-29 60-55 4.69 1.23 38-8 11.14.47.54-0 119.27.37-22 39-07 58-15 13.86 2.23 6.02 1.44 40 28-0 1.17 52 87. 36. 26-11 22-70 63-41 7.40 1.78 39-3 12. 15. 40. 30-0 133. 30. 19-95 26-81 53-14 14.01 1.97 6.67 1.52 30 27-7 1.46 53 88. 45. 46-64 42-64 64-00 8.70 1.87 38-0 13. 16. 27. 57-2 147. 0.23-61 30-61 53-00 13.77 1.72 7.19 1.45 20 27-4 1.75 52 89. 56. 49-85 49-45 60-40 10.04 1.90 36-1 14.17.11.30-8 160. 2. 18-12 15-34 62-78 13.18 1.50 7.56 1.26 13 27-0 2.03 50 91. 5.45-11 47-72 57-39 11.34 1.88 33-9 15. 17. 52. 33-8 172. 41. 32-34 36-35 55-99 12.29 1.31 7.74 0.98 08 26-7 2. 27 48 92. 9.33-20 35-48 57-72 12.55 1.82 31-3 31. 5.40. 0-0 6. 59. 39-26 48-27 50-99 3.37 3.00 0.23 0.69 07 21-1 0.67 11 86.38.22-78 16-46 66-32 6.60 0.30 12-2 1822. Jan. 1. 6.28.37-4 21.31.19-76 29-04 50-72 4.97 3.12 0.34 0.38 10 20-5 0.45 14 85.46. 3-53 1-63 61-90 5.60 0.47 14-8 2. 7.20.45-1 36.20. 15-91 21-12 54-79 6.71 3. IS 0.63 0. 14 16 20-1 0.26 17 85. 9.31-68 34-31 57-37 4.89 0.68 18-2 4. 9. 18. 28-3 66. 38. 25-98 34-71 51-27 10.15 3.05 1.68 0.02 36 19-5 0.03 25 84. 56. 30-22 29-32 60-90 4.57 1.14 25-5 14.17.49. 0-1 204. 36. 54-73 50-08 64-65 9.26 1.02 7.77 0.84 07 15-8 1. 82 52 94. 27. 56-90 62-19 54-71 15.05 1.48 37-3 15. 18.31.41-1 216. 50. 11-52 10-77 60-75 7.76 0.98 7.71 0. 53 09 15-5 2.09 50 94. 55. 58-85 67-02 51-83 15.58 1.31 35-6 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 6.76 Sub. 30 Sub. 20-8 Sub. 1.42 Sub. 30 Sub. 60-00 Sub. a > 10.21 Sub. \ \\ 1.00 Sub. 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [263] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. X u _*^ S-Ti 5 Change forOs-l in Argument. Parallactic Inequality. Variation. Change for OB- 1 1 in Argument. Annual Equation. Evection. Change for 0'l in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tubular Ecliptic N.P.D. i.S o. S^Q "n- S-o^. It 2 2 & Effect of Mean Inclination. Change for Os- 1 in Argument. f* oa, JSB w w 18-22. t . Jan. 28. 4.26.17-5 Of" 17. 10. 3-35 10-55 52-80 e * 3.96 3.05 * \\ 0.40 1.15 O ' // 85. 51. 32-08 It 30-23 tl 61-85 I - 5.77 \ \\ 0.43 7-4 11 11-2 1.70 08 29. 5. 16. 47-5 31.46.26-83 30-40 56-43 5.63 3. 15 0.25 0.85 08 10-9 1.41 08 85. 10. 26-06 22-68 63-48 5.01 0.63 7-7 31. 7. 8.54-9 61. 16.27-52 3o-18 52-34 9. 13 3.12 0.44 0.26 13 10-3 0.86 10 84. 45. 48-64 44-88 63-76 4.62 1,08 10-5 Feb. 1. 8.10. 9-5 76. 4. 44-12 52-98 51-14 10.74 2.99 0.81 0.-07 21 9-7 0.61 12 85. 4.27-03 25-92 61-11 4.84 1.81 12-9 3. 10. 13. 25-4 105.25.14-55 18-31 56-24 13.11 2.56 2.03 0.08 41 9-2 0.21 18 86.37. O'98 1-94 59-04 6.49 1.-68 19-2 5. 12. 3. 13-0 133.51. 8-62 0-64 67-98 14.01 2.03 3.58 0.59 53 8-6 0.01 27 88.57.15-45 13-31 62-14 9.02 1.88 26-0 6. 12. 53. 37-4 147. 36. 15-00 11-47 63-53 13.87 1.78 4.42 0.92 53 8-4 0.00 31 90. 12. 56-66 68-76 57-90 10.39 1.90 29-2 8. 14. 20. 40-6 174. 2.58-20 54-95 63-25 12.54 1.35 5.97 1.43 41 7-6 0.15 40 92. 32. 54-41 53-51 60-90 12.94 1.79 34-7 9.15. 1.55-9 186.48.42-37 39-54 62-83 11.45 1.19 6.63 1.52 31 7-3 0.31 44 93. 30. 33-85 31-14 62-21 13.98 1.68 36-7 11. 1G. 25. 30-6 211.41.24-53 13-63 70-90 8.70 1.00 7.51 1.28 13 6-8 0.75 50 94. 50. 35-97 42-06 53-01 15.45 1.36 39-4 14, 18.46. 0-2 248.34. 5-21 4-20 61-01 4.17 1.06 7.63 0.40 11 6-1 1.60 52 95. 8.38-39 43-18 55-21 15.78 0.80 39-5 15.19.37.58-1 261. 5.18-82 17-71 61-11 2.83 1.17 7.31 0.17 17 5-9 1.89 51 94. 45. 39-38 41-51 57-87 15.37 0.61 38-6 27. 5. 3.52-2 56. 51. 33-15 40-74 52-41 8.06 3.16 0.30 1.01 09 3-2 2.16 11 84.43.67-51 59-20 68-31 4.60 1.03 8-7 28. 6. 4. 10-5 71.37.52-77 63-62 49-15 9.77 3.08 0.22 0.70 07 3-0 1.90 09 84. 56. 44-33 40-01 64-32 4.74 1.26 7-7 Mar. 1. 7. 5.41-6 86. 13. 26-08 36-56 49-52 11.29 2.92 0.33 0.39 10 2-9 1.62 O8 85.28.51-68 49-43 62-25 5.34 1.47 7-4 2. 8. 6. 3-5 100.35.29-12 40-54 48-58 12.52 2.71 0.60 0.15 16 2-7 1.33 08 86. 17. 37-80 35-19 62-61 6.24 1.65 7-9 3. J). 3.14-0 114.42.26-91 3536 51-55 13.41 2.46 1.05 0.02 25 2-5 1.05 O9 87.19. 8-32 5-77 62-55 7.37 1.78 9-2 4. 9.56. 11-6 128. 33. 37-00 41-01 55-99 13.90 2.20 1.63 0.02 35 2-2 0.78 10 88. 28. 58-82 56-94 61-38 8.64 1.87 11-0 7. 12. 15. 15-6 168. 35. 37-02 39 99 57-03 13.09 1.47 3.94 0.74 54 1-8 0.17 19 92. 4.41-87 43-62 58-25 12.57 1.82 18-7 10.14.20. 7-1 206. 35. 50-52 49-74 60-78 9.61 1.04 6.27 1.49 37 1-4 0. 01 32 94. 35. 25-30 29-02 56-28 15. 29 1.41 27-5 11.15. 3.42-4 218.56.67-88 59-85 68-03 8.13 0.98 6.87 1.51 27 1-2 0.07 37 95. 0.51-43 56-78 54-65 15. 74 1.23 30-4 12. 15. 49.28-5 231. 13. 54-63 40-93 73-70 6.60 0.97 7.34 1.39 17 1-1 0. 19 41 95. 12. 21*73 24'96 56-77 15.93 1.04 32-9 13. 16.37.42-8 243. 29. 64-60 50-07 74-53 5.08 1.01 7.64 1. 16 10 1-0 0.35 45 95. 9.30-48 36-25 54-23 15. 85 0.85 35-0 14. 17. 28. 14-3 255. 49. 56-22 51-19 65-03 3.64 1.09 7.77 0.87 07 0-9 0.57 48 94.52.29-15 3-2-28 50-87 15.52 0.67 37-0 28. 4. 58. 56-0 81.38.41-84 48-45 53-39 10.39 3.0'. 0.40 1.16 11 o-o 2.69 20 85. 24. 37-94 35-54 62-40 5.18 1.43 14-8 29. 6. 0.41-5 96.16.28-04 33-03 55-01 11.80 2.84 0.25 0.86 08 o-o 2.52 16 8<>. 9. 13-37 11-50 61-78 6.03 1.61 12-0 April 3. 10. 10. 54-4 164. 3.20-14 25-93 54-21 13.52 1.60 1. 98 0.07 40 o-o 1.25 08 91.43.37-67 40'93 56-74 12. 28 1.84 7-9 5.11.33. 13-1 189. 27. 25-8-2 38-6!) 47-13 11.74 1.23 3. 5-_ 0.56 53 0-1 0.72 11 93. 37. 35-71 31-73 63-98 14.38 1.62 10-2 8. 13. 44. 42-0 226.40. 7-83 10-88 56-95 7. 55 0.97 5.92 1.42 42 0"2 0.14 20 95. 2. 15-68 20-24 55-44 15.90 1.09 17-0 Sub. Sub. Sub Sub. Sub. Sub Sub. ! Sub. Sub Sub. Sub. Sub. Sub. 60"-00 7*. 02 2.00 4.00 6.76 30 20-8 1*. 4-J 30 60-00 10.21 V \\ 1.00 23-7 [264] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich 13 ^ f, *j f~i *^ Ecliptic <*- O. 1 ^ js, *s B . Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabulai Longitude Excess of Observe Longitude y +2 2,'i ij Change for I in Argumen Parallactil Inequality Variation. Change for 1 in Argumen u Evection. Change for i in Arguiner N.P.D. of Moon's Center from Observation. Seconds c Tabular Ecli N. P. D. 2 to ll o rt v fi Change for 1 in Argumen a . WW 1822. ' O t It a e > \ v\ \ \\ g v \ g v " o i a " f v \ \\ > April 9.14.32. 2'3 238. 56. 30-85 26-53 64-32 6.02 0.98 6.54 1.51 32 0-2 0.04 24 95. 3. 14-47 16-91 57-56 15.90 0.90 19-7 10.15.21.35-8 251. 12. 42-77 45-97 56-80 4.52 1.04 7.12 1.47 22 .0-3 0.00 29 94.50.11-21 15-32 55-89 15.63 0.71 22-4 28. 6.39.50-9 133.42. 693 6-14 60-79 13.82 2.26 0.22 0.71 07 2-3 2.76 23 89. 15. 13-23 19-41 53-82 9.43 1.89 17-5 30. 8.10.22-5 160. 6.29-49 23-98 65-51 13.82 1.75 0.57 0.16 16 2-6 2.47 15 91. 33. 31-05 31-97 59-08 12.05 1.85 12-2 May 1. 8.51.53-0 172.52. 7-67 5-62 62-05 13.27 1.52 1.01 0.02 24 2-8 2.26 12 92.34.41-82 46-00 55-82 13.21 1.77 10-4 2. 9.32.32-9 185.26. 5-43 8-14 57-29 12.40 1.33 1.59 0.01 35 2-9 2.02 10 93. 27. 20-70 20-49 60-21 14.20 1.64 8-9 4. 10. 65. 37-1 210. 12. 53-33 59-37 53-96 9.96 1.06 3.06 0.39 51 3-3 1.47 08 94.39.11-29 10-38 60-91 15.55 1.32 7-5 5. 11.39.42-8 222. 30. 37-01 47-78 49-23 8.50 99 3.88 0.71 54 3-6 1.19 08 94. 55. 51-57 50-66 60-91 15.87 1.13 7-5 10. 15. 50. 46-1 284. 12. 43-69 45-69 58-00 1.55 1.34 7.31 1.40 18 4-6 0.11 21 92. 58. 20-41 22-37 58-04 13.64 0.28 15-0 28. 6.50.45-8 168. 45. 14-90 4-27 70-63 13.65 1.66 0.25 0.57 08 9-3 2.83 31 92. 29. 45-02 45-82 59-20 12.97 1.79 24-7 29. 7.31.53-7 181.27.21-28 11-08 70-20 12.98 1.44 0.42 0.28 12 9-6 2.81 26 93.24. 4-02 4-22 59-80 14.01 1.67 21-7 30. 8. 12. 43-8 193. 56. 12-22 7-29 64-93 12.00 1.26 0.78 0.08 19 9-9 2.74 22 94. 7. 30-29 32-45 57-84 14.85 1.53 18-7 31. 8.54.22-1 206. 16. 47-72 43-14 64-58 10.80 1.13 1.29 0.00 29 10-1 2.60 18 94. 38. 54-20 51-33 62-87 15.46 1.36 16-1 June 1. 9.37.42-2 218.32.60-23 59-30 60-93 9.42 1.03 1.93 0.06 39 10-4 2.43 14 94.57. 8-09 3-02 65-07 15.82 1.17 13-7 2. 10. 23. 22-2 230. 48. 16-81 7-46 69-35 7.92 0.98 2.66 0.25 48 10-7 2.21 12 95. 1.37-70 31-48 66-22 15.93 0.98 11-5 3.11.11.32-1 243. 4.31-57 28-24 63-33 6.38 0.97 3.46 0.54 53 11-0 1.95 10 94.52.11-95 4-97 66-98 15.78 0.79 9-8 4.12. 1.52-1 255. 23. 49-01 38-98 70-03 4.87 1.02 4.30 0.87 54 11-3 1.68 08 94. 28. 59-56 59-97 59-59 15.36 0.61 8-6 5. 12. 55. 43-6 267.47.59-11 66-49 62-62 3.45 1.11 5.11 1.18 50 11-8 1.40 08 93.53. 2-51 0-70 61-81 14.71 0.44 7-7 8. 15. 26. 12-3 305. 34. 4-46 8-14 56-31 0.47 1.63 7.09 1.48 22 12-7 0.59 12 91. 4.31-80 27-88 63-92 11.58 0.12 8-5 9. 16. 12. 51-4 318.29. 9-43 16-72 52-71 0.08 1.87 7.49 1.31 14 13-0 0.38 15 89. 55. 55-29 51-46 63-83 10.30 0.10 9-8 11.17.42.62-4 345. 10. 43-55 50-91 52-64 0.45 2.39 7.77 0.74 07 13-6 0.08 22 87. 38. 28-96 23-48 65-48 7.70 0. 19 14-1 12. 18. 28. 21-3 359. 5. 60-51 49-31 61-20 1.22 2.64 7.64 0.43 10 14-2 0.01 27 86. 37. 17-03 5-57 71-46 6.54 0.31 17-0 13.19.15.56-6 13. 28. 30-92 17-55 73-37 2.35 2.86 7.34 0.20 16 14-5 0.00 31 85. 46. 34-54 26-39 68-15 5.56 0.48 20-4 23. 4. 1.13-3 150. 9.26-60 26-13 60-47 14.00 2.06 1.05 1.44 24 17-6 1.92 51 91. 10. 31-59 30-73 60-86 11.36 1.88 39-4 24. 4.46.11-8 163. 40. 63-28 59-83 63-45 13.90 1.80 0.60 1.29 15 17-9 2.18 49 92.19. 7-32 10-26 57-06 12.65 1.81 38-2 25. 5.28.46-4 176. 46. 42-83 36-85 65-98 13.43 1.57 0.33 1.04 09 18-2 2.40 46 93. 18. 18-07 17-60 60-47 13.76 1.71 36-6 26. 6. 10. 18-6 189. 31. 43-16 39-06 64-10 12.64 1.37 0.22 0.74 07 18-6 2.59 43 94. 5. 55-55 55-67 59-88 14.67 1.56 34-5 27. 6.52. 1-4 202. 1.43-66 43-08 60-58 11.58 1.21 0.30 0.43 09 18-9 2.73 39 94. 40. 46-47 48-38 58-09 15.34 i. 40 32-0 30. 9. 7.16-0 238. 53. 34-96 29-04 65-92 7.34 0.97 1.55 0.01 34 20-2 2.80 25 95. 2.42-01 39-49 62-52 15. 83 0.83 23-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. lt s \ \\ \ \\ e > . s \ \\ II g , \ \\ x 60-00 7.02 2.00 4. 00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. ERSJTy [265] Greenwich - - M * Ecliptic B 'H, - ^^^ -i-3 r Mean Solar Time Longitude g-s-g !-s BJt !s .2 ^ a ul 3 = a ?! N. P. D. o x= m ft D C 0. . ~ r\ <*_ C o a o !l Sfi of of J.~ 'S.'s E if .2 5 5 s-s _o Z of -c W . c i- ft. *3S S' sa o . ,9P* Observation of Moon's Limb. Moon's Center from Observation. 5 6C V M fl cci. o O tJ lit 53jf aj P bo -i . c *- a-* 6.s sg- (5 jj 1 w 3 tj)60 = i 1.1 g l 8 w 4) 3 g> a < S.s Moon's Center from Observation. sl* CO j= eU H s" : s I* & * i< t& if- ^ r* |s-| fj.| !< o.S o ^ \ U o / // II II g \ v\ % July 3.11.40.27-9 276. 5.55-31 37-23 78-08 2.96 1.15 3.82 0.69 54 21-1 2.37 14 93. 21. 25-75 24-23 61-52 14.04 0.33 15-4 1 7. 14. 58. 54-6 327. 37. 53-83 50-61 63-22 0.03 1.90 6.79 1.51 28 22-7 1.32 08 88. 58. 29-14 28-44 60-70 9.24 0.11 8-1 11.18. 0.22-8 22. 56. 13-08 14-87 58-21 2.86 2.93 7.74 0.59 08 24-0 0.33 16 85. 12. 14-32 3-67 70-65 5.01 0.63 9-7 12.18.52.41-0 37. 36. 44-48 47-83 56-65 4.38 3.09 7.53 0.31 13 24-3 0.17 19 84.49.62-52 56-53 65-99 4.58 0.85 11-8 13.19.49.51-2 52. 37. 52-41 55-85 56-56 6.09 3.17 7.16 0.12 20 24-9 0.06 24 84. 48. 11-79 12-37 59-42 4.52 1.08 14-8 28. 7.50.28-9 246. 35. 32-00 42-86 49-14 6.75 0.97 0.75 0.09 19 29-5 2.63 42 94. 56. 16-71 15-67 61-04 15.59 0.69 35-9 Aug. 2. 12. 4. 53-6 309. 53. 20-58 2-06 78-52 0.61 1.57 4.24 0.85 54 31-2 2.67 20 90. 34. 26-61 21-22 65-39 10.87 0.10 22-7 8. 10.48.34-9 33. 2.27-87 18-59 69-28 3.41 3.00 7.71 1.07 09 33-1 1.25 08 84.51.21-86 1521 66-65 4.64 0.80 8-0 11.19.41. 8-7 77. 29. 18-05 18-17 59-88 8.54 3.15 7.37 0.20 16 33-8 0.47 14 85. 28. 54-47 73-90 40-57 5.33 1.47 8-7 26. 7. 24. 20-9 266. 17. 52-26 49-28 62-98 4.67 1.03 0.53 0. 19 15 37-4 2.05 50 94. 1.17-84 18-72 59-12 14.53 0.41 40-0 31.11.31.50-1 331.15. 6-16 2-47 63-69 0.06 1.90 3.76 0.67 54 38-5 2.93 32 88. 37. 43-08 36-60 66-48 8.61 0.14 32-7 Sep. 1. 12. 20. 7-0 345. 9.63-19 55-21 57-98 0.10 2. 16 4.59 1.00 53 38-7 2.82 27 87.27. 7-89 1-46 66-43 7.32 0.22 29-7 3. 13. 54. 27-3 13.48.37-16 28-79 68-37 1.36 2.67 6.12 1.47 39 39-0 2.64 19 85.34.37-88 34-13 63-75 5.31 0.54 22-9 6. 1C. 36. 43-3 58. 5. 19-47 1-41 78-06 5.69 3.16 7.60 1.21 11 39-6 2.01 10 84. 53. 64-64 59-63 65-01 4.65 1.21 13-1 9. 19. 40. 57-3 102.20.48-97 44-57 64-40 10.80 2.98 7.53 0.32 12 40-0 1.16 08 87. 7. 5-69 3-74 61-95 7.17 1.76 7-8 27. 9. 22. 10-9 324. 54. 45-71 51-19 54-52 0.23 1.74 1.83 0.04 38 41-5 2.12 50 89. 7.50-17 38-01 72-16 9.08 0.12 39-9 29. 10. 55. 15-9 352.52. 1-62 11-07 50-55 0.22 2.26 3.35 0.49 52 41-6 2.55 43 86.51.47-16 42-63 64-53 6.57 0.31 39-0 30.11.43.19-6 7. 28. 19-51 25-67 53-84 0.80 2.52 4.18 0.82 54 41-6 2.70 39 85. 56. 64-66 58-29 66-37 5.58 0.47 37-5 30.11.45.34-3 7. 29. 39-62 45-87 53-75 0.80 2.52 4.18 0.82 54 41-6 2.70 39 85. 56. 60-39 53-97 66-42 5.57 0.48 37-5 Oct. 3.14.28.42-2 52. 53. 13-68 8-26 65-42 4.62 3.10 6.45 1.51 34 41-6 2.81 26 84.58. 8-13 4-94 63-19 4.58 1.15 29-0 4. 15. 30. 20-9 68. 7.14-05 4-13 69-92 6.36 3.17 7.02 1.49 24 41-6 2.73 22 85.20.25-14 21-27 63-87 5.03 1.38 25-2 5. 1G. 33. 31-1 83.11. 8-79 2-37 66-42 8.13 3.16 7.44 1.33 15 41-6 2.59 18 86. 1.52-60 49-85 62-75 5.84 1.58 21-7 8. 19. 28. 44-2 126. 40. 44-73 39-67 65-06 12.56 2.70 7.65 0.46 10 41-5 1.93 09 89. 19. 20-31 24-47 55-84 9.58 1.90 12-4 9. 20. 18. 46-7 140. 34. 27-56 20-78 66-78 13.43 2.45 7.37 0.21 16 41-4 1.65 08 90. 33. 18-98 26-40 5-2 -58 10.99 1.89 10-2 23. 6.26. 1-8 305. 50. 18-61 20-10 58-51 1.29 1.39 0.28 0.47 09 40-3 0.54 48 90. 36. 33-88 23-70 70-18 10.84 0.10 27-8 25. 7.57.55-1 331. 58. 48-51 52-67 55-84 0.11 1.84 0.90 0.04 23 40-0 1.06 52 88. 19. 57-45 50-68 66-77 8.26 0.15 33-3 27. 9.30.22-5 0. 0.25-13 27-89 57-24 0.39 2.36 2.13 0.11 42 39-8 1.64 52 86. 17. 53-66 47-14 66-52 5.96 0.40 37-9 28.10.19.41-8 14. 48. 30-50 32-71 57-79 1.11 2.61 2.88 0.34 50 39-6 1.92 51 85.33.31-07 25-80 65-27 5.12 0.59 39-3 29.11.12.45-7 30. 4.17-90 20-94 56-96 2.21 2.84 3.70 0.65 54 39-5 2.18 49 85. 6.30-73 29-49 61-24 4.61 0.82 40-0 Sub. Si.b. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. II g \ \ \\ \ \\ f \ \\ g \ n g \ \ \t x 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 GREENWICH LUNAR REDUCTIONS. 2 [M] [266] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich r ~ r Ecliptic s , u C O "c ~ OJ 3 (3 O B O C N.P.D. O . g| * 's 9 65 C . of of & aj ^ .5-1 CS at "G *** 2 I s C C of t. r>* O M . *** . P* Observation Moon's Center u % x ^ bo S c- Site 3 .2 S. bo || u I 1 j? Moon's Center .S . m in T3 . tg & .S S. bo of from ec u. 9 W <~ 1 3 < II s< W !< from V j^Z S 3 "S C ~ B < o 2 Moon's Limb. Observation. i-l o.S 3.s 3.s Observation. P W S o.S ww 1822. d h m s o / // u " g ' \ \\ > ,v s * \ e l o / n " tt r , .V < Oct. 30. 12. 12. 56-5 45.41.54-57 49-25 65-32 3.62 3.02 4.53 0.98 53 39-2 2.41 46 85. 0. 38-69 33-78 64-91 4.51 1.06 39-8 31. 13. 15. 15-3 61.27. 8-02 2-89 65-13 5.27 3.14 5.40 1.27 48 39-1 2.60 42 85.17.13-12 9-04 64-08 4.83 1.30 38-7 Nov. 1. 14. 20. 26-3 77. 8.59-01 60-61 58-40 7.03 3.18 6.12 1.46 39 38-9 2.73 38 85.55. 6-62 1-52 65-10 5.56 1.52 36-7 2. 15. 25. 31-0 92. 35. 44-03 54-11 49-92 8.80 3.14 6.75 1.52 29 38-7 2.81 34 86. 50. 25-98 25-07 60-91 6.61 1.70 34-1 3. 16. 27. 27-6 107.39. 1-18 13-96 47-22 10.45 3.02 7.25 1.43 19 38-6 2.83 29 87. 57. 50-82 54-55 56-27 7.90 1.82 3M 6.18.16.23-8 136. 23. 56-67 56-26 60-41 12.94 2.61 7.75 0.93 08 382 2.69 20 90. 26. 7-09 11-75 55-34 10.71 1.90 24-5 6. 19. 3. 59-5 150. 8.30-46 26-26 64-20 13.66 2.35 7.74 0.61 08 37-8 2.55 17 91.37. 0-58 6-52 54-06 12.06 1.85 21-2 21. 5.50.39-2 326. 20. 54-83 59-28 55-55 0.33 1.69 0.24 0.63 07 34-6 0.08 37 88. 32. 9-56 8-20 61-36 8.66 0.13 17-0 23. 7.19.13-6 353. 4. 27-30 26-52 60-84 0.13 2.19 0.69 0. 12 18 33-8 0.38 45 86. 30. 27-79 25-85 61-94 6.34 0.34 23-5 24. 8. 5.45-0 7. 12.32-19 36-15 56-04 0.61 2.45 1.17 0.01 27 33-5 0.59 48 85.43. 15-91 5-99 69-92 5.43 0.51 26-8 25. 8.55.37-5 21.55.15-51 23-84 51-67 1.49 2.70 1.78 0.04 37 33-2 0.85 51 85.10.31-49 34-67 56-82 4.79 0.72 30-2 27. 10. 50. 16-7 52. 54. 21-02 19-64 61-38 4.22 3.07 3.29 0.48 52 32-7 1.42 53 85. 5. 39-98 36-36 63-62 4.63 1.20 36-3 28. 11. 55. 13-9 68. 53. 42-21 33-93 68-28 5.92 3.16 4.12 0.81 54 32-4 1.72 52 85.37. 4-52 1-71 62-81 5.20 1.43 38-3 28. 11.57.50-1 68.55.21-17 13-69 67-48 5.93 3. 1C 4.12 0.81 54 32-4 1.72 52 85.37. 9-29 6-12 63-17 5.20 1.43 38-3 29. 13. 5. 14-1 84. 56. 30-77 23-13 67-64 7.70 3.17 4.94 1. 13 51 32-1 2.00 51 86. 29. 18-77 16-97 61-80 6.15 1.63 39-7 30. 14. 11. 19-5 100. 44. 32-80 33-19 59-61 9.44 3. 10 5.72 1.38 44 31-6 2.25 48 87. 37. 10-91 8-71 62-20 7.41 1.78 40-0 Dec. 1.15.13. 1-1 116. 7.51-62 60-85 50-77 11.01 2.96 6.45 1.50 34 31-3 2.47 45 88.53.58-71 60-63 58-08 8.83 1.87 39-4 3. 16. 59. 43-1 145.20. 5-27 15-90 49-37 13.26 2.51 7.44 1.34 15 30-7 2.76 37 91.28.37-88 40-66 57"22 11.74 1.87 36-3 5. 18. 30. 11-1 172. 33. 44-71 45-78 58-93 14.01 1.99 7.78 0.78 07 30-1 2.83 28 93.33. 11-31 21-34 49-97 14. 10 1.6d 31-1 6. 19. 12. 47-6 185.36.25-81 25-85 59-96 13.81 1.74 7.67 0.48 09 29-8 2.77 24 94. 17. 25-55 32-92 52-63 14.95 1.50 28-3 7. 19. 55. 20-6 198. 22. 47-48 50-23 57-25 13.25 1.52 7.42 0.23 15 29-2 2.66 19 94. 47. 46-94 50-69 56-25 15.54 1.32 25-2 20. 5. 14. 3-1 347. 49. 25-38 28-11 57-27 0.03 2.03 0.24 0.81 07 25-1 0.04 25 86. 37. 53-86 48-98 64-88 6.63 0.30 9-4 21. 5.58. 2-1 1. 17. 8-40 7-85 60-55 0.27 2.29 0.27 0.49 08 24-8 0.00 30 85.48. 8-07 653 61-54 5.69 0.45 11-3 22. 6.44.25-0 15. 13. 12-76 7-81 64-95 0.90 2.55 0.48 0.2-2 14 24-4 0.02 34 85.11.20-11 18-44 61-67 4.98 0.64 13-7 25. 9.30.57-6 60. 9.36-50 44-99 51-51 4.83 3.12 2.08 0.10 42 23-1 0.43 46 85. 12. 39-94 41-36 58-58 4.89 1.33 24-0 26. 10. 36. 35-8 75. 59. 40-62 52-11 48-51 6.58 3.18 2.88 0.32 50 22-8 0.66 49 85. 56. 37-26 39-13 58-13 5.66 1.54 27-8 27.11.44. 1-9 91.58.34-24 37-37 56-87 8.37 3.16 3.70 0.63 54 22-5 0.93 51 86. 59. 56-56 55-31 61-25 6.79 1.72 31-6 28. 12. 52. 4-5 107. 53. 12-36 13-99 58-37 10.05 3.05 4.53 0.97 53 22-1 1.22 52 88.17. 5-57 1-29 64-28 8.19 1,84 34-7 29.13.52.47-5 123.27.28-17 33-80 54-37 11.53 2. 89 5.34 1.26 48 21-8 1.51 53 89. 40. 25-80 25-66 60-14 9.70 1.90 37-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. ft S \ % u \ \\ g \ vv e \ ^ a K \ \ ^ 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [267] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. X u ~ 1-1 aj Change for 08-1 in Argument. Parallactic Inequality. Variation. Change for 05-1 in Argument. d 1} Evection. Change for OS- 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. J..S os. . Is* Effect of Mean Inclination. Change for OS' 1 1 in Argument. So 80; 1* WW 1823. d h m s Jan. 3.17.52.32-3 O / II 193.55.28-11 tt 33-98 it 54-13 n v 13.64 e * 0.95 08 \ 19-8 e " 2.68 40 O 1 It 94. 49. 29-95 It 34-18 ff 55-77 e > 15.42 \ \\ 1.37 38-4 1.65 7.75 19. 5.27.58-3 24. 19. 22-64 29-65 52-99 1.24 2.64 0.23 0. 66 07 14-2 0.23 18 84. 50. 6-34 3-31 63-03 4.64 0.80 7-5 23. 9.21.19-6 83.47. 9-17 20-99 48-18 7.26 3.18 1.73 0.03 37 12-7 0.04 35 86. 22. 56-62 58-82 57-80 6.27 1.65 14-6 24. 10. 26. 38-7 99.22.41-70 22; 1 4 79-56 9.02 3.13 2.44 0.19 46 12-4 0. 14 40 87. 33. 15-26 17-57 57-69 7.54 1.80 18-0 Feb. 3. 18. 50. 49-7 239.26. 3-67 9-44 54-23 10.25 1.08 7.69 0.50 09 9-2 2.57 43 94. 53. 16-20 13-36 62-84 15.49 0.65 39-8 4.19.40.38-8 251.42.59-77 63-25 56-52 8.81 1.00 7.42 0.24 15 8-9 2.71 39 94. 20. 37-21 38-15 59-06 14.90 0.48 39-1 19. 7. 8.43-2 77. 51. 51-90 64-12 47-78 6. 15 3.17 0.48 0.23 13 5-0 0.35 15 86. 2.35-30 38-61 56-69 5.96 1.60 7-5 20. 8.11.37-1 92. 49. 58-70 64-61 54-09 7.94 3.17 0.87 0.05 21 4-8 0.19 19 87. 4. 16-77 15-61 61-16 7.10 1.75 7-6 21. 9.13.26-5 107. 53. 40-50 43-77 56-73 9.65 3.09 1.41 0.00 32 4-6 0.07 23 88.18.23-84 19-89 63-95 8.46 1.86 8-6 22. 10. 12. 10-1 122. 57. 24-09 28-51 55-58 11.18 2.93 2.08 0.09 41 4-4 0.01 28 89. 39. 25-02 22-93 62-09 9.94 1.90 10-2 23.11. 6.56-8 137. 55. 16-90 25-37 51-53 12.44 2.73 2.83 0.31 49 4-0 0.01 32 91. 1.16-00 12-96 63-04 11.44 1.88 12-6 24.11.58. 1-4 152.41.43-67 49-25 54-42 13.35 2.48 3.64 0.62 53 3-8 0.06 37 92. 17.42-69 44-92 57-77 12. 83 1.80 15-4 25. 12. 48. 27-4 167. 12. 47-03 52-10 54-93 13.87 2.22 4.47 0.95 53 3-6 0.18 41 93. 23. 44-53 51-68 52-85 14. 02 1.67 18-7 26. 13. 34. 55-7 181. 21. 57-93 63-47 54-46 14.01 1.96 5.29 1.24 48 3-4 0.34 45 94. 15. 33-71 35-73 57-98 14.95 1.50 21-9 27. 14. 20. 47-3 195. 8.25-24 27-59 57-65 13.76 1.71 6. 02 1.44 40 3-2 0.56 48 94. 50. 53-14 54-39 58-75 15.58 1.31 25-2 Mar. 1.15.54.11-2 221. 33. 19-98 21-39 (5859) 12.24 1.30 7.19 1.45 20 2-9 1.08 52 95.10.23-33 42-01 (41-32) 15.90 0.90 31-3 19. 6. 4.38-1 88. 9. 4-10 20-39 43-71 6. 83 3.18 0.23 0.67 07 0-5 1.28 08 86. 53. 19-78 25-31 54-47 6.83 1.73 13-5 20. 7. 5.36-2 102. 52. 30-47 45-80 44-67 8.61 3.15 0.34 0.37 10 0-4 1.00 09 88. 1.48-02 49-10 58-92 8.12 1.84 11-0 21. 8. 3.47-2 117.32.19-88 35-69 44-19 10.26 3.04 0.66 0.13 17 0-3 0.74 11 89.17.41-62 41-94 59-68 9.55 1.89 9-1 23. 9. 49. 14-9 146.33.44-11 57-82 46-29 12.83 2.64 1.73 0.03 36 0-2 0.30 16 91. 50. 41-29 43-65 57-64 12.40 1.83 7-4 27. 12. 57. 50-6 202. 25. 13-24 20-65 52-59 13.57 1.62 4.88 1.09 51 0-1 0.02 33 94. 56. 35-37 31-81 63-56 15.82 1.18 12-6 30. 15. 23. 28-3 241.25.40-98 32-62 68-36 10.58 1.11 6.95 1.50 25 o-o 0.39 46 94. 30. 48-39 48-63 59-76 15.28 0.58 20-7 April 18. 6.54.32-1 127.41.37-19 49-05 48-14 10.84 2.98 0.26 0.52 08 0-9 1.77 09 90. 25. 38-85 36-44 62-41 10.71 1.90 18-7 19. 7.45.43-1 141.58.40-84 51-35 49-49 12. 17 2.78 0.46 0.24 13 1-1 1.49 08 91.39.15-59 20-04 55-55 12.10 1.85 15-6 20. 8.33.40-8 156. 2.51-34 69-59 41-75 13.16 2.54 0.84 0.06 21 1-2 1.20 08 92. 45. 42-79 46-99 55-80 13.37 1.75 12-8 21. 9.19.34-1 169.55. 8-18 29-23 38-95 13. 7S 2.28 1.37 0.00 31 1-3 0.93 09 93. 41. 17-87 18-40 59-47 14.42 1.61 10-5 22. 10. 4. 32-8 183.35.43-51 67-88 35-63 14.01 2.02 2.03 0.08 41 1-4 0.67 11 94.23. 9-89 9-33 60-56 15.22 1.43 8-9 24. 11. 35. 50-3 210. 20. 37-13 65-70 31-43 13.33 1.54 3.58 0.59 53 1-6 0.26 17 94. 59. 53-97 47-86 66-11 15.93 1.03 7-4 27. 14. 6. 2-3 248. 52. 45-15 48-86 56-29 10.07 1.07 5.97 1.43 41 2'2 0.00 30 93. 59. 34-02 26-71 67-31 14.81 0.46 9-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60'-00 7. 02 2.00 4.00 0.76 \\ 30 20-8 e \ 1.42 30 6o'-00 10.21 i.oo 23-7 2 [M] 2 [268] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwicb Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. it Change for Oi-\ I in Argument. Parallactic Inequality. Variation. Change for OS- 1 I in Argument. ~ c g.2 c "a! s = Evection. < CliangeforO'"! 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of TabularEclipticJ N. P. D. Excess of Ob- 1 served Ecliptic I N. P. 1). Effect of Mfan Inclinntion. Chance for O^'l 1 in Argument. Q 1823. d h m s April 28. 14.57. 16-3 o / " 261. 18. 50-67 a 52-89 57-78 8.60 g ' 1.52 31 2-3 g * 0.03 35 / 93. 14. 25-30 2737 57-93 g * 13. 9(i 0. 32 113 1.00 6.63 29. 15. 47. 56-9 273.36. 18-11 17-63 60-48 7.07 0.97 7.16 1.46 21 2-5 0. 12 39 92. 20. 49-65 44-80 64-85 12.95 0.21 13-3 30.16.37.11-4 285. 48. 56-59 49-26 67-33 5.54 0.99 7.53 1.27 13 2-6 0. 2fi 43 91. 20. 49- 5( 45-5S 63-98 11. 82 0.14 15-9 May 1.17.24.29-5 298. 1.19-41 19-40 60-01 4.08 1.06 7.74 1.00 08 2-8 0.45 16 90. 16.64-16 57-04 67-12 10. 62 0. 10 18-4 16. 5.42.43-7 137. 37. 17-93 21-30 56-63 11.39 2.91 0.29 0.99 09 5-9 2.61 18 91.32.21-03 21-40 59-63 11.83 1.86 31-6 17. 6.31.54-6 151.51.20-59 25-17 55-42 12.59 2.69 0.23 0. 6S 07 6-1 2.44 15 92.41. 4-43 8-91 55-52 13. 13 1.77 28-5 18. 7.18.14-1 165. 45. 53-20 56-10 57-10 13.44 2.45 0.34 0.39 10 63 2.22 12 93. 38. 40-45 42-29 58-16 14.23 1.64 25-0 19. 8. 3. 0-1 179.23. 4-42 16-58 47-84 13.92 2.18 0.63 0.14 16 6-6 1.97 10 94. 22. 30-82 30-97 59-85 15.08 1. 47 21-9 23.11. 7.34-9 231.39.59-40 71-61 47-79 12. 10 1.28 3. 17 0.42 51 7-8 0.86 10 94.41.56-39 47-42 68-97 15. 56 0.68 11-2 27. 14. 31. 42-2 281.21. 3-16 11-27 51-89 6.49 0.97 6.31 1.49 36 9-1 0.09 22 91. 32. 42-21 37-44 64-77 12.11 0. 15 7-4 28. 15. 19. 35-0 293.31.52-42 56-66 55-76 4.97 1.01 6.91 1.51 26 93 0.02 27 90.28.31-89 27-74 64-15 10. 92 0.11 7-8 29. 16. 5. 18-6 305. 43. 17-02 18-87 58-15 3.55 1.10 7.37 1.38 17 9-6 0.00 31 89.22.49-21 4690 G2-31 9.70 0. 10 8-7 30.16.49. 8-0 318. 0. 8-19 10-87 57-32 2.30 1.23 7.65 1.15 10 9-9 0. 05 36 88. 18. 15-05 12-79 62"26 8.49 0.14 10-0 31. 17. 31. 43-0 330.28. 8-69 7-47 61-22 1.27 1.40 7.77 0.85 07 10-1 0.15 40 87.17.30-53 26-30 64-23 7.35 0.22 11-7 June 1.18.13.58-1 343. 13. 7-66 3-98 63-68 0.52 1.61 7.71 0.54 09 10-4 0.30 44 86. 23. 23-95 16-49 67-40 6.32 0. 34 13-9 15. 6. 1.15-9 175. 7. 3-25 2-74 60-51 13.67 2.35 0.25 0.85 08 148 2.80 25 94.21.41-21 44-63 56-58 14.93 1.51 36-6 16. 6.46. 8-6 188. 40. 59-64 53-30 68-34 13.99 2.08 0.26 0.54 08 15-1 2.71 21 94. 54. 23-90 25-36 58-54 15.56 1.32 34-3 17. 7.31. 4-9 201.55. 7-93 9-26 58-67 13.93 1.83 0.44 0.26 13 15-4 2.57 17 95. 10. 28-27 29-13 59-14 15.88 1. 1-2 31-8 20. 9.53.46-1 240. 12.41-43 43-97 57-46 11.67 1.2-2 1.98 0.07 40 16-7 1.90 '09 94. 24. 48-05 45-72 62-33 15.13 0.54 22-9 23. 12. 27. 39-8 277.14.53-15 52-60 60-55 7.44 0.97 4.36 0.91 53 17-6 1.06 09 91. 50. 39-98 33-74 06-24 12.37 ). 17 14-8 24. 13. 16. 13-1 289. 26. 38-85 43-86 54-99 5.90 0.98 5.17 1.21 49 17-9 0.79 10 90. 45. 48-66 45-71 62-95 11. 18 0.11 126 28.16.11.15-5 338. 40,46-34 48-12 58-22 0.95 1.47 7.51 1.29 13 19-5 0.07 23 86.33. 4-94 0-07 64-87 6.56 0.31 7'5 29.16.53. 2-5 351.20. 7-31 3-98 63-33 0.32 1. 69 7.73 1.02 08 19-8 0.01 28 85. 45. 27-68 20-67 67-01 5.67 0.45 75 July 21. 11.10.54-4 285. 26. 29-66 19-64 70-02 6.86 0.97 3.12 0.41 51 27-4 2.09 11 91. 7.60-44 56-50 63-94 11.44 ). 12 28-0 29.17. 4.58-1 26.55.34-19 34-58 59-61 0.28 2.30 7.76 0.88 07 30-1 0. 15 20 84.42.48-41 43-54 64-87 4.50 0.99 8-5 Aug. 14. 6. 35. 25-2 244. 20. 40-8 1 48-47 52-34 11.94 1.26 0.25 0.56 08 34-6 2.66 41 94. 13. 4'4fi 4-55 59-91 14.74 ). 45 39-5 15. 7.26.18-2 256.46.10-09 17-51 52-59 10.72 1.12 0.42 0.27 12 34-8 2.77 37 93.26.39-01 34-20 64-81 13.87 9.31 399 16. 8. 17. 1-2 269. 2.54-99 52-05 6294 9.31 1.02 0.78 0.07 20 35-0 2.83 32 92.31. 8-45 5-30 6309 12.85 9.20 39-9 18. 9.54.39-4 293.27. 6-76 0-33 66-43 6.27 0.98 1.93 0.07 40 35-5 2.70 23 90.23.12-67 7-98 64-69 10.50 9.10 38-3 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sob. Sub. 60-00 7. 02 2! Oo 4. 00 0. 76 \\ 30 20-8 1. 4-2 30 6'J'OO 10. 21 i . oo 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [269] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. *& S.'i i| Change for 08-1 1 in Argument. Parallactic Inequality. Variation. Chans-eforOs-l 1 in Argument. c K 3 11 < tr a Erection. Change for 03-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. F. D. 1 05-x <*. """ = w p; ji! s Effect of Mean Inclination. Change for (IS- 1 1 in Argument. .Sx C " C , |z Hli4 1823. d h m 3 ' // // tt s * \ \\ \ \\ g > * / II H // e V \ Aug. 19. 10. 40. 39-8 305. 42. 37-91 23-89 74-02 4.77 1.02 2.66 0.26 48 35-7 2.65 19 89. 15. 00-76 55 32 65-44 9.27 0.11 3G-7 21. 12. 7. 33-5 330. 35. 29-84 15-24 74-60 2. 14 1.25 4. 3( 0.88 54 36-4 2.27 12 87. 9.21-40 20-63 60 83 6.97 0.26 32-4 21. 12. 9. 38-2 330. 36. 33-53 18-81 74-72 2. 14 1.25 4.30 0.88 54 30-4 2.27 12 87. 9. 16-43 15-70 60-73 6.97 0.26 32-4 22.12.51.41-4 343. 18. 32-25 19-36 72-89 1. 15 1. 42 5. 11 1.19 50 36-6 2.03 10 86. 15. 55-59 54-71 60-88 6.01 0.39 29-9 26.15.52. 8-6 36. 26. 64-73 54-30 70-43 0.48 2. 40 7.49 1.31 14 37-4 0.92 09 84. 52. 38-81 33-25 65-56 4.59 1.17 17-5 28. 17.42.22-4 64. 42. 57-07 57-77 59-30 2.43 2.87 7.77 0.72 07 38-0 0.44 14 85. 52. 70-98 53-54 77-44 5.76 1.57 11-8 Sep. 11. 5. 18.50-9 251. 56. 59-93 66-14 53-79 11.50 1.20 0.31 1.03 09 40-1 1.83 52 93. 36. 30-03 17-27 72'76 14.13 0.34 31-1 12. 6. 10. 9-9 264.23.15-27 21-22 54-05 10.21 1.08 0.22 0.72 07 40-2 2.10 50 92.43.51-60 40-33 65-27 13.13 0.23 33-5 13. 7. 0. 28-1 276. 39. 29-57 36-84 52-73 8.75 1.00 0.31 0.42 09 40-4 2.34 47 91. 44. 26-43 21-33 65-10 12.01 0.14 35-0 14. 7.49. 6-7 288. 51. 25-03 25-88 59-15 7.23 0.97 0.57 0.17 15 40-5 2.54 44 90. 40. 41-46 34-47 66-9!) 10. 82 0. 10 37-5 15. 8.35.46-8 301. 4. 16-11 14-23 61-88 5.69 0.99 1.01 0.02 24 40-6 2.69 40 89. 34. 62-29 57-52 64-77 9.59 ). 10 38-8 16. 9.20.34-5 313 23. 6-84 2-29 64-55 4.23 1.05 1.59 0.01 34 40-7 2.79 35 88.30.12-43 8-48 63-95 8.38 0.15 39-6 17. 10. 3. 55-4 325. 52. 12-82 6-30 66-52 2.88 1. 16 2.28 0.14 44 40-8 2.83 31 87. 28. 56-38 54-67 61-71 7.25 0.23 40-0 18.10.46.29-9 338. 34. 52-61 44-40 68-21 1.74 1.31 3.06 0.39 51 40-9 2.81 26 86. 34. 14-63 13-43 61-20 6.24 0.35 39-8 19. 11.29. 8-1 351. 33. 15-00 6-18 68-82 0.84 1.50 3.88 0.70 54 41-0 2.74 22 85.49. 8-84 6-99 61-85 5.42 0.51 390 20. 12. 14. 54-5 4.49.31-08 19-46 71-62 0.26 1.73 4.71 1.03 52 41-1 2.61 18 85. 16. 31-66 30-10 61-50 4.83 0.70 37-7 22. 13.49.16-1 32. 8.51-96 34-85 77-11 0. 18 2.24 6.22 1.48 38 41-3 2.21 12 84. 58. 35-90 33-93 61-97 4.55 1.12 33-3 24. 15. 37. 44-3 60. 24. 69-27 50-02 79-25 1.68 2.74 7.31 1.41 18 41-4 1.69 08 85.51.20-14 14-49 65-60 5.59 1.63 27-0 26. 17.37.41-1 89.23.51-49 43-23 68 '26 4.50 3.09 7.76 0.89 07 41-5 1.12 08 87.47.21-19 17-57 63-62 7.81 1.82 20-2 Oct. 12. 0.29. 7-0 296. 6. 3-80 2-75 61-05 6.65 0.97 0.25 0.58 08 41-4 1.62 52 89. 47. 47-20 38-01 69-25 9.94 0.10 26-0 13. 7. 14. 22-6 308. 18. 33-89 35-69 58-20 5.13 1.01 0.40 0.29 12 41-3 1.90 51 88.43.48-89 40-55 63-34 8.74 0.13 28 -7 14. 7.57.57-8 320. 38. 33-07 32-99 60-08 3.70 1.09 0.75 0.09 19 41-2 2.17 49 87. 42. 53-09 43-98 69-11 7.58 0.20 31-3 15. 8.40.33-5 333. 11. 22-60 25-55 57-05 2.43 1.21 1.25 0.00 29 41-1 2.39 46 86. 47. 37-96 28-23 09-73 6.54 0.31 33-9 16. 9.23. 2-6 34(5. 1.48-22 52-12 56-10 1.36 1.38 1.88 0.06 39 41-0 2.58 43 86. 0.52-24 43-50 08-74 5.65 0.40 36-1 19. 11.39.59-0 26. 41.04-59 58-57 06-02 0.04 2.07 4.24 0.86 54 40-8 2.83 30 85. 0.29-81 24-51 05-30 4.51 1.00 399 ly. 11.42.13-7 26. 43. 15-86 15-13 60-73 0.04 2.07 4.24 0.86 54 40-8 2. 83 30 85. 0.2864 25-13 63-51 4.51 1.00 39-9 22.14.30.19-0 70. 9. 53-83 47-94 05-80 2.13 2.83 6.49 1.51 33 40-4 2.57 17 86.37. 9-14 7-10 02 '04 6.33 1.66 376 23. 15.31.45-9 84.55.49-18 42-34 66-84 3.52 3.01 7.09 1.48 23 40-3 2.38 14 87. 40. 51-48 49-01 61-87 7.53 1.80 35-4 24. 16.32.41-3 99.41.44-10 38-07 60-03 5. 15 3.13 7.49 1.31 14 40-2 2.14 11 88.54. 2-13 0-46 61-67 8.92 1.88 32-7 Nov. 10. 5.51.38-3 315. 25. 32-05 23-80 68-25 4.58 1.03 0.22 0.75 07 37-2 0.83 51 87. 52. 13-84 7-91 65-93 7.92 D. 18 15-2 Sub. 60- Oo' Sub. Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. g \ 1.42 Sub. 30 Sub. 00-00 Sub. 0.21 Sub. 1. 00 Sub. 23-7 7.02 2.00 4.00 . [270] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. !! a| Change for Os-1 in Argument. Parallactic Inequality. Variation, Change for fls- 1 1 in Argument. Annual Equation. Evection. Change for 0'l 1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. -O '^ a % Effect of Mean Inclination. Change for Os-1 1 in Argument. Evection in E.N.P.D. 1823. *.*".* O r H ir n s v X i \\ i > K ' Q I II " " f - \ \\ . Nov. 12. 7.15.44-9 340. 14. 49-97 49-64 60-33 2.00 1.27 0.55 0.18 15 36-8 1.40 53 86. 7. 13-26 5-91 67-35 5.93 0.41 20-7 13. 7.57.59-2 353. 5.41-37 44-31 57-06 1.04 1.45 0.97 0.03 23 36-6 1.69 52 85. 28. 59-80 54-03 65-77 5.19 0.57 23-7 16.10.19. 1-9 34. 13. 25-24 26-64 58-60 0.11 2.17 3.00 0.36 50 35-7 2.45 45 85. 3.31-39 38-29 53-10 4.63 1.20 33-1 19.13.19.21-8 78. 59. 58-56 50-45 68-11 2.62 2.90 5.45 1.29 47 35-0 2.82 33 87. 22. 25-04 24-54 60-50 7.14 1.76 39-3 20. 14. 22. 46-5 94. 14. 55-22 55-72 59-50 4.12 3.07 6.17 1.47 38 34-8 2.83 28 88. 37. 28-37 30-19 58-18 8.53 1.86 40-0 Dec. 9. 5.10.24-8 335. 2.13-60 4-08 69-52 2.72 1.18 0.26 0.92 08 28-9 0.23 42 86. 13. 50-80 45-60 65-20 6.18 0.36 8-4 10. 5.51.26-2 347.29.41-83 32-07 69-76 1.61 1.33 0.24 0.60 08 28-6 0.41 46 85.32. 4-12 5-22 58-90 5.40 0.52 9-6 12. 7.17.24-2 13. 25. 19-09 17-21 61-88 0.21 1.75 0.72 0.10 18 28-0 0.90 51 84. 47. 24-90 23-93 60-97 4.54 0.90 13-5 13. 8. 4.50-5 27. 3.57-29 57-07 60-22 0.03 2.01 1.21 0.00 28 27-7 1.18 52 84.49. 4-59 3-92 60-67 4.54 1.11 16-3 14. 8.56.49-5 41. 14. 19-50 16-77 62-73 0.23 2.27 1.83 0.05 38 27-4 1.47 53 85. 9.17-20 21-90 55-30 4.88 1.32 19-7 15. 9.53.59-7 55. 56. 26-00 23-04 62-96 0.84 2.53 2.55 0.23 47 26-7 1.76 52 85.49. 8-25 8-87 59-38 5.58 1.53 23-2 18.13. 7.40-7 102.19. 9-23 9-03 60-20 4.75 3.11 5.05 1.16 50 25-8 2.50 44 89. 24. 57-82 56-13 61-69 9.47 1.89 33-7 19.14. 9.13-6 117.57.25-58 24-70 60-88 6.48 3.17 5.82 1.40 43 25-4 2.67 41 90. 50. 56-96 62-58 54-38 11.03 1.89 36-4 20.15. 6.27-2 133. 23. 42-55 45-18 57-37 8.25 3.16 6.49 1.51 33 25-1 2.78 36 92. 12.27-21 25-88 61-33 12.52 1.82 38-4 22.16.49. 5-7 163.16. 4-60 8-59 56-01 11.42 2.90 7.47 1.32 14 24-1 2.82 27 94.18. 0-83 5-32 55-51 14.82 1.53 40-0 25. 19. 10. 42-6 205. 13. 23-38 25-37 58-01 13. 92 2.18 7.65 0.45 10 23-1 2.47 15 95. 14. 32-90 37-64 55-26 15.90 0.91 36-9 1824. Jan. 8. 5.11.19-7 8. 1.29-47 22-20 67-27 0.51 1.61 0.23 0.77 07 18-1 0.03 35 84. 47. 16-34 13-33 63-01 4.59 0.83 7-6 11. 7.36.37-5 48. 31. 65-00 56-45 68-55 0.41 2.37 0.94 0.04 23 17-1 0.47 47 85. 23. 59-08 60-91 58-17 5.26 1.45 9-1 12. 8.34.29-8 63. 3.32-29 29-11 63-18 1.16 2.62 1.50 0.01 33 16-8 0.71 50 86. 12. 29-89 30-49 59-40 6.13 1.63 11-0 13. 9.36.45-1 78. 6.39-60 41-19 58-41 2.29 2.85 2.18 0.12 43 16-5 0.98 51 87.18. 8-87 7-29 61-58 7.32 1.78 13-5 18. 14. 38. 52-9 156. 36. 29-88 36-15 53-73 10.52 3.01 6.12 1.47 38 14-6 2.36 47 93.56.11-27 11-92 59-35 14.50 1.60 31-8 22. 17. 55. 40-3 214. 14. 21-49 19-64 61-85 14.00 2.08 7.75 0.92 08 13-0 2.83 31 95. 5.28-94 39-37 49-57 15.70 0.75 39-7 23. 18. 45. 32-8 227. 31. 41-00 38-63 62-37 13.92 1.82 7.74 0.61 08 12-7 2.81 26 94.37.51-88 51-90 59-98 15.19 0.56 40-0 Feb. 9. 7. 19. 25'6 71. 2.46-57 40-71 65-86 1.54 2.71 0.69 0.11 18 7-6 0.05 36 86.50. 7'82 4-43 63-39 6.85 1.73 7-7 10. 8.20.42-2 85. 47. 15-02 7-79 67-23 2.80 2.93 1.17 0.00 27 7-3 0.16 40 87. 59. 48-94 55-96 52-98 8.14 1.84 7-4 11. 9.23.13-1 100. 58. 25-46 24-90 60-56 4.32 3.08 1.83 0.04 38 7-1 0.32 44 89.20. 5-72 7-49 58-23 9.62 1.90 8-0 12. 10. 24. 42-5 116.31. 1-09 11-75 49-34 6.03 3.17 2.55 0.22 47 6-8 0.53 48 90. 44. 55-77 56-33 59-44 11.17 1.89 9'4 15. 13. 14. 47-3 163. 46. 49-81 65-18 44-63 11.07 2.95 5.00 1.14 51 5-9 1.35 53 94. 16. 57-25 59-19 58-06 15.02 1.49 18-2 18.15.47.11-7 208. 28. 49-34 49-96 59-38 13.85 2.24 7.02 1.49 24 5-2 2.18 49 95. 5. 9-40 9-02 60-38 15.81 0.81 28-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. eo'-oo 7.02 2.00 4.00 0.76 \\ 30 20-8 1.42 H 30 60-00 s \ 10.21 \ \\ 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [271] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. |jf| o .J Excess of Observed Longitude. f| Change for OS- 1 1 in Argument. a S- ! ! &M d o .Is I Change forfls-1 1 in Argument. Annual Equation. Evection. Change for Qs-1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N.P. D. .2 5 Q. . r*l W y "8 el P| Change for Os- 1 1 in Argument. .2 X wa 1824. d h '" ' O t If " " s v V \\ V a " \\ s ' o / n " n g V . Mar. 8. 6. 9. 50-8 80.11.24-48 32-16 52-32 1.98 2.80 0.28 0.48 09 1-7 0.16 20 87.44. 7-94 8-19 59-75 7.76 1.81 15-0 9. 7. 9.40-7 94.40. 2-93 3-48 59-45 3.34 2.99 0.51 0.21 14 1-4 0.06 24 88. 57. 5-66 5-37 60-29 9. 14 1.89 12-2 12.10. 2.54-1 139.59. 9-23 19-87 49-36 8.46 3. 15 2.13 0.11 42 1-1 0.08 37 92. 48. 23-41 19-73 63-68 13.47 1.74 7-5 13. 10.56.21-1 155.28.22-71 41-99 40-72 10.13 3.05 2.88 0.34 50 1-0 0.20 42 93. 49. 40-97 41-76 59-21 14.61 1.57 7-6 14.11.48.17-7 170. 56. 18-99 33-45 45-54 11.58 2.88 3.70 0.65 54 0-9 0.38 45 94.34. 3-61 0-99 62-62 15.43 1.37 8-5 16. 13. 33. 26-0 201.11.57-83 62-22 5561 13.54 2.41 5.34 1.27 48 0-7 0.85 51 95. 1. 6-23 5-92 60-31 15.90 0. 90 12-6 19.16.12.48-6 243. 18. 23-92 23-09 60-83 13.61 1.64 7.25 1.43 19 0-4 1.72 52 93.23.32-11 43-71 48-40 14.02 0.33 21-7 April 9. 8.45.51-2 148. 53. 23-34 43-92 39-42 9. 11 3.12 1.17 0.01 27 0-3 0.13 21 93. 34. 54-56 52-19 62-37 14. 26 1.63 14-1 \ 11. 10. 27. 0-3 178.56.48-10 60-57 47-53 12.06 2.80 2.49 0.20 46 0-4 0.00 30 94. 51. 39-85 31-85 68-00 15.74 1.23 9-3 12.11.17.39-7 193.51.48-80 59-13 49-67 13.09 2.57 3.29 0.48 52 0-5 0.02 34 95. 0.40-97 40-93 60-04 15.93 1.00 8-0 13.12.11.43-4 208. 34. 47-71 49-50 58-21 13.75 2.31 4.12 0.80 54 0-5 0.11 39 94. 49. 40-96 41-79 59-17 15.74 0.77 7-4 . 14.13. 4.57-3 222. 56. 54-24 51-31 62-93 14.01 2.04 4.94 1.12 51 0-6 0.24 43 94. 20. 30-00 25-87 64-13 15.20 0.56 7-7 17. 15.48. 4-7 263. 36. 15-91 10-05 65-86 12.56 1.36 6.98 1.49 24 1-0 0.93 51 91.37.48-08 48-45 59-63 12.16 0.15 12-0 18. 16. 40. 2-8 276.22. 7-52 4-68 62-84 11.46 1. 19 7.42 1.35 15 1-1 1.21 52 90.31.60-53 41-91 78-62 10.91 0.11 14-3 19. 17.29.21-4 288. 50. 29-23 26-61 62-62 10. 15 1.07 7.69 1.10 09 1-2 1.50 53 89. 25. 29-97 26-01 63-96 9.67 0.10 16-8 20. 18. 15.51-5 301. 6.56-98 55-35 61-63 8.71 1.00 7.78 0.79 07 1-3 1.79 52 88.21.50-74 46-08 64-66 8.46 0.14 19-7 May 9. 9. 9. 37-5 187.58.39-60 63-95 35-65 12.49 2.71 1.41 0.00 32 4-4 0.41 14 95. 6. 9-21 6-04 63-17 15.92 1.07 19-7 10. 9. 59. 38-6 202. 25. 30-61 60-10 40-51 13.38 2.47 2.08 0.10 42 4-8 0.23 18 95. 0.16-53 8-86 67-67 15.84 0.84 16-3 16 15.20.45-9 283. 33. 16-64 11-16 65-48 10.99 1.14 6.71 1.52 30 6-1 0.29 44 89.41.46-99 48-63 58-36 10.04 0.10 7-5 June 6. 7. 55. 24-9 197.41.31-31 52-39 38-92 12.87 2.62 0.66 0.13 17 12-1 1.36 08 95.11. 7-66 9-33 58-33 15.89 0. 89 32-4 7. 8. 45. 25-7 211.44. 9-68 32-59 37-09 13.62 2.37 1.13 0.01 27 12-4 1.08 09 94. 51. 19-33 17-53 61-80 15.56 0.68 295 8. 9. 37. 9-5 225. 33. 41-38 65-02 36-36 13.98 2.11 1.73 0.03 37 12-7 0.81 10 94. 14. 48-90 41-72 67-18 14.91 0.49 26-3 11.12.20.39-4 265.36. 7-80 16-75 51-05 12.79 1.40 4.06 0.79 54 13-9 0.19 19 91. 15.60-15 50-84 69-31 11.69 0.13 16-8 12. 13. 12. 38-2 278.25.43-08 52-32 50-76 11.75 1.23 4.88 1. 11 51 14-2 0.07 23 90. 5. 50-90 46-42 64-48 10.42 0.10 14-1 15. 15.32.20-5 315.39.48-57 48-79 59-78 7.56 0.97 6.95 1.50 25 15-1 0.06 37 86.52.61-09 54-86 66-23 6.90 0.27 8-8 July 7. 9. 19. 6-3 248. 5. 2-2S 18-37 43-91 13.83 1.75 1.41 0. 00 31 22-7 1.57 08 92. 45. 53-82 46-83 66-99 13.17 0.23 35-2 8. 10. 12. 23-3 261. 5.14-05 22-02 52-03 13.29 1.53 2.08 0. 10 41 23-0 1.29 08 91.40.40-10 34-14 65-96 11.99 0. 14 32-9 11.12.44. 14-2 298. 53. 59-34 66-87 52-47 9.96 1.06 4.47 0.94 53 24-3 0.51 13 88. 14. 45-46 44-75 60-71 8.26 0.15 24-5 12. 13. 28. 58-3 311.11.31-09 39-04 52-05 8.51 0.99 5.29 1.24 49 24-6 0.31 Sub. 16 87.13.31-85 31-73 60-12 7. 15 0.24 21-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7. 0-2 2. 00 4. 00 0.76 30 20-8 1.42 30 60-01) 1 0. 2\ 1. 00 23-7 [272] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. _0 Greenwich W> . br . ? . Ecliptic 1 W ? Mean Solar Time Longitude . 0. - '" ~ ^ O *^ }r a* S & d P c c Is N. P. D. ltd O .S- - g o - ti .S * of of TJ S G *-> ii.{ "el's S g J1 o v 2 _o 2 of If fc "3 H C 'r; B * * &s a . Observation Moon's Center s'i o 5 t r^C C V gJ * cr* * si In 1 B B II Moon's Center 8 -fj g i's IS| && 'I - of from ""3.5 U< W Q *4- ^ w _c -f. (2 -S > i < **[" H l< from ^ S ft CfJ J= g >^ " 1 i< Moon's Limb. Observation. S.s S.s u.S Observation. F -A 5.5 ~a 1824. a *h m s O f ft " " * ' - \ \ > e * u o / // II " K ' I VV > July 13.14.11.28-1 323. 23. 49-6S 56-98 52-70 6.98 0.97 6.02 1.44 40 24-9 0. lo 20 86. 20. 22-04 24-41 57-03 6.20 0.30 18-7 15. 15. 32. 40-5 347. 45. 59-2C 55-05 64-21 4.01 1.07 7. 19 1.45 21 25-6 0.00 29 85. 6.11-01 14-43 50-58 4.87 0.68 13-7 16.10.13. 11-8 0. 3.36-41 30-05 00-30 2.69 1. 18 7.53 1.27 13 25-9 0.01 33 84. 48. 20-49 14-24 00-25 4.56 0.87 11-5 Aug. 5. 9. 0. 51-5 209.51. 8-08 0-31 62-37 12. 99 1.45 1.09 0.01 20 32-3 2.29 13 90.51. 10-77 3-23 07-54 10.99 0.11 39-8 7. 10.39. 15-1 294. 47. 38-62 35-43 03-19 10.81 1.13 2.38 0.18 45 32-8 1.78 09 88. 36. 15-35 7-7! 07-50 8.51 0.14 38-0 9.12. 7.54-1 319.17. 9-98 6-80 63-18 7.93 0.98 4.00 0.76 54 33-3 1.21 08 86. 39. 30-74 32-41 58-33 6.39 0.33 34-3 9.12. 9.57-9 319. 18. 9-55 7-91 61-04 7.93 0.98 4.00 0.76 54 33-3 1.21 08 SO. 39. 25-74 28-00 57-74 6.39 0.33 34-3 11. 13.31.52-4 343. 40. 40-21 39-74 60-47 4.89 1.02 5.62 1.34 45 34-1 0.68 11 85.20. 0-38 8-11 58-27 4.97 0.64 29-5 12. 14. 12.12-1 355. 55. 25 27 23-80 61-47 3.49 1. 10 6.31 1.49 30 34-3 0.45 14 84.58.49-21 46-79 02-42 4.61 0.82 2(5-5 13.14.53.17-2 8. 16. 13-92 11-95 61-97 2.25 1.24 6.91 1.50 20 34-6 0.27 17 84. 51. 12-80 12-77 00-09 4.50 1.02 23-7 15.10.21.27-3 33. 30. 4-30 7-32 56-98 0.49 1.62 7.65 1.15 10 35-0 0.03 25 85. 19.62-95 58-40 64-49 5.09 1.40 18-0 18. 18. 59. 14-8 73. 45. 19-03 22-02 57-01 0.44 2.38 7.47 0.26 14 35-7 0.11 39 87. 50. 49-38 51-67 57-71 7.96 1.83 10-4 31. 6. 3. 39-0 252. 47. 44-25 52-26 51-99 3.91 1.81 0.24 0.84 08 38-5 2.79 36 92. 8.57-46 51-19 66-27 12.49 0.17 31-6 Sep. 1. 6.56.46-2 205. 45. 47-95 46-69 61-26 3.45 1.58 0.26 0.52 08 38-7 2.83 31 91. 3. 8-38 5-58 62-80 11.25 0.11 34-1 2. 7.47.57-5 278.24.60-10 56-10 64-00 2.65 1.37 0.46 0.25 13 38-8 2.82 27 89. 55. 57-31 49-19 08-12 9.99 0.10 36-3 4. 9.22.47-4 303. 6. 65-90 53-24 72-72 0.31 1.08 1.37 0.00 31 39-3 2.62 18 87. 48. 35-85 32-09 63-70 7.60 0.20 39-1 5. 10. 6. 33-8 315. 18. 50-98 40-13 76-85 8.87 1.01 2.03 0.08 41 39-4 2.44 15 86. 53. 20-78 36-65 50-13 6.58 0.31 39-8 6.10.48.31-6 327.29.31-19 16-40 74-79 7.36 0.97 2.77 0.29 49 39-6 2.23 12 SO. 7.24-07 27-55 56-5-2 5.73 0.44 40-0 8.12. 9.52-7 351.57.53-14 35-65 77-49 4.35 1.04 4.42 0.91 53 39-8 1.71 08 85. 8.41-12 45-64 55-48 4.66 0.79 38-9 8.12.11.54-2 351. 58. 52-27 36-11 76-16 4.35 1.04 4.42 0.91 53 39-8 1.71 08 85. 8.38-97 44-32 54-65 4.60 0.79 38-9 12. 15. 7. 5-3 42. 19. 22-90 24-77 58-13 0.30 1.70 7.12 1.46 21 40-4 0.62 12 85. 55. 55-72 51-12 64-60 5.03 1.54 31-1 13.15.57.41-2 55.24.48-31 50-98 57-33 0.04 1.95 7.53 1.28 13 40-5 0.40 15 86. 42. 35-06 32-20 62-80 6.52 1.69 28-0 15. 17.47.52-9 82. 32. 22-13 26-85 55-28 0.68 2.48 7.76 0.69 07 40-7 0.09 22 88.49. 8-25 7-63 00-02 8.94 1.88 21-7 29. 5.41.53-6 273. 49. 32-30 31-53 60-83 3.18 1.50 0.30 1.00 09 41-6 2.38 47 90. 5. 15-59 12-44 63-15 10.30 0.10 21-2 Oct. 1. 7.19.24-5 298. 52. 53-3S 52-38 61-00 1.12 1.16 0.33 0.39 10 41-6 2.72 39 87.56.28-02 18-29 69-73 7.86 0.18 27-0 2. 8. 4. 1-4 311. 7.27-21 23-51 63-70 9.78 1.05 0.60 0.15 16 41-6 2.80 35 87. 0.42-72 37-53 65-19 6.80 0.28 29-9 3. 8.46.32-4 323. 17. 55-59 51-69 63-90 8.30 0.99 1.05 0.02 25 41-6 2.83 30 86.13.36-10 33-90 62-20 5.91 ). 41 32-4 8.12.17.53-3 25.23.21-08 11-75 69-93 1.45 1.36 4.76 1.06 52 41-5 2.17 11 85.21. 4-66 4-91 59-75 4.88 1.32 39-9 10.13.54.47-7 51.23.00-19 54-42 65-77 0.15 1.80 6.27 1.49 37 41-4 1.64 08 86. 33. 37-76 33-73 64-03 6.33 1. 66 39-4 11. 14. 47. 46-5 64. 43. 30-30 26-09 64-27 0.04 2.05 6.87 1.51 26 41-4 1.35 08 87. 35. 58-28 52-60 65-68 7.41 1.78 38-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. ll Sub. g \ Sub. Sub. 60-00] 7.02 2.00 4.00 0.70 30 208 1.42 30 60-00 0.21 1 % . 00 2:i-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [273] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. If. MJ Change for 0- 1 in Argument. Parallactic Inequality. Variation. Change for Os-1 in Argument. Annual Equation. Evection. Change for Os-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. jo.se O j .5- ii 3 > Z ii Effect of Mean Inclination. Change for Os-1 1 in Argument. So .2- 1824. d h m ' O t It " e " \ \\ \ \v g * i g * O ' /' " g " , Oct. 12. 15. 43. 5-7 78. 16 61-15 59-09 62-06 0.31 2.32 7.34 1.39 17 41-2 1.07 09 88. 42. 27-41 25-87 61-54 8.66 1.87 30-4 13. 16. 39. 36-1 92. 5.45-05 44-15 60-90 0.98 2.58 7.64 1. 16 10 41-2 0.80 10 89. 54. 52-68 52-33 60-35 10.03 1.90 34-1 14. 17. 35. 59-0 106.11. 0-48 1-91 58-57 2.03 2.81 7.77 0.86 07 41-1 0.56 12 91. 9. 10-22 8-23 61-99 11.44 1.88 31-3 15. 18. 31. 14-0 120.34. 4-87 4-98 59-89 3.40 3. 00 7.72 0.54 09 41-0 0.35 16 92. 20. 32-43 35-92 56-51 12.79 1.80 28-0 29. 5.59. 4-9 306. 23. 35-78 33-76 62-02 10.63 1. 11 0.25 0.86 08 39-4 1.96 51 87. 6.27-07 16-85 70-82 7.07 0.25 13-9 Nov. 2. 8.45.40-3 355.21.35-27 42-01 53-26 4.70 1.03 1.33 0.00 30 38-7 2.74 38 84. 55. 33-36 30-45 62-91 4.55 0.88 24-7 3. 9.27.24-3 7. 50. 26-93 28-63 58-30 3.31 1.12 1.98 0.07 40 38-6 2.82 33 84. 55. 27-99 27-60 60-39 4.52 l.OS 27-8 5. 10. 57. 22-8 33. 29. 28-41 22-02 66-39 1.11 1.43 3.52 0.56 53 38-0 2.79 24 85.40. 8-45 9-47 58-98 5.30 1.46 33-1 7. 12. 42. 10-4 60.11.41-79 41-60 60-19 0.06 1.89 5. 17 1.20 49 37-6 2.54 16 87.21.41-93 43-37 58-50 7.14 1.76 37-5 11. 16. 27. 18-3 116.13. 19-40 21-09 58-31 2.52 2.89 7.51 1.29 13 36-8 1.56 08 92. 12. 53-06 53-02 60-04 12.53 1.82 39-4 14. 19. 2. 27-4 159. 56. 28-85 29-44 59-41 7.42 3.18 7.63 0.41 11 36-0 0.73 11 94. 50. 16-16 18-62 57-54 15.51 1.34 33-5 15. 19.52.19-3 174.45. 9-83 11-55 58-28 9.15 3.12 7.31 0. 18 17 35-7 0.50 13 95. 9. 8-34 2-16 66-18 15.88 1.12 30-4 Dec. 1. S. 3.59-8 15. 3.34-58 34-01 60-57 2.83 1.17 1.01 0.02 25 31-3 2.27 48 84. 55. 22-91 19-83 63-08 4.66 1.21 14-3 3. 9.37. 5-0 40.56. 9-76 10-23 59-53 0.81 1.51 2.28 0.14 44 30-7 2.65 41 86. 0.28-16 23-18 64-98 5.81 1.57 19-9 5.11.24.28-2 68.12. 7-95 9-14 58-81 0.03 1.99 3.88 0.71 54 30-1 2.83 32 88. 0.56-07 59-55 56-52 7.98 1.83 26-3 7. 13. 23. 29-6 96.45.45-51 52-59 52-92 0.79 2.52 5.51 1.32 46 29-2 2.77 23 90. 35. 44-7 1 47-18 57-53 10.79 1.90 32-9 8.14.21. 7-3 111.21.13-69 22-44 51-25 1.75 2.76 6.22 1.48 37 28-9 2.65 19 91. 53. 58-44 61-04 57-40 12.21 1.84 35-4 10.16. 9.22-0 140. 48. 38-30 36-95 61-35 4.61 3.10 7.34 1.40 17 28-3 2.28 12 94. 4.41-68 41-47 60-21 14.60 1.58 39-1 11.17. 0. 6-4 155. 33. 15-30 13-01 62-29 6.33 3.17 7.64 1.17 11 28-0 2.03 10 94. 47. 52-06 50-85 61-21 15.39 1.38 39-9 26. 4.35.56-1 345. 8.10-01 3-27 66-74 6.58 0.97 0.42 1.17 12 22-8 0.46 47 84. 53. 54-75 48-65 66-10 4.69 0.77 9-0 29. 6. 40. 30-0 22. 5. 13-43 13-45 59-98 2.38 1.22 0.42 0.29 12 21-5 1.24 52 85. 5.38-05 28-39 69-66 4.92 1.34 7-5 30. 7.26.18-5 34. 49. 38-27 38-25 60-02 1.33 1.39 0.78 0.08 19 21-1 1.53 53 85. 38. 33-40 36-29 57-11 5.53 1.51 8-1 31. 8.15.42-6 47. 55. 30-72 27-86 62-80 0.56 1.59 1.29 0.00 29 20-8 1.82 52 86.26. 9-41 3-28 66-13 6.39 1.67 9-2 1825. Jan. 2.10. 5.53-7 75. 24. 59-79 57-61 62-18 0.05 2.09 2.66 0.25 48 20-1 2.33 47 88.38.22-19 19-47 62-72 8.81 1.87 13-3 4. 12. 4. 34-8 104.37.39-21 40-82 58-39 1.11 2.61 4.30 0.87 54 19-5 2.69 40 91. 18. 21-66 16-06 65-60 11.71 1.87 19-4 4.12. 7. 0-1 104.39. 4-51 7-98 56-53 1. 11 2.61 4.30 0.87 54 19-5 2.69 40 91. 18. 29-63 23-70 65-93 11.71 1.87 19-4 5.13. 5.11-6 119.43.45-16 48-32 56-84 2.20 2.84 5.11 1.18 50 18-8 2.79 35 92. 35. 23-24 26-18 57-06 13.10 1.78 23-2 7. 14. 54. 22-6 150.13. 3-46 2-95 60-51 5.25 3.14 6.54 1.51 32 18-1 2.81 26 94. 33. 18-62 15-99 62-63 15.21 1.44 30-4 8. 15. 45. 50-2 165. 22. 33-91 31-46 62-45 7.00 3.18 7.09 1.47 22 17-8 2.74 22 95. 4.51-17 52-98 58-19 15.76 1.21 33-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 60"-00 7^.02 2. 00 4.00 6.76 \\ 30 20-8 1 . 42 \\ 30 60-00 10.21 i. oo 23-7 GREENWICH LUNAR REDUCTIONS. 2[N] [274] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. fc. a ll-l aj E-i c "33 Excess of Observed Longitude. Elliptic Inequality. Change for Os- 1 1 in Argument. dJi Variation. Change for OS- J in Argument. Annual Equation. Evection. Change for fls-l 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of TabularEcliptic N.P.D. 1 ,3 ' l^ w 1 Effect of Mean Inclination. Change for fle-1 in Argument. - . I 6 - i'-i 1825. 4 i Jan. 11. 18. 18. 14'7 / " 209.29. 6-53 1-36 65-17 s v 11.79 a > 0.72 \\ 07 \ 16-8 g * 2.21 \\ 12 1 n 94.35. 9-66 4-98 a 64-68 e ' 15.15 0.55 39-5 2.84 7.77 24. 3.53.34-1 4. 45. 57-52 48-70 68-82 4.51 1.04 0.60 1.29 15 12-4 0.05 36 84. 49. 53-84 59-67 54-17 4.53 1.10 [16-8 25. 4. 35. 15-1 17. 0.64-08 58-52 65-56 3. 15 1.13 0.33 1.05 09 12-1 0.15 40 85. 2.51-79 51-68 60-11 4.79 1.29 14-1 28. 6.55.41-1 65. 3.15-47 13-23 62-24 0.35 1.68 0.55 0.18 15 11-2 0.75 50 87. 3. 8-78 8-54 60-24 7.08 1.75 8-7 29. 7.49.26-5 68. 27. 62-76 57-68 65-08 0.04 1.92 0.97 0.03 24 10-6 1.02 52 88. 7.26-73 27-90 58-83 8.27 1.85 7-8 Feb. 1.10.44. 5-3 111.43.20-78 30-30 50-48 1.48 2.70 3.00 0.38 51 9-7 1.89 51 91. 56. 35-34 36-81 58-53 12.52 1.82 8-0 2. 11.41.58-2 127. 3.37-57 55-54 42-03 2.70 2.91 3.88 0.70 54 9-5 2.16 49 93. 8. 15-77 10-39 65-38 13.82 1.70 11-0 3.12.40.21-9 142. 42. 24-50 28-59 55-91 4.21 3.07 4.71 1.03 52 9-2 2.39 46 94. 6. 61-61 59-37 62-24 14.89 1.52 13-7 4. 13. 34. 33-4 158.25.44-51 43-16 61-35 5.89 3.16 5.51 1.30 46 8-9 2.58 43 94. 47. 27-63 25-25 62-38 15.61 1.30 17-0 May 28. 9. 2. 10-0 205.25.13-94 28-41 45-53 10.20 3.04 1.50 0.01 33 9-3 0.08 23 94. 20. 50-32 43-01 67-31 14. 99 0.50 30-6 30.10.56.11-6 235.25. 4-22 7-31 56-91 12.80 2.64 2.94 0.35 50 9-9 0.00 32 92. 16. 48-56 41-19 67-37 12.76 0.19 23-7 31.11.65.31-9 250. 8.25-23 27-84 57-39 13.58 2.39 3.76 0.66 54 10-1 0.05 36 90.59.40-16 36-70 63-46 11.37 0.12 19-9 31.11.57.57-4 250. 9.54-36 52-80 61-56 13.58 2.39 3.76 0.66 54 10-1 0.05 36 90. 59. 31-72 28-96 62-70 11.37 0. 12 19-9 June 2. 13. 53. 9-4 278. 35. 14-80 12-45 62-35 13.96 1.86 5.40 1.28 47 11-0 0.33 44 88.24. 3-72 2-62 61-10 8.55 0.14 13-9 4. 15. 35. 17-3 305.23.51-84 47-55 64-29 12.85 1.41 6.75 1.51 28 11-5 0.78 50 86.18. 4-48 4-96 59-52 6. 25 0.35 9-6 6.17. 4.12-8 330. 48. 55-92 49-75 66-17 10.60 1.11 7.60 1.22 12 12-1 1.34 53 85. 2.27-12 31-49 55-63 4.86 0.68 7-6 25. 7.50. 5-6 215. 4. 6-15 22-83 43-32 10.78 2.98 0.69 0.11 18 18-6 0.77 10 93. 47. 36-05 29-96 66-09 14.29 0.37 39-2 27. 9.43.22-7 244. 7.57-04 68-59 48-45 13.14 2.55 1.78 0.04 38 19-2 0.32 16 91.31.64-88 58-53 66-35 11.81 0. 13 35-8 28.10.41.25-0 258.24. 5-93 16-52 49-41 13.77 2.29 2.55 0.21 47 19-5 0. 16 20 90. 14. 33-36 28-10 65-26 10.40 0.10 33-1 29. 11.38.21-3 29.11.40.42-1 272. 25. 22-28 272. 26. 43-97 32-31 50-89 49-97 53-08 14.01 14.01 2.02 2.02 3.35 3.35 0.49 0.49 52 52 19-8 19-8 0.06 0.06 24 24 88. 57. 35-76 88.57.28-76 28-53 21-44 67-23 67-32 9.01 9.00 0.12 0.12 30-2 30-2 July 2.14.13.38-3 312.41. 5-79 7-69 58-10 12.50 1.34 5.77 1.38 44 20-8 0.08 37 85. 52. 52-85 44-75 68-10 5.66 0.46 20-7 3. 14. 58. 17-9 325. 29. 23-58 21-61 61-97 11.39 1.18 6.45 1.51 34 21-4 0.20 42 85. 15. 54-76 54-07 60-69 5.01 0.63 17-7 24. 7. 37. 15-6 239. 27. 45-69 54-19 51-50 12.55 2.70 0.51 0.21 14 28-3 1.52 08 91.51.16-16 12-00 64-16 12.12 0. 15 39-4 26. 9. 30. 19-9 267.21.46-30 57-59 48-71 13.91 2.19 1.46 0.00 32 29-2 0.96 09 89.22.27-02 24-83 62-19 9.36 0.11 39-9 27. 10. 24. 46-4 280. 57. 56-51 67-47 49-04 14.00 1.93 2.13 0. 11 42 29-5 0.69 11 88.11. 12-03 8-16 63-87 8.05 0.17 39-1 28. 11. 16. 28-3 294. 19. 47-73 58-12 49-61 13.70 1.68 2.88 0.34 50 29-8 0.46 14 87. 7.23-00 17-86 65-14 6.88 0. 27 37-9 29.12. 5. 5-5 29.12. 7.15-5 307. 27. 14-91 307. 28. 26-07 26-27 34-31 48-64! 13. 06 51-76 13. 05 1.46 1.46 3.70 3.70 0.64 0.64 54 54 30-1 30-1 0.27 0.27 17 17 86. 13. 57-90 86.13.54-18 57-42 53-25 60-48 60-93 5.91 5.90 0.41 0.41 36-1 36-1 30. 12. 52. 57-4 320.21.49-72 56-07 53-65 12. 11 1.28 4.53 0.97 53 30-3 0.13 21 85.33.21-82 14-66 67-16 5.17 ). 58 33-9 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. Sub. Sub. 20-8 Sub. 1.4-2 Sub. 30 Sub. 00-00 Sub. 10. 21 Sub. 1.00 Sub. 23-7 2.00 4.00 0.70 30 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [275] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. uj 1 'Q. eg a g Change for 0?-1 in Argument. Parallactic Inequality. Variation. Change for Os-1 in Argument. Annual Equation. Evection. Change for 0"'l 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P. D. il M '% Effect of Mean Inclination. Change for Os-1 in Argument. Evection in E.N.P.D. 1825. d " m ' O / " '' tt e v \ V \ vv - ' g * " o > a tt it g * \ \\ July 31.13.36.21-4 333. 2. 1-04 7-46 53-58 10.92 1.14 5.34 1.26 48 30'6 0.04 25 85. 6.36-56 34-10 62-46 4.70 0.76 31-3 Aug. 1. 14. 18. 13-7 345. 30. 42-49 46-01 56-48 9.56 1.04 6.07 1.45 39 30-9 0.00 29 84. 54. 25-74 22-96 62-78 4.50 0. 95 28-5 2. 14. 59. 24-5 357. 50. 18-17 18-95 59-22 8.07 0.98 6.71 1.52 29 31-2 0.02 34 84. 56. 41-12 36-81 64-31 4.57 1.15 25-8 4.16.23. 6-2 22.16.22-33 22-90 59-43 5.02 1.01 7.58 1.24 12 32-0 0.24 42 85.41.53-81 53-87 59-94 5.47 1.50 19-9 5.17. 7.14-4 34.32. 2-64 4-08 58-56 3.61 1.09 7.75 0.96 08 32-3 0.42 46 86.23. 5-35 2-75 62-60 6.26 1.65 17-2 6. 17. 53. 47-9 46. 56. 40-55 42-35 58-20 2.34 1. 22 7.75 0.64 08 32-5 0.65 49 87. 14. 55-08 51-89 63-19 7.24 1.77 14-8 7. 18. 43. 9-7 59.36. 4-48 6-02 58-46 1.30 1.39 7.58 0.35 12 32-8 0.91 51 88.15.43-97 42-82 61-15 8.39 1 1. 85 12-4 23. 8.20.27-1 276. 42. 10-85 11-46 59-39 13.99 2.09 0.69 0.12 18 36-8 1.99 10 88. 24. 47-52 46-07 61-45 8.31 0.15 36-1 24. 9.12.19-6 289.58. 6-64 7-37 59-27 13.93 1.83 1. 17 0.01 27 37-0 1.72 09 87. 21. 15-29 16-40 58-89 7. 12 0. 24 38-0 25. 10. 1. 17-1 303. 0. 1-65 6-49 55-16 13.49 1.59 1.78 0.04 37 37-2 1.44 08 86. 27. 23-83 24-47 59-36 6.11 0.38 39-2 26. 10. 47. 28-4 315. 49. 50-67 57-03 53-64 12.73 1.39 2.49 0.20 46 37-6 1.16 08 85. 45. 18-92 21-19 57-73 5.33 0.53 39-9 30. 13. 38. 18-8 5. 37. 47-04 53-98 53-06 7.49 0.97 5.72 1.36 44 38-3 0.23 18 85. 14. 53-71 52-96 60-75 4.80 1.29 37-2 31.14.20.14-1 17.49.49-19 53-47 55-72 5.96 0.98 6.40 1.50 35 38-5 0.10 22 85.41.22-31 21-24 61-07 5.31 1.46 35-4 Sep. 19. 6.16.23-4 272.31.56-03 54-28 61-75 13.83 2.25 0.24 0.80 07 41-1 2.81 26 88. 31. 22-76 21-64 61-12 8.57 0.14 21-2 20. 7. 9. 18-9 285. 56. 34-44 28-73 65-71 14.01 1.99 0.27 0.49 09 41-1 2.72 21 87. 26. 32-27 33-02 59-25 7.34 0.22 24-5 21. 7.59. 2-5 299. 1. 19-33 12-77 66-56 13.80 1.74 0.48 0.22 14 41-2 2.59 17 86. 31.34-56 33-07 61-49 6.29 0.35 27-5 22. 8.45.44-6 311.50. 9-37 5-37 64-00 13.24 1.51 0.87 0.05 22 41-3 2.40 14 85. 48. 22-29 20-49 61-80 5.47 0.50 30-4 26.11.35. 1-5 1. 30. 50-35 46-60 63-75 8.44 0.99 3.64 0.62 54 41-5 1.37 08 85.11.54-27 54-38 59-89 4.72 1.25 38-6 27. 12. 18. 45-5 13. 44. 55-02 49-67 65-35 6.91 0.97 4.47 0.95 53 41-5 1.09 09 85.37. 1-39 4-70 56-69 5.17 1.43 39-5 28.13. 1.36-6 25. 56. 52-50 50-01 62-49 5.39 1.00 5.29 1.24 48 41-5 0.82 10 86. 14. 19-60 19-13 60-47 5.86 1.58 39-9 29. 13. 46. 7-9 38.10. 1-49 1-89 59-60 3.94 1.07 6.02 1.44 40 41-6 0.58 12 87. 2. 7-31 7-44 59-87 6.75 1.72 39-9 Oct. 2. 16. H.44'9 75.28. 3-76 10-33 53-43 0.69 1.55 7.56 1.26 12 41-6 0.08 23 90. 8.28-34 29-78 58-56 10.24 1.90 36-7 3.17. 3.34-7 88.20.41-21 42-32 58-89 0.18 1.78 7.74 0.98 08 41-6 0.01 27 91.16.31-71 31-76 59-95 11.53 1.88 34-7 21. 8.11.15-7 332. 54. 55-06 60-04 55-02 11.96 1.26 0.66 0. 13 17 40-5 2.79 25 84.56. 8-19 8-94 59-25 4.61 0.83 19-9 22. 8.52.51-3 345. 15. 35-95 38-06 57-89 10.75 1. 12 1.13 0.01 26 40-4 2.69 20 84.51.49-01 50-13 58-88 ! 4.50 1.02 22-9 24. 10. 15. 23-0 9. 42. 52-42 45-66 66-76 7.86 0.97 2.44 0. IS 46 40-2 2.35 13 85. 25. 4-94 9-24 55-70 5.06 1.39 28-5 25.10.57.51-1 21.55.16-84 11-63 65-21 6.33 0.98 3.23 0.45 52 40-0 2.12 11 86. 1. 8-28 11-45 56-83 ' 5.70 1.55 31-1 26.11.41.57-3 34.10. 7-35 0-09 67-26 4.82 1.02 4. 06 0.77 54 39-9 1.86 09 86.48.26-06 24-61 61-45 6.55 1.69 33-7 26.11.44. 3-9 34. 11. 7-27 2-91 64-36 4.82 1.02 4.06 0.77 54 39'9 1.86 09 86.48.29-77 29-02 60-75 6.551.69 33-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. [i Sub. Sub. Sub. 60-00 1. 02 \ \\ 2.00 4.00 0*. 76 30 20-8 1.42 30 60-00 1 , v 10. 21 1. 00 23-7 2 [N] 2 [276] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. Elliptic Inequality. Change for fls- 1 1 in Argument. Parallactic Inequality. Variation. Change for OS- 1 1 in Argument. Annual Equation. Evection. Change for Os- 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. ! Is*. r Ijj 2f wo; llz 5s Effect of Mean Inclination. Change for OS- 1 in Argument. i %** o *r o < HPJ 1825. * * * ' Oct. 29.14. 8.27-3 O ' " 71. 29. 32-61 it 32-64 a 59-97 s * 1.17 \ \\ 1.42 \ \\ 6.36 s * 1.49 36 \ 39-4 s " 1.02 09 o / " 89.56.32-10 a 29-69 ff 62-41 e ' 9.99 \ \\ 1.90 38-9 30. 14. 59. 42-1 84. 14. 16-00 13-17 62-83 0.45 1.63 6.95 1.50 25 39-2 0.75 11 91. 5.42-81 40-72 62-09 11.26 1.89 39-7 Nov. 3.18.24.17'S 138. 3. 9-83 5-45 64-38 1.26 2.65 7.70 0.51 09 38-6 0.05 24 94. 46. 10-33 12-78 57-55 15.38 1.38 37-2 15. 4.36. 7-2 302. 26. 32-62 44-69 47-93 13.89 1.80 0.72 1.35 18 36-0 2.01 51 85. 55. 57-27 51-22 66-05 5.86 0.42 7-5 19. 7.31.50-8 353. 13. 31-03 41-82 49-21 10.23 1.08 0.46 0.24 13 35-0 2.76 37 84. 49. 54-07 55-40 58-67 4.59 1.16 11-0 21. 8.55. 6-7 17. 37. 37-60 42-07 55-53 7.29 0.97 1.37 0.00 31 34-3 2.83 28 85.43. 2-62 5-18 57-44 5.53 1.52 15-2 22. 9.38.37-2 29. 51. 16-92 16-23 60-69 5.75 0.99 2.03 0.08 41 34-0 2^77 24 86. 27. 57-37 60-26 57-11 6.33 1.66 17-7 24.11.11.59-6 54. 38. 25-44 22-36 63-08 2.92 1. 16 3.58 0.59 53 33-5 2.50 16 88. 26. 18-31 17-64 60-67 8.47 1.86 23-5 25.12. 4.10-9 67. 17. 28-36 31-91 56-45 1.77 1.31 4.42 0.93 53 33-2 2.30 13 89.35. 4-90 3-67 61-23 9.71 1.90 26-5 26. 12. 55. 43-9 80. 7. 3-83 7-03 56-80 0.86 1.50 5.23 1.23 49 33-0 2.06 10 90.46. 6-57 3-53 63-04 11.00 1.89 29-5 Dec. 14. 4. 1. 6-9 322.51.53-52 59-19 54-33 13.14 1.48 0.94 1.42 22 27-0 1.23 52 85. 0. 14-96 6-47 68-49 4.79 0.72 11-7 15. 4.45.16-3 335. 44. 54-46 62-12 52-34 12.23 1.30 0.53 1.25 14 26-7 1.52 53 84.44.51-73 50-58 61-15 4.52 0.91 9-8 16. 5.27.38-5 348. 19. 19-84 27-64 52-20 11.06 1.15 0.29 0.99 09 26-4 1.80 52 84. 45. 14-37 11-41 62-96 4.54 1.11 8-5 17. 6. 9.13-4 0. 40. 22-58 32-59 49-99 9.71 1.05 0.23 0.68 07 26-1 2.07 50 85. 0. 13-21 10-71 62-50 4.82 1.30 7-7 18. 6.50.58-2 12. 53. 39-32 55-22 44-10 8.24 0.99 0.34 0.38 10 25-8 2.32 47 85. 28. 35-61 38-19 57-42 5.35 1.47 7-4 19. 7.33.46-4 25. 5. 6-16 14-32 51-84 6.70 97 0.63 0.14 16 25-4 2.52 44 86. 9. 15-48 15-45 60-03 6. 10 1.62 7-7 20. 8.18.20-0 37. 19. 44-61 54-88 49-73 5. 18 1.01 1.09 0.01 25 25-1 2.68 40 87. 0.31-38 32-67 58-71 7.04 1.75 8-4 22. 9.54.25-7 62. 17. 50-80 57-34 53-46 2.46 1.21 2.38 0.17 45 24-1 2.83 31 89. 7.32-09 31-56 60-53 9.35 1.89 11-3 23. 10. 45. 48-7 75. 8. 6-24 13-21 53-03 1.39 1.37 3.17 0.43 51 23-8 2.82 27 90.18. 9-74 11-75 57-99 10.64 1.90 13-5 24.11.38.34-8 88. 15. 2-55 9-18 53-37 0.60 1.58 4.00 0.75 54 23-5 2.75 22 91.29.17-11 18-09 59-02 11.93 1.86 16-1 25. 12. 33. 59-9 101.40. 2-60 12-72 49-88 0.13 1.81 4.82 1.07 52 23-1 2.63 18 92.37. 2-18 1-08 61-10 13. 16 1.77 19-2 26. 13. 26. 33-0 115.19.56-13 65-09 51-04 0.04 2.07 5.62 1.34 45 22-8 2.45 15 93.36.56-10 56-24 59-86 14.24 1.64 22-2 27. 14. 17. 56-7 1826. 129. 14. 19-51 23-97 55-54 0.34 2.33 6.31 1.49 36 22-5 2.23 12 94.25. 4-14 7-01 57-13 15.10 1.47 25-8 Jan. 2.19.22.13-2 216. 1.22-75 21-81 60-94 8.60 3.15 7.47 0.27 14 20-1 0.62 12 93. 2.28-03 22-03 66-00 13.44 0.26 39-8 12. 3. 21. 19-9 342. 47. 33-41 30-81 62-60 11.81 1.24 1.25 1.46 28 16-8 0.50 47 84. 50. 23-89 20-77 63-12 4.50 1.05 21-2 14. 4.45.49-4 7. 47. 10-20 13-94 56-26 9. 17 1.02 0.40 1.14 11 15-8 1.01 52 85. 23. 30-01 28-34 61-67 5.17 1.42 15-6 15. 5.28.15-4 20. 1.22-82 28-61 54-21 7.66 0.98 0.25 0.85 08 15-5 1.30 53 85. 59. 28-92 26-58 62-34 5.86 1.58 13-3 16. 6.11.54-2 32. 12. 42-98 45-30 57-68 6. 13 0.98 0.26 0.54 08 15-2 1.59 52 86. 46. 14-27 11-93 62-34 6.74 1.71 11-2 17. 6.57.23-5 44. 26. 58-71 62-14 56-57 4.63 1.03 0.44 0.26 13 14-9 1.87 51 87.41.58-06 58-94 59-12 7.78 1.82 9-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60"-00 7.02 \ \\ 2.00 4. 00 a \ 0. 76 \\ 30 20-8 s \ 1.42 \\ 30 60-00 10.21 \ \\ 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [277] Qreenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .." 'a. 13 JET & a j Change for Of 1 in Argument. Parallnctic Inequality. Variation. Change for OS- 1 in Argument. 11 11 < S Evection. Change forOS'l I in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. Excess of Ob- served Ecliptic N. 1'. D. Effect of Mean Inclination. Change for 0'-J in Argument. .5x c *"! 1* [2 bj 1826. i i, , Jan. 26.14.42.59-7 o / it 167. 16. 7-90 a 1-26 a 66-64 g - 2.60 // 49-56 n 62-02 * < 15.87 \ \\ 0.87 19-2 2.90 6.58 1.52 31 11-8 2.58 17 95. 2.51-58 28. 16. 25. 30-0 196. 54. 10-56 12-22 58-34 5.74 3.16 7.53 1.28 13 10-9 2.17 11 94. 4.30-05 21-61 68-44 14.73 0. 45 26-5 Feb. 13. 4.50.48-8 39.21.41-51 34-01 67-50 5.55 0.99 0.30 1.02 09 6-3 0.56 48 87. 32. 40-83 39-07 61-76 7.45 1/79 23-5 15. 6.25.24-2 63.55. 8-69 10-11 58-58 2.76 1.17 0.33 0.40 10 5-9 1.08 52 89. 36. 33-75 34-84 58-91 9.81 1.90 18-0 16. 7.15.38-7 76. 30. 32-76 37-29 55-47 1.63 1.33 0.60 0. 16 16 5-6 1.37 53 90. 43. 14-41 16-44 57-97 11.07 1.89 15-2 17. 8. 7.26-7 89. 26. 17-46 17-65 50-81 0.76 1.52 1.05 0.02 25 5-4 1.66 52 91.49.22-28 25-12 57-16 12.32 1.84 12-8 17. 8. 7.26-7 89. 26. 17-44 17-65 59-79 0.76 1.52 1.05 0.02 25 5-4 1.66 52 91.49.25-32 25-12 60-20 12.32 1.84 12-8 18. 9. 0. 10-1 102.46.51-63 50-98 60-65 0.21 1.75 1.63 0.0-2 35 5-2 1.94 51 92. 51. 32'96 35-81 57-15 13.49 1.74 10-5 22. 12. 32. 36-1 160. 38. 51-66 50-51 61-15 1.81 2.77 4.76 1.06 52 4-2 2.74 38 94. 59. 54-76 49-42 65-34 15.92 0.95 7-8 23. 13. 24. 58-8 175. 54. 42-84 34-85 67-99 3.12 2.97 5.56 1.33 46 4-0 2.82 34 94. 44. 56-32 54-43 61-89 15.64 0.72 9-1 25. 15. 12. 47-7 206. 29. 35-62 27-04 68-58 6.42 3.17 6.87 1.51 26 3-6 2.79 24 93. 16. 23-75 23-26 60-49 13.97 0.32 13-7 Mar. 15. 5. 7. 30-9 71.22.40-36 29-56 70-80 2.30 1.23 0.25 0.87 08 0-9 0.22 42 90. 32. 34-11 35-76 58-35 10.70 1.90 31-3 17. 6.48.33-3 96. 45. 26-00 16-23 69-77 0.52 1.61 0.42 0.28 12 0-6 0.62 49 92. 39. 33-85 35-92 57-93 13.11 1.78 25-8 18. 7.40. 0-5 110. 0.39-77 29-87 69-90 0.10 1.84 0.78 0.08 20 0-5 0. 87 51 93. 34. 49-38 52-74 56-64 14.17 1.65 22-4 19. 8.31.35-1 123. 44. 43-91 33-69 70-22 0.06 2.10 1.29 0.00 30 0-5 1.15 52 94. 19. 50-19 52-34 57-85 15.04 1.48 19-2 20. 9.23. 10-1 137. 59. 57-93 58-33 59-60 0.41 2.37 1. 93 0.07 40 0-4 1.45 53 94. 50. 41-42 39-59 61-83 15.65 1.28 16-1 29. 17. 52. 52-3 274. 41. 56-49 49-30 67-19 12.96 2.60 7.73 1.02 08 o-o 2.77 23 87. 23. 63-54 58-34 65-20 7.45 0.21 14-6 31. 19. 38. 10-2 302. 8.60-66 57-79 62-87 13.99 2.08 7.63 0.40 10 o-o 2.48 15 85. 39. 36-64 33-77 62-87 5.44 0.51 20-7 April 15. 6.21.54-5 117.54. 9-65 6-71 62-94 0.04 1.94 0. 31 0.42 09 0-6 0.12 39 94. 14. 53-23 52-67 60-56 14.79 1.54 35-0 16. 7.11.45-7 131.30. 9-23 0-19 69-04 0.14 2.20 0.57 0.17 15 0-8 0.26 43 94.50. 1-22 3-11 58-11 15.47 1.35 32-7 17. 8. 1.43-2 145. 35. 42-29 34-15 68-14 0.65 2.47 1.01 0.02 24 0-9 0.45 46 95. 9.19-60 18-63 60-97 15.86 1.14 29-5 18. 8. 52. 18-7 160.12.26-19 21-94 64-25 1.53 2.71 1.59 0.01 34 1-0 0.68 49 95. 9.41-60 37-09 64-51 15.91 0.91 26'0 19. 9.44.15-4 175. 18. 59-87 57-58 62-29 2.76 2.92 2.28 0.14 44 1-1 0.95 52 94. 48. 59-72 52-80 66-92 15.57 0. 6S 22-4 20. 10. 38. 19-0 190. 50. 18-67 19-26 59-41 4.27 3.08 3.06 0.39 51 1-2 1.23 52 94. 6.51-80 43-53 68-27 14.83 0.47 18-7 23. 13. 38. 49-3 238. 18. 41-85 38-27 63-58 9.48 3.10 5.51 1.31 46 1-6 2.09 50 90. 24. 37-88 41-22 56-66 10.83 0. 10 9-7 24.14.41. 2-4 253. 47. 30-34 27-08 63-26 11.04 2.95 6.22 1.48 37 1-7 2.33 47 88. 59. 55-46 62-14 53-32 9.28 0. 11 8-1 28.18.22.58-1 311. 3.45-67 34-04 71-63 14.01 1.98 7.77 0.87 07 2-3 2.83 31 85. 7. 34-45 34-33 60-12 4.95 0.65 9-8 May 13. 5. 6. 19-6 126. 35. 48-20 46-63 61-57 0.03 2.04 0.26 0.89 08 5-2 0.09 22 94.45.28-09 28-71 59-38 15.32 1.40 40-0 14. 5.54.44-5 140. 7.47-81 53-51 54-30 0.29 2.30 0.25 0.58 08 5-4 0.02 27 95. 10. 4-61 4-40 60-21 15.78 1.20 39-8 Sub. Sub. Sub. Sub. Sub, Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 if > 7.02 \ u 2.00 \ \\ 4.00 e \ 0.76 \\ 30 20-8 g > 1.42 \\ 30 60-00 f \ 10.21 \ \\ 1.00 23-7 [278] EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. tt Change f or 0*- 11 in Argument. Parallactic Inequality. Variation. Change for Oe-1 in Argument. _ e * c |1 Evection. Change for 0'l 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. i-S ii O .5- .1 . "3 C ij OW.. ir S o e " t | ! s i Change for O?-] in Argument. c 'i 'P 'ii 1826. * May 15. 6.43.16-6 o t it 154. 4.34-42 it 37-47 a 56-95 e * 0.93 2.56 \ v\ 0.40 g v 0.29 \\ 12 \ 5-6 e v 0.00 31 o f tr !)5. 17.28-05 It 27-90 60-15 * 15. 93 \ \v 0.99 38-9 17. 8. 23. 48-7 183. 18.42-97 41-77 61-20 3.30 2.99 1.25 0.00 29 6-3 0.15 40 94. 33. 21-27 15-99 65-28 15.16 0.55 35-0 18. 9.17.36-8 198.34. 5-29 1-78 63-51 4.89 3.12 1.88 0.06 39 6-6 0.30 44 93.41. 11-55 4-98 66-57 14.23 0.36 32-0 19. 10.14.41-6 214. 8.47-24 44-95 62-29 6.63 3.18 2.66 0.25 48 6-8 0.51 47 92.31.45-54 39-18 66-36 12. 98 0.21 28-5 20.11.15. 2-7 229. 54. 22-72 22-96 59-76 8.41 3.15 3.46 0.54 53 7-0 0.75 50 91. 9.63-00 58-07 64-93 11.52 0.12 24-7 21.12.20. 10-4 245. 41. 48-39 46-91 61-48 10.09 3.05 4.30 0.87 54 7-3 1.03 52 89. 42. 47-40 46-35 61-05 9.94 0.10 20-9 22.13.23. 9-6 261.16.25-31 22-53 62-78 11.56 2.88 5.11 1.18 50 7-5 1.32 53 88.18. 3-41 0-32 63-09 8.41 0.15 17-2 June 12. 5.27.58-6 163. 26. 25-92 37-54 48-38 1.28 2.65 0.22 0.75 07 13-9 0.34 16 95. 10. 11-03 14-74 56-29 15.82 0.82 38-3 14. 7. 7.37-8 192. 18. 29-43 35-71 53-72 3.88 3.05 0.55 0.18 15 14-5 0.06 23 94. 2.55-08 52-22 62-86 14.56 0.42 40-0 17. 9. 58. 18-5 237. 51. 16-20 21-56 54-64 9.06 3.12 2.23 0.13 43 15-7 0.07 37 90. 25. 49-29 43-40 65-89 10.58 0.10 36-6 18.11. 0.27-2 263. 19. 42-68 46-71 56-97 10.67 2.99 3.00 0.38 51 16-0 0. 19 41 89. 0.52-08 48-64 63-44 9.03 0.12 !33-9 19.12. 2.38-1 19. 12. 5. 5-1 268. 42. 49-73 268.44.21-16 49-95 19-59 59-78 61-57 12.03 12.04 2.80 2.80 3.82 3.82 0.70 0. 70 54 54 16-4 16-4 0.36 0.36 45 45 87. 40. 53-46 87. 40. 46-03 48-81 41-38 64-65 64-65 7.59 7.59 0.20 0.20 30-9 30-9 20. 13. 5. 7-2 283. 52. 31-54 27-03 64-51 13.08 2.57 4.71 1.03 52 16-7 0.58 48 86.31.60-79 56-70 64-09 6.35 0.34 27-3 22.14.54. 1-1 312.56. 13-88 4-07 69-81 14.01 2.04 6.22 1.4S 38 17-3 1.11 52 85. 4.15-50 10-44 65-06 4.79 0.72 20-2 23. 15. 42. 46-3 326.45.21-96 6-85 75-11 13.88 1.79 6.83 1.51 27 17-6 1.40 53 84. 47. 68-81 59-70 69-11 4.51 0.93 17-0 24. 16. 28. 37-2 340. 6. 16-37 14-21 62-16 13.39 1.56 7.31 1.41 18 18-2 1.69 52 84.49.37-15 30-32 66-83 4.56 1.14 14-3 25. 17. 12. 34-1 353. 2.46-07 43-38 62-69 12.58 1.36 7.63 1.19 11 18-6 1.97 51 85. 6.65-26 58-92 66-34 4.91 1.34 12-0 July 13. 6.49.38-9 216. 52. 47-00 54-91 52-09 6.21 3.17 0.40 0.30 11 24-6 0.49 13 92. 8.61-54 59-84 61-70 12.48 0.17 36-9 14. 7.46.38-7 231.45. 0-40 7-94 52-46 7.98 3.17 0.75 0.09 19 24-9 0.29 17 90. 52. 32-77 28-44 64-33 11.05 0.11 38-8 15. 8.46. 6-3 246. 44. 30-52 38-24 52-28 9.69 3.08 1.25 0.00 28 25-2 0. 14 20 89.31.56-25 50-70 65-49 9.55 0.10 39-8 17. 10. 46. 47-5 276. 45. 39-08 43-90 55-18 12.47 2.72 2.60 0.24 47 25-9 0.00 29 87. 2.16-49 12-68 63-81 6.78 0.28 39-4 21. 14. 20. 10-8 334. 2.61-17 58-03 63-14 13.74 1.70 5.82 1.40 43 27-4 0.41 46 84.55. 7-71 2-61 65-10 4.51 1.07 30-6 25. 17. 17. 13-5 25. 22. 57-09 51-11 65-98 9.67 1.04 7.71 1.06 09 28-9 1.47 53 87. 3.29-00 24-78 64-22 7.00 1.75 18-7 26.18. 1.49-6 37,37. 6-98 5-87 61-11 8.19 0.98 7.77 0.75 07 29-2 1.76 52 88. 0.36-46 34-15 62-31 8.08 1.84 16-1 27. 18. 47. 45-7 49. 48. 14-96 13-98 60-98 6.65 0.97 7.65 0.45 10 29-5 2.03 50 89. 2.56-74 56-13 60-61 9.26 1.89 13-7 28. 19. 35. 15-8 62. 2.20-28 15-30 64-98 5.13 1.01 7.37 0.21 16 29-8 2.28 48 90. 8. 5-05 5-61 59-44 10.48 1.90 11-7 29, 20. 24. 16-9 74. 24. 47-52 42-84 64-68 3.70 1.09 6.91 0.07 25 30-1 2.49 45 91. 13. 30-37 29-87 60-50 11.71 1.8- 9-8 Aug. 12. 7. 37. 50-2 256. 29. 26-21 32-94 53-27 10.30 3.03 0.53 0.19 15 34-1 0.91 09 88.29.51-31 48-46 62-85 8.45 0.14 32-7 Sub. 60-00 Sub. 7.02 Sub. 2. 00 Sub. 4. 00 Sub. 0.76 Sub. 30 Sub. 20 % -8 Sub. e \ 1.42 Sub 30 Sub. 60-00 Sub. 10.21 Sub. 1.00 Sub. 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [279] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. >, y t; ill = tr W g ChiingeforOs-1 1 in Argument. Parallactic Inequality. Variation. Change for 0-1 1 in Argument. Annual Equation. Erection. Change for 0?'l in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. Excess of Ob- served Ecliptic N. P. D. Effect of Mean Inclinalion. Change for l) :; -l in Argument. .s a - C ^ |z . '-^ j 1826. d h '" " i Aug. 14. 9. 33. 52-3 o / // 285. 37. 53-96 n 64-60 // 49-36 a 12.86 2.63 X U 1.55 8 > 0.01 II 40-35 II 60-63 * * 6.02 V U 0.39 \ 37;6 33 34-6 0.43 14 86. 20. 40-98 15. 10. 28. 34-9 299. 59. 24-96 36-95 48-01 13.61 2.37 2.23 0.13 43 34-8 0.24 18 85. 36. 19-73 19-79 59-94 5.18 0.57 39-0 17.12. 9.19-5 327.59. 2-02 8-47 53-55 13.95 1.85 3.82 0.68 54 35-3 0.02 26 84. 59. 32-07 29-34 62-73 4.50 1.00 39-9 17.12.11.29-1 328. 0. 12-47 20-10 52-37 13.95 1.85 3.82 0.68 54 35-3 0.02 26 84.59.31-13 29-31 61-82 4.50 1.00 39-9 18.12.58. 7-5 341. 32. 37-93 39-07 58-86 13.54 1.61 4.65 1.01 53 35-7 0.00 30 85. 7.21-24 17-32 63-92 4.65 1.21 39-4 19. 13.43. 11-3 354. 45. 12-90 0-34 72-56 12.80 1.40 5.45 1.29 47 36-0 0.03 35 85. 30. 54-39 46-33 68-06 5.10 1.40 38-2 20. 14. 27. 23-2 7. 38. 10-24 2-10 68-14 11.79 1.23 6. 17 1.47 38 36-2 0.13 39 86. 7.45-99 38-31 67-68 5.80 1.57 36-6 24.17.28. 9-5 57. 1.57-22 49-21 68-01 6.08 0.98 7.76 0.92 08 37-0 0.97 51 89. 56. 19-60 16-70 62-84 10.12 1.90 27-0 26. 19. 5. 20-2 81.39. 5-21 1-93 63-28 3.20 1.13 7.53 0.32 12 376 1.55 52 92. 3.31-82 19-12 72-70 12.53 1.82 21-2 Sep. 10. 7.28.24-6 281. 1. 17-67 14-93 62-74 12.21 2.77 0.38 0.31 11 40-1 1.67 08 86. 25. 56-65 56-77 59-88 6.24 0.35 23-5 12. 9.14.30-3 309. 6. 4-21 12-65 51-56 13. 80 2.27 1.21 0.00 28 40-3 1. 11 09 85. 9.53-06 52-64 60-42 4.77 0.73 29-9 13. 10. 3. 29-5 322.48.21-55 34-97 46-58 14.01 2.01 1.83 0.05 38 40-4 0.83 10 84. 57. 14-88 16-04 58-84 4.51 0.94 32-9 15.11.35.32-1 349. 29. 18-00 21-53 56-47 13.30 1.53 3.35 0.50 52 40-6 0.38 15 85. 22. 20-65 21-38 59-27 4.94 1. 35 37-3 16. 12. 21. 59-0 2.28. 2-36 3-46 58-90 12.45 1.34 4.18 0.83 54 40-7 0.20 19 85.57. 6-31 4-18 62-13 5.57 1.52 38-8 17.13. 6. 7-4 15.11. 3-10 1-17 61-93 11.33 1.18 5.00 1.15 50 40-8 0.08 23 86. 43. 27-94 23-97 63-97 6.42 1.67 39-7 20.15.22. 3-5 52. 12. 45-92 38-25 67-67 7.03 0.97 7.02 1.49 24 41-1 0.05 36 89. 44. 38-22 35-18 63-04 9.78 1.90 39-1 21.16. 9.21-6 64. 22. 55-96 39-79 76-17 5.50 0.90 7.44 1.34 15 41 "2 0.16 40 90. 49. 55-23 51-65 63-58 11.00 1.89 37-9 22. 16. 57. 34-6 76. 35. 39-03 28-92 70-11 4.04 1.06 7.70 1.08 09 41-3 0.32 44 91. 53. 10-85 11-82 59-03 12. 19 1.84 36-3 Oct. 6. 4.25.26-2 261.59.46-41 58-63 47-78 9.93 3.06 0.63 1.32 16 41-6 2.80 25 87. 35. 20-01 6-21 73-80 7.68 0.19 8-2 9. 7.11.38-5 304. 54. 24-76 24-15 60-61 13.47 2.43 0.29 0.46 09 41-5 2.37 14 85. 6. 15-62 12-65 62-97 4.86 0.68 14-1 10. 8. 0.54-5 318. 33. 24-62 24-90 59-72 13.93 2.17 0.53 0.20 14 41-4 2. 13 11 84. 50. 15-48 13-55 61-93 4.54 0.89 17-0 13. 10. 16. 45-6 357. 55. 10-01 10-56 59-45 13. 02 1.45 2.18 0.11 43 41-2 1.32 08 85.41.11-75 14-76 56-99 5.40 1.48 26-3 15. 11.44.37-7 23. 6.44-64 39-44 65-20 10.86 1.13 3.76 0.65 54 41-1 0.77 10 87.20. 9-33 8-92 60-41 7.17 1.76 31-8 15. 11.46.42-7 23. 7.46-60 42-30 64-30 10.86 1.13 3.76 0.05 54 41-1 0.77 10 87. 20. 14-14 13-87 60-27 7. 17 1.76 31-8 16.12.31.35-4 35. 29. 25-98 23-80 62-18 9.48 1.03 4.59 0.98 53 41-0 0.53 13 88.21.40-21 39-70 60-51 8.29 1.85 34-3 17. 13. 17. 29-2 47. 44. 24-10 22-20 61-90 7.98 0.98 5.40 1.27 48 41-0 0.33 16 89. 27. 18-73 15-62 63-11 9.48 1.89 36-3 22. 17. 17. 10-3 109. 10. 34-59 25-44 69-15 1.24 1.41 7.75 0.94 08 40-4 0.07 37 94. 20. 6-73 7-79 58-94 14.87 1.52 39-7 Nov. 6. 5.57.59-9 314. 14. 59-05 68-07 50-98 13. 69 2.34 0.27 0.94 08 38-0 2.83 28 84. 46. 33-00 31-28 61-72 4.58 0.85 7-6 7. 6.45.55-9 327.49.11-17 20-47 50-70 14.00 2.07 0.24 0.62 07 37-8 2.78 24 84.43. 9-90 7-78 62-12 4.51 1.06 8-2 8. 7.31.28-3 341. 1. 5-52 11-77 53-75 13.91 1.82 0.37 0.33 11 37-6 2.67 20 84. 56. 43-84 44-16 59-68 4.75 1.2G 9-6 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 \ 7.02 2. 00 4.00 e > 0. 76 30 20-8 /r \ 1.42 30 60-00 e \ 10.21 1.00 23-7 [280] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation Seconds of Tabular Longitude. Excess of Observed Longitude. If. 3 S" Change for 0?-1 1 in Argument. Parallaetic Inequality. Variation. Change for Os-1 1 in Argument. Annual Equation. Evection. Change for Os-1 1 in Argument. Ecliptic N.P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. *-s u . M -? . 5y Effect of Mean Inclination. Change for Os-1 I in Argument. fz wa" 1826. d h m O'" tf tt K * > V VV g v \ g * O t ft tr " g ^ \ \\ ' Nov. 9. 8.15.31-8 353. 54. 28-48 31-19 57-29 13. 46 1.58 0.69 0.11 18 37-4 2.51 16 85. 25. 24-69 27-68 57-01 5.26 1.45 11-3 11. 9.42.31-8 19. 0.35-19 33-53 61-66 11.63 1.21 1.78 0.04 38 36-8 2.07 20 86. 59. 11-63 16-75 54-88 6.95 1.74 15-9 12.10.26.48-8 31.20.11-25 2-45 68-80 10.35 1.09 2.49 0.21 46 36-6 1.81 09 87.59. 17-13 21-68 55-45 8.03 1.83 18-4 14.12. 0.52-3 55.47. 2-80 o-oo 62-80 7.40 0.97 4. 12 0.81 54 36-2 1.24 08 90. 12. 16-83 16-39 60-44 10.43 1.90 24-2 15. 12. 48. 29-1 67.58. 4-60 3-28 61-32 5.86 0.98 4.94 1.13 51 36-0 0.97 09 91. 19. 13-39 14-14 59-25 11.64 1.87 27-0 22. 18. 20. 58-5 156.51. 8-56 3-28 65-28 0. 15 2.21 7.69 0.49 09 34-0 0.02 34 95. 9.25-71 31-94 53-77 15.77 0.79 40-0 24.19.58.56-5 185.11.59-00 61-07 57-93 1.56 2.72 6.98 0.08 24 33-5 0.23 42 93. 57. 55-82 54-92 60-90 14.46 0.40 38-9 Dec. 4. 4.40.23-7 322. 42. 27-07 45-24 41-83 13.85 2.24 0.66 1.33 17 30-4 2.51 44 84. 43. 33-75 31-39 62-36 4.50 1.00 11-5 8. 7.40.55-5 14. 58. 46-84 56-38 50-46 12.31 1.31 0.51 0.22 14 29-2 2.82 27 86. 42. 46-84 49-75 57-09 6.74 1.71 7-4 10. 9. 9. 36 6 39. 32. 12-81 9-37 63-44 9.82 1.05 1.46 0.00 32 28-6 2.64 19 88. 43. 28-66 31-35 57-31 8.95 1.88 8-8 11. 9.55.36-3 51.42.10-34 5-62 64-72 8.35 0.99 2.13 0.10 42 28-3 2.47 15 89. 49. 49-43 53-18 56-25 10.17 1.90 10-1 12. 10.42.50-4 63.62.36-70 33-20 63-50 6.81 0.97 2.88 0.32 50 27-7 2.25 12 90. 56. 36-58 37-62 58-96 11.39 1.88 11-8 13.11.31. 2-7 76. 6. 19-80 16-63 63-17 5.29 1.00 3.70 0.63 54 27-4 2.01 10 92. 0.53-13 55-59 57-54 12.55 1.82 13-9 14. 12.21.53-7 88. 26. 27-20 25-37 61-83 3.84 1.08 4.53 0.96 63 27-0 1.74 09 93. 0. 2-07 0-02 62-05 13.62 1.72 16-5 21. 17. 51. 44-6 179. 33. 14-99 14-96 60-03 0.96 2.57 7.75 0.65 08 24-4 0. 10 22 94. 10. 46-90 48-89 58-01 14.73 0.45 36-3 1827. Jan. 3. 4. 52. 35-0 357. 23. 44-89 59-96 44-93 13.60 1.64 0.51 1.23 13 20-1 2. 12 50 85. 47. 19-48 15-63 63-85 5.61 1.53 17-5 8. 8.38.28-9 59.33. 8-27 10-48 57-79 7.77 0.98 1.13 0.01 27 18-1 2.83 31 90.39. 7-62 9-51 58-11 11.09 1.89 8-0 9. 9. 26. 16-6 71. 44. 33-51 37-48 56-03 6.23 0.98 1.73 0.03 37 17-8 2.81 26 91. 42. 40-62 43-13 57-49 12.28 1.84 7-5 10. 10. 14. 52-5 84. 2.20-48 23-52 56-96 4.73 1.03 2.44 0. 19 46 17-5 2.73 22 92. 41. 49-49 51-31 58-18 13.37 1.75 7-5 11.11. 3.47-1 96. 29. 19-21 19-94 59-27 3.33 1.12 3.23 0.46 52 17-1 2.60 18 93. 33. 49-92 50-75 59-17 14.33 1.62 8-0 12.11.52.28-2 109. 7.11-12 13-58 57-54 2.10 1.26 4. 06 0.79 54 16-5 2.41 14 94. 15. 58-34 60-58 57-76 15.10 1.47 9-1 13. 12. 42. 42-0 121.58. 6-91 5-55 61-36 1.11 1.43 4.88 1.11 51 16-2 2.19 11 94. 45. 54-55 54-50 60-05 15.64 1.28 10-7 14. 13. 29. 58-8 134. 59. 56-43 59-13 57-30 0.42 1.65 5.67 1.36 44 15-8 1.94 09 95. 1.24-71 24-06 60-65 15.91 1.08 12-8 Feb. 3. 5. 46. 13'6 42.35. 1-64 8-67 52-97 10.16 1.07 0.24 0.82 07 9-5 1.93 51 89.23.25-90 27-20 58-70 9.54 1.90 22-2 4. 6.32.40-4 54. 48. 37-86 45-95 51-91 8.72 1.00 0.27 0.50 08 9-2 2.19 49 90. 28. 10-01 15-07 54-94 10.77 1.90 19-4 5. 7.20. 0-3 66. 59. 5-84 13-36 52-48 7.20 0.97 0.48 0.23 13 8-6 2.41 46 91.31.21-90 25-42 56-48 11.97 1.86 16-8 6. 8. 8. 7-7 79. 12. 16-44 23-94 52-50 5.66 0.99 0.87 0.05 21 8-4 2.60 42 92. 30. 28-49 31-76 56-73 13.08 1.78 14-3 7. 8.56.46-1 91.33.23-30 27-33 55-97 4.19 1.05 1.41 0.00 31 8-1 2.73 38 93.23. 1-90 5-22 56-68 14.08 1.66 12-0 8. 9.45.32-4 104. 6.26-31 32-18 54-13 2.84 1.17 2.08 0.09 41 7-8 2.81 34 94. 6.31-20 35-20 56-00 14.91 1.51 10-2 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 \ \\ 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 i. oo 23-7 ' SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [281] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .0 '11 a 5 Change forOs-1 1 in Argument. Parallactic Inequality. Variation. 1 Change for OB- ll in Argument. 11 > ^ Feb. 9.10.34. 6-0 116.54.32-73 33-64 59-09 1.70 1.32 2.83 0.31 49 7-6 2.83 29 94. 38. 30-72 32-15 58-57 15.52 1.34 8-8 12. 12. 59. 35-6 156.58. 0-12 0-33 59-79 0.03 1.98 5.29 1.24 49 6-6 2.55 17 94. 44. 37-91 36-87 61-04 15.65 0.72 7-7 13. 13. 47. 23-7 170. 48. 37-79 34-48 63-31 0.20 2.25 6.02 1.44 40 6-3 2.36 13 94. 13. 20-06 20-59 59-47 15.07 0.52 8-7 14.14.36. 3-9 184.50.56-63 54-69 61-94 0.77 2.51 6.67 1.52 30 6-1 2.13 11 93. 26. 16-29 20-04 56-25 14.18 0.35 10-2 15. 15. 26. 14-8 199. 3. 5-91 9-73 56-18 1.71 2.75 7.19 1.45 20 5-9 1.87 09 92. 25. 56-73 56-36 60-37 13.05 0.22 12-6 16.16.18.31-4 213. 23. 58-89 60-77 58-12 2.99 2.95 7.56 1.26 13 5-6 1.59 08 91. 15. 34-87 36-58 58-29 11.72 0.13 15-2 17. 17.13.11-3 227. 52. 31-09 38-25 52-84 4.55 3.10 7.74 0.98 08 5-4 1.30 08 89. 59. 41-71 40-69 61-02 10.29 0.10 18-4 Mar. 6. 6.48.40-2 86. 22. 58-66 62-91 55-75 5.09 1.01 0.34 0.37 10 2-1 1.72 52 93. 16. 42-43 47-04 55-39 13.80 1.70 27-5 9. 9.13. 8-9 124.12.42-17 47-30 54-87 1.33 1.39 1.68 0.03 36 1-6 2.46 45 94.58.47-16 49-12 58-04 15.78 1.21 18-7 10. 10. 0. 58-8 137. 25. 36-83 39-51 57-32 0.56 1.59 2.38 0.18 45 1-4 2.64 41 95. 5.16-37 16-75 59-62 15.93 1.00 15-9 14.13.19.46-7 193.42. 9-78 2-36 67-42 1.08 2.60 5.62 1.35 45 1-0 2.78 24 92.42. 1-30 1-94 59-36 13. 38 0.25 7-9 15. 14. 12. 46-7 208. 22. 60-39 59-33 61-06 2.16 2.83 6.31 1.49 36 0-8 2.67 19 91. 30. 24-31 23-73 60-58 12.06 0. 15 7-4 17.16. 5.21-6 237. 59. 44-72 44-89 59-83 5. 19 3.14 7.39 1.37 16 0-6 2.30 13 88. 52. 27-53 27-37 60-16 9.13 0.12 8-9 April 4. 6.16.47-1 105. 57. 25-64 22-57 63-07 3. 15 1.13 0.26 0.53 08 o-o 0.93 51 94.35. 5-85 9-48 56-37 15.16 1.45 36-7 5. 7. 4. 4-0 118. 30. 52-96 54-45 58-51 1.96 1.28 0.46 0.25 13 o-o 1.21 52 95. 1.20-28 23-28 57-00 15.67 1.27 34-7 7. 8.38.11-3 144. 34. 52-49 52-85 59-64 0.35 1.68 1.37 0.00 31 o-i 1.79 52 95. 9.12-70 12-08 60-62 15.87 0.86 29-5 8. 9.25.48-5 158.12.57-13 46-28 70-85 0.05 1.92 2.03 0.08 41 0-2 2. 06 50 94. 47. 48-55 49-33 59-22 15.51 0.66 26-3 9. 10. 14. 32-4 172. 16. 56-39 53-11 63-28 0.12 2. 18 2.77 0.29 49 0-2 2.31 48 94. 8. 50-08 43-12 66-96 14.82 0.47 22-9 11.12. 0.22-2 201.39. 9-26 3-19 66-07 1.45 2.69 4.42 0.92 53 0-3 2.67 40 92. 2.21-93 19-54 62-39 12.56 0.18 16-1 12.12.56. 10-3 216.46.48-61 49-46 59-15 2.66 2.91 5.23 1.22 49 0-4 2.78 36 90.42. 6-84 7-85 58-99 11.10 0.11 12-9 May 3. 5.43.55-7 126. 2. 15-25 18-08 57-17 1.57 1.34 0.22 0.69 07 3-1 0.29 44 95. 14. 25-04 27-33 57-71 15.87 1.13 40-0 7. 8.51.30-0 179. 30. 35-58 27-59 67-99 0.25 2.28 1.63 0.02 35 3-8 1.28 52 93. 44. 43-53 33-48 70-05 14.26 0.36 35-6 8. 9.42.32-4 194. 0.54-27 56-36 57-91 0.87 2.54 2.33 0.16 45 4-0 1.58 52 92.41. 8-08 1-62 66-46 13.11 0.22 32-9 10.11.34.29-6 224. 21. 51-07 50-23 60-84 3.19 2.98 3.94 0.74 54 4-6 2.13 49 90. 0.23-26 15-03 68-23 10.20 0. 10 26-0 11.12.37.45-0 240. 1. 25-24 25-64 59-60 4.78 3.11 4.82 1.07 52 4-8 2.37 47 88. 34. 24-76 20-06 64-70 8.65 0.13 22-2 12. 13. 40. 21-4 255.44.60-18 59-72 60-46 6.53 3.18 5.62 1.34 45 5-0 2.57 43 87. 14. 36-70 34-77 61-93 7.21 0.24 18-4 15.16.39.51-5 301.44.28-13 31-34 56-79 11.46 2.89 7.37 1.38 17 5-6 2.83 30 84. 50. 29-63 25-83 63-80 4.63 0.81 9-8 June 5. 8.21.36-6 201.33.27-40 28-98 58-42 1.20 2.63 1.33 0.00 30 11-5 0.55 48 92. 0.44-66 34-76 69-90 12.30 0.16 39-9 7. 10. 14. 50-7 231.45.57-67 64-74 52-93 3.76 3.03 2.71 0.27 48 12-1 1.07 52 89. 18. 23-23 13-27 69-96 9.32 0.11 37-3 Sub. 60-00 Sub. 7.02 Sub. Sub. Sub. 0.76 Sub. 30 Sub. 20-8 Sub. s \ 1.42 Sub 30 Sub. 60-00 Sub. 10.21 Sub. \ XV 1.00 Sub. 23-7 2.00 4.00 GREENWICH LUNAR REDUCTIONS. 2[0] [282] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. u Greenwich fn ii 1 .J "S Ecliptic s 1^. 1 _U ^ Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude Excess of Observe! Longitude. 11 if Changeforfl in Arguinen Parallactic Inequality Variation. Change for in ArgumenI Annual Equation. Evection. Change for in ArgumenI N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecli| N.P.D. Excess of Ol served Eclipl N. P. D. Effect of Mean Inclination. Change for in Argument 'c . ww 1827. d h m s o / // " " g * \ v\ X g " s * O t It ft " a v \ June 8.11.16.43-9 247. 28. 39-37 49-98 49-39 5.42 3.14 3.52 0.57 53 12-4 1.36 53 87. 55. 50-19 41-87 68-32 7.81 0.18 34-9 9. 12. 22. 51-4 263.25. 2-38 7-21 55-17 7.20 3.18 4.36 0.91 53 13-0 1.66 52 86.41.53-39 46-93 66-46 6.47 0. 32 31-8 10. 13. 25. 59-5 279. 18. 51-17 55-59 55-58 8.95 3.13 5.17 1.21 49 13-3 1.94 51 85. 43. 34-95 29-03 65-92 5.43 0.51 28-3 11. 14.26.36-3 294.59. 4-55 2-40 62-15 10.57 3.00 5.92 1.43 41 13-6 2.21 49 85. 5.26-36 22-27 64-09 4.76 0.73 24-5 July 3. 7. 4.23-0 209. 53. 29-25 31-03 58-22 1.58 2.72 0.57 0.16 16 21-1 0.01 33 91. 7.52-80 47-76 65-04 11.36 0.12 35-9 5. 8.57.42-2 239.39. 6-33 8-14 58-19 4.36 3.08 1.59 0.02 35 21-8 0.21 42 88.30.23-41 16-77 66-64 8.41 0.15 39-4 6. 9.59.18-9 255. 10. 23-26 34-28 48-98 6.08 3.17 2.33 0.15 44 22-1 0.39 46 87. 15. 28-08 21-69 66-39 7.02 0.25 40-0 8.12. 4.51-6 286. 50. 37-54 43-08 54-46 9.58 3.09 3.94 0.73 54 22-7 0.88 51 85. 25. 44-85 38-01 66-84 5.00 0. 63 38-4 8. 12. 7. 17-5 286.52. 6-71 15-45 51-26 9.58 3.09 3.94 0.73 54 22-7 0.88 51 85. 25. 40-53 34-42 66-11 5.00 0.63 38-4 9. 13. 7. 14-5 302.36. 9-87 10-91 58-96 11. 12 2.94 4.76 1.06 52 23-3 1.16 52 85. 0.43-59 40-09 63-50 4.56 0.87 36-4 10.14. 3.45-8 317. 59. 59-16 58-24 60-92 12.40 2.73 5.56 1.33 46 23-7 1.45 53 84.58. 13-19 7-49 65-70 4.54 1.11 33-7 11.14.56.48-0 332. 55. 18-98 17-47 61-51 13. 32 2.49 6.27 1.49 37 24-0 1.74 52 85.16.31-20 26-86 64-34 4.91 1.34 30-6 12.15.46.53-8 347.18. 4-95 0-07 64-88 13.86 2.23 6.87 1.51 26 24-3 2.02 50 85. 52. 27-85 21-84 66-01 5.61 1.53 27-3 13.16.34.50-8 1. 7.59-44 55-01 64-43 14.01 1.97 7.34 1.39 17 24-6 2.27 48 86.41.50-60 45-54 65-06 6.56 1.69 24-0 16. 18. 53. 48-0 39. 58. 37-90 30-17 67-73 12.28 1.31 7.72 0.55 08 25-6 2.77 37 89. 50. 69-48 59-76 60-72 10.14 1.90 15-2 30. 4.59.37-7 205. 3.27-62 33-85 53-77 0.98 2.57 0.25 0.88 08 30-1 0.45 14 91. 18. 19-79 13-33 66-46 11.68 0.13 20-7 Aug. 2. 7.44.49-4 248.27.26-10 27-97 58-13 5.00 3.12 0.78 0.08 20 31-2 0.03 25 87. 35. 45-37 38-83 66-54 7.46 0.21 30-9 3. 8. 45. 17-0 263.39. 5-73 16-02 49-71 6.75 3.18 1.29 0.00 29 31-5 0.00 30 86.31.17-58 11-43 66-15 6.24 0.35 34-1 4. 9.46.31-6 279. 6.24-14 33-91 50-23 8.52 3.15 1.93 0.06 40 31-7 0.03 35 85. 40. 60-67 55-20 65-47 5.28 0.55 36-7 6.11.44.57-2 310. 10. 49-60 48-69 60-91 11.63 2.87 3.46 0.56 53 32-3 0.26 43 84. 59. 33-61 29-08 64-53 4.50 I. 01 39-8 7. 12. 42. 29-8 325. 27. 67-22 58-80 68-42 12.78 2.65 4.36 0.89 54 32-5 0.45 47 85. 11. 19-10 12-42 66-68 4.71 1.25 40-0 8. 13. 34. 54-7 340. 20. 45-75 38-14 67-61 13.57 2.39 5.17 1.20 49 32-8 0.69 49 85. 42. 35-32 26-56 68-76 5.30 1.46 39-4 11.16. 1. 3-5 22. 3.21-58 8-81 72-77 13.59 1.63 7.12 1.47 22 33-8 1.53 53 88. 32. 37-98 29-29 68-69 8.51 1.86 33-9 12.16.48. 11-7 35. 2.24-71 17-02 67-69 12.87 1.42 7.51 1.30 14 34-1 1.81 52 89.40. 13-01 7-42 65-59 9.79 1.90 31-3 Sep. 1. 8. 33. 56-6 288. 9.20-83 36-72 44-11 9.16 3.12 1.01 0.02 24 38-5 0.22 18 85.11.22-17 21-68 60-49 4.84 0.69 25-2 2. 9.31.19-3 303. 16. 7-83 21-79 46-04 10.76 2.98 1.59 0.01 34 38-8 0.09 22 84. 55. 37-66 38-06 59-60 4.52 0.92 28-7 5.12.13. 2-3 347. 49. 44-26 41-04 63-22 13.76 2.30 3.88 0.71 54 39-3 0.05 36 86. 9.48-92 44-93 63-99 5.82 1.58 37-a 7.13.51.16-4 15. 51. 55-25 53-26 61-99 13.87 1.78 5.51 1.31 46 39-6 0.31 44 88.11.60-28 54-33 65-95 8.07 1.84 39-8 28. 6.27.39-0 283.18. 0-02 5-74 54-28 8.10 3. 16 0.25 0.58 08 41-5 1.34 08 85. 10. 30-29 25-63 64-66 4.97 ). 04 10-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. II 8 \ \ \\ V \\ R \ \v 1 a > vv a s \ \ % 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 10.21 1.00 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [283] Greenwich SO .jj 60 il Ecliptic u "G. a .H Mean Solar Time of Longitude of 5-S 3 "= z "S 03 fc = 'e.1 C t- O ee< I a & tt < II < w H B fl g * " I g v o / // II // g > \ v\ Sep. 29. 7.24. 5-4 298. 2.53-95 63-51 50-44 9.80 3.07 0.40 0.29 12 41-5 1.06 09 84. 49. 47-63 43-64 63-99 4.56 0.87 12-9 Oct. 1. 9. 10. 55-9 327. 17. 36-43 44-85 51-58 12.53 2.71 1.29 0.00 29 41-6 0.55 12 85. 9. 4-78 5-86 58-92 4.86 1.32 19-2 2.10. 1.32-7 341. 40. 29-26 34-54 54-72 13.41 2.46 1.93 0.06 39 41-6 0.34 16 85. 46. 52-52 57-30 55-22 5.53 1.52 22-7 3. 10. 50. 52-0 355. 49. 12-23 18-95 53-28 13.90 2.20 2.66 0.25 48 41-6 0.18 19 86. 39. 43-76 48-73 55-03 6.48 1.68 26-0 4.11.39.27-7 9. 41. 27-84 21-06 66-78 14.00 1.93 3.46 0.54 53 41-6 0.06 23 87. 43. 38-92 38-09 60-83 7.64 1.80 29-2 5.12.29.54-8 23. 16. 9-93 7-12 62-81 13.71 1.69 4.30 0.87 54 41-6 0.01 28 88.54. 4-45 4-19 60-26 8.91 1.88 32-2 6.13.18. 15-5 36. 30. 53-48 46-58 66-90 13.08 1.47 5.11 1.18 50 41-6 0.01 32 90. 6.32-42 31-49 60-93 10.23 1.90 34-7 7. 14. 6. 45-9 49. 27. 23-09 19-20 63-89 12. 14 1.28 5.87 1.41 42 41-5 0.07 37 91. 17. 8-89 7-66 61-23 11.52 1.88 36-7 11.17.19.31-2 99. 9.49-71 33-86 75-85 6.56 0.97 7.72 1.05 09 41-4 0.82 50 94. 43. 37-75 44-96 52-79 15.32 1.40 39-9 12.18. 6.14-9 111.25.57-40 47-09 70-31 5.04 1.01 7.77 0.74 07 41-3 1.09 52 95. 6.52-37 55-51 56-86 15.75 1.22 39-4 27. 6. 14. 55-1 308. 18. 41-00 48-48 52-52 10.41 3.02 0.22 0.74 07 39-8 2.09 11 84. 42. 65-09 59-61 65-48 4.50 1.05 7-4 31. 9.33.39-3 4. 31. 53-22 53-69 59-53 13.99 2. 10 1.55 0.01 34 39-2 0.98 09 87. 17. 10-69 15-71 54-98 7.31 1.78 13-3 Nov. 1.10.21. 7-2 17. 58. 23-96 20-40 63-56 13.94 1.84 2.23 0.13 43 39-1 0.72 11 88.25. 4-57 10-62 53-95 8.54 1.86 15-9 2.11. 8.47-8 31.10.54-28 46-59 67-69 13.52 1.60 3.00 0.37 51 38-9 0.49 13 89.36,53-16 62-13 51-03 9.85 1.90 18-9 3.11.59. 5-1 44. 10. 62-60 53-93 68-67 12.76 1.39 3.82 0.69 54 38-6 0.29 17 90. 48. 57-31 58-68 58-63 11.15 1.89 21-9 4. 12. 47. 38-9 56. 57. 18-50 12-48 66-02 11.72 1.22 4.65 1.02 52 38-4 0.14 20 91.57. 9-43 9-09 60-34 12.37 1.83 25-0 11.18. 15.30-6 143. 33. 62-50 54-99 67-51 1.93 1.28 7.74 0.59 08 36-8 0.63 49 95. 0.31-10 31-31 59-79 15.62 0.71 39-5 24. 5. 3.42-3 318.13.41-33 57-27 44-06 10.97 2.96 0.44 1.19 12 33-8 2.76 23 84.54.11-68 8-51 63-17 4.68 1.22 12-0 27. 7.31.45-0 0. 20. 54-87 56-60 58-27 13.82 2.26 0.40 0.30 12 32-7 2.27 12 87. 0.55-10 59-69 55-41 7.08 1.75 7-6 29. 9. 5.23-1 26. 47. 23-34 13-52 69-82 13.82 1.75 1.25 0.00 28 32-1 1.76 09 89. 14. 34-35 40-60 53-75 9.55 1.89 7-9 Dec. 4. 13. 7. 38-1 89.43.35-18 36-01 59-17 8.46 0.99 5.05 1.16 50 30-4 0.43 14 94.13.48-19 50-17 58-02 14.99 1.49 17-2 6. 14.41.28-9 114.14. 8-48 2-83 65-65 5.40 1.00 6.49 1.51 33 29-8 0.11 21 95. 4.21-31 22-32 58-99 15.87 1.14 22-7 8.16.11. 2-3 138. 46. 44-21 40-84 63-37 2.64 1.19 7.47 1.33 15 29-2 0.00 30 94.59.38-75 41-22 57-53 15.72 0.76 28-5 10.17.38.48-4 163. 52. 14-49 15-22 59-27 0.70 1.54 7.77 0.76 07 28-6 0.12 39 93. 58. 45-07 46-14 58-93 14.54 0.41 33-7 11.18.23.41-5 176. 49. 59-42 56-88 62-54 0.19 1.77 7.67 0.46 10 28-0 0.26 43 93. 8.32-11 27-01 65-10 13.58 0.27 35-9 23. 4.39.50-5 341. 46. 54-68 69-82 44-86 12.68 2.67 0.63 1.31 16 24-1 2.79 35 85. 59. 31-13 32-76 58-37 5.80 1.57 20-7 24. 5.29. 7-2 355. 54. 18-27 31-99 46-28 13.51 2.42 0.34 1.07 10 23-8 2.83 31 86.53. 2-03 4-45 57-58 6.83 1.72 17-5 26. 7. 3.50-4 22.47.11-93 16-48 55-45 13.98 1.90 0.29 0.45 09 23-1 2.74 22 89. 3. 3-27 12-46 50-81 9.29 1.89 12-2 30.10.13.43-9 73. 15. 7-23 3-92 63-31 10.77 1.12 2.18 0.12 43 21-5 1.96 10 93 M 14. 59-86 63-11 56-75 14.00 1.67 7-4 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. // g \ \ \\ \ \\ r X s ( g \ v\ // & \ > 60-00, 7. 02 2. 00 4.00 0.761 30 1 20-8 1.42 30 60-00 10.21 1.00 23-7 . 2 [O] 2 [234] EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .. 1 = a f Change for OS- 1 1 in Argument. Parullactic Inequality. Variation, Change for OS- 1 1 in Argument. : Annual Equation. Evection. Change for 0-"1 1 in Argument. 1 Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. 1 O .0 *rt C o, . w'-gC :** % >* & -^ Kl u- C a t S I s ! Change for OS-1 in Argument. a C p^ |z [5 w 1827. d h "' o fit // rr * v \ XV \ \\ e \\ V e * IV o ' " ff ft g > \ \\ > Dec. 31.11. 1.50-6 85. 33. 59-00 5347 65-53 9.38 1.03 2.94 0.36 50 21-1 1.68 08 93. 59. 52-15 53-21 58-94 14.83 1.53 7-6 1828. Jan. 1.11.49.32-6 97. 50. 23-39 20-98 62-41 7.88 0.98 3.76 0.67 54 20-8 1.40 08 94. 33. 17-3(5 18-77 58-59 15. 45 1.36 8-2 . 3.13.24.21-9 122.22.44-34 39-84 64-50 4.84 1.02 5.40 1.28 47 20-1 0.84 10 95. 1. 3-23 1-89 61-34 15.93 0.99 10-8 4. 14. 9. 5-8 134. 40. 18-46 18-34 60-12 3.44 1.11 6.12 1.46 39 19-5 0.60 12 94.54. 6-15 6-85 59-30 15.78 0.80 12-9 11.19.33.55-6 226. 4.54-06 51-44 62-62 1.23 2. 64 7. 19 0.13 20 16-8 0. 15 40 88. 44. 49-76 48-30 61-46 8.74 0.13 33-1 21. 4.10.29-0 4. 7.22-72 24-87 57-85 13.72 2.32 0.84 1.40 20 13-6 2.40 46 87. 45. 37-52 35-99 61-53 7.65 1.81 30-9 23. 5.47.17-2 31. 14. 59-04 65-24 53-80 13.90 1.80 0.26 0.93 08 13-0 2.73 39 90. 4. 5-59 10-03 55-56 10.29 1.90 24-5 26. 9.10.46-0 69.14. 13-67 16-70 56-97 11.55 1.20 0.72 0.10 18 12-1 2.80 25 93. 9.22-94 30-26 52-68 13.80 1.70 15-9 27. 8.58.42-4 81.32.27-07 22-61 64-46 10.26 1.08 1.21 0.00 28 11-5 2.71 21 93. 54. 56-29 60-39 55-90 14.68 1.56 13-3 29. 10. 33. 27-8 106. 1.20-04 20-39 59-65 7.30 0.97 2.55 0.22 47 10-9 2.37 14 94.51.10-41 11-48 58-93 15.76 1.22 9-7 30.11.19.44-0 118.17.30-49 33-42 57-07 5.77 0.99 3.35 0.49 52 10-6 2.14 11 94. 59. 36-64 36-07 60-57 15.93 1.03 8-5 Feb. 2. 13. 35. 38'5 155. 33. 27-93 31-55 56-38 1.78 1.30 5.77 1.38 44 9-7 1.33 08 94. 1.37-80 39-03 58-77 14.87 0.48 7-7 20. 4. 27. 52-9 38. 52. 56-74 64-58 52-16 13.76 1.71 0.66 1.32 16 4-8 1.98 51 91. 0.13-51 17-75 55-76 11. 19 1.89 36-4 24. 7.41.56-1 89.26.16-35 18-26 58-09 9.73 1.05 0.51 0.21 14 4-0 2.75 38 94. 30. 44-98 50-57 54-41 15.20 1.44 26-5 28. 10.46.21-2 138. 37. 60-02 54-50 65-52 3.76 1.08 2.88 0.34 50 3-0 2.68 20 94. 45. 10-56 9-98 60-58 15.59 0.69 15-2 Mar. 2. 13. 2. 6-4 176. 48. 32-67 38-02 54-65 0.61 1.57 5.34 1.26 48 2-5 2.08 10 92. 33. 36-61 32-72 63-89 13. 22 0.23 9-2 5. 15. 24. 36-4 216. 44. 52-34 63-16 49-18 0.33 2.33 7.22 1.44 20 2-1 1.25 08 89. 4.41-53 39-78 61-75 9.37 0.11 7-6 6.16. 16.26-5 230.33. 9-64 12-77 56-87 1.01 2.58 7.58 1.24 12 1-8 0.97 09 87.53. 9-08 7-23 61-85 8.04 0.17 8-3 23. 6. 22. 59-0 96. 52. 13-73 13-25 60-48 9.19 1.02 0.24 0.63 07 0-2 2.05 50 94. 56. 58-20 61-78 56-42 15.57 1.31 37-6 24. 7. 9.53-8 109. 8. 17-88 28-38 49-50 7.68 0.98 0.37 0.34 11 0-1 2.29 48 95. 12. 12-12 18-02 54-10 15.87 1. 13 35-9 25. 7.55.48-7 121. 23. 56-92 66-03 50-89 6.14 0.98 0.69 0.11 18 o-i 2.50 44 95. 13. 18-45 20-29 58-16 15.92 0.93 33-9 26. 8.40.53-0 133. 43. 40-26 48-52 51-74 4.64 1.03 1.17 0.01 27 0-1 2.67 41 94. 59. 61-94 59-66 62-28 15.70 0.75 31-3 27. 9.25.26-0 146. 11. 42-47 47-80 54-67 3.26 1.12 1.78 0.04 37 o-i 2.78 36 94. 32. 30-22 25-54 64-68 15.22 0.57 28-7 28. 10. 9. 54-3 158.51.33-11 29-39 63-72 2.04 1.26 2.49 0.20 46 o-o 2.83 32 93.51. 19-75 13-22 66-53 14.48 0.40 25-8 30.11.40.44-5 184. 55. 24-63 16-06 68-57 0.39 1.66 4.12 0.80 54 o-o 2.76 23 91.53.31-03 26-82 64-21 12.37 0.17 19-7 31. 12. 30. 24-7 198. 22. 50-54 48-13 62-41 0.06 1.90 4.94 1. 12 51 o-o 2.64 19 90. 41. 44-09 35-63 68-46 11.07 0. 11 16-5 April 2. 14. 12. 6-2 226. 3.57-10 59-56 57-54 0.54 2.42 6.40 1.50 35 o-o 2.26 12 88. 10. 58-32 50-08 68-24 8.32 0.15 11-3 23. 7.18.56-8 140. 56. 44-09 56-53 47-56 4. 10 1.06 0.48 0.22 14 1-6 1.85 52 94. 47. 23-34 20-49 62-85 15.39 o; 62 39-6 24. 8. 3. 0-3 153.25. 8-15 20-47 47-68 Sub. 60-00 2.77 1.17 0.87 0.05 22 1-7 2.11 50 94. 11. 48-83 42-71 66-12 14.74 0.45 38-7 Sub. s \ 7.02 Sub. Sub. Sub. f \ 0.76 Sub. U 30 i Sub. 20-8 Sub. x \ 1.42 Sub. V* 30 Sub. 60-00 Sub. a \ 10.21 Sub. i. ob Sub. 23-7 2.00 4.00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [285] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. . 1| 3 f Change for Os-1 1 in Argument. Parallactic Inequality. Variation. Change for OS'l 1 in Argument. Annual Equation. Evcctioo. Change for Os-1 1 in Argument. | Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic 1 N. H. D. Excess of Ob- 1 served Ecliptic I N.P. n. Effect of Mean Inclination. Change for 08-1 1 in Argument. Fvcction iu H.N.IM). 1828. d h m April 26. 9.32.33-2 O ' II 179. 7.17-67 // 17-79 rt 59-88 y v 0.78 0. 10 O 1 II 92. 23. 25-89 ii 17-40 n 68-49 g * 12. 77 V XV 0.19 35-4 1.52 2.08 42 2-0 2.55 44 27. 10. 19. 24-7 192.28. 1-61 6-80 54-81 0.22 1.75 2.83 0.31 49 2'2 2.70 40 91. 14. 18-52 6-25 72-27 11.51 0. 12 32-9 28.11. 8.34-1 206. 11. 34-22 33-75 60-47 0.03 2.00 3.64 0.62 54 2-3 2.79 35 89. 58. 57-22 40-75 67-47 10. 14 0. 10 29-9 29. 12. 2. 43-7 220.18.49-21 49-13 60-08 0.22 2.26 4.47 0.95 53 2-6 2.83 31 88. 41. 40-07 33-84 66-23 8.74 0. 13 26-8 30. 12. 57. 32-6 234. 45. 21-31 17-90 63-41 0.81 2.52 5.29 1.25 48 2-8 2.81 26 87. 27. 42-08 37-37 64-71 7.40 0. 22 23-2 May 5. 17. 45. 44'8 309. 9.45-89 50-45 55-44 8.16 3. 16 7.75 0.96 08 3-6 1.94 09 84. 53. 19-07 13-91 65-16 4.67 1.22 8-9 24. 8. 9.47-3 186. 17. 15-77 28-71 47-06 0.53 1.60 1. 13 0.01 26 8-3 1.63 52 91.42.25-50 12-18 73-32 11.97 0.14 39-9 25. 8. 57. 12"2 199.41.13-33 17-62 55-71 0.11 1.84 1.73 0.03 36 8-5 1.91 51 90. 31. 20-24 7-57 72-67 10.65 0.10 39-9 29. 12. 39. 57-0 257.51.57-89 62-92 54-97 2.24 2.84 4.88 1.10 51 9-6 2. 73 38 85. 54. 36-41 28-98 67-43 5.58 0.47 32-9 31.14.41. 1-4 288. 42. 25-42 21-19 64-23 5.31 3.14 6.36 1.50 35 10-4 2.83 29 84. 53. 50-41 44-47 65-94 4.52 0.92 25-8 June 5.19. 8.30-9 2.31. 8-31 8-60 59-71 12.94 2.61 7.70 0.50 09 11-8 2.13 11 88. 2.47-50 49-88 57-62 8. 16 1.84 10-2 21. 6.48.17-7 193.41.53-05 59-44 53-61 0.33 1.69 0.46 0.24 13 17-0 0.59 48 90. 52. 16-96 5-11 71-85 11.10 0.11 33-3 22. 7.35.55-8 207. 2. 1-19 6-78 54-41 0.04 1.93 0.84 0.06 21 17-3 0.85 51 89. 41. 29-70 17-02 72-68 9.76 0. 10 356 24. 9.21.10-8 235. 14. 57-78 68-31 49-47 0.63 2.46 2.03 o. on 41 18-2 1.42 53 87.19.69-12 54-50 74-56 7.11 0.24 39-1 25. 10. 19. 13-0 250. 10. 34-30 45-99 48-31 1.51 2.71 2.77 0.30 49 IS-fi 1.71 52 86. 19. 16-32 6-72 69-60 5.97 0.40 39-9 26. 11. 19. 59-3 265.34.26-19 30-70 55-49 2.74 2.92 3.58 0.60 53 18-9 1.99 51 85.32.29-15 21-82 67-33 5.11 0.60 39-9 27.12.24.19-4 281. 18.48-89 50-85 58-04 4.26 3.08 4.47 0.94 53 19-2 2.25 48 85. 4.46-89 40-76 66-13 4.60 0.83 38-9 28. 13. 25. 30-2 297. 8.39-06 32-53 66-53 5.96 3.16 5.29 1.24 49 19-5 2.46 45 84. 59. 23-62 19-00 64-62 4.52 1.08 37-0 29. 14. 24. 30-2 312.52.12-31 13-84 58-47 7.74 3.17 6.02 1.44 40 19-8 2.64 41 85. 16. 44-23 41-99 62-24 4.86 1.32 34-5 July 19. 5.29.22-7 201.41.24-08 30-54 53-54 0.18 1.78 0.23 0.68 07 26-8 0.02 34 89. 54. 44-31 37-30 67-01 10.16 0.10 20-2 22. 8. 3. 0-0 242. 55. 58-54 59-98 58-56 0.91 2.55 1.09 0.01 26 27-7 0.43 46 86. 36. 22-62 12-62 70-00 6.39 0.33 29-9 25.11. 3.14-2 288. 52. 56-57 62-19 54-38 4.88 3.12 3.17 0.44 52 28-9 1.21 52 84. 58. 59-54 52-72 66-82 4.50 0.97 38-1 29. 14. 56. 18-0 351.47. 1-20 1-58 59-62 11.53 2.88 6.36 1.49 36 30-1 2.31 47 87. 38. 13-30 11-21 62-09 7.45 1.79 38-3 30. 15. 48. 27-6 6. 34. 47-00 54-06 52-94 12. 71 2.66 6.95 1.50 25 30-3 2.52 44 88. 51.31-51 28-53 62-98 8.83 1.87 36-4 Aug. 2. 18. 18. 52-3 48. 1.22-17 11-76 70-41 13.98 1.89 7.78 0.83 07 31-5 2.83 32 92. 25. 5-38 6-36 59-02 12.87 1.80 28-0 18. 5.53.36-4 237.15.10-51 17-43 53-08 0.47 2.40 0.26 0.53 08 35-7 0.02 26 86. 45. 38-75 33-24 65-51 6.71 0.29 13-7 19. 6.48.13-8 251.22.37-30 44-59 52-71 1. 26 2.65 0.44 0.26 13 36 '0 0.00 31 85. 53. 17-84 9-80 68-04 5.71 0.45 16-5 20. 7. 45. 37-3 266. 0.28-07 32-51 55-56 2.41 2.87 0.81 0.06 21 36-2 0.04 35 85. 14. 52-02 46-13 65-89 4.96 0.64 19-9 21. 8. 44. 54-3 281. 7.19-61 32-23 47-38 3.86 3.04 1.37 0.00 31 36-4 0.14 40 84. 54. 38-85 37-31 61-54 4.56 0.87 23-7 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 t \v 2.00 4.00 0.76 \\ 30 20-8 f. 42 30 60-00 10.21 i. oo 23-7 [286] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. If Change for OS' 1 1 in Argument. Parallactic Inequality. Variation. Change for OB- 1 1 in Argument. Annual Equation. Evection. i Change for 03-1 1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N. P. D. i Excess of Ob- 1 served Ecliptic 1 N. V. D. Ellect of Mean Inclination. Change for 0?- 1 in Argument. W +7 ga WH 18-28. d h m s Aug. 2-2. 9.44.52-8 O III 296. 38. 37-71 ii 42-76 H 54-95 s " 5.53 3.15 \ \\ 2.03 s * 0.08 41 36-6 g * 0.29 44 o / 84. 55. 59-93 II 58-18 II 61-75 g ' 4.54 1. 11 27-5 23. 10. 44. 17-4 312.25.11-76 11-37 60-39 7.29 3.18 2.77 0.29 49 37-0 0.49 47 85.20. 8-25 6-66 61-59 4.95 1.35 31-1 24.11.42.15-4 328. 15. 29-66 30-87 58-79 9.04 3.12 3.58 0.59 53 37-2 0.73 50 86. 5.43-77 42-45 61-32 5.77 1.57 34-3 26. 13. 35. 11-1 359. 22. 28-50 30-40 58-10 12.02 2.81 5.23 1.22 49 37-6 1.29 52 88. 23. 22-50 22-02 60-48 8.28 1.85 38-8 Sep. 1.18.42. 8-3 82. 3. 60-95 47-87 73-08 12.59 1.36 7.76 0.68 08 38-8 2.71 39 94. 40. 57-14 59-89 57-25 15.32 1.40 34-7 16. 5.37.21-0 260. 43. 28-15 30-21 57-94 1.65 2.74 0.22 0.70 07 40-8 0.36 15 85. 17. 20-87 15-78 65-09 5.13 0.59 8-1 18. 7.31.32-7 290. 0. 52-39 61-32 51-07 4.47 3.09 0.60 0.15 16 41-0 0.07 23 84. 45. 19-87 20-16 59-71 4.50 1.03 11-7 19. 8.29. 6-8 305. 9.25-42 36-62 48-80 6.19 3.17 1.05 0.02 25 41-1 0.01 27 85. 0.37-51 36-47 61-04 4.75 1.27 14-3 20. 9.26. 0-1 320.31.26-98 36-68 50-30 7.96 3.17 1.63 0.02 35 41-1 0.01 32 85. 37. 16-86 20-77 56-09 5.40 1.49 17-7 21.10.21.51-3 335. 59. 25-14 25-81 59-33 9.67 3.08 2.33 0. 16 45 41-2 0.06 37 86. 33. 18-93 21-07 57-86 6.40 1.67 21-4 22. 11. 16. 38-3 351.24.23-64 21-95 61-69 11.19 2.93 3.12 0.42 51 41-3 0.17 41 87. 44. 12-49 14-87 57-62 7.68 1.81 25-2 23.12. 12.49-1 6.39. 0-02 2-82 57-20 12.45 2.72 3.94 0.74 54 41-4 0.34 45 89. 4.11-36 10-78 60-58 9.12 1.88 28-7 24.13. 6. 7-4 21.33.19-31 18-51 60-80 13. 36 2.48 4.82 1.07 52 41-4 0.55 48 90. 26. 19-97 18-23 61-74 10.61 1.90 32-0 25. 13. 58. 59-7 36. 3. 15-23 1977 55-46 13.88 2.22 5.62 1.33 45 41-5 0.80 50 91. 44. 37-44 36-56 60-88 12.04 1.85 34-9 27.15.43.21-9 63. 42. 53-91 51-07 62-84 13.75 1.70 6.91 1.51 26 41-5 1.37 53 93. 51. 32-88 35-29 57-59 14.35 1.62 38-7 Oct. 1.18.59.39-7 114.40. 7-45 9-89 57-56 9.68 1.04 7.71 0.54 09 41-6 2. 42 46 95. 14. 1-28 6-49 54-79 15.88 0.88 39-0 18. 8.11. 5-0 329. 35. 16-91 23-05 53-86 8.62 3.14 0.81 0.07 20 40-8 0.30 16 86. 6.54-45 57-84 56-61 6.05 1.62 8-5 19. 9. 4.25-4 344.33. 1-34 7-63 53-71 10.27 3.03 1.33 0.00 30 40-7 0.15 20 87. 10. 19-67 27-01 52-66 7.21 1.77 10-1 20. 9.57.11-6 359. 28. 47-74 47-09 60-65 11.70 2.86 1.98 0.07 40 40-6 0.05 24 88. 25. 12-25 18-57 53-68 8.56 1.86 12-6 21. 10. 49. 45-5 14. 17. 12-90 17-10 55-80 12.82 2.64 2.71 0.27 48 40-5 0.00 29 89.45.46-84 55-95 50-89 10.03 1.90 15-4 22. 11. 42. 26-4 28.53.34-18 31-84 62-34 13.60 2.38 3.52 0.57 53 40-4 0.01 33 91. 6. 13-42 19-79 53-63 11.48 1.88 18-7 22.11.44.41-4 28. 54. 50-86 50-41 60-45 13.60 2.38 3.52 0.57 53 40-4 0.01 33 91. 6.19-94 26-82 53-12 11.48 1.88 18-7 23. 12. 37. 33-3 43. 14. 10-50 10-70 59-80 13.97 2.12 4.36 0.90 53 40-3 0.09 38 92.21. 3-54 1-45 62-09 12.83 1.80 21-9 24.13.30.24-7 57.13. 4-87 9-58 55-29 13.95 1.86 5.17 1.21 49 40-0 0.21 42 93. 25. 12-75 15-05 57-70 13.99 1.67 25-5 25.14.22.51-8 70. 49. 60-47 53-83 66-64 13.56 1.62 5.92 1.42 41 39-9 0.39 46 94. 15. 56-48 58-93 57-55 14.90 1.51 28-5 28.16.52.40-0 109. 34. 33-19 25-30 67-89 10.55 1.10 7.51 1.29 13 39-5 1.15 52 95.15. 9-98 11-88 58-10 15.92 0.94 36-1 29.17.39.10-8 121.57.48-85 44-35 64-50 9.14 1.02 7.73 1.02 08 39-4 1.44 53 95. 4.23-77 26-38 57-39 15.71 0.75 37-9 Nov. 12. 4. 17. 39'9 295. 27. 53-44 52-10 61-34 4.09 3.06 0.57 1.28 15 36-6 2.05 10 84. 52. 11-56 5-90 65-66 4.59 1.16 16-5 13. 5.13. 6-2 310.11.63-18 59-49 63-70 5.77 3. If 0.31 1.02 09 36-4 1.78 09 85. 14. 49-98 45-51 64-47 5.04 1.38 13-5 Sub. 60-00 Sub. 7.02 Sub 2.00 Sub. 4.00 Sub. 0.76 Sub Sub. Sub. Sub Sub. 60'-00 Sub. \ 10.21 Sub i. oo Sub. 23-7 30 20-8 1.42 30 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [287] Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. .. &.S if H- 1 M IS ti 5. < u.S Parallactic Inequality. Variation. Change for OS'l I in Argument. 1 Annual Equation. Evection. Change for OS- 1 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N. P. D. 5-3 O 0. . *- "= O li* e3 I KBVct of Mean Inclination. Change for 0?-1 in Argument. il O 2^, f z 1828. " " m " o / // a it e * V V* V V, t ' vv i A O 1 It II II g * V Nov. 15. 6.59. 17-9 339.32. 2-46 0-07 62-39 9.26 1.11 0.31 0.41 10 36-0 1.21 08 86.53. 6-41 8-14 58-27 6.91 1.73 9-1 18. 9.32.40-5 22.49.18-73 15-03 63-70 13.16 2.54 1.63 0.02 35 35-0 0.45 14 90.35. 9-92 18-22 51-70 11.02 1.89 7-7 19. 10. 24. 13-4 36.58. 8-91 10-94 57-97 13.79 2.28 2.33 0.15 44 34-8 0.26 17 91.49.37-05 43-97 53-08 12.39 1.83 8-8 21.12.10.59-3 64. 39. 33-94 32-29 61-65 13.85 1.76 3.94 0.72 54 34-3 0.03 25 93. 51. 27-01 30-46 56-55 14.61 1.57 12-6 22. 13. 3. 8-4 78. 6.17-00 11-80 65-20 13.32 1.54 4.76 1.05 52 34-0 0.00 30 94.32.21-74 26-15 55-59 15.34 1.40 15-2 23. 13. 54. 21-2 91.15.23-24 20-77 62-47 12. 46 1.34 5.56 1.32 46 33-8 0.03 34 94. 57. 48-56 51-78 56-78 15.78 1.20 18-0 24.14.44. 1-6 104. 6.46-45 63-32 (43-13) 11.35 1.18 6.27 1.48 37 33-2 0.11 39 95. 7.28-33 30-02 (58-31) 15.93 1.00 20-9 26. 16. 17. 52-4 129. 6. 17-79 4-72 73-07 8.57 1.00 7.34 1.40 17 32-7 0.45 46 94.42. 6-93 8-38 57-55 15.41 0.62 26-8 Dec. 1.19.55.24-8 190. 45. 57-59 48-56 69-03 1.62 1.33 7.12 0.11 21 31-3 1.80 52 90.24.61-97 55-29 66-68 10.54 0.10 38-1 11. 4. 3. 2-8 320. 17. 20-28 20-37 59-91 6.44 3.17 0.78 1.38 19 28-0 2.62 18 85. 53. 33-74 32-67 61-07 5.63 1.54 25-8 21. 12. 36. 11-6 98. 53. 29-65 20-09 69-56 12.08 1.27 4.30 0.88 54 24-4 0.22 18 94. 59. 23-95 25-25 58-70 15.92 1.06 8-4 23.14.11.57-2 124. 7.28-93 18-93 70-00 9.50 1.03 5.87 1.41 42 23-8 0.02 26 94. 40. 40-20 41-06 59-14 15.54 0.67 11-5 25. 15. 40. 55-1 148.40.21-57 9-60 71-97 6.47 0.97 7.09 1.47 22 22-8 0.04 36 93.30. 7-35 7-16 60-19 14.19 0.35 15-9 26. 16.23.40-1 160. 49. 38-46 22-73 75-73 4.96 1.01 7.49 1.30 14 22-5 0.14 40 92. 39. 40-92 40-91 60-01 13.24 0.24 18-7 27. 17. 6. 4-3 173. 0. 35-66 22-15 73-51 3.54 1. 10 7.72 1.04 09 22-1 0.30 44 91.41.43-20 44-19 59-01 12. 14 0.15 21-4 28. 17. 48. 53-4 185. 19. 16-85 5-26 71-59 2.29 1.23 7.77 0.73 07 21-8 0.50 47 90.38.26-73 23-61 63-12 10.93 0.11 24-2 30.19.19. 4-1 210. 45. 49-23 36-30 72-93 0.52 1.61 7.34 0.19 17 21-1 1.01 52 88. 25. 27-65 16-42 71-23 8.41 0.15 30-2 31.20. 8. 0-3 1829. 224. 5.56-52 52-61 63-91 0.10 1.85 6.87 0.07 26 20-8 1.30 53 87.21.40-02 30-14 69-88 7.21 0.24 32-9 Jan. 17. 10. 29. 4'8 94. 22. 58-58 51-02 67-56 12.70 1.38 2.28 0. 14 44 14-9 1.34 08 94. 59. 14-21 16-27 57-94 15.89 1.11 11-0 18.11.17.57-1 107. 3.29-83 25-36 64-47 11.65 1.22 3.06 0.30 51 14-2 1.06 09 94.59. 3-39 3-70 59-69 15.91 0.91 9-3 19. 12. 5. 25-3 119.34.46-41 40-33 66-08 10.37 1.09 3.88 0.70 54 13-9 0.80 10 94.44.21-32 21-06 60-26 15. 65 0.72 8-2 19.12. 7.32-5 119.35.50-45 44-64 65-81 10.37 1.09 3.88 0.70 54 13-9 0.79 10 94. 44. 19-87 19.31 60-56 15.65 0.72 8-2 Feb. 16.10.48.45-2 127.51.46-14 47-09 59-05 9.84 1.05 2.60 0.24 48 5-6 1.83 09 94. 28. 57-52 53-77 63-75 15.27 0.58 17-0 20. 13. 44. 23-5 176.41.30-49 30-99 59-50 3.88 1.07 5.82 1.40 43 4-6 0.73 11 91. 0.18-41 16-10 62-31 11.50 0.12 9-0 27. 19. 19. 30-9 267. 33. 38-78 17-80 (80-98) 0.94 2.56 7.37 0.20 16 3-0 0.09 38 84. 50. 54-94 51-78 (63'16) 4.62 0.82 13-3 Mar. 14. 7. 59. 40'7 111.26.34-00 42-26 51-74 11.92 1 1.25 0.55 0.18 15 0-9 2.82 28 95. 7.27-37 26-62 60-75 15.79 0.80 35-2 15. 8. 46. 14-4 123. 49. 20-17 19-52 60-65 10.69 1.12 0.97 0.03 24 0-8 2.76 23 94.44.11-93 8-91 63-02 15.38 0.61 329 16. 9. 31. 17-5 136. 4. 6-98 7-76 59-22 9.29 1.02 1.55 0.01 34 0-7 2.65 19 94. 8. 12-02 4-24 67-78 14.75 0.45 30-4 17.10.15. 8-1 148. 14. 59-83 56-14 63-69 7.80 0.98 2.23 0.13 43 0-6 2.48 15 S 93. 20. 62-91 54-93 67-98 13.91 0.31 27-8 Sub. Sub. Sub Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 60-00 s \ 7.02 2.00 4. 0( 0.76 30 20-8 1.42 \\ 30 60-00 10.21 1.00 23 X -7 [288] EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. ill ^ Excess of Observed Longitude. _u 2-1 tc 1 1 6.s Parallactic Inequality. Variation. Change for 0"' 1 1 in Argument. C II Evcction. Change for Os- 1 in Argument. Ecliptic N. P. D. of Moon's Center from Observation. Seconds of Tabular Ecliptic! N.P.D. Excess of Ob- served Ecliptic N.P.D. Effect of Mean Inclination. Change for (H"l 1 in Argument. c . c .2 a. 1829. *.! O f ff ft it g \ \ > > g v s * \\ o / // II a * . Mar. 18.10.58. 9-1 160.25. 11-06 6-12 64-97 6.26 0.98 3.00 0.37 50 0-5 2.28 12 92. 24. 47-9 39-74 68-17 12. 9C 0. 2 25-0 19.11.40.48-7 172. 37. 32-62 31-63 60-99 4.77 1.02 3.82 0.68 54 0-5 2.03 10 91.21.41-14 35-4- 65-72 11.76 0.1 21-9 21.13. 9.13-7 197. 20. 18-01 17-56 60-45 2.13 1.25 5.45 1.29 47 0-3 1.48 08 89. 5.36-15 31-42 64-73 9.30 0.1 16-5 24. 15. 29. 4-2 235.41.29-33 23-39 65-94 0.07 1.88 7.28 1.42 19 0-1 0.67 11 86. 2.52-4 48-24 64-17 5. 98 0.4 9-8 27.18. 7.20-6 276. 37. 68-46 55-94 72-52 1.29 2.66 7-74 0.60 08 0-1 0.12 21 84.42. 13-8S 5-4' 68-38 4.50 0.9 7-5 April 12. 7.27.42-3 131.41. 0-91 12-13 48-78 10.18 1.08 0.38 0.31 11 0-4 2.69 40 94. 22. 27-70 23-6 64-06 14.92 0.48 39-9 15. 9.37.59-6 168. 14. 65-96 59-34 66-62 5.68 0.99 1.83 0.05 38 0-7 2.81 26 91.44. 48-9S 41-55 67-44 12. Oo 0.15 36-7 16. 10. 20. 44-7 ISO. 31. 10-22 6-27 63-95 4.22 1.05 2.55 0.23 47 0-8 2.74 22 90. 38. 54-4a 42-17 72-28 10.84 0.10 34-9 17.11. 4.10-6 192. 56. 17-45 7-68 69-77 2.87 1.16 3.35 0.50 52 0-9 2.61 18 89. 30. 20-38 11-49 68-89 9.59 0. 10 32-4 18. 11.48.49-7 205. 32. 51-94 48-53 63-41 1.73 1.31 4.18 0.83 54 1-0 2.44 15 88. 22. 18-00 10-65 67-35 8.36 0. 15 29-7 19.12.37.21-3 20. 13. 25. 50-3 218. 24. 27-67 231.29.44-70 18-03 42-30 69-64 62-40 0.84 0.26 1.50 1.73 5.00 5.77 1.15 1.39 50 43 1-1 1-2 2.22 1.97 12 10 87. 17. 57-03 86. 20. 64-69 53-03 59-21 64-00 65-48 7- 20 0. 24 6.170.36 26-8 23-7 25. 17. 53. 7-4 JOO. 49. 43-19 44-03 59-16 2.97 2.95 7.78 0.77 07 1-9 0.60 12 85. 12. 16-06 11-28 64-78 5.01 1.37 9-8 May 11. 6.51. 3-4 151. 20. 36-56 48-63 47-93 8.17 0.98 0.29 0.46 09 4-8 2.16 49 92. 59. 63-76 55-52 68-24 13.43 0.26 37-5 13. 8.16.27-4 175. 42. 47-86 54-65 53-21 5.12 1.01 0.94 0.04 23 5-2 2.58 43 90. 59. 20-70 9-52 71-18 11. 17 0.11 39-7 14. 8.59.25-2 188. 2.27-88 27-78 60-10 3.70 .09 1.50 0.01 33 5-6 2.72 39 89. 52.51-62 40-01 71-61 9.94 0.10 40-0 16. 10.29. 18-9 213. 22. 28-89 27-46 61-43 1.36 1.38 2.94 0.34 50 6-1 2.83 30 87. 40. 70-65 59-56 71-09 7.51 0.21 39-1 17.11.17.22-9 226. 29. 17-00 15-98 61-02 0.58 1.58 3.76 0.65 54 6-3 2.80 25 86. 42. 27-08 17-77 69-31 6.43 0.33 37-7 18. 12. 10. 10-1 239.57. 679 1-71 65-08 0.13 .82 4.59 0.99 53 6-6 2.71 21 85. 53. 9-90 4-26 65-64 5.53 0.49 35-9 19. 13. 3. 8-2 253.42.52-15 44-78 67-37 0.04 2.08 5.40 1.27 48 6-8 2.57 17 85.17. 5-91 1-78 64-13 4.89 0.68 33-5 20. 13. 57. 56-0 267. 45. 45-47 27-89 77-58 0.36 2.34 6. 12 1.46 39 7-0 2.38 14 84.57.11-35 10-59 60-76 4.54 0.89 30-4 22. 15. 49. 22-8 296. 28. 50-62 35-68 74-94 2.15 2.83 7.25 1.43 19 7-8 1.89 09 85. 13. 18-00 18-S1 59-19 4.90 1.33 23-7 23. 16. 44. 18'2 311. 1.53-84 53-80 60-04 3.54 3.01 7.60 1.22 12 8-0 1.62 08 85. 49. 32-13 31-97 60-16 5.59 1.53 20-2 June 8. 5. 29. 10'6 158. 34. 34-90 34-26 60-64 7.60 .97 0.27 0.94 08 12-7 1.11 52 92.13.22-15 17-75 64-40 12.67 0.19 26-0 9. 6.11.42-9 170. 44. 16-86 24-58 52-28 6.06 .98 0.24 0.62 07 13-0 1.40 53 91. 12.39-36 29-54 69-82 11.53 0.12 29-0 10. 6.54.10-0 182. 56. 29-67 38-46 51-21 4.57 .03 0.37 0.33 11 13-3 1.69 52 90. 8.23-61 10-86 72-75 10.30 0. 10 31-6 11. 7. 37. 18-8 195. 17. 27-13 33-53 53-60 3.19 .13 0.69 0.11 18 13-6 1.97 51 89. 2.61-87 48-03 73-84 9.08 0.12 33-9 12. 8.21.54-6 207. 52. 51-77 62-39 49-38 1.99 .27 1.17 0.01 27 13-9 2.22 49 87. 59. 16-91 2-43 74-48 7.87 D.'lS 36-1 13. 9. 8.40-2 220.48. 2-00 11-01 50-99 1.03 .45 1.78 0.04 38 14-2 2.44 46 86. 59.69-15 56-48 72-67 6.76 3.28 37-9 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. 60-00 7.02 .00 4.00 0.76 30 208 1.42 30 60-00 0.21 LOO 23-7 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [289] Q Greenwich T j M " Ecliptic H. -a .2 ~ i) , Mean Solar Time of Longitude of s if C _fi *J "g 5 j> ts z 2 'o.'S C i- a & 1 if c _o ~ ?. 3x iJ HI w J Change for OS- 1 I in Argument. N s* u ^ . y w w 182!). '*. o / tf tf tf n * X V, X U * * \\ \ g * o / // rt /i g * X XX Oct. 9. 9.20.33-7 337.39.26-15 29-82 56-33 4.97 3.1-2 1.73 0.03 36 41-4 0.20 41 88. 6. 58-26 68-88 49-38 8.27 1.85 9-3 14. 14. 4. 18-1 55.23. 13-33 21-42 51-91 12.76 2.65 5.67 1.36 45 41-2 1.42 53 94. 24. 30-38 30-49 59-89 15.08 1.47 25-2 Nov. 6. 8. 3.13-7 346. 8. 13-88 20-82 53-06 5.62 3.15 0.84 0.06 21 38-0 0.04 25 88.58.12-24 20-50 51-74 9.24 1.89 8-4 7. 8. 56. 53-4 1. 15. 16-59 21-93 54-66 7.39 3.18 1.37 0.00 31 37-8 0.00 29 90.19.40-16 47-59 52-57 10.74 1.90 7-6 8. 9.51.19-5 16.34.21-26 29-52 51-74 9.12 3.12 2.03 0.09 41 37-4 0.02 34 91.40.31-89 42-54 49-35 12.24 1.84 7-5 10,11.43.29-8 47. 20. 36-27 46-52 49-75 12.07 2.80 3.58 0.60 53 37-0 0.24 43 93. 55. 19-79 23-51 56-28 14.70 1.56 10-1 15. 16.21.46-2 118.56.11-16 13-03 58-13 13.36 1.55 7.19 1.45 20 36-0 1.50 53 94. 19. 52-05 52-85 59-20 14.99 0.50 24-7 16. 17. 10. 16-0 131.52. 8-50 12-03 56-47 12.54 1.35 7.56 1.26 13 35-5 1.79 62 93.36.45-95 44-71 61-24 14.16 0.35 27-8 18.18.40. 17-3 156. 45. 46-29 49-97 56-32 10.14 1.07 7.75 0.67 08 35-0 2.31 48 91.44.58-00 49-39 68-61 12. 04 0.15 33-1 19. 19. 23. 2-2 168. 55. 48-10 49-56 58-54 8.69 1.00 7.60 0.38 11 34-8 2.51 44 90.41.38-34 20-77 77-57 10.84 0. 10 35-4 Dec. 6. 8.35. 7'8 25.20. 3-11 8-43 54-68 9.74 3.08 1.09 0.01 26 20-8 0.23 18 92. 32. 14-37 21-89 52-48 13.16 1.77 11-5 12. 14. 9. 46-6 112.37.14-69 12-77 61-92 13.72 1.69 5.62 1.35 45 27-7 0.29 44 94. 24. 39-83 35-97 63-86 15.24 0.57 10;1 13.15. 0.41-3 125. 59. 62-86 56-50 66-36 13.09 1.47 6.31 1.49 36 27-4 0.49 47 93.44.10-10 7-07 63-03 14.47 0.40 12-0 1830. Jan. 5. 9. 11. 16'8 04. 6.16-00 23-61 52-39 12. 88 2.62 1.37 0.00 31 19-1 0.57 12 94.48.44-55 47-55 57-00 15.63 1.29 16-5 7.11. 1.34-9 92. 32. 12-89 14-99 57-90 13.98 2. 10 2.77 0.29 49 18-5 0. 19 19 94.57.33-10 31-59 61-51 15.85 0.85 11-2 31. 6. 13.41-2 45. 20. 29-36 31-33 58-03 10. 92 2.97 0.22 0.70 07 10-3 2. 12 11 94.16.23-41 12-73 70-68 14.83 1.53 35-0 Feb. 1. 7. 7.12-8 59. 40. 16-40 23-05 53-35 12.24 2.77 0.33 0.39 10 10-0 1.86 09 94.52.11-31 15-66 55-65 15. 53 1.33 32-4 3. 8.55. 7-5 87.41.17-55 24-92 52-63 13.81 2. 27 1.05 0.02 25 9-2 1.29 08 95. 8.35-78 33-42 62-36 15.90 0.90 26-3 9. 13. 50. 33-8 166. 2. 6-60 2-36 64-24 9.96 1.06 5.56 1.33 46 7-3 0.05 24 90. 18.44-32 37-44 66-88 JlO. 71 0.10 10-0 11. 15.15.57-6 190. 30. 64-96 59-21 65-75 6.97 0.97 6.87 1.51 26 6-8 0.01 33 88. 6.28-93 25-11 63-82 8.28 0.15 7-8 12. 15.58.25-3 202. 39. 52-68 34-42 78-26 5.45 1.00 7.34 1.39 17 6-6 0. OS 38 87. 6.62-52 57-55 64-97 7. 19 0.24 7-4 Mar. 3. 7.44.55-8 97. 13. 11-28 16-89 54-39 13.94 2.16 0.44 0.27 12 2-6 2.29 13 95. 2.25-31 24-48 60-83 15.67 0.73 37-2 4. 8.36.46-5 110.35. 14-01 17-72 56-29 13.99 1.90 0.81 0.07 20 2-4 2.05 10 94.31.50-67 46-86 63-81 15. 13 0.54 35-0 5. 9.26.44-5 123. 39. 47-61 61-60 46-01 13.66 1.66 1.33 0.00 30 2-1 1.78 09 93. 47. 40-73 31-77 68-96 14.33 0.38 32-7 6.10.14.43-8 136. 29. 47-62 49-61 58-01 12.98 1.44 1.9S 0.07 40 1-9 1.50 08 92.52.41-67 33-84 67-83 13.34 0.25 29-9 7.11. 0.47-9 149. 7. 1-92 0-86 61-06 12.01 1.26 2.71 0.27 48 1-8 1.22 08 91. 49. 65-95 59-33 66-62 12.21 0. 16 27-0 8. 11.45.14-3 161. 33. 53-07 51-71 61-36 10.80 1.13 3.52 0.56 53 1-7 0.94 09 90. 42. 69-79 58-33 71-46 11.00 0.11 24-2 12. 14.38.20-7 210.26.19-10 13-02 65-48 4.88 1.02 6.58 1.51 32 1:1 0. 12 21 86. 30. 42-55 37-65 64-90 6.45 0. 32 13-5 13.15.22. 9-4 222.39.31-26 16-37 74-89 3.47 1. 11 7.12 1.47 22 1-0 0.03 25 85. 44. 48-46 46-17 62-29 5.62 0.47 11-5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub. Sub. 6(7-00 x o *^ 11 W g Change for OS- 1 1 in Argument. Parallactic Inequality. Variation. Change for Os-1 1 in Argument. Annual Equation. Evection. Change for OS') in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Ecliptic N.P.D. 1 2 Id e: W . 8lz Is Effect of Mean Inclination. Change for 05-1 in Argument. 1* .Sft. U *7 oj /^ WH 1830. d " '" " o / a // e ' V \ v\ g \\ e - / II n tf i? x \ \\ > July 27. 5.47.24-7 212.47. 4-87 0-43 04-44 6.56 0.97 0.23 0. 76 07 29-2 1.24 52 85.54.11-65 6-92 64-73 5.78 0.43 10-2 28. 6. 31. 14-2 225. 2.16-64 16-27 00-37 5.04 1.01 0.29 0.45 09 29-5 1.53 53 85. 18. 04-07 56-06 68-01 5. 12 0.59 12-2 29. 7. 16. 38-3 237.26. 7-47 11-91 55-56 3.62 1.09 0.53 0. IS 15 29-8 1.81 52 84. 50. 30-37 24-01 66-36 4.68 0.78 14-3 30. 8. 4. 3-2 250. 3.45-32 47-90 57-42 2.35 1.22 0.94 0. 03 23 30-3 2.09 49 84.48. 5-49 1-09 64-41 4.50 0.97 17-0 31. 8.53.39-2 202.59. 8-75 11-40 57-29 1.30 1.39 1.50 0.01 33 30-6 2.33 47 84.55. 3-36 4-07 59-29 4.60 1.17 19-9 Aug. 2.10.38.27-8 289. 52. 50-73 46-71 64-02 0.11 1.84 2.94 0. 36 50 31-2 2.69 40 85. 58. 5-33 5-93 59-40 5.71 1.55 26-3 4. 12.28.47-1 318. 9.37-91 44-94 52-97 0.39 2.36 4.59 1.00 53 31-7 2.83 31 88. 1. 0-96 3-77 57-19 7.93 1.83 32-7 5. 13. 22. 24-1 332.41.44-08 39-60 64-48 1.13 2.61 5.40 1.28 47 32-0 2.82 20 89. 17. 50-07 51-05 59-02 9.33 1.89 35-4 11.18.41.20-9 61.17.60-94 56-85 64-09 10.41 3.02 7.74 0.60 08 33-8 1.69 08 95.11. 5-14 6-90 58-24 15.85 1. 15 37-6 26. 5.56. 5-2 244.42.48-56 44-01 64-55 3. 12 1.14 0.24 0.61 08 37-4 0.75 50 84. 44. 20-47 14-85 05-62 4.52 0.91 7-5 28. 7.33.48-7 270. 12. 59-71 62-24 57-47 0.98 1.46 0.72 0.10 18 37-8 1.31 53 85. 1.37-22 37-12 60-10 4.84 1.30 9-2 29. 8.25.33-3 283. 29. 32-33 33-37 58-96 0.34 1.68 1.21 0.00 28 38-0 1.60 52 85. 34. 13-20 18-13 55-07 5.43 1.49 108 30. 9. 18. 43-8 297. 11. 3-31 6-73 56-58 0.04 1.93 1.83 0.04 38 38-3 1.89 51 86. 22. 50-07 53-61 56-46 6.30 1.66 13-1 31.10.12.46-0 311.18.33-67 39-15 54-52 0.13 2.19 2.55 0.22 47 38-5 2. 15 49 87.25.53-12 60-07 53-05 7.45 1.79 16-1 Sep. 1.11. 7. 6-8 325. 50. 49-63 54-74 54-89 0.62 2.46 3.35 0.50 52 38-7 2.39 46 88. 40. 38-76 43-84 54-92 8.80 1.87 19-4 5. 14.46.16-1 26. 30. 27-87 25-42 62-45 5.92 3.16 6.45 1.51 34 39-3 2.83 30 93. 49. 29-28 28-25 61-03 14.38 1.62 33-5 8. 17. 32. 44-2 71.26.61-33 52-42 68-91 10.98 2.96 7.70 1.08 09 39-8 2.57 17 95. 17. 15-02 17-27 57-75 15.93 0.97 39-5 11. 20. 17. 29-2 113.44.48-26 45-97 62-29 13. 83 2.26 7.37 0.21 16 40-2 1.89 09 93. 50. 42-35 32-89 69-40 14.32 0.37 38-9 25. 6. 14. 55-7 277. 39. 11-79 21-54 50-25 0.70 1.54 0.28 0.47 09 41-4 0.35 45 85.20.25-89 30-64 55-25 5.20 1.43 8-7 26. 7. 6. 9-3 290.49.23-10 26-01 57-09 0.18 1.77 0.51 0.21 14 41-5 0.57 48 86. 0. 57-55 60-76 56-79 5.96 1.60 7-7 30. 10. 39. 27-8 348. 3. 19-36 30-57 48-79 1.92 2.79 2.88 0.34 50 41-6 1.08 52 90. 43. 17-65 25-28 52-37 11.16 1.89 10-8 Oct. 2.12.31.58-4 19. 8.59-81 05-04 54-17 4.85 3. 12 4.59 0.98 53 41-6 2.22 49 93. 17. 37-50 38-43 59-07 13.95 1.68 16-8 4. 14. 25. 52-1 50.32.36-21 38-04 58-17 8.35 3.15 6. 12 1.46 39 41-6 2.02 42 94. 54. 46-30 46-57 59-73 15. 66 1.27 24-2 5. 15.23.53-6 65. 55. 25-65 30-71 48-94 10.03 3.06 6.75 1.52 29 41-6 2.75 38 95. 11. 37-34 35-51 61-83 15.93 1.04 28-0 0. 16. 21. 50-4 80.55. 13-19 20-55 52-64 11.51 2.89 7.25 1.43 19 41-6 2. 82 33 95. 6.30-34 30-50 59-78 15.80 0.80 31-3 26. 7.31.48-2 326. 1. 15-61 17 '23 58-38 0.46 2.39 0.69 0. 11 18 39-9 0.23 42 88.51.47-13 54-52 52-61 9.10 1.88 10-7 29. 10. 11. 15-7 10.37. 9-36 12-08 56-68 3.83 3.04 2.49 0.21 46 39-5 0.89 51 92.41.41-06 44-71 56-35 13.38 1.75 7-4 30.11. 7. 7-7 26. 21. 10-25 22-85 47-40 5.48 3. 15 3.29 0.48 52 39-4 1.18 52 93. 45. 47-45 50-88 56-57 14.56 K58 8-0 31.12. 7.13-5 42. 19.36-12 38-30 57-82 7.26 3.18 4.12 0.81 54 39-1 1..47 53 94. 33. 15-48 16-25 59-23 15.41 1.37 9'4 Sub. 60"-00 Sub. 7.02 Sub. Sub. Sub. s \ 0. 76 Sub. 30 Sub. 20-8 Sub. \ 1.42 Sub. 30 Sub. 10-00 Sub. 10.21 Sub. 1. 00 Sub. 23-7 2.00' 4. 00 SECT. III. COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [293] u Greenwich Mean Solar Time of Observation of Moon's Limb. Longitude of Moon's Center from Observation. Seconds of Tabular Longitude. Excess of Observed Longitude. & -S-l =3 0- |J Change for Os-] in Argument. Parallactic Inequality. Variation. Change for OS-] in Argument. Annual Equation. Evection. Change for Os-1 in Argument. Ecliptic N.P.D. of Moon's Center from Observation. Seconds of Tabular Eclipti N.P.D. i-a Sid il X '- 3 % Effect of Mean Inclination. Change forfls-1 in Argument. Evectiou in E. N. P. D. 1830. (i h m s O t /t n n s ' \ \\ , vv a " \\ g ' \\ ' n // it e v \ Nov. 4. 1(5. 4. 59-4 104. 5. 14-00 32-27 41-73 13.05 2.58 7,02 1.49 24 38-4 2.50 45 94. 6. 3-03 1-25 61-78 14.76 0.46 21-7 7.18.41.40-1 145. 12. 16-22 17-00 59-22 13.89 1.80 7.78 ! 0.78 07 37-6 2.83 32 91. 6.61-18 52-97 68-21 11.34 0.12 31-1 8. 19. 27. 58-7 158. 2. 4-64 5-07 59-57 13. 42 1.57 7.67 0.47 09 37-4 2.82 27 89.59. 9-39 1-22 68-17 10.06 0.10 33-7 22. 5.25.10-4 320.46.51-98 65-36 46-62 0.17 2.23 0.24 0.80 07 34-3 0. 11 21 88. 40. 16-58 18-92 57-66 1 8.73 1.87 25-5 23. 6. 15. 17-4 334. 28. 28-61 34-73 53-88 0.71 2.49 0.27 0.49 09 34-0 0.03 26 89.51.44-52 48-82 55-70 10.09 1.90 22-2 24. 7. 5.47-8 348.35.20-15 28-33 51-82 1.63 2.73 0.48 0.22 14 33-5 0.00 30 91. 5.50-25 57-27 52-98 11.49 1.88 18-9 27. 9.45.26-7 33. 42. 58-16 72-21 45-95 6.14 3.17 2. 13 0.10 42 32-7 0.27 43 94. 14. 53-24 56-46 56-78 15.07 1.47 10-2 Dec. 22. 5.51.32-5 357. 53. 39-74 48-41 51-33 2.07 2.82 0.23 0.65 07 24-4 0.38 15 92. 8.42-11 45-42 56-69 12.52 1.82 31-8 23. 6.41.54-1 12.15.47-16 52-29 54-87 3.45 3.00 0.35 0.35 10 24-1 0.21 18 93. 13. 27-17 30-60 56-57 13.75 1.71 28-7 24. 7.33.49-4 26. 59. 44-52 55-46 49-06 5.06 3.13 0.66 0. 12 17 23-8 0.08 23 94. 7. 2-78 9-71 53-07 14.78 1.54 25-2 25. 8.28. 0-2 42. 4.37-71 49-89 47-82 6.81 3.18 1.13 0.01 27 23-1 0.01 27 94.45. 3-68 3-87 59-81 15.52 1.33 21-4 26. 9.24.47-3 57.26. 3-76 18-03 45-73 8.56 3.15 1.73 0.03 37 22-8 0.00 32 95. 3.21-93 20-99 60-94 15.90 1.10 17-7 30.13.26. 0-0 118.39.41-60 37-90 63-70 13.59 2.38 4.94 1. 12 51 21-5 0.53 48 92. 49. 26-63 22-55 64-08 13.51 0.26 8-1 31. 14. 21. 29-7 133. 6.44-52 41-86 62-66 13.97 2.12 5.72 1.37 44 21-1 0.78 50 91.40.11-10 8-84 62-26 12.23 0. 16 7'5 Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub. Sub Sub. Sub. Sub Sub. 60-00 7.02 2. 00 4. 00 6.76 30 20-8 f \ 1.42 n 30 6o"-00 f \ 10.21 \ \\ 1.00 23-7 1 ROYAL OBSERVATORY, GREENWICH. REDUCTION OBSERVATIONS OF THE MOON, From 1750 to 1830. SECTION IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION ON THOSE DAYS ON WHICH THERE IS NO SATISFACTORY OBSERVATION OF NORTH POLAR DISTANCE. [296] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation Excess of Observed R. A. 23. 27'. d h in I o / // O ' // // h m s s s 1750. Sep. 26.21.37.52-0 149.45. 2-11 94. 29. 40-07 77-36 10. 1. 4-02 345 59-43 Dec. 31. 2.20.35-8 314. 3.24-19 85. 50. 27-09 75-35 21. 1.11-71 11-14 59-43 1751. Jan. 23.21.38.45-4 267. 55. 56-36 89. 23. 47-81 75-44 17.51. 1-50 1-32 59-82 Feb. 3. 6.14.47-9 50.42. 8-77 87. 27. 26-97 75-55 3. 10. 9-66 9-14 59-48 19. 19. 27. 26-2 262. 7.56-30 89. 43. 28-27 75-70 17. 25. 48-12 48-09 59-97 Apr. 18.18.31.25-5 303. 13. 24-70 86. 3.25-17 75-16 20.18.19-61 19-87 60-26 June 2. 7.19.22-8 183. 13. 50-79 94. 57. 37-32 73-97 12. 3.55-88 56-00 60-12 20.22. 6.24-9 62. 47. 32-34 89. 5.39-00 73-68 4. 2. 9-82 10-25 60-43 July 18.20.54. 8'1 71.34. 5-80 89. 57. 56-10 73-64 4.40. 6-55 5-68 59-13 19. 21. 55. 37-8 86.41.20-17 91. 18. 59-70 73-66 5. 45. 42-40 42-22 59-82 Aug. 16.20.45. 6-4 95. 55. 41-75 92. 13. 21-34 73-92 6. 25. 24-46 24-23 59-77 26. 4. 0.25-2 218. 8. 5-86 92. 33. 31-45 74-00 14. 19. 35-02 34-80 59-78 Sep. 13.19.36.32-1 105. 48. 46-99 93.10. 3-96 74-03 7. 7. 3-45 3-71 60-26 14. 20. 30. 39-2 120. 1.47-72 94. 2. 6-35 74-03 8. 5.18-45 17-89 59-44 Nov. 12.20.21.50-2 179. 7.10-54 94. 46. 20-61 72-83 11.49. 9-37 9-47 60-10 13.21. 5.32-7 191.49.51-65 94. 9.28-15 72-80 12. 36. 56-03 55-73 59-70 14.21.49.41-8 204.21. 4-49 93.21. 6-57 72-77 13.25. 7-98 8-29 60-31 1752. Feb. 9. 20. 19. 46'3 264. 51. 29-26 87.53. 9-56 72-20 17. 37. 56-49 55-81 59-32 Mar. H.21.22.49'6 309. 43. 53-65 85. 9.31-07 72-47 20. 43. 24-46 23-94 59-48 May 15. 1. 43.47'3 80. 33. 50-00 92.20. 8-28 71-20 5. 19. 37-82 37-53 59-71 18. 4.42. 0-5 126.25.29-12 95. 2. 9-26 71-11 8.30. 5-55 5-21 59-66 June 2.16.34.10-1 319. 32. 49-74 84. 45. 27-51 70-77 21.21.12-61 12-41 59-80 4. 18. 2. 53-3 345.14.29-18 85. 5.11-67 70-73 22.58. 3-52 2-76 59-24 14. 2.29.43-0 119.50.36-46 94. 45. 30-49 70-59 8. 3.55-72 54-93 59-21 July 5. 19. 10. 51-2 34.55.52-18 88. 23. 16-67 70-47 2. 8.20-74 20-10 59-36 8. 22. 8. 9-8 80. 9. 13-10 92. 19. 37-83 70-47 5. 17.52-70 52-68 59-98 Aug. 3. 18. 53. 46-2 58. 27. 53-77 90. 40. 44-06 70-68 3. 45. 30-52 30-28 59-76 Sep. 3.20.41.25-6 112.53.29-69 94. 35. 37-22 70-97 7. 35. 40-50 40-65 60-15 18. 8.19.29-3 302. 8. 8-60 85. 2.37-16 70-97 20. 13. 0-38 0-92 60-54 Oct. 11. 3. 1.20-2 247.37.48-24 88. 1.20-01 7069 16. 24. 42-60 42-35 59-69 Sub. 6o'-00 SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [297] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E.N. P.O. of Moon's Center. Tabular Obliquity of Ecliptic. lesulting Tabular R.A. of Moon's Center. Seconds of R.A. of Moon's Center rom Observation. Excess of Observed R. A. 23. 27'. d h ra i o / H O ' H h in 5 t , 1752. Nov. 1.20.50.57-7 175.44. 7-77 94. 1.53-22 70-17 11.37.56-51 56-42 59-91 2.21.39. 4-3 189.32. 7-51 93. 5.57-10 70-14 12.30. 7-62 7-63 60-01 11. 4. 6. 3-0 291.59. 4-51 85. 8.35-72 69-92 19.31.46-11 47-03 60-92 1753. Jan. 20.13.39. 0-9 144.22.28-59 94.53.21-65 69-22 9.40. 9-01 8-76 59-75 Feb. 17.12.13.39-1 17. 12. 15. 58-2 151.25.56-57 151. 27. 24-08 94. 38. 20-06 94.38.17-08 69-57 69-57 10. 7.11-56 10. 7. 17-11 10-73 16-38 59-17 59-27 May 8. 4.51.20-7 118.44.34-29 95. 13. 44-34 68-73 7.59. 4-67 4-43 59-76 July 2. 1.28. 3-5 121.55.45-35 95. 2.32-81 67-92 8.12. 6-84 5-81 59-97 26.21.10.15-8 82. 52. 45-77 93.56.21-71 68-10 5. 29. 52-54 51-63 59-09 Aug. 24. 20. 53. 17-7 106. 3.21-01 94. 58. 32-99 68-48 7. 7.11-54 11-07 59-53 25.21.52.32-2 121.33.13-36 95. 5.13-29 68-49 8. 10. 32-77 32-03 59-26 Sep. 21.19.38.54-1 114.47.17-93 95. 13. 23-66 68-53 7. 42. 60-39 59-86 59-47 Oct. 28. 1.34.57-3 242. 29. 13-37 86.55. 6-53 68-02 16. 4. 11-18 11-33 60-15 30. 3.20.28-1 269. 29. 28-43 85. 18. 31-28 67-97 17.57.51-46 51-13 59-67 Nov. 21. 21.38. 3-6 207.42.19-19 89. 53. 55-47 67-41 13.43. 1-59 1-51 59-92 1754. Jan. 26. 2.24. 3-2 341.49. 10-09 86. 51. 32-95 67-23 22.48. 8-44 8-41 59-97 Feb. 1. 6.52. 2-7 56. 43. 26"29 93. 2. 0-36 67-31 3.40.36-11 36-69 60-58 18.22.11.54-1 300.53. 4-84 84.59.51-82 67-59 20. 7.55-51 54-45 58-94 Apr. 14. 18. 51. 34-6 304. 52. 23-06 84. 56. 38-65 67-43 20.23.53-14 52-36 59-22 May 17.21. 6.55-8 13.38.51-10 89. 41. 26-02 66-70 0. 49. 44-41 43-93 59-52 18.21.51.11-3 26. 6.46-52 90.49. 5-13 66-68 1.38. 2-66 2-37 59-71 June 11. 17. 37. 13-4 344. 16. 47-76 87.22.51-38 66-32 22.68. 2-78 2-46 59-68 13.19. 1.53-6 8.38.21-79 89. 25. 12-98 66-30 0. 30. 49-21 48-54 59-33 Aug. 11.18.37.35-3 61. 1.43-01 94. 0.53-77 66-75 3.58.59-11 58-79 59-68 14.21. 17.50-7 102. 17. 28-06 95. 8. 17-99 66-80 6.51.27-70 26-61 58-91 Sep. 12.20.54.48-2 124. 29. 49-52 94. 44. 47-54 67-12 8. 22. 40-83 40-49 59-66 Oct. 20. 4. 0.58-1 269. 33. 22-24 84.47.28-18 66-82 17.58. 8-29 6-64 58-35 25. 8. 3.54-5 334. 32. 23-77 87. 3.20-95 66-71 22.21.18-00 18-95 60-95 Nov. 8. 19. 14. 54-4 156. 3.21-10 92.45. 4-03 66-40 10. 27. 15-88 15-69 59-81 11.21.56.18-5 201.24. 5-36 88.47.38-82 66-33 13. 20. 55-03 54-38 59-35 Sub. 6o'-00 1 GREENWICH LUNAR REDUCTIONS. 2[Q] [298] REDUCTION or GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E.N. P.O. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. d h in 8 o / // o ' " tr h in i i 1754. Dec. 10.21.35.18-9 225. 3. 20-66 86.48. 1-28 65-84 14. 54. 11-69 11-16 59-47 1755. Jan. 15. 2.30.34-1 331. 28. 57-30 87. 27. 35-88 65-94 22. 10. 22-28 22-54 60-26 Feb. 25.11.35.47-1 148. 29. 51-85 92. 42. 23-94 66-64 9. 58. 49-15 49-28 60-13 Mar. 17. 3.26.22-8 48. 2. 2-30 93.59. 9-28 66-78 3. 6.49-82 49-94 60-12 Apr. 16. 3. 44. 10-2 81.10. 7-73 95. 10. 48-50 66-53 5. 22. 59-62 59-22 59-60 Aug. 27. 16. 35. 2-6 45.44.58-92 94. 20. 38-74 66-49 2. 58. 15-80 16-27 60-47 Sep. 2.21.28. 8-4 122.34.54-67 93. 54. 48-36 66-53 8.15.45-66 45-01 59-35 Oct. 10. 4.24.46-0 265. 37. 10-30 84. 47. 28-66 66-61 17.41.37-85 36-75 58-90 21.13.11.38-2 48. 59. 59-24 94. 26. 14-04 66-45 3.11. 8-65 8-94 60-29 Nor. 30. 21.51.22-6 218. 34. 16-97 86. 2.31-45 65-74 14. 29. 54-99 53-71 58-72 1756. Jan. 5. 3. 16. 19-2 332. 19. 26-05 89. 5.23-35 65-70 22. 15. 54-37 54-51 60-14 Mar. 15. 11.36.53-0 167. 12. 41-77 89.25.47-91 66-86 11.13.50-87 50-08 59-21 Apr. 23.20.26.18-1 337. 27. 55-20 89. 48. 10-08 66-59 22. 36. 21 -35 20-90 59-55 May 31. 1.57.35-3 98.39. 1-91 94.12. 8-01 66-01 6. 36. 30-69 30-16 59-47 June 1. 2.45.31-8 110. 59. 40-64 93. 31. 20-39 66-00 7.28.31-83 31-17 59-34 July 13.14. 3.20-0 320. 50. 36-15 88.57.45-84 66-13 21.31.36-31 36-48 60-17 Aug. 4. 6.49.29-7 237. 26. 24-48 84. 45. 37-79 66-55 15.45.32-89 32-91 60-02 20. 20. 34. 58-5 98. 6.29-91 94. 15. 49-21 66-90 6. 34. 12-76 12-30 59-54 Sep. 5. 9.32.21-8 306.56. 3-09 87.46.26-21 67-18 20.35. 0-16 1-93 61-77 Oct. 14.17. 7.54-4 100. 16. 15-96 93.56. 7-25 67-23 6. 44. 24-89 24-85 59-96 16.18.43.22-3 124. 57. 28-56 92. 12. 3-36 67-21 8.27. 1-93 1-57 59-64 Nov. 12. 16. 36. 56-5 120. 0.53-45 92. 20. 13-50 66-80 8. 6.43-53 42-18 58-65 Dec. 13.17.37.42-2 165. 36.20-19 88. 9.40-32 66-47 11. 9.53-09 51-96 58-87 14.18.23.46-0 178. 44. 52-22 87. 7. 30-40 66-47 11.59.59-37 59-41 60-04 1757. Jan. 16.21.29.21-3 259.33. 6-75 85. 19. 25-31 66-82 17. 16. 4-70 3-67 58-97 26. 5.44.23-7 33. 2.22-86 94. 58. 22-33 67-02 2. 10. 8-38 7-92 59-54 Feb. 12. 19. 16. 36-5 253. 7.54-36 85. 2.23-87 67-43 16. 49. 25-74 25-88 60-14 13.20.15. 8^1 268. 6. 53-30 85.41. 18-04 67-46 17.52. 2-41 2-37 69-96 28. 8.18.25-0 102. 54. 16-03 93.22. 2-07 67-76 6. 54. 43-09 41-84 58-75 Mar. 13. 19. 6. 10-7 277.51.29-09 86. 20. 45-86 67-93 18. 33. 18-49 17-63 59-14 Sub. 60-00 1756. October 14. The printed time of Transit is diminished l m . SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [299] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation. Excess of Observed R.A. 23". 27'. d h m s Off/ Of" // h m & i s 1757. July 12.21.51.42-0 79.40. 6-55 94. 14. 32-22 67-48 5. 16. 25-72 25-25 59-53 Sep. 29.13.55. 11'6 38.13. 4-47 95. 5.22-19 68-86 2.30. 0-93 3-17 62-24 Nov. 7.21.15.30-0 185. 5.48-38 85. 47. 33-97 68-48 12. 25. 23-20 22-51 59-31 Dec. 3. 18. 24. 35'4 166. 44. 18-40 86. 37. 45-27 68-18 11. 16. 30-41 30-92 60-51 14. 3.10.48-8 308. 54. 27-01 90. 21. 22-39 68-14 20. 45. 46-42 46-06 59-64 28. 14.51.48-5 137. 35. 22-09 88.48. 3-35 68-23 9. 21.41-43 41-68 60-25 1758. Jan. 6.21.50.32'8 255. 3. 3-21 85. 59. 46-54 68-37 16. 56. 57-82 56-97 59-15 Feb. 11. 3.20.14-3 10.55.46-13 94. 50. 30-39 69-19 0. 47. 45-92 45-76 59-84 23. 13. 2.51-1 165. 53. 53-44 86. 31. 23-91 69-49 11. 13. 33-15 371-57 (398-42) Mar. 3. 19. 16. 4'6 270. 39. 43-08 87. 10. 12-82 69-64 18. 2.49-56 50-22 60-66 24. 12. 22. 36-8 186.31.45-33 85. 26. 43-79 69-85 12.31. 11-10 10-99 59-89 May 2.20.41.28-1 348.49.51-38 93. 52. 59-33 69-57 23.25. 4-82 3-89 59-07 10. 2.43.34-9 89. 31. 34-95 92. 22. 42-96 69-48 5. 57. 58-27 57-71 59-44 11. 3.35.44-4 102. 35. 18-53 91.18. 9-58 69-46 6. 54. 12-20 11-75 59-55 June 9. 3. 7.19-0 122.34. 4-58 89. 22. 15-75 69-22 8.20. 0-90 0-41 59-51 27. 18. 17. 20-3 9. 5.33-85 95. 3. 6-12 69-31 0.41.21-67 20-95 59-28 July 17. 9.23.46-8 257. 36. 16-88 86. 45. 48-12 69-62 17. 7.22-74 23-11 60-37 22. 14. 25. 2-0 333. 35. 14-33 93. 17. 7-91 69-73 22. 26. 55-00 54-62 59-62 29.20.24.11-9 74. 34. 29-22 93. 26. 56-00 69-91 4. 54. 42-50 42-39 59-89 Aug. 8. 3.24. 9-8 186.56.38-90 85. 0.52-12 70-14 12. 33. 23-22 22-65 59-43 25.18.20.44-3 70. 24. 12-24 93. 37. 55-67 70-58 4. 37. 21-32 21-14 59-82 27.20. 3.46-9 96.38. 7-35 91.36.44-84 70-63 6. 28. 33-79 34-07 60-28 Sep. 6. 2. 46. 16-2 207. 34. 30-07 84. 53. 69-21 70-80 13.49.44-44 43-63 59-19 Nov. 17.14.28.53-9 93. 42. 34-20 91.11.26-26 70-59 6.16. 1-64 1-23 59-59 18.15.23.25-9 107. 12.52-59 89.59.21-41 70-57 7. 14. 39-62 39-65 60-03 Dec. 23. 19. 17. 37'3 201. 34. 22-34 84.45. 7-69 70-47 13.27.36-11 35-76 59-65 1759. Jan. 2. 3. 7. 29'5 325. 38. 19-75 93. 22. 45-65 70-59 21.56.22-17 21-67 59-50 5. 5.44.18-3 10. 5.50-37 95.15.41-33 70-65 0.45.22-31 22-90 60-59 23. 20. 10. 34-3 246. 57. 25-96 86. 40. 58-95 71-05 16. 22. 49-61 49-55 59-94 Mar. 22. 19.23. 10-8 289. 17. 13-46 90. 36. 45-47 72-23 19. 23. 54-32 54-82 60-50 Sub. 60-00 2[Q]2 [300] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A. of Moon's Center. Seconds of R.A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. d h m s o / " o / H // h m s i s 1759. Apr. 1. 3.42.40-3 66. 58. 11-67 92.49.53-69 72-26 4. 22. 32-58 32-20 59-62 3. 5.34.35-8 95.13. 1-39 90.31. 13-10 72-25 6. 22. 38-96 38-77 59-81 4. 6. 28. 55-3 108. 36. 50-49 89. 20. 29-52 72-25 7.21. 2-57 2-66 60-09 19. 18. 10. 59-4 298. 1.47-07 91.37.37-24 72-15 20. 1.55-62 55-71 60-09 20. 19. 6. 28-4 312. 5.37-03 92. 44. 46-60 72-13 21. 1.30-74 30-38 59-64 30. 3.21.52-3 89. 5. 4-30 90. 49. 36-10 72-03 5.56. 1-96 1-77 59-81 May 16.16. 6.42'8 293.47. 3-96 91.28. 2-63 71-82 19. 43. 45-08 45-96 60-88 July 18.19.48.24-9 55. 5.58-21 93.29.36-61 72-13 3. 34. 28-73 28-27 59-54 19.20.42.59-9 69. 34. 24-96 92. 23. 59-84 72-15 4.33. 8-10 7-76 59-66 20.21.39.23-4 83. 53. 30-35 91. 10. 3-44 72-17 5. 33. 36-90 36-27 59-37 Aug. 17.20.30. 8-6 93. 20. 47-75 90. 13. 14-15 72-89 6. 14. 33-98 34-04 60-06 26. 2.50.54-2 196.56.24-16 85. 2.13-93 73-09 13. 10. 3-02 2-12 59-10 Sep. 16.21. 8.39-0 129.35. 1-16 87. 1.41-39 73-47 8. 51. 30-58 30-41 59-83 Oct. 24. 2.21.23-5 249. 40. 36-62 88. 18. 38-20 73-43 16.33. 7-39 7-58 60-19 Nov. 10. 17. 51. 21-7 134. 0.51-78 86.17. 2-01 73-21 9.10.31-30 30-84 59-54 15. 21. 29. 47-0 196. 46. 45-85 85. 5.26-38 73-14 13. 9.22-59 21-42 58-83 Dec. 15.21.31.57-2 228. 58. 24-83 86.41.52-31 72-96 15. 9.46-87 46-66 59-79 23. 3. 24. 36-8 319. 28. 33-62 94.10.11-47 73-02 21.33. 7-51 7-21 59-70 1760. Feb. 3. 14. 33. 36-9 168. 56. 37-35 84.55.21-64 73-87 11.27.24-45 24-75 60-30 5. 15. 58. 41-0 194. 25. 39-24 85. 8. 9-33 73-92 13. 0.38-86 37-87 59-01 8. 18. 4. 10-6 231. 12. 22-58 87. 4. 12-41 74-00 15. 18. 16-16 16-14 59-98 10. 19. 36. 37-8 255. 49. 19-27 89. 5.37-06 74-07 16.58.49-15 48-59 59-44 20. 3.26. 2-5 21.44.51-23 94.31. 2-69 74-30 1.27. 9-78 9-22 59-44 26. 8.57.38-4 108.57.33-13 87. 55. 46-73 74-43 7. 23. 23-70 22-91 59-21 Mar. 10. 19. 8. 10-9 275.35.41-84 91. 5.18-78 74-69 18.24.35-17 35-16 59-99 25. 7.50. 1-3 118.40.57-31 86.58. 6-32 74-80 8. 5.56-90 57-32 60-42 26. 8.43.48-9 132. 18.58-87 86. 6.16-89 74-81 9. 3.49-27 48-30 59-03 Apr. 7.17.51.31-0 283. 10. 8-84 91. 59. 22-67 74-79 18.58. 6-19 6-20 60-01 May 11.21.40.36-3 14. 49. 51-48 94. 41. 38-76 74-45 1. 1.52-18 52-50 60-32 22. 7. 3.21-4 163.35. 0-26 84. 44. 58-72 74-33 11. 7.43-93 43-78 59-85 Sub. 60-00 1760. February 10. The printed time of Transit is diminished l h . SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR EIGHT ASCENSION. [301] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E.N. P.O. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A of Moon's Center. Seconds of R. A. of Moon's Center from Observation Excess of Observed R. A. 23. 27'. d h m s O ' '/ o / " tt h m s 9 s 1760. June 17. 4. 8.29-2 144. 44. 22-60 85. 9. 4-92 74"24 9. 54. 56-81 57-35 60-54 Ijuly 7. 19. 56. 3'4 47. 7. 0-61 92.42. 7-06 74-46 3. 1.44-37 44-48 60-11 15. 2.47.24-8 152. 9.37-05 85. 0. 3-10 74-60 10.24. 2-26 2-34 60-08 17. 4.20.34-2 179.13.26-47 84. 54. 46-68 74-65 12. 5.16-69 16-23 59-54 21. 7. 8.59-8 229.14.47-39 87.31.35-28 74-74 15. 9.56-56 55-63 59-07 28. 12. 59. 21-6 317.46.51-83 94. 27. 18-42 74-90 21.26.42-73 43-98 61-25 Aug. 20. 7.21.18-6 260.59.13-21 90. 28. 32-53 75-48 17. 20. 36-95 36-67 59-72 26.12.32. 3-1 339.57. 2-58 94. 59. 44-62 75-62 22.53.41-36 41-97 60-61 Sep. 13. 2.57.46-3 219.13.14-12 87. 12. 29-94 75-94 14.30.55-14 54-41 59-27 15. 4.26.19-8 243. 45. 44-41 89. 12. 44-48 75-97 16. 7.37-78 37-65 59-87 Nov. 21.10.55.27-4 47. 24. 40-84 91. 58. 33-65 75-57 3. 2. 4-12 4-54 60-42 22. 1 1. 54. 20-0 63.11.55-78 90. 33. 43-09 75-55 4. 5. 5-35 5-65 60-30 22.11.56.48-9 63. 13. 30-38 90. 33. 34-34 75-55 4. 5.11-83 12-01 60-18 23. 12. 59. 47-7 79. 6. 5-70 89. 5.36-58 75-55 5. 12. 15-39 15-94 60-55 1761. Feb. 28.20. 0.31-1 278. 14. 53-63 92 49. 31-04 76-91 18.36.42-25 41-59 59-34 Mar. 25. 16. 13. 10-9 248.40. 18-99 90.38. 12-11 77-19 16. 27. 20-32 19-58 59-26 Apr. 10. 4.53.41-4 92. 32. 56-71 87. 15. 39-03 77-16 6.11.21-02 20-21 59-19 May 7. 2.42.23-4 86. 52. 44-81 87.37. 2-45 76-85 5.46. 8-57 8-54 59-97 24. 16. 56. 38-9 312. 51. 32-88 95. 3.12-28 76-63 21. 7.29-11 28-23 59-12 June 6. 3. 37. 55'6 126.19.31-58 85. 10. 31-59 76-55 8.40. 5-50 4-71 59-21 7. 4.35.48-2 141.20.50-88 84. 47. 34-69 76-55 9.42. 1-32 0-48 59-16 8. 5.28.26-7 155. 53. 35-73 84. 45. 38-76 76-54 10. 38. 41-75 41-50 59-75 11. 7.45. 7-2 196. 48. 45-43 86. 23. 26-92 76-54 13. 7.30-69 29-50 58-81 23. 17. 8. 38-8 346. 24, 13-16 94. 58. 57-52 76-58 23. 17. 49-60 49-18 59-58 July 6. 4. 10. 7-9 164.27.31-00 85. 1.51-15 76-73 11. 10.33-39 32-78 59-39 11. 7.54. 8-1 230. 56. 46-78 89. 16. 18-90 76-80 15.14.49-87 49-94 60-07 15.11. 7.54-8 280. 4. 1-31 93.21.38-13 76-88 18. 44. 57-10 57-79 60-69 26.19.48.47-3 64.11.31-31 89. 25. 59-57 77-12 4. 8.21-12 22-04 60'92 27.20.49. 5-5 79. 17. 19-65 88. 8. 16-70 77-15 5.12.43-89 44-09 60-20 Aug. 25. 20. 42. 17-1 103.28. 4-36 86. 13. 34-62 77-83 7. 0.13-63 13-94 60-31 Sub. S 60-00 [302] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center, Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. d h m O f It O t ft // h m s s s 1761. Sep. 8. 7.47.31-2 283.36. 6-54 93. 52. 39-02 78-08 19. 0.52-21 52-23 60-02 24. 21. 32. 20-0 143. 4.51-70 84. 53. 12-00 78-23 9. 48. 46-68 46-61 59-93 Oct. 21.19.26.31-9 138. 6.30-74 84. 45. 46-76 78-11 9.29. 4-85 4-74 59-89 Nor. 11.11.17.58-5 43. 17. 54-52 90.42.40-11 77-82 2. 44. 14-40 14-29 59-89 30. 3. 4. 14-5 293. 16. 57-79 94. 39. 18-74 77-59 19.44. 1-95 2-75 60-80 Dec. 30. 3. 20. 45-1 325. 38. 27-72 95. 4.47-37 77-60 21. 58. 49-50 49-10 59-60 1762. May 12.16.10.59-3 290. 48. 26-53 94.55.35-17 78-60 19. 33. 22-48 22-76 60-28 28. 4.47.14-9 134. 11. 13-54 84. 46. 50-59 78-40 9. 13. 8-22 7-81 59-59 June 30. 7. 38. 15'9 215. 50. 36-30 89. 37. 29-89 78-38 14. 14. 37-55 37-37 59-82 July 15. 19. 19. 12-3 46. 17. 36-95 89.19.11-96 78-60 2. 54. 27-68 27-68 60-00 Aug. 29. 8.37. 6-9 285.36. 9-61 94. 48. 24-97 79-53 19. 10. 14-33 14-30 59-97 Sep. 11.18.41. 3-7 91. 3.21-92 85. 38. 15-36 79-71 6. 4.45-79 46-23 60-44 Oct. 5. 13. 54. 24-7 45. 51. 56-29 88. 46. 57-28 79-78 2.52. 5-34 5-52 60-18 1763. Jan. 17. 2.47.14-0 335.29.44-13 93. 57. 24-01 79-23 22. 35. 12-58 12-02 59-44 Feb. 19. 4.47.44-4 44. 33. 51-55 88. 14. 26-64 79-94 2.46.11-66 11-33 59-67 Mar. 7. 19.30. 2-0 277. 1. 12-29 94. 57. 58-06 80-19 18. 31. 46-70 46-22 59-52 8. 20. 23. 35-1 289. 52. 41-62 95.10.29-29 80-21 19.29.26-78 26-07 59-29 Aug. 20. 10. 7. 17-4 297.52. 8-67 95. 0. 4-06 80-18 20. 4.15-32 13-97 58-65 Sep. 15. 7. 8.69-9 280. 35. 53-65 95. 14. 33-38 80-52 18.48. 0-72 0-34 59-62 22. 12. 26. 55-1 8.33.30-16 90.31. 2-94 80-54 0. 32. 15-33 14-57 59-24 29. 17. 54. 54-1 96. 17. 23-86 84. 45. 17-02 80-54 6. 28. 32-55 31-83 59-28 Nor. 1.21. 7.12-9 177. 1.35-30 88. 27. 30-63 80-10 11.51. 32-64 32-86 60-22 17. 9.41.48-5 24. 32. 46-20 89. 1.26-28 79-79 1.29.27-53 27-09 59-56 Dec. 30.21. 9.48-1 239. 45. 55-02 93. 50. 36-13 79-47 15.46.41-00 40-61 59-61 1764. Feb. 23. 17. 55. 56'0 245. 7.18-81 94.31. 0-17 80-36 16. 9. 7-60 6-99 59-39 Apr. 18.14.32.13-5 248. 1.21-37 94. 40. 47-51 80-29 16. 21. 39-68 39-16 59-48 May 5. 3. 27. 12-9 95.20. 8-76 84. 50. 36-93 79-96 6.24. 12-10 13-05 60-95 22. 18. 45. 47-8 340. 15. 19-17 91. 59. 59-22 79-63 22. 50. 10-55 10-36 59-81 July 7. 6. 45. 38-7 211. 0.12-68 92. 41. 25-46 79-41 13. 51. 35-04 32-96 57-92 Aug. 21. 19. 53. 4-1 89.11. 3-78 84.46.50-13 80-09 5.56.17-78 16-83 59-05 Sub. 60*00 1761. November 1 1 . The Quadrant was out of adjustment on this day. See Reduction of Greenwich Observations of Planets, page xlvi. SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [303] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation. Excess of Observed R.A. 23. 27'. d h m O 1 H O ' '/ ft h m * a 5 1765. June 24. 4. 44. 12-4 163. 10. 26-98 90.18.47-94 78-42 10. 57. 30-17 29-26 59-09 July 9. 18. 3. 12-4 21. 56. 14-43 86. 29. 25-30 78-46 1.15.44-84 44-98 60-14 Aug. 10. 19. 53. 31-3 79.29.42-13 84. 51. 57-90 78-86 5. 12. 26-96 26-67 59-71 Oct. 10.21. 15.11-5 157. 0.33-06 90. 0.55-24 78-99 10. 34. 55-04 54-95 59-91 11.21.59. 6-9 170. 25. 35-08 91. 12. 57-34 78-98 11.22.54-37 54-02 59-65 1766. Apr. 12. 2.26.40-0 61. 1.35-73 84. 55. 33-56 78-00 3. 50. 54-81 54-22 59-41 13. 3.19.29-4 73.58. 9-25 85. 8.45-74 77-97 4. 47. 49-76 49-33 59-57 June 11. 3. 14.56-2 126. 13. 33-75 88. 43. 24-71 76-67 8. 35. 48-21 47-12 58-91 July 31.20.41.38-8 81.11.43-83 85. 31. 18-44 76-77 5. 20. 19-33 19-24 59-91 Aug. 13. 5.41.58-2 231. 50. 34-75 95. 17. 25-43 76-92 15. 11.42-25 41-97 59-72 Sep. 9. 3.37.53-2 227. 28. 46-36 95.13.21-33 77-15 14.53.41-63 42-14 60-51 28. 20. 34. 43-2 133. 55. 54-54 89. 36. 56-62 77-07 9. 6. 5-07 4-84 59-77 Oct. 12. 7.19.55-0 308.58.43-81 90. 43. 14-98 76-87 20. 46. 28-35 28-45 60-10 1767. Jan. 25. 20. 28. 56-2 254. 14. 3-21 94. 22. 52-10 75-48 16. 49. 16-09 16-96 60-87 Feb. 22. 19. 14. 20-6 262.10.13-13 93.52.48-12 75-80 17. 24. 52-04 52-99 60-95 Mar. 24.20. 0.50-1 300. 5.25-74 90. 44. 17-06 75-75 20. 9.47-93 48-76 60-83 June 1. 4. 3.22-0 128. 43. 33-25 90. 36. 26-03 74-22 8.43.58-51 58-27 59-76 22.21.29.24-9 56. 51. 48-97 85.18.27-67 73-93 3. 33. 30-26 28-94 58-68 Sep. 27. 2.56.30-4 234. 8.49-12 94.32.41-35 74-27 15.22.12-18 12-04 59-86 1768. Mar. 14. 21. 14. 41-5 309. 54. 46-97 88. 12. 52-45 72-77 20. 47. 27-65 28-45 60-80 May 7. 16. 58. 20'6 298.59. 7-35 88. 39. 20-35 71-68 20. 3. 20-79 20-85 60-06 June 17. 2.37.43-1 124. 12. 16-46 91. 57. 50-43 70-78 8.24. 12-35 12-13 59-78 Sep. 4. 19. 20. 44-3 94.23. 1-55 89. 27. 50-93 71'09 6.19.11-24 11-55 60-31 Oct. 6.21.21.53-6 156. 35. 32-75 94. 18. 31-41 70-83 10. 26. 58-30 59-16 60-86 16. 4. 5.45-5 267.37. 0-09 90. 43. 20-04 70-63 17.49.33-06 32-56 59-50 1769. June 15. 9.16.36-0 227. 14. 50-40 93. 10. 11-20 67-36 14.55. 17-43 17-65 60-22 30.21.47.54-7 68. 22. 33-78 88.34.55-16 67-23 4. 25. 32-23 32-98 60-75 July 7. 3.28.299 158.30.47-72 95. 4. 8-03 67-21 10. 32. 59-01 58-64 59-63 Aug. 13. 9. 9.54-3 279. 34. 22-55 88. 29. 28-98 67-48 18.41.12-30 13-15 60-85 Sep. 25.21. 3.53-9 140. 9.27-67 94. 26. 54-80 67-52 9. 24. 33-59 33-19 59-60 Sub. 60-00 [304] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A of Moon's Center. Seconds of R. A. of Moon's Center from Observation Excess of Observed R. A. 23. 27'. d h in o / // O 1 II it h m i 8 8 1769. Oct. 24.20.35.48-5 163.21.26-76 95. 8.54-68 66-93 10. 50. 45-73 45-55 59-82 25. 21. 20. 48-2 176.41.58-01 95. 3.34-76 66-90 11. 39. 50-06 49-72 59-66 1770. Feb. 19.20. 8.52-3 272. 4.44-24 88.12.57-51 65-88 18. 8.56-64 56-87 60-23 June 7. 11. 39. 18'5 252. 50. 15-63 89. 20. 47-95 64-08 16. 45. 55-68 54-77 59-09 July 18.20.47.51-5 70. 22. 24-51 90. 31. 36-73 63-88 4. 35. 21-00 22-12 61-12 Sep. 14.20.22.32-7 1 18. 28. 14-32 94. 21. 25-72 64-28 7. 58. 41-40 41-77 60-37 Nov. 21. 3. 7.39-2 286.55. 9-57 85. 55. 29-41 62-89 19.11.14-13 14-70 60-57 1771. Mar. 10. 20. 27. 51-1 294.25.24-11 85. 23. 20-02 62-82 19. 41. 57-22 57-69 60-47 July 7.20.18.27-4 52. 38. 54-95 90. 38. 18-04 60-89 3. 21. 38-22 38-15 59-93 15. 2.59.49-8 158. 34. 59-08 94.37. 8-29 60-93 10. 33. 54-72 54-51 59-79 Aug. 6.20.53.29-4 88.49. 9-21 93. 37. 43-87 61-16 5. 54. 59-35 59-66 60-31 7.21.52.49-6 103. 53. 31-70 94.24.17-40 61-17 6.58.26-20 25-83 59-63 Nov. 10. 3. 7. 4-1 276.15.25-18 85. 30. 37-00 60-47 18.26.22-11 22-31 60-20 1772. Jan. 17. 9.44.24-0 83. 36. 29-26 93.48.33-11 59-76 5. 32. 55-72 55-83 60-11 Feb. 18.12.12.55-5 151. 32. 33-05 94. 21. 23-22 60-18 10. 8. 0-38 1-26 60-88 18. 12. 15. 15-5 151.34. 1-86 94.21.19-20 60-18 10. 8. 6-04 6-92 60-88 Mar. 24. 17. 25. 27'3 264. 35. 18-72 85. 39. 54-41 60-28 17.37. 9-91 10-25 60-34 Apr. 20. 15. 12. 42-6 258. 16. 24-17 85. 58. 13-71 59-84 17. 10. 29-61 29-40 59-79 27. 20. 47. 10-4 348. 49. 53-30 86. 35. 34-27 59-66 23.13.35-99 36-45 60-46 May 6. 2.57.38-0 89. 41. 20-03 94.36. 8-94 59-46 5. 58. 41-36 41-71 60-35 7. 3.50.27-5 103. 16. 46-20 95. 4.18-56 59-44 6. 55. 36-26 36-68 60-42 8. 4.43.19-0 117. 8.27-38 95. 15. 29-02 59-41 7. 52. 33-49 33-40 59-91 June 25. 20. 15. 8'8 40. 32. 25-51 91. 14. 10-49 58-65 2.34. 3-67 3-58 59-91 27. 21. 52. 54-3 66.16. 5-12 93.14.53-19 58-65 4. 19. 55-43 55-55 60-12 July 14. 12. 8. 56-1 14. 12. 11. 9-1 294.52.46-16 294. 53. 58-39 84. 59. 32-80 84. 59. 32-90 58-72 68-72 19. 43. 32-04 19. 43. 36-96 31-61 36-43 59-57 59-47 21.17.24.25-3 23. 6. 2-49 89. 56. 49-94 58-79 1. 25. 23-81 24-13 60-32 23. 18. 54. 34-3 47. 46. 47-20 92. 4.11-03 58-81 3. 3.38-76 38-85 60-09 26. 21. 26. 43-8 87. 9. 3-31 94.31. 3-18 58-85 5. 47. 59-38 59-25 59-87 Sep. 9. 10. 23. 33-1 324.47. 5-66 85. 42. 54-84 59-39 21. 42. 31-07 31-39 60-32 23. 21. 30. 39-6 145.19. 7-54 94. 17. 57-71 59-38 9. 44. 32-03 32-13 60-10 Sub. t 60-00 SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [305] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R.A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. d h m I O 1 II ' I h m s 8 . 1772. Oct. 5. 7.35.28-2 308. 2.31-01 84. 57. 59-23 59-28 20. 36. 30-96 30-92 59-96 8. 9.49.29-9 345.41. 6-53 87. 1.13-11 59-23 23. 2.40-72 41-23 60-51 17.16.42.37-1 97. 14. 24-37 95. 10.21-12 59-08 6.30.21-15 21-51 60-36 18.17.33.52-9 110.34.31-81 95. 17. 53-69 59-06 7.25.41-55 41-91 60-36 20. 19. 17. 45-1 138.27. 18-07 94.39. 8-31 59-02 9. 17. 43-68 43-80 60-12 30. 3.45. 16-1 275. 48. 11-58 84.52.50-10 58-81 18. 24. 20-72 19-57 58-85 Nov. 21.21.34. 7-7 206. 50. 27-72 89. 18. 42-86 58-28 13. 40. 36-51 36-53 60-02 1773. Jan. 1. 6.30.34-2 21. 0.36-47 90. 28. 11-83 57-88 1.18.20-56 20-34 59-78 17. 20. 4. 0-0 . 240. 7. 7-95 86.21.28-66 58-03 15. 54. 57-67 57-55 59-88 Feb. 25. 3. 3,19-9 23. 9.43-57 91. 6.42-89 58-63 1.27.22-31 22-57 60-26 Mar. 13. 16. 50. 47'1 245. 37. 33-15 85. 40. 36-34 58-74 16.18. 2-54 2-92 60-38 15. 18. 43. 33-4 274. 32. 22-27 84.45. 6-07 58-74 18.19. 1-79 2-08 60-29 16. 19.37.31-9 288.29. 9-70 84.46. 9-83 58-75 19.17. 7-28 7-16 59-88 17. 20. 29. 13-3 302. 6.23-54 85. 5. 1-82 58-74 20. 12. 55-40 55-07 59-67 27. 3.12.40-2 55. 10. 50-66 93. 43. 28-70 58-70 3.35. 2-11 2-56 60-45 Apr. 16.20.49.43-9 337.19.58-14 87. 5.50-26 58-42 22. 31. 48-77 48-98 60-21 26. 3. 31. 19-9 88. 6. 17-89 95. 6.47-05 58-23 5.52. 2-75 3-68 60-93 27. 4.20.14-4 100.45.38-70 95. 13.50-46 58-21 6.45. 2-88 3-14 60-26 July 6. 14. 31. 10-2 321. 37. 40-17 86. 32. 36-46 57-39 21.31.29-88 30-51 60-63 10. 17. 35. 50-3 13. 55. 35-24 90. 48. 29-65 57-42 0. 52. 31-02 31-28 60-26 Aug. 9.17.42.19-2 45.44. 9-08 93. 32. 33-45 57-87 2. 57. 16-42 17-09 60-67 10. 18. 27. 44-8 57. 57. 44-88 94. 15. 33-27 57-88 3. 46. 45-48 45-95 60-47 11.19. 14.25-3 70. 16. 20-73 94.47. 4-16 57-90 4. 37. 29-72 29-93 60-21 12.20. 2.27-4 82.45. 1-64 95. 5.29-68 57-92 5. 29. 35-40 35-71 60-31 22. 3.38.23-6 207. 14. 38-42 87. 45. 32-82 58-08 13. 44. 23-43 24-47 61-04 Oct. 12.21.31.39-6 164. 14. 25-24 91.34. 6-05 58-16 10.59.31-14 31-01 69-87 19. 3. 7.38-0 256. 13. 5-82 84. 56. 46-69 58-06 17. 2. 17-86 17-52 59-66 20. 4. 7. 2-2 271.23. 0-66 84. 45. 56-87 58-05 18. 5.48-13 47-43 59-30 Nov. 10.21. 0.56-0 186. 3.27-01 89. 30. 15-70 57-61 12. 23. 1-52 1-74 60-22 Dec. 5.17.13.51-7 152. 17. 54-03 92.11.39-96 57-17 10. 13. 56-94 56-66 59-72 Sub. 60-00 GREENWICH LUNAR REDUCTIONS. 2[R] [306] KEDTJCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E.N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A of Moon's Center. Seconds of R.A. of Moon's Center from Observation Excess of Observed R. A. 23. 27'. d li m s Q t tt o / ff h m s . s 1774. Jan. 7. 20. 13. 33- 232. 19. 22-52 85. 43. 40-63 57 18 15.24. 8-68 8-60 59-92 Feb. 5.20. 0. 5-3 256. 50. 52-68 84. 50. 15-62 57-68 17. 4.57-78 58-06 60-28 Mar. 14. 1.46.52-5 19. 47. 26-27 92.27. 4-20 58-18 1. 16. 47-47 47-87 60-40 15. 2. 32. 43-7 32.41.31-41 93. 26. 3-52 58-18 2. 6.42-99 43-11 60-12 16. 3. 18. 28-8 45.20.32-11 94. 13. 52-83 58-19 2. 56. 32-28 32-40 60-12 17. 4. 4.27-8 57. 47. 42-07 94.48.49-11 58-19 3. 46. 35-24 35-72 60-48 18. 4.50.52-9 70. 7. 2-30 95. 10. 1-65 58-19 4. 37. 4-86 5-37 60-51 Apr. 1.16.47.24-7 262. 30. 13-78 84. 44. 57-42 58-13 17. 28. 35-63 36-32 60-69 3.18.42.40-3 292. 0.48-62 85.20.49-91 58-11 19.32. 5-06 5-15 60-09 6. 21. 20. 58-2 334. 23. 38-99 88. 24. 0-87 58-08 22.22.43-15 42-58 59-43 26. 12. 37. 55-3 225. 29. 0-20 85. 50. 15-61 57-79 14.57. 0-58 0-44 59-86 May 14. 3. 1. 7'3 97. 33. 27-28 94.48.58-24 57-46 6. 31.45-83 45-69 59-86 June 2. 19. 39. 16'0 6. 16. 23-58 91.32.46-26 57-17 0. 25. 28-96 29-36 60-40 13. 3. 19. 13-8 130.25.42-06 92. 58. 59-04 57-09 8.48. 11-54 11-26 59-72 14. 4. 5.22-3 142.56. 2-35 92. 2. 2-75 57-08 9. 38. 24-43 23-66 59-23 July 4. 21. 23. 34-8 65. 4. 11-74 94. 58. 43-46 67-14 4. 16. 14-32 14-69 00-37 29.17.48.47-1 35. 47. 20-00 94. 6. 3-71 57-50 2. 19. 25-75 25-68 59-93 Aug. 1.20. 6.44-5 73. 8. 18-92 95.11.29-52 57-57 4. 49. 34-54 34-87 60-33 11. 3. 7. 5-8 186.53. 4-48 87.53. 4-80 57-76 12. 28. 37-72 38-40 60-68 12. 3.54.49-0 200. 28. 19-63 86. 48. 48-81 57-78 13. 20. 26-05 26-68 60-63 13. 4. 44. 15-8 214.21.51-11 85. 54. 13-43 57-80 14. 13. 59-10 59-44 60-34 21. 12. 20. 27-8 334. 9.44-33 89.11. 1-29 57-9G 22. 22. 59-78 60-24 60-46 Oct. 9. 3. 17. 18-7 248. 46. 36-55 84. 49. 10-34 58-25 16. 31. 34-29 35-09 60-80 10. 4.14.58-2 263. 38. 38-76 84. 54. 14-21 58-24 17. 33. 20-06 21-22 61-16 Nov. 29.21. 2.34-9 205. 10. 14-87 86.21. 5-48 57-45 13.38.38-72 38-67 59-95 Dec. 24. 17. 20. 6'7 172. 20. 22- 12 88. 32. 32-53 57-34 11.34. 10-58 11-22 60-64 29.21.29.34-8 242. 1.39-56 84.55. 1-36 57-38 16. 3.55-67 55-76 60-09 1775. Jan. 26.20.11.30-2 249.51. 12-24 84. 47. 25-68 57-83 16.36. 1-15 2-05 60-90 27.21.10.40-2 265. 4. 2-47 85. 6.41-42 57-85 17. 39. 16-12 16-75 60-03 Feb. 24. 19. 56. 57-6 273. 44. 24-40 85. 24. 27-12 58-45 18. 15. 45-37 46-12 60-75 Sub. 60-00 SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR EIGHT ASCENSION. [307] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E.N. P.O. of Moon's Center. Tabular Obliquity of Ecliptic. lesulting Tabular R.A. of Moon's Center. Seconds of R. A. of Moon's Center rom Observation. Excess of Observed R. A. 23. 27'. d h m s 01" o / // // h m , g 9 1775. Feb. 25. 20. 50. 48-2 288. 54. 18-60 86. 15. 28-05 58-46 19. 19.41-86 42-67 60-81 26.21.56.51-7 304. 16. 46-84 87. 23. 11-72 58-48 20. 23. 52-32 52-93 60-61 Apr. 3. 4.23. 5-3 80. 17. 24-84 94. 55. 55-65 58-65 5. 19. 14-96 14-94 59-98 May 3. 3. 3.15-4 87.31.54-17 94.30.21-06 58-28 5. 49. 35-62 35-58 59-96 4. 3.52.10-9 100. 4.21-11 93. 54. 16-77 58-26 6. 42. 35-24 35-31 60-07 6. 5.27.11-1 124. 38. 18-14 92. 12. 45-51 58-23 8. 25. 43-30 43-07 59-77 June 2. 3.21.24-5 119.51.29-40 92. 21. 36-19 57-87 8. 6. 3-61 3-03 59-42 3. 4. 7.45-7 132. 2.37-02 91. 21. 38-52 57-87 8. 56. 27-96 27-68 59-72 24.22. 4.33-2 65.13.49-92 95. 2.19-56 57-84 4. 16. 56-31 55-21 58-90 July 8. 8. 6.56-0 229. 36. 30-80 84. 50. 20-77 57-96 15. 14.20-21 20-40 60-19 9. 9. 0.53-3 244. 6.25-58 84. 52. 21-95 57-98 16.12.25-14 25-25 60-11 10. 9.58.40-5 259. 7.45-07 85. 15. 8-45 57-99 17. 14. 19-95 20-31 60-36 11. 10.59.36-9 274. 35. 6-44 85. 58. 58-04 58-01 18.19.23-75 24-47 60-72 16. 15. 57. 34-4 352. 19. 31-00 92.24. 8-11 58-09 23. 35. 37-56 37-88 60-32 17.16.48.47-6 19. 18. 26. 29-8 6. 55. 15-98 34.49. 7-60 93. 29. 52-49 94. 54. 51-96 58-11 58-14 0. 30. 56-94 2.16.48-85 57-27 49-90 60-33 61-05 20. 19. 14. 25-6 48. 11.49-91 95.11.57-22 58-17 3. 8.49-88 50-20 60-32 Aug. 4. 5.58.25-6 223.51.37-09 84. 48. 22-64 58-48 14.51.54-07 54-12 60-05 5. 6.48.59-3 237.41. 7-18 84.43. 2-50 58-50 15.46.34-37 34-64 60-27 7. 8.40.54-1 266. 51. 14-03 85. 30. 53-27 58-55 17.46.44-09 44-61 60-52 10.11.45. 1-8 313.38. 0'03 88. 58. 42-83 58-62 21. 3.12-26 12-82 60-56 10.11.47.26-9 313. 39. 32-08 88.58.51-21 58-62 21. 3. 18-53 19-11 60-58 11.12.47. 1-7 329. 28. 46-42 90. 26. 24-17 58-65 22. 7. 1-08 1-27 60-19 12. 13. 43. 55-4 345. 6. 19-75 91. 50. 56-55 58-67 23. 8. 2-50 2-40 59-90 13.14.38. 7-5 0. 23. 14-46 93. 5.39-63 58-69 0. 6. 21-20 21-29 60-09 14. 15. 30. 4-5 15. 13.36-94 94. 5.36-59 58-72 1. 2.24-21 24-39 60-18 31. 3.55. 6-4 219. 25. 45-05 84.54.21-21 59-05 14. 34. 40-15 40-56 60-41 _ Sep. 3. 6. 29. 15-4 260.45.29-12 85. 15. 27-92 59-10 17.21. 9-21 9-59 60-38 8.11.23.35-1 336. 50. 57-93 91. 6.37-87 59-18 22.36. 0-52 0-74 60-22 30. 4.24.13-7 256. 13. 31-31 85. 13. 34-49 59-30 17. 2.12-59 13-25 60-66 Sub. 6o'-00 2 [R] 2 [308] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P.O. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation Excess of Observed R. A. 23. 27'. d h m > ' II o / " ft h m s 5 s 1775. Oct. 4. 8.12. 6-7 314.24.43-31 89. 9.32-35 59-30 21. 6.31-15 31-61 60-46 5. 9. 8.50-3 329. 31. 53-65 90.31. 3-45 59-29 22. 7. 19-72 20-32 60-60 6. 10. 4. 10-3 344. 45. 37-24 91.50.45-75 59"28 23. 6.45-23 45-23 60-00 7.10.58. 9-5 359. 59. 27-08 93. 2.23-94 59-29 0. 4.48-75 49-06 60-31 9. 12.45.31-7 29. 58. 39-99 94.41. 12-78 59-27 1.58.10-85 11-16 60-31 10.13.37.23-4 44. 28. 49-55 95. 2.36-09 59-26 2. 54. 7-93 8-07 60-14 13. 16.11.29-2 85. 22. 34-50 94.18.51-13 59-23 5. 40. 29-02 29-40 60-38 14.17. 1.30-9 98. 11. 4-53 93. 35. 58-09 59-22 6.34.42-15 42-40 60-25 29. 4.12. 7-6 1 280. 27. 49-92 80. 40. 54-73 59-04 18.44.25-62 26-89 61-27 Nov. 18.20.58.11-9 191.54. 3-95 86. 1. 14-25 58-72 12.49.59-19 58-87 59-68 1776. Feb. 13.19.18.57-9 254. 6 55-03 85. 20. 44-53 59-54 16.53.21-88 23-09 61-21 14. 20. 14. 32-2 268. 20. 50-35 86. 6.34-26 59-57 17.53. 0-01 1-33 61-32 Mar. 14.19.57.25-3 291. 9.59-39 87. 54. 25-51 60-06 19.30. 9-85 11-05 61-20 15.20.50. 9-4 306. 4.28-21 89.12. 8-00 60-07 20. 32. 59-89 61-11 61-22 23. 3. 22. 58-9 53. 46. 33-08 95. 4. 6-41 60-11 3. 30. 44-42 44-95 60-53 25. 5. 8.25-2 81.33.40-62 94. 5.29-69 60-11 5.24.21-10 21-31 60-21 Apr. 11.18.46.20-2 300. 22. 27-51 88. 54. 15-36 60-05 20. 9. 18-63 18-52 59-89 21. 2.56. 1-4 75. 17. 18-02 94.12. 3-48 59-96 4.58. 2-85 3-63 60-78 22. 3.49.42-6 89. 1. 7-20 93. 25. 17-54 59-94 5. 55. 49-74 49-81 60-07 24. 5.32.56-5 115. 7.25-96 91.26. 8-77 59-91 7.47. 12-19 11-91 59-72 May 21. 3.23. 5-2 109.30.34-48 91.40.33-98 59-54 7. 23. 27-04 27-27 60-23 22. 4. 13.38-8 122. 22. 34-24 90. 33. 50-44 59-54 8.18. 4-14 4-43 60-29 June 19. 2.54. 1-5 129.38.22-79 89.45. 14-61 59-41 8. 48.37-28 37-05 59-77 Sep. 2. Iff. 19. 45-1 48. 33. 10-48 95. 4.32-95 60-86 3. 10. 5-44 5-30 59-86 6.19.50.43-7 103. 24. 30-88 91.59.51-47 60-93 6. 57. 25-00 25-62 60-62 8.21.30. 15-8 128. 46. 58-14 89.44.51-41 60-96 8.45. 8-99 9-38 60-39 18. 4. 0.20-0 239.38. 9-36 85.20.44-12 61-07 15.53.52-55 52-34 59-79 Oct. 4.18.37.33-9 112. 1. 23-93 91. 3.25-83 01-12 7. 34. 27-63 27-42 59-89 6.20.15. 5-7 137. 13. 20-01 88.50. 18-91 61-12 9. 20. 10-82 11-15 60-33 8. 21. 44. 4-4 161.42.34-55 86. 54. 13-29 61-12 10.57. 19-40 19-93 60-53 Sub. 6o'-00 * SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [309] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. <1 h in s Q 1 l> O ' '/ // l> m 6 8 1777. Apr. 10. 2.28. 4'7 57. 44. 36-88 94. 6. 18-29 62-21 3. 45. 43-92 44-88 60-96 12. 4.23.27-0 87. 30. 39-65 92. 7.36-57 62-19 5.49.19-18 19-51 60-33 May 10. 3. 6.43-9 95.16.43-15 91. 16. 19-09 61-88 6. 22. 47-23 47-96 60-73 Sep. 6. 3. 17. 15-9 216.19. 41-40 85. 13. 55-09 63-25 14. 22. 22-26 22-17 59-91 23. 18. 10. 35-8 95. 18.51-94 90.50. 1-67 63-44 6.23. 1-02 1-62 60-60 Nov. 5. 3.48.40-1 281. 35. 58-55 90. 7.27-44 63-21 18. 50. 30-04 30-35 60-31 16. 13.44. 3-4 82. 42. 46-04 91.29.40-34 63-06 5. 28. 36-53 36-91 60-38 1778. Jan. 15. 14. 53. 7'3 155. 8.52-77 85. 36. 37-25 63-33 10. 34. 32-69 32-45 59-76 June 21.21.49.18-9 59. 17.46-49 92. 40. 42-43 64-22 3. 50. 45-23 46-28 61-05 July 26. 2.29.29-5 158.29.55-29 85. 8. 9-90 64-80 10. 47. 59-89 60-59 60-70 27, 3. 18. 2-2 172. 28. 30-46 84. 50. 20-35 64-83 11.40.35-53 35-80 60-27 Aug. 17.20.24.11-7 92. 18. 41-32 89. 37. 29-53 65-39 6. 10. 6-44 7-04 60-60 18.21.25.55-8 107.17.53-06 88. 19. 5-02 65-41 7.15.57-29 57-81 60-52 19. 22. 26. 4(5-0 122.15.33-10 87. 7.56-49 65-43 8. 20. 55-68 55-60 59-92 Sep. 8. 13. 49. 14-3 14. 32. 48-12 94. 45. 20-77 65-85 1. 0.55-14 56-49 61-35 16.21.15. 14-4 131.22.33-17 86.23. 3-14 65-96 8. 59. 37 61 37-62 60-01 1779. Feb. 4. 15. 43. 14-4 189.35. 9-18 85. 13.55-58 66-39 12. 42. 43-34 43-08 59-74 20. 3.21.33-8 21. 4.45-14 94. 10. 54-95 66-79 1. 24. 10-89 11-13 60-24 Mar. 11.19.50.22-4 285.28.41-36 92. 31. 18-99 67-15 19. 8.28-49 28-56 60-07 21. 2.54.24-6 44. 32. 39-42 92. 29. 32-40 67-25 2.51.20-23 20-55 60-32 May 22. 6.23. 19-9 152.24. 0-70 84. 46. 56-45 66-77 10. 25. 17-40 17-29 59-89 23. 7. 13. 3-3 166.37. 1-65 84. 44. 20-61 66-75 11. 19. 3-81 3-35 59-54 June 22. 7.28. 1-5 203.22. 8-87 86. 5.10-40 66-70 13.32. 18-18 18-24 60-06 Dec. 3.21. 6. 3-0 210.22.56-15 87. 12. 16-69 67-83 13.57. 3-09 4-27 61-18 1780. Feb. 29. 20. 42. 10-6 287. 55. 27-94 93. 56. 32 60 69-24 19.20. 1-38 1-86 60-48 Mar. 10. 3. 15. 11-9 39. 55.51-67 91.18.30-83 69-39 2.31.46-18 45-84 59-66 July 27. 20. 53. 34-2 80.43.30-21 87. 24. 36-41 69-37 5.18.49-07 49-10 60-03 Aug. 24. 19. 37. 56-6 88. 30. 54-20 86.38.45-52 70-02 5. 53. 21-35 22-23 60-88 26.21.42.26-1 118.20. 11-91 85. 13. 14-89 70-06 8. 6. 3-94 4-06 60-12 Sep. 2. 3. 9.54-2 211. 50. 27-87 88. 45. 33-50 70-18 14. 0.25-21 24-34 59-13 Sub. 60-00 [310] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. cl b m 8 Q f II O ' II n h m s s 1780. Sep. 21. 18.26.23-0 97. 7.13-44 85. 54. 25-56 70-40 6. 32. 0-61 1-06 60-45 Oct. 3. 4.31. 9-8 201.58.10-88 93.11.51-17 70-41 17.24. 9-63 9-09 00-06 10. 14. 29. 32-9 05. 35. 47-37 88. 2.21-00 70-33 4. 13. 13-40 10-13 56-73 1781. Apr. 28. 3. 53. 23-0 94. 57. 34-47 85.23.33-01 70-84 6. 22. 23-96 24-21 60'25 May 20. 2. 45. 33'6 104.22. 1-25 85. 6. 8-21 70-41 7. 4.46-36 47-63 Gl'27 July 31. 9.10.33-7 268. 1.22-10 94. 17. 53-23 70-85 17.51. 5-27 4-59 59-32 Aug. 14. 20. 12. 38-4 87. 17. 48-82 85. 37. 36-25 71-15 5. 47. 48-57 48-83 00-26 1782. Feb. 0.19.44.50-9 255.16. 0-39 94. 16. 17-88 71-44 16.53.54-75 54-54 59-79 June 14. 2.57. 5'0 124. 0. 52-01 85.17. 5-18 70-93 8.30. 14-18 14-93 60-75 Aug. 4.21. 0. 9-1 88.55. 8-02 84. 59. 14-20 71-46 5.55. 5-94 6-52 60-58 Sep. 26. 15. 51. 16-8 66. 19. 53-47 85. 27. 30-54 72-07 4. 14. 22-46 23-42 60-90 Nov. 9. 3. 56. 13'2 286. 13. 35-81 95. 5.20-32 71-45 19. 13. 10-44 9-99 59-55 Dec. 30.21. 1.59-7 239.21.52-70 94.11. 9-37 70-91 15.40.23-57 23-45 59-88 1783. Apr. 4. 1.57.40-5 46. 7.18-92 86. 4.26-86 71-83 2.49.46-16 45-67 59-51 May 5. 3. 10. 19'8 91. 4.38-54 84.54. 3-69 71-27 6. 4.53-24 53-29 60-05 Oct. 30. 4. 3.57-4 278. 58. 37-54 94. 45. 52-98 70-98 18. 40. 32-60 33-10 00-50 1784. Mar. 15. 19.47.22-7 288.52. 4-04 94. 4. 9-20 70-88 19. 24. 15-32 15-39 00-07 May 22. 2. 45.25' 1 101. 7.38-48 85. 56. 48-14 69-71 6. 49. 55-72 55-39 59-67 Sep. 10.21.42. 19-4 133. 24. 50-90 88. 27. 35-16 69-99 9. 5.24-18 24-90 00-72 Oct. 19. 4. 9.30-4 271.15.48-22 94. 16. 59-51 69-01 18. 5.41-60 42-48 60-82 Dec. 1.16.10.23-9 131. 10. 25-20 88. 52. 27-21 68-56 8. 55. 51-05 51-85 60-80 4. 18. 13. 46-0 167.40. 8-95 92. 2.45-03 68-50 11.11.26-84 27-29 60-45 1785. Apr. 26. 13. 52. 25-4 246. 3.35-68 94.45. 4-54 68-26 16. 13. 1-42 2-30 60-88 May 11. 2.35.45-1 89. 5.55-08 86. 19. 57-06 67-88 5. 55. 57-41 57-92 00-51 12. 3.32.12-0 102.43.21-02 87. 14. 47-45 67-85 6.56.28-33 28-72 60-39 Dec. 5. 3. 4. 10-4 298. 52. 49-20 90. 26. 26-43 65-97 20. 4.27-89 28-18 00-29 1786. July 21.21. 19. 47-4 80. 56. 16-76 87. 8.41-91 64-26 5. 19. 40-70 40-85 60-15 1787. Jan. 2.11. 1.39-6 88.21.58-33 88. 32. 25-47 62-57 5. 52. 47-77 48-13 60-30 Mar. 14.20.43.56-1 301.43.49-08 88.15. 4-29 62-97 20.14.17-87 18-50 60-63 Apr. 14.21.42.43-6 349. 55. 53-96 85. 12. 54-54 62-49 23. 15. 28-93 29-19 60-26 Sub. eo'oo 1780. Oct. 16. The time of Transit in the Printed Observations is diminished l m . SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [311] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. d h m i O f ft O ' " // h in a 9 1787. May 20. 3. 12. 24-3 105. 22. 22-92 90.52.51-96 61-51 7. 6. 18-40 18-24 59-84 July 1.13.10.48-4 295. 47. 59-37 88. 8.10-54 60-85 19. 49. 41-54 42-05 60-51 10. 20. 26. 50-4 58. 33. 54-68 86. 50. 37-32 60-85 3. 42. 15-84 16-32 60-48 Aug. 8.20. 18. 58-0 82. 52. 18-55 88.56.57-24 61-06 5.28.41-90 42-29 60-39 Oct. 16. 3.54. 11-0 264. 23. 54-82 90. 20. 27-99 60-78 17. 35. 31-53 32-37 60-84 30. 15.59. 9-1 98.11.51-77 90. 58. 55-55 60-40 6. 35. 26-38 26-09 59-71 Nov. 6. 21.47.50-9 196. 23. 55-33 94.51.32-73 60-18 12. 52. 49-50 49-40 59-90 27.14.46. 12-5 106. 59. 33-08 91. 52. 34-49 59-60 7. 12.41-50 40-93 59-43 1788. Apr. 10. 3. 30. 56-9 73.57.31-21 89.36. 1-47 59-14 4. 50. 10-73 10-27 59-54 30. 20. 13. 0-8 343. 36. 45-30 84. 49. 11-96 58-58 22. 51. 39-22 38-84 59-62 May 8. 2.21.25-3 83.17. 1-88 90. 33. 42-31 58-39 5. 30. 51-72 51-73 60-01 9. 3. 22. 30-0 98. 23. 37-86 91.54. 7-84 58-36 6.36. 2-23 2-27 60-04 31. 21. 11. 10-6 31.32.42-65 86.13.40-15 57-76 1.52. 6-42 6-23 59-81 July 27. 19. 30.51-5 61.27. 2-47 88.43.21-47 57-48 3.56. 11-40 11-11 59-71 28. 20. 30. 34-9 76. 11. 2-73 90. 2. 2-11 57-49 4.59.59-11 59-28 60-17 Aug. 6. 3.59. 7-8 198. 59. 58-44 94. 13. 51-53 57-56 13. 3.33-83 33-84 60-01 17.12.43.51-2 337.57. 2-10 85. 0.31-47 57-68 22.31. 0-67 1-17 60-50 23. 17. 22. 39-6 56. 13.35-14 88. 30. 17-55 57-72 3.34. 7-24 6-88 59-64 Sep. 3. 2.38.53-7 206. 39. 0-94 93. 35. 58-02 57-79 13. 33. 31-24 30-94 59-70 7. 6. 4.66-7 259. 48. 52-30 89. 19. 40-60 57-80 17. 15. 53-68 53-47 59-79 24.20. 3.27-4 124. 2.43-33 94. 4.38-92 57-71 8.21.30-49 30-56 60-07 26.21.51.36-0 154. 25. 57-69 95. 1.33-29 57-69 10. 17. 52-19 52-01 59-82 Oct. 24. 20. 34. 54-9 163. 31. 57-75 95. 9.44-58 57-12 10.51.23-18 22-93 59-75 Nov. 1. 2.36.30-5 261.35.34-51 88. 45. 58-99 56-91 17.23.43-56 44-04 60-48 15. 13. 5(5. 29-1 85. 0.38-91 91. 33. 47-92 56-50 5. 38. 30-50 30-91 60-41 23.21. 0. 4-0 201.49.43-25 93.48.23-61 56-27 13. 14. 52-99 53-00 60-01 Dec. 17. 16.28.21-6 154. 17. 38-34 95. 14. 51-37 55-80 10.17. 1-87 2-50 60-G3 1789. Feb. 19. 20. 45. 37'4 281. 8.11-14 86. 56. 14-34 56-10 18.47.21-57 22-03 60-46 Mar. 12. 13. 20. 49'4 193. 33. 58-98 93. 42. 44-61 56-16 12.44. 5-16 5-30 60-14 20.20. 15. 11-2 301. 34. 33-52 85.33.19-71 56-12 20. 11. 12-55 12-85 60-30 Sub. 80-00 [312] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R.A. of Moon's Center from Observation Excess of Observed R.A. 23. 27'. <1 h m O ' '/ o / " // b m s i 1789. Apr. 28. 2.30. 0-0 77.11.38-82 91.41.11-86 55-35 5. 5. 1-42 2-24 60-82 June 15. 18. 16. 5-1 0.30.37-18 85. 34. 33-78 54-24 23. 54. 48-77 49-23 60-46 July 19.20.58. 2-4 73. 2. 8-17 91. 25. 42-76 54-17 4.47. 11-41 11-32 59-91 Oct. 15.21.42.25-3 171.43.20-65 94.25.42-16 54-21 1 1. 22. 36-49 36-30 59-81 1790. Jan. 18. 2.30.46-1 336. 4.38-17 85.16. 8-39 52-78 22. 24. 25-83 26-84 61-01 Feb. 17. 2.33.46-1 8. 14. 23-33 87. 8. 0-51 53-13 0.25.43-10 43-49 00-39 Mar. 9.20. 8.13-8 289. 4.52-99 85.16. 12-18 53-26 19. 19. 51-80 52-16 00-36 10. 20. 56. 42-6 302. 1. 8-28 84. 67. 15-72 53-27 20. 12. 27-18 27-00 59-82 Apr. 18. 3. 3. 55-2 74. 7.33-95 92.58. 7-79 52-77 4. 52. 35-49 35-64 CO- 15 May 8.20.31. 7"6 356. 0. 0-63 86.18.42-96 52-24 23. 39. 27-51 27-84 00-33 July 1.16.22.51-1 346.18.13-78 86. 0. 16-28 51-41 23. 3.23-15 23-75 60-60 Sep. 1.18.10.37-7 74. 50. 25-41 93.28.11-63 52-01 4.55.50-15 50-49 00'34 3. 19. 53. 1-9 101. 2.42-03 94.47.16-96 52-02 6. 46. 22-95 23-11 60-16 4. 20. 45. 49-2 114.49.36-01 95. 5.37-13 52-03 7. 43. 15-28 15-29 00-01 5.21.39. 6-8 129. 6. 3-29 95. 5.59-56 52-04 8.40.38-19 38-11 59-92 Oct. 11. 2.48.47-1 244. 16. 26-51 87. 5.55-73 51-80 16. 11.24-95 23-77 58-82 22. 11.41.38-4 29. 20. 57-93 89.50.22-79 51-58 1.48.54-54 55-57 61-03 1791. Mar. 8. 2.47.54-3 30. 18. 26-35 90. 44. 28-40 51-08 1. 53. 52-69 52-05 59-36 Apr. 7. 2.59.39-7 62. 21. 24-86 93. 26. 45-80 50-88 4. 3.57-00 57-43 60-43 10. 5.22.55-9 99. 24. 59-18 95. 10. 32-00 50-84 6. 39. 27-15 28-12 00-97 May 6. 2. 30. 47' 1 82. 43. 40-77 94. 35. 1-48 50-28 5. 29. 22-95 20-89 57 '94 June 5. 2.52.40-6 116.22. 6-00 95. 4. 4-82 49-69 7. 49. 33-70 34-58 60-88 26. 20. 53. 16-7 60. 10. 57-73 92. 37. 30-24 49-53 3.13.51-12 52-13 61-01 July 5. 3. 14. 12-3 151.38.14-38 93. 36. 30-29 49-55 10. 9.25-59 26-36 60-77 27.21.57.58-8 94. 58. 47-47 94. 56. 56-44 49-77 6. 20. 55-20 56-17 60-97 Aug. 24. 20. 39. 4-2 102.28. 6-15 95. 9. 31-22 50-19 6.52.11-47 12-01 60-54 Sep. 30. 2. 4.37-9 222.19. 18-18 87.23.21-70 50-30 14. 42. 45-97 45-59 59-62 Dec. 21. 21. 9. 30-1 229. 29. 39-94 86. 44. 29-84 48-94 15.11.48-36 47-78 59-42 1792. Feb. 17.20.40.37-8 277. 30. 58-12 84. 49. 16-45 49-64 18. 31. 30-35 30-38 60-03 Mar. 18. 21.23. 1-7 316.49. 0-75 86. 9.13-60 49-89 21.12.21-20 20-87 59-67 Sub. 60-00 * SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [313] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E.N. P.O. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R.A. of Moon's Center from Observation. Excess of Observed R. A. 23. IT. d b m O ' " O ' * n b m s , 1794. Aug. 21.21.39. 51-8 114. 5.17-36 92. 7.41-21 50-96 7.42.21-69 22-17 60-48 Sep. 20.22. 1.50-4 148. 11. 11-02 89. 1. 4-74 51-39 10. 2.49-56 50-46 60-90 Nov. 26. 3. 3. 35-5 290. 30. 44-91 88. 15. 34-00 50-79 19. 27. 38-33 38-86 60-53 1795. Feb. 14.20.35.28-4 273. 39. 49-72 86. 59. 38-63 51-80 18. 15. 37-00 37-16 60-16 May 21. 2. 50. 49'7 101.21.46-13 91. 42. 57-09 51-82 6.48.48-01 48-14 60-13 Aug. 9. 20. 9. 9-6 81. 18.47-20 93. 14. 12-50 52-65 5.23. 4-49 4-79 60-30 18. 3. 0.21-5 191.14. 2-16 85. 1. 46-97 52-86 12.49. 4-99 5-39 60-40 Sep. 2.15.20. 1-4 32.21. 3-33 95. 8.27-99 53-20 2. 7.45-90 49-27 63-37 7. 19. 58. 58-2 105. 36. 36-34 91. 8.25-43 53-30 7. 7. 11-45 12-25 60-80 15. 1.37.54-1 198.44.49-71 84. 58. 53-40 53-40 13. 16. 48-25 47-79 59-54 16. 2.20.21-5 211. 11.55-83 84. 55. 48-07 53-40 14. 3.19-04 18-70 59-66 Nov. 15. 2.46. 42-6 276. 6.48-05 88. 38. 38-91 53-07 18.26.22-13 21-66 59-53 1796. Mar. 4.20.54.54-2 295. 11. 46-03 90. 35. 46-79 54-45 19.49. 4-75 3-95 59-20 14. 4. 32. 16-7 62.41. 3-44 93.34. 15'58 54-58 4. 5.23-59 23-70 60-11 15. 5.29.14-6 77. 27. 17-32 92. 32. 5-84 54-59 5. 6.28-35 28-62 60-27 Apr. 3.21.15.37-3 328. 38. 47-80 93.26. 6-G9 54-66 22. 8. 8-57 7-70 59-13 12. 4.21.18-2 87. 23. 31-39 91.29. 3-11 54-63 5. 48. 45-34 45-85 60-51 22. 12. 43. 28-9 223.31. 5-72 85. 38. 40-60 54-53 14. 49. 34-04 33-27 59-23 Aug. 14. 9. 8. 5-4 280.21.57-80 90. 0.20-44 55-20 18.45. 6-74 7-06 60-32 26. 19. 6. 26-4 83. 4.35-43 91.26.41-95 55-51 5.30. 9-73 10-44 60-71 27.20. 6.54-3 97.58.50-15 90. 7.45-88 55-54 6. 34. 43-46 43-92 60-46 Oct. 6. 4. 4. 19-7 258. 15. 5-92 88. 30. 43-50 55-95 17. 9.27-98 28-19 60-21 9. 6.31.28-1 294.56. 9-22 91. 42. 19-09 55-95 19. 48. 50-85 51-20 60-35 1797. Jan. 23.21.23.34-1 265. 11.58-08 89.25.15-71 56-02 17. 39. 10-02 9-98 59-96 31. 2.51.5T8 351.50.31-77 95. 5.31-43 56-21 23.38. 8-70 8-65 59-95 Feb. 20.20. 7.40-2 273. 4.39-47 90. 17.22-99 56-75 18.13.26-85 26-62 59-77 21.20.57. 0-5 285. 14. 46-67 91.21.26-73 56-77 19. 6.52-08 51-63 59-55 Mar. 1. 2.18.10-9 13. 52. 48-61 94.51. 7-52 56-93 0. 58. 37-00 36-92 59-92 May 1. 4. 19. 47'3 103.53.49-91 88. 10. 26-55 56-99 7. 1. 12-80 13-00 60-20 22.21.31.18-8 24.10. 8-55 94.29. 4-33 56-74 1.36. 7-54 7-02 59-48 Sub. 1 60-00 GRBKNWICH LUNAR REDUCTIONS. 2[S] [314] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P.O. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation Excess of Observed R. A. 23. IT. 4 21. 4.27.20-2 96. 22. 46-38 87. 14. 31-67 59-55 6. 28. 23-33 23-25 59-92 June 11.22.22. 2-1 58.20. 4-78 90. 32. 7-06 59-05 3.44.50-31 49-78 59-47 28. 12.46.31-1 286. 46. 54-98 93.32. 6-56 59-13 19. 14.45-02 43-91 58-89 July 6.18.41.48-2 26. 26. 55-47 93. 6. 38-08 59-24 1.42.39-33 38-80 59-47 15. 1.58.43-0 139.32.35-30 85. 1.56-17 59-39 9. 34. 28-50 28-46 59-96 30. 14. 37. 34-7 344. 58. 36-70 94. 54. 19-38 59-72 23.12.23-14 23-13 59-99 Aug. 7. 20. 39. 25-7 86.58.37-81 87. 48. 10-94 $9-93 5. 46. 35-86 35-52 59-66 8.21.40. 1-0 101.30. 1-33 86.44. 8-97 69-96 6. 51. 16-69 15-81 59-12 Sep. 5.20.23.51-6 109. 7.38-39 86. 4.55-82 60-57 7.25. 17-81 17-85 60-04 Oct. 13. 3.21.21-2 254.34.29-15 91.42.39-15 60-74 16. 52. 10-45 10-12 59-67 16. 6. 8.47-7 295. 6.26-51 94.30. 5-70 60-72 19.61.51-11 51-29 60-18 Dec. 3.21. 3.20-7 210. 17. 23-56 87. 47. 44-56 60-11 13. 55. 52-07 52-47 60-40 10. 2. 38. 45-4 296. 31. 39-35 94. 36. 38-16 60-08 19.58. 6-04 6-06 60-02 1799. Feb. 19.12.11. 6'4 148. 27. 40-84 85. 3. 6-61 61-29 10. 9.38-94 39-33 60-39 Apr. 9. 3. 6.12-9 66. 51. 39-86 88. 6.48-87 61-67 4. 18. 42-01 41-68 59-67 June 29.21. 43. 47'9 66.21. 8-22 88. 5.47-01 61-03 4. 16. 30-35 30-57 60-22 July 6. 3. 8. 43-7 148. 5.31-57 85. 4.56-38 61-10 10. 8. 10-01 11-15 61-14 Sub. 60-00 - SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [315] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A. of Moon's Center, Seconds of R. A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. tl h in s O 1 II O ' ff // 1" m s 3 s 1799. July 7. 3.58.49-4 162. 28. 36-00 85. 32, 52-98 61-11 11. 2.19-34 20-44 61-10 28.21.18.34-4 86. 45. 50-19 86. 27. 22-44 61-52 5. 45. 30-12 29-89 59-77 Aug. 3. 1.53.25-8 157.20.42-13 85. 30. 0-97 61-64 10.43. 3-82 4-22 60-40 25.20. 1. 7-6 94. 2.54-85 85. 50. 53-75 62-14 6. 18. 13-34 13-31 59-97 Sep. 26.22.21.55-8 158. 1.55-03 85.31.51-49 62-50 10. 45. 37-06 36-72 59-66 Oct. 2. 2.43.45-1 235.19. 7-57 91. 39. 30-02 62-49 15.30.11-05 9-42 58-37 25.21.48.42-4 180. 26. 52-32 86. 51. 33-63 62-29 12. 6. 38-96 38-81 59-85 Dec. 18. 17. 33. 4T> 168.23.49-21 86. 15. 12-26 61-65 11.23. 15-26 15-14 59-88 22.20.50. 2-8 226. 53. 25-81 91. 1.58-41 61-67 14. 56. 26-39 26-76 60-37 1800. Jan. 2. 5.50. 4-9 9.51.53-15 92. 5.42-66 61-76 0. 39. 32-94 32-27 59-33 3. 6.29.55-5 22. 8. 2-43 91. 3.36-93 61-77 1. 23. 26-40 26-03 59-63 21.21.37.42-5 266. 6. 5-20 94. 2.59-51 62-09 17. 42. 27-98 26-95 58-97 27. 2. 18. 9-6 338. 13. 42-97 94. 0.50-43 62-20 22. 45. 39-34 39-58 60-24 Apr. 18.20.51.31-8 336.30.59-16 94. 7. 8-64 62-88 22. 39. 20-02 19-45 59-43 28. 3.25.47-7 88. 17. 53-45 85. 23. 20-51 62-73 5. 52. 18-61 19-21 60-60 June 25. 2. 43. 23-0 130. 43. 24-49 85. 9.20-05 62-15 8. 58. 25-57 26-05 60-48 26. 3.31.15-4 143. 43. 54-71 85. 35. 29-28 62-15 9.50.20-75 21-66' 60-91 July 12.17.32.14-7 14.31.18-05 90.46. 6-83 62-33 0. 54. 39-45 38-99 59-54 24. 2. 15. 42-4 152.52.53-10 86.12.48-35 62-52 10.24.58-24 59-23 60-99 Aug. 15. 20. 50. 26-5 96. 2. 6-43 85. 4. 8-39 62-97 6.27.19-13 19-24 60-11 16.21.43. 9-5 108. 41. 24-43 84.55. 3-26 62-99 7.24. 7-20 7-64 60-44 Sep. 15.22. 5. 9-8 142.16.30-12 85. 38. 48-90 63-42 9. 44. 30'64 30-76 60-12 Oct. 10. 18. 15. 23-2 110.34.55-47 84. 42. 57-57 63-36 7. 32. 37-82 38-25 60-43 1801. Feb. 1.14.36.54-4 169. 10. 18-45 88. 8.34-32 62-95 11.23. 7-46 6-49 59-03 Apr. 3. 16. 20. 52-4 258. 24. 47-92 94. 56. 26-30 63-51 17. 7.39-74 39-80 60-06 May 15. 2. 9. 11'3 85. 56. 13-08 84. 59. 42-39 62-81 5.41.35-34 34-87 59-53 June 16. 4. 7.33-1 143. 5. 1-13 86. 37. 14-25 62-41 9.46.20-76 20-80 60-04 Aug. 5.21.41. 0-1 98. 18. 47-72 84. 55. 39-87 62-92 6. 37. 38-71 39-41 60-70 Sep. 29. 18. 18. 48-8 101.26. 6-92 84. 49. 23-52 63-43 6.51.45-20 45-22 60-02 Dec. 2.21.32. 2-1 217.57. 1-53 93. 17. 52-33 62-32 14. 17. 50-70 50-49 59-79 Sub. 60-00 [316] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E.N. P.O. of Moon's Center. Tubular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R.A. of Moon's Center from Observation Excess of Observed R. A. 23. 27'. d h m a 1 Off n h m s s s 1901. Dec. 31.21. 4.47-9 239. 29. 25-49 94.35.19-01 62-19 15.44.47-63 47-53 59-90 1802. Feb. 19. 13. 50. 12-5 176.30.43-61 90. 32. 28-60 62-92 11.46.20-34 19-89 59-55 26. 19. 36. 58-1 270. 18. 18-27 95. 12.21-26 63-02 18. 1.23-11 24-32 61-21 Mar. 28. 20. 28. 57'2 309.31.55-35 93.28. 1-55 63-08 20.51.52-23 52-13 59-90 29. 21. 23. 59-0 324.39.23-16 92. 18. 34-68 63-07 21.51. 1-19 1-52 60-33 Apr. 6. 3.20.21-0 67. 19. 5-58 84.54. 2-64 62-99 4. 18. 15-52 15-47 59-95 May 4. 2. 2. 16-7 74.34. 8-06 84.55. 8-03 62-45 4.50.22-85 22-35 69-50 June 11. 8.18.34-7 207. 34. 16-56 93.21. 8-61 61-77 13. 37. 24-89 24-83 59-94 25.20.53. 4-1 50.31.15-51 85. 23. 28-77 61-69 3. 6.60-45 59-45 59-00 Sep. 23.22.10.49-4 152. 42. 38-08 89.10.46-74 62-51 10. 19. 54-25 54-80 60-55 1803. Aug. 12. 20. 49. 68'9 92.42. 4-02 85. 54. 30-02 60-43 6.12. 9-25 8-47 59-22 13.21.46. 2-4 106. 16. 34-35 86.48.27-33 60-44 7. 12. 20-05 19-51 59-46 Sep. 9. 19. 41. 57-7 102. 10. 30-91 86. 32. 39-08 60-67 6. 54. 20-96 20-89 59-93 12.22. 9.33-8 141. 6.51-45 89. 47. 59-94 60-67 9. 34. 17-47 17-78 60-31 1804. July 3.21. 9.29-0 62. 19. 54-75 85. 20. 59-08 57-53 3. 56. 56-24 56-56 60-32 1805. Feb. 24.21. 3.46-5 288.48.25-76 90. 33. 39-07 56-48 19.21.48-67 48-04 59-37 May 25.21.42.36-4 32.52. 1-34 85. 1.52-41 54-93 1. 55. 30-05 30-77 60-72 July 21.20. 8.51-2 64. 15. 6-52 86.26.41-22 54-48 4. 6. 10-00 10-29 60-29 1806. Feb. 13.21. 4. 52'6 278. 52. 39-07 89.47. 3-70 53-04 18. 38. 35-45 35-91 60-46 May 20. 2. 4. 17' 1 88. 59. 51-61 90. 3.12-72 51-66 5. 55. 37-86 37-64 59-78 June 13.21.48.34-1 52. 8.32-99 86. 52. 49-24 51-15 3. 15.26-83 26-40 59-57 1807. Aug. 28. 20. 21. 34-8 101. 1. 9-91 92.56. 11-99 47-97 6. 46. 54-41 54-51 60-10 29. 21. 17. 55-9 115.36.32-74 93.52. 7-24 47-97 7.47.21-98 21-48 59-50 Sep. 24. 18. 10. 25-7 95. 7.20-20 92. 44. 46-27 47-92 6.21.52-23 52-05 59-82 Dec. 3. 3. 29. 23-4 302. 57. 40-62 85.18.58-58 46-29 20. 16. 34-38 34-42 60-04 1808. Jan. 22.20.25.39'! 249. 10. 54-94 89. 4. 3-04 46-07 16.30.33-21 33-00 59-79 June 26. 2. 6. 31-6 125. 17. 33-84 94.57.54-17 44-50 8. 25. 38-77 39-86 61-09 July 18. 20. 36. 14-3 67. 17. 17-24 91.35. 3-80 44-54 4. 23. 0-60 0-91 60-31 19.21.26.32-3 80. 0.47-85 92. 36. 29-52 44-55 5. 17. 22-24 22-97 60-73 Sep. 15.20.30. 2-1 121.15. 6-27 95. 0.55-93 45-03 8. 9.23-39 23-41 60-02 Sub. 60-00 SECT. IV. COMPARISON OF MOON'S OBSERVED AND TABULAR RIGHT ASCENSION. [317] Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E. N. P. D. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R.A. of Moon's Center. Seconds of R. A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. d h m 9 o / // O ' // // tl III 8 t s 180S. Sep. 16.21.21.23-5 135. 16. 46-60 95. 7.51-69 45-03 9. 4.49-72 49-70 59-98 Oct. 15.20.50.10-4 157. 1.29-83 94. 47. 30-64 44-65 10. 27. 52-01 51-70 59-69 Dec. 20. 2. 46. 10'2 309. 46. 51-69 84. 51. 38-73 43-23 20. 43. 16-70 16-40 59-70 1809. Jan. 27. 9. 8.38-4 84. 28. 37-52 93. 38. 50-33 43-40 5. 36. 34-66 34-44 59-78 Feb. 9. 20. 25. 19'0 266. 15. 39-61 86. 8.41-14 43-58 17.44. 9-78 9-26 59-48 18. 3. 9. 8-2 17.40. 0-42 88. 27. 50-23 43-68 1. 2.46-44 46-74 60-30 Mar. 10. 20. 13. 25-1 290. 45. 24-09 84.58.67-19 43-82 19. 26. 36-51 35-53 59-02 Oct. 14. 4.40.52-1 273. 8.45-00 85. 3.22-74 42-49 18. 13. 13-14 13-32 60-18 1810. Mar. 10. 4. 10. 57'9 52. 14. 35-23 93. 11. 4-90 42-00 3.22.41-75 42-08 60-33 28. 19. 13. 10-5 293. 7. 18-78 84. 46. 30-37 41-94 19. 36. 11-29 10-60 59-31 Apr. 28.20.41.31-0 346. 39. 24-73 87.32. 8-82 41-40 23. 7. 3-69 2-72 59-03 May 11. 6.11.57-4 141. 3.58-02 94. 9. 16-39 41-14 9. 28. 25-84 25-76 59-92 28.21. 3.55-2 23. 22. 30-44 90. 52. 40-46 40-78 1. 27. 49-49 48-49 59-00 Nov. 22. 20. 59. 2-1 197. 4. 13-40 88. 51. 12-34 40-47 13. 4.41-62 41-30 59-68 Dec. 29. 3. 10. 4-2 323. 53. 11-47 87. 1.36-17 40-17 21.40.49'51 49-G1 60-10 1811. Mar. 28. 3.34.47-1 60. 15. 13-46 94. 45. 15-27 41-18 3. 56. 27-96 27-77 59-81 Apr. 18.20.56.57-7 339.31. 5-96 88,31. 2-39 40-93 22.42. 5-83 6-25 60-42 27. 3.57.43-0 94.13.21-40 95. 6.52-01 40-78 6.17.43-15 43-18 60-03 June 12. 17. 42. 5'9 344. 55. 48-92 89. 23. 37-02 40-06 23. 3.33-72 33-81 60-09 14. 19. 24. 19-8 13. 51. 48-57 91. 53. 53-79 40-05 0. 53. 58-81 58-55 59-74 16.21. 5.42-1 42. 6.53-11 93. 52. 45-66 40-04 2.43.31-82 30-37 58-55 1812. May 26. 12. 35. 36'0 253. 48. 10-07 85. 4. 56-02 40-68 16. 52. 11-72 12-22 60-50 1813. Jan. 24.18.33. 1-9 223. 1.23-57 84. 45. 58-69 41-70 14. 48. 42-38 43-14 60-76 1814. Aug. 8. 18. 6. 52-8 49.45.56-18 94. 38. 49-71 45-03 3. 14. 24-06 11-62 47-56 1815. Jan. 21. 8. 38. 40'0 71.25.18-81 92.46. 5-56 45-87 4.41. 6-90 8-62 61-72 22. 9.38.53-2 86. 38. 13-61 91. 29. 21-94 45-91 5. 45. 30-16 30-34 60-18 1816. Apr. 18. 18.13.14-1 297.27.20-10 93. 22. 13-53 49-60 20. 1. 0-38 1-19 60-81 Aug. 13. 16. 22. 52-0 28. 42. 30-92 93.30.54-14 50-18 1.51.44-64 44-27 59-63 1818. Sep. 11. 9.43.52-0 312. 33. 53-34 95. 2. 4-69 54-39 21. 6. 14-74 14-09 59-35 1820. July 2. 18. 7. 42-4 14.37.22-48 88. 23. 14-32 53-77 0.51.19-21 20-02 60-81 Sub. 6o'-00 GREENWICH LUNAR REDUCTIONS. [318] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. Greenwich Mean Solar Time of Observation of Moon's Limb. Tabular Longitude of Moon's Center. Tabular E.N. P.O. of Moon's Center. Tabular Obliquity of Ecliptic. Resulting Tabular R. A. of Moon's Center. Seconds of R.A. of Moon's Center from Observation. Excess of Observed R. A. 23. 27'. d h m s O ' " o / // h m s s , 1822. Jan. 9.14.16.53-9 140. 25. 55-63 89. 31. 29-57 51-80 9. 31. 58-60 58-69 60-09 13. 17. 7. 55-0 192.18.47-54 93. 47. 29-86 51-84 12. 39. 18-50 18-71 60-21 Apr. 6.12.16.48-1 201. 58. 11-35 94. 18. 48-77 52-20 13. 14. 37 97 37-48 59-51 May 14. 19. 1.45-4 336. 22. 18-44 88. 36. 23-89 51-31 22. 30. 27-51 27-91 60-40 Oct. 22. 5.38.17-9 293. 16. 11-98 , 91.41.11-44 50-71 19.41.42-65 42-55 59-90 1823. Mar. 1.15.54.11-2 221.33.21-39 95.10.42-01 49-87 14. 29. 39-36 39-69 60-33 1825. Jan. 31. 9.45. 4-8 96. 47. 58-26 90. 38. 40-07 43-06 6. 29. 28-79 29-16 60-37 1827. Sep. 27. 5. 29. 47'1 268. 32. 21-64 85. 50. 14-68 35-48 17. 53. 49-57 49-80 60-23 1828. Nov. 24. 14. 44. 1-6 104. 7. 3-32 95. 7.30-02 32-50 6.59. 4-03 2-88 58-85 1829. Feb. 27. 19. 19. 30-9 267. 33. 17-80 84. 50. 51-78 32-97 17. 49. 44-46 45-92 61-46 1830. Mar. 29. 4. 44. 25'9 78. 29. 24-77 95. 16. 10-20 32-66 5. 11.50-66 50-47 59-81 Sep. 3. 12. 57. 47-0 355. 54. 37-83 91.25.44-04 32-74 23. 47. 15-80 15-20 59-40 Nov. 21. 4.35. 9-5 307.27. 6-18 87.35. 7-24 32-17 20. 36. 53-05 52-80 59-75 Sub. 60-00 1830. Sep. 3. The time of Transit in the Printed Observations is diminished l m . ROYAL OBSERVATORY, GREENWICH. REDUCTION OBSERVATIONS OF THE MOON, From 1750 to 130. SECTION V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. CHKKNWICH LUNAR REDUCTIONS. 2 [U] [320] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF ELLIPTIC INEQUALITY. ANNUAL GROUPS FOR SMALL VALUES OF ELLIPTIC INEQUALITY. I > Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for 0"' I in Argument. Sum of Parallactic Inequality. <*- e o_o 1.2 f x > aum or Change for Os-1 in Argument. Sum of Annual Equation. = c'3 S w 3 w to ; H ISum of Change for 0'l 1 in Argument. CO *- C . I sC 11 z c Sum of Excess of Observed Longitude. _u .?>> E^H 1 g a 5 "" ifj Sum of Change for Os-1 in Argument. .H >. Ill l|l Sum of Variation. bum ot Change for 0-1 in Argument. Sum of Annual Equation. *- a c.2 e u = Sum of Change for 0'l in Argument. 1750 17 it 891-50 g * 78. 56 / 564-3 e v 25.09 6.82 13 // 716-53 e * 28.67 \ \\ 34.06 481-6 s v 7.08 4. 12 41.93 88.83 11.94 5.66 16.08 s ( 6.69 3.29 1751 51 2678-66 600. 87 10. 13 87.18 35.09 3.60 832-1 80. 81 13.95 58 3540-69 115.18 121. 55 243. 40 36.47 L7.41 1560-8 79.78 19.50 1752 73 3999-01 25. 24 54.27 240. 22 49.45 20.58 1081-1 04. 23 18.51 65 3937-67 167. 95 131. 92 293. 12 47.51 17.51 1723-2 95. 63 21.09 1753 65 3536-81 38. 56 131.35 82.69 42.64 6.04 1172-4 96.44 18.66 64 3587-28 153. 29 118.69 295. 10 53.61 15.26 1673-4 80.44 18. 22 1754 66 3537-91 77.18 29.02 57.28 43.30 20. 13 1741-6 96.72 18.46 68 4038-42 166. 51 144. 56 254. 45 43.42 19.90 1433-0 76.33 22.10 1755 54 3144-82 641.64 114.22 70.48 32. 95 15.05 1374-0 82.84 14.67 47 2799-70 111. 14 98.77 187. 53 30.90 10. 62 885-7 44.23 14.34 1756 66 4065-34 754. 98 133. 26 263. 75 49.15 8.70 1935-5 82. 14 19. 44 53 3042-87 115. 65 118.00 162. 03 34.96 15.42 737-7 76.56 16.65 1757 60 3459-88 680. 02 123. 22 235. 12 48.51 17.16 1639-6 83.21 20.33 55 3196-20 130. 72 109. 81 177. 58 38.34 16.64 810-2 93.43 16.56 1758 65 3674-62 739. 25 133. 92 251.25 54.29 16.04 1561-1 117.44 24.18 53 3094-45 127. 05 114.00 183.11 33.39 14.43 1046-0 70.65 16.49 175: 65 3821-97 74G. 69 127.81 268. 38 47.69 17.27 1285-8 120.18 18. 13 77 4524-08 207. 40 163. 48 284. 87 53.8 22.88 1917-9 110.64 24.94 1760 57 3176-07 657. 59 108. 88 179. 04 36.89 15.91 677-6 86.06 13.82 43 2702-67 119.31 78.55 173. 80 33.26 13.3 1158-8 72.89 12.25 1761 35 1962-99 420. 48 69. 2-2 108.82 21.17 9.46 589-2 51.39 9.25 28 1841-64 73.09 51.68 127. 22 24.8 7.2: 875-1 40. 62 7-73 176-2 31 1765-34 340. 39 57.38 71.67 17.50 9.29 615-7 40.26 8.99 30 1712-49 75.49 55.64 94.49 18.33 8.1- 747- 35. 90 10. 44 1763 35 1867-55 390. 87 65.19 109. 86 21.47 8.18 781-5 59.11 10.10 41 2407-10 90.76 89.71 184.41 28. 50 10.2 955-4 41.32 11.41 1704 30 1875-04 359.17 63.35 138.31 28. 2o 7.56 559-2 55.54 10.50 30 1855-Sf 68.33 67.45 85.57 16.75 9.0 307-6 40.97 11.27 1765 61 3841-09 708. 58 119.91 247. 58 42.28 20. 5- 1980-7 70.42 18.18 28 1754-83 100. 16 56.28 123. 52 18.7 7.1 781- 25-44 9.91 1766 54 3096-78 615. 08 104. 76 219.79 47.7 15.60 1664-9 67.78 20.50 37 2235-23 113.67 76.13 124. 66 21.7 8.8 573-7 51.34 12.17 1767 52 2964-75 595. 00 102.91 206. 6! 43.3 13.02 1218-8 100.15 18.36 59 3480-45 148. 95 120. 87 213. 65 43.8 16.7 1201-4 74.55 18.45 1768 61 3694-70 722. 57 123. 33 202. 9f 44.96 16.1 967-6 104. 26 17.09 51 3189-21 119.94 108. 07 206. 6b 37.1 15.0 1136- 63.76 15.23 1769 46 2672-87 509. 54 94.43 177.7 36.0 11.2 856- 77.65 13.17 70 4822-7( 182.68 134. 74 311.05 49.9 21. 1 1888-9 105. 74 22. 24 177< 46 2736-69 499. 47 84.54 203. 86 30. 7 12.8 694-0 59. 2S 12.44 65 4451-12 173. 42 124. 54 255. 60 47.3 17.5 1947-5 91. 13 19.37 1771 59 3459-77 693. 34 116.65 184.6 43.2 15.9 1156- 87. OC 16.90 53 3255-75 129.53 103.5 231.94 39.0 15.0 1378-2 70.6C 14. 15 1772 36 2031-53 428. 57 73.01 133.0 23.5 11.5 681- 45.64 11.0 30 1895-72 87.3" 56.30 131. 70 20. 44 6.9 722-6 22. 27 8. 90 1773 52 32823" 591. 50 101.81 181.7 38.4 15.7 1481- 74.86 15.12 45 2872-53 112. 46 88.69 173.62 30. 4S 12.2 756-6 53.87 14.96 1774 52 3468-1 603. 69 110.35 183.5 40.7 15.6 1555- 65.05 16. 24 58 3530-00 130. 98 118.60 218. 33 37. 31 16.3 658- 96.61 19.31 1775 24 1542-01 265. 04 46.93 87.3 19.7 5.4 474- 40.19 6.39 44 2745-20 126. 5E 75.29 180.7 31.62 14.3 359- 83.86 13.42 1776 49 3089-35 555. 32 97. 11 189.4 35. 7 12.3 1126- 86.29 17.12 66 4172-16 169. 5S 138. 58 207. 95 46. 5f 20.3 1370- 95. 72 19. 12 1777 54 3516-03 609. 14 107. 32 198.6 42.4 13.7 10-24- 104. 65 16.3 64 4090-16 151.2" 120. 56 230.4 48.73 17.8 1669- 83.28 21. 80 1778 56 340398 fi-25. 9- 107.82 206.2 35. 1 14.5 892- 93. 9H 12. 36 63 4440-50 155.8 123.09 277. 79 49. 44 18.1 1773- 83.07 18.69 Subtract for each Observa- II 60-00 K x 7.02 \ \\ 2.00 4.00 s ' 0.76 30 20-8 f " 1.42 30 // 60-00 K v 0. 76 \\ 30 20-8 K v 1.42 30 7.02 2.00 4.00 tion. SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [321] ANNUAL GROUPS FOR LARGE VALUES OP ELLIPTIC ANNUAL GROUPS FOR SMALL VALUES OF ELLIPTIC INEQUALITY. INEQUALITY. C 8 J^< Number of Obsevations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for Oe- 1 in Argument. Sum of Parallactic Inequality. Sum of Variation. Sum of Change forOS'l in Argument. Sum of Annual Equation. u- O 0.2 i! CO [2 Sum of Change for Os-1 in Argument. 1 Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for fle-1 in Argument. Sum of Parallactic Inequality. Sum of Variation. *.%* Sl III -= 5 O Sum of Annual Equation. '*. C O O ^ s l ? o 3 = a a eg If.? z: 5 1779 39 ft 2306-39 * * 461. 47 88.46 \ \\ 171. 72 g ' 25.67 X 11.86 \ 364-8 e N 38. 35 \ \\ 11.41 23 it 1513-36 g * 64.65 418-7 f * 35.79 6.59 57.15 73.42 18.60 5.56 1780 48 2917-78 564.40 104.25 140. 73 35.06 15.07 882-4 70.25 15.64 46 2924-11 117.38 89. 13 212.72 34.35 11.70 1244-y 53.32 11.07 1781 48 2948-34 552. 82 94.97 155. 36 34.19 12.77 1150-8 87.22 13.45 49 3087-30 134. 16 93.76 167. 46 33.27 13.13 983-0 49.30 15.73 1782 51 3312-96 566. 87 104.43 185. 70 37.04 15. 15 1408-0 62. 28 53. 59 53 3478-22 123. 70 110.21 209. 89 35.06 13.87 930-5 58.75 17.39 1783 59 3810-67 662. 77 122. 80 204. 89 46. 35 15. 72 1599-7 84.71 18.36 62 3790-03 154. 39 127.05 205. 43 43.31 17.23 784-2 86. 20 19.85 1784 1785 56 58 3361-88 3587-27 641.63 651. 97 117.02 106. 55 223. 44 210.60 44.34 43.89 15.60 14.61 1523-5 1156-1 92. 74 103. 14 18.89 18.33 44 60 2762-28 3827-57 117.34 151.49 86.44 124. 42 192.21 231.41 35.34 42.90 14.76 18.38 524-6 1167-4 83.04 89.31 12. 72 18.48 1786 52 3291-35 612. 89 94.40 176. 56 35.12 13.53 720-6 92. 80 12.88 64 4125-88 159.67 120. 53 264. 91 53.30 19.81 1307-7 91.43 17.75 1787 47 2809-75 540. 73 89.84 174. 85 30.40 12.11 753-0 77.01 11.16 70 4791-76 158. 83 142. 25 295. 21 51.42 18.93 1890-2 97.27 21.61 11788 52 H03-30 573. 19 97. 45 156.06 36. 46 15.68 828-9 70.66 13.98 G2 4186-21 140. 46 112.78 271.18 52.13 18.11 1703-4 94.00 10.05 1789 48 2931-46 567. 65 95.95 142. 34 31.94 15.73 942-3 64.05 13.28 63 4115-73 154. 33 121.09 233. 25 43.77 IS. 18 1496-3 79.96 18.90 1790 49 3098-36 567. 61 99. 82 161.77 34.98 13.04 1216-2 82.88 13.93 49 3355-37 137. 65 93.88 164. 07 39.99 13.25 818-2 50.58 15.66 1791 59 3950-92 680. 07 108.78 236. 93 48.77 18.33 1650-7 77.09 17.74 52 3468-95 122. 81 101.76 192. 75 33.94 15.41 823-8 64.90 19. 34 1792 39 2643-81 466. 21 84.35 118.89 26. 58 11.35 1103-7 48.90 11.51 48 2982-48 123. 90 92. 36 170. 47 35.35 13. 62 505-7 70. 32 14.35 1793 50 3151-01 571.21 103. 94 205. 23 38.23 13.84 1136-8 76.06 16.15 56 3583-87 135.28 108.90 176.68 39.18 15.84 978-3 77.84 18.05 1794 51 3283-56 587. 62 115.26 200. 10 38.73 13.21 1202-3 90.37 16.05 57 3836-19 133.29 116.55 206. 98 37.48 19.77 1198-6 100. 45 18.33 1795 60 4071-13 715.86 123. 96 224. 63 46. 19 16.26 1006-8 98.87 16.20 63 4148-37 163.77 125. 48 227. 16 45.54 20.73 1725-2 96.79 21.36 1796 60 3484-66 710. 89 113. 54 214. 18 38. 05 15.71 798-8 84. 45 15.75 62 3973-84 143. 78 116.48 229. 52 42. 31 18.18 1685-1 88.93 19.23 1797 48 285344 546. 70 86.98 162. 66 33.07 12.06 895-9 81.06 14.94 41 2578-11 90. 83 78.72 213.63 32.11 10.58 1162-8 62.44 10.48 1798 53 3147-53 592. 16 102. 23 148.24 29.55 14. 28 1201-4 80.27 14.40 60 3782-64 179. 70 129. 35 243. 49 46.53 15.17 1326-3 72.17 15.49 1799 54 3170-95 611. 78 104. 33 211.52 40.68 14.93 1288-7 83.94 15.42 43 2699-03 110.69 84.13 153. 07 31.61 11. 18 900-1 49.63 13.84 1800 62 3740'33 715. 44 125. 89 232. 62 44.25 19.81 1767-4 72.48 18.59 55 3552-15 134. 75 115.07 191.95 34.19 16.33 889-7 76.79 20.06 1801 62 3818-42 703. 50 124. 89 253. 13 50.13 17.23 1660-5 83.66 18.87 77 4757-57 195. 19 151.78 263. 67 47.90 20. 66 1176-7 108. 55 26. 58 1802 88 4970-45 1000. 33 178. 69 356. 29 64.78 22. 99 2073-9 145. 86 28.52 54 3408-62 154. 85 114.41 202. 09 36.32 16.64 909-0 81.73 16.43 1803 62 3710-09 717. 44 134. 23 237. 32 44.35 15.41 1304-1 108. 49 17.28 81 5055-21 220. 40 167. 73 272. 90 48.86 24.19 1919-9 1 10. 02 27. 85 1804 43 2609-45 472. 88 79.79 159.42 35.01 11.04 755-5 71.39 12.89 54 3373-14 148.56 113.21 234. 50 40. 42 16.27 1430-5 90.80 17.66 ISOo 56 3039-19 669. 61 120. 29 211.83 35. 30 17.96 696-0 71.43 12.91 54 3527-91 119. 63 102.43 223. OS 35.93 14.69 1392-7 86.27 16.86 1806 52 2993-03 598. 18 97.97 170. 98 38. 17 14.44 948-9 74.05 15.46 60 3839-54 145. 94 115. 54 259.51 40.36 18.36 1698-1 81.78 17.75 1807 52 2970-39 599. 41 109. 87 172.77 36.15 18.20 995-3 58.24 14.94 57 3434-65 169.54 113. 86 242. 40 42. 86 15.93 1298-2 63.44 16.08 Subtract for each Ol'Serva- // 60-00 x 0.76 30 I 20-8 g 1.42 U 30 # 60-00 g 7.02 2.00 \ U 4.00 g 0.76 30 20-8 g * 1.42 30 7.02 2.00 4.00 tion. 2 [U] 2 [322] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF ELLIPTIC ANNUAL GROUPS FOR SMALL VALUES OF ELLIPTIC INEQUALITY. INEQUALITY. = 1 I.. i. . 'S 1 _li T3 3 C c- <* c _tg | ! f- '2 sl-s 1U S3 ..-A u- a u w fe B L u- e : j o U <- ~ s . "- !8 tS u 3 5 3 0,0 g o s .^ l <2 S <-2 O_o *2 5 S. S w S3 S'"3 *2 2 J S ' S <-2 si -= > **- So -^ 2 P aj 3 a "* a.S S l) 3 < * s'S 3 v 3 : tj ^ tfj *~* <_ 3 4J E 2 CB a 3 ** ^e Bo Quo _W G V 3 if to *5 S 3 B fit Pp V2 ^ JH 1 3 U M < 1 S gO g s S. S tTj tQ GO 9 J "1 " CO J g So o 3 3 8 = g> z o I 13 " 2 CO a.s (-5 S.s s CO SA C 3 *o ^ CO 3 CO 6.5 AS S.1 CO u.S g * \ v\ > vv , > e \ \\ S * V e v > > v . 1808 68 4008-95 784. 02 133. 36 271. 80 53.83 19. 05 1645-1 98.55 20. 63 52 3383-23 131.30 113.73 196. 86 39. 7S 13. 13 921-7 .56. 02 16. 22 1809 49 3088-40 564. 19 104. 95 183. 90 36.37 14.74 1357-8 68.33 13.95 45 2909-74 126. 68 93.54 150. 37 29.24 11.76 693-8 54. 45 14. 72 1810 52 3231-31 586. 39 1 12. 66 223. 30 36.99 13.20 1447-1 81.31 14.26 55 3440-91 140. 95 115.02 191.35 32. 47 16.59 927-5 83. 80 18. 11 1811 47 2716-25 536. 07 95.22 158. 48 38.45 12.25 1004-0 81.81 15.68 55 3360-78 144. 56 118.16 234. 03 40.03 14.62 965-4 68.74 15.99 1812 54 3294-53 604. 16 96.66 184. 96 37.98 14.30 842-7 89.31 14.62 51 3094-05 125. 58 104. 49 177. 07 31.82 13.86 1360-3 69.58 18.15 1813 53 3260-90 620. 85 108. 04 188.75 27. 85 12.01 878-1 95.71 10.52 60 3830-07 157. 13 116.50 224. 04 41.88 16.86 1598-9 82.67 18.16 1814 39 2164-38 452. 96 79. 52 129. 21 23. 19 11.44 482-5 49.94 10.52 50 3215-44 120. 43 98.45 198. 14 38.62 14. 11 1457-5 74.93 12.84 1815 47 2500- 14 546. 65 87.49 120. 68 28.91 13.19 840-5 61.79 13.79 48 2904-01 121.97 90.23 233. 86 37.59 12.73 1357-7 61.96 13.05 18 IB 42 2348-72 482. 55 78.96 164. 00 32.89 12.86 868-4 61.63 13.79 35 2069-35 104. 83 79.91 132. 36 21.26 9.34 700-4 41.28 10.83 1317 42 2365-01 486. 76 91.87 174. 54 27. 48 12. 42 1031-6 53.58 10.66 49 3003-03 131.38 101.39 217. 74 36.54 12.97 957-9 52. 68 16.38 1818 49 2868-72 562. 67 102. 69 213. 90 37. 69 14.39 1403-1 61.73 15.09 46 2799-04 118.01 83.77 164. 94 25.85 11.40 708-5 54. 18 17.01 1819 47 2703-20 532. 26 94.42 166. 01 34.70 12.14 1225-9 72.57 15.27 48 2652-45 123. 54 99.50 158.71 30. 20 12.56 742-2 67.07 14.67 1820 50 2714-47 566. 29 102. 55 211.01 40.16 12.03 1253-0 93.85 17.53 54 3183-58 144. 03 107. 67 224. 54 39.17 15.85 747 '8 75.50 15.33 1821 51 2971-14 592. 58 103. 63 176. 88 34.57 12.13 875-2 100. 91 13.95 58 3520-84 127. 31 119.19 220. 51 39. 62 16.96 1347-2 76.85 17.55 182-2 63 3730-39 705. 70 130. 97 237. 50 44.00 16.34 1000-5 108. 46 16.32 58 3531-01 172. 19 128. 51 247. 01 41.28 16.87 1468-6 73.68 18.61 1823 47 2535-33 531. 44 94.92 132. 92 27. 39 12.03 560-5 64.76 12.78 56 3542-61 160. 12 100. 78 230. 72 42. 52 15.75 1666-6 87.67 17.07 1824 49 2741-92 556. 39 89.51 179. 74 30.94 15.41 896-2 65.01 14.38 46 2811-89 107. 40 91.59 202. 44 36.06 12.60 1322-9 52. 62 12. 30 1825 46 2553-45 551.20 77.44 126. 91 28. 32 14.76 1281-4 53. 65 12.11 42 2457-42 121.38 72. 17 193. 35 36.39 15.12 1134-3 70.14 12. 13 1826 61 3632-49 706. 49 119.99 215. 62 43.60 19.99 1682-8 74.30 17.80 48 3009-54 142. 35 94.96 156.90 24.48 11.25 692-7 51.98 18.31 18-27 51 2986-33 596.69110.24 167. 65 38. 14 17. 18 1506-0 66.28 16.31 51 3035-36 142. 49 104. 72 195. 49 32. 95 16.28 631-6 83.09 17.46 1828 48 2894-86 542. 68 99.31 189. 70 35.86 15.86 1431-0 55.26 16.68 55 3209-76 140. 04 113.69 189. 97 33. 93 17. 15 917-7 82.62 18.65 1829 33 1933-51 348. 90 63.36 149. 80 23 28 8.99 783-7 58.21 9.99 48 2851-69 118.72 94.40 159. 90 29.67 15.83 780-1 81. 82 14.48 1830 43 2550-23 505. 02 82.58 120. 67 24. 62 10 91 614-3 86.47 11.00 45 2676-15 116.20 89.77 136. 79 26.90 13.08 1168-2 57.61 15. 72 Subtract for each * s * a v " t % V " , ' " 1 f v v * Observa- 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 tion. 1 - SECT. V. ANNUAL GROUPS OF KESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULA [323J ANNUAL GROUPS FOR LARGE VALUES OF CHANGE OF ANNUAL GROUPS FOR SMALL VALUES OF CHANGE OF ELLIPTIC INEQUALITY. ELLIPTIC INEQUALITY. 1 (Number of Observations. l Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for 0'l in Argument. Sum of Parallactic 1 nequality. Sum of Variation. 3 S) 5> 8& Sum of Annual Equation. Sum of Evection. -H hD . *> "8J1 0.2 Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. <=l| III g|1 JI Sum of Variation. Sum of Change for 0?-1 in Argument. Sum of Annual Equation. - d 58 u cc > W Co O a S a 3 3 bp ic . 1750 23 1249-73 151.35 65.55 65.45 12. 56 7.86 829-0 g v 18.80 8.71 7 a 358-30 e ' 55.88 10.44 39. 46 6.07 1.09 i 216-9 g ' 13.37 \ \\ 2.23 1751 62 3566-45 100. 28 165. 07 272. 16 41.84 17. 92 1572-9 88. 00 18.90 47 2652-90 315. 77 66.61 158. 42 29.72 13.15 820-0 72.59 14.55 1752 70 3877-46 543. 89 195. 12 278. 13 51. 87 18.85 1525-6 111.32 17.30 68 4059-22 449. 30 91.07 255. 21 45.09 19.24 1278-7 88.54 22. 30 1753 60 3281-73 424. 33 159. 41 209. 06 43.80 13.54 1109-2 75.75 13. 19 69 3842-36 467. 52 90.63 268. 73 52. 45 17.76 1736-6 101.13 23. 69 1754 64 3619-65 424. 05 176. 35 189. 98 34.73 19.21 1036-7 73.80 21.21 70 3956-68 519.64 97.23 221.75 51.99 20. 82 2137-9 99.25 19.35 1755 65 3179-13 381.35 148.31 173. 10 32. 8(5 13.89 1031-0 58.84 15.48 46 2765-39 371.43 64.68 184.91 30.99 11.78 1228-7 68.23 13. 53 1756 63 3800-75 406. 39 173. 60 197. 77 42. 22 17.43 1331-7 84.03 16.99 56 3307-46 464. 24 77.66 228.01 41.89 16.69 1341-5 74.67 19. 10 1757 57 3392-1(5 396. 09 156. 22 195. 76 44. 2(5 17.84 1428-1 82. 49 16.20 58 3263-92 414. 65 76.81 216. 94 42. 59 15.96 1021-7 94.15 20.69 1758 64 3685-80 464. 39 176. 39 264. 06 53.65 19. 22 1798-1 86.53 20. 61 54 3083-27 401.91 71.53 170. 30 34.03 11.25 809-0 101.56 20. 0(5 1759 72 4346-04 467. 09 198. 73 290. 62 57.58 20. 13 2050-7 117.95 21.64 70 4000-01 487.00 92.56 262. 63 43.92 20. 02 1153-0 112.87 21.43 1760 37 22(59-88 287. 44 102. 47 142. 79 29.34 10.19 844-9 58.99 9.01 63 3608-86 489. 46 84.96 210. 05 40.81 19.03 991-5 99.96 17.26 1761 25 1463-46 203. 18 67.78 115.93 19.41 6.45 589-3 36. 62 5.99 38 2341-17 290. 39 53. 12 120. 1 1 26. 57 10.24 875-0 55.39 10.99 1762 22 1241-96 151.76 61. 89 49.80 9. 73 6.61 249-1 19.00 6.79 39 2235-87 264. 12 51.13 1 16. 36 26. 10 10.80 1113-7 57. 16 12.64 i 1763 34 1997-54 187.71 96. 28 116.71 19.49 7.53 484-5 35.64 8.52 42 2277-11 293. 92 58. 62 177. 5(5 30.48 10.91 1252-4 64.79 12.99 1704 36 2266-18 230.41 96. 83 136. 56 28.64 10.51 333-7 57. 62 13.19 24 1464-72 197. 09 33.97 87.32 16.36 6.08 533-1 38.89 8.58 1765 42 2681-82 394. 74 116.05 100. 05 23. 10 14.17 1254-8 42. 12 13.08 47 2914-10 414.00 60.14 271. 05 37.97 13.51 1507-0 53.74 15.01 >; 176(5 42 2544-38 313.31 117.16 142. 80 29. 02 12.81 1229-4 46.77 13. 02 49 2787-63 415.44 63.73 201.65 40.46 11.67 1009-2 72. 35 19.65 17(57 52 3004-63 340. 12 144. 72 217.14 45. 14 15.47 1468-1 77.72 17.08 59 3440-57 403. 83 79. 06 203. 20 42.06 14.31 952-1 96.98 19.73 lines 61 3763-15 118.54 162. 23 241.78 45.24 16. 11 1391-3 89. 15 17.53 51 3120-76 423. 97 69.17 167. 84 36.84 15.03 712-4 78.87 14.79 i 1769 54 3593-97 328. 30 148. 90 259. 83 44.14 15. 16 1563-0 90.71 15.50 62 3901-66 363. 93 80.27 229. 00 41.90 17.20 11826 92.68 19.91 "1770 44 2785-34 280. 47 122. 29 199. 08 28.44 11.09 1031-8 55. 58 10. 07 67 4402-47 392. 42 86.79 260. 38 49.64 19.23 1610-3 94. 84 21. 74 1771 53 3169-7(5 389. 89 143. 23 197. 97 37.26 13.38 896-3 68.14 13.64 59 3545-76 432. 93 77.00 218. 62 45.08 17.63 1638-3 89.58 17.41 | 1772 29 1659-80 247. 27 79.65 96.09 13.63 8.63 344-5 24. 15 8.80 37 2267-45 268. 67 49.66 168.66 30.34 9.92 1059-7 43.76 11. 11 : 1773 41 2494-61 302. 1 1 113.95 135. 69 29. 85 12. 11 702-7 57.11 13.31 56 3660-29 401. 84 76.55 219.69 39.06 15.89 1535-7 71.62 16.77 1774 58 3755-16 420. 91 157. 73 222. 31 42. 75 17.07 1224-4 85.78 16.08 52 3243-01 313. 76 71.31 179. 54 35.41 14.91 989-7 75.88 19.47 1775 23 1512-90 141.77 64.96 119.48 22. 55 5.39 286-9 46.43 4.77 45 2774-31 249. 86 57.26 148. 60 28.86 14.42 546-9 77. 62 15.04 1776 62 3940-86 383. 15 167. 62 230. 59 48.45 18.33 1791-9 83. 12 18.88 53 33-20-65 341.76 68.07 166. 7(5 33.82 14.32 704-4 98.89 17.36 1777 56 3740-31 361. 08 149. 28 230. 33 47.99 16.49 1710-8 99.99 18. 27 62 3865-88 399. 33 78.60 198. 69 43. 20 15.13 982-6 87.94 19.91 1778 52 3703-99 334. 79 142. 73 250. 58 37.94 12. 24 1492-5 85.52 12.27 67 4140-49 446. 99 88. 13 233. 47 46.63 20. 47 1173-2 91.48 18.78 Subtract for eacli Observa- ft 60-00 s 7.02 2.00 4.00 K v 0.76 30 20-8 g ' 1.42 \\ 30 60-00 it > 7.02 \ 2.00 4.00 0.76 30 V 20-8 g v 1.42 U 30 tion. [324] REDUCTION or GREENWICH LUNAK OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF CHANGE OF ANNUAL GROUPS FOR SMALL VALUES OF CHANGE OF ELLIPTIC INEQUALITY. ELLIPTIC INEQUALITY. u 3 i w* Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for Os*l in Argument. ^s&- sii 5 a a- co J3 Sum of Variation. Sum of Change for 0?'l in Argument. a Li si B$ A Sum of Evectioa. Sum of Change for OS' I in Argument. !l 11 Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change forOS'l in Argument. Sum of Parallactic Inequality. Sum of Variation. Sum of Change for OB- 1 in Argument. 1 11 -. cc C S 1* Sum of Evection. Ji = = 1 lt| K !< CJ.H it g " X \* \ \\ g * \ \\ > g v V e * < V V\ e % . < g v V >" 1779 43 2632-62 355. 47 118.61 146. 49 28. 17 12.60 581-2 52.42 10.64 19 1187-13 170. 65 27.00 98.65 16.00 4.82 202-3 21.72 7.36 1780 51 3144-82 422. 76 35.84 ISO. 53 39.80 14.35 807-5 57.35 14. 92 43 2697-07 259. 02 57.54 172. 92 29.61 12.42 1319-8 66.22 11.79 1781 46 2912-42 321. 79 123. 50 123. 14 29.13 11.83 707-4 64.84 14.29 51 3123-22 365. 19 65.23 199. 68 38.33 14.07 1426-4 71.08 14. 89 1782 54 3482-45 338. 99 148. 50 203. 56 34.88 14.90 955-9 66.00 15.58 50 3308-73 351.58 66.14 192. 03 37. 22 14. 12 1382-6 55. 03 15.40 1783 63 4023-81 411.37 172. 34 212. 71 45.69 18.10 1308-6 91.89 17.78 58 3576-89 405. 79 77.51 197.61 43.97 14.85 1075-3 79. 02 20. 43 1784 52 3215-07 411.63 141. 44 226. 57 47.21 16.98 1266-0 82.56 15.85 48 2909-09 J47. 34 62.02 189.08 32.47 13.38 782-1 93. 22 15.70 1785 55 3381-24 328. 61 49.00 245. 54 44.24 16.37 1428-2 84.64 16.72 63 4033-60 474. 85 81.97 196.47 42. 55 16. 62 895-3 107. 81 20. 09 1786 47 3107-69 302. 42 124. 07 174. 43 37.80 12.36 1119-5 80.08 11.98 69 4309-54 470. 14 90. 86 267. 04 50. 62 20.98 908-8 104. 15 18.65 1787 57 3748-65 343. 35 151. 68 256. 65 41.31 13.64 1360-4 88.17 14.23 60 3852-86 356. 21 80.41 213.41 40.51 17.40 1282-8 86.11 18.54 1788 47 2856-90 293. 27 25.08 166. 57 37.97 12. 18 866-3 68.97 10.95 67 4432-61 420. 38 85. 15 260. 67 50.62 21.61 1666-0 95.69 19. 08 1789 50 3186-85 326. 31 134. 25 158. 61 33. 00 14.49 778-2 55. 25 14.49 61 3860-34 395. 67 82.79 216. 98 42.71 19.42 1660-4 88. 7(i 17.69 1790 46 2984-89 314. 02 125. 08 151.37 34.67 12. 72 635-9 72. 43 14.55 52 3468-84 391.24 68. 62 174.47 40.40 13.57 1398-5 61. 03 15.04 1791 44 2865-93 308. 86 118.84 152. 02 30.38 14.61 672-4 63.86 15.20 67 4553-94 494. 02 91.70 277. 66 52. 33 19. 13 1802-1 78. 13 21.88 1792 43 2811-46 321. 86 116.31 156. 81 30.03 12.65 920-7 58.44 11.56 44 2814-83 268. 25 60.40 132. 55 31.90 12. 32 688-7 60.78 14.30 1793 52 3300-90 368.44 140. 77 221.85 38.56 15.93 12643 75.09 16.10 54 3433-98 338. 05 72. 07 160.06 38.85 13.75 850-8 78.81 18.10 1794 59 3784-87 416. 59 163.11 237. 26 46.41 18.68 1649-3 94. 95 18.84 49 3334-88 304. 32 68.70 169. 82 29. 80 14.30 751-6 95.87 15.54 1795 62 4231-99 456. 62 166. 39 241.80 49.11 19.09 1760-8 105. 11 19.50 61 3987-51 423. 01 83.05 209. 99 42.62 17. 90 971-2 90.65 18. 06 1796 50 3206-78 374. 88 133. 30 173. 82 30.13 12.99 965-4 66.60 11.92 72 4251-72 479. 79 96.72 269. 88 50.23 20. 90 1518-5 106. 78 23. 08 1797 35 2127-90 249. 86 93.03 150. 03 28. 95 8.45 761-0 50. 11 8.44 54 3303-65 387. 67 72.67 226. 26 36.23 14. 19 1297-7 93.39 16.98 1798 55 346664 367. 83 155. 26 187. 42 35.77 13.32 866-8 62.99 13.58 58 3463-53 404. 03 76.32 204. 31 40.31 16. 13 1660-9 89.45 16.31 1799 45 2784-59 319. 59 122. 21 148. 50 33.71 12.06 758-5 63.24 13.02 52 3085-39 402. 88 66.25 216.09 38.58 14.05 1430-3 70.33 16.24 1800 60 3721-67 411.07 164.08 188. 94 37. 98 19.87 1217-3 74.69 18.81 67 3570-81 439. 12 76.88 235. 63 40.46 16. 27 1439-8 74.58 19.84 1801 66 4075-53 410. 14 182. 72 241. 94 45. 82 17.98 1352-6 93.41 18.09 73 4500-46 488. 55 93.95 274. 86 52.21 19.91 1484-6 98.80 27. 36 1802 76 4465-85 582. 35 208. 02 322. 17 58.10 22. 53 1878-2 103. 12 23.24 60 3913-22 572. 83 85.08 236. 21 43.00 17. 10 1104-7 124. 47 21. 71 1803 SO 4585-17 554. 99 218. 82 315.94 56.74 22. 27 2220- 1 114. 03 25. 40 63 4180-13 382. 85 83.14 194. 28 36.47 17.33 1003-9 104. 48 19.73 1804 43 2624-53 239. 67 121.40 209. 44 40.10 12. 62 1193-0 75.83 12. 49 54 3358-06 381.77 71.60 184. 48 35.33 14.69 993-0 86.36 18.06 1805 54 3250-76 427. 26 146. 02 210. 16 38.92 13. 70 1048-8 74.08 12. 18 56 3316-34 361.98 76.70 224. 75 32.31 18.89 1039-9 83.62 17.59 1806 44 2530-9C 294. 34 122. 09 179.91 29. IS 11.98 821-8 51.97 12.63 68 4301-61 449. 78 91.42 250. 58 49.34 20. 82 1825-2 103. 86 20. 58 1807 52 3056-16 369. 20 146.63 170. 66 31.56 14.98 755-1 54.27 15.91 57 3348-88 399. 75 77.10 244. 51 47. 45 19. 15 1538-4 67.41 15.11 Subtract for each Observa- tion. It 60-00 e " 7.02 \ \\ 2. 00 4.00 g 0. 7< W 30 20-8 s % 1.42 30 n 60-00 g ' 7.02 2.00 \ 4.00 s * 0.70 30 X 20-8 * x 1.42 30 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [325] ANNUAL GROUPS FOR LARGE VALUES OF CHANGE OF ANNUAL GROUPS FOR SMALL VALUES OF CHANGE OF ELLIPTIC INEQUALITY. ELLIPTIC INEQUALITY. oj 2 I 5 W Si: =j = "& B " : i 'o.l 2! o ^l 8 a C 3 % *0 ;5 'bo "8 a'u = 3 to 60 3=5 f. I'l C 5 bf 60 ft ll | && 1 "o J'S) "o If = &!, HI- 5 f U II S n> 5 P M P> "S 3 ll IJ _ O a a Q 5 _J g "^ 50 g< 3 cn <* i-5 ^w "I* *J ~ *o J j= a m < | wj< | "2(5 w !< CC 6. a o.S cc o.S CO o.S o.S CC o.S (1808 59 3639-42 426. 33 164. 15 211. 17 44. 33 16.54 936-7 K * 85.88 17.30 61 3752-70 g ' 488. 99 82. 94 257. 49 49.28 15.64 1630-1 g v 68. 69 19.55 1809 50 3036-OS 385. 33 137. 99 165. 52 33.78 13.09 1013-2 66.71 14.70 44 2901-40 305. 54 60.50 168. 75 31.83 13.41 1038-4 56.07 13.97 1810 57 3403-35 394. 60 159.21 196. 19 37.91 15.30 1308-2 79.74 15.45 50 3208-87 332. 74 68.47 218.46 31.55 14.49 1066-4 85.37 16.92 1811 55 3280-15 327. 36 151.41 224. 34 44.42 15.24 1309-3 72.15 16.44 47 2790-88 353. 27 61.97 168. 17 34.00 11.63 660-1 78.40 15.23 1812 45 2025-18 302. 74 122. 97 166. 92 31.51 11.61 1255-9 65.47 13.51 60 3703-40 427. 00 78.18 195. 11 38. 29 16.55 947-1 93.42 19.26 1813 58 3705-78 411.45 153. 42 247.31 39.13 12.71 1451-0 85.10 13.09 55 3385-19 366. 53 71. 12 165. 48 30.00 16.16 1026-0 93.28 15.59 1814 44 2729-79 286. 61 118.37 165. 59 31.37 11.98 907-9 52.77 10.21 45 2050-03 280. 78 59.60 161.76 30.44 13.57 1032-1 72. 10 13.15 ISlo 37 2061-91 260. 33 99.65 142. 40 24.03 9.50 657-7 37.40 8.14 58 3342-24 408. 29 78.07 212. 14 42.47 16.42 1540-5 80.35 18.70 1810 42 2555-18 201.93 114. 37 176. 99 28.29 11.91 546-0 51.08 13.76 35 1862-89 325. 45 44.50 119. 37 25.86 10.29 1022-8 51.83 10.86 1817 52 3071-95 387. 72 141.42 207. 01 35.04 15.14 797-9 69.13 14.34 39 2290-09 230. 42 51.84 185. 27 28. 98 10.25 1191-6 37.13 12.70 1818 46 2735-31 350. 58 123. 46 157. 05 26.36 13.01 932-7 53.64 14. 18 49 2932-45 330. 10 63.00 221. 79 37.18 12.78 1178-9 62. 27 17.92 1819 48 2705-39 314.85 131. 75 166.39 33. 92 12.57 1199-0 59.57 13.38 47 2050-20 340. 95 62.17 158.33 30.98 12.13 769-1 80.07 16.56 1820 51 2930-30 344. 47 140. 19 242. 62 40. 27 14.02 1311-4 75.85 15.50 53 2907-75 365. 85 70.03 192. 93 39.06 13.86 089-4 93.50 17.36 1821 55 3123-30 340. 00 148. 92 223. 09 41.75 13.87 1452-3 84.18 15.29 54 3368-68 379. 83 73.90 174. 30 32.44 15.22 770-1 93.58 16.21 1822 67 3906-98 459. 29 188. 05 263. 44 46.51 18.46 1728-3 100. 25 19.33 54 3354-42 418. 60 71.43 221.07 38.77 14.75 740-8 81.89 15.60 1823 47 2096-51 340. 78 126.23 156. 65 30.76 12.61 874-6 70.44 10.77 50 3381-43 344. 78 69.47 206. 99 39.15 15.17 1352-5 81.99 19.08 1824 41 2223-80 285. 83 110.77 176. 28 25. 16 11.94 678-6 34.91 11.53 54 3330-01 377. 90 70.33 205. 90 41.84 16.07 1540-5 82.72 15.15 1825 2.7 1489-77 214. 58 09.75 101.08 17.77 10.29 523-5 40.84 7.36 01 3521-10 458. 00 79. 86 219. 18 46.94 19.59 1892-2 82.95 16.88 1826 53 3124-10 402. 44 143.02 159. 50 29. 40 15.21 895-9 58.68 16. 82 50 3517-93 440. 40 71.93 213. 02 38.68 16.03 1479-0 67.60 19.29 1827 53 3015-78 394. 97 147. 90 185.30 39.78 18.37 1081-9 74.51 17.41 49 3005-91 344. 21 67.06 177. 84 31.31 15.09 1055-7 74.86 16.36 1828 52 2983-77 359. 20 144. 22 175. 03 34.99 18.13 1462-6 58.38 16.85 51 3120-85 323. 52 68.78 204. 64 34.80 14.88 886-1 79.60 18.48 1829 36 2131-81 181.02 99.98 158. 92 20.43 10.18 997-3 52.31 10.81 45 2653-39 280. 00 57.78 150. 78 26. 52 14.64 566-5 87.72 13.66 1830 41 2273-58 294. 82 109.93 137. 57 28.26 11.36 1099-5 58.98 12.34 47 2952-80 320. 40 62. 42 119.89 23.26 12. 63 683-0 85. 10 14.38 C 1 ouutrttci for each Observa- 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 ff 7.02 2.00 4.00 g 0.76 30 20-8 g N 1.42 30 tion. [326] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF PARALLACTIC INEQUALITY. ANNUAL GROUPS FOR SMALL VALUES OF PARALLACTIC INEQUALITY. fcl 3 D K- 1 Number of Observations. Sum of Excess of Observed Longitude. D .5- x 3 Hi <*- 2 B s a) Sum of Change for OS'l in Argument. .H X Hi l|| Sum of Variation. Sum of Change for Os-1 in Argument. Sum of Annual Equation. "* a o - n'S 1 8 *i slf i& &. Mis u .5 1 Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of 1 Change for 0*-1 in Argument. ^.8 x c ti ;s i III B lJi Sum of Variation. Sum of Change for Os- 1 in Argument. Sum of Annual Equation. Sum of Evection. Sum of Change for 0' 1 in AnriniH'nt. 1750 11 // 561-82 s * 118.26 23. 94 72.91 10.10 2.92 \ 389-3 24. 14 4.56 19 // 1046-41 g ' 88.97 \ w 52.05 32.00 K ' 8.53 % \\ 6.03 656-6 e v 8.03 6.38 1751 1752 51 64 2891-92 3768-01 295. 31 395. 36 114.42 137. 00 336. 87 423. 58 46.29 61.22 13.37 17.09 1132-9 1426-5 72.30 92.80 14. 14 18.07 58 74 3327-43 4168-67 420. 74 597. 83 1 17. 26 149. 19 93.71 109. 76 25.27 35.74 17.70 21.00 1260-0 1377-8 88.29 107. 06 19.31 21.53 1753 57 3185-74 302. 65 105. 57 389. 04 54.10 13.31 1315-0 59.26 16.87 72 3938-35 589. 20 144. 47 88.75 42. 15 17.99 1530-8 117.62 20.01 1754 48 2722-76 281.77 94.12 289. 76 41.42 16.05 1276-2 48. 42 14.12 86 4853-57 661.92 179.46 121.97 45.30 23.98 1898-4 124. 63 26. 44 1755 44 2595-27 295. 60 89.07 291. 42 41.79 11.85 944-1 56.21 14.55 57 3349-25 457. 18 123.92 66. 59 22. 06 13. 82 1315'6 70.86 14.40 1750 48 2813-00 397. 50 93.04 315.27 51.91 13.39 1054-5 69.16 14.87 71 4295-21 473. 13 158. 22 110. 51 32. 20 20. 73 1618-7 89.54 21.22 1757 54 3036-97 390. 17 106. 48 332. 26 59.04 17. 99 1152-2 91.76 17.56 61 3619-11 420. 57 126. 55 80.44 27.81 15.81 1297-6 84.88 19.33 1758 53 3009-17 398. 44 116. 18 349. 82 54. 12 14.05 1308-3 89.96 17.74 65 3709-90 467. 86 131.74 84.54 33.56 16.42 1298-8 98.13 22. 93 1759 60 3804-90 444.81 139.29 434. 28 69.74 17.90 1611-4 116. 39 18.90 76 4541-15 509. 28 152.00 118.97 31. 76 22. 25 1592-3 114.43 24. 17 1760 44 2624-51 286. 80 86.92 275. 1 1 46.83 13.90 956-2 63.67 11.48 56 3254-23 490. 04 100.51 77.73 23. 32 15.32 880-2 95. 28 14.79 1701 26 1598-21 102. 80 56.42 179. 07 29.46 6.18 673-1 35.82 5.83 37 2206-42 330. 77 64.48 56.97 16.52 10.51 791-2 56. 19 11. 15 1762 16 933-15 71.25 27.34 101. 31 17.46 4.99 422-4 19.39 4.69 45 2544-68 344. 63 85.68 64.85 18.37 12.42 940-4 56.77 14.74 1763 35 1980-85 183.81 66.64 240. 98 32.69 7.89 904-4 45. 10 10. 42 41 2293-80 297. 82 88.26 53. 29 17.28 10.55 832-5 55.33 11.09 1764 28 1712-61 260. 95 65. 35 182. 3(5 33.23 8.24 371-2 51.70 10.82 32 2018-29 166. 55 65.45 41.62 11.77 8.35 495-6 44.81 10.95 1765 46 2883-74 393. 97 70.86 296. 04 45. 16 13.65 1449-6 48.35 17.82 43 2712-18 414. 77 105. 33 75. 06 15.91 14.03 1312-2 47.51 10.27 1766 43 2591-36 378. 80 82.25 282. 09 48.74 12.20 1240-2 66. 17 16.66 48 2740-65 349. 95 98.64 62. 36 20. 74 12.28 998-4 62. 95 16. 01 1767 52 3049-71 366. 66 109. 15 341.76 58.77 14.16 1238-8 84. 52 17.65 59 3395-49 377. 29 114.63 78.58 28. 43 15.62 1181-4 90. 18 19.16 1768 52 3344-22 338. 07 111.93 332. 43 54.92 15.84 1073-7 72.34 13.83 60 3539-69 504. 44 119.47 77.19 27. 16 15.30 1030-0 95.68 18. 49 1769 1770 62 55 4086-53 3657-09 344. 26 350. 61 131. 36 107. 47 408. 29 371.81 64. 94 58.05 16.98 13.47 1408-2 1242-4 91.52 67.25 16. 80 13. 70 54 56 3409-10 3530-72 347. 97 322. 28 97..81 101.61 80.54 87. 65 21. 10 20. 03 15.38 16.85 1337-4 1399-7 91.87 83.17 18.61 18.11 1771 49 2975-80 294. 32 95. 09 325. 21 53.29 13 23 1183-8 65. 58 13.13 63 3739-72 528. 55 125. 14 91.38 29. 05 17.78 1350-8 92.14 1 7. 92 1772 33 2007-15 239. 47 54.99 216.62 33.25 9. 10 801-0 35. 50 10.15 33 1920-10 276. 47 74. 32 48. 13 10.72 9.45 603-2 32.41 9. 70 1773 41 2601-80 271. 56 74.15 268. 67 44. 19 11.66 1027-7 53.73 13.14 5(5 3553-10 432. 39 116.35 86.71 24. 72 16.34 1210-7 75.00 16.94 1774 50 3195-32 331. 46 107. 08 315. 61 53.73 15.47 1018-1 77.04 15. 99 60 3802-85 403.21 121. 96 86.24 24. 43 16.51 1196-0 84.62 19.5(5 1775 35 2310-16 188. 86 69.99 222. 30 38. 42 10.65 495-5 56. 22 8.37 33 1977-05 202. 77 52. 23 45.78 12. 99 9. 16 338-3 67.83 11.44 1776 50 3165-60 339. 28 107. 66 311.90 55.58 15.75 1114-7 89.38 16.58 05 4095-91 385. 63 128.03 85.45 26.09 16.90 1381-6 92.63 20. 00 1777 53 3407-24 342. 05 108. 26 346. 19 60. 45 15.09 1204-6 87.44 15.39 (55 4198-95 418.36 119.62 82.83 30.74 16.53 1 1488-8 100. 49 22. 7!) 1778 58 3887-05 352. 11 123. 39 389. 69 (50. 62 14.70 1365-7 75.43 12. 50 (il 3957-43 429. 67 107. 52 94.30 23. 95 18.01 1300-0 101 51 18.65 Subtract for each Observa- ft 60-00 7.02 2.00 4.00 ff * 0.76 \\ 30 20-8 g 1.42 30 // 60-00 7-02 2.00 4.00 e v 0.76 \\ 30 20-8 s v 1.42 30 tion. SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [327] ANNUAL GROUPS FOR LARGE VALUES OF PARALLACTIC ANNUAL GROUPS FOR SMALL VALUES OF PARALLACTIC INEQUALITY. INEQUALITY. j Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change fur 0*'l in Argument. .H >, B =j 3 3 t- u j Sum of Annual Equation. "8 |1 Sum of Change for O''l in Argument. 1779 30 1934-07 e v 273. 37 s ' 28.96 8.22 i 517-5 g 51.05 10.50 32 v 1885-68 e 252. 75 81.57 49.56 g 15.21 9. 2( 266-0 e * 23.09 7.50 64.04 195. 58 1780 43 2756-39 223. 88 86. 72 278. 29 43. 90 12. 54 1027-1 48.23 13.64 51 3085-50 457. 90 106. 66 75.16 25. 51 14.23 1100-2 75.34 13. 07 1781 37 2333-36 261.41 68.71 242. 39 40.92 10.25 810-0 49.21 12.04 60 3702-28 425. 57 120.02 80.43 26. 54 15.65 1323-8 87.31 17. 14 1782 49 3179-00 303. 47 98.62 319.45 49.27 13.99 1163-1 62.28 15.74 55 3612-18 387. 10 116. 02 76.14 22.83 15.03 1175-4 58.75 15.24 1783 51 3163-78 351.49 104. 85 323. 87 56. 15 15.45 1023-4 78.63 15.36 70 4436-92 465. 67 145. 00 86.45 33.51 17.50 1360-5 92.28 22. 85 1784 52 3147-15 387. 80 1 1 1. 38 334. 94 55.96 15.28 1208-3 97.23 17.04 48 2977-01 371.17 92. 08 80.71 23.72 15.08 839-8 78.55 14.57 1785 50 3168-52 335. 05 110.77 334. 71 47.91 12.87 1099-5 88.06 13.53 68 4246-32 468. 41 120. 20 107. 30 38.88 20. 12 1224-0 104. 39 23.28 1786 54 3467-21 293. 88 99.08 349. 86 57.65 15.70 964-3 81.34 13.02 62 3950-02 478. 68 115. 85 91.61 30.77 17.64 1064-0 102. 89 17.61 1787 57 3649-79 319.80 118.61 384. 45 58. 81 14.34 1299-7 76.59 14.08 60 3951-72 379. 76 113.48 85.61 23. 01 16.70 1343-5 97.69 18.69 1788 53 3369-61 284. 96 96.39 334. 99 56.49 16.36 1213-1 64.34 14.13 61 3919-90 428. 69 113.84 92.25 32. 10 17.43 1319-2 100. 32 15.90 1789 45 2770-90 237. 56 80.10 277. 09 46.50 15. 17 1112-2 54.26 12. 99 66 4276-29 484. 42 136. 94 98.50 29.21 18.74 1326-4 89.75 19. 19 1790 38 2492-18 260. 69 75.56 248. 53 45.40 11.03 755-1 55. 6-2 12.91 60 3961-55 444. 57 118. 14 77.31 29. 57 15.26 1279-3 77.84 16.68 1791 55 3661-95 419.73 100. 58 345.71 61.77 17.21 1380-0 67.69 19.86 56 3757-92 383. 15 109.96 83.97 20.94 16.53 1094-5 74.30 17.22 1792 34 2178-56 217.08 75.88 215. 98 38. 83 10.68 602-2 48. 11 9.48 53 3447-73 373. 03 100. 83 73.38 23. 10 14.29 1007-2 71. 11 16.38 1793 46 2903-55 351. 79 99.72 299. 60 49.52 13.57 958-2 69.07 13.34 60 3831-33 354. 70 113.12 82.25 27. 89 16.11 1156-9 84. 83 20. 86 1794 48 3158-24 334. 27 105. 93 308. 91 51.55 14.59 1118-4 91.39 13.41 60 3961-51 386. 64 125.88 98.17 24.66 18.39 1282-5 99. 43 20. 97 1795 53 3630-33 360. 16 111.63 337. 68 59. 62 15.75 1252-3 87.66 14.79 70 4589-17 519. 47 137.81 114. 11 32. 11 21.24 14797 108.00 22. 77 17(i 54 3294-87 343. 50 99.73 349. 24 50.72 15.38 1114-4 73.68 15.92 68 4163-63 511. 17 130. 29 94.46 29.64 18.51 1369-5 99.70 19.06 1797 46 2786-74 266. 86 86.63 315.78 42. 55 10.94 984-7 59.62 13.60 43 2644-81 370. 67 79.07 60.51 22,63 11.70 1074-0 83.88 11.82 1798 45 2811-41 233. 90 88.77 301.49 45.06 11.42 1169-9 61.81 11.78 68 4118-76 537.96 142. 81 90.24 31.02 18.03 1357-8 90.63 18.11 1799 44 2591-78 329. 16 79.23 292. 1C 47.60 11.94 984-0 63.01 15.08 53 3278-20 393. 31 109. 23 72.43 24.69 14.17 1204-8 70.56 14.18 1800 51 3143-40 401. 39 95.40 320. 20 53.51 16.29 1268-2 69.92 18.53 66 4149-08 448. 80 145. 56 104. 37 24. 93 19.85 1388-9 79.35 20. 12 180) 60 3655-94 431. 09 118.72 401. 31 60.75 15.65 1326-2 86.99 20.27 79 4920-05 467. 60 157. 95 115.49 37.28 22. 24 1511 105. 22 25. 18 1802 68 3963-85 591.71 144. 06 448. 17 65.25 18.37 1613-4 111.67 19.87 74 441522 563. 47 149. 04 110.21 35. 85 21.26 1369-5 115.92 25. 08 1803 59 3522-43 419.42 135.21 389. 45 59.72 15. 99 1345-6 92.28 16.38 84 5242-87 518.42 166. 75 120. 77 33.49 23.61 1878-4 126. 23 28. 75 1804 50 3044-73 283. 17 108. 76 325. 44 52.28 14.06 1190-1 79.06 14.14 47 2937-86 338. 27 84.24 68.48 23.15 13.25 995-9 83.13 16.41 1805 50 3030-67 323. 78 102. 49 331. 16 44.74 13.54 1081-9 72.23 14.49 60 3536-43 465. 46 120. 23 103. 75 26.49 19.11 1006-8 85.47 15. 28 1806 51 3143-70 280. 51 98.74 335. 41 50.09 14. 47 1204-9 58.43 14.84 61 3688-87 463.61 114.77 95.08 28.44 18.33 1442-1 97.40 18.37 1807 50 2903-68 317. 80 95.91 314. 96 51.42 15.38 1168-6 49.79 15.83 59 3501-36 451. 15 127. 82 100.21 27.59 18.75 1124-9 71.89 15. 19 Subtract for each Observa- 60-00 n " 0.76 30 20-8 1.42 \\ 30 60-00 r v 0.76 30 20-8 K * 1.42 30 7.02 2.00 4.00 7.02 2.00 4.00 tion. GREENWICH LUNAU REDUCTIONS. 2[X] [3-28] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF PARALLACTIC ANNUAL GROUPS FOR SMALL VALUES OF PARALLACTIC INEQUALITY. INEQUALITY. = 1 I, 5 ii B ~ U.-G **- C g, 1 . = a _=| u- j 1| o . O S ~ U ._ a 1*5 I C/3 a Z C v. O E cC ^ > cc *^ S W W rt ^ E J 5 <*4 i aC ^ f-, > (C ^ S rjl cc ^ a~ 8 A 5 .s eg o.S O J t/3 6.s o S S.s ff a > X XX X XX e * X XV I e * \ \s g ' X XX X XX g * X ,x x g v X X, 1808 55 3374-07 414.43 105. 89 371.78 60. 72 13.88 1170-9 77.48 17.80 65 4018-11 500. 89 141.20 96. 88 32. 89 18. 30 1395-9 77. 09 19.05 1809 40 2575-07 322. 02 79.37 258. 72 42.86 11.65 900-3 54.59 12.61 54 3423-07 368. 85 119.12 75.55 22. 75 14. 85 1151-3 68. 19 16.06 1810 49 3056-26 384. 26 99.43 327. 73 49.10 12. 88 1051-4 85.26 15.49 58 3615-96 343. 08 128. 25 86.92 20. 36 16.91 1323-2 79. 85 16.88 1811 47 2868-13 277. 04 98.91 315. 64 49.85 11.88 862-0 65.52 14.04 55 3208-90 403. 59 114.47 76.87 28. 63 14.99 1107-4 85. 03 17.63 1812 44 2746-26 321.87 92.47 284. 74 44.96 12.59 1009-3 62.23 13.38 61 3642-32 407. 87 108. 68 77.29 24. 84 15.57 1193-7 96.66 19.39 1813 49 3245-74 334. 84 106. 23 329. 00 47.12 12.16 1222-1 78.57 11.52 64 3845-23 443. 14 118.31 83.79 22.61 16.71 1254-9 99.81 17. 16 1814 40 2525-21 228. 01 82.23 257. 47 46.08 11.90 977-1 52. 07 10.66 49 2854-61 345. 38 95.74 69.88 15.73 13.65 962-9 72.80 12.70 1815 41 2358-95 226. 61 76.69 272. 35 45.49 10. 52 954-0 40.58 11.36 54 3045-20 442. 01 101.03 82. 19 21.01 15.40 1244-2 83.17 15.48 1816 36 2141-09 277. 82 78. 28 233. 80 39.29 10.37 713-3 45.19 11.49 41 2276-98 309. 56 80.59 62.56 14.86 11.83 855-5 57. 72 13.13 1817 50 3024-38 303. 13 101.61 330. 06 51. 74 13.24 1135-8 66.45 15.87 41 2343-66 315. 01 91.65 62. 22 12.28 12.15 853-7 39.81 11.17 1818 46 2815-83 382. 28 83.56 305. 11 46. 86 11.83 1182-4 55.07 15.93 49 2851-93 298. 40 102.90 73.73 16.68 13.96 929-2 60.84 16. 17 1819 38 2182-37 255. 94 75.27 251.01 40.78 10.25 791-5 60.80 10.97 57 3173-28 399. 86 118.65 73.71 24. 12 14.45 1 176 6 78.84 18.97 1820 67 3395-26 393. 92 122. 70 375. 15 64.54 15.72 1172-0 92.41 15.99 47 2502-79 316.40 87.52 60.40 14.79 12. 16 828-8 76.94 16.87 1821 45 2799-98 279. 49 99.41 304. 44 49.54 11. 14 982-0 72. 76 12.90 64 3692-00 440. 40 123.41 92. 95 24. 65 17.95 1240-4 105.00 18.60 1822 60 3730-00 404. 42 131.66 394. 21 59.70 16. 25 1411-6 88.77 18. 11 61 3531-40 473. 47 127. 82 90.30 25. 58 16.96 1057-5 93.37 16.82 1823 45 2793-25 245. 24 84.76 290. 37 51.23 13.05 969-8 60.20 12.47 58 3284'69 446. 32 110.94 73.27 18.68 14.73 1257-3 92.23 17.38 1824 49 2939-85 314.52 91.21 314. 10 55.21 14.37 1223-6 52.96 12.06 46 2613-96 349.27 89.89 68.08 11.79 13.64 995-5 64.67 14.62 1825 39 2298-03 199.61 66.16 233. 36 44. 82 13.98 1097-7 48.91 10.60 49 2712-84 472. 97 83.45 86.90 19.89 15. 90 1318-0 74.88 13.64 1826 43 2779-63 351. 67 78.71 275. 62 42. 87 12.68 1039-4 54.48 15.16 66 3862-40 497. 17 136. 24 96.90 25. 21 18.56 1336-1 71. 8( 20.95 1827 43 2691-86 301.15 91.49 263. 11 50.42 14.73 889-7 65.01 14.56 59 3329-83 438. 03 123. 47 100. 03 20.67 18.73 1247-9 84.36 19.21 1828 45 2837-62 311.97 86.51 281.37 48.47 14.64 1016-3 63. 39 15.49 58 3267-00 370. 75 126.49 98.30 21.32 18.37 1332-4 74.49 19.84 1829 35 2193-90 226. 34 78.58 229. 02 39.71 9.80 706-3 69.93 9.06 46 2591-30 241.28 79. 18 80.68 13.24 15.02 857-5 70.10 15.41 1830 28 1733-47 191.70 61.05 180. 01 31.61 8.28 662-2 43.98 8.02 60 3492-91 429. 52 111.30 77.45 19.91 15.71 1120-3 100. 10 18.70 Subtract a g \ X XX \ \\ ff * \\ \ g * I \ v\ \ XX . w . ' Jj for each Observa- 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 60-00 7.02 2.00 4.00 0.76 30 20-8 1.42 30 tion. SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [329] ANNUAL GROUPS FOR LARGE VALUES OF VARIATION. ANNUAL GROUPS FOR SMALL VALUES OF VARIATION. u 6 t Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for OS- 1 in Argument. *tr t* O x if g- && Sum of Variation. Sum of Change for 0-1 in Argument. Sum of Annual Equation. *j S (U C/2 > N Sum of Change for OS- 1 in Argument. Number of Oliservations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for 0" 1 in Argument. .2 >> lit S &% Sum of Variation. 1 Sum of Change for 0-1 | in Argument. Sum of Annual Equation. Sum of Evection. be . O *J <*-*- "SB is,& V // f v > , V* g * g ' , I 1750 10 506-48 74.88 23.88 44.89 12.46 2.95 365-6 15.91 3.76 20 1101-55 132. 35 52.11 60.02 6.17 6.00 680-3 16.26 7.18 1751 49 2782-94 331.07 104. 04 240. 32 55.79 12.46 1107-5 80.21 14.02 60 3436-41 384. 98 127.64 190. 26 15.77 18.61 1285-4 80.38 19.43 1752 62 3682-39 427. 47 135. 07 301. 18 73.98 16.94 1415-2 98.07 17.55 76 4254-29 565. 72 151. 12 232. 16 22.98 21. 15 1389-1 101.79 22. 05 1753 60 3369-21 380. 01 111. 55 247- 02 74.02 14.62 1315-0 75.33 17.34 69 3754-88 511.84 138.49 230. 77 22. 23 16.68 1530-8 101. 55 19.54 1754 59 3320-78 435. 78 117. 13 211.84 66.67 16.82 1492-9 79.81 18. 62 75 4255-55 507. 91 156. 45 199. 89 20.05 23.21 1681-7 93.24 21. 94 1755 43 2501-61 298. 90 90.88 199. 90 49.60 11.01 908-7 53.29 13.07 58 3442-91 453. 82 122.11 158.05 14.25 14.66 1351-0 73.78 15.94 1756 52 3076-39 401. 29 106.05 247. 61 63.44 13.91 1296-7 73.83 15.57 67 4031-82 469. 34 145.21 178. 17 20. 67 20.21 1376-5 84.87 20. 52 1757 58 3350-45 422. 71 119.19 273. 25 69.25 18.00 1249-9 95.26 18.09 57 3305-63 388. 03 113.84 139. 45 17.60 15.80 1199-9 81.38 18.80 1758 55 3154-65 466. 29 118.80 258. 94 65. 53 13.50 1100-3 96.25 18.87 63 3614-42 400. 01 129. 12 175. 42 22. 15 16.97 1506-8 91.84 21.80 1751) 63 3675-08 424. 80 136. 12 333. 73 75. 70 17.44 1381-0 108. 60 18.94 79 4670-97 529. 29 155. 17 219. 52 25.80 22.71 1822-7 122.22 24. 13 1760 47 2830-60 299. 19 93.93 2-17. 99 56. 02 13.25 931-0 74.97 12.44 53 3048- 14 477.71 93.50 124. 85 14.13 15.97 905-4 83.98 13. 83 1761 28 1763-39 190. 93 56.25 143.70 34.20 6.23 755-1 41.09 7.50 35 2036-24 302. 64 64.65 92.34 11.78 10.46 709-2 50.92 9.48 1762 19 1124-36 102. 39 28. 79 81. 15 22.64 5.34 536-3 21. 83 6.37 42 2353-47 3J3. 49 84.23 85.01 13. 19 12.07 826-5 54.33 13. 06 1763 30 1695-56 193. 53 56.84 155.95 36.30 7.15 753-4 44. 72 7.99 46 2579-09 288. 10 98.06 138. 32 13.67 11.29 983-5 55.71 13.52 1764 29 1774-92 276. 86 66.76 154. 33 36.96 8. 12 378-1 53.74 10.97 31 1955-98 150.64 64.04 69.55 8.04 8.47 488-7 42. 77 10. 80 1765 41 2598-35 367. 70 72.64 210.61 48.75 12.38 1315-6 37.86 14.13 48 2997-57 441. 04 103. 55 160. 49 12. 32 15.30 1446-2 58.00 13.96 1766 45 2671-27 409. 88 85.12 225. 65 56. 02 12. 39 1159-5 56.59 17.51 46 26(10-74 318.87 95.77 118.80 13.46 12.09 1079-1 62. 53 15.16 1767 69 3445-51 423. 71 125. 48 297. 60 72.28 15.45 1362-4 91.41 19.50 52 2999-69 320. 24 98.30 122. 74 14.92 14.33 1057-8 83.29 17.31 1768 54 340298 390. 69 112. 49 255. 89 65.67 15.97 1061-9 85.59 15. 62 58 3480-93 451.82 118.91 153. 73 16.41 15.17 1041-8 82.43 16.70 1769 54 3572-42 339. 16 113.81 300. 92 67.31 16.61 1291-8 86.16 14.87 62 3923-21 353. 07 115.36 187.91 18.73 15.75 1453-8 97.23 20. S4 1770 48 3191-83 289.61 86.55 268. 15 59.47 11.78 1033-9 56.23 13.33 63 3995-98 383. 28 122. 53 191.31 18.61 18.54 1608-2 94.19 18.48 1771 55 3367-03 372. 22 102. 67 265. 86 67.51 13. 87 1358-9 75.65 16.06 57 3348-49 450. 65 117.56 150. 73 14.83 17. 14 1175-7 82.07 14.99 1772 27 1636-26 220. 16 44. 03 150.95 33.26 8.49 704-9 28.01 8.07 39 2290-99 295. 78 85.28 113.80 10.71 10.06 699-3 39.90 11.84 1773 43 2705-59 320. 9'2 82. 5(5 207. 54 53. 39 11.65 992-8 59.87 12.31 54 3449-31 383. 03 107. 94 147. 84 15.52 16. 35 1245-6 68.86 17.77 1774 52 3281-52 378. 67 113.54 267. 2-2 60. 59 15.50 1039'8 84.05 16.36 58 3716-65 356. 00 115.50 134. 63 17.57 16.48 1174-3 77.61 19.19 1775 37 2397-40 228. 66 73.26 187.85 43.83 10.76 482-0 60.03 9.38 31 1889-81 162. 97 48.96 80.23 7.58 9.05 351-8 i 64.02 10.43 1776 58 3653-86 385. 69 121. 36 270. 55 66.17 16.67 1322"- 96.95 18.27 57 3607-65 339. 22 114.33 126. 80 16.10 15.98 1173-6 85. 06 17.97 1777 60 3846-02 383. 46 120. 27 294. 10 74.24 16.20 1322-8 89.68 18.59 58 3760-17 376. 95 107. 61 134. 92 16.95 15.36 1370-6 98. 25 19.59 1778 51 3384-68 298. 85 101.63 287. 47 63.02 13.98 1087"- 69.98 12.25 68 4459-80 482. 93 129. 28 196. 58 21.55 18.73 1578-5 107. 02 18.80 Subtract for each Observa- tion. It 60-00 g v 7.02 2.00 4.00 s * 0.76 30 \ 20-8 * v 1.42 30 // 60-00 s " 0.76 30 20-8 * > 1.42 \\ 30 7.02 2.00 4.00 2 [X] 2 [330] REDUCTION or GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF ANNUAL GROUPS FOR SMALL VALUES OF VARIATION. VARIATION. S Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for OS' I in Argument. .11 _ - !! M <.s 1 Sum of Variation. Sum of Change forO='l in Argument. Sum of Annual Equation. Sum of Evection. Sum of ChangeforOs-1 in Argument. Number of 1 Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequalily. Sum of Change for OS'l in Argument. .2 >, 111 "l! Sum of Variation. Sum of Change for Os- 1 in Argument. Sum of Annual Equation. Sum of Evection. Sum of Change for(K'l in Argument. 1779 29 // 1857-27 K * 220. 40 \ \\ 65.80 139. 43 f * 33. 39 \ \\ 8.01 i 430-0 g x 42.70 \ \\ 9.62 33 it 1962-48 g * 305. 72 79. 81 10(5. 71 10.78 9.41 353-5 s * 31.44 \ \\ 8.38 1780 45 2856-06 292. 06 93.48 212. 34 54.42 12.73 1054-3 59.51 13.38 49 2985-83 389. 72 99.90 141.11 14.99 14.04 1073-0 64.03 13.33 1781 41 2531-97 306. 41 78.39 197. 60 49.66 10.29 980-0 56.32 13 01 56 3503-67 380. 57 110.34 125. 22 17.80 15.61 1153-8 80. 20 16. 17 1782 45 2936-79 307. 04 88.46 212.69 56. 02 13.38 914-2 60.17 13.03 59 3854-39 383. 53 126. 18 182.90 16.08 15.64 1424-3 60.86 17.95 1783 57 3530-99 396. 20 118.70 263. 23 71.09 15.91 982-6 84.02 17.69 64 4069-71 420. 96 131. 15 147. 09 18.57 17.04 1401-3 86.89 20.52 1784 52 3186-47 402. 13 I 110. 77 267. 85 64.74 15.92 1088-7 91.01 17.91 48 2937-69 356. 84 92.69 147. 80 14.94 14.44 959-4 84.77 13.70 17S5 54 1391-47 361. 39 110.75 238. 38 65.83 13.76 1055-1 84.00 17.34 64 4023-37 442. 07 120.22 203. 63 20.90 19.23 1269-4 108. 45 19. 47 1786 57 3614-00 325. 59 108.92283.98 70.48 16.25 966-8 86.69 13.87 59 3803-23 446. 97 106.01 157.49 17.94 17.09 1061-5 97.54 16. 76 1787 51 3291-84 274. 27 103.54275.32 62.21 13.51 1080-4 74.31 12.61 66 4309-67 425. 29 128.55 194. 74 19.61 17.53 1562-8 99.97 20. 16 1788 57 J677-30 303. 21 108. 00 271. 74 69.62 16.76 1206-4 71.35 14.02 57 3612-21 410.44 102. 23 155. 50 18.97 17.03 1325-9 93.31 16.01 1789 49 3091-77 295. 65 94.14 226. 73 59.40 15.06 1207-1 62.47 12.41 62 3955-42 426. 33 122. 90 148. 86 17.31 18. 85 1231-5 81.54 19.77 1790 48 3166-28 324. 60 93.36 219.46 61. 19 12.55 852-3 63. 60 15.58 50 3287-45 380. 66 100. 34 106. 38 13.78 13.74 1182-1 69.86 14.01 1791 55 3653-28 434. 06 102. 32 294. 31 67.78 16.80 1230-9 68.50 18.86 56 3766-59 368. 82 108. 22 135. 37 14.93 16.94 1243-6 73.49 19.22 1792 40 2568-81 259. 02 83. 17 191.65 49.75 11.33 686-5 54.50 11.63 47 3057-48 331.09 93.54 97. 71 12.18 13.64 922-9 64.72 14.23 1793 49 3151-67 335. 05 101. 86 225. 22 61.94 13.77 1045-8 60. 08 14.99 57 3583-21 371. 44 110.98 156. 69 15.47 15.91 1069-3 88. 82 19.21 1794 46 3059-71 331.18 103. 19 232. 92 58.63 14.33 909-8 91.13 13.49 62 4060-04 389. 73 128. 62 174. 16 17.58 18.65 1431-1 99. 69 10. 89 1795 58 3918-37 414.33 117. 97 292. 1 1 70.67 17.13 1271-2 94.69 17.60 65 4301-13 465. 30 131.47 159. 68 21.06 19.86 1460-8 100. 97 19.76 1796 54 3369-75 353. 84 98.45 245. 48 62. 57 14.74 1137-3 73.94 15.80 68 4098-75 500. 83 131.57 199. 22 17.79 19.15 1346-6 99.44 19.18 1797 40 2455-47 252. 32 79.43 1U6. 82 50. 06 10.00 940-9 54.16 10.81 49 2976-08 385.21 86. 27 179. 47 15.12 12.64 1117-8 89.34 14.61 1798 49 3095-42 271.97 98.35 228. 82 58.70 11.93 1174-5 70.33 12.43 64 3834-75 499. 89 133. 23 162.91 17.38 17.52 1353-2 82. 1 1 17.46 1 1799 45 2717-89 352. 20 85. 94 224. 20 56.58 11.97 968- i 63. 8 1 14.04 52 3152-09 370. 21 102.52 140. 39 15.71 14. 14 1220-7 69.76 15. 22 1900 49 3059-73 393. 12 95.52 1244. 52 60.64 15.70 1117-3 64.65 16.32 68 4232-75 457. 07 145. 44 180. 05 17.80 20. 44 1539-8 84. 62 22. 33 1801 63 3925-04 441. 72 126. 55 |301. 10 76.21 15.77 1337-5 89.94 20. 54 76 4650-95 456. 97 150. 12 215. 70 21.82 22. 12 1499-7 102.27 24. 91 1802 63 I 3742-01 555. 12 135. 52 309. 55 77.44 17.65 1340-9 99.89 21. 06 79 4637-06 600. 06 157. 58 248. 83 23. 66 21.98 1642-0 127. 70 23. 89 1803 58 3549-15 421. 52 123. 45 285. 74 i 69. 82 15.75 1274-2 93. 06 18.39 85 5216-15 516. 32 178. 51 224. 48 23. 39 23. 85 1949-8 125.45 26. 74 1804 50 3103-05 320. 82 107. 60 261.81 61.22 14.12 1148-3 85.58 14.56 47 2879-54 300. 62 85.40 132. 11 14. 21 13.19 1037-7 76.61 15.99 1805 43 2670-65 287.51 93. 33 215. 33 52.72 11.57 902-7 69. 58 11. 12 67 3896-45 501. 73 129.39 219. 58 18.51 21.08 1186-0 88. 12 18.65 1806 50 3126-14 330. 35 92. 73 236. 17 63. 26 14.06 1203-2 66.51 14.91 62 3706-43 413.77 120. 78 194. 32 15.27 18.74 1443-8 89. 32 18.30 1807 52 3023-45 358. 33 99. 18 248. 89 62. 20 16 23 1094-8 61.93 16.06 57 3381-59 410. 62 124. 55 166.28 16.81 17.90 1198-7 59.75 14. 96 Subliact for each Observa- tion. II 60-00 7.02 2.00 4.00 .? * 0.76 \\ 30 I 20-8 g * 1.42 U 30 60-00 x 7.02 2.00 \ \\ 4.00 g * 0.76 30 20-8 S 1.42 30 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [331J ANNUAL GROUPS FOR LARGE VALUES OF ANNUAL GROUPS FOR SMALL VALUES OF VARIATION. VARIATION. u rt * t" Number of Observations. l^_ Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for 08-1 in Argument. Sum of Parallactic Inequality. Sum of Variation. Sum of Change for 0*'l in Argument. Sum of Annual Equation. Sum of Evection. Sum of Change for Os-1 in Argument. (Number of Observations. Sum of Excess of Observed Longitude. .a .> S'i v- a 5 B 01 ill S.g> *l^ O.5 Sum of Parallactic Inequality. Sum of Variation. Sum of Change for OS'l in Argument. Sum of Annual Equation. sj = K % w Sum of Change for 0'l in Argument. 1808 62 n 3829-73 g ' 486. 20 13690 s 87.98 \ \\ 19.89 58 // 3562-45 g * 429. 12 X %\ 125. 19 162.67 17.54 \ \\ 17.31 1197-8 e * 66. 59 16.96 121. 90 305. 99 76. 07 14.87 1809 41 2607-89 320. 02 84.22 187.61 50.49 11.92 933-8 53. 88 12.18 53 3390-25 370. 85 114.27 146.66 15.12 14.58 1117-8 68.90 16.49 1810 43 2673-38 318. 34 97.73 227. 23 53. 43 11.87 932-0 70.86 12.28 64 3998-84 409. 00 129.95 187. 42 16.03 17.92 1442-6 94.25 20.09 1811 52 3113-52 343. 56 110.19 257. 24 63.69 12. 83 978-9 77.67 15.61 50 2963-51 337. 07 103. 19 135. 27 14.79 14.04 990-5 72. 88 16. 06 1812 46 2848-61 333. 81 92. 14 223. 70 54.77 12.49 1043-5 67.60 14.82 59 3539-97 395. 93 109.01 138. 33 15.03 15.67 1159-5 91.29 17.95 1813 45 2934-66 260. 30 93.23 241. 88 50.98 11.35 1107-7 68. 60 11.26 68 4156-31 517. 68 131.31 170.91 18.75 17.52 1369-3 109. 78 17.42 1814 39 2470-02 219. 34 79.40 213. 17 47.90 11. 72 901-3 52. 86 10.19 50 2909-80 354. 05 98.57 114.18 13.91 13.83 1038-7 72. 01 13.17 1815 42 2456-80 268. 47 77.59 224. 86 49.46 10.14 1031-0 49.05 12.13 53 2947-35 400. 15 100. 13 129. 68 17.04 15.78 1167-2 74.70 14.71 1816 32 1851-48 260. 86 67.73 167. 04 39. 62 9.93 607-3 41.41 10.62 45 2566-59 3-26. 52 91.14 129. 32 14.53 12.27 961-5 61.50 14.00 1817 44 26-27-80 272.31 89.64 247. 95 51.87 12.64 873-2 58. 02 13.33 47 2740-18 345. 83 103. 62 144. 33 12.15 12.75 1116-3 47.64 13.71 1818 36 2202-76 318. 48 63. 87 210. 24 43.51 10.44 949-6 38.37 13.05 59 3465-00 362. 20 122. 59 168.60 20.03 15.35 1162-0 77.54 19,05 1819 39 2205-74 285. 39 77.69 194.05 47. 02 10.35 703-9 62.68 11.48 56 3149-91 370. 41 116.23 130.67 17.88 14.35 1264-2 76.96 18.46 1820 53 3129-21 379. 25 108. 79 308. 69 65.83 15.09 1021-6 90. 0(> 16.05 61 2708-84 331.07 101,43 126. 86 13. 50 12.79 979-2 79.29 16.81 1821 48 2929-94 318. 97 102. 00 255. 24 56. 57 11.17 1129-4 79.78 13.90 61 3562-04 400. 92 120. 82 142. 15 17.62 17.92 1093-0 97.98 17.60 1822 53 3268-18 367. 46 117.16 277. 45 63.31 15.30 1119-2 86.36 16.54 68 3993-22 510.43 142. 32 207. 06 21. 97 17.91 1349-9 95. 78 18.39 1823 44 2741-96 248. 58 83. 66 253. 24 52.57 12.89 969-9 59.18 12. 29 59 3335-98 442.98 112.04 110. 40 17.34 14.89 1257-2 93.25 17.56 1824 48 2896-46 324. 32 82. 23 269. 91 57.16 14.15 1182-2 55.99 12.95 47 2657-35 339. 47 98.87 112.27 9.84 13.86 1036-9 61.64 13. 73 18-20 41 2101-38 254. 13 66.63 202. 21 50. 00 14.02 11352 51.91 12.12 47 2609-49 418. 45 82. 98 118.05 14.71 15.86 1280-5 71.88 12. 12 1826 42 2671-08 373. 53 75.94 205. 14 49.00 12.46 941-7 52.74 15.05 67 3970-95 475. 31 139. 01 167. 38 19.08 18.78 1433-8 73.54 21. 06 1827 45 2710-64 343. 61 99.45 234. 62 54.58 15.06 899-4 73.14 14.79 57 3311-05 395. 57 115.51 128. 52 16.51 18.40 1238-2 76.23 18.98 1828 43 2655-95 328. 68 88.06 225. 33 i2. 85 14.34 944-7 64.93 13. 82 60 3448-67 354. 04 124. 94 154. 34 16.94 18.67 1404-0 72. 95 21.51 1829 33 2064-73 206. 12 74.31 198. 97 39.73 9.59 630-3 63 71 8.66 48 2720-47 261.50 83.45 110.73 13.22 15.23 933-5 76. 32 15.81 1830 31 1888'54 224. 19 63.89 152. 08 36.81 8.55 634-1 51. 11 10.20 57 3337-84 397. 03 108. 46 105. 38 14.71 15.44 1148-4 92.97 10. 52 Subtract for each Observa- II 60-00 e - 0.76 30 20-8 K ^ 1.42 30 a 60-00 s * 0.76 30 \ 20-8 a v 1.42 30 7.02 2.00 4.00 7.02 2.00 4.00 tion. [332] EEDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF ANNUAL EQUATION. ANNUAL GROUPS FOR SMALL VALUES OF ANNUAL EQUATION. fa Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for 0'l in Argument. Sum of Parallactic Inequality. Sum of Variation. M > C a> 3 in 6J Sum of Annual Equation. sj a 'l fa O *J ||l o.S Number ot | Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for Os- 1 in Argument. Sum of Parallactic Inequality. Sum of Variation. Sum of Change for 0^-1 in Argument. Sum of Annual Fquation. Sum of Evection. O -J <5 c 3 ft) 5 5.5 e \ \\ , g " \ \\ g x \ \\ " e * > > K * , s " V 1750 30 1608-03 207. 23 75.99 04.91 18.63 8.95 1045-9 32. 17 10.94 1751 56 3376-73 62. 96 126.72 222. 23 37.91 17.15 1962-8 102. 17 19.18 53 2842-62 453. 09 104. 96 208. 35 33.65 13.92 430-1 58. 42 4.27 1752 68 4282-03 38.37 145.65 293. 08 51.09 17.87 2344-6 121. 49 20.54 70 3654-65 654. 82 40.54 240. 26 45.87 20.22 459-7 78.37 !). 00 1753 71 4113-20 20. 12 126. 94 258. 55 53. 67 17.44 2437-5 117.41 18.74 58 3010-89 471.73 23. 10 219. 24 42.58 13.86 408-3 59.47 8.14 1754 77 4284-55 01.98 129.03 260. 50 56.43 21.84 2725-5 119. 96 20. 15 57 3291-78 341.71 44.55 51.23 30.29 18.19 449-1 53.09 20.41 1755 56 3228-77 72. 58 106. 33 197- 32 33. 70 13.77 1887-9 71.14 12.55 45 2715-75 280. 20 06. 66 60.69 30. 15 11.90 371-8 55.93 16.46 1756 61 3801-14 75.65 130. 10 99.17 46.32 18.31 2183-2 47.83 15.85 58 3307-07 294. 98 21.16 226. 61 37.79 15.81 490-0 110.87 20.24 1757 60 3594-54 73. 62 136. 39 239. 90 47.54 16.97 2080-6 68.00 19.66 55 3061-54 237. 12 96.64 172.80 39.31 16.83 309-2 108. 64 17.23 1758 60 3442-69 93.15 144. 13 250. 65 44.80 17.57 2176-7 75.52 22. 93 58 3326-38 373. 15 103. 79 183.71 42. 88 12.90 430-4 112.57 17.74 1759 81 4726-59 62. 32 190. 88 334. 76 56.76 23.09 2731-2 140. 77 29.33 61 3619-46 491.77 100.41 218.49 44.74 17.06 472-5 90.05 13.74 1760 40 2485-71 01.92 83.10 162. 13 28. 92 10.55 1352-6 78.50 12.78 60 3393-03 574. 98 104. 33 190. 71 41.23 18.67 483-8 80.45 13.49 1761 37 2451-92 26.21 70. 42 139. 06 28.33 8.38 1243-9 71.63 10. 05 26 1352-71 267. 36 50.48 96.98 17.65 8.31 2-20-4 20. 38 6.93 1762 34 1936-17 03.07 45.38 93.36 21. 93 9.52 1115-6 55.00 10. 65 27 1541-66 212.81 67.64 72.80 13.90 7.89 247-2 21.16 8.78 1763 43 2323-37 47.56 72.88 187.16 30.02 11.21 1479-0 63. 63 11.16 33 1951 28 234. 07 82. 02 107. 11 19.95 7.23 257-9 36.80 10.35 1764 17 1071-30 67. 82 28.46 58.70 11.52 4.58 577-3 24. 29 4.79 43 2659-60 259. 68 102. 34 165. 18 33.48 12. 01 289-5 72.22 16.98 1765 79 4978-76 46.76 150. 85 332. 96 55.53 23.71 2646-6 78.03 23. 63 10 617-16 61.98 25.34 38.14 5.54 3.97 115-2 17.83 4.46 1766 55 3300-66 45.90 119.65 237. 66 44.63 15.83 2014-5 53.94 19.98 36 2031 '35 182. 85 61.24 106. 79 24. 85 8.65 224-1 65. 18 12. 69 1767 63 3652-00 54.60 144.84 250. 24 52. 01 16.84 2145-9 87.56 24.73 48 2793-20 289. 35 78.94 170. 10 35.19 12.94 274-3 87. 14 12.08 1768 50 3031-81 289. 57 121. 16 204. 87 35.85 14.53 1661-6 79.69 17.41 62 3852-10 552. 94 110. 24 204. 75 46.23 16.61 442-1 88.33 14.91 1769 70 4785-02 343. 69 153. 10 281.02 51.19 20.74 2425-1 136. 06 23.48 46 2710-61 348. 54 76.07 207.81 34.85 11.62 320-5 47.33 11.93 1770 70 4828-88 315. 39 129. 38 284. 01 48.03 19.24 2369-6 122. 72 19. 19 41 2358-93 357. 50 79.70 175. 45 30.05 11. OS 272-5 27.70 12.62 1771 63 3955-23 373. 28 108. 70 237. 09 49.04 16.79 2119-0 109. 40 16.16 49 2760-29 449. 59 111.53 179. 50 33. 30 14.22 415-6 48.32 14.89 1772 30 1761-00 227. 56 47.06 131.56 23.33 8.36 1114-4 31. 92 6.12 36 2166-25 288. 38 82.25 133. 19 20. 64 10. 19 289-8 35.99 13.79 1773 53 3367-79 480. 92 89.81 205. 07 36.97 15.64 1864-3 64.34 13.29 44 2787-11 223. 03 100. 69 150. 31 31.94 12. 36 374-1 64.39 16.79 1774 49 3304-44 490.71 105. 92 174. 31 32.95 15.04 1786-7 43. 15 14.65 61 3693-73 243. 96 123. 12 227. 54 45.21 16.94 427-4 118.51 20. 90 1775 14 970-51 124. 72 24.05 68.94 11.85 3.37 431-5 12. :}.- 4.85 54 3316-70 266. 91 98.17 199. 14 39.66 16.44 402-3 111.70 14.96 177C 65 4043-27 435. 34 158. 77 231.96 48. ia 18. 0( 2191-7 82. 2f 24.06 50 3218-24 289. 5" 76.92 165. 39 34. 14 14.65 304-6 99.75 12.18 177 r 65 4237-8 362. 21 144. 53 225. 5S 48. 01 17.8 2329-8 106. 7S 25. 98 53 3368-3- 398. 14 83.35 203. 43 43. 18 13.79 363-a 81.21 12.20 177S 68 4893-9 321. 5( 149. 14 286.3 47.21 17.0 2347-5 116. 81 20. 20 51 2950-5 460. 22 81.77 197. 67 37.36 15.63 318"- 60.13 10.85 Subtract for each Observa- H 60-00 K X 7.02 \ \\ 2.00 4.00 0. 76 30 20-8 e * 1.42 30 60-00 g * 7.02 2.00 4.00 s " 0.76 30 20-8 s "~ 1.42 n 30 tion. SECT. V. ANNUAL GROUPS OF RESULTS op COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [333] ANNUAL GROUPS FOR LARGE VALUES OF ANNUAL GROUPS FOR SMALL VALUES OF ANNUAL EQUATION. ANNUAL EQUATION. C ea "" j Number of 1 Observations. Sum of Excess of Observed Longitude. _u .2->, E| <* 3 3 o- || c Sum of Change for OS'l in Argument. Sum of Parallactic Inequality. Sum of Variation. Sum of Change for OS'i in Argument. Sum of Annual Equation. Sum of Evection. Sum of Change for 0*-l in Argument. Number of 1 Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. .Si 1&& i< o.S Sum of Parallactic Inequality. Sum of Variation. Sum of Change for 0- 1 in Argument. jj II a Is CO Sum of Evection. Sum of Change forOe-1 in Argument. // g v \ \* % \\ g * V >v < * v \ \v a a * \ \\ > e * \ \\ v g * > 1779 15 1041-44 77.80 37.31 76.95 13.17 4.30 502-6 32.65 4.29 47 2778-31 448. 32 108.30 168. 19 31.00 13.12 280-9 41.49 13.71 1780 51 3260-51 330. 85 90.58 198.68 39.06 13.43 1844-1 84.88 U.25 43 2581-38 350. 93 102. 80 154. 77 30.35 13.34 283-2 38.69 15.46 1781 62 3090-85 415. 25 81. 19 182. 46 36.85 14.69 1824-0 75.44 12.20 45 2944-79 271. 73 107.54 140. 36 30.61 11.21 309-8 61.08 16.98 1782 57 3733-89 468. 17 102. 17 237. 81 36.29 16.48 1955-8 56. 92 14. 62 47 3057-29 222. 40 112.47 157.78 35.81 12.64 382-7 64. 11 16.36 1783 59 3855-51 548. 78 1 30. 30 198.00 41.91 15.72 1984-1 57.53 17.86 62 3745-19 268. 38 119.55 212.32 47.76 17.23 399-8 113.38 20. 35 1784 50 3030-60 495. 13 115.96 237. 96 40.05 14.35 1720-2 76. 94 18. 32 50 3093-56 263. 84 87.50 177. 69 39.63 16.01 327-9 98.84 13. 29 1785 52 3151-82 383. 99 116.67 208. 92 37.03 13. 85 1809-8 72.61 19.08 66 4263-02 419.47 114. 30 233. 09 49.76 19.14 513-7 119.84 17. 7=5 1786 49 3138-04 243. 34 105.14 194.98 34.41 12. 81 1611-4 94. 84 16.11 67 4279-19 529. 22 109. 79 246. 49 54.01 20. 53 416-9 89.39 14. 62 1787 67 4550-94 287. 99 140. 54 279. 25 47.18 17.35 2292-9 120. 52 21.23 50 3050-57 411.57 91.55 190. 81 34.64 13.69 350-3 53.76 11.54 1788 61 4268-56 257. 63 103. 13 244. 97 43. 82 19.34 2126-5 113.74 15.72 53 3020-95 456. 02 107. 10 182. 27 44.77 14.45 405-8 50.92 14.31 1789 58 3640-05 365. 07 93.93 216.62 41.92 17.43 1991-8 95.50 12.79 53 3407-14 356. 91 123. 11 158. 97 33.79 16.48 446-8 48.51 19.39 1790 46 2962-99 393. 25 75. 88 156. 01 32. 82 11.65 1647-8 70.24 9.81 52 3490-74 312.01 117. 82 169. 83 42.15 14.64 386-6 63. 22 19.78 1791 62 4151-82 582. 30 101. 39 265. 75 48.77 18.89 2151-0 58.98 17.35 49 32G8-05 220. 58 109. 15 163. 93 33.94 14. 85 323-5 83.01 19.73 1792 38 2580-43 405. 63 85.45 117. 50 25. 98 11.60 1278-8 35.80 10.70 49 3045-86 184.48 91.26 171.86 35. 95 13.37 330-6 83. 42 15. 16 1793 53 3398-25 429. 51 117.11 191.62 40.85 15.27 1745-8 50.78 18.68 53 3336-63 276. 98 95.73 190.29 :J6. 56 14.41 369-3 103. 12 15. 52 1794 62 3994-67 412.36 146. 73 259. 37 43.78 19. 42 2055-1 100.61 24. 38 46 3125-08 308. 55 85.08 147.71 32. 43 13.56 345-8 90.21 10. 00 1795 66 4404-73 337. 76 155. 24 262. 46 51.03 20. 18 2303-8 113.83 24. 00 67 3814-77 541. 87 94.20 189. 33 40.70 16.81 428-2 81.83 13.50 1796 56 3721-61 261.91 101. 26 189. 96 35.39 17. 15 1962-9 107.97 18. 24 66 3736-89 592. 76 128. 76 253. 74 44.97 16.74 521-0 65.41 16.74 1797 53 3454-07 320. 10 96.17 209. 52 36.98 13.40 1845-0 94.03 13.12 36 1977-48 317. 43 69.53 166. 77 28. 20 9.24 213-7 49.47 12.30 1798 62 3802-71 397. 12 103. 44 249. 69 46.99 16.55 2127-2 96. 82 15.01 51 3127-46 374. 74 128. 14 142. 04 29. 09 12.90 400-5 55.62 14.88 1799 49 2910 91 399. 88 84.03 182. 30 34.50 14.56 1755-2 59.97 10.85 48 2959-07 322. 59 104. 43 182. 29 37. 79 11.55 433-6 73.60 18.41 1800 72 4470-92 657. 55 141.91 273. 16 47.93 22. 13 2397-2 68. 38 20. 39 45 2821-56 192. 64 99.05 151.41 30. 51 14.01 259-9 80.89 18. 26 1801 69 4423-15 595. 20 139.43 270. 87 49.75 17.47 2375-6 68.01 21.67 70 4152-84 303. 49 137. 24 245. 93 48.28 20. 42 461-6 124. 20 23.78 1802 71 4140-54 641. 58 162. 01 306. 63 51.35 20. 93 2478-7 90.07 26. 18 71 4238'53 513.60 131. 09 251. 75 49. 75 18. 70 504-2 137. 52 18.77 1803 80 4717-56 475. 50 194. 85 302. 16 54. 90 23.41 2749-5 117.71 29.51 63 4047-74 462. 34 107. 11 208. 06 38.31 16. 1 474-5 100. 80 15.62 1804 49 3045-84 268. 91 110. 01 190.41 35.70 13.95 1721-7 92.68 18.89 48 2936-75 352. 53 82. 99 203. 51 39.73 13.36 464-3 69.51 11.66 1805 49 3201-50 237. 64 100. 83 217.48 32.53 14.33 1715-9 93.47 13.66 61 3365-60 551. 60 121.89 217.43 38. 70 18. 32 372-8 64.23 16.11 1806 64 4125-58 321. 13 112.90 251.93 45.76 17.96 22159 110.81 18.76 48 2706-99 422. 99 100.61 178. 56 32.77 14.84 431-1 45.02 14.45 1807 56 3311-79 358. 50 96.96 234. 57 43.16 16.55 1928-8 77.03 11.65 53 3093-25 410.45 126. 77 180.60 35. 85 17.58 364-7 44.65 19.37 Subtract for each Observa- If 60-00 * % 7.02 \ \\ 2.00 \ \\ 4.00 g ( 0.76 30 20-8 g v 1.42 \\ 30 n 60-00 t v 7.02 2.00 \ \\ 4.00 e * 0.76 30 X 20-8 i v 1.42 \x 30 tion. [334] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF ANNUAL GROUPS FOR SMALL VALUES OF ANNUAL EQUATION. ANNUAL EQUATION. Number of Observations. Sum of Excess of Observed Longitude. !i 3.1 9.5 &0 . - - = a yy V < 6.s u .* 3 "3 C- -s S.2 Sum of Change for Os- 1 in Argument. Sum of Annual Equation. Sum of Erection. Sum of Change for 08- 1 in Argument. Number 01 1 Observations. Sum of Excess of Observed Longitude. . *o cr at i-S Sum of Change for 0^1 in Argument. "o'S~ ~ =: :: "If "o.J Sum of Change for 0*-1 in Argument. Sum of Annual Equation. *- a c o " CJ E a. Sum of Change for OS- 1 in Argument. n K * , , V, g v X \v g ' \ \\ a v V > * * 1808 61 3621-30 541. 84 109. 23 245. 24 46.00 17.03 2073-4 63.14 15.15 59 3770-88 373. 48 137. 86 223. 42 47-61 15.15 493-4 91.43 21.70 1809 50 3231-72 490. 26 96.79 171.18 34.89 14.00 1714-5 52.42 12.85 44 2766-42 200. 61 101.70 103. 09 30.72 12.50 337-1 70.36 15.82 1810 60 3790-19 497. 47 130. 03 222. 36 38.76 14.68 2027-1 61. 47 19.11 47 2876-03 229. 87 97.65 192. 29 30.70 15.11 347-5 103. 64 13.26 1811 45 2683'35 352. 71 111.20 171. 3J) 35. 64 12. 17 1572-4 55.33 16.30 57 3393-68 327. 92 102.18 221. 12 42. 84 14.70 397-0 95. 22 15.37 1812 48 2784-22 263. 41 111.93 165. 25 33. 28 12.20 1682-9 68.20 18.35 57 3604-30 460. 33 89. 22 196. 78 30.52 15.96 520-1 90.69 14.42 1813 62 3957-71 320. 97 132. 36 251. 97 42. 00 14.95 2119-1 111.76 18.85 51 3133-20 457. 01 92.18 160. 82 27. 67 13.92 357-9 66.63 9.83 1814 47 3080-01 151.44 87.91 189. 82 34. 64 13.87 1585-0 83. 15 12. 15 42 2299-81 421. 95 90.06 137. 53 27.17 11.68 355-0 41.72 11.21 1815 53 3230-69 272. 43 91.79 196. 16 39.01 13.87 1877-0 99.17 14.27 42 2173-46 390. 19 85.93 158.38 27.49 12. 05 321-2 24.58 12.57 1816 40 2157-83 318. 60 64.18 144. 32 25. 76 10.65 1305-6 52.93 10.03 37 2260-24 268. 78 94.69 152. 04 28.39 11.55 263-2 49.98 14.59 1817 46 2620-32 359. 28 76.18 215.25 30.94 11.96 1602-9 41.84 12.01 45 2747-72 258. 8fa 117.08 177.03 33.08 13.43 386-6 04.42 15.03 1818 52 3154-73 475. 37 99.56 233. 11 39.64 14.78 1779-2 40.40 16.56 43 2513-03 205. 31 86.90 145. 73 23. 90 11.01 332-4 75.51 15.54 1819 48 2725-28 425. 25 1 10. 24 155. 43 28. 99 13.00 1624-2 51. 02 15.41 47 2630-37 230. 55 83.68 169. 29 35.91 11.70 343-9 88.62 14.53 1820 45 2457-33 415.08 109. 94 208. 25 35.98 11.99 1588-9 63.82 16.76 59 3440-72 295. 24 100. 28 227. 30 43.35 15.89 411-9 105. 53 16. 10 1821 57 3238-40 314. 90 136. 26 222. 87 43.00 15.95 1933-2 90.46 20.52 52 3253-58 404. 99 86.56 174. 52 31. 19 13.14 289-2 87.30 10.98 1822 58 3485-39 316.01 147. 69 270. 49 41.81 17.84 1955-4 101.83 19.73 63 3776-01 561. 88 111.79 214. 02 43.47 15.37 513-7 80.31 1.3. 20 1823 52 3305-20 213. 26 94.17 174.85 34.77 14.89 1863-8 108. 76 16.97 51 2772-74 478. 30 101.53 188. 79 35. 14 12.89 363-3 43.67 12. 88 1824 57 3481-31 304. 40 94.26 239. 88 43.04 16.00 1960-b 88.97 12. 83 38 2072-50 359. 39 86.84 142. 30 23.96 12.01 258-5 28. 66 13.85 1825 61 3458-90 468. 46 85.99 219.51 44.85 19.70 2030-6 90.54 14.67 27 1551-97 204. 12 63.62 100. 75 19.80 10. 18 385-1 33.25 9.57 1826 56 3342-20 533. 19 94. 12 211.93 33.57 16.88 1955-8 65.22 13.89 53 3299-83 315. 65 120. 83 160. 59 34.5 14.36 419-7 61.06 22. 22 1827 55 3288-06 558. 27 1 1 18. 98 201.64 38.15 17.31 1787-9 50.28 16. 96 47 2733-63 180.91 95.98 161. 50 32.9 16.15 349-7 99.08 16.81 1828 57 3479-87 484. 36 127. 29 225. 20 39.33 17.66 1976-2 40.60 20.09 46 2624-75 198. 36 85.71 154. 47 30.4 15.35 372-5 97.28 15.24 1829 36 2015-15 250. 69 85.54 143. 06 23. 52 9.72 1239-9 48.55 14.07 45 2770-05 216. 93 72. 22 166.64 29.4 15. 10 323-9 91.48 10.40 1830 47 2695-98 227. 45 108. 28 151.64 28. 08 13.70 1570-9 74.45 17.53 41 2530-40 393. 77 64.07 105. 82 23.4 10.29 211-6 69.63 9.19 Subtract for each ft V a * > r v M " * V > vv g < t ' U Observa- 60-00 7.02 2.00 4.00 0. 76 30 20-8 1.42 30 60-00 7.02 2.00 4.00 0. 7t 30 20-8 1.42 30 tion. SECT. V. ANNUAL GRODPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [335] ANNUAL GROUPS FOR LARGE VALUES OF ANNUAL GROUPS FOR SMALL VALUES OF EVECTION. EVECTION. a V Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for 0?-1 in Argument. Sum of Parallactic Inequality. Sum of Variation. 1^ 1 Jj! Sum of Annual Equation. Sum of Evection. Sum of Chnnge for OS'l in Argument. Number ot | Obsrrvations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for Of -I in Argument. Sum of Parallactic Inequality. Sum of Variation . Sum of Change for Os-1 in Argument. Sum of Annual Equation. Sum of Erection. oil 1 II . 1750 11 $ 558-88 07.83 i 9.20 2.85 394-2 e > 24. 56 X \\ 4.57 19 1049-15 s v 99. 40 52. 27 34.41 g % 9.43 6.10 651-7 a * 7.61 6.37 23.72 70. 50 1751 55 3225-23 404. 34 116.23 204. 71 39.20 15. 80 1425-6 133. 36 17.00 54 2994-12 311.71 15.45 225. 87 32.36 15.27 967-3 27.23 16.45 1752 73 4373-48 514. 99 155. 06 281. 60 52.06 19.97 1813-3 165. 45 20.71 65 3563-20 478. 20 31. 13 251.74 44.90 18. 12 991-0 34.41 18.89 1753 61 3495-23 461.42 115.73 74. 64 12. 96 14.89 1637-5 140. 08 6.65 68 3628-86 430. 43 34.31 303. 15 53.29 16.41 1208-3 36.80 20.23 1754 59 3372-45 478. 92 112.90 151.81 40.25 18.16 1727-3 139.35 7.57 75 4203-88 464. 77 60.68 259. 92 46.47 21.87 1447-3 33.70 22.99 1755 45 2669-37 410. 31 89.47 158. 07 28.62 10.45 1015-8 101. 89 2.35 56 3275-15 342. 47 123. 52 199. 94 35. 23 15.22 1243-9 25.18 16.66 1756 54 3144-98 352. 61 1 14. 96 206. 40 41.18 14.73 775-6 124. 33 6.58 65 3963-23 518. 02 36.30 219. 38 42.93 19.39 1897-6 34. 37 19.51 1757 63 3577-34 411.83 119. 88 232. 79 48.90 18.52 913-6 141. 79 20.88 52 3078-74 398. 91 113.15 179.91 37.95 15.28 1536-2 34.85 16.01 1758 69 3930-86 574. 66 134. 08 273. 67 53. 46 17.84 1292-1 164. 83 24.51 49 2838-21 291. 64 113.84 160. 69 34.22 12.63 1315-0 23.26 16.16 1759 84 4976-43 637. 31 174. 79 339. 39 61.87 24.37 1958-6 200. 11 25.70 58 3369-62 316. 78 116.50 213. 86 39.63 15.78 1245-1 30.71 17.37 1760 59 3604-43 440. 64 110.40 192. 04 40.78 15.78 1334-2 135. 99 15.83 41 2274-31 336. 26 77.03 160. 80 29.37 13.44 502-2 22.96 10.44 1761, 36 2321-22 301.23 69.05 127.68 24.60 9.05 1057-3 79.85 9.32 27 1483-41 192. 34 51.85 108. 36 21.38 7.64 407-0 12.16 7.66 1762 27 1600-96 191. 45 44.28 58.97 14. 19 7.53 828-7 59. 72 8.49 34 1876-87 224. 43 68.74 107. 19 21.64 9.88 534-1 16.44 10.94 1763 31 1697-12 233. 47 52. 36 127. 60 23.24 7.83 774-6 76.22 9.64 45 2577-53 248. 16 102. 54 166.67 26. 73 10.61 962-3 24.21 11.87 1764 35 2142-76 298. 39 77.91 151.05 30.23 10.05 449-0 81.62 12. 40 25 1588-14 129. 11 52. 89 72.83 14.77 6.54 417-8 14.89 9.37 1765 31 1943-96 320. 12 57.32 124. 79 16.88 7.20 819-6 68.72 9.36 58 3651-96 488. 62 118.87 246. 31 44. 19 20.48 19422 27. 14 18.73 1766 41 2332-59 303. 2 1 74.33 155. 96 29. 39 9.60 751-5 93.79 15.21 50 2999-42 425. 54 106. 56 188.49 40.09 14.88 1487-1 25.33 17.46 1767 64 3642-09 514.61 122. 72 253.91 50.44 18.46 1213-1 149. 14 22. 15 47 2803-11 229. 34 101. 06 166. 43 36.76 11.32 1207-1 25.56 14.66 1768 62 3833-99 501.86 128. 55 196.13 45.77 15.66 1258-4 147.15 19.49 50 3049-92 340. 65 102. 85 213. 49 36.31 15.48 845-3 20. 87 12.83 1769 65 4315-93 409. 05 131. 52 253. 27 47.98 19.34 1869-5 154. 88 19.67 51 3179-70 283. 18 97.65 235. 56 38.06 13.02 876-1 28.51 15.74 1770 54 3663-47 311.05 98.03 214.79 32.86 16.28 1669-2 123. 1 1 16.75 57 3524-34 361. 84 111.05 244. 67 45.22 14.04 972-9 27.31 16.06 1771 58 3616-78 449.28111.60 197. 99 39.78 15.63 1582-3 135. 91 16.02 54 3098-74 373. 59 108 57 218.60 42.56 15.38 952-3 21.81 15 03 1772 22 1300-60 217.18 39.26 95.39 14.11 4.74 437-2 49.17 7.67 44 2626-65 298. 76 90.05 169.36 29. 8( 13.81 967-0 18.74 12.24 1773 44 2749-38 345. 81 88.66 166.81 34.27 11.01 927-0 100. 74 13. 29 53 3405-52 358. 14 101.84 188. 57 34.64 16.99 1311-4 27.98 16.79 1774 56 3482-08 324.98116.12 205. 18 42. 40 16.73 671-4 130.98 18.44 54 3516-09 409. 69 112.9-2 196.67 35. 76 15.25 1542-7 30.68 17. 11 1775 50 3132-9'2 264. 30 92. 34 184. 44 34.01 15.66 468-1 113. 10 14.28 18 1154-29 127. 33 29.88 83.64 17.40 4. 15 365-7 10.95 5.53 1776 68 4309-03 471. n 130. 92 273. 45 52. 21 20. 96 1171-9 156. 5fl 20. 92 47 2952-48 253. 74 104. 77 123. 90 30. 0( 11.69 1324-4 25.45 15.32 1777 68 4441-74 522. 4 140. 23 251. 88 48.1" 18.97 1607-7 158. 83 21.61 50 3164-45 237. 9a 87.65 177. 14 43. 02 12. 65 1085-7 29.lt 16.57 1778 63 4314-69 474. 51 127.86 230. 3d 42. 1C 17. 4fi 1675-1 143.8 17.11 56 3529-79307.21 103. 05 253. 6!) 42.4-; 15. 2ii 990-fl 33. IE 1.42 13.94 Subtract for each Observa- co-oo g " 7.02 \ 20-8 v 1.42 30 i 60-00 7.02 g 0. 7C 30 20-8 30 2.00 4.00 0. 7( 30 2.00 4.00 tion. GREENWICH LUNAR REDUCTIONS. [336] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF ANNUAL GROUPS FOR SMALL VALUES OF EVECTION. EVECTION. t Number of Observations Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for Os- 1 in Argument. Sum of Parallactic Inequality. Sum of Variation. 1| -11 S&? *Il - Sum of Annual Equation. Sum of Evt'ction. Sum of Change for OS- 1 in Argument. Number of 1 Observations. Sum of Excess of Observed Longitude. u .> "H I c c en Sum of Change for OS-1 in Argument. .a . |ll Jjj Sum of Variation. Sum of Change for Os- 1 in Argument. Sum of Annual Equation. Sum of Evection. Sum of Change for OS- 1 in Argument. // * ' \ \\ > g * \ \\ \ * x V U ii fi- v , * \\ K > > >v * * V V, 1779 23 1478-20 160. 70 54.96 129. 84 19.99 5.57 509-5 54.08 6.53 39 2341-55 359. 42 90.65 115.30 24. 18 11.85 274-0 20.06 11.42 1780 45 2898-59 362. 60 85.20 150. 56 34.24 12. 71 1306-2 97.41 13.04 49 2943-30 319. 18 108. 18 202. 89 35. 17 14.06 821-1 26.16 13.67 1781 49 3034-56 444. 92 92.95 164. 35 34.24 13.91 1102-9 113.96 15.63 48 3001-08 242. 06 95.78 158.47 33.22 11.99 1030-9 22. 56 13.55 1782 36 2379-80 260. 42 77.80 141.00 26. 78 10.94 592-9 82.71 10.03 08 4411-38 430. 15 136. 84 254. 59 45.32 18.08 1745-0 38. 32 20. 95 1783 50 3465-96 370. 98 115.39 212. 97 44. 07 15.95 784-5 134. 96 17. 10 65 4134-74 440. 18 134.40 197. 35 45. 59 17.00 1599-4 35.95 21.11 1784 64 3935-79 464. 55 124.44 282. 29 49. 53 19.35 1172-7 151.04 20.66 36 2188-37 294. 42 79.02 133. 36 30.15 11.01 875-4 24.74 10.95 1785 GO 4139-8-2 495. 79 126. 43 267. 35 45.75 19.40 1221-1 159. 87 20. 34 52 3275-02 307. 67 104. 54 174.66 41.04 13.59 1102-4 32.58 16.47 1786 68 4386-02 507. 37 132. 48 240. 37 49.15 19.44 1438-8 159.00 18.77 48 3031-21 265. 19 82. 45 201.10 39. 27 13.90 589-5 24. 63 11.80 1787 61 4037-55 401.20 125. 30 219. 43 41.21 17. 29 1747-3 141.93 17. 02 56 3563-96 298. 36 106. 79 250. 63 40.61 13.75 895-9 32.35 15. 75 1788 59 3996-27 342. 57 109. 17 173. 23 37.23 18. 17 1655-0 135. 88 15.40 55 3293-24 371.08 101.06 254. 01 51. 36 15.62 877-3 28.78 14.57 1789 50 3205-74 341. 12 91.25 157. 62 32. 75 15.65 1371-8 115.80 14.43 61 3841-45 390. 86 125. 79 217.97 42. 96 18. 26 10H6-8 28.21 17.75 1790 45 2927-76 393. 06 95.67 150. 91 33.33 12.97 984-5 100. 70 13.95 53 3525-97 312.20 98.03 174. 93 41.64 13.32 1049-9 20. 70 15. !)-80 250. 38 92.83 136.46 25. 48 12.06 1039-2 24.21 14.26 1795 73 4937-47 545. 59 152. 40 271.47 55. 59 22.45 1717-5 171.11 22.00 50 3282-03 334. 04 97.04 180. 32 36.14 14. 54 1014-5 24. 55 15.56 1790 64 4094-43 445. 95 114.18 220. 93 39. 42 18.21 1699-7 145. 85 18. 50 58 3304-07 40S. 72 115.84 222. 77 40.94 15.68 784-2 27. 53 16.48 1797 52 3221-38 413. 39 88.80 182. 44 32. 52 12.99 1279-9 119. 17 16.07 37 2210-17 224. 14 76.90 193.85 32.66 9. 05 778-8 24.33 9.35 1798 53 3310-64 404. 38 98.88 180. 71 39.07 13.64 1367-0 125. 52 14. 54 60 3619-53 367. 48 132. 70 211.02 37.01 15.81 1160-7 26. 92 15.35 1799 47 2903-57 402. 98 93. 18 177. 52 33.57 12. 62 959-7 109. 24 14.28 50 2966-41 319.49 95.28 187. 07 38. 72 13.59 1229-1 24.33 14.98 1800 53 3283-42 352. 22 106.84 212.80 37.46 15.55 837-4 116.36 18. 18 64 4009-00 497. 97 134. 12 211.77 40.98 20. 59 1819-7 32. 91 20. 47 1801 69 4180-32 433. 07 143. 69 269. 15 50.07 19.64 1045-0 158. 96 22.93 70 4395-67 405. 02 132.98 247. 65 47.96 18.25 1792-2 33.25 22. 52 1802 82 4854-03 684. 13 156. 15 334. 50 58.58 21. 12 1410-4 193. 76 25.69 60 3525-04 471. 05 136. 95 223. 88 42. 52 18.51 1572-5 33. 83 19.26 1803 82 5076-11 617.91 168.03 304. 68 57.09 24.51 1753-4 193. 13 25. 46 61 3089-19 319.93 133. 93 205. 54 36. 12 15.09 1470-6 25. 38 19. 67 1804 60 3774-96 402. 57 120. 17 213.81 45.39 17. 43 1495-9 138. 26 19.84 37 220703 218.87 72.83 180. 11 30.04 9.88 690-1 23. 93 10.71 '[ 1805 53 3340-13 327. 49 106. 50 200. 10 36.33 15.44 1336-7 118.54 14.93 67 3220-97 401.75 116.22 234. 81 34. 90 17.21 752-0 39. 16 14.84 1806 51 32-20-94 340. 47 92. 80 154. 85 32. 50 15.27 1454-0 122. 83 15.63 01 3611-63 403. 65 120. 65 275. 64 46. 03 17.53 1193-0 33. 00 17.58 1807 38 2-279-50 298. 07 75. 63 121.65 26 46 12.46 927-7 87.44 11.33 71 4125-54 470. 88 148. 10 293. 52 52. 55 2 1 . 67 1365-8 34.24 19.09 Subtract for each Ohserva- tion. // 60-00 7.02 2.00 4.00 g " 0.78 U 30 20-8 g 1.42 \\ 30 * co-oo e * 7.02 \ \\ 2. 00 % w 4.00 e 0.76 30 V 20-8 s * 1.42 30 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [337] ANNUAL GROUPS FOR LARGE VALUES OF ANNUAL GROUPS FOR SMALL VALUES OF ce EVECTION. EVECTION. (Number of Observations. Sum of Excess of Observed Longitude. 3 . l ft o.S <-> m "If Sum of Variation. Sum of Change for 0^\ in Argument. Sum of Annual Equation. Sum of Evection. r 0,0 | E v = J| o.S Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum oi Change for 08-1 in Argument. Sum of Parallactic Inequality. Sum of Variation. Sum of Change for 08-1 in Argument. Sum of Annual Equation. Sum of Evection. o| I o.S 41808 52 3159-76 * > 443. 24 \ 977-6 g v 123. 54 16.44 68 4232-42 e % 472. 08 V 1589-2 31.03 20. 41 110.33 229. 62 43.73 13.43 136. 76 239. 04 49.88 18. 75 180!) 41 2601-02 328. 14 87.95 151. 14 29. 46 10.54 654-8 97.55 12. 64 53 3397-12 362. 73 110. 54 183. 13 36. 16 15.96 1396-8 25. 23 16.03 J1810 59 3628-20 391.13 118.68 271.60 44. 00 17.00 869-6 141.75 18.00 48 3044-02 336. 21 109. 00 143. 05 25. 46 12. 79 1505-0 23. 36 14.37 i 1811 55 3203-08 420. 55 105. 47 192. 83 45. 29 15.41 806-2 125. 32 16.83 47 287395 260. 08 107. 91 199. 68 33.19 11.46 1163-2 25. 23 14.84 1812 56 3453-13 451. 31 108. 58 187. 98 37.99 15.48 1063-2 133. 12 17.14 49 2935-45 278. 43 92.57 174. 05 31.81 12.68 1139-8 25.77 15.63 1813 64 4151-80 508. 56 124. 16 236. 08 38. 76 17.63 1566-5 152.00 15.47 49 2939-17 269. 42 100. 38 176.71 30.97 11.24 910-5 26.38 13.21 J1814 42 2705-74 253. 01 76.28 154.61 30.57 13.19 1259-0 97. 21 10.45 47 2674-08 320. 38 101.69 172. 74 31.24 12. 36 681-0 27. 66 12.91 Il815 46 2783-93 320. 71 78.89 143.97 30.80 13.06 1381-7 104. 18 13.53 49 2620-22 347. 91 98. 83 210.57 35.70 12.86 816-5 19.57 13.31 1810 36 2049-08 297. 67 69.51 127. 08 26. 15 9.71 785-3 82.02 13.01 41 2368-99 289. 71 89.36 169. 28 28.00 12.49 783-6 20.89 11.61 1817 35 2059-96 249. 65 79.36 159. 43 27. 14 10.71 532-8 80.19 10.58 56 3308-08 368. 49 113. 90 232. 85 36.88 14.68 1456-7 26. 07 16.46 1^18 41 2394-58 313. 74 78.00 161.55 26. 08 10.57 658-1 91.85 13.96 54 3273-18 366. 94 108. 46 217. 29 37.46 15.22 1453-5 24.06 18.14 1819 49 2740-19 370. 28 93. 13 178.27 34.69 11.98 781-1 114.52 15.74 46 2615-46 285. 52 100.79 146. 45 30.21 12.72 1187-0 25. 12 14. 20 1820 62 3496-47 470. 21 114. 04 253. 72 50. 34 16.67 988-6 147. 41 19.58 42 2401-58 240. 11 96. 18 181.83 28.99 11.21 1012-2 21.94 13.28 1821 (56 3987-27 525. 8 1 123.61 242. 98 46.61 18.69 1227-1 154. 70 18.34 43 2504-71 194. 08 94.21 154. 41 27.58 10.40 995-3 23.06 13.16 1822 67 4094-59 538. 38 144. 46 257. 33 48 94 19.22 1643-7 155. 10 20.47 54 3166-81 339. 51 115.02 227. 18 36.34 13.99 825-4 27 04 14.46 1823 55 3380-12 354. 72 102. 14 168.87 34.78 15.34 1656-4 131.62 16. 17 48 2697-82 i 336. 84 93.56 194. 77 35. 13 12.44 570-7 20.81 13.68 18-24 39 2420-34 282. 99 63.62 141.22 26.21 10.95 1176-9 89. 76 11.25 56 3133-47 380. 80 117.48 240. 96 40. 79 17.06 1042-2 27.87 15.43 1825 44 2497-89 298. 96 78.87 123.68 27.65 14.89 1247-1 103. 99 12.01 44 2512-98 373. 62 70.74 196. 58 37. 0(i 14.99 1168-6 19.80 12. 23 1826 41 2494-17 343. 43 75.17 155.94 26.27 9.70 895-9 91.09 13. 15 68 4147-86 606.41 139. 78 216.58 41.81 21. 54 1479-6 35.19 22. 96 1827 55 3233-34 360. 72 110.96 200.71 44.21 17.70 743-5 125. 57 18.27 47 2788-35 378. 46 104. 00 162.43 26.88 15.76 1394-1 23. 80 15.50 1828 ;48 2799-15 272.91 92. 68 166.96 33. 08 14.76 612-2 113. 18 16.88 56 3305-47 409. 81 120. 32 212. 71 36.71 18.25 1736-5 24.70 18.45 1829 53 3165-91 305. 08 97.44 234. 50 38.31 16.77 828-8 124. 98 15.64 28 1619-29 162. 54 60.32 75.20 14.64 8. 05 735-0 15.05 8.93 1830 55 3323-48 439. 99 103.62 155.94 30.90 15.65 1095-7 129. 91 16.71 33 190290 181.23 68.73 101. 52 20. 62 8. 34 686-8 14.17 10.01 Subtract for each Observa- 60-00 s v 7. 02 2.00 \ \\ 4.00 K X 0.76 30 \ 20-8 g ' 1.42 30 60-00 * 7.02 2.00 4.00 0.76 30 20-8 g \ 1.42 30 tion. 2[Y]2 [338] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF EFFECT OF ANNUAL GROUPS FOR SMALL VALUES OF EFFECT OF MEAN INCLINATION. MEAN INCLINATION. Jumber Sum of Excess Sum of Effect Sum of Change Sum Dumber Sum of Excess Sum of Effect Sum of Change Sum of of of forO?'l of Evection of of of for Os- 1 of Evection Year. Obser- Observed Mean in in Obser- Observed Mean in in vations. E. N. P. D. Inclination. Argument. E. N. P. D. vations. E.N.P.D. Inclination. Argument. E.N.P.D. ii n ' X \\ a * v .> > 1750 6 308-34 87.23 7. 19 196-6 24 1443-35 155 35 27. 80 553-2 1751 49 2978-02 697. 49 58.80 12369 60 3801-70 384. 70 61.47 1328-7 1752 78 490996 1090. 63 84.35 1926-8 60 3693-86 384. 78 67.46 1311-7 1753 66 4179-43 884. 30 69.54 1811-1 63 3844-59 405. 49 68.63 1333-8 1754 74 4478-38 1034. 20 82.21 1828-4 60 3780-62 386. 90 62. 55 1400-3 1755 48 2900-50 660. 60 40.87 1179-1 53 3399-78 366.41 60. 32 1172-5 1756 63 3674-43 878.81 68.58 1463-1 56 3651-54 374. 41 52.40 1211-4 1757 64 3750-63 897. 06 57.50 1588-1 51 3540-11 339. 63 49.86 1273-1 1758 63 3730-88 889. 88 60.54 15692 55 3693-89 366. 02 51. 12 1218-9 175U 74 4439-37 1029. 14 71.30 1873-9 68 4302-78 432. 38 65. 37 1448-1 1760 42 2460-88 573. 30 39.69 959-6 58 3763-39 367. 04 63.49 1357-0 1761 28 1702-06 397. 38 28.07 676-7 35 2315-78 226. 06 39.99 720-1 1762 34 1925-45 474.91 26.89 882-1 27 1846-81 187. 47 22.96 674;0 1763 28 1645-59 389. 57 22.36 772-4 48 3253-79 308. 78 49.64 983-8 1764 27 1625-24 370. 88 24.04 721-0 33 2175-79 229. 14 39.15 708-9 1765 35 2097-36 485. 23 27.79 799-2 54 3326-38 336. 92 46.59 1379-6 1766 33 1936-71 447. 53 33.81 875-5 58 3635-68 369. 90 64. 62 1306-8 1767 56 3302-40 791.52 60.57 1448-9 55 3306-87 360. 01 56.70 12388 1768 52 2996-80 709. 05 61. 11 1309-2 60 3654-24 406. 77 65. 06 1241-0 1769 55 3209-06 746. 17 52.85 1477-0 61 3794-66 394. 78 57.83 142-2-7 1770 46 2697-23 629. 45 48.58 1100-2 65 3873-05 401.50 65.95 1449-1 1771 57 3485-26 774.81 53.71 1475-2 55 3274-48 354. 68 61. 08 1270-5 1772 31 1883-84 415.54 34.66 908-1 35 2043-41 229. 89 35. 22 836-7 1773 55 3243-08 766. 69 58.57 1342-6 42 2555-88 290. 76 46.52 943-2 1774 59 3520-18 815. 38 56.10 1503-1 51 3040-47 367.21 49.74 1 139-3 1775 34 2124-15 451. 81 24. 85 826-0 34 2156-94 233. 91 24.64 936-1 1776 57 3379-72 776. 62 59.79 1439-0 58 3642-25 372. 07 54. 12 1386-3 1777 52 3123-38 722. 07 54.20 1190-6 66 4079-86 426. 44 64.74 1430-7 1778 59 3320-27 816. 38 60.09 1557-4 60 3669-49 387. 74 61.60 1378-7 Subtract for each Observation. II 60-00 a 10.21 \ \\ 1.00 23-7 // 60-00 a * 10.21 1.00 23-7 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [339] ANNUAL GROUPS FOR LARGE VALUES OF EFFECT OF ANNUAL GROUPS FOR SMALL VALUES OF EFFECT OF MEAN INCLINATION. MEAN INCLINATION. Number Sum of Excess Sum of Effect Sum of Change Sum Number Sum of Excess Sum of Effect Sum of Change Sum of of of for Oe- 1 of Evection of of of for Ofl of Evection Year. Obser- Observed Mean in in Obser- Observed Mean in in vations. E.N. P. D. Inclination. Argument. E. N. P. D. vations. E.N.P.D. Inclination. Argument. E.N.P.D. // g ' > // s > \ \\ > 1779 15 795-20 206. 95 10.85 476-1 47 2856-11 303. 00 43.29 1161-9 1780 45 2257-09 610.09 40.33 1028-8 49 2876-18 327. 87 51.02 1166-9 1781 49 2815-26 659. 65 46.12 1350-3 48 2927-73 312. 53 37.34 1063-6 1782 42 2467-44 582. 49 47.89 964-7 62 3867-53 407. 39 61. 10 1432-3 1783 54 3171-45 732. 65 57.36 1357-7 67 4209-86 440. 75 66.10 1533-7 1784 39 2304-71 535. 49 42.21 769-3 61 3724-46 392. 13 61.07 1308-2 1785 62 3711-94 851. 16 71.11 1449-6 56 3423-83 386. 65 56.81 1220-7 1786 66 3834-90 926. 71 66.41 1512-8 50 3045-12 345. 35 46.81 1042-6 1787 52 3193-99 728.06 46.21 1328-2 65 4146-40 392. 54 66.12 1388-9 1788 44 2786-76 605. 83 46.07 1142-1 70 4366-47 439. 27 67.31 1669-5 1789 48 2944-44 668. 97 52.13 1131-7 63 3836-69 437. 22 73.72 1438-7 1790 50 3020-51 675. 75 54.12 1241-6 48 2870-96 318.76 56.50 986-6 1791 68 3938-79 946. 83 76.67 1715-3 43 2684-83 304. 39 48.50 1043-0 1792 50 2886-41 703. 71 52. 06 1144-2 37 2309-31 263. 65 34.02 802-9 1793 52 3053-94 727. 07 51.20 1285-2 54 3504-13 375.41 45.75 1214-3 1794 56 3360-95 792. 00 54.90 1386-8 52 3378-26 336. 14 57.89 1337-7 1795 61 3710-86 845. 69 53.27 1350-1 62 3975-67 424. 03 58.80 1464-4 1796 64 3677-45 893. 90 72.01 1630-8 53 3712-44 348. 54 57.85 1338-1 1797 51 2894-75 700. 63 54.09 1151-6 38 2538-60 247. 25 42.37 702-0 1798 54 3175-47 767. 35 49. 17 1291-6 59 3894-38 369. 78 54.30 1160-6 1799 52 3003-82 719. 20 46.88 1362-5 45 2903-65 298. 60 39.52 1016-3 1800 54 3326-29 742. 86 50.09 1194-2 63 4017-87 417. 14 62.10 1444-2 1801 62 3852-01 845. 91 65.55 1558-1 77 4931-50 476. 93 85.77 1655-9 1802 47 2898-22 658. 69 41.23 1107-3 95 5930-25 625. 39 95.92 2098-6 1803 68 4275-49 938. 77 66.40 1785-7 75 4765-69 483. 30 70.80 1607-6 1804 51 3159-98 708. 73 52.36 1384-4 46 2894-76 292. 17 42. 54 1091-1 1805 57 3527-67 796. 02 65.84 1265-7 53 3323-68 336. 72 48. 32 1293-1 1806 46 2928-19 638. 78 43.10 1159-4 66 4047-79 424. 17 69.63 141-2-0 1807 54 3480-98 758. 29 57.19 13233 55 3315-85 366. 42 58.48 1391 9 Subtract for each Observation. ft 60-00 * * 10.21 * \\ 1.00 23-7 // 60-00 g * 10.21 \ \\ 1.00 23-7 [340] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF EFFECT OF ANNUAL GROUPS FOR SMALL VALUES OF EFFECT OF MEAN INCLINATION. MEAN INCLINATION. Number Sum of Excess Sum of Effect Sum of Change Sum Number Sum of Excess Sum of Effect Sum of Change Sum of of of for Os-1 of Evection of of of for 0?'l of Evection Year. Obser- Observed Mean in in Obser- Observed Mean in in vations. E.N.P.D. Inclination. Argument. E.N.P.D. vations. E. N. P. D. Inclination. Argument. E. N. V. D. // a v V > // e " s u V 1808 57 3619-99 795. 08 54.01 1436-5 63 4057-99 397. 86 67.76 1434-4 1809 47 2899-85 663. 20 50.93 1175-5 47 3027-23 319. 86 46. 42 1051-1 1810 54 3356-07 . 747. 36 54.20 1268-7 53 3512-38 343. 22 52. 55 1120-5 1811 51 3136-74 709. 42 62. 17 1341-6 51 3266-07 347. 05 50.25 1069-4 1812 55 3395-06 742. 11 51.90 1393-8 50 3259-37 343. 55 42.99 1036-0 1813 59 3632-04 806. 80 62.05 1693-4 54 3388-95 341.94 50. 26 1282-8 1814 52 3062-29 731.08 51.23 13332 37 2357-00 248. 09 35.15 835-6 1815 52 3064-81 733. 48 52.40 1347-1 43 2749-55 285. 16 45.57 100T7 1816 39 2323-00 546. 51 40.36 1012-9 38 2431-72 237. 83 33. 27 893-8 1817 33 2256-89 519. 90 38.35 830-8 53 3342-83 342. 18 51. 09 1084-5 1818 41 2460-91 575. 99 35.69 93-2-1 54 3449-00 340. 26 49. 90 1139-8 1819 42 2565-22 574.34 40.92 1068-2 53 3401-57 337. 75 52.91 1185-0 1820 44 2646-59 613.56 47.32 1057-9 60 3762-77 395. 88 63. 20 1247-7 1821 53 3248-90 728. 54 52. 32 1240-3 56 355737 3(i7. 51 55. 59 1188-5 1822 54 3176-58 760. 39 65.47 1285-0 67 4202-05 414. 62 70.59 15495 1823 48 2939-98 649. 71 45.64 11547 55 3458-13 372.41 51.91 1289-4 1824 40 2476-22 552. 32 38.18 958-3 55 3378-36 366. 09 56.75 1271-2 1825 28 1741-07 363. 07 34.32 731-5 60 3659-92 381. 33 62.51 1433-4 1826 48 2944-32 653. 48 53.28 1250-9 61 3782-50 402. 87 67.74 14-28-6 1827 51 3042-24 703. 72 52.55 1069-5 51 3193-31 341.93 56.74 1308-4 1828 54 3246-54 746. 25 53.46 1309-8 49 3103-98 328. 69 48. 12 1183-9 1829 39 2443-02 525. 1 1 28.94 974-6 42 2654-63 276. 87 40.97 1088-0 1830 45 2786-98 630. 55 38.94 1187-7 43 2675-98 293. 99 42. 27 98(i-6 Subtract for each It a * \ \\ { // e v \ \\ Observation. 60-00 10.21 1.00 23-7 60-00 10.21 1.00 23-7 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [341] ANNUAL GROUPS FOR LARGE VALUES OF CHANGE OF ANNUAL GROUPS FOR SMALL VALUES OF CHANGE OF EFFECT OF MEAN INCLINATION. EFFECT OF MEAN INCLINATION. Number Sum of Excess Sum of Effect Sum of Change Sum Number Sum of Excess Sum of Effect Sum of Change Sum of of of for OS- 1 of Evection of of of for 05-1 of Evection Year. Obser- Observed Mean in in Obser- Observed Mean in in vations. E. N. P. D. Inclination. Argument. E. N. P. D. vations. E.N.P.D. Inclination. Argument. E.N.P.D. // v > ,< t // f ' , 1750 18 1043-97 152. 95 28.89 i 503-2 12 707-72 89.63 6.10 245-6 1751 64 4017-28 651.89 98.70 1502-1 45 2762-44 430. 30 21.57 1062-5 1752 76 4680-95 816. 60 115.53 1772-0 62 3922-87 658. 81 26.28 14665 1753 74 4551-52 736. 89 116.85 1717-0 55 3472-50 552. 90 21.32 1427-9 1754 76 4646-61 799. 88 118.47 1745-9 58 3612-39 621. 22 26.29 1482-8 1755 49 3022-70 469. 60 80.01 1038-6 52 3277-58 557. 41 21.18 1313-0 1756 61 3654-82 670. 66 95.99 1353-9 58 3671-15 582. 56 24. 99 1320-6 1757 49 2965-59 539. 19 78. 16 1199-5 66 4325-15 697. 50 20.20 1661-7 1758 55 3342-88 603. 94 84.98 1295-8 63 4081-89 651. 96 26.68 1492-3 1759 68 4-211-39 679. 39 104. 60 1498-9 74 4530-76 782.13 32.07 1823-1 1700 54 34-20-36 492. 67 83.75 1105-4 46 2803-91 447. 67 19.43 1211-2 1761 33 2201-52 317. 35 53.00 647-9 30 1816-32 306. 09 15.06 748-9 1762 23 1593-85 243. 45 35.26 488-8 38 2178-41 418.93 14.59 1067-3 1763 34 2304-25 285. 25 53. 14 652-0 42 2595-13 413. 10 18.86 1104-2 1764 32 2134-58 312. 09 51.92 715-2 28 1666-45 287. 93 11.27 714-7 1765 34 2129-28 286. 94 50.50 880-8 55 3294-46 535.21 23.88 1298-0 1766 51 3247-55 444. 50 80.85 1150-0 40 2324-84 372. 93 17.58 1032-3 1767 57 3507-36 399. 22 90.86 1362-9 54 3101-91 552. 31 26.41 1324-8 1768 67 3984-40 681.35 107. 90 1521-7 45 2666-64 434. 47 18. 27 1028-5 1769 52 3169-89 498. 75 83.26 1324-8 64 3833-83 642. 20 27.42 1574-9 1770 57 3435-38 514. 42 89.41 1218-5 54 3134-90 516. 53 25. 12 1330-8 1771 58 3547-57 579. 71 91.69 1337-0 54 3212-17 549. 78 23.10 1408-7 1772 38 2288-47 374. 60 59. 49 927-9 28 1638-78 270. 83 10.39 816-9 1773 56 3371-35 619.22 89. 10 12-29-7 41 2427-61 438. 23 15.99 1056-1 1774 52 3090-15 548. 81 83. 95 1181-7 58 3470-50 633. 78 21.89 1460-7 1775 22 1277-36 206. 80 34.68 055-9 46 3003-73 478. 92 14. 81 1106-2 1776 57 3321-20 574. 69 90. 30 1387-7 58 3700-77 574. 00 23. 61 1437-6 1777 58 3539-68 600. 47 9-2. 06 1317-5 60 3663-56 548. 04 26. 88 1303-8 1778 63 3699-53 632. 63 97. 22 1573-3 56 3290-23 571.49 24.47 1362-8 Subtract for eacli Observation. it 60-00 e v 10.21 1.00 \ 23-7 it 60-00 g v 10.21 1.00 23-7 [34-2] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF CHANGE OF ANNUAL GROUPS FOR SMALL VALUES OF CHANGE OF EFFECT OF MEAN INCLINATION. EFFECT OF MEAN INCLINATION. Number Sum of Excess Sum of Effect Sum of Change Sum Number Sum of Excess Sum of Effect Sum of Change Sum of of of for Os-1 of Evection of of of for Os- 1 of Evection Year. Obser- Observed Mean in in Obser- Observed Mean in in vations. E. N. P. D. Inclination. Argument. E. N. P. D. vations. E. N. P. D. Inclination. Argument. E.N.P. n. // n vv > H f * \ x\ I 1779 27 1609-65 206. 89 40.29 737-2 So 2041-66 303. 06 13.85 900-8 1780 46 2553-67 448. 04 73.13 1145-6 48 2579-60 489. 92 18.22 1050-1 1781 42 2463-29 446. 88 63.20 1043-3 55 3279-70 525. 30 20.20 1370-6 1782 56 3391-19 539. 44 88.70 1244-1 48 2943-78 450. 44 20.29 1152-9 1783 64 3986-40 614. 70 101. 39 1538-9 57 3394-91 558. 70 22. 07 1352-5 1784 51 3171-00 492. 07 80.73 1062-1 49 2858-17 435. 55 22.55 1025-4 1785 64 3908-17 677. 29 105. 24 1466-5 54 3227-60 560. 52 22. 68 1203-8 1786 55 3305-41 625. 24 87.35 1186-7 61 3574-61 646. 82 25.87 1369-7 1787 55 3411-02 529. 10 82.55 1274-1 62 3929-37 591. 50 29.78 1443-0 1788 55 3416-63 516. 99 86.39 1366-9 59 3736-60 528. 11 26.99 1444-7 1789 69 4178-15 686. 32 1 10. 29 1560-1 42 2(>02-98 419.87 15.56 1010-3 1790 58 3496-23 582. 07 93.48 1368-2 40 2395-24 412.44 17. 14 860-0 1791 65 3816-39 711.93 104. 97 1598-3 46 2807-23 539. 29 20. 20 1160-0 1792 43 2479-30 497. 91 69.06 962-2 44 271642 469. 45 17. 02 9849 1793 47 2741-91 510.32 73.69 1145-8 59 3816-16 592. 16 23.26 1353-7 1794 58 3535-84 589. 82 89.48 1421-9 50 3203-37 538. 32 23.31 1302-6 1795 55 3433-66 548. 81 86.38 1-269-5 68 4252-87 720. 91 25.69 1545-0 1796 69 4188-62 724. 47 104. 84 1577-8 53 3-201-27 617. 97 25.02 1391-1 1797 50 3141-77 513.18 79.74 1038-5 39 2-291-58 434.70 16.72 815-1 1798 50 3161-56 492.96 74.02 972-1 63 3908-29 644. 17 29.45 1480-1 1799 43 2722-02 427. 67 66.52 1001-4 54 3185-45 590. 13 19.88 1377-4 1800 54 3424-64 533. 35 85.78 1195-9 63 3919-52 626. 65 26.41 1442-5 1801 81 5233-59 758. 81 126. 39 1817-6 58 354992 564. 03 24.93 1396-4 1802 6S 435-2-71 599. 43 106. 24 1451-6 74 4475-76 684. 65 30.91 1754-3 1803 70 4499-35 715.46 107. 61 1571-5 73 4541-83 706. 61 29.59 1871-8 1804 47 2864-14 504. 79 72. 87 1222-4 50 3190-60 496. 1 1 22. 03 1253-1 1805 58 3507-93 647. 03 90.40 1273-0 52 3343-42 485. 71 23. 76 1285-8 1806 59 3583-74 533. 83 90.36 1326-3 53 3392-24 5-29. 12 22. 37 1245-1 1807 60 3676-70 616. 07 94.61 1461-9 49 3120-13 508. 64 21.06 1253-3 Subtract for each Observation. ff 60-00 f * 10.21 1.00 23-7 // 60-00 g v 10.21 1.00 23-7 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [343] ANNUAL GROUPS FOR LARGE VALUES OF CHANGE OF ANNUAL GROUPS FOR SMALL VALUES OF CHANGE OF EFFECT OF MEAN INCLINATION. EFFECT OF MEAN INCLINATION. Number Sum of Excess Sum of Effect Sum of Change Sum lumber Sum of Excess Sum of Effect Sum of Change Sum of of of for Os-1 of Evection of of of for OK-1 of Evection Year. Obser- Observed Mean in in Obser- Observed Mean in in vation!-. E.N.P.D. Inclination. Argument. E.N.P.D. vations. E.N.P.D. Inclination. Argument. E.N.P.D. // t * V vv V it f ' \ \\ 1808 64 4063-45 596. 07 98.02 1493-8 56 3614-53 596.87 23.75 1377-1 1809 51 3173-88 539. 82 79.95 1186-1 43 2753-20 443.24 17.40 1040-5 1810 54 3323-47 558. 64 84.81 1068-7 53 3544-98 531.94 21.94 1320-6 1811 49 2894-68 496. 08 78.93 1202-9 53 3508-13 560. 39 23.49 1208-1 1812 45 2609-59 469. 75 72.15 1050-8 60 4044-84 615. 91 22.74 1379-0 1813 55 3305- 13 573. 37 87.06 1385-3 58 3715-86 575. 37 25.25 1590-9 1814 41 2485-48 447. 13 64.06 947-5 48 2933-81 532. 04 22.32 1221-3 1815 49 2941-13 522. 33 77.58 1220-2 46 2873-23 496. 31 20.39 1134-6 1816 38 2323-61 395. 65 56.82 844-0 39 2431-11 388. 69 16.81 1062-7 1817 45 2692-37 439. 86 71.38 883-2 46 2907-35 422. 22 18.06 1032-1 1818 42 2527-40 407. 78 63.29 806-6 53 3383-41 508. 47 22.30 1265-8 1819 46 2851-97 422. 68 71.48 1027-7 49 3114-82 489. 41 22.35 1225-5 1820 57 3471-72 545. 51 90.11 1234-2 47 2937-64 463. 93 20.41 1071-4 1821 52 3173-41 517.22 83.21 1068-1 57 3632-S6 578. 83 24.70 1360-7 1822 73 4343-09 722. 91 112.83 1747-1 48 3035-54 452. 10 23.23 1087-4 1823 50 2995-78 507. 86 79.40 1151-3 53 3402-33 514.26 18.15 1292-8 1824 47 2865-47 455,61 74.60 1032-5 48 2989-11 462. 80 20. 33 1197-0 1825 52 3133-52 457. 01 83.08 1165-4 36 2268-07 287. 39 13.78 999-5 1826 62 3770-31 571.88 99.45 1448-5 47 2956-51 484. 47 21.57 1231-0 1827 58 3441-78 606. 75 91.42 1265-8 44 2793-77 438. 90 17.87 1112-1 1828 51 2972-38 520. 22 79.72 1127-2 52 3378-14 554. 72 21.86 1366-5 1829 30 1710-25 275. 07 48.47 643-1 51 3387-40 526. 91 21.44 1419-5 1830 40 2315-72 417. 42 61.87 869-5 48 3147-24 507. 12 19.34 1304-8 II g ^ \ \\ x // a > \ w % Subtract for each Observation. 60-00 10.21 1.00 23-7 60-00 10.21 1.00 23-7 , GREENWICH LUNAR REDUCTIONS. 2[Z] [344] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF EVECTION ANNUAL GROUPS FOR SMALL VALUES OF EVECTION IN ECLIPTIC NORTH POLAR DISTANCE. IN ECLIPTIC NORTH POLAR DISTANCE. Numbc Sum of Excess Sum of Effect Sum of Change Sum Numbe Sum of Excess Sum of Effect Sum of Change Sum of of of for 08-1 of Evection of of of for 0<>" 1 of Evection Vear. Obser- Observed Mean in in Obser- Observed Mean in in vations E. N. P. D. Inclination. Argument. E.N.P.D. vations. E.N.P.D. Inclination. Argument. E.N.P.D. // g " * \* i tf g * \ u I 1750 15 872-50 127. 29 17.81 535-5 15 879-19 115.29 17.18 213-3 1751 55 3330-39 593. 44 57.71 1889-4 54 3449-33 488. 75 62.56 675-2 1752 65 3969-18 745. 08 65.02 2272-7 73 4634-64 730. 33 76.79 965-8 1753 69 4315-56 772. 12 72.11 2369-0 60 3708-46 517. 67 66.06 775-9 1754 70 4268-27 759. 67 72.35 2432-4 64 3990-73 661. 43 72.41 796-3 1755 49 3104-10 510. 45 43.88 1650-0 52 3196-18 516. 56 57.31 701-6 1756 55 3436-66 597. 76 54.66 1850-0 64 3889-31 655. 46 66.32 824-5 1757 61 3879-88 667. 59 55. 94 2070-6 54 3410-86 569. 10 51.42 790-6 1758 56 3505-09 616. 95 50.99 1920-1 62 3919-68 638. 95 60.67 868-0 1759 69 4141-54 739. 83 60.02 2316-4 74 4600-61 721. 69 76.65 1005-6 1760 47 2865-50 441.32 43.13 1589-2 53 3358-77 499. 02 60.05 727-4 1761 28 1740-29 299. 45 27.92 966-6 35 2277-55 324. 09 40.14 430-2 1762 33 1915-00 365.41 18.27 1149-6 28 1857-26 296. 97 31.58 406-5 1763 34 2049-94 336. 26 26.26 1199-9 42 2849-44 362. 09 45.74 5563 1764 28 1597-96 305. 1 1 27.89 964-1 32 2203-07 294. 91 35.30 465-8 1765 51 3080-26 438. 24 44. 11 1679-1 38 2343-48 383. 91 30.27 499-7 1766 43 2639-86 400. 91 41.55 1505-9 48 2932-53 416. 52 56.88 676-4 1767 58 3455-72 644. 33 58.52 1962-1 53 3153-55 507. 20 58. 75 725-6 1768 55 3293-82 579. 87 64.15 1806-8 57 3357"22 535. 95 62. 02 743-4 1769 65 3867-24 668. 29 60. 55 2228-9 51 3136-48 472. 66 50.13 670-8 1770 51 2979-16 500. 78 50. 83 1726-0 60 3591-12 530. 17 63.70 823-3 1771 58 3466-39 607.91 54.74 1978-7 54 3293-35 521.58 60.05 76TO 1772 42 2550-61 430. 78 40.71 1438-5 24 1376-64 214.65 29.17 300-3 1773 47 2782-50 523. 17 46.53 1630-3 50 3016-46 634. 28 58.56 655-5 1774 59 3440-07 666. 56 54.77 1978-2 51 3120-58 516.03 51.07 664-2 1775 40 2530-69 386. 59 31. 82 1349-9 28 1750-40 299. 13 17.67 412-2 1776 59 3610-34 594. 05 59. 76 2069-6 56 3411-63 554. 64 54. 15 755-7 1777 51 3091-19 499. 73 51.51 1764-8 67 4112-05 648. 78 67.43 856-5 1778 63 3636-23 656. 08 68.59 2165-7 56 3353-53 548. 04 53. 10 770-4 Subtract for each Observation. If 60-00 * 10.21 1.00 23-7 a 60-00 s ~* 10. 21 \ \\ 1.00 23-7 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [345] ANNUAL GROUPS FOR LARGE VALUES OF EVECTION ANNUAL GROUPS FOR SMALL VALUES OF EVECTION IN ECLIPTIC NORTH POLAR DISTANCE. IN ECLIPTIC NORTH POLAR DISTANCE. Number Sum of Excess Sum of Effect Sum of Change Sum Number Sum of Excess Sum of Effect Sum of Change Sum of of of for 0?-1 of Evcction of of of for Orl of Evection Year. Obser- Observed Mean in in Obser- Observed Mean in in vations. E.N.P.D. Inclination. Argument. E. N. P. D. vations. E.N.P.D. Inclination. Argument. E.N.P.D. // a " V \ II g > \ \\ > 1779 40 2319-64 359. 78 35. 26 1348-1 22 1331-67 150.17 18.88 289-9 1780 43 2406-00 442. 19 47.31 1532-5 51 2727-27 495. 77 44.04 663-2 1781 54 3149-52 585. 06 46.09 1875-6 43 2593-47 387. 12 37.37 538-3 1782 49 2985-94 467. 09 50.49 1700-7 55 3349-03 622. 79 58.50 696-3 1783 61 3732-96 608. 30 62. 84 2073-4 60 3648-35 565. 10 60.62 818-0 1784 40 2403-98 359. 87 41.65 1308-4 60 3625-19 567. 75 61.63 769-1 1785 51 3074-07 548. 93 53.15 1762-4 67 4061-70 688. 88 74.77 907-9 1786 53 3135-25 590. 90 50.03 1773-0 63 3744-77 681.16 63.19 782-4 1787 57 3548-82 594. 91 53.71 1908-2 60 3791-57 525. 69 58. 62 808-9 1788 60 3717-18 573. 79 60.49 2089-7 54 3436-05 471. 31 52.89 721-9 1789 50 3340-34 566. 79 61.08 1859-3 55 3440-79 539. 40 64.77 711-1 1790 48 2895-83 504. 19 56. 75 1627-3 50 2995-64 490. 32 53.87 600-9 1791 63 3795-12 716.60 70.21 2145-5 48 2828-50 534. 62 54.96 612-8 1792 38 2346-71 434. 39 38.33 1294-9 49 2849-01 532. 97 47.75 652-2 1793 54 3334-66 586. 42 53.44 1849-8 52 3223-41 516. 06 43.51 649-7 1794 60 3749-09 629. 28 62.56 2106-0 48 2990-12 498. 86 50.23 618-5 1795 57 3560-58 564. 90 50. 62 1934-7 66 4125-95 704. 82 61.45 879-8 1796 62 3707-29 657. 18 59. 22 2157-4 60 3682-60 585. 26 70.64 811-5 1797 34 2044-91 388. 37 35. 55 1091-0 55 3388-44 559.51 60.91 762-6 1798 48 2978-54 540. 67 39.81 1580-4 65 4091-31 596. 46 63.66 871-8 1799 53 3091-20 595. 49 46.67 1830-0 44 2816-27 422. 31 39.73 548-8 1800 53 3309-89 497. 90 48. 68 1781-1 64 4034-27 662. 10 63.51 857-3 1801 69 4349-25 705. 29 70. 62 2291-8 70 4434-26 617. 55 80.70 922-2 1802 65 4041-17 629. 72 57.44 2200-8 77 4787-30 654. 36 79.71 1005-1 1803 77 4899-50 803. 84 67.87 2577-6 66 4141-68 618.23 69.33 865-7 1804 57 3562-10 597. 26 57.69 1972-8 40 2492-64 403. 64 37.21 502-7 1805 54 3370-09 548. 00 50. 28 1801-7 56 3481-26 584. 74 63.88 757-1 180(5 56 3482-14 551.63 51.57 1854-3 56 3493-84 511.32 61. 16 717-1 1807 58 3584-56 591.02 58.90 2005-0 51 3212-27 533. 69 56.77 710-2 Subtract for each Observation. ft 60-00 f " 10.21 * \\ 1.00 \ 23-7 // 60-00 g v 10.21 \ v\ 1.00 \ 23-7 [346] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGE VALUES OF EVECTION ANNUAL GROUPS FOR SMALL VALUES OF EVECTION IN ECLIPTIC NORTH POLAR DISTANCE. IN ECLIPTIC NORTH POLAR DISTANCE. Number Sum of Excess Sum of Effect Sum of Change Sum Number Sum of Excess Sum of Effect Sum of Change Sum of of of for 08-1 of Evection of of of for Os-1 of Evection Year. Obser- Observed Mean in in Obser- Observed Mean in in vations. E. N. P. D. Inclination. Argument. E. N. P. D. vations. E.N.P.D. Inclination. Argument. E.N.P.D. // g X U ' // e * \ \ I 1808 61 3950-32 645. 84 60.13 2095-6 59 3727-66 547. 10 61.64 775-3 1809 48 3099-34 524. 43 45.39 1625-4 46 2827-74 458. 63 51.96 601-2 1810 51 3357-06 533. 59 45.34 1674-0 56 3511-39 556. 99 61.41 715-2 1811 48 3031-36 531. 9G 51.95 1659-6 54 3371-45 524. 51 50.47 751-4 1812 52 3271-24 573. 17 47.25 1740-8 53 3383-19 512.49 47.64 689-0 1813 70 4362-04 753. 76 63.02 2375-3 43 2658-95 394. 98 49.29 600-9 1814 48 2912-03 550. 19 45.20 1630-3 41 2507-26 428. 98 41.18 538-5 1815 51 3091-16 571. 02 53.02 1741-0 44 2723-20 447. 62 44.95 613-8 1816 43 2674-89 457. 68 37.58 1476-6 34 2079-83 326. 66 36.05 430-1 1817 34 2107-09 320. 22 32.05 1158-7 57 3492-63 541. 86 57.39 756-6 1818 39 2426-83 390. 80 30.17 1331-4 56 3483-98 525. 45 55.42 740-5 1819 51 3168-69 527. 26 47.33 1699-7 44 2798-10 384. 83 46.50 553-5 1820 47 2880-59 483. 81 47.14 1585-3 57 3528-77 525. 63 63.38 720-3 1821 49 3045-25 526. 85 46.22 1689-4 60 3761-02 569. 20 61.69 739-4 1822 60 3636-63 599.61 72.11 2029-2 61 3742-00 575. 40 63.95 805-3 1823 50 3106-38 500. 99 42.82 1742-2 53 3291-73 521.13 54.73 701-9 1824 49 2991-83 470.96 46.90 1641-5 46 2862-75 447. 45 48.03 588-0 1825 45 2781-31 392. 19 41.32 1536-5 43 2620-28 352. 21 55.54 628-4 1826 55 3413-40 563. 73 54.78 1897-7 54 3313-42 492. 62 66.24 781-8 1827 49 3103-39 461. 23 47.44 1647-8 53 3132-16 584. 42 61.85 730-1 1828 56 3541-00 576. 46 52.66 1849-9 47 2809-52 498. 48 48.92 643-8 1829 51 3309-76 509. 10 37.86 1701-1 30 1787-89 292. 88 32.05 361-5 1830 49 3134-43 562. 58 37.25 1653-2 39 2328-53 361. 96 43.96 521-1 Subtract for each Observation. II 60-00 r > 10.21 \ u 1.00 | 23-7 // 60-00 e > 10.21 1.00 23-7 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [347] [In consequence of the great similarity of the Groups for Large and Small Values of Parallactic Inequality to those for Large and Small Values of Variation, it has been judged expedient to form the following Groups for Largest and Smallest Values of Parallactic Inequality and Variation. By adding these to the corresponding Groups for Large and Small Values, new Groups will be formed, very nearly equivalent to those which would have been formed by the Method of Least Squares.] ANNUAL GROUPS FOR LARGEST VALUES OP ANNUAL GROUPS FOR SMALLEST VALUES OF PARALLACTIC INEQUALITY, PARALLACTIC INEQUALITY, (including only those observations in which the Parallactic Inequality is greater than 6\00"). (including only those observations in which the Parallactic Inequality is less than 2". 00"). g JM Number of | Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for OS'I in Argument. oli m *j Sum of Variation. Sum of Change for (K-l in Argument. Sum of Annual Equation. Sum of Evection. Sum of Change for Oe-1 in Argument. Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for Os-1 in Argument. Sum of Parallactic Inequality. 3.1 B.S H Sum of Change for (M in Argument. Sum of Annual Equation. Sum of Evection. i* '.* t* t, <2 1 3 0) 3 a 8>& < i< 6s 1750 7 // 356-03 80.29 230-8 a " 17.04 % \\ 2.56 12 // 645-53 33.53 f ' 5.75 2.52 \ 415-2 K * 3.49 \ \\ 3.16 11.79 52.24 5.37 1.00 31.46 10.72 1751 38 2155-64 221.68 86.24 276. 47 33.29 6.68 819-9 49.93 10.23 36 2045-31 290. 53 70.47 28.72 17. 09 6.91 684-2 55.13 11.27 1752 43 2553-31 257. 40 93.94 315.94 37.98 6. 91 1027-6 62.41 11.16 52 2958-84 415. 47 106. 48 41.38 26.44 9.98 1010-2 80. 90 15.68 1753 46 2583-19 231. 64 80.3? 335. 87 42.46 7.83 1066-8 45.52 14. 18 54 2980-79 459. 45 107. 60 37.52 36.22 9.27 1175-2 92.69 14.63 1754 25 1430-16 108. 95 49-68 182. 73 18.33 4.21 769-3 19.44 7.51 59 3331-40 467. 33 124. 13 45.60 36.48 10.95 1341-8 87.94 18.57 1755 31 1826-58 175. 94 59.00 225. 56 26. 85 5.47 744-7 39. 65 9.29 46 2699-52 352. 69 101. 34 35. 20 18.32 8.53 1044-8 59.92 11.64 175(5 34 2045-08 294. 84 65.86 245. 14 36.06 6.44 737-0 52.07 10.63 46 2796-39 285. 23 101. 88 34.11 22.04 8.28 1065-8 61.36 12 81 1757 30 1688-66 252. 01 56.51 214. 51 32. 73 5.99 745-3 49.08 10.16 44 2587-57 280. 80 90.34 30.43 21.52 7.52 892-1 62. 00 14.11 1758 38 2106-54 287.67 79.02 277.40 38.18 6.53 893-8 64.88 11.70 47 2649-56 349. 17 89.28 30.09 26.48 7.48 831-4 74.31 16.09 1759 48 2764-36 348.10 100.41 347. 68 50.67 8.79 1162-8 83.98 13.04 48 2816-30 333. 84 94.57 35.51 20. 00 8.64 973-0 71.39 15.30 1760 26 1550-53 179.46 53.31 187.80 27.49 4.85 581-2 37.76 6.91 41 2400-40 355. 25 77.39 33.21 17.67 7.97 687-1 75.75 11.60 1701 20 1234-28 127. 84 46.48 146. 32 21.74 3.39 546-2 28. 74 4.60 26 1594-00 232. 52 40.94 20.71 11.11 4.90 633-5 46. 92 8.02 1762 8 464-42 37.71 12. 13 59.33 7.83 1.20 188-7 5.14 2.68 32 1834-87 223. 19 58.16 24.50 12.80 5.90 737-5 45.24 10.89 1763 29 1640-70 153. 53 57.68 212.43 26.41 4.83 725-1 35.56 9.45 30 1672-34 225. 51 66.99 20.38 13.09 5.13 582-8 40. 05 8.23 1764 20 1220-12 198. 15 45.30 141. 86 24. 07 4.33 270-9 39.27 7.61 23 1412-26 128. 17 46.68 16. 20 8.89 4.00 367-9 28.82 7.80 1765 30 1886-55 227. 39 40.24 216. 48 27.28 5.117 973-3 37.70 12.20 26 1654-98 241. 94 65.52 24. 40 9.50 5.66 834-4 34.25 4.82 1766 29 1776-36 233. 36 51.58 209. 38 31.96 5.45 820-2 41.76 11.24 35 1992-22 252. 70 68.99 24. 32 15.93 5.98 671-5 49.16 11.08 1767 37 2175-61 270. 64 72.70 269. 15 42.68 6.58 844-6 58.85 11.98 43 2457-81 298. 42 80.28 32.39 22. 82 7.89 826-1 62.96 13.56 1768 33 2144-16 212.81 74.34 236. 23 33.05 6.56 667-1 45.74 8. 12 45 2657-42 394. 93 88.04 32. 02 21.31 7.90 685-9 79.57 13.73 1769 42 2746-98 244. 36 90.88 306. 47 41.79 7.22 913-2 56.04 11.41 39 2411-25 276. 79 70.57 32. 89 14.40 7.79 958-3 64.01 14.03 1770 43 2906-39 275. 33 86.94 313. 54 45.20 7.48 969-7 49. 02 11.18 36 2259-19 214. 02 63.76 29.81 13.12 7.11 906-0 48.20 12. 28 1771 36 2203-76 225. 99 72. 96 259. 33 38.39 6.88 841-3 45.34 10.13 44 2643-93 373. 91 86.32 34.98 21.88 8.42 1005-6 68.66 12.45 1772 23 1417-23 149. 27 38. 66 167. 15 22.21 4.12 538-5 27. 53 7.64 24 1396-13 187.79 53.09 21.27 7.35 5.01 465-4 26.27 6.85 1773 30 1911-22 196. 19 56. 49 214.01 31.85 6.17 730-8 41.97 10.70 37 2345-75 267. 63 76.39 28.45 16.88 6.89 792-6 52.50 11. 18 1774 30 1934-36 179. 33 63.66 216.69 31.64 5.54 604-8 47.54 9.02 41 2588-59 278. 73 84.66 29. 31 17.06 7.15 836-8 55.84 13.36 Subtract for each Observa- // 60-00 a v 0.76 30 20-8 e * 1.42 \\ 30 // 60-00 ' 0.70 30 20' 8 a " 1.42 30 7.02 2.00 4.00 7.02 2.00 4.00 tion. GREENWICH LUNAR REDUCTIONS. 3 [A] [348] KEDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGEST VALUES OF PARALLACTIC INEQUALITY, (including only those observations in which the Parallactic Inequality is greater than &. 00"). ANNUAL GROUPS FOR SMALLEST VALUES OF PARALLACTIC INEQUALITY, (including only those observations in which the Parallactic Inequality is less than 2'. 00"). S Number of Observations. Sum of Excess of Observed Longitude. .- go Sum of Change for Os- 1 in Argument. Sum of Parallactic Inequality. Sum of Variation. o -g III x a< Sum of Annual Equation. < a c o Jj Sum of Change for OS- 1 in Argument. Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for 08-1 in Argument. Sum of Parallactic Inequality. Sum of Variation. Sum of Change for 08-1 in Argument. Sum of Annual Equation. Sum of Evection. Sum of Change for 0?'I in Argument. 1775 23 1523-00 e ' 126. 94 51.84 V \\ 164. 69 g v 25.73 4.56 i 330-0 36.99 5.77 23 1350-86 173. 26 274-6 e " 43.27 8.35 37.46 18. 13 9. 91 4.38 1776 29 1820-18 222. 59 62.34 210. 37 33. 11 5. 15 677-5 52.80 9.06 48 2972-98 291. 98 93.05 34.48 20. 21 8.46 1040-5 63.19 14.89 1777 36 2293-25 244. 15 71.45 260. 38 41.09 6.76 801-5 58.07 10.09 51 3268-16 342. 62 89.83 40.07 25.03 9.58 1135-6 75.70 17.86 1778 43 2957-60 259. 51 98.21 314. 27 43. 50 7.29 1119-5 55.96 9.28 39 2511-55 289. 94 70.06 29.79 15.97 7.21 845-9 64.01 12.83 1779 21 1379-44 204. 55 42.13 153. 53 19. 85 3.56 359-3 37.76 6.96 21 1231-62 140. 31 55.94 15. 14 10.48 3.68 154-4 15.81 3.90 1780 29 1836-28 115. 32 56.48 208. 52 28.18 5.59 764-8 28.94 9.00 34 2028-05 292. 35 76.34 23.84 18.77 5.85 730-2 54.00 8.94 1781 25 1569-78 180. 34 43.27 182.41 27.43 4.31 585-4 29.05 8.05 42 2588-70 301.06 87.95 26.79 19.79 6.75 890-1 59.37 12.36 1782 33 2149-93 194. 97 69.95 237.81 30. 77 6.24 788-1 41.62 11.40 40 2604-26 261. 37 87. 25 32.38 17.37 7.75 810-4 42.05 11.20 1783 34 2122-60 228. 17 68.78 242. 00 38.08 7.12 6595 54. 32 9.71 54 3416-94 372. 43 109.11 39.01 27.59 9.59 1005-6 69.23 1-7. 14 1784 35 2091-70 289. 02 70.64 251. 26 37.23 6.81 875-0 66.01 11.34 29 1795-81 241.97 53.50 23.59 16.35 5.64 445-7 49.21 8.81 1785 38 2405-80 285. 85 84.01 275. 30 34.58 6.90 864-6 65.36 10.09 45 2804-32 333. 85 77.38 36.55 29. 40 8.62 817-9 63. 67 16.73 1786 36 2338-19 216.39 69.34 259. 93 37.39 6.78 672-3 50. 72 9.48 41 2609-39 321. 19 79.88 30.16 23. 22 7.33 717-0 70.57 12.49 1787 42 2664-27 246. 90 89.95 305. 92 42.44 7.32 948-6 51.25 10.28 41 2700-07 264. 13 78. 6, - It 3 -"* Sum of Change for OS'l in Argument. Sum of Parallactic InequalitT. Sum of Variation. Sum of Change for Oi'l in Argument. Sum of Annual Equation. si j! Sum of Change lor 0-1 in Argument. Number of 1 Observations. Sum of Excess of Observed Longitude, Ij- 8| B 00 W) sis las, << u.S all 111 Sum of Variation. o.S Sum of Annual Equation. Sum of Evection. Sum of Change for 0-1 in Argument. 1803 42 2491-80 S * 313.19 \ 914-6 e * 60.80 X XX 10.77 59 ft 3664-94 e * 399. 15 115. 48 47.59 g v 24.51 \ vv 11.42 i 1309-7 e 79.50 20.02 95.23 304. 58. 40.64 7.57 1804 35 2092-33 217.68 73. 45 252. 90 J6. 33 6.54 733-9 46.12 9.43 32 2006-77 236. 12 55.52 23. 96 17.54 5.82 698-0 61.29 11.91 1805 40 2425-58 263. 06 86.21 284.21 34.52 8.39 879-1 59.16 12.38 37 2200-64 260. 79 80.26 32. 05 16.73 7.60 631-0 56.31 9.80 1806 37 2275-88 186. 17 73.00 263. 96 33.82 7.62 893-3 37.67 10. 82 41 2472-04 329. 00 79.47 36.50 21. 10 8.55 970-1 66.55 12.89 1807 29 1691-62 158. 14 53.30 212. 24 28.54 4.89 756-8 24.29 9.09 37 2201-13 270. 73 84.70 33.44 18.81 7.83 669-5 46.48 9.18 1808 42 2595-68 311.51 81.31 304. 96 45.44 7.60 847-4 62.44 14.24 43 2730-63 317. 31 92.84 31.29 22. 67 7.63 936-4 51.76 11.90 1809 27 1765-95 208. 55 55. 03 194. 50 28.47 5.15 578-7 40. 22 8.86 39 2461-08 262. 72 87.24 30.28 16.90 7.36 849-1 47.67 11.09 1810 38 2364-47 307. 04 77.58 273. 20 36.74 7.34 822-0 69.93 12.16 42 2578-64 254. 44 97.32 37.85 13.82 8.93 1062-3 51.23 11.91 1811 34 2080-25 203. 18 72.74 250. 00 35.01 5.53 628-2 43.59 10.30 38 2209-46 294. 26 76.98 27. 74 22. 67 6.78 699-1 60.38 11.72 1812 30 1883-64 231. 87 64. 50 216.90 29.94 5.59 705-7 42.06 9. 15 44 2583-30 303. 26 80.36 29.77 19.38 7.46 896-2 67.28 14.72 1813 35 2344-24 266. 32 80.69 259. 29 31.46 5.25 921-4 54.41 8.05 47 2780-07 350. 18 91.03 34.40 15. 58 8.43 891-2 67.59 12. 69 1814 27 1731-56 138. 75 56.78 102. 58 31.52 5.48 689-3 34.08 6.90 34 1972-58 231. 88 70.99 25.53 10.14 6.26 646-4 49.10 9.64 1815 29 1695-80 140. 50 56.92 214. 23 32.67 4.54 703-7 27.47 8.43 37 2049-73 322. 52 70.75 28.33 13.39 6.85 858-4 57.35 11.11 1816 26 1585-77 182. 69 56.75 184. 99 28.43 5.36 552-2 34.48 7.97 29 1609-00 208. 29 56. 02 23.89 9.28 5.68 606-1 43.49 9.56 1817 35 2140-50 203. 67 67.99 256. 80 35.41 5.69 901-3 41.32 10.55 29 1689-16 196. 46 67. 10 26.45 7.74 6.22 545-2 27.32 7.91 1818 33 2040-27 261. 78 57.82 242. 91 33. 23 5.27 847-3 40. 72 11.62 33 1891-24 183.51 68.41 24.69 10. 14 5.99 599-6 38.95 11.11 1819 27 1548-25 177.28 55. 16 196. 23 28. 40 4.82 579-3 44.73 7.96 43 2371-11 292. 67 88.29 30.79 18.35 7.53 861-9 60.33 14.27 1820 42 2501-04 308. 91 92.49 301.35 47.60 8.26 892-6 67.59 11.67 35 1860-48 237. 07 63.04 25.55 10.57 6.32 571-6 58.55 12.90 1821 36 2228-80 245. 30 81.00 259. 79 39.58 6.71 791-2 55.30 10.52 43 2456-68 327. 72 81.82 31.66 17.13 7.69 781-8 69.51 12.40 1822 43 2663-33 300. 37 91.97 312. 60 41.78 7.65 968-5 59.08 11.83 43 2484-57 357. 81 90.88 32. 58 17.24 7.85 688-0 68.51 11.29 1823 30 1849-67 160. 76 56.97 217. 01 34.85 5. 52 606-7 34.98 8.49 44 2459-60 342. 85 84. 17 32. 95 13.89 7.94 973-7 72. 89 13.57 1824 33 1990-16 187. 39 65.99 238. 16 38.54 6.20 850-3 35.33 8.56 31 1781-29 229. 97 57.38 27.84 7.51 6.61 729-9 46.24 10.16 1825 20 1201-27 102. 77 33. 00 140.68 24. 27 4.44 592-4 17. 14 5.96 28 1551-16 285. 30 46.41 22.28 11.25 5.40 795-3 48.51 8.48 1S20 27 1772-72 204. 11 49.10 196. 99 25. 26 4.62 636-3 38.37 10. 33 46 2671-97 298. 48 94.12 35.85 17.08 8.65 840-2 55. 3-2 15.38 1827 21 1333-58 131.42 42. 23 151.71 25. 04 3.93 437-8 32. 22 6.87 36 1960-21 272. 56 75.82 31.93 11.99 7.49 781-5 52.40 11.45 1828 25 1604-76 162. 70 40.91 179.79 25. 34 4.83 573-6 37.06 9.07 35 1924-84 210. 38 75.11 29. 38 12.38 7.03 770-9 46.31 11.71 18-29 22 1400-03 172. 16 52. 25 161.86 24. 28 3.53 498-7 44. 15 5.47 28 1504-51 130. 91 49.91 25.78 5.95 6.09 600-0 37.83 10.97 1830 19 1172-74 136.51 41.40 13(i. 56 22. 00 3.7-2 442- 1 23. 59 4.89 45 2593-69 349. 60 82. 12 34.44 14.91 8.30 782-7 74.46 14.02 Subtract for each Observa- 60-00 g " 7.02 2. 00 \ 4.00 e ' 0. 7 S 5.2 Sum of Parallactic Inequality. Sum of Variation. 00 o -J 1- s| lit 5.S Sum of Annual Equation. Sum of Evection. Sum of Change for fls-1 in Argument. 1750 6 it 298-21 41.70 r * 8.32 \ \\ 1.70 216-8 10.76 \ \\ 2.07 11 ir 594-73 > 66.86 % 378-9 g * 8.62 4.09 14.17 27.82 29.37 30. 32 1.44 3.46 1751 22 1294-73 137. 03 47.69 117.12 30.75 5.72 533-2 38.47 6.34 37 2122-49 221. 58 77.04 106. 52 3.74 10.95 833-7 47.03 11.86 1752 32 1895-17 211.21 67.64 155. 30 44.94 9.65 718-6 50.75 8.69 42 2303-83 324. 54 85.07 110.41 4.78 11.96 733-0 56.28 12.11 1753 36 2040-12 228.81 63.97 159. 93 50.74 9.38 806-0 44.86 10.53 36 1904-74 303. 07 67.83 92. 82 4.85 10.35 810-3 56.65 9.57 1754 25 1374-43 198. 45 46.38 90.49 34.25 6.81 686-0 32. 37 8.22 45 2547-96 312. 58 96.84 119.79 4.97 13.65 969-6 56.42 13.27 1755 20 1169-68 138.02 39.32 113. 83 27.78 5.60 468-8 22. 41 5.72 38 2266-18 293. 48 81.52 85.06 3.54 11.06 911-2 45.80 10.46 1756 31 1865-35 245. 61 57.58 174.41 43.28 8.99 799-0 42.90 10.04 34 2056-01 219. 27 74.53 73.94 3.80 10.26 669-5 44.03 10.76 1757 29 1677-03 233. 29 58. 33 158. 26 40.42 8.50 636-0 43.76 9.53 32 1852-91 202. 59 61.31 63. 32 3.60 9.29 622-5 44.61 10.48 1758 31 1759-55 262. 71 70.23 163. 28 42.88 8.41 698-7 56. 32 10.71 27 1539-30 165. 93 50.90 64.43 3. 15 8.08 588-9 43.66 8.94 1759 35 2049-31 231. 24 77.81 208. 78 49. 19 9.74 779-3 59.53 10.11 39 2299-80 250. 15 73.51 85.20 4.28 11.39 886-9 63.20 12.41 1760 26 1583-04 159. 20 52.92 139. 25 35.52 7.39 503-5 42.93 6.68 34 1986-98 291.36 58.03 64.43 3.50 9.91 613-1 61.22 8.53 1761 16 1003-51 86.09 31.47 98.79 22.10 4.73 398-8 21.96 3.96 16 928-62 156. 71 29.33 35.42 1.18 4.85 325-6 27.19 3.54 1762 11 644-61 61.58 15.70 59.01 15.05 3.30 291-9 9.63 3.25 21 1204-10 131.49 38.73 33.74 1.77 5.98 523-9 31. 62 6.86 1763 16 939-92 81.56 31.96 90.86 22.35 4.14 403-2 22.06 4.06 25 1427-53 160. 90 55.75 61.49 2.63 6.82 526-4 27.92 8.14 1764 19 1169-66 188. 78 45.23 127. 15 27.02 5.43 219-1 37.78 7.24 18 1179-86 87.36 40. 22 31.94 1.73 5.60 297-7 22.87 6.67 1765 18 1136-59 156. 72 24.49 111.28 25.58 5.54 634-3 8.72 6. 16 29 180524 252. 96 61.27 86.76 2.73 9.27 861-1 36.25 7.94 1766 28 1661-03 260. 14 56.26 159. 88 39.03 7.94 714-4 39.74 10.85 28 1590-11 167. 00 56.01 56.53 3.19 7.89 587-0 40.44 9.48 1767 36 2132-15 287. 16 76.95 194. 03 49.81 9.47 846-9 57.36 11.97 29 1654-25 193. 00 54.30 43.77 2.57 8.43 566-2 46.35 8.97 1768 31 1979-15 219.07 66.49 173. 62 43.19 9.98 561-7 47.45 8.65 33 1966-97 237. 32 66.96 66.75 3.34 8.96 640-6 47.00 10.41 1769 34 2246-10 231.42 71.23 200. 40 47.10 10.45 756-4 52.94 9.68 33 2082-08 173. 60 61.99 70.77 3.87 8.34 839-6 53.91 11.46 1770 28 1886-50 163. 99 48.11 178.90 39.32 8. 18 560-3 30.14 7.70 35 2174-88 220. 19 66. 69 76.04 4.05 10.43 879-5 51.83 11.11 1771 33 2032-15 236. 23 61.60 175. 20 45.96 9.26 745-0 42.83 9.67 34 1984-31 263. 03 64.42 72. 99 3.29 10.24 693-8 52.03 9.36 1772 16 990-46 120. 67 26.69 100. 01 22.80 4.91 370-0 17. 42 4.76 24 1385-86 193. 44 56.65 57.29 2.84 6.58 404-7 25.30 6.81 1773 25 1578-38 172. 40 47.01 149. 52 35.31 7.00 603-4 34.36 7. 21 31 1984-18 181.14 62.00 70.74 3.09 8.67 720-7 37.30 10.38 1774 24 1511-89 163. 11 57.06 141. 55 33.59 7.81 418-0 43.65 7.02 31 1972-43 186. 69 61.79 55.37 3.09 9.35 640-8 43.01 10.39 1775 19 1255-84 126. 69 40.93 114.54 26.68 5.27 284-4 27.23 4. 98 20 1191-13 98.28 29.91 39.97 1.77 5.97 230-2 41.67 7.20 1776 23 1446-05 170. 26 50.41 139. 87 32.39 6.65 531 -2 42.23 7.57 33 2070-19 204. 77 61. 92 42.17 3.43 9.18 616-9 53.09 10.06 1777 34 2174-98 237. 23 70.43 184. 73 48.54 9.57 687-4 52.69 9.90 32 2053-93 200. 32 54.42 54.68 3.05 9.11 609-3 56.60 10.52 Subtract for each Observa- tion. // ' 00-00 7.02 2.00 4.00 % " 0.76 VV 30 20-8 t > 1.42 u 30 n 60-00 7.02 2.00 4.00 s * 0.76 \\ 30 20-8 e 1.42 \\ 30 SECT. V. ANNUAL GROUPS OF RESULTS OF COMPARISON OF MOON'S OBSERVED AND TABULAR PLACE. [3.51] ANNUAL GROUPS FOR LARGEST VALUES OF ANNUAL GROUPS FOR SMALLEST VALUES OF VARIATION, VARIATION, (including only those observations in which the Variation is greater than 1*. 20'). (including only those observations in which the Variation is less than 0*. 30 V ). Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for Os-1 in Argument. Sum of Parallactic Inequality. Sum of Variation. Sum of Change for Os-1 in Argument. Sum of Annual Equation. Sum of Evection. -6.1 Number of I Observations. Sum of Excess of Observed Longitude. .52 Q, ^ 11 *" s ""* CO ill 8 6.s Sum of Parallactic Inequality. Sum of Variation. Sum of Change for 0-1 in Argument. Sum of Annual Equation. Sum of Evection. Sum of Change for 0'l in Argument. 1778 29 1909-75 e x 165. 85 X XX 57.58 X XX 174.83 K > 40.64 X XX 8. 12 \ 578-7 g % 42.24 6.91 36 ft 2346-71 g 250. 91 \ \\ 68.80 846-4 e * 56.03 X XX 10.52 91.24 4.39 10.74 1779 12 771-06 109. 84 26.74 69.39 17.06 3.07 166-6 19.30 4.19 17 995-26 160. 04 42.86 49.58 2.15 4.91 171-3 14.91 3.91 1780 23 1454-41 146. 23 47.44 122. 05 J2. 48 6.88 598-8 35.09 6.49 25 1501-06 187. 70 50.32 62.37 2.83 7.04 566-8 35.80 6.43 1781 22 1346-40 197. 13 42. 17 128. 35 30.41 5.95 481-0 30.27 7.96 30 1886-78 207. 45 62.58 45.93 3.85 8.52 601-4 38.84 8.84 1782 27 1764-74 195. 66 51.58 143. 95 37.89 8.20 536-6 36.19 8.21 37 2405-05 236. 39 84.53 80.07 4.16 10.60 844-0 35.30 11.68 1783 36 2238-10 268. 00 74.06 194. 87 50.38 9.20 656-9 53.59 11.27 36 2298-05 253. 48 74.13 75.78 3.86 9.90 828-7 48.38 10.84 1784 33 2029-16 236. 10 75.18 182. 86 46.14 9.83 662-6 57.82 10.38 24 1456-25 177. 78 38.63 52.21 2.66 7.08 435-8 44.81 7.09 1785 30 1887-50 213.25 61.31 137. 32 42.63 8.22 517-6 49.80 9.40 30 1904-79 211.57 53.77 80.70 3.07 9.67 626-9 51.37 8.79 1786 35 2227-99 202. 09 69.57 182. 90 48.93 9.90 497-9 48.74 8.48 33 2139-04 234. 65 60.62 86.66 4.00 10.08 599-1 54.57 9.61 1787 30 1923-01 158. 49 64.84 170.49 42.38 9.09 604-6 46.17 6.93 38 2508-09 223. 59 73.89 91.99 4.95 11.18 910-0 57.20 12.34 1788 34 2184-33 182. 70 62.77 174.01 47.46 9.93 662-3 39.22 8.05 26 1664-55 206. 69 47.32 63.69 3.37 7.73 595-4 44.81 7.37 1789 24 1504-51 145.21 46.47 133. 60 33.80 7.17 559-7 29.86 6.15 38 2392-35 245. 43 75.78 88.47 4.31 11.47 768-9 52.91 11.80 1790 33 2188-54 242. 12 65.21 171.43 46.07 9.00 591-6 45.01 10.52 29 1915-70 234. 83 59.01 46.57 3.18 8.41 666-2 41.35 7.51 1791 35 2339-90 288. 86 65.27 206. 48 48.42 10.11 780-0 43.47 11.66 33 2233-35 213. 40 67.66 61.39 3.41 10.59 694-3 43.38 10.47 1792 27 1722-97 165. 05 50.18 140. 22 36. 99 7.52 4793 31.26 7.74 28 1836-09 189. 42 55.60 53.85 2.83 7.59 544-4 39.12 8.24 1793 30 1930-18 201. 19 60.96 166.22 42. 68 9.05 644-6 43.41 9.21 33 2048-36 195. 87 63.33 74.36 3.63 9.27 560-6 53.22 11.62 1794 31 2057-68 223. 39 70.38 170.97 43.54 9.57 664-8 61.39 9.33 37 2409-35 199.15 73.90 88.23 4.20 10.73 772-4 55.90 12.09 1795 32 2160-11 227. 42 68.26 164. 05 45. 47 9.13 688-3 52.14 9.61 31 1988-59 199. 02 59.65 44.30 3.34 9.42 674-0 48.03 9.94 1796 24 1432-76 154. 48 37.50 134. 13 33. 18 6.81 433-4 20. 42 7.46 42 2566-60 305. 31 80. 95 104. 80 4.44 12.00 876-9 61.88 12.28 1797 22 135963 142. 58 41.16 116.49 31.67 6.30 473-1 28.40 6.57 25 1486-46 212. 32 42.39 83.91 2.95 7.36 516-3 43.95 6.55 1798 24 1538-39 1-24. 35 48.59 123. 00 33.65 6.94 632-8 33.98 5.61 39 2339-31 320. 72 81.53 85.75 4.39 11.76 807-2 50. 02 10.23 1799 31 1859-04 260. 43 61.26 169. 14 43.20 8.58 618-5 42.47 10.43 28 1712-52 213.43 52.79 63.61 2.91 8.52 743-1 44.94 8.35 1800 31 1968-74 242. 67 60.67 178. 59 43.38 9.25 695-9 47.17 9.81 40 2467-21 257. 71 86.57 83.30 3.96 11.71 880-6 51.5-7 12.87 1S01 37 2325-74 294. 98 75.06 192. 33 51.09 10.06 825-4 56. 01 11.89 41 2475-58 232. 86 83.80 99.82 3.7-2 12.46 709-5 54.94 13.84 1802 34 2048-43 298. 54 70.70 170. 55 48.65 9.52 642-0 54.70 12.46 45 2619-62 329. 10 85.99 130. 81 5.55 13.24 876-3 73.10 13.31 1803 32 1950-69 224. 45 71.08 173.25 44.70 9.55 738-1 54.77 10.16 52 3192-47 310. 10 104. 87 115.00 5.67 15.34 1197-4 73.02 16.90 180-4 30 1861-70 201. 50 66.03 158. 86 42.58 8.47 659-4 51.68 9.09 22 1339-80 116.62 37.72 54. 62 2.38 6.13 553-8 38.78 8. 00 1805 23 1452-44 159.00 53. 15 131. 27 32.69 6. 19 541-3 44.48 6.29 40 2321-26 301.3-2 77.38 126. 95 3.77 12.12 774-7 55.79 11. 19 Subtract for fiK'h Observa- 60-00 0.76 30 20-8 e * 1.42 30 II GO'OO e * 7.02 2.00 4.00 * 0.76 30 20-8 1.42 \v 30 7.02 2. 00 4.00 tion. GREENWICH LUNAR REDUCTICNS. 3[B] [352] REDUCTION OF GREENWICH LUNAR OBSERVATIONS. ANNUAL GROUPS FOR LARGEST VALUES OF ANNUAL GROUPS FOR SMALLEST VALUES OF VARIATION, VARIATION, (including only those observations in which the Variation is greater than I 8 . 20 % ). (including only those observations in which the Variation is less than 0*. 30'). U < 83 Sum of Annual Equation. 88 il *l Sum of Change for 08'1 in Argument. Number of Observations. Sum of Excess of Observed Longitude. Sum of Elliptic Inequality. Sum of Change for Os-1 in Argument. **f K~a III 89 & Sum of Variation. Sum of Change for 0?'l in Argument. Sum of Annual Equation. Sum of Evection. ..t! &z I&I 05 i< 3.s 1806 32 a 2003-94 217.49 679-3 a x 37.95 X \\ 9.92 40 2392-56 265.41 f > 4.17 %\ 12.30 929-1 e v 58.68 12.34 59.05 170. 66 45.25 9.37 78.72 111.80 1807 26 1509-29 183. 79 44.81 127. 43 36.70 8.22 571-1 27.62 7.49 31 1824-81 239. 49 69.07 68. 14 3.42 10.21 604-5 35.50 8.04 1808 37 2258-65 294. 74 74.91 206. 13 52.15 10.14 772-5 57.38 12.14 31 1927-31 242. 40 67.31 60.97 3.03 9.10 676-4 39.63 8.79 1809 24 1540-27 197. 62 48.60 126. 30 33.86 6.95 482-1 33.87 8.24 28 1802-24 176. 88 63.20 50. 02 2.47 8.04 591-5 30.33 8.66 1810 24 1481-59 180. 32 53.59 141. 03 33.78 6.73 485-3 41.93 7.25 38 2385-27 241. 93 80.12 86.78 3.52 10.73 889-4 51.91 12. 01 1811 31 1832-85 243. 01 64.75 166. 97 43.11 8.30 607-8 51.47 10.35 28 1657-57 178.32 56.77 66.68 3.29 8.58 557-8 41.00 9.24 1812 22 1393-61 166. 49 43. 12 129. 58 31.26 5.98 494-4 31.18 7.07 37 2217-75 235. 85 72. 60 77.78 3.80 10.24 742-1 54.75 11.30 1813 19 1236-46 111.12 41.25 111.61 26. 17 5.60 439-1 28.69 4.73 40 2396-40 311.76 78.74 83.49 4.41 11.13 757-7 59.41 10.30 1814 22 1446-50 116.28 46.23 144. 47 31.12 6.72 574-5 31.17 5.52 29 1662-61 206. 04 57.35 46.09 2.98 8.46 573-7 37.82 8.16 1815 19 1083-85 123. 49 31.40 129. 50 26. 88 5.00 398-5 18.10 5.38 27 1461-62 216.66 53.41 40.38 2. 58 7.44 599-9 40.91 7.09 1816 18 1080-42 152. 47 37.96 111.09 26. 09 5.67 335-8 26.67 6. 22 22 1268-45 148. 12 44.64 46.88 1.78 5.95 531-6 29.83 6.63 1817 20 1198-00 147. 61 38.17 123.67 27. 81 6.15 436-8 23.60 6.01 29 1689-04 212. 37 66. 02 57.78 2. 80 8.08 650-1 28.96 7.92 1818 19 1151-52 173. 73 34.26 120. 12 26. 80 5.39 519-9 21.14 6.78 27 1581-20 149. 42 56.62 42.81 3.04 7.71 519-8 30.79 9. 14 1819 20 1112-59 138. 79 45.13 113.88 28. 27 5.68 359-8 32.89 5.47 30 1677-88 175. 23 60.60 60.19 3.37 8.69 642-1 39.41 10.19 1820^ 34 2038-36 231. 78 69.53 220. 66 47.55 9.58 682-0 54.54 9.99 30 1653-51 166.39 57. 62 57.68 3.21 8.25 5G5-0 45. 32 10.32 1821 23 1416-04 143. 80 50.42 145. 56 32.64 6.79 552-8 38.15 6.67 34 1988-52 223. 43 63.13 60.78 3.46 10. 3S 638-8 52. 77 10.05 182-2 28 1714-70 208. 10 59.38 175. 60 39.62 7.82 588-7 40.90 8.94 34 1996-55 269. 74 70.55 78.96 3.79 8.74 641-3 47.22 8.88 1823 23 1428-78 137. 52 45.89 152.31 32.23 6.75 467-0 28.50 6.35 34 1923-39 243. 81 64.48 49.92 3.88 9. 38 748-4 54.58 10.61 1824 24 1434-13 137.' 42 42. 62 160. 37 33.87 6.80 576-3 25.81 6.37 35 1984-69 251.56 70.93 63.28 3.46 10.61 754-0 45.73 10.31 1825 26 1519-80 183. 11 40.69 141.06 35.81 8.32 706-8 26.29 7.81 25 1383-61 238. 15 43.10 34.47 2.75 7.35 725-6 44.12 5.74 1820 18 1157-26 174. 11 37.45 98.47 25.20 5.58 398-4 25.90 6.68 39 2320-58 249. 43 83.49 76.06 4.49 10.96 751-0 43.36 12.74 1827 26 1575-97 195. 10 59.80 154.18 35.65 8.21 435-4 48.74 8.57 33 1867-43 203. 44 69.46 53.41 3.24 11.07 650-1 44.40 10.77 1828 28 1715-10 214.29 56.78 152. 66 38.24 9. 12 627-2 39.84 9.03 36 2028-80 187. 59 75.83 74.17 3.82 10.53 810-1 41.33 13.31 1829 20 1255-13 127. 78 46. 63 129. 45 27.44 6.30 394-1 36.49 5.33 25 1389-20 130. 78 46.98 36. 78 1.74 7.90 501-0 38.29 8.44 1830 15 934-40 II 60-00 110.26 30. 97 92.76 21. 56 4.49 303-9 22. 30 4.83 35 2033-07 2G3. 26 63.64 53. 90 3. 80 10. 12 602-3 56. 82 10.07 Subtract for each Observa- tion. it > 7.02 \ \x 2. 00 \ V\ 4.00 g 0.76 n 30 \ 20-8 e " 1.42 30 // 60-00 8 ' 0.70 30 20-8 * * 1.42 30 g * 7.02 2.00 4.00 INDEX. VOLUME I. Advertisement. Addition to the Introduction. ** INTRODUCTION i SECTION 1. Investigation of Moon's R.A i Reference to Original Observations, and Translation of Symbols i Reference of Transits to Middle Wire or to Mean of Wires ii Corrections for Intervals of Wires iii Authorities for the Adopted Intervals . iv Intervals of Wires of Mural Circle, and Authorities v Method of Completing Imperfect Transits of Stars v Method of Completing Imperfect Transits of the Moon vi Table I. of " Log. Second Number" vii Table II. of " Rough Parallax" ix Computation of Third Factor x Computation of Parallax from Semidiameter, for checking La Caille's Parallaxes xi Instrumental Errors, and Dymond's Personal Equation xii & xiii Bayley's Personal Equation xiv Hitchens', Kinnebrook's, and Simms' Personal Equations xvi Selection of Clock Stars, and Formation of their Tabular R.A xvii Formation of Clock Error and Clock Rate : Formation of R.A. of Moon's Limb xix Transits with the Mural Circle xix SECTION II. Investigation of Moon's N. P. D xx General Remarks on Quadrant and Circle Observations xx Thermometers, Barometer, Refraction, Parallax xxi Table of Small Correction to Parallax xxii Observations with the Old Iron Quadrant : Index Corrections xxiii Observations with the Brass Quadrant to the beginning of Pond's Time xxv Olufsen's Corrections xxv Observations with Troughton's Mural Circle alone ' xxv Observations with the Brass Quadrant during the Interruption of Circle Observations .... xxvi Observations with the Two Mural Circles when combined for the Determination of Zenith Points xxvi Correction for Time before or after Passing the Center xxvii Conversion of Small Errors of Longitude and E. N. P. D. into Errors of R. A. and N. P. D. . - xxviii Correction for Curvature of Path . . xxviii Correction for Change of N. P. D. during the Passage of Semidiameter xxix Correction for Imperfect Illumination xxix Investigation of Correction of Moon's Provisional Semidiameter, supposing Observations of Two Limbs taken nearly at the same time xxxi GREENWICH LUNAR REDUCTIONS. INDEX. INTRODUCTION continued. p iaK Investigation of Correction of Moon's Provisional Semidiameter and of Interval of Observations of the Two Limbs ............................. xxxiv Examination of the Obsei-vations in every instance of Observation of the Two Limbs ..... xxxvii Determination of Moon s Vertical Semidiameter for Quadrant Observations ......... Ixi Adoption of Semidiameter for Circle Observations .................. . Ixii Tabular Obliquity of Ecliptic ........................... Ixii SECTION III. Comparison of Moon's Observed and Tabular Place ............ Ixiii Investigation of Moon's Semidiameter in R. A ..................... Ixiv Formation of R. A. of Moon's Center ........................ Ixvi Computation of Longitude and E. N. P. D. from R. A. and N. P. D ............ Ixvi Computation of Mean Solar Time; and Auxiliary Tables .......... ...... Ixvii Modifications of Damoiseau s Tables of Epochs .................... Ixxi Alterations of Damoiseau's Negative Constants .................... Ixxii Formula for the Tables actually used ........................ Ixxiv Corrections to Plana's Theorie de la Lune ...................... Ixxx Correct ion for an Error which has affected all tlie Calculations ......... ..... Ixxxi DetailedExplaiMtionoftheTabularArranyementofSect.nl. ............. Ixxxiii SECTION IV. Comparison of Observed and Tabular R. A. when there is no satisfactory Observation of N. P. D ............................ Ixxxiv SECTION V. Annual Groups of Results for Comparison of Moon's Observed and Tabular Place . Ixxxv Quantities whose Magnitudes liave guided the Formation of the Groups .......... Ixxxv Method of Forming the Groups, and Methods proper for Deducing from them Corrections of Elements ................................. Ixxxvi SUPPLEMENTARY TABLES, ERRATA, AND SKELETON FORMS ............ xci Table 38 .................................... xciii Table 41 .................................... xciv Table 42 .................................... xcvi Table 43 .................................... xcviii Table 44 .................................... c Table 45 .................................... cii Table 46 .................................... civ Table 47 .................................... cvi Table 48 .................................... cviii Table 49 .................................... ex Table 50 .................................... cxii Table 51 .................................... cxiv ' Table 52 .................................... cxvi Table 53 .................................... cxviii Table 54 .................................... cxx Table S (1) ................................... cxxii TableS (2) ................................... cxxiv Table 55 ........................... , ........ cxxvi TableS (4) .............. ..................... cxxviii TableS (3) ................................... cxxx Table 90 .................................... cxxxi ................................... cxxxi Table 72 .............................. . ...... cxxxiv Table 73 ..... cxxxvi INDEX. INTRODUCTION continued. Table 74 cxxxviii TableS (6) cxl Table S(1) c*i" Table S(S) cxliv Table 65 cxlvi Tables for Converting small Changes of Longitude and E. N. P. D. into Changes of R. A. and N.P.D cli SKELETON FORMS, Nos. 1 to 12 and 16 to 18. ERRATA in the Greenwich Observations Transits clxxxix t , , , Transits with the Mural Circle ccii , , , , Quadrant Observations cciii , , , , Circle Observations ccvi , , in Damoiseau's Tables of the Moon ccx i , , in the Planetary Reductions ccxn , , in the Lunar Reductions ccxiv SECTION I. Investigation of Moon's Rigbt Ascension 1 to 488 ADDITION TO SECTION I. Comparison of Mural Circle with Transit 490 to 495 v VOLUME II. SECTION II. Investigation of Moon's North Polar Distance (l)to(446) Observations omitted on Account of Discordance, or by Accident (447) SECTION III. Comparison of Moon's Observed and Tabular Place [1] to [293] SECTION IV. Comparison of Moon's Observed and Tabular Right Ascension on those Days on which there is no satisfactory Observation of North Polar Distance .... [295] to [318] SECTION V. Annual Groups of Results of Comparison of Moon's Observed and Tabular Place [319] to [346] Supplementary Groups for Parallactic Equation and Variation [347]to[352] LONDON: PALMER & CLAYTON, Printers, 10, Crane Court, Fleet Street. -.: , THE UNIVERSITY OF CALIFORNIA LIBRARY