JVo. Division Range Shelf Received tff 187 University of California. OIF"P OF 1 187/. WASHINGTON OBSERVATIONS FOR 1872. APPENDIX I. TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS FOR THE REDUCTION OF TRANSIT OBSERVATIONS MADE AT THE U. S. NAVAL OBSERVATORY. PREPARED BY PROFESSOR JOHN R. EASTMAN, U. S. N. WASHINGTON: GOVERNMENT PRINTING OFFICE. 1873. \u TABLE OF CONTENTS. SPECIAL TABLES FOR DETERMINING THE AZIMUTH CONSTANT. Page. Explanation of Tables , Tables of Azimuth Corrections and Constants g Tables of Azimuth Corrections and Constants, S. P 10 Tables of Level Corrections and Constants I2 Tables of Level Corrections and Constants, S. P ' 14 Tables of Collimation Corrections and Constants 16 GENERAL TABLES OF INSTRUMENTAL CORRECTIONS. Explanation of Tables 21 Tables of Azimuth Corrections 24 Tables of Level Corrections 36 Tables of Collimation Corrections 48 TABLES FOR DETERMINING THE AZIMUTH CONSTANT, FROM OBSERVATIONS OF , 6, AND A URS^: MINORIS AND 51 CEPHEI, UNITED STATES NAVAL OBSERVATORY. EXPLANATION. In. the following tables the first column on each page contains the Constant from o".oi to o".5o, inclusive. The remaining columns contain the Corrections. The argument is the declination of the star, and is found at the top of each column of the Corrections. The correction for azimuth is denoted by Aa. The correction for level is denoted by Bb. The correction for collimation is denoted by Cc. For the methods of determining the values of the factors A, J3, and C, and the constants a, I, and c, see " Introduction to the Observations with the Transit Circle, 1870." MBit Alii UNIVERSITY* OF \- TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, Aa. c Argument : Declination of Star. hwel ^^^Vs"' 1 the Constant c o O Declination of Star. 86 35 36' 37' 38' 39' 879' 10' ii' 12' 13' 14' 15' 88 36 37' 38' 39' 40' 41' 42' 43' 44' 45' 46' s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. O.OI O.I2 O.I2 o.i; 0.13 0.13 0.15 0.15 0.15 o.i; 0.15 o.i; 0.16 0.31 0.32 0.32 0.32 0.33 0.32 0.34 0-34 o-35 0-35 0.36 .02 O.25 O.25 O.2J 0.2 = 0.25 o.sc 0.30' o.3c 0.31 0.31 0.31 0.31 0.62 0.63 O . Oii 0.65 0.66 o. 6C 0.6 0.68 0.69; o.7c 0.71 03 0-37 0.37 0.36 0.38 0.38 0.45 0.45 0.46 0.4^ 0.46 0.4^ 0.47 0.94 0.95 o.gfi 0.97 0.98 I.OC I.O i. 02 1.04 1.05 1.07 .04 0.50 o.sc o.sc o.sc 0.51 o.6c o.6c 0.61 0.61 0.62 0.62 0.62 1.25 1.26 1.28 1.30 I-3I 1-33 1-3 1.36 1.38 I.4C 1.42 05 0.62 0.62 0.6; 0.63 0.63 0.75 0.7^ 0.76 0.76 0.77 0.78 0.78 1.56 1.58 i.6c 1.62 1.64 I.6C i. 68 1.71 i-73 1-75 1.78 0.06 0.74 0.75 0.75 ! 0.76 0.76 o.gc 1 0-91 0.91 0.92 O.g2 0.93 0-93 1.87 1.90 1.92 1-94 1-97 1-99 2. 02 2.05 2.07 2. 1C 2.13 .07 0.87 0.8; o.8S 0.88 0.89 1.05 I. of i. 06 i.o; i. 08 i. 08 i. 09 2.18 2.21 2.24 2.27 2.30 2-33 2.36 2-39 2.42] 2.45 2-49 .08 O.99 I.OC I.OC I.Ol I.OI I.2C I. 21 1.22 1.22 1.23 1.24 1.25 2.50 2.53 2.56 2.59 2.62 2.6 2.6g 2.73 2.77 2.8c 2.84 .09 I. 12 1. 12 1.13 1-13 1.14 1-35 1. 3 1-37 1.38 1-39 1-39 1.40 2.81 2.84 2.88 2.92 2-95 2-99 3-03 3-07 3-iJ 3.15 3-io .10 1.2. 1.25 1.25 l.2t 1.27 1.50 I-5I 1.52 1-53 1-54 1-55 1.56 3.12 3.16 3.20 3-24 3.28 3-32 3-3 3-4' 3.46 3-5C 3-55 O.II 1.36 1-37 .38 1-39 1-39 1.65 1.66 1.67 1.68 1.69 i.7c 1.71 3-43 3.48 3-52 3.56 3.6i 3.66 3-70 3-75 3-80 3-85 3-91 . 12 1-49 1.50 5C 1.51 1.52 1. 80 1.81 1.82 1.84 1.85 i.se 1.87 3-75 3-79 3-84 3.8g 3-94 3-99 4.04 4-og 4-15 4.2C 4.26 -13 1.61 1.62 63 1.64 1.65 i-95 1.96 1.98 1-99 2.OU 2.OI 2.03 4.06 4. ii 4.16 4.21 4.27 4-32 4.38 4-44 4-49 4- 5 1 4.62 .14 1-74 1-75 76 1.76 1.77 2.10 2. ll| 2.13 2.14 2.16 2.17 2.18 4-37 4.42 4-48 4-54 4-59 4,65 4-7 4-78 4.84 4.9 4-97 -15 1.86 1.87 .88 i.8g I. go 2.25 2.26 2.28 2.30 2.31 2.32 2-34 4.68 4-74 4.8c 4.86 4.92 4-99 5.05 5.12 5-19 5-26 5-33 0.16 l.gS 2.OO 2.O1 2. 02 2.03 2.40 2.42 2.43 2.45 2.46 2.48 2.49 4-99 5.06 5-12 5.18 5-25 5-32 5-39 5-46 5-53 5-61 5-68 17 2. II 2.12 2.1; 2.14 2-15 2.55 2.57 2.58 2.60 2.62 2.63 2.65 5-3' 5-37 5-44 5-51 5-58 5-65 5-72 5.8o 5-88 5.96 6.04 2.23 2.24 2.26 2.27 2.28 2.70 2.72 2.74 2.75 2.77 2-79 2.80 5.62 5-6g 5-76 5.83 5-91 5-98 6.O6 6.14 6.22 6.31 6.39 .19 2. 3 6 2.37 2.38 2.39 2.41 2.85 2.87 2.89 2.91 2.92 2-94 2.96 5-93 6.00 6.08 6.16 6.23 6.32 6.40 6.48 6-57 6.66 6-75 .20 2. 4 8 2.49 2.51 2.52 2.53 3.00 3.02 3-04 3.06 3.08 3.10 3-12 6.24 6.32 6.40 6.48 6.56 6.65 6.73 6.82 6.91 7.01 7.10 0.21 2.60 2.62 2.63 2.65 2.66 3-15 3-17 3-iQ 3-21 3-23 3.25 3-27 6.56 6.64 6.72 6.80 6.89 6.98 7-07 7.17 7.26 7.36 7.46 .22 2.73 2.74 2.76 2-77 2.79 3-3 3.32 3-34 3-37 3-39 3-41 3-43 6.87 6-95 7.04 7-13 7.22 7-31 7.41 7-51 7.61 7-71 7.81 23 2.85 2.87 2.88 2. go 2.91 3-45 3-47 3-50 3-52 3-54 3-56 3.58 7.18 7.27 7.36 7-45 7-55 7.- 64 7-74 7-85 7-95 8.06 8.! 7 24 2.g8 2-99 3-01 3.02 3-04 3.60 3.62 3.65 3-67 3-69 3-72 3-74 7-49 7.58 7.68 7.78 7.87 7-98 8.08 8.19 8.30 8.41 8.52 -25 3.10 3.12 3-13 3-15 3.17 3-75 3-78 3-8o 3-82 3.85 3.87 3.90 7.80 7.90 8.00 8.10 8.20 8.31 8.42 8-53 8.64 8.76 8.88 O.26 3-22 3.24 3-26 3.28 3-29 3-90 3-93 3-95 3.98 4.00 4.02 4-5 8.12 8.22 8.32 8.42 8.53 8.64 8-75 8.87 8-99 9. ii 9-24 -27 3-35 3-37 3-39 3-40 3-42 4.05 4.08 4.10 4-13 4.16 4.18 4.21 8.43 8.53 8.64 8-75 8.86 8-97 g.og 9.21 9-33 9-46 9-59 .28 3-47 3-49 3-51 3-53 3-55 4.20 4-23 4.26 4.28 4.31 4.33 4-36 8.74 8.85 8.96 9.07 9-19 9-31 9-43 9-55 9.68 g.8i 9-95 .29 3.60 3-62 3-64 3.65 3-67 4-35 4.38 4.41 4-44 4.46 4-49 4-52 9-05 9.16 9.28 9.40 9.51 9.64 9.76 9.89 10.03 10.16 10.30 -30 3.72 3-74 3-76 3-78 3 80 4.50 4-53 4-56 4-59 4.62 4-64 4.67 9-36 9-48 9.60 9-72 9-84 9-97 IO.IO IO.2. 10.37 10.51 10.66 0.31 3-84 3.87 3-89 3-9 1 3-93 4-65 4.68 4-71 4-74 4-77 4.80 4.83 9.68 9.80 9-92 10.04 10.17 10.30 10.44 10.58 10.72 10.86 II. 01 .32 3-97 3.99 4.01 4-03 4-05 4.80 4.83 4.86 4.90 4-93 4-95 4-99 9-99 10. II 10.24 10.37 10.50 10.64 10.77 10.92 II.O6JII.2I n. 37 -33 4.09 4.12 4.14 4.16 4.18 4-95 4.98 5.02 5.05 5.08 5- n 5.14 10.30 10.43 10.56 10.69 10.83 10.97 ii. ii 11.26 11.41 11.56 11.72 -34 4.22 4.24 4.26 4.28 4.31 5-10 5-13 5-17 5-20 5-23 5.26 5-30 10.61 10.74 10.88 11.02 11.1611.30 11.45 11.60 II-75 n. 91 12.08 35 4-34 4-39 4.41 4-43 5-25 5.28 5-32 5.36 5-39 5-42 5-45 10.93 1 1. 06 II. 20 "34 11.48 11.63 11.78 11.94 12. IO 12.26 12.43 0.36 4.46 4-49 4-51 4-54 4.56 5-40 5-44 5-47 5-51 5-54 5-57 5.6i 11.24 11.38 11.52 11.66 11.81 "97 12.12 12.28 12.45 12. 6l 12.79 37 4-59 4.61 4-64 4.66 4.69 5-55 5-59 5-62 5.66 5-70 5-73 5.76 11-55 11.69 11.84 n. gg 12.14 12.30 I2. 4 6 12.62 12.79 12.96 13.14 -38. 4.71 4-74 4.76 4-79 4.81 5-70 5-74 5.78 5-8i 5.85 5-88 5-92 11.86 12. OI 12. 16 12.31 12.47 12.63 12.79 2-97 13-14 13.32 13-50 39 4.84! 4.86 4.8g 4.91 4.94 5.85 5-89 5-93 5-97 6.00 6.04 6.08 12. 18 12.32 12.48 12.64 12.8012.96 3-13 3-3i 13.48 13-67 3-85 .40 4.96 4-99 5.02 5-04 5.07 6.00 6.04 6.08 6.12 6.16 6.19 6.23 12.49 [2.64 12.80 12.96 13.12 13-30 13.47 3-65 13-83 14.02 14.21 0.41 5.08 5." 5.14 5-17 5.19 6.15 6.19 6.23 6.27 6.31 6.35 6.39 12.80 [2.g6 [3.12 13-28 13-45 [3-63 13.80 3-99 14.17 14-37 4.56 .42 5-21 5-24 5.27 5.29 5-32 6.30 6.34 6.38 6.43 6.47 6.50 6-54 13." 3-27 [3.44I3.61JI3.78 13-96 14.14 4-33 [4-52 14.72 4-92 -43 5-33 5.36 5-39 5-42 5-45 6.45 6-49 6-54 6.58 6.62 6.66 6.70 13.42,13.59 [3.7613.93114.11 14.30 14.48 4.67 4.8715.07 5-27 -44 5.46 5-49 5-52 5-54 5-57 6.60 6.64 6.69 6.73 6.77 6.81 6.86 13. 74 13. go [4.08 14.26114.44 14.63 I4.8I 5-oi 5-21 15-42 5.63 45 5.58 5.61 5.64 5.67 5-70 6-75 6.80 6.84 6.88 6-93 6.97 7.01 14-05 14.22 [4.40 14-58 14-76 [4.96 15.15 5-35 5.56 15-77 5.98 0.46 5-70 5-74 5-77 5.80 5.83 6.90 6.95 6-99 7.04 7.08 7.12 7-17 14-36 [4.54 14-72 [4.90 [5.09 15-29 '5-49 5-70 5.90 16.12 6-34 47 5.83 5-86 5.89 5-92 5-95 7-05 7.10 7-14 7.19 7.24 7.28 7-32 14.67 [4.85 15-04 [5-23 [5.42:15.62 15.82 6.04 6.25 16.47 i6.6g .48 5-95 5-99 6. 02 6.05 6.08 7.20 7-25 7.30 7-34 7-39 7-43 7.48 14. g8 [5.1715.36 t5-55 [5.7515.96 16.16 6.38 6.59 16.82 17-05 49 6.08 6. ii 6.14 6.17 6.21 7-35 7.40 7-45 7-50 7-54 7-59 7.63 15-30 15.48 15.68 15.88 16. 08 l6.2g 16.50 6.72 6.94 17.17 17.40 .50 6. 20 6.24 6.27 6.30 6.33 7.50 7-55 7-6o 7.64 7-69 7-74 7-79 15.61 5.80 16.00 16.20 16.41 16.62 16.83 7.06 7.29 17.52 17.76 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUE OF THE AZIMUTH CORRECTION, Aa. c a y) P. ,. .. f c. The Correction and the Constant Argument: Decimation of Stai. have opposite signs> C O u Declination of Star. 88" 47 48' 49' 50' 5l' 52' 53' 54' 55' 56' 57' 58' 59' 89 o' i' 2' 3' 4' 5' 6' 7' 8' 9' s. s. s. s. s. s. s. s. s. s. s. s. S. s. s. s. s. s. S. s. s. s. s. s. 0.01 0.36 0.37 0-37 0.38 0.38 -39 0-39 0.40 0.41 0.41 0.42 0.43 0-43 0.44 0-45 0-45 0.46 0.47 0.48 0.49 0.50 0.51 0.52 .02 0.72 0.73 0.74 0-75 0.76 0.77 0.79 0.80 0.81 0.82 0.84 0.85 0.86 0.8S o.Sg 0.91 0.93 0.94 0.96 0.98 I.OO 1.02 1.04 .03 i. 08 I. 10 i. ii 1.13 1.14 1. 16 i.iS 1.20 1.22 1-24 1.26 1.28 1-30 1.32 1-34 1.36 1-39 1-41 1-44 1-47 1.50 1.52 1-55 .04 '44 i.4< 1.48 1.50 1-53 1-55 1-57 1. 60 1.62 1.65 1.67 1.70 1-73 1.76 1-79 1.82 1.85 I.8g 1.92 1.96 1-99 2.03 2.07 .05 I. So 1-83 1.85 1.88 1.91 1-94 1.96 2.OO 2.O3 2.06 2.09 2.13 2.16 2.20 2.24 2.2S 2.32 2.36 2.40 2-45 2-49 2-54 2.59 0.06 2.16 2.19 2.22 2.26 2.29 2.32 2.36 2-39 2.43 2.47 2.51 2.55 2.60 2.6.1 2. 68 2-73 2.78 2.83 2.88 2.94 2-99 3-0"; 3- ii .07 2.52 2.56 2-59 2.63 2.67 2.71 2-75 2-79 2.8lj 2.88 2.93 2.98 3-03 3.08 3-13 3. IS 3-24 3-30 3-36 3-42 3-49 3-56 3.63 .08 2.88 2.92 2.96 3-oi 3-05 3-10 3-14 3-19 3-24 3-29 3-35 3-40 3-46 3-52 3.58 3-64 3-70 3-77 3.84 3-91 3-99 4.07 4.15 .09 3-2-! 3.29 3-33 3.38 3-43 3-48 3-54 3-59 3.65 3-7' 3-77 3.83 3-89! 3-96 4.02 4.10 4.17 4-24 4-32 4-40 4-49 4-57 4.66 .10 3-60 3.65 3-71 3.7& 3-8i 3-87 3-93 3-99 4-05 4.12 4. IS 4-25 4-32 4.40 4-47 4-55 4-63 4-71 4.80 4.89 4-99 5.08 5-lS O.II 3-96 4.02 4.08 4.14 4.20 4.26 4-32 4-39 4.46 4-53 4.60 4.68 4.76 4.84 4.92 5.00 5-og 5-19 5-28 5-38 5-48 5-59 5-70 .12 4-32 4.38 4-45 4-51 4.58 4-65 4.72 4-79 4.86 4-94 5.02 5.10 5-19 5-28 5-37 5.46 5.56 5-66 5.76 5-87 5-98 6.:o 6.22 13 4.68 4-75 4.82 4-89 4-96 5-03 5.11 5-19 5-27 5-35 5-44 5-53 5.62 5-71 5-Si 5-92 6.02 6.13 6.24 6.36 6.48 6.61 6.74 -M 5.04 5.11 5-19 5.26 5-34 5-42 5-50 5-59 5-67 5-76 5-86 5-95J 6.05 6.15 6.26 6-37 6.48 6.60 6.72 6.85 6.98 7-12 7.26 15 5-40 5.48 5-56 5-64 5-72 5-81 5-9 5-98 6.08 6.18 6.28 6.38 6.48 6-59 6-71 6.82 6.94 7-07 7.20 7-34 7-48 7.62 7-77 0.16 5.76 5.84 5-93 6. 02 6. 10 6 19 6.29 6.38 6.48 6-59 6.69 6.80 6.92 7-03 7.16 7.28 7.41 7-54 7.68 7-83 7.98 8.13 8.29 .17 6.12 6.21 6.30 6-39 6.48 6.58 6.68 6.78 6.89 7.00 7-II 7-23 7-35 7-47 7.60 7-74 7.87 8.02 8.16 8.32 8-47 8.64 8.81 .18 6.48 6.58 6.67 6.77 6.87 6-97 7.07 7.18 7.30 7.41 7-53 7-65 7-78 7.91 8.05 8.19 8-33 8-49 8.64 8. Si 8-97 9-15 9-33 .19 6.84 6.94 7.04 7.14 7-25 7-35 7-47 7.58 7.70 7.82 7-95 8.08 8.21 8-35 8.50 8.64 8.80 8.96 9.12 9-29 9-47 9.66 9.85 .20 7.20 7-31 7-41 7-52 7-63 7-74 7.86 7-98 8. ii 8.23 8-37 8.50 8.65 8.79 8.94 9.10 9.26 9-43 9.60 9-78 9-97 10.16 10.37 0.21 7.56 7.67 7.78 7.90 8.01 8.13 8.25 8.38 8.51 8.65 8.79 8.93 9.08 9-23 9-39 9-56 9.72 9.90 10.08 10.27 io-47 10.67 10.88 .22 7.92 8.04 8.15 8.27 8-39 8.52 8.65 8.78 8.92 9.06 9.20 9-35 9.51 9.67 9.84 10. OI 10. 19 10.37 10.56 10.76 10.97 11.18 11.40 .23 8.28 8.41 8.52 8.65 8.77 8.90 9.04 9.18 9-32 9-47 9.62 9.78 9-94 IO.1I 10.29 10.46 10.65 10.84 11.04 11.25 H-47 11.69 11.92 24 8.64 8.77 8.89 9.02 9-15 9-29 9-43 9.58 9-73 9.88 10.04 10.20 10.38 10.55 to. 73 10.92 ii. ii 11.32 11.52 n-74 11.96 12.20 12.44 '25 9.00 9-13 9.26 9.40 9-54 9.68 9.82 9.98 10.13 10.29 10.46 IO.&3 10.81 10.99 ii. 18 11.38 11.58 11.79 12. OO 12.23 12.46 12.71 12.96 O.26 9-37 9.50 9.63 9.78 9-92 10.06 IO.22 10.37 10.54 10.70 10.88 1 1 . 06 11.24 H-43 11.63 11.83 12. Oj 12.26 12.41 12.72 12.96 13.21 13-48 27 9-73 9.86 IO.OO 10.15 10.30 10.45 I0.6I 10.77 10.94 II. 12 11.30 It.48 11.67 11.87 12.07 12.28 12.50 12.73 12.97 13.21 13-46 13.72 13.99 .25 10.09 10.23 10.37 10.53 10.68 10.84 II. OO 11.17 H.35 II-53 11.72 ii. 91 12. IO 12.31 12.52 12.74 I2.g6 13.20 13-45 13.70 13.96 14.23 14-51 .29 10.45 10.59 10.74 10.90 ii. 06 11.23 II.4O 11-57 H.75 11.94 12. 13 12-33 12.54 12.75 12.97 13.20 13-43 13-67 r 3-93 14.19 14.46 14-74 15-03 30 10. Si 10.96 II. 12 11.28 H-44 ii .61 11.79 11.97 12. 16 12.35 12.55 12.76 12.97 13-19 13-42 13.65 13.89 14.14 14.41 14.68 14. g6 15.2; 15-55 0.31 11.17 11.32 11.49 11.66 11.82 12.00 12. 18 12.37 12.56 12.76 12.97 13.18 13.40 13-63 13.86 14.10 14-35 14.62 14.89 15-17 15-45 15.75 16.07 32 11-53 11.69 11.86 12.03 12.20 12.39 12.58 12.77 12.97 I3-17 13-39 13.61 13-83 14.07 14 3i 14.56 14.82 15.09 "5-37 15-65 15.95 l6.2( 16.59 33 11.89 12.05 12.23 12.41 12-59 12.77 12.97 13-17 13.38 13-59 I3.8I 14-03 14.27 I4.5I 14-76 15.02 15.28 IS-S'' '5-85 16.14 16.45 16.77 17.10 34 12.25 12.42 12.60 12.78 12.97 I3.I6 13.36 13-57 '3.78 14.00 14.23 14.46 14.70 14.95 15.20 15-47 15-74 16.03 16.31 16.63 16.95 17. 2i 17.62 35 12.61 12.79 12.97 13.16 13-35 13-55 IS-? 6 '3-97 14.19 14-4' 14.64 14.88 15.13 15.39 15-65 15-92 16.20 16.50 16.81 17.12 17-45 17. 7c 18.14 0.36 12.97 13.15 13-34 13-54 13-73 13.94 14-15 14.36 M-59 14.82 I5.O6 15-3' 15-56 15.83 i6.;o 16.3? 16.67 16.97 17.29 17.61 17-95 18.30 18.66 37 13-33 13-52 '3-71 13-91 14.11 M.32 14-54 14.76 15.00 15-23 15.48 15-73 16.00 16.27 i6.55 16.84 17.13 17.45 17-77 18.10 18.44 18.80 19.18 .38 13.69 13.88 14.08 14.29 14.49 14.71 t4-93 15.16 I5-40 15.64 15.90 16. 16 16.43 16.70 16.99 17.2917.59 17-92 18.25 18.59 18.94 19-31 19-70 39 M-OS 14-25 14-45 14.66 14-87 15.10 '5-33 15.56 15.81 1 6 . 06 16.32 16.58 16.86 17.14 17-44 17.74 18.06 18.39 18.73 19.08 ig-44 19.82 2O. 21 .40 14.41 14.61 14.82 15-04 15.26 15.48 15.72 15.96 16.21 16.47 16.74 17.01 17-29 17-58 17.89 18.20 18.52 18.86 19.21 19-57 19.94 20.33 20.73 0.4: M-77 14.98 15.19 15-42 15.64 15.87 16.11 16.36 16.62 16.88 I7-15 17-43 17.72 18.02 iS-34 18.66 18.98 19-33 19.69 20.06 20.44 20.84 21.25 .42 15-13 15-34 15.56 15-79 16.02 10.26 16.51 16.76 17.02 17.29 17-57 17.86 18.16 18.46 18.78 19.11 19.45 ig. So 20. 17 20.55 20.94 21-34 21.77 43 15-49 15.71 15-93 16. 17 16.40 16.65 1 6. go 17.16 17-43 17-70 17-99 18.28 18.59 18.90 19.23 9.56 ig.g I 20.27 20.65 21.04 21 -44 21.85 22.29 44 15.85 16.07 16.30 t6.54 16.78 17.03 17.29 17-56 17-83 I8.ii 18.41 18.71 19.02 19-34 ig.68 20.0220.37 20.75 21.13 21.5221.93 22.36 22. 8l 45 16.21 16.44 16.67 16.92 17.16 17.42 17.68 17.96 18.24 18-53 18.83 I9.I3 19-45 I9-/8 20.02 20.48 20.84 21.22 21.61 22. or 22.43 22.87 23.32 0.46 16.57 16.80 17.04 17-30 17-54 I7.8I I8.0S 18.35 18.64 18.94 lg.2<; 19.56 19.89 20.22 20.57 20.93 2 I . 3< 1 21.69 22.09 22.50 22.93 23-38 23.84 47 16.93 17.17 17.41 17-67 17-93 18.19 18.47 18.75 19.05 19-3? 19.66 19.98120.32 2O.66 2 1. O2 21.38 21.7622.1622.57 22.9923.43 23-89 24-36 .48 17.29 17-53 I7-7' S iS.o, 18.31 18.58118.86 19.15 19-45 19.76 20. oS 20.41 20.75 21 . 10 21.47 21. 84 22.22 22.63123.05 23.4823.93 24.39 24.88 49 17.65117.9018.15 18.42 1 8 . 69 18.97119.2619.55 19.86 2O. 1720.5020.83 21. I S 21-54 21. 91 22.3022.6923.10 23.5323.9724.43 24.90 25.40 .50 18. 01 18.26:18.52 18.8019.0; 1 19.36 19.65 19.95 20.27 20.5920.92 21.2621.62 21. gS 22.36 22.75 23.I523.57 24.01 24-4624.93 25-41 25.92 -72 Apr. I 10 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, Aa., S. P. c rt Argument: Declination of Star. as^the Com-ction 35 ''^ Sam6 S ' gn VI c o O Declination of Star. 86 35' 36' 37' 33' 39' 87 9' 10' n' 12' 13' 14' 15' 88 36' 37'- 38' 39' 40' 4!' 42' 43' 44' 45' 46' s. s. s. s. s. s. s. s. s. S. s. s. s. s. s. s. s. s. s. s. s. s. s. s. O.OI 0.14 0.14 0.14 0.14 0.14 0.16 o. 16 0.16 0.17 0.17 0.17 0.17 0.32 0-33 o.33 0-34 0.34 0-34 0.35 0-35 0.36 0.36 0-37 .02 0.27 0.27 0.28 0.28 0.28 0.33 0-33 0-33 0.33 o.33 0.33 0.34 0.65 0.66 0.67 0.67 0.68 o.6g 0.70 0.71 0.72 0.73 0.74 03 0.41 0.41 0.41 0.42 0.42 0-49 0.49 0.49 0.50 0.50 0.50 0.50 0.97 0.99 I.OO I.OI i. 02 1-03 1.05 i. 06 1.07 1.09 I. 10 .04 0.55 0.55 0.55 0-55 0.56 0.65 0.65 0.66 0.66 0.67 0.67 0.67 1.30 I-3I 1.33 1-35 1.36 1-38 1.40 1.41 1-43 1.45 1.47 05 0.68 o.6g 0.69 0.69 0.70 o.Si 0.82 0.82 0.83 0.83 0.84 0.84 1.62 1.64 1.66 1.68 1.70 1.72 1-75 1-77 1.79 1.81 1.84 O.O6 0.82 0.82 0.83 0.83 0.84 0.98 0.98 o.gg O-99 I.OO I.OO I.OI 1.95 1-97 2.OO 2. 02 2.04 2.07 2.10 2.12 2-15 2.18 2.21 .07 o.g6 o.g6 0-97 0.97 0.97 1. 14 1.14 1.15 1.16 1.16 1.17 1.18 2.27 2.30 2.33 2.36 2.38 2.41 2-44 2. 4 8 2.51 2-54 2-57 .08 i.og 1. 10 I. 10 i. ii i. ii 1.30 I-3I 1.32 1.32 1-33 1-34 1-35 2.60 2.63 2.66 2.6g 2.73 2.76 2.79 2.83 2.87 2.90 2-94 .og 1.23 1-24 1.24 1-25 1.25 1.46 1-47 1.48 1.49 1.50 1.51 1-51 2.92 2.96 2-99 3.O3 3-07 3.10 3-14 3.18 3-22 3-27 3-31 .10 1-37 1-37 1.38 i-39 i. 39 1.63 1.64 1.64 1.65 1.66 1.67 1.68 3.25 3-2g 3-32 3-37 3-41 3-45 3-49 3-54 3.58 3-63 3-68 O. II 1.50 i-5i 1.52 1-52 1-53 1.79 i. 80 i. Si 1.82 1.83 1.84 1.85 3-57 3-6i 3-66 3-70 3-75 3-79 3.84 3-8g 3-94 3-99 4.05 . 12 1.64 1.65 1.66 1.66 1.67 1-95 1.96 1.97 1.98 2.OO 2.01 2.02 3-90 3-94 3-99 4-04 4.09 4.14 4.ig 4.24 4.30 4-36 4.41 13 1.78 1.78 1.79 i. 80 i. 81 2.11 2.13 2.14 2. 15 2.16 2. 17 2.1g 4.22 4-27 4-32 4-37 4-42 4.48 4-54 4 .60 4.66 4.72 4-78 .14 i.gi i.g2 i-93 1-94 1.95 2.28 2.29 2.30 2.32 2-33 2-34 2.36 4-55 4.60 4.66 4-71 4-77 4-83 4-89 4-95 5.02 5-o8 5-15 .15 2.05 2.06 2.07 2.08 2.09 2-44 2.45 2-47 2. 4 8 2.50 2.51 2.52 4.87 4-93 4.99 5-05 5-11 5-17 5-24 5-31 5.37 5-44 5-52 o. 16 2.ig 2. 2O 2.21 2.22 2.23 2.60 2.62 2.63 2.65 2.66 2.68 2.6g 5.20 5.26 5.32 5-38 5-45 5-52 5-59 5.66 5-73 5.81 5.88 .17 2.32 2-33 2-35 2.36 2.37 2.76 2.78 2.80 2.8: 2.83 2.84 2.86 5-52 5-59 5.65 5-72 5-79 5-86 5-94 6.01 6.09 6.17 6.25 .18 2.46 2-47 2. 4 8 2.49 2.51 2-93 2.gj 2.96 2.98 3-00 3.01 3.03 5.84 5-9 1 5-99 6.06 6.13 6.21 6.2g 6-37 6.45 6-53 6.62 19 2.60 2.61 2.62 2.63 2.64 3-09 3-H 3-13 3.14 3.16 3.18 3.20 6.17 6.24 6.32 6-39 6.47 6.55 6.63 6.72 6.81 6. go 6-99 .20 2.73 2.75 2.76 2-77 2.78 3.25 3.27 3-29 3.31 3-33 3-34 3-37 6.49 6.57 6.65 6-73 6.81 6. go 6.gS 7.07 7-17 7.26 7-36 O.2I 2.87 2.88 2.gO 2.91 2.g2 3-41 3-43 3-45 3-47 3-49 3-Si 3-53 6.82 6.go| 6.98 7.07 7.15 7.24 7-33 7-43 7-52 7.62 7-72 .22 3-00 3-02 3-04 3-05 3.06 3.58 3.6o 3-62 3-64 3-66 3.68 3.70 7-14 7-23 7-32 7.40 7-50 7-59 7.68 7-78 7.88 7.991 8.09 23 3.14 3.16 3-17 3-19 3-20 3-74 3.76 3-78 3-80 3.83 3.85 3.87 7-47 7.56 7.65 7-74 7.84 7-93 8.03 8.14 8.24 8.35 8.46 .24 3.28 3-30 3-31 3-33 3.34 3.90 3.92 3-95 3-97 3-99 4.02 4-04 7-79 7-89 7.98 8.08 8.18 8.28 8.38 8-49 8.60 8.71 8.83 25 3-41 3-43 3-45 3-46 3.48 4.06 4.09 4.11 4.14 4.16 4.18 4.21 8.12 8.22 8.31 8.41 8.52 8.62 8.73 8.84 8.96 9.08 g.2o O.26 3-55 3-57 3-59 3-6o 3.62 4-23 4.25 4.28 4.30 4-33 4-35 4.38 8 44 8.54 8.65 8-75 8.86 8-97 g.o8 g.2o 9-32 9-44 9.56 27 3-69 3-71 3-73 3-74 3.76 4-39 4.41 4-44 4-47 4-49 4-52 4-54 8.77 8.87 8.98 g.og 9.20 9-31 9-43 9-55 9-67 9.80 9-93 .28 3-82 3-84 3-86 3-88 3.90 4-55 4.58 4.61 4.63 4.66 4.68 4.71 g.og 9.20 9-31 9.42 9-54 9.66 9-78 g.go 10.03 io. 16 10.30 29 3-96 3-98 4.00 4.02 4.04 4.72 4-74 4-77 4.80 4.83 4.85 4.88 9.42 9-53 f).di 9-76 g.88 10. OO 10.13 10.26 10.39 10-53 10.67 30 4.10 4.12 4.14 4.16 4.18 4.88 4.90 4-93 4.96 4-99 5.02 5.05 9-74 9.86 g.gS IO.IO IO.22 10.35 10.48 10.61 io-75 10.89 11.03 0.31 4-23 4.26 4.28 4-30 4.32 5-04 5.07 5-10 5-13 5.16 5-19 5.22 10.07 10. 19 10.31 10.43 10.56 10.69 10.83 10.96 ii. ii 11.25 11.40 .32 4-37 4-39 4-42 4-43 4.45 5-20 5-23 5.26 5-29 5.32 5-35 5-39 10.39 10.52 10.64 10.77 io. go 1I.O- 11.17 11.32 u-47 11.62 II-77 33 4-51 4-53 4-55 4-57 4.59 5.37 5-40 5-43 5.46 5-49 5-52 5-55 10.72 10.84 10.97 II. IO 11.24 11.38 11.52 11.67 U.82 u. gS 12.14 34 4.64 4.67 4-69 4.71 4.73 5.53 5.56 5-59 5.62 5.66 5-69 5-72 II.O.J 11.17 11.31 11-44 11.58 11-73 11.87 12. 0'- 12. 18 12-34 12.51 35 4.78 4.81 4-83 4-85 4.87 5.69 5.72 5.76 5-79 5.82 5.86 5-89 11.36 11.50 11.64 11.78 11.92 12.07 12.22 12.38 12.54 12.70 12.87 0.36 4-92 4-94 4-97 4-99 5-01 5.85 5.89 5-92 5-95 5-99 6. 02 6.06 I1.6g 11.83 "97 12. II 12.27 12.42 12.57 12.73 12. go 13-07 13-24 37 5-05 5.08 5- ii 5-13 5.15 6.02 6.05 6.09 6.12 6.16 6.19 6.23 12.01 12.16)12.30 12.45 12. 6l I2.76|l2.g2 13.09 13.26 13-43 13.61 38 5-lg 5-22 5.24 5-27 5-29 6.18 6.21 6.25 6.2g 6.32 6.36 6.40 12.34 12.49 12.64 12-79 12.95 13.11 13.27 13-44 13.62 13-79 13-98 39' 5-33 5-35 5.38 5-41 5-43 6.34 6.38 6.41 6.45 6-49 6.52 6.56 12.66 12.82 12.97 13-12 13-29 13.45 13.62 13-79 13-97 14.16 14-34 .40 5-47 5-49 5-52 5-54 5-57 6.50 6.54 6. 5 S 6.62 6.66 6.6g 6-73 12. gg 13-14 13-30 13.46 13.63 13.80 13-97 14.15 "4-33 I4-52 14.71 0.41 5-6o 5-63 5-66 5-68 5-71 6.67 6.70 6.74 6.78 6.82 6.86 6. go 13-31 13-47 13.63 13.80 13-97 14.14 14.32 14.50 14.69 14.88 15.08 42 5-74 5-77 5.80 5-82 5-85 6.83 6.87 6.91 6-95 6-99 7-03 7-07 13-64 13.80 13-97 I4-I3 14-31 14.49 14.67^4.86 15.05 15-25 15-45 43 5-87 5.90 5-93 5.96 5-99 6.99 7-03 7:07 7- 'I 7.16 7-19 7.24 13.96 14-13 14.30114.47 14.65 14.83 15.02; 1 5. 2 1 15-41 15.61 15.82 44 6.01 6.04 6.07 6.10 6. 12 7-15 7-19 7.24 7.28 7.32 7.36 7.40 14-29 14.46 14.63 14.81 14-90 15.18 15.36 15.56 15-77 15-97 16. 18 45 6.15 6.18 6.21 6.24 6.26 7-32 7-36 7.40 7-44 7-49 7-53 7-57 14.61 14.79 14.96 15.14 15-33 15.52 15.71 I5.92 16.12 i6.33 16.55 0.46 6.28 6.32 6-35 6.38 6.40 7.48 7-52 7-57 7.61 7.65 7.70 7-74 14.94 15.12 15-30 15.48 15-67 15.87 16.06 16.27 16.48 16.70 16.92 47 6.42 6.45, 6.49 6.51 6.54 7.64 7.68 7-73 7-77 7.82 7.86 7.9i 15.26 15-44 15-63 15 82 16.01 16.21 16.41 16.62 16.84 17.06 17-29 .48 6.56 6.59 6.62 6.65 6.68 7.80 7-85 7.90 7-94 7-99 8.03 8.08 15-59 15-77 15-96 16.15 16.35 16.56 16.76 16.98 17.20 17-42 17-65 49 6.69 6.73 6.76 6.7g 6.82 7-97 8.01 8.06 8.10 8.15 8.20 8.25 15.91 i6.loii6.2g 16.49 1 6 . 6g 1 6 . go 17.11 17.33 17-5617.7918-02 50 6.83 6.86 6.90 6-93 6.96 8.13 8.18 8.22 8.27 8.32 8.36 8.41 16.24 16.43 16.63 16.83 17-03 17-25 17.46 17.68 17-91 18.15,18.39 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. II VALUES OF THE AZIMUTH CORRECTION, /la:, S. P. Argument : Declination of Star. J %&" ** ""* "*" fl a tn C Declination of Star. O O 88 47 48' 49' 5o' 5l' 52' 53' 54' 55' 56' 57' 58' 59' 89 o' i' 2' 3' 4' 5' 6' 7' 8' 9' s. s. s. s. s. s. s. s. s. s. s. s. s. s. S. s. s. s. s. s. s. s. s. s. 0.01 0-37 0.38 0.38 0.39 0-3? 0.40 0.41 0.41 0.42 0.42 0.43 0.44 0-44 o.4S 0.46 0.4 0.48 0.48 -49 0.50 0.5 0.52 0.53 .02 0.74 0.76 0.77 0.78 0.79 o.8c 0.81 0.82 0.84 0.85 0.86 0.88 0.89 o.gc 0.92 0-94 0.95 0-9/ 0.99 I.OC I.O 1.04 1. 06 03 I. 12 1. 1; 1. 15 1.17 1.18 I.2C 1.22 1.23 1.25 1.27 1.29 i-3i 1-33 1.36 1.38 1.40 1-43 1.45 1.48 1.51 t. 5 i.5< 1-59 .04 1-49 1-51 1-53 1-55 1.58 I.6c 1.62 1.65 1.67 i.7g 1.72 1-75 1.78 1.81 1.84 1.87 1.90 1-94 1-97 2.OI 2.0: 2.08 2.12 .05 1.86 1.89 1.92 1.94 1.97 2.OO 2.O3 2.06 2.OQ 2.12 2.15 2.19 2.22 2.26 2.30 2-34 2.38 2.42 2.46 2.51 2.56 2.6c 2.65 O.06 2.24 2.27 2.30 2.33 2.36 2.40 2.43 2-47 2.51 2-55 2-59 2.63 2.67 2.71 2.76 2.81 2.85 2.gc 2.96 3.01 3-07 3.12 3.19 .07 2.61 2.64 2.68 2.72 2.76 2.80 2.84 2.88 2-93 2.97 3-02 3-06 3-" 3-17 3.22 3-27 3-33 3-3Q 3-45 3-51 3.58 3.65 3-72 .08 2.98 3-02 3.06 3.H 3-15 3.20 3-24 3.29 3-34 3-39 3-45 3-50 3.56 3.62 3-68 3-74 3.81 3.87 3-94 4.01 4.09 4.17 4.25 .Og 3-35 3-40 3-45 3-5 3-55 3-60 3.65 3-70 3.76 3-82 3-88 3-94 4.00 4.07 4.14 4.21 4.28 4.36 4-43 4.52 4.6O 4.69 4-78 . IO 3-73 3.78 3.83 3-88 3-94 4.OO 4.06 4.12 4.18 4.24 4.31 4-38 4-45 4-52 4.60 4.68 4.76 4.84 4-93 5.02 5-II 5-21 5-31 O.II 4.10 4.16 4.21 4.27 4-33 4-40 4.46 4-53 4.60 4-67 4-74 4.82 4.89 4-97 5.06 5-14 5-23 5.32 5-42 5-52 5-62 5.73 5.84 .12 4-47 4-53 4.60 4.66 4-73 4.80 4-87 4-94 5.01 5-09 5-17 5-25 5-34 5-43 5-52 5.6i 5.71 5.8i 5.91 6. 02 6.13 6.25 6-37 13 4-85 4.91 4-98 5-05 5.12 5.20 5-27 5-35 5-43 5-52 5-60 5-69 5.78 5-88 5.98 6.08 6.18 6.29 6.41 6.52 6.64 6.77 6.90 .14 5-22 5-29 5.36 5-44 5.52 5.60 5-68 5-76 5.85 5-94 6.03 6.13 6.23 6.33 6.44 6-55 6.66 6.78 6.90 7.02 7-15 7.29 7-43 .15 5-59 5-67 5-74 5.83 5-91 6.00 6.08 6.17 6.27 6.36 6.46 6.57 6.67 6.78 6.90 7.01 7.14 7.26 7-39 7-53 7.67 7.81 7.96 0.16 5.96 6.04 6.n 6.22 6.30 6.40 6.49 6-59 6.69 6.79 6.89 7.00 7-12 7.24 7.36 7.48 7.61 7-74 7.88 8.03 8.18 8.33 8-49 '7 6-34 6.42 6.51 6.60 6.70 6.79 6.89 7.00 7.10 7-21 7-33 7-44 7.56 7.69 7.81 7-95 8.09 8.23 8.38 8-53 8.69 8.85 9-03 .18 6.71 6.80 6.89 6-99 7.09 7-19 7-30 7-41 7.52 ".64 7.76 7.88 S.oi! 8.14 8.27 8.42 8.56 8.71 8.87 9-03 9.20 9-37 9-56 .19 7.08 7.18 7.28 7.38 7-49 7-59 7-71 7.82 7-94 8.06 8.19 8.32 8.45i 8.59 8.73 8.88 9.04 9.20 9-36 9-53 9.71 9.90 10.09 .20 7-45 7.56 7.66 7-77 7.88 7-99 8. II 8.23 8.36 8.49 8.62 8.76 8.90 g.o-i 9.19 9-35 9-51 9.68 9-85 10.03 10.22 10.42 10.62 O.2I 7.83 7-93 8.04 8.16 8.27 8.39 8.52 8.64 8.78 S.gi 9-5 9.19 9-34 9-50 9-65 9.82 9-99 10.16 10.35 10.54 10.73 10.94 ".15 .22 8.20 8.31 8-43 8.55 8.67 8.79 8.92 9.06 9.19 9-33 9.48 9-63 9-79 9-95 10. II 10.29 10.47 10.65 10.84 11.04 11.24 11.46 n.68 .23 8-57 8.69 8.81 8.94 9:06 9.19 9-33 9-47 9.61 9.76 9.91 10.07 10.23 10.40 10.57 '0.75 10.94 ".13 II-33 "54 11-75 n. g8 12.21 24 8-94 9.07 9.19 9-32 9.46 9-59 9-73 9.88 10.03 10.18 10-34 10.51 10.68 10.85 11.03 11.22 11.42 11.62 11.82 12.04 12.26 12.50 12.74 25 9-32 9.45 9.58 9-71 9.85 9-99 10.14 10.29 10.45 10.61 10.77 10.94 II. 12 11.30 11.49 II.6g 11.89 12.10 12.32 12.54 12.78 13-02 13.27 O.26 9.69 9.82 9.96 IO. IO 0.24 10.39 10.54 0.70 0.87 11.03 1 1. 20 ".38 "57 11.76 11.95 12. 16 12.37 12.58 12. 81 3-04 13.29 3-54 13.80 27 10.06 10.20 0-34 10.49 10.64 10.79 10.95 I. it 1.28 11.46 11.63 11.82 12.01 12.21 12.41 12.63 12.84 3-07 3-3 3-55 13.80 4.06 14-33 .28 10.44 10.58 0.72 10.88 1.03 11.19 11.36 ".52 1.70 11.88 12.07 12.26 12.46 12.66 12.87 13.09 3-32 3-55 3-8o 14.05 14-31 4.58 14.87 .29 10.81 10.96 I. it 11.27 11.43 "59 11.76 1-93 2.12 12.30 12.50 12.70 I2.9O 13." 3-33 3-56 13.80 4-04 14-39 14-55 14.82 5.1015.40 .30 II. IS ".S3 1.49 11.66 1.82 11.99 12.17 2-35 2.54 12.73 12.93 13.13 13-35 13-57 3-79 4.03 14.27 14.52 14.78 15-05 15-33 5.62 15-93 0.31 H-55 11.71 1.87 12.04 2.21 12.39 12-53 2.76 2.95 13-15 13-36 13.57 13-79 14.02 4-25 14.50 14-75 15.00 5-27 15-55 5.84 6.14 16.46 .32 "93 12.09 2.26 12.43 2.6l 12.79 12.98 3-17 3-37 13-58 13-79 4.01 14.24 14-47 4-71 4.96 15.22 15.49 5-77 16.06 6.35 6.67 16.99 33 12.30 2-47 2.64 12.82 3.00 I3-I9 13-38 3-58 3-79 14.00 14.22 4-45 14.68 14.92 5-17 5-43 5-70 15-97 6.26 16.56 6.86 7.19 17.52 3-1 12.67 2.85 3.02 13.21 3-40 13.59 13-79 3-99 4.21 14-43 14.65 4-89 15.13 15.37 5-63 5-90 6.17 16.46 6.75 17.06 7-37 7.7i 18.05 35 13.04 3.22 3-41 13.60 3-79 13-99 14.20 4.41 4-63 14.85 5.08 5-32 15-57 15.83 6.09 6.37 6.65 16.94 17.24 17.56 7-8g 8.23 18.58 0.36 13-42 3.60 3-79 13-99 4.18 14-39 14.60 4.82 5-04 15-27 15.51 5-76 16.02 16.28 16.55 6.83 7-13 17-42 17-74 18.06 8.40 8.75 ig. II 37 13-79 3.98 4.17 14-37 14-58 14.7915.01 5-23 5.46,15.70 5-94 6.20 16.46 16.73 17.01 7-30 7.60 I7-9 1 18.23 18.56 S.gi 9-27 19.64 .33 14.16 14.36 4-55 14.76 14-97 15-19 15.41 5.64 5-88 16.12 6-37 16.64 16.91 17.18 17-47 7-77 8.08 18.39 18.72 19.07 9.42 9-79 2O.I7 39 14-54 14-73 4-94 15.15 15.37 15.59 15-82 6.05 6.30 16.55 6.81 17.07 17.35 17.64 17-93 8.24 8.55 18.88 19.22 19.57 ig-93 0.31 2O.7I .40 14.91 15.11 5-32 15-54 15-76 15-99 16.22 6.46 6.72 16.97 7.24 17.51 17.80 18.09 18.39 8.70 9.03 19.36 19.71 20.07 20.44 0.83 21.24 0.41 15.28 15.49 5.70 15.93 16.15 16.39 16.63 6.88 7.13' 17.40 7-67 17.95 18.24 18.54 18.85 9.17 9-50 19.84 20.20 20.57 20.95 1-35 21.77 .42 15.65 15-87 6.09 16.32 16.55 16.79 17-03 7.29 7-55 17-82 8.1018.39 18.69 18.99 19-31 9-64 9.9820.33 20. 6g 21.07 21.46 1.87 22.30 43 16.03 16.25 6-47 16.71 16.94 17.19 17.44 7.70 7.9718.24 8.5318.83 19-13 19.44 19-77 O.II 0.4620.81 21. 18 21-57 21.97 2.39 22.83 44 16.40 16.62 6.85 17.09 17-3-1 17.59 17.85 8. ii 8-39 18.67 8.96 19.26 19.58 19.90 20.23 0.57 0.93121.30 21.67 22.08 22.48 2.92 23-36 45 16.77 17.00 7.24 17.48 17-73 17.99 18.25 8.52 8.81 19.09 9-39 19.70 20.02 20.35 20.69 1.04 1.41 21.78 22.16 22.58 23.00 3-44 23.89 0.46 17.14 17-38 7.62 17.87 18.12 18.39 18.66 8.93 9.22 19-52 9.82 20.14 20.47 20.80 21.15 1.51 1.88 22.26 22.66 23.08 23.51 3-96 24.42 47 17.52 17.76 8.00 18.26 18.52 18.79 19.06 9-35 9-64 19.94 20.25:20.58 20.91 21.25 21. 61 1.98122.36 22.75 23.1523.58 24.02 4-48 24.95 .48 17.85 18.13 8.38 18.65 18.91 19.19 19.47 9.76 0.0620.37 0.68^1.01 21.36 21.71 22.07 2.44 22.8323.23 23.6524.08 24.53 25.00 25.48 49 18.26 18.51 8.77 19.04 19-31 19.59 19.87 20.17 0.4820.79 21. II 21.45 21. So 22.15 22.53 2.91 23.31 23.72 24.1424.58 25.04 25-52 26.01 .50 18.64 18.89 9-15 19.42 19.70 19.98 20.28 20.58 0.8921.22 1-55 21.89 22.24 22.61 22.99 3.38 23-78 24.2024.6425.09 25.55 26.04 26.54 12 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION,^. The Correction has the same sign as the ^ Argument: Declination of Star. Constant. In reflection observations the 1 sign is reversed. 10 c o O Declination of Star. 86 35' 36' 37' 38' 39' 87 9' 10' n' 12' 13' 14' 15' 88 36' 37' 38' 39' 40' 4l' 42' 43' 44' 45' 46' s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. S. s. S. O.OI O.II O.II O.II O.II O.I2 0.13 0.13 O.I3 4.65 4.67 4.69 4.71 5-49 5-52 5-55 5.58 5.62 5-65 5.68 10.85 10.98 n. II 11.24 11.38 11.52 n.66 11.81 11.96 12.12 12.28 .42 4-75 4-77 4-79 4.81 4.83 5-63 5-65 5-69 5.72 5-75 5.78 5.82 II. 12 11.25 11.38 11.52 II.66 11.80 11-95 12. IO 12.26 12.41 12.57 43 4.86 4.88 4-90 4-92 4-94 5-76 5-79 5-82 5.86 5-89 5.92 5.96 11.38 11.52 11.65 11.79 11.93 12. OS 12.23 12.38 12.55 12.71 12.87 .44 4-97 4-99 5-02 5-04 5.06 5-90 5-92 5.96 5-99 6.03 6.06 6.09 11.65 11.78 11.92 I4.OOJI2.3I 12.36 12.52 12.67 12.84 13.00 I3-I7 45 5.08 5. ii 5-13 5.15 5.17 6.03 6.06 6.09 6.13 6.16 6. 20 6.23 II.9I 12.05 12.19 12.34 12.49 12.64 12.80 12.96 13.13 I3.30 13-47 0.46 5.20 5.22 5-24 5.27 5.29 6.16 6.19 6.23 6.27 6.30 6.33 6.37 I2.I8 12.32 12.47 12. 61 12.76 12.93 13.09 13.25 13.42 13-59 13.77 47 5-31 5-33 5.36 5.38 5-40 6.30 6-33 6.36 6.40 6.44 6.47 6.51 12.44 12.59 12.74 12.89 13.0413.21 13-37 13.54 13.71 13.89 14.07 .48 5-42 5-45 5-47 5-50 5-52 6.43 6.46 6.50 6.54 6.58 6.61 6.65 12.71 12.85 13.01 13.16 13.32,13.49 13.66 I3.82 14.01 14.18 14-37 .49 5-54 5-56 5-59 5-6i 5-63 6-57 6.60 6.63 6.67 6.71 6.75 6.79 12-97 13.12 13.28 13.44 13.6013.77 13.94 14.11 14.30 14.48 14.67 50 5.65 5.67 5-70 5-73 5-75 6.70 6-73 6.77 6.81 6.85 6.89 6.92 13 23 13.39 13-55 13.71 13.88114.05 14.22 14.40 14.59 14.78 14.97 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, Bb . The Correction has the same sign as the c Argument: Declination of Star. Constant. In reflection observations the <7> sign is reversed. c o O Declination of Star. 83" 47 48' 49' 5' 51' 52' 53' 54' 55' 56' 57' 58' 59' 89 o' I 1 2' 3' 4' 5' 6' 7' 8' 9' s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. S. s. s. s. s. s. s. s. O.OI 0.30 0.31 0.31 0.32 0.32 0.33 0.33 0.33 0.34 0.35 0-35 0.36 0.36 0-37 0.37 0.38 0.39 -39 0.40 0.41 0.42 0.42 0.43 .02 0.61 0.62 0.62 0.62 0.64 0.65 0.66 0.67 0.68 0.69 0.70 0.71 0.72 0.74 0.75 0.76 0.77 0.79 0.80 0.81 0.83 0.85 0.86 .03 O.QI 0.92 0.94 0.95 0.96 O.ql 0.99; I. oo 1. 02 I.O4| 1.05 1.07 t. 08 I. 10 1. 12 1. 14 1.16 1. 18 1.20 1.22 1.24 1-27 1.29 .04 1. 21 1.23 1.25 1.26 1.28 1.30 1.32 1-34 1.36 1.38 1.40 1.42 1-45 1-47 1.49 1.52 1-55 1-57 I. 60 1.63 1.66 I.6q 1.72 .05 1-52 1-54 1.56 1.58 1. 60 1.63 1.65 1.67 1.70 1.72 1-75 1.78 1.81 1.84 1.87 1.90 1-93 1.97 2.OO 2.O4 2.08 2. II 2.16 O.O6 1.82 1.84 1.87 1.90 1.92 1.95 1.98 2.OI 2.04 2.07 2.10 2.14 2-17 2.21 2.24 2.28 2.32 2>3f 2.40 2.4-1 2-49 2-54 2-59 .07 2.12 2.15 2.18 2.21 2.24 2.28 2.31! 2.34 2.38 2.42 2.45 2.49 2-53 2-57 2.62 2.66 2.70 2.75 2.80 2.85 2.90 2.96 3-02 .08 2.43 2.46 2.4<3 2-53 2.56 2.60 2.64! 2.68 2.72 2.76 2.8o 2.85 2.89 2.94 2.99 3-04 3-09 3.15 3.20 3.26 3-32 3.38 3-45 .09 2.73 2-77 2.81 2.84 2.89 2.93 2.971 3.01 3.06 3.10; 3.15 3-20 3-25 3-3' 3.36 3-42 3.48 3-54 3.60 3.67! 3.74 3-81 3-88 .10 3-03 3.08 3.12 3.16 3-21 3.25 3-30 3-35 3-40 3-45 3.50 3.56 3-62 3.67 3-74 3-8o 3.86 3-93 4.OO 4.07 4-15 4-23 4.31 O.II 3-34 3-38 3-43 3.48 3-53 3.5S 3-63 3.68 3-74 3-8o 3.85 3-91 3-98 4-04 4. II 4.18 4-25 4-33 4.40 4.48 4.56 4.65 4-74 .12 3.64 3-69 3-74 3-79 3.85 3-9 3.96 4.02 4.08 4.14 4.20 4-27 4-34 4.41 4.48 4.56 4-64 4-72 4.80 4.89 4.98 5-07 5-1- 13 3-94 4.00 4.05 4. ii 4.17 4-23 4.29 4.35 4.42 4.48 4-56 4.63 4.70 4-78 4.86 4-94 5.02 5-Ji 5-2O 5.30 5-40 5-50 5-6o 14 4.25 4-3"! 4-37 4-43 4-49 4-55 4.62 4.69 4.76 4.83 4.91 4-98 5-o6 5-15 5-23 5-32 5-41 5-50 5.60 5.70 5-81 5-92 6.03 15 4-55 4.61 4.68 4-74 4.81 4.88 4-95 5.02 5.10 5.18 5-26 5-34 5-42 5-51 5.60 5-70 5.80 5-9 6.00 6. II 6.22 6-34 6.46 0.16 4-85 4-92 4-99 5.o6 5-13 5-20 5-28 5.36 5-44 5.52 5-61 5-69 5-79 5.88 5.98 6.08 6.18 6.29 6.40 6.52 6.64 6.76 6.90 17 5.16 5-23 5-30 5-37 5-45 5-53 5.6l 5-69 5.78 5.86 5-96 6.05 6.15 6.25 6.25 6.46 6.57 6.68 6.80 6.93 7.06 7.19 7-33 .18 5-4(> 5-54 5.61 5.69 5-77 5-85 5-94 6.03 6.12 6.21 6.31 6.41 6.51 6.62 6.72 6.84 6.96 7.08 7.20 7-33 7-47 7.61 7.76 .19 5.76 5.84 5.92 6.01 6.09 6.18 6.27 6.36 6.46 6.56 6.66 6.76 6.87 6.98 7.10 7.22 7-34 7-47 7.60 7-74 7.88 8.01 8.19 .20 6.07 6.15 6.24 6.32 6.41 6.50 6.60 6.70 6.80 6.90 7.01 7-12 7.23 7-35 7-47 7.60 7-73 7.86 8.00 8.15 8.30 8.46 8.62 O.2I 6.37 6.46 6-55 6.64 6-73 6.83 6-93 7-03 7-14 7.24 7-36 7-47 7-59 7.72 7.85 7.98 8. ii 8.26 8.40 8.56 8.72 8.88 9-05 .22 6.68 6.76 6.86 6.95 7-05 7-15 7.26 7-37 7.48 7-59 7-71 7.83 7-96 8.08 8.22 8.36 8.50 8.65 8.80 8.96 9-'3 9-30 9-48 23 6.98 7.07 7-17 7-27 7-37 7.48 7-59 7.70 7.82 7-94 8.06 8.19 8.32 8.41; 8-59 8.74 8.89 9.04 9.20 9-37 9-54 9-72 9.91 .24 7.28 7.3S 7.48 7-59 7.69 7.80 7-92 8.04 8.:6 8.28 8.41 8.54 8.68 8.82 8-97 9.12 9.27 9-44 9.60 9.78 9-96 10.15 10.34 25 7-59 7.69 7.80 7.90 8.02 8.13 8-25 8.37 8.50 8.62 8.76 8.90 9.04 9-19 9-34 9.50 9.66 9-83 IO.OO 10. 19 10.38 10.57 10.78 O.26 7-89 S.oo 8. II 8.22 S.34 8.46 8.58 8.70 8.83 8.97! 9.11 9.25 9-40 9.56 9-7i 9.88 10.05 10.22 10.41 10.59 10.79 10.99 II. 21 .27 8.19 8.30 8.42 8.53 8.66 8.78 8.91 9.04 9-i7i 9-32 9.46 9.61 9-76 9-92 10.09 10.26 10.43 10.62 10.81 ii .00 1 1. 20 11.42 11.64 .28 8.50 8.61 8-73 8.85 8.98 9.11 9-24 9-37 9.511 9.66 9.81 9-97 10.12 10.29 10.46 10.64 10.82 II. OI II. 21 11.41 11.62 11.84 12.07 .29 8.80 8.92 9.04 9.17 9-30 9-43 9-57 9.71 9.85:10.00 10.16 10.32 10.49 10. 66 10.83 ii. 02 II. 21 n. 4C II. 61 11.82 12.04 12.26 12. 50 .30 9.10 9.23 9-35 9.48 9.62 9.76 9.90 10.04 10.19 10.35 10.51 10.68 10.85 1 1. 02 II. 21 11.40 11-59 1 1 . 80 12. OI 12.22 12-45 12.68 12.93 0.31 9.41 9-53 9.67 9.80 9-94 10. 08 10.23 10.38 10.5? 10.70 10.86 II .03 II. 21 "-39 11.58 11.78 11.98 12.19 12.41 12.63 12.86 I3-II I3-36 .32 9.71 9.84 9.98 10.12 10.26 10.41 10.56 10.71 10.87 ii .04 II. 21 "39 11-57 11.76 11.96 12.16112.36 12.58 I2.8I 13.04 13.28 13.53 13-79 33 10. OI 10. 15 10.29 10.43 10.58 10.73 lo.89Jn.05 II. 21 11.38 11.56 11.74 'i-93 12.13 12.33 12.5412.75 I2;g8 13-21 13-45 13-70 13.95 14.22 34 10.32 10.46 10.60 10.75 10.90 ii. 06 11.22 11.38 11.55 11-73 Il.gl 12.10 12.29 12.50 12.70 2.92 13.14 13.37 13.61 13.85 14.11 M-37 14.65 35 10.62 10.76 TO-, gl 1 1. 06 II .22 11.38 11.55 "-72 11.89 12.08 12.26 12.46 12.66 12.86 13.08 13.30 13-52 13.76 14.01 14.26 14.52 14.80 15-08 0.36 IO.g2 11.07 11.22 11.39 it. 54 11.71 11.88 12.05 12.23 12.42 12. 6l I2.8I 13.02 13.23 13-45 13-68 13-91 14.16 14-41 14.67 14-94 15-22 15-52 37 11.23 11.38 11.54 11.70 11.86:12.03 12.21 12-39 12.57 12.76 12.96 13.17 13-38 13.60 13-82 4.06 14.30 14.55 I4-8l 15.0815.3615.64 15-95 .38 H-53 11.69 11.85 12. OI 12.18 12.36 12.54 12.72 12.91 13-11 13.32 13.52 13-74 13-97 14.20 4.44 14.68 14.9-1 15.21 15-48:15-7716.07 16.38 39 11.83 11.99 12. 16 12.33 12.50 12.68 12.87 13.06 13-25 13.46 13.67 13.88 14. 10 4-33 '4-57 14.82 15.07 15.33 I5.6I 15.89 16.18 16.49 16.81 .40 12. 14 12.30 12.47 12.64 12.82 13.01 13.20 13.39 13-59 13-80 14.02 14.24 14.46 14.70 14.94 5.20 15.46 15-73 16.01 16.30 16.60 16.91 17.24 0.41 12.44 12.61 12.78 12.96 13.14 13-33 13-53 13-73 3-93 14.14 14.37 14-59 14.83 15-07 15-32 5-5815-84 16.12 16.41 16.71 17.02 17-33 17-67 42 12.74 12.92 13.10 13.28 13-47 1 3 . 66 13.86 14.06 4.27 14.49 14.72 14-95 15.19 15-44 15.69 5.96 16.23 16.51 16.81 17.11 17.43 17.76 iS.ic 43 13-05 [3.22 13-4' 3-59 13-79 13-98 14.19 14.40 14.61 14.84)15.07 15.30 15.55 15.80 16.06 6.34 16.62 16.91 17.21 I7.52|i7.84 18.18 18.53 44 13.3; 13.53 13.72 3-91 14.11 14-31 14-52 14-73 14.95 15.18 15.4215.66 15.91 16.17 16.44 6.72 17.00 17.30 17-61 17.93:18.26 IS. 60 iS.gf 45 '3-6? 13.84 14.03 4.22 M-43 14-63 14-85 15.07 15-29 15-52 15.77 16.02 16.27 16.54 16.81 7.10 17-39 17.69 I&.OI '8.34 i8.6s 19.03 19.40 0.46 13.96 14.15 14-34 4-54 '4-75 14 . 96 5. IS 15-40 15-63 15.87 16.12 16.37 16.63 16.90 17. 19 7.48 17-77 18.09 18.41 18-74 19.08 19.45 19.83 47 14.26 14.45 14.65 4.86 15-07 15.28 5-51 15-74 5-97 16.22 16.47 16.73 17.00 17.27 17.56 7.8618.16 18.48 18.81 19.15 19.50 19.87 20.26 48 14-56 14.7614.97 5-17 15-39 15.61 15.84 16.07 16.31 16.56 16.82 17.08 17.36 17.6417.93 8.24.18.55 18.87 19. 2 1 jig. 56 19.9220.29 20.69 4Q 14.87 15.07 15.28 15.4915.71 15-93 16.17 16.41 16.65 16.90 17.17 17.44 7.72 18.01 18.31 8.62 18.9319.27 19.61 19.97 20.34 20.72 21. 12 50 15.17 15.38 15.59 15-80 16.03 16.26 16.50 16.74 16.99 17.25 17.52 17-79 8.08 18.37 18.68 9.00 19.32 19.66 20. 01 20.37 20.75 21. 14 21.55 1 1 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, Bb., S.P. l The Constant and the Correction have opposite a Argument: Declination of Star. signs. In reflection observations the Correction y> C has the same sign as the Constant. o (_) * Declination of Star. S635' 36' 37' 38' 39' 87 9' to' II 1 12' 13' 14' 15' 88 36' 37' 38' 39' 40' 4i' 42' 43' 44' 45' 46' s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. S. s. S. s. s. s. s. 0.01 O. IO O.IO O.IO O.IO O.IO 0.12 O.12 0.12 O.I2 0.12 O.I2 0.12 0.25 0.25 0.26 0.26 O.26 0.27 O.27 0.27 0.28 0.28 0.28 .02 0.19 O.2O O.20 O.2O O.2O O.24 0.24 0.24 O.24 O.24 0.24 O.25 0.50 0.50 0.51 0.52 0.52 0-53 0.54 0.54 0.55 0.56 0.57 .03 0.29 0.29 0.30 0.30 0.30 0-35 0.36 0.36 0.36 0.36 0.37 0-37 0.75 0.76 0.77 0.78 0.79 0.80 0.81 0.82 0.83 0.84 0.85 .04 0.39 0-39 0.39 0.40 0.40 0-47 0.48 0.48 0.48 0.49 0.49 0.49 I.OO I .01 i. 02 1.03 1.05 i. 06 1.08 1.09 I.IO I. 12 1.14 .05 0.49 0.49 0.49 0.50 0.50 0-59 O.60 O.6O O.6o 0.61 0.61 0.61 1.25 1.26 1.28 1.29 I-3I 1-33 1-34 1.36 1.38 1.40 1.42 0.06 0.58 0.59 0-59 0.59 O.6o 0.71 0.71 0.72 O.72 0-73 o.73 0-74 1.50 1.51 1-53 1-55 i-57 1-59 1.61 1.64 1.66 i. 68 1.70 .07 0.68 0.69 0.69 0.69 0.70 0.83 0.83 0.84 0.84 0.85 0.86 0.86 1.74 1-77 1.79 l.Sl 1.83 1.86 i. 88 1.91 1-93 1.96 1.99 .08 0.78 0.78 0-79 0.79 0.80 0.95 0.95 0.96 0.96 0-97 0.98; 0.98 1.99 2. 02 2.04 2.07 2. IO 2.12 2.15 2.18 2.21 2.24 2.27 .09 o.8S 0.88 0.89 0.89 O.gO 1. 06 1.07 1. 08 I.Og 1.09 I. 10 HI 2.24 2.27 2.30 2-33 2.36 2-39 2.42 2-45 2.49 2.52 2.56 .10 0.97 0.98 0.98 0.99 I.OO 1.18 I.I9 I. 2O I. 21 I. 21 1.22 1.23 2.49 2.52 2.55 2-59 2.62 2.65 2.69 2.72 2.76 2.80 2.84 O.II 1.07 i.oS i. 08 1.09 .09 1.30 31 32 1-33 1-34 1-34 1-35 2.74 2.77 2. Si 2.84 2.88 2.92 2.96 3.00 3-04 3.08 3-12 . 12 1. 17 1.17 1.18 1.19 19 1.42 43 44 1.45 1.46 1.47 1-47 2.99 3-03 3.06 3-io 3.14 3.18 3-23 3.27 3-31 3-36 3.41 .13 1.27 1.27 1.28 1.29 .29 1.54 55 .56 1-57 1.58 1-59 i. 60 3-24 3.28 3.32 3-36 3.41 3-45 3-50 3-54 3-59 3-64 3.69 '4 1.36 1-37 1.38 1-39 39 1.66 .67 .68 i .69 1.70 1.711 1.72 3-49 3-53 3.58 3.62 3.67 3-72 3.76 3.82 3.87 3-92 3.97 .15 1.46 1.47 1.48 1.49 49 1.77 79 .80 I. Si 1.82 1.83 1.84 3-74 3.78 3.83 3-88 3-93 3-98 4.03 4.09 4.14 4.20 4.26 0.16 1.56 57 J.57 .58 59 1.89 1.90 1.92 1-93 1-94 1.96 1-97 3-99 4.04 4.09 4.14 4.19 4-25 4-3 4.36 4-42 4.48 4.54 -17 1.66 .66 1.67 .68 .69 2.01 2. 02 2.04 2.05 2.06 2.08 2.09 4.24 4.29 4-34 4.40 4-45 4-51 4-57 4.63 4.70 4.76 4.83 .18 1-75 .76 1-77 .78 79 2.13 2.I4J 2.16 2.17 2.19 2. 2O 2.21 4-49 4-54 4.60 4.65 4.72 4.78 4.84 4.90 4-97 5-4 5-11 .!<) 1.85 .6 1.87 .88 .89 2.25 2.26 2.28 2.29 2.31 2.32 2.33 4.74 4 79 4.85 4.91 4.98 5.04 5- 5.18 5-25 5-32 5-39 .20 1.95 .96 1.97 .98 99 2.37 2. 3 S 2.40 2.41 2.43 2.44 2.46 4.98 5-0-1 5-ii 5-17 5-24 5-3' 5-38 5-45 5.52 5-60 5,68 O.2I 2.05 2.06 2.07 2. Of 2.09 2.48 2.50 2.52 2-53 2-55 2.57 2.58 5-23 5.30 5.36 5-43 5-50 5-57 5-f>5 5-72 5-8o 5-88 5.96 .22 2.14 2.15 2.16 2.18 2.19 2.60 2.62 2.64 2.6s 2.67 2.69 2 70 5.48 5-55 5.62 5-69 5.76 5.84 5.92 6.00; 6.08 6.16 6.25 23 2.24 2.25 2.26 2.28 2.29 2.72 2-74 2.76 2-77 2-79 2.81 2.8 3 5-73 5.80 5-87 5-95 6.03 6.10 6.18 6.27 6.35 6.44 6-53 .24 2-34 2-35 2.36 2.38 2-39 2.84 2.86 2.88 2.89 2.91 2-93 2-95 5.98 6.05 6.13 6.21 6.29 6.37 6.45 6.54 6.63 6.72 6.81 25 2.44 2-45 2.46 2.48 2.49 2.96 2.98 3.00 3.02 3-04 3.06 3-07 6.23 6.30 6? 38 6.46 6.55 6.64 6.72 6.81 6.90 7.00 7.10 O.26 2.53 2.55 2.5& 2.57 2.59 3.08 3-Ofj 3.11 3-14 3.16 3-iS 3.20 6.48 6.56 6.64 6.72 6.81 6.90 6.99 7.09 7. IS 7.28 7.38 27 2.63 2.64 2.66 2.67 2.69 3.19 3-21 3-23 3.26 3.28 3-30 3.32 6.73 6.81 6.90 6.98 7-07 7-17 7.26 7.36 7.46 7.56 7.67 .28 2.73 2.74 2.76 2.77 2-79 3.31 3-33 3-35 3.38 3.40 3.42 3-44 6.98 7.06 7.15 7-24 7-34 7-43 7-53 7.63 7-73 7.84 7-95 .29 2.82 2.84 2.85 2.87 2.89 3-43 3-45 3-47 3-50 3-52 3-54 3.56 7-23 7.31 7-41 7-50 7.60 7.70 7.80 7.90 8.01 8.12 8.23 30 2.92 2.94 2-95 2.97 2-99 3-55 3-57 3-59 3.62 3-64 3.67 3.69 7.48 7-57 7.66 7.76 7.86 7.96 8.07 8.18 8.29 8.40 8.52 0.31 3.02 3-03 3-05 3.07 3.08 3.67 3.69 3-71 3-74 3-76 3-79 3.8i 7-73 7.82 7.92 8.02 8.12 8.23 8.34 8-45 8.56 8.68 8. So -32 3-12 3-13 3-15 3-17 3-18 3-79 3-81 3.83 3.86 3-88 3-9' 3-93 7-97 8.07 8.17 8.28 8.38 8.49 8.60 8.72 8.84 8.96 9.08 33 3-21 3.23 3-25 3-27 3-28 3-90 3-93 3-95 3.98 4.01 4.03 4.06 8.22 8.32 8.43 8.53 8.65 8.76 8.87 8-99 9.11 9.24 9-37 34 3.31 3-33 3-35 3-37 3.38 4.02 4.05 4.07 4.10 4.13 4.15 4.18 8-47 8.57 8.68 8.79 8.91 9.02 9.14 9.26 9-39 9.52 9- 6 5 35 3.41 3-43 3-44 3-47 3.48 4.14 4-17 4.19 4.22 4-25 4.28 4.30 8.72 8.83 8.94 9-5 9.17 9.29 9.41 9-54 9-67 9.80 9-94 0.36 3.51 3-52 3-54 3-56 3.58 4.26 4.28 4.31 4-34 4-37 4.40 4.42 8.97 9.08 9.19 9-31 9-43 9-55 9.68 9.81 9-94 io. 08 IO.22 37 3.60 3.62 3.64 3.66 3-68 4.38 4.40 4-43 4.46 4.49 4-52 4-55 9.22 9-33 9-45 9-57 9.69 9.82 9-95 IO.08 10.22 10.36 IO.5O 38 3.70 3-72 3-74 3.76 3.78 4-5" 4.52 4-55 4.58 4.61 4.64 4.67 9-47 9.58 9.71 9-83 9.96 10.09 10.22 10.36 IO.5O 10.64 10.79 39 3.80 3.82 3.84 3.86 3.88 4.62 4.64 4 67 4.70 4-73 4.76 4-79 9.72 9.83 9.96 10.09 10.22 10.35 10.49 10.63 IO -77 10.92 11.07 .40 3-9 3-92 3-94 3-9 6 3.98 4-74 4.76 4-79 4.82 4.86 4-89 4.92 9-97 10.09 IO.22 10.34 10.48 10.62 10.76 10.90 11.05 1 1. 20 11.36 0.41 3-99 4.01 4.03 4.06 4.08 4.85 4.88 4.9' 4-9 4.98 5-01 5-04 IO.22 10-34 10.47 [O.6o to. 74 10.88 1 1. 02 11.17 11.32 11.48 1 1 . 64 42 4.09 4. II 4-13 4.16 4.18 4-97 5.00 5-03 5-07 5.10 5-13 5-i6 IO.47 10.59 '0.73 io 86 11.00 11.15 11.29 11.44 11.6011.76 11.92 43 4.19 4.21 4-23 4.26 4.28 5-09 5-12 5-15 5-19 5-22 5-25 5.28 IO.72 10.84 10.98 II. 12 11.27 11.41 11.56 11.7211.88 12.04 12.21 44 4.29 4-31 4-33 4-36 4-38 5-21 5-24 5-27 5-3' 5-3J 5-38 5-41 10.96 II. IO 11.24 11.38 H-53 11.68 11.83 11.99 12.15 12.32 12.49 45 4.38 4.41 4-43 4.46 4.48 5-32 5.36 5-39 5-43 5-46 5-50 5-53 II. 21 11.35 11.49 II .64 11.79 11.94 12.10 12.26 12.43 12.60 t2.78 0.46 4.48 4.50 4-53 4-55 4-58 5-44 5-47 5.51 5-55 5.58 5.62 5.65 11.46 1 1. 60 "75 II .90 12.05 12.21 12.37 12.54 12.71 12.88 I3.O6 47 4.58 4.60 4.62 4.65 4.68 5.56 5-59 5.63 5-67 5-71 5-74 5.78 11.71 11.85 12.00 12.15 12.31 12.47 12.64 12.81 12.98113.16 '3-34 .48 4. 68 4.70 4.72 4-75 4.78 5-68 5.71 5-75 5-79 5.83 5.87 5.90 11.96 12. II 12.26 12.41 12.57 12.74 12.91 13.08 13. 26113. 44 13.63 .49 4-77 4.80 4.82 4.85 4.88 5.8o 5-83 5.87 5.91 5-95 5-99 6. 02 12.21 12.36 12.51 12.67 12.84 13.00 13. 18 '3.35,13-5313-72 '3-9' .50 4.87 4.90 4.92 4-95 4-97 5.92 5-95 5-99 6.03 6.07 6. II 6.15 12.46 12. 6l 12.77 12.93 I3.ioji3.27 13-44 13.62 13.81 14.00 14.19 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. A r ',^i r r," " * < ^ ~ *t j VALUES OF THE LEVEL CORRECTION, St., S.P. ^**H, ^ V r 'A The Constant and the Correction have opposite * c Argument : Declination of Star. signs. In reflection observations the Correction rt has the same sign as the Constant. a Declination of Star. 88" 47 53' 54' 55' 56' 57' 58' 59' 89 o' i' 2' 3' 4' 5' 6' i 8' 9' 48 49 5" 51 52 s. s. s. s. s. s. s. s. s. s. s. s s. s. s. s. s. s. s. s. s. s. s. s. O.OI 0.29 O.2g 0.30 0.30 0.31 0.31 0.31 0.32 0.32 0-33 o.33 0.34 0.35 0.35 0.36 0.36 o.37 0.38 0.38 0.39 0.40 0.41 0.42 .02 0.58 0.58 0.59 0.60 0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.70 0.72 P.73 0.74 0.76 0.77 0.78 0.80 0.81 0.83 03 0.86 o.S8 0.89 o.go O.g2 0-93 0.94 o.g6 0.97 o.gg I.OO 1. 02 1.04 i .06 1.07 i. 09 i. ii I-I3 1.15 1.17 i . 20 1.22 1.25 .04 1.15 1.17 1. 18 1.20 1.22 1.24 1.26 1.28 1.30 1.32 1-34 1.36 1.38 1.41 1-43 1.46 1.48 I-5I 1-54, 1-57 1. 60 1.63 1.66 -05 1.44 1.46 1.48 1.50 1.52 1-55 1-57 1. 60 1.62 1.65 1.67 1.70 1-73 1.76 1-79 1.82 1.85 1.89 1.92 1.96 2.OO 2.04 2.08 O.06 1.73 1-75 1.78 i. So 1.83 1.86 i. 89 i.g2 1-95 i.gS 2.OI 2.04 2.08 2. II 2.15 2.ig 2.23 2.27 2.31 2.35 2.40 2.44 2.49 .07 2.02 2.04 2.07 2.10 2.14 2.17 2. 2O 2.23 2.27 2.31 2-34 2.38 2.42 2.46 2-51 2-55 2.60 2.64 2.69 2.74 2.80 2.8 5 2.gi .08 2.30 2.34 2.37 2.40 2.44 2.48 2.51 2.55 2-59 2.64 2.68 2.72 2.77 2.82 2.86 2.gl 2.97 3.02 3-o8 3-14 3.20 3.26 3-32 .09 2-59 2.63 2.67 2.7O 2.74 2.79 2.83 2.87 2.92 2.97 3.01 3.06 3.1' 3-17 3-22 3-28 3-34 3-40 3.46 3.53 3.60 3.67 3-74 .10 2.88 2.92 2.96 3.OO 3-05 3-10 3-14 3-19 3-24 3-29 3-35 3.40 3-46 3.52 3-58 3.64 3-71 3.7S 3-S5 3-92 3-99 4.07 4-15 0. II 3-17 3.21 3.26 3-31 3.36 3-41 3-46 3-51 3-57 3.62 3.68 3-74 3.81 3-87 3-94 4.01 4.08 4.15 4-23 4-31 4-39 4.48 4-57 .12 3-45 3-50 3-55 3.61 3-66 3.72 3-77 3.83 3-8g 3-95 4.02 4.08 4-15 4.22 4.50 4-37 4-45 4-53 4.62 4-70 4-79 4-8g 4-98 13 3-74 3.80 3.85 3-91 3.96 4.02 4-og 4-15 4.22 4.28 4-35 4.42 4.50 4-57 4.65 4-74 4.82 4.91 5.oo 5-Og 5-19 5-29 5-40 .14 4-03 4.00 4-15 4.21 4.27 4-33 4.40 4-47 4-54 4.61 4-6g 4.76 4.84 4-93 5-01 5.10 5.19 5-29 5.38 5-4g 5-59 5-70 5-82 15 4.32 4.38 4-44 4-51 4.58 4.64 4.7i 4-79 4.86 4-94 5.02 5-10 5.19 5-28 5-37 5.46 5.56 5.66 5-77 5.88 5-99 6. ii 6.23 o. 16 4.61 4.67 4-74 4.8l 4.88 4-95 5-03 5.11 5.19 5-27 5-36 5-44 5-54 5.63 5-73 5.83 5-93 6 04 6.15 6.27 6-39 6.52 6.65 -17 4-89 4.96 5-04 5. II 5.18 5.26 5-34 5-43 5-51 5.60 5-6g 5-79 5.88 5^8 6.09 6. 10 6.31 6.42 6-54 6.66 6-79 6.92 7.06 .18 5-iS 5.26 5-34 5-41 5-49 5-57 5.66 5-75 5.84 5-93 6.03 6.13 6.23 6.33 6.44 6.56 6.68 6.80 6.92 7-05 7-19 7-33 7.48 .ig 5-47 5-55 5.63 5-7' 5-8o 5.88 5-97 6.06 6.16 6.26 6.36 6.47 6.57 6.69 6.80 6.92 7-05 7.17 7.31 7-45 7-59 7-74 7.8g .20 5-76 5-84 5-93 6.01 6.10 6.19 6.29 6.38 6.49 6-59 6.70 6.81 6.92 7-04 7.16 7.29 7-42 7-55 7-6g 7.84 7-99 8.14 8.31 0.21 6.05 6.13 6.22 6.31 6.40 6.50 6.60 6.70 6.81 6.92 7-03 7-15 7-27 7-39 7-52 7-65 7-79 7-93 8.08 8.23 8-39 8.55 8.72 .22 6.33 6.42 6.52 6.61 6.71 6.81 6.91 7.02 7.13 7-25 7-37 7-49 7.61 7-74 7.88 8.01 8.16 8.31 8.46 8.62 8-79 8.96 9.14 .23 6.62 6.72 6.81 6.91 7.02 7.12 7-23 7-34 7.46 7.58 7-70 7.83 7.96 8.09 8.23 8.38 8-53 8.68 8.85 9. 01 9.19 9-37 9-55 24 6.91 7.01 7.11 7.21 7-32 7-43 7-54 7.66 7.78 7.91 8.04 8.17 8.30 8.45 8.59 8.74 8. go 9.06 9-23 g.4i 9-59 9-77 9-97 25 7.20 7.30 7.41 7.51 7.62 7-74 7.86 7.98 8. u 8.24 8-37 8.51 8.65 8.80 8-95 9. ii 9-27 9-44 9.62 9.80 9-99 10.18 10 38 O.26 7-49 7-59 7.70 7.81 7-93 8.05 8.17 8.30 8.43 8-57 8.70 8.85 g.oo g.is 9.3t 9-47 9.64 9.82 10.00 10. Ig 10.39 10.59 10.80 .27 7-77 7.88 8.00 8. ii 8.24 8.36 8.49 8.62 8.76 8.90 9-04 g.ig 9-34 9-50 g.67 g. 84^10. 01 10.20 10.38 10,58 10.79 11.00 11.22 .28 8.06 8.18 8.29 8.41 8.54 8.67 8.80 8.94 9.08 9-23 9-37 9-53 9.69 g.8s IO.O2 10.20 io.3g '0.57 10.77 10. 97 ii . ig 11.40 11.63 29 8-35 8-47 8-59 8.72 8.84 8.98 g.n g.26 9.40 9-56 9.71 9.87 10.03 IO.21 10.38 10.56 10.76 10.95 11.1511.37 11.59 II. 81 12.05 30 8.64 8.76 8.89 9.02 9-15 9.29 9-43 9.58 9-73 9.89 10.04 10.21 10.38 10.56 10.74 10. g3 11.13 H-33 11.54 1 1 . 76 11-99 12.22 12.46 0.31 8.92 9-05 g.iS 9-32 9-46 9.60 9-74 9.90 10.05 10.21 10.38 10.55 10-73 lo.gi II. IO 11.29 11.50 11.71 11.92 12.15 12.38 12.63 12.88 32 9.21 9-34 9.48 9.62 9.76 g.gi 10. 06 IO.2I 10.3810.54 10.71 lO.Sg 11.07 11.26 11.46 11.66:11.87 12.08 12.31 12.54 12.78 13.03 13-29 33 9-50 9.64 9-77 9-92 10.06 10.22 10.37 10.53 10.7010.87 11.05 11.23 11.42 11.61 11.81 r2.O2 12.24 12.46 12. 6g 12-93 13.18 13.44 13.71 34 9-79 9-93 10.07 10.22 io.37io.53 10.69 10.85 11.03 11.20 11.38 H.57 ii .76 11.96 12.17 12.39 12. 61 12.84 13.08 13-32 13.58 13.85) 14.12 35 10. 08 IO.22 10.37 10.52 10.68 10.84 11.00 11.17 11.35 ".53 11.72 II. gl 12. II 12.32 12.53 12.75 12.98 13.22 13.46 I3-72 13-98 I4.25 H-54 0.36 10.36 10.51 10.66 10.82 10.98 II. J5 11.31 11.49 11.67 11.86 12.05 12.25 12.46 12.67 12. 8g 13.11 13-35 13. 6g 13.85 14.11 14.38 14.66 I4.95 37 10.65 lO.So io.g6 II. 12 11.28:11.46111.63 11.81 12. 0012.19 12.59 12.59 12.80 13.02 I3-25 13.48 13.72 13-97 I4.23 14.50 14.78 15.07 15.37 .38 10.94 II. 10 11.26 11.42 ii. 59' ii. 76 11.94 12.13 12.32 12.52 12.72 12.93 I3-15 13-37 13.60 13.84 14-09 14-35 14.61 14-89 15.18 15.48 15.79 39 11.23 11-39 it. SI 11.72 Ii.go'12.07^12.26 12.45 12.65 12.85 13.06 .13.27 13. 4g 13-72 13.96 14.21 14.47 '4-73 15.00 15.28 15-5815.88 16.20 .40 11.52 11.68 11.85 12.02 12.20 12.38 12.57 12.77 12-97 13.18 13-39 13.61 13.84 14.08 14.32 14.57 14-84 15.10 15.38 15-67 15-98 I6.2g 16.62 0.41 ii 80 H-97 12.14 12.32 12.50 12. 6g 12.89 13-og 13-30 13-51 13-73 13.95 14.19 14-43 14.68 t4-94 15.21 15.48 15.77 16.07 16.38 16.70 I7-03 .42 12. og 12.26 12.44 12.62 12. Si 13.00 13.20 13-41 13.62 13-84 14.06 14.29 14.53 14.78 15.04 15-30 15-5? 15.86 16.15 16.46 16.78 17.11 17-45 43 12.38 12.56 12.74 12.92 13.12 I3-3I 13.51 13-73 13-94 14.17 14.40 14.63 14.88 15.13 15.39 15.66 15-9! 16.24 16.54 '6-85 17. 1817. 51 17.86 44 12.67 12.85 '3-03 13.22 13.42 13.62 13.83 14.04 14.27 14.50 14.7314.97 15.22 15-48 15-75 16.03 16.32 16.61 i6.g2 17.24 17-58 17-92 18.28 45 12. gO 13.14 '3-33 13.52 13.72 13-93 14.14 14.36 14.59 14-83 15.07 15.31 15-57 15.84 i6.il i6.39 16.69 i6.gg 17-31 17.64 17-gS lS.33 18.69 0.46 13-24 13-43 13.63 13.82 I4-03 14.24 14.46 14.68 14-92 15.16 15.40 15.65 15.92 16.19 16.47 16.76 17.06 17-37 17. 6g 18.03 18.38 18-73 19. II 47 13-53 I3.72 13. g2 14.12 14-34 I4-55 14-77 15.00 15-24 15-49 15.74 15.99 16.26 16.54 16.83 17.12 17-43 17-75 1 8. 08 18.42 18.78 ig. 14 ig.52 .48 13.82 14.02114.22 14.43 14.64 14.86 15-og I5-32 15.57 15-82 16.07 16.33 16.61 16.89 17.18 17.4917.80 18.12 18.46 18.81 ig. 1819.55 19-94 49 14.11 14.31 M-SI M-73 14-94 15.17 15.4015.64 15.89 16.15 16.41 16.67 16.95 17.24 17-54 17-85 18.17 18.50 18.85 19.20 ig.sS 19.96 20.35 .50 14-39 14.60 14.81 15.03 15-25 15.48 15-72 15-96 16.21 16.47 16.74 17.02 17.3 17.60 17.90 18.22 18.54 18.88 19-23 ig.6o ig-97 20.36 20.77 J i6 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CORRECTION, Cc . Above the Pole the Correction has the same c rt Argument: Declination of Star. sign as the Constant; below the Pole the Cor- n c rection has the opposite sign. o O Declination of Star. 86 35' 3 6' 37' 38' 39' 87 9' 10' Ii' 12' 13' 14' 15' 88 36 37' 38' 39' 40' 4'' 42' 43' 44' 45' 46' s. s. S. s. s. s. s. s. S. s. s. s. s. s. s. s. s. S. s. s. s. s. S. s. O.OI 0.17 0.17 o. 17 0.17 0.17 O.2O 0.20 0.20 O.2C O.2I O.2I O.2I 0.41 0.41 0.42 0.42 0.43 0.44 0.44 0-45 0.45 o. 4 f 0.46 .02 o.34 0.34 0-34 0.34 0-34 0.40 O.4O 0.41 0.41 0.41 0.41 0.42 0.82 0.83 0.84 0.85 o.86 ! 0.87 o.S8 0.89 0.91 0.92 0-93 .03 0.50 0.51 0.51 0.51 0.51 0.60 0.61 0.61 0.61 0.62 0.62 0.63 1.2? 1.24 I.2f 1.27 1.29 1.31 1.32 1-34 1.36 1.38 1.40 .04 0.67 0.67 0.68 0.68 0.68 0.80 o.Si o.Si 0.8 0.82 0.83 0.83 1.64 1.66 1.68 1.70 1.72 1.74 1.76 '79 1.81 '.83 1.86 -05 0.84 0.84 0.85 0.85 0.86 I.OI I.OI 1.02 I.O I.O3 I. Of 1.04 2.05 2.07 2.10 2. 12 2.15 2.18 2. 2O 2.23 2.26 2.29 2.32 O.O6 .01 1. 01 1. 02 1. 02 1.03 I. 21 I. 21 1.22 1.2 1.24 1.24 1-25 2.46 2.49 2.52 2-55 2.58 2.61 2.64 2.68 2.71 2.75 2.79 .07 17 I.J8 1.19 I. If 1.20 I.4I 1.42 1.42 1.4 1-44 1.45 1.46 2.87 2.90 2-94 2-97 3-01 3-05 3.09 3.>3 3.'6 3.21 3.26 .oS 34 '35 1.36 1.36 1-37 1.61 1.62 1.63 1.6 1.65 1.66 1.6 7 3-27 3-3' 3-35 3-40 3-44 3.48 3-53 3-57 3.62 $.(* 3-72 .09 51 1-52 1.52 1-53 1-54 1.81 1.82 1.83 1.8 1.85 1.86 1.88 3-68 3-73 3-77 3.82 3-87 3-92 3-97 4.02 4.07 4.12 4.18 . 10 .68 1.69 1.69 1.70 1.71 2.OI 2. 02 2.O-| 2.O 2. Of 2.07 2.08 4.09 4-14 4.19 4.24 4-30 4-35 4.41 4-4f 4-52 4.58 4.65 0. I I 1.85 1.85 1.86 1.87 1.88 2.21 2.23 2.24 2.2 2.27 2.28 2.29 4.50 4.56 4.61 4.67 4-73 4-79 4.85 4.91 4.98 5-04 5.11 . 12 2.OI 2.02 2.03 2.04 2.05 2.41 2.43 2.44 2. 4 6 2.47 2.49 2.50 4-91 4-97 5-03 5-Og 5-16 5.22 5-29 5-3f> 5-43 5.50 5.58 .'3 2.18 2.19 2. 2O 2.21 2.22 2.6l 2.63 2.6s 2.66 2.68 2.69 2.71 5-32 5.38 5-45 5-52 5-59 5.66 5-73 5.8o S.8S 5.96 6.04 M 2-35 2.36 2.37 2. 3 8 2.4O 2.82 2. 83 2.85 2.87 2.88 2.90 2.92 5-73 5.80 5.87 5-94 6.02! 6.09 6.17 6.25 6.33 6.42 6.50 -'5 2.52 2-53 2.54 2.55 2.57 3.02 3-03 3-05 3.07 3.09 3- 1' 3.13 6.14 6.21 6.29 6.37 6.45 6.53 6.61 6.70 6.79 6.88 6-97 o. 16 2.68 2.70 2.71 2.72 2.74 3-22 3-24 3.26 3.28 3-29 3.3i 3-33 6.55 6.63 6.71 6.79 6.88 6.96 7-05 7-14 7-24 7-33 7-43 '7 2.85 2.87 2.88 2.90 2.91 3-42 3-44 3.46 3.48 3-50 3-52 3-54 6.96 7-04 7.13 7.21 7.31 7.40 7-49 7-59 7-69 7-79 7.90 .18 3.02 3-03 3-05 3.07 3-o8 3-62 3.64 2.66 3-68 3.71 3-73 3.75 7-37 7-46 7-55 7.64 7-74 7.83 7-93 8.04 8.14 8.25 8.36 .19 3-ig 3-20 3.22 3-24 3-25 3-82 3-84 3-87 3.89 3-9 1 3-94 3.96 7.78 7-87 7.97 8.06 8.17 8.27 8.38 8.48 8.60 8-7' 8.83 .20 3.36 3-37 3-39 3.41 3-42 4.02 4.05 4.07 4.09 4.12 4.14 4.17 8.19 8.28 8.39 8.49 8.60 8.70 8.82 8.93 9-05 9-17 9-29 O.2I 3-52 3-54 3-56 3.58 3-59 4.22 4-25 4.27 4.30 4.32 4-35 4-38 8.60 8.70 8.81 8.91 9-03 9.14 9.26 9-38 9-50 9-63 9.76 .22 3.69 3-71 3-73 3-75 3.76 4-42 4-45 4.48 4.50 4-53 4.56 4-59 9.00 9.11 9.22 9-34 9.46 9-57 9.70 9.82 9-95 10. 08 IO.22 .23 3.86 3-88 3-90 3-92 3-94 4.63 4.65 4.68 4-71 4-74 4.76 4-79 9.41 9-53 9.6-1 9.76 9.89 10.01 10. I-| 10.27 10.41 10-54 10.69 .24 4-03 4.05 4.07 4.09 4. II 4-83 4-85 4.88 4.91 4-94 4-97 5.00 9.82 9-94 10. 06 10.19 10.32 lo.44!io.58 10.72 10.86 11.00 II. IS 25 4.20 4.22 4-24 4.26 4.28 5.03 5.o6 5-09 5-12 5-15 5.18 5-21 10.23 10.36 10.48 10.61 10.75 10.88 11.02 II. 16 11.31 11.46 II.6I O.26 4-36 4.38 4.40 4-43 4-45 5.23 5.26 5-29 5.32 5-35 5-39 5-42 10.64 10.77 10.90 11.03 11.17 11.32 11.46 ii. 61 11.76 11.92 12.08 27 4.53 4-55 4-57 4.60 4.62 5-43 5.46 5-49 5.53 5.56 5-59 5-63 11.05 II. IS 11.32 11.46 1 1. 60 11.75 Il.gO 12. 06 12.21 12.38 '2.54 .28 4.70 4.72 4-74 4-77 4-79 5.63 5-66 5-70 5-73 5-77 5-8o 5-84 1 1 . 46 1 1. 60 II.74 11.88 12.03 12.19 12.34 12.50 12.67 12.84 13.01 .29 4.87 4.89 4.91 4-94 4.96 5-83 5.87 5.90 5-94 5-97 6.0! 6.04 11.87 12.01 12. 16 12.31 12.46 12.62 12.78 12.95 13.12 13.29 '3-47 .30 5.03 5.06 5.08 5-n 5-13 6.03 6.07 6.10 6.14 6.18 6.22 6.25 12.28 12.43 12.58 '2.73 12.89 13-06 13.22 13.40 '3-57 '3-75 '3-94 0.31 5.20 5-23 5.25 5.28 5-30 6.23 6.27 6.31 6-35 6.38 6.42 6.46 12.69 12.84 13.00 13.16 13.32 '3-49 13.66 13.84 14.02 14.21 M.40 32 5-37 5-40 5-42 5-45 5.48 6.44 6.47 6.51 6.55 6.59 6.63 6.67 13.10 13.25 '3.42 13.58 '3-75 13-93 I4.II 14.29 14.48 14.67 14.87 33 5-54 5.56 5-5Q 5.62 5.65 6.64 6.68 6.72 6.76 6.80 6.84 6.88 13.51 13.67 13.84 14.01 14.18 '4.36 M.55 M-73 M-93 '5-'3 15.33 34 5-7' 5-73 5.76 5-79 5.82 6.84 6.88 6.92 6.96 7.00 7.04 7.09 13.92 14.08 14.26 14.43 14.61 14.80 14.99 15-18 '5.38 15.59 15.80 35 5.87 5-9 5-93 5-96 5-99 7.04 7.08 7.12 7.16 7.21 7.25 7.30 14-33 14.50 14.68 '4.85 "5-04 15.23 5-43 15.63 I5-83 16.04 16.26 0.36 6.04 6.07 6.10 6.13 6.16 7.24 7.28 7-33 7-37 7.41 7.46 7-50 14-74 14.9! 15.09 15.28 15-47 15-67 15.87 16.07 16.29 16.50 16.73 37 6.21 6.24 6.27 6.30 6.33 7-44 7-49 7-53 7-57 7.62 7.67 7-71 15.14 15.33 15.51 15.7 15.90 16.10 16.3! 16.52 16.74 16.96 17. 19 38 6.38 6.41 6.44 6.47 6.50 7.64 7.69 7-73 7.78 7-83 7.87 7.92 15-55 15.74 15.93 16.13 '6.33 16.54 16.75 16.97 17.1917.42 I7-65 39 6-54 6.58 6.61 6.64 6.67 7.84 7.80 7-94 7.98 8.03 8.08 8.13 15.96 16.15 16.35 6.55 16.76 16.97 17.19 '7.41 17.6417.88 18.12 .40 6. 7 r 6.74 6.78 6.81 6.84 8.04 8.09 8.14 8.19 8.24 8.29 8.34 16.37 16.57 16.77 6.98 17.19 17.41 17.63 17.86 18.10 18.34 18.58 0.41 6. 88 6.91 6.95 6.98 7.02 8.25 8.29 8.34 8.39 8.44 8.49 8.55 16.78 16.98 17.19 7.40 17.62 17.84 18.07 I8.3I '8.55 '8.79 19.05 42 7.05 7.08 7. ii 7-15 7-19 8.45 8.50 8.55 8.60 8.65 8.70 8.75 17.19 17.40 17.61 7.82 iS.os 18.28 18.5! '8.75 ig.OO 19.25 I9.5I 43 7.22 7.25 7.28 7-32 7.3f> 8.65 8.70 8.75 8.80 8.85 8.91 8.96 17.60 17.81 18.03 8.25 18.48 18.71 18.95 19.20 19.45 19.71 19.98 44 7-3S 7-42 7-45 7-49 7-53 8.85 8.90 8.95 9.01 9.06 9.12 9.17 I8.0I 18.22 18.45 8.67 18.91 '9-15 19.40 19.65 19.9! 20.17 20.44 45 7-55 7-59 7.62 7.66 7.70 9-05 9.10 9. 16 9.21 9.27 9-32 9-38 18.42 IS. 64 18.87 9.10 '9-34 '9-58 lg.8-1 20.00 20.36 20.63 20.91 0.46 7-72 7.76 7-79 7.83 7-87 9.25 9-3' 9.36 9-42 9-47 9-53 9-59 18.83 19.05 19.29 I9.52 19-77; 20.02 2O.28 20.54 20.81 21.09 21-37 47 7.89 7.92 7.96 8 . oo 8 . 04 9-45 9-51 9.56 9.62 9.68 9.74 9.80 19.24 ig.47 19.71 19.95 2O.2C:2O.45 2O.72 20.99 2I.262I.54'2I.84 .48 8.05 8 . 09 8.13 8.17 8.21 9.65 9.71 9-77 9.83i 9-88 9-94 IO.OO 19.65 19.88 20.13 20.37 20.63;20.89 21. 16 21.43 21.72 22.00 22.30 .49 8.22 8.26 8.30 8.34 8.38 9.85 9.91 9.97 IO.O3 IO.O9:IO. 15 IO.2I 20.06 20.30 20.55 20.So2I.o6|2I.32 21.60 21.88 22. 17 22.46,22.77 .50 8-39 8-43 8.47 8.51 8.55 10. 06 IO.I2 io.i8jio. 24 10.30 10.36 10.42 20.46 20.71 20.96 21.22 21.49 21,76 22.04 22.32 22.6222.92 23.23 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CO ERECTION, Cc, c Argument: Declination of Star. Above the Pole the Correction has the same sign as the Constant ; below the Pole the Correc- a tion has the opposite sign. | O o Declination of Star. SS 47' 48' 49' 5' 51' 52' 53' 54' 55' 56' 57' 58' 59' 89 o' i' 2' 3' 4' 5' 6' 7' 8 ' 9' s. s. S. s. s. S. s. s. s. s. s. s s. S. s. s. s. s. s. s. s. s. s. S. 0.01 0.47 0.48 0.48 0-49 0.50 0.51 0.51 0.52 0-53 0.54 0.55 0-55 0.56 0.57 0.58 0.59 0.60 0.61 0.62 0.64 0.65 0.66 0.67 .02 0.95 0.96 0-97 0-99 I.OO 1.02 1.03 1.05 1. 06 1.08 I. 10 i. ii 1.13 1. 15 I.I? 1.19 I. 21 1.23 1-25 1.28 1.30 1-33 1-35 .03 1.42 1.44 1.46 1.48 1.50 1-52 1-54 1-57 1.59 1.62 1.64 1.67 1.70 1.72 1-75 1.78 I. Si 1.85 1.88 1.92 1-95 1.99 2.03 .04 1.88 I.9I 1.94 1.96 1-99 2.02 2.05 2.08 2.12 2.15 2.18 2.22 2.26 2.29 2-33 2-37 2.41 2.45 2.50 2.55 2.6o 2.65 2.70 05 2.36 2-39 2.42 2.46 2.49 2.52 2.56 2.60 2.64 2.68 2.73 2.78 2.82 2.86 2.91 2.96 3-01 3-07 3.12 3.18 3.24 3-30 3-37 0.06 2.83 2.8 7 2. go 2.94 2.99 3-03 3.08 3-13 3.17 3-22 3-28 3-33 5.38 3-44 3-50 3.56 3.62 3-68 3-75 3.82 3.89 3-97 4-04 07 3-30 3-35 3-39 3-44 3-49 3-54J 3-59 3.65 3-70 3-76 3.82 3-88 3.95 4.01 4.08 4.15 4.22 4-30 4-38 4.46 4-54 4-63 4-72 .08 3-77 3.82 3.87 3-93 3.98 4-04 4.10 4-17 4.23 4-30 4-37 4-44 4.51 4-58 4.66 4-74 4.82 4.91 5.00; 5.10 5-19 5-29' 5-39 .09 4-24 4-30 4o6 4.42 4.48 4-54 4.62 4.69 4.76 4.83 4.91 4-99 5.08 5.16 5-25 5-34 5-43 5-53 5-62 5.73 5.84 5-95 6.071 . IO 4.71 4.78 4-84 4.91 4.98 5-05 5-13 5-21 5-29 5-37 5-46 5-55 5.64 5-73 5.83 5-93 6.03 6.14 6.25 6.37 6.49 6.6l 6.74 O. II 5-i8 5-25 5-33 5-40 5.48 5.56 5-64 5-73 5-82 5.91 6.00 6.10 6.20 6.30 6.41 6.52 6.63 6.75 6.88 7.00 7-14 7-27 7-41 .12 5-65 5-73 5-81 5.89 5-98 6.07 6.16 6.25 6.35 6.45 6.55 6.65 6.76 6.88 6-99 7- ii 7-24 7-37 7-50 7.64 7.78 7-93 8.09 .13 6.12 6.21 6.29 6.38 6.48 6.57 6.67 6.77 6.88 6.98 7.09 7.21 7-33 7-45 7.58 7-71 7.84 7.98 S.I2 8. 28 8.43 8-59 8.76 .14 6.59 6.69 6.78 6.88 6.98 7.08 7.18 7-29 7.40 7-52 7.64 7.76 7-8g 8.02 8.16 8.30 8.44 8.59 8.75 8.91 9.08 9.26 9.44 15 7.06 7.16 7.26 7-37 7-47 7-58 7.70 7.8, 7-93 8.06 8.19 8.32 8-45 8.60 8.74 8.89 9-5 9.21 9.38 9-55 9-73 9.92 10. ii r, . 1 l"i 7-54 7.64 7-75 7.86 7-97 8.09 8.21 8.33 8.46 8.60 8.73 8.87 9.02 9.17 9.32 9.48 9-65 9.82 IO.OO 10.19 10.38 10.58 10.78 17 8.01 8.12 8.23 8-35 : 8.47 8.59 8.72 8.86 8.99 9-13 9.28 9-43 9-58 9-74 9.91 10.08 10.25 10.44 10.62 10.82 n.cn 11.24 11.46 .IS 8.48 8.60 8.72 8.84 8.97 9.10 9.24 9-38 9-52 9-67 9.82 9.98 10. 14 10.31 10.49 10.67 10.86 11.05 ix. 35 11.46 u. 68 II. go 12.13 .19 8-95 9.07 9.20 9-33' 9-47 9.61 9.75 9.90 10. OS 10.21 10.3710.54 10.71 10.89 11.07 11.26 11.46 ii. 6611.88 12.10 12.33 12.56 12.81 .20 9.42 9-55 g.68 9.82 9.96 10. II 10.26 10.42 10.58 10.74 10.91 n .09 11.27 11.46 1 1 . 65 11.85 12.06 12.28 12.50 12.73 12.97 13-22 13.48 0.21 9.89 10.03 10.17 10.31 10.46 10.62 10.78 10.94 ii. ii 11.28 11.46 11.64 11.84 12.03 12.24 12.45 12.67 12.89 13.12 13-37 13.62 13-88 14-15 .22 10.36 10.50 10.65 10.80110.96 II. 12 11.29 11.46 11.64 11.82 12.01 1 2. 2O 12.40 12. 6l 12.82 13-04 13-27 I3.5I 13.75 14.01 14-27 14-54 14-83 .23 10.83 io.g8 ! n.i4 11.30)11.46 11.63 II.80 Il.gS 12.16 12.36:12.55 12.75 12.96 13.18 13-40 13-63 13-87 14. 12 14.38 14.64 14.92 15-21 15-50 24 11.30 11.46 11.62 11.79 n .96 12. 13(12.3! I2.5O 12.69 12.89 13.10 13-31 13-53 13.75 13.98 14.22 14.48 14-73 15.00 15.28 15-57 15-87 16.18 25 11.78 11.94 12. IO 12.28 12.46 12.64 12.83 13.02 13.22 13.43:13.64 13-86 14.09 14.32114.57 14.82 15- oS 15.35 15.62 15.92 16.22 16.53 16.85 0.26 12.25 12.41 12.59 12.77 12.96 13.14 13-34 13-54 13-75 13-97 14.19 14.42 14.65 14.90 15.15 15-41 15-68 1 5 96 16.25 16.55 16.87 17.19 I7-52 .27 12.72 12.89 13-07 13.26 13.45 13.65 13.85 14.06 14.28 14.5014.73 14-97 15.22 15.47 15-73 16.00 16.28 16.58 16.88 17.19 17-51 17.85 18.20 .28 13.19 13-37 13-56 13-75 13.95 I4.I6 14-37 14-59 14.81 15.04115.28 '5-53 15.78 16.04 16.32 16.60 16.89 17.19 17-50 17.82 18.16 18.51 18.87 .29 13-66 13.85 14.04 14.24 14-45 14.66 14.88 IS-" 15-34 15.58 15.83 16. 08 16.34 16.62 16.90 17.19 17.49 17.80 18.12 18.46 18.81 19.1719.55 30 14-13 14-32 14-53 14-73 14-95 15.17 15-39 15-63 15-87 16.12 '6.37 16.64 16.91 17.19 17.48 17.78 18.09 18.42 18.75 19.10 19.46 19.83 20.22 0.31 14.60 14.80 15.01 15.22 15-45 15.67 15.91 16.15 16.40 16.65 l6.g2 17.19 17-47 17.76 18.06 18.37 18.70 19.03 19.38 19-73 20.11 20.49 20.89 . .32 15.07 15.28 15-49 15.72 15.95 16.18 16.42 16.67 16.92 17.19 17.46 17-74 18.04 18.34 18.65 18.97 19.30 19-64 20.0020.37 20.76 21. 16 21-57 33 15-54 15.76 15.98 l6.2I;i6.44 l6.68ji6.g3 17.19 17-45 17-73 18.01 18.30 18.60 18.91 19.2319.56 19.90 2O.262O.62 21. OI 21.41 21.82 22.24 34 16.01 16.23 16.47 16.70^16.94 17.1917.45 17.71 17.98 18.26 18.55 ,8.85 ig.i6 19.48 19.81 20.15 20.51 20.8721.25 21.64 22.06 22.48 22.02 35 16.48 16.71 16.95 17.19 17-44 17.70 17.96 18.23 18.51 1 8. 80 ig.io 19.41 19.73 20.0620.3920.74 2 1. 1 1 21.49 21. SS 22.28 22.70 23.14 23-59 0.36 16.96 17.19 17.43 17.68 17.94 18.20 18.47 18.75 19.04 19-34 19.65 19.96 20.29 20.6320.98 21.34 21.71 22.10 22.50 22.92 23.35 23.80 24.26 37 17.4317.67 17.92 18.17:18.44 18.71 iS.gS 19.27 19.8820.19 20.52 20.85 21.2021.56,21.93 22.32 22.71 23.12 23.55 24.00 24.46 24-94 38 17.9018.14 18.40 18.6618.94 10.21 19.50 19.79 20. 1020.41)20.74 21.07 21.42 21.77 22. 14 22.52 22.9223.33 23.75 24.1924.65 25. 12 25.61 39 18.37 18.62 18.88 19.15 19-43 19.72 2O. OI 20.32 20.6320.95 21.28 21.6321.98 22.35 22.73 ! 23.I2 23.52123.94 24.38 24.83 25.30 25.78 26.29 .40 18.84 19.10 19-37 19.64 19.93 20.22 20.52 20.84 21. 16 21.49:21.83 22.l8|22.54 22.92 23.31 23-71 24-I3 24.56 25.00 25.46 25.95 26.44 26 . 96 0.41 19.31 19.58 19.85 20. 14 20.43 20.73 2I.O^ 21.36 21.68 22.03 22.37 22.7323.11 23-49 23.89 24.3024.73 25.17 25.62 26.10 26.60 27.11 27.63 42 19.78 20. 06 20. 3_i 20.63 20.93 21.2321.55 21.88 22.21 22.56 22.92 23.2923.67 24.07 24.4724.89:25.33 25.78 26.25 26.74 27.25 27-77 28.31 43 20.25 20.53 20.82 21.12 21.43 2 1 . 74 22 . 06 22 . 40 22 . 74 23.1023.47 23.84 24.23 24.64 25.0625.4925.9426.40 26.88 27.37 27.89 28.43 28.98 44 20.7221.01 21.30 21. 61 21.93 22 . 24;22 .5822. 92:23 . 27 23.64.24.01 24.4024.80 25.21 25.64 26.08,26.54 27.01 27.50 28.01 28.54 29.09 29 . 66 45 21.21 21.4921.79 22.10 ! 22.42 22.75 ! 23 0923.4423.80 24.1724.56 24-95 25.36 25.78 26.22 26.67 27. 14 27.63 28.12 28.65 29-19 29.75 30.33 0.46 21 .67 21.9622.27 22.5922.92 23.2623.6023.96 24.3; 24.71 25.1025.51 25-93 26.36 26.8027.2627.74 28.24 28.75 29.28 29.84 30.41 31.00 47 22.14 22. 4J 22.76 23.08:23.42 23.76)24. 12'24. 48,24. 86 25.25 25.65 26.06)26.49 26.93 27.3927.8628.35)28.85 29.38 29. g2 30.49 31.07 31.68 .48 22.6l 22.92 23.24 23.57 23.92 24.27 24.63 25. oc 25-39 25.7926.1926.62127.05 27.50)27.9728.4528.95)29.47 30.00 30.56 31.14 31-73 32.35 .49 23.08 23.40 23.73 24.06 24.42 24.7725.1425.52125.9226.3226.7427.1727.62 28.08 28.55 29.04 29. ss'so.oS 30.62 31.19 31.79 32-39 33-07 50 23-55 23.87 24.21 24.5624.9! 25.2825.6626.04126.45 26.86 27.28 27.72 28.18 28.65 29. 14 29.64 30. 16 1 30.70 31.2531.83 32.43 33.06 33-70 -72 APP. I GENERAL TABLES OF INSTRUMENTAL CORRECTIONS FOR THE REDUCTION OF TRANSIT OBSERVATIONS U. S. NAVAL OBSERVATORY. EXPLANATION OF TABLES. In the following tables the first column on each page contains five values of the Constant, and the remaining columns contain the corresponding Corrections. The argument is the zenith distance south of the object observed, and is found at the top of each short column of Corrections. For the methods of determining the values of the /actors A, ti, and C, and the Constants a, b, c, see "Introduction to the Observations with the Transit Circle, 1870." TABLE I AZIMUTH TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, Aa . I/I c Between o and 85 and between 275 and 303 Argument : Zenith Distance South. the Correction has the same sign as the Constant ; between 315 and o it has the opposite sign. 85 84 83 82 81 8O 79 78 77 76 75 74' 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. O.OI 0.014 0.014 0.014 0.014 0.013 0.013 0.013 0.013 O.OI2 O.OI2 O.OI2 O.OI2 O.II2 O.III .02 .028 .028 .028 .027 .027 .026 .026 .025 .025 .024 .024 .023 .123 .123 .03 .042 .042 .042 .041 .040 .039 039 .038 037 .036 .036 035 135 .134 .04 .057 .056 .055 .054 053 .052 .051 .051 .050 .041; .048 .047 .146 .145 .05 .072 .070 .069 .068 .066 .065 .064 .063 .062 .O6l .060 .059 .158 157 71 7O 69 68 67 66 65 64 63 62 61 60 59 58 O.OI O.OII j O.OII O.III O.OII O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO 0.009 0.009 0.009 0.009 .02 .022 1 .022 .122 .O2I .021 .021 .020 .020 .020 .019 .019 .019 .018 .018 03 033 033 .132 .032 .031 .031 .030 .030 .029 .029 .028 .028 .027 .027 .04 .045 .044 143 .042 .042 .041 .040 .040 039 .038 .038 .037 .036 .036 .05 .056 .055 .154 053 .052' .051 .050 .050 .049 .048 .047 .046 .046 045 56 54 52 50 48 46 44 42 4O 38 36 34 32 3O O.OI 0.009 0.008 0.008 0.008 o.ooS 0.007 0.007 O-.OO7 0.006 0.006 0.006 0.006 0.005 0.005 .02 .017 .017 .016 .016 .015 .015 .014 .014 .013 .012 .012 .Oil .Oil .010 .03 .026 .025 .024 .023 .022 .022 .021 .020 .019 .018 .017 .017 .016 .015 .04 35 .034 .032 .031 .030 .029 .028 .027 .026 .025 .024 .022 .021 .020 .05 043 .042 .040 039 .038 .036 .035 .034 .032 .031 .029 .028 .027 .025 28 26 24 22 2O 18 17 16 15 14 13 12 11 10 O.OI 0.005 0.005 0.004 0.004 0.004 0.003 0.003 0.003 0.003 0.003 0.003 O.OO2 O.O02 O.OO2 .02 .010 .009 .008 .008 .007 .007 .006 .006 .006 .005 .005 .005 .004 .004 .03 .014 .014 .013 .012 .Oil .010 .009 .009 .008 .008 .coS .007 .007 .006 .04 .019 .018 .017 .016 .014 .013 .013 .012 .Oil .on .010 .OOg .OOg .008 .05 .024 .022 .021 .019 .018 .017 .016 .015 .014 .013 .012 .OI2 .Oil .OIO 9 8 7 6 5 4 3 2 1 O 359 358 357 356 O.OI O.OO2 O.OO2 O.OOI O.OOI O.OOI O.OOI O.OOI o.ooo o.ooo o.ooo o.oco o.ooo O.OOI O.OOI .02 .004 .OO3 .003 .003 .002 .002 ,COI .001 .000 .000 .000 .001 .001 .002 .03 .005 .005 .004 .004 .003 .002 .002 .001 .001 .000 .001 .001 .002 .003 .04 .007 . OO6 .006 .005 .004 .003 .002 .002 .001 .000 .001 .002 .003 .004 .05 .OOg .008 .007 .006 .005 .004 .003 .002 .001 .000 .001 .002 .004 .005 355 354 353 352 351 35O 349 348 347 346 345 344 343 342 O.OI O.OOI O.OOI O.O02 0.002 0.002 0.003 0.003 0.003 0.004 0.004 0.004 0.005 0.005 0.006 .02 .002 .003 .004 .OO4 .OO4 .005 .006 .007 ,007 .008 .009 .009 .OIO .Oil .03 .004 .004 .005 .OO6 .OO7 .008 .009 .OIO .on .012 .013 .014 .016 .017 .04 .'005 .006 .007 .008 .OOg .Oil .012 .013 .015 .016 .017 .019 .021 .022 05 .006 .007 .OOg .OIO ,OI2 .013 .015 .016 .018 .020 .022 .024 .026 .028 341 310 339 338 337 336 335 334 333 332 331 33O 329 328 O.OI 0.006 0.007 0.007 0.008 0.008 0.009 O.OIO O.OIO O.OII O.OI2 0.013 0.014 0.015 0.016 .02 .012 .013 .014 .015 .016 .018 .019 .021 .022 .024 .026 .028 .030 .032 03 .018 .020 .021 .023 .025 .027 .029 .031 33 .036 039 .042 .045 .049 .04 .024 .026 .028 .031 033 035 .038 .041 045 .048 .052 .056 .060 .065 .05 .031 033 .036 .038 .042 .045 .048 .052 .056 .060 .064 .069 075 .081 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 O.OI 0.018 0.019 O.O2I O.O22 0.025 0.027 0.030 0.033 0.037 0.042 0.048 0.056 0.066 0.082 .02 035 .038 .042 .045 .050 055 .060 .067 .075 .085 .097 .112 134 .164 .03 053 057 .062 .068 .074 .082 .090 .100 .112 .127 .146 .168 .200 .246 .04 '.070 .076 .083 .09! .099 .109 .120 134 .150 .170 .194 .224 .267 327 05 .088 .095 .103 .112 .123 .136 .150 .167 .187 .211 .242 .280 332 .408 3O2 3O1 3OO 299 298 297 296 295 294 293 292 291 29O 289 O.OI 0.071 0.062 0.056 0.051 0.047 0.043 0.040 0.038 0.036 0.034 0.032 0.030 0.029 0.028 .02 .142 125 "3 .102 ' .094 .087 .081 .076 .071 .068 .064 .061 .058 .056 03 .212 .188 .168 153 .140 .I3O 1 .121 .113 .107 .101 .096 .092 .087 .084 .04 .283 .250 .224 .204 .187 .173 -161 -151 .142 .135 .128 .122 .116 .in .05 353 .312 .280 -254 233 .216 ! .2OI .189 .178 .168 159 .152 145 139 288 287 286 285 284 283 282 281 28O 279 278 277 276 275 O.OI 0.027 0.026 0.025 0.024 0.023 O.O22 O.022 O.02I O.02O O.02O 0.019 0.019 0.019 0.018 .02 054 .051 .050 .048 .046 045 .043 .042 .041 .040 039 .038 037 .036 03 .080 .077 .074 .072 .069 .067 .065 .063 .O6l .060 .058 057 055 .054 .04 .107 .103 .099 .095 .092 .089 .087 .084 .082 .079 .077 075 .073 .072 .05 133 .128 .123 .119 -us .112 .108 .105 .IO2 .099 .096 094 .092 .089 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, Aa. . "*****. ^ -^ V / . 1 (A Between o and 85 and between 275 and 303 c o Argument : Zenith Distance South. the Correction has the same sign as the Constant ; O between 315 and o it has the opposite sign. 85 84 83 82 81 80 79 78 77 76 75 74 73 72 s. s. s. s. S. s. s. s. s. s. s. s. s. s. s. 0.06 0.086 0.085 0.083 0.081 0.080 0.079 0.077 0.076 0.074 0.073 0.072 0.071 0.070 0.068 .07 .101 .099 .097 095 093 .092 .090 .088 .087 .085 .083 .082 .081 .080 .08 .115 "3 .110 .109 . 106 .105 .102 .101 .099 .098 .095 .094 093 .091 .09 .13 .127 .124 .122 .120 .118 "5 3 .112 .110 .107 .106 .104 .103 .10 .144 .141 .138 .136 133 131 .128 .126 .124 .122 .120 .118 .116 .114 71 7O 69 68 67' 66 65 64 63 62 61 60 59 58 0.06 0.067 0.066 0.065 0.064 0.062 0.06 1 0.060 0.059 0.059 0.058 0.057 0.056 0.055 0.054 .07 .078 .076 075 .074 073 .072 .071 .069 .069 .067 .066 .065 .064 .062 .08 .090 .087 .086 .085 .083 .082 .081 .079 .078 .077 .075 .074 073 .071 .09 .101 .098 .097 095 093 .092 .091 .089 .088 .086 .084 .084 .082 .080 .10 .112 .110 .108 .106 .104 .103 .101 .099 .098 .096 .094 093 .091 .089 56 54 52 5O 48 46 44 42 40 38 36 34 32 3O 0.06 0.052 0.052 0.049 0.047 0.045 0.043 0.042 0.040 0.038 0.037 0.035 0.034 0.032 0.030 .07 .061 .059 057 .055 .052 .050 .048 .047 045 043 .041 039 037 035 .08 .070 .067 .065 .062 .060 .058 .056 .054 051 .049 .047 .045 .042 .040 .09 .078 .076 073 .070 .068 .065 .063 .060 058 .056 053 .050 .048 .046 .10 .087 .084 .081 .078 075 .072 .070 .067 .064 .062 059 056 053 .051 28 26 24 22 20 18 17 16 15 14 13 12 11 10 0.06 0.029 0.027 0.025 0.023 O.O22 O.O2O 0.019 0.018 0.017 0.016 0.015 0.014 0.013 O.OI2 .07 .034 .032 .029 .027 .025 .023 .022 .021 .020 .019 .018 .016 .015 .014 .08 .038 .036 034 .031 .029 .026 .025 .024 .023 .022 .020 .019 .018 .Ol6 .09 043 .040 .038 035 .032 .030 .028 .027 .025 .024 .022 .021 .019 .018 .10 .048 .045 .042 039 .036 033 .032 .030 .028 .027 .025 .023 .022 .O2O 9 8 7 6 5 4 3 2 1 359 358 357 356 0.06 O.OII O.OIO 0.008 0.007 0.006 0.005 0.004 0.003 O.OOI o.ooo O.OOI 0.003 0.004 0.006 .07 .013 .on .010 .009 .007 .006 005 .003 .002 .000 .002 .003 .005 .007 .08 .014 .013 .012 .010 .008 .007 .005 .004 .OO2 .000 .002 .004 .006 .008 .09 .016 .014 013 .on .009 .008 .006 .004 .OO2 .000 .002 .004 .006 .009 .10 .018 .016 .014 .012 .010 .008 .006 .004 .OO2 .000 .002 .005 .007 .010 355 354 353 352 351 35O 349 348 347 346 345 344 343 342 0.06 0.007 0.009 O.OIO O.OI2 0.014 0.016 0.018 O.O2O O.O22 0.024' 0.026 0.029 0.031 0.033 .07 .008 .010 .012 .014 .016 .018 .021 .023 .025 .028 .031 034 .036 .040 .08 .010 .012 .014 .Ol6 .018 .021 .023 .026 .029 .032 035 .038 .042 045 .09 .on .OI3 .O]6 .018 .021 .023 .027 .030 033 .036 .040 043 .047 .051 . IO .012 .015 .018 .O2O .023 .026 .030 033 .036 .040 .044 .048 052 .056 341 340 339 338 337 336 335 334 333 332 331 33O 329 328 0.06 0.037 0.040 0.043 0.046 0.050 0.054 . .0.058 0.062 0.067 0.072 0.078 0.084 0.090 0.097 .07 .043 .046 .050 .054 .058 .062 .067 .072 .077 .083 .090 .097 105 "3 .08 049 053 057 .062 .066 .071 077 .083 .088 095 .103 in .120 .130 .09 055 .059 .064 .069 075 .080 .086 93 .100 .108 .116 .125 135 .146 .10 .061 .066 .071 .077 .083 .089 .096 .103 .in .120 .129 .139 .150 .162 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 0.06 0.105 0.114 0.124 o.i35 0.148 0.163 o. 180 O.20O 0.224 0.253 0.290 0-337 0.399 0.489 .07 .122 133 .144 .158 173 .190 .210 234 .262 .296 338 393 .466 571 .08 .140 .152 .165 .180 .198 .217 .240 .267 .299 .338 387 449 532 .652 .09 .158 .171 .186 .202 .222 .244 .270 .301 337 .380 436 505 599 734 .10 175 . 190 .207 .226 .247 .272 .300 334 374 423 .484 .561 .665 .816 3O2 301 3OO" 299 298 297 296 295 294 293 292 291 29O 289 0.06 0.423 0-374 0-335 0.305 0.280 0.259 0.241 0.226 0.213 O.2O2 0.191 0.182 0.174 0.167 .07 494 .436 39i .356 327 .302 .281 .264 249 235 .223 .212 .203 .194 .08 564 499 447 .407 373 346 .322 .302 .284 .269 255 .243 .232 .222 .09 635 .561 503 .458 .420 389 .362 339 .320 302 .287 273 .261 .250 .10 .706 .624 .560 509 .467 432 .402 377 355 336 319 304 .290 .2 7 S 288 287 286 285 284 283 282 281" 28O 279 278 277 276 275 0.06 o. 160 0.154 0.148 0.143 0.138 0.134 0.130 0.126 O.I22 0.119 0.116 0.113 O.IIO 0.107 07 .186 .179 173 .166 .161 156 151 147 143 139 135 .132 .128 .125 .08 .213 .205 .198 .190 .184 .178 173 .:68 I6 3 .158 154 .150 .146 .143 .09 239 .231 .222 .214 .207 .201 .194 .189 .183 .178 .174 .169 .165 .161 .10 .267 .256 247 .238 .230 .223 .216 .210 .204 .198 193 .188 .183 .179 -72 Arr. I 26 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUE OF THE AZIMUTH CORRECTION, Aa. g rt ft Between o* and 85 and between 275 and 303 a o Argument : Zenith Distance South. the Correction has the same sign as the Constant ; between 315 and o it has the opposite sign. 85 84 83 82 81 8O 79 78' 77 76 75 74 73 72 s. s. S. s. s. s. s. s. s. s. s. s. s. s. s. o.tt 0.158 0.155 0.152 0.150 0.146 o. 144 0.141 0.139 0.136 0.134 0.132 0.129 0.127 0.125 .12 173 .169 .166 .163 .160 157 154 151 .149 .146 .143 .141 .138 .136 '3 .187 .183 .179 177 173 .170 .166 .164 .161 .158 155 .152 .150 147 .14 .202 .197 193 .190 .186 .183 .179 .176 .174 .170 .167 .164 .161 159 15 .216 .212 .207 .204 .199 .196 .192 .189 .186 .183 .179 .176 173 .170 71 7O 69 68 67 66 65 64 63 62 61 6O 59 58 O.It O.I22 O.I2O 0.118 0.117 0.115 0.113 O.III 0.109 0.107 0.105 0.104 O.IO2 O.IOO 0.099 .12 .133 131 .129 .127 .125 .123 .121 .119 .117 US .113 .III .109 .108 13 .145 .142 .140 .138 135 134 131 .129 .127 125 .123 .121 .119 .117 .14 .156 153 .151 .148 .146 .144 .141 .139 137 134 .132 .130 .128 .126 15 .168 .164 .162 159 .156 154 .152 .149 .146 144 .142 139 137 -135 56 54 52 5O 48 46 44 42 40 38 36 34 32 30 O.II 0.096 0.092 0.089 0.086 0.082 0.079 0.077 0.074 0.070 0.067 0.065 0.062 0.058 0.056 .12 .104 .101 097 .094 .090 .086 .083 .080 .077 .074 .071 .067 .064 .061 13 "3 .109 .105 .101 .098 .094 .091 .087 .083 .080 .077 73 .069 .066 :i4 .121 .118 "3 .109 .105 .101 .098 .094 .090 .086 .082 .078 075 .071 15 .130 .126 .121 .117 .112 .108 .104 ,100 .096 .092 .088 .084 .080 .076 28 26 24 22 2O 18 17' 16 15 14 13 12 11 10 O.II 0.053 0.050 0.046 0.043 O.O4O 0.036 0.034 0.033 0.031 0.030 0.028 O.02, 0.023 O.O22 ,12 .058 054 .050 .047 .043 .040 .038 .036 .034 .032 .030 .028 .026 .024 .13 .062 .058 .055 .051 047 043 .041 039 .036 .034 .032 .030 .028 .026 .14 .067 .063 059 055 .051 .046 .044 .042 .039 .037 035 033 .030 .028 IS .072 .068 .063 .059 054 .050 .047 .045 .042 .040 .038 .035 .032 .030 9 8 7 6 5 4 3 2 1 0' 359 358 357 356 O.II O.O2O 0.018 0.015 0.014 O.OI2 0.009 0.007 0.005 O.OO2 o.ooo 0.002 0.005 0.008 O.OIO ,12 .022 .020 .017 .015 .OI3 .Oil .008 .005 .003 .000 .OO3 .006 .008 .on 13 .024 .021 .019 .016 .014 .Oil .008 .006 .003 .000 .003 .op6 .009 .012 .14 .025 .022 .020 .018 015 .012 .009 t .oo6 .003 .000 .003 .006 .010 .013 ,15 .027 .024 .022 .019 .Ol6 .013 .010 '.007 .003 .000 .003 .007 .010 .014 355 354 353 352 351 350 349 348 347 346 345 344 343 342 O.II" 0.013 0.016 0.019 O.O22 0.025 0.029 0.032 0.036 0.040 0.044 0.048 0.053 0.057 0.062 ,12 .014 ".018 .021 .024 .028 .032 035 .040 .044 .048 .053 .058 .063 .068 .13 . .016 .019 .023 .026 .030 034 .038 .043 .047 .052 .057 .062 .068 .073 .14 .017 .020 .024 .028 033 37 .041 .046 .051 .056 .061 .067 073 .079 15 .018 .022 .026 .031 035 .040 .044 .049 .055 .060 .066 .072 .078 .085 341 34O 339 338 337 336 335 334 333 332 331 33O 329 328 O.II 0.067 0.073 0.078 0.085 0.091 0.098 o. 106 0.113 O.I22 0.132 0.142 o.i53 0.165 0.178 .12 073 .079 .086 .092 .100 .107 "5 .124 133 143 154 .166 .179 .194 13 .080 .086 093 .100 .108 .116 .125 134 .144 155 .167 .180 .195 .211 14 .086 93 .too .108 .116 125 134 145 .156 .168 .180 195 ,210 .227 15 .092 .099 .107 .116 125 '34 .144 155 .166 179 .194 .208 .225 .243 387 326 325 324 323 322 321 32O 319 318 317 316 315 303 O.II 0.192 0.209 0.227 0.248 0.272 0.298 0.330 0.367 O.4IT 0.465 0.532 0.617 0.731 0.898 .12 .210 .228 .248, .270. . 296. . -325 .360 .400 .448' 507; .580 -.674 . -797 0.980 13 .228 .247 .269 .292 .321 352 .390 434 .486 550 .629 730 ,864 1.061 .14 .245 .266 .289 3^5 346 379 .420 .467 .523 592 677 .786 930 I-I43 *s. .263 .285 .310 338 370 497 , .450 .500 .56.1 .634 725 .842 997 1.225 3O2 3O1 300 299 298 297 296 295 294 293 292 291 29O 289 O.II 0-777 0.686 0.616 0.560 0.514 0.475 0-443 0.415 0.391 0.370 o.35i -334 0.319 0.305 .12 0.848 .748 .672 .610 .560 ..518 5.483. 453. .426 43; 383- .365 348 333 13 0.918 .811 .728 .661 .607 ,.562 523 .490 .462 437 415 395 377 .361 .14 0.989 873 .784 .712 653 .605 .564 .52.8 497 47P .446 425 .406 389 15 1.059 936 .840 763 .700 .648 .604 .566 533 504 .478 456 435 .417 288 287 286 285' 284 283 282 281 280 279 278 277 276 275 O.II 0.293 0.282 0.272 0.262 0.253 0.245 0.238 0.231 0.224' 0.218 O.2I2 0.207 O.2OI 0.196 .12 .320 307 .296 .286 .276 .268 259 .252 -245 .238. .231 .226 .220 .214 13 347 333 .321 39 .299 .290 .281 273 .265 .257 .250 244 .238 .232 .14 373 .353 346 333 .322 .312 .302 .294 .285 277 .270 .263 .256 .250 ID .400 384 37 357 345 335 324 3i5 .306 .297 .289 .282 .274 .268 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, Aa. +J 1 Between o and 85 and between 275 and 303 rt *'" *' VALUES OF THE AZIMUTH CORRECTION, Aa. ^^_ > ^ G Between o and 85 and between 275 and 303 n Argument : Zenith Distance South. the Correction has the same sign as the Constant ; o U between 315 and o it has the opposite sign. 85 84 83 82 81 80 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.36 0.518 0.508 0.497 0.490 0.479 0.471 0.461 0.454 0.446 0.439 0.429 0.423 0.416 0.409 37 533 .522 5" 503 492 485 474 .466 459 451 441 435 .427 .420 .38 547 536 524 517 55 .498 .486 479 .471 .463 453 .446 439 431 39 .562 550 538 530 519 .511 .499 491 .484 475 465 459 451 443 .40 576 -564 553 '543 532 .524 512 504 .496 .487 477 .470 .462 454 71 7O 69 68 67 66 65 64 63 62 61 60 59 58 0.36 0.402 o.395 0.388 0.383 0-375 0.369 0.364 0-357 0.351 0-345 0.340 0-334 0.329 0.323 37 413 .406 399 392 385 379 374 .367 .361 355 349 343 338 332 -38 424 .417 .410 .403 395 390 384 377 371 .364 359 353 347 341 -39 435 .428 .421 .413 .406 .400 394 .387 .381 374 .368 .362 356 350 .40 .446 439 .432 .424 .416 .410 .404 397 390 384 -378 372 .365 359 56 54 52 5O 48 46 44 42 40 38 36 34 32 30 0.36 0.312 0.302 0.291 0.281 0.271 0.261 0.251 0.242 0.231 0.222 0.216 O.202 0.192 0.182 37 .321 .310 I .299 .289 j .278 .268 .258 .248 .238 .223 .218 .208 .198 .188 -33 330 .318 .307 .296 .286 275 .265 255 244 234 .223 .213 .203 .193 39 338 327 .316 304 .293 .282 .272 .262 .251 .240 .229 .219 .208 .198 .40 347 335 324 .312 .301 .290 .279 .268 257 .246 235 .224 .214 .203 28 26 24 22 2O 18 17 16 15 14 13 12 11 10 0.36 0.172 o. 162 0.152 0.141 0.130 O.IIQ 0.113 o.icS O.IO2 0.096 0.090 0.084 0.078 0.072 37 177 .167 .156 '45 134 .122 .116 .ill .105 .099 .093 .087 .080 .074 38 .182 171 .160 .149 138 .126 .119 .114 .108 .101 .095 .089 .082 .076 39 .187 - .176 .164 153 .141 .129 .123 .117 .no .104 .098 .091 .084 .078 .40 .192 .180 .168 157 145 .132 .126 .120 .113 .107 .100 .094 .086 .080 9 8 7 6 5 4 3 2 1 O 359 358 357 = 356 0.36 0.065 0.059 0.052 0.045 0.038 0.031 0.023 0.016 0.008 o.ooo 0.008 0.016 0.023 0.034 37 .067 .060 .053 .046 039 .031 .024 .016 .008 .000 .008 .016 .024 035 38 .069 .062 i .055 .048 .040 .032 .025 .017 .009 .000 .009 .017 .025 .036 39 .071 .064 .056 049 .041 033 .025 .017 .009 .000 .009 .017 .025 037 .40 .072 .065 .058 .050 .042 034 .026 .018 .009 .000 .009 .018 .026 .038 355 354 353 352 351 35O 349 348 347 346 345 344 343 342 0.36 0.044 0-053 0.063 0.073 0.084 0.095 0.106 0.118 0.131 0.144 0.158 0.172 0.188 0.203 37 045 .054 .065 .075 .086 .098 .109 .122 135 .148 .162 177 193 .209 38 .046 .056 .067 .077 .089 .100 .112 .125 .138 .152 .167 .182 .198 .215 39 .047 057 .068 .080 .091 .103 .115 .128 .142 .156 .171 .187 .203 .220 .40 .048 059 .070 .082 .093 .106 i .118 .132 .146 .160 .176 .192 .208 .226 341 34O 339 338 337 336 335 334 333 332 331 330 = 329 328 0.36 0.220 0.238 0.257 0.277 0.299 0.321 0,346 0.372 0.400 0.429 0.464 0.500 0.539 0.583 37 .226 245 .264 .285 .307 330 356 .382 .411 .441 477 .5U 554 599 .38 .232 .252 .271 293 315 339 365 392 .422 453 .490 .528 569 .616 39 .239 .258 .278 .300 324 348 375 .402 433 465 503 542 584 .632 .40 245 .265 .286 .308 332 357 384 .413 444 477 .516 556 599 .648 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 0.36 0.630 0.684 0.744 0.812 0.889 0.977 1.080 I.2OI 1.345 1.521 740 2. 02 1 2.392 2-939 37 .648 703 765 834 913 1.004 I. no 1.234 1-383 1-564 .789 2.077 2.459 3.021 38 .665 .722 .786 .857 939 1.031 1.140 1.267 1.420 i. 606 .837 2.133 2.525 3.102 39 .683 741 .806 .879 1.058 1.170 I.30I 1-457 1.648 .885 2.189 2.592 3-184 .40 .701 .760 .827 .902 .988 i. 086 1. 200 1-334 1.495 1.690 .934 2.245 2.658 3.266 3O2 3O1 3OO 299 298 297 296 295 294 293 292 291 29O 289 0.36 2-543 2.246 2.016 1.832 1.681 1.556 1.449 -358 1.279 1.209 I 47 1.092 1.044 I.OOO 37 2.613 2.308 2.072 1.883 1.728 1.599 1.489 -396 i-3i5 1. 2-13 .179 1.124 1.073 1.027 38 2.684 2.371 2.128 1-933 1-775 1.642 1-530 434 1-350 1.276 .211 I.I54 1. 102 1.055 39 2-755 2.433 2.184 1.984 1.821 1.686 1-570 .471 1.386 1.310 .244 I.IS5 1.132 1.083 .40 2.825 2.496 2.240 2.035 1.868 1.729 1.610 509 1.421 1-344 .275 I.2I4 1.160 I. Ill 288 287 286 285 : 284 283 282 281 28O 279 278 277 276 275 0.36 0.960 0.923 0.889 0.857 0.829 0.803 0.778 0.755 0.732 0.713 0.693 0.676 0.659 0.642 37 0.986 0.949 .914 .881 ' .852 .825 799 776 753 -733 .713 -695 .677 .660 38 1.013 0.974 938 .905 .875 .847 .821 797 774 752 732 .713 695 .678 39 1.039 I.OOO .963 .929 j .898 .870 .842 .818 793 773 751 -732 .714 .696 .40 1.066 1.026 .988 957 : -920 .892 .864 .840 .814 792 771 ' -751 732 714 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUE OF THE AZIMUTH CORRECTION, Aa. c rt Between o and 85 and between 275 and 303 VI C Argument : Zenith Distance South. the Correction has the same sign as the Constant ; o U between 315 and o it has the opposite sign. 85 84 83 82 81 8O 79 78 77 76 75 74 73" 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.41 0.590 0.578 0.566 0.558 0-545 0.537 0.525 0.517 0.508 0.500 0.489 0.482 0.474 0.466 .42 .605 592 .580 571 559 .550 533 529 .521 512 .500 494 485 .476 43 .619 .606 593 .585 572 563 550 542 533 .524 513 .506 497 .488 44 634 .620 .607 .598 585 576 563 554 545 536 524 .518 509 .500 45 .648 634 .621 .612 .598 589 576 .567 558 549 537 529 .520 .511 71 70 69 68 67 66 65 64 63 62 61 6O 59 58 0.41 0.458 0.450 0.442 0-435 0.427 0.420 0.414 0.407 0.400 0-393 0.387 0.380 0.374 0.368 .42 .469 .461 453 445 437 430 424 .417 .410 403 396 39 .383 377 43 .480 .472 .464 .456 .448 .441 .434 .426 .420 .412 .406 399 393 .386 44 .491 483 475 .466 458 | .451 ! -444 436 .429 .422 .415 .408 .402 395 45 .502 494 .486 477 .468 .461 .454 .446 439 432 .425 .418 .411 .404 56 54 52 50 48 46 44 42 4O 38 36 34 32 30 0.41 0.356 0-344 0.332 0.320 0.308 ! 0.297 0.286 0.275 0.264 0.253 0.241 0.230 0.219 0.208 42 365 352 340 .328 .316 . 304 . 293 .282 .270 259 247 .236 .224 .213 43 373 .360 348 335 323 .311 . 300 .289 .276 .265 253 .241 .230 .218 44 .382 369 356 3<13 331 319 307 .295 .283 .271 .259 .247 235 .223 45 391 377 364 351 338 .326 314 .302 .289 .277 .265 .252 .240 .228 | 28 26 24 22 2O 18 17 = 16 15 14 13 12 11 10 0.41 o. 196 0.185 0.173 0.161 0.148 0.136 0.129 0.123 0.116 0.109 0.103 0.096 0.089 0.082 .42 .201 .189 177 .165 .152 139 .132 .126 .119 .112 .105 .098 .091 .084 43 .206 .194 .181 .169 .156 .142 135 .129 .122 .115 .108 .101 093 .086 .44 .211 .198 .185 .172 159 .146 139 .132 .124 .117 . no .103 .095 .088 45 .216 .203 .189 .176 .163 .149 .142 '35 .127 .I2O "3 .105 097 .090 9' 8 7 6 5 4 3 2 1 o 359 358 357 356 0.41 0.074 0.067 0.059 0.051 0.043 0.035 0.027 0.018 0.009 o.ooo 0.009 0.018 0.029 0.039 42 .076 .068 .060 .052 .044 | .036 .027 .oiS .OIO .000 .010 .018 .029 .040 43 .078 .070 .062 054 045 .037 .028 .019 .OIO .000 .010 .019 .030 .041 44 .080 .072 .063 055 .046 .037 ! .029 .019 .010 .000 .0:0 .019 .031 .042 45 .081 073 .065 .056 .047 .038 .029 .020 .OIO .000 .OIO .020 .032 043 355 354 353 352 351 35O 349 348 347 346 345 344 343 342 0.41 0.050 0.060 0.072 0.084 0.095 0.108 O.I2I o.i35 0.149 0.164 o. 180 0.197 0.214 0.232 .42 .051 .662 .074 .086 .098 .in .124 .138 153 .168 .184 .201 .219 237 43 .052 .063 075 .088 .100 113 .127 .141 .156 .172 .189 .206 .224 243 44 053 .065 .077 .090 .102 .116 .I3O .145 .160 .176 193 .211 .229 .249 45 .054 .066 .079 .092 .105 .119 .133 .148 .164 .180 .198 .216 234 .254 341 34O 339 338 337 336 335 334 333 332 331 33O 329 328 0.41 0.251 0.271 0.293 0.316 0.340 0.366 0.394 0.423 0.455 0.489 0.528 0.570 0.614 0.664 42 257 .278 .300 323 349 .375 .404 433 .466 501 .541 584 .629 .680 43 263 .285 307 331 357 384 -413 444 477 .513 -554 598 .644 .697 44 .269 .291 314 339 .365 392 .423 454 .488 525 -567 .611 659 713 45 275 .298 .321 346 374 .401 .432 .464 499 537 -580 .625 .674 729 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 0.41 0.718 0-779 0.847 0.924 I.OI2 1.113 .230 1.367 i 532 1-733 1.982 2.301 2.724 3-347 42 735 .798 .868 0.947 1.037 1.140 .260 1.401 1-570 1-775 2.030 2-357 2.791 3-429 43 753 .817 .889 0.969 I.O62 1.167 .290 1-434 1.607 1.817 2.079 2.414 2-857 3-5" 44 .770 .836 .910 0.992 1.086 1.194 .320 1.467 1.644 1.859 2.127 2.470 2.924 3-592 45 .788 855 930 . 1.015 I. Ill I. 212 350 1.501 1.682 1.902 2.175 2. 526 2.990 3-674 3O2 3O1 300 299 298 297 296 295 294 293 292 291 290 289 0.41 2.896 2.558 2.2156 2.086 1.915 1.772 1.650 1.547 1-457 1.378 307 1-245 .190 I-I39 42 2.966 2.620 2.382 2.137 1.961 1.815 1.691 1.585 1.492 1.411 339 1.271 .219 1.166 43 3-037 2.683 2.408 2.188 2.008 1.858 I-73I 1.622 1.528 1-444 370 1.306 .248 1.194 44 3-108 2-745 2.464 2.239 2.055 1.902 1.771 1.660 1.563 1.478 .403 I-33& -277 1.222 45 3.178 2.808 2.520 2.290 2. 1O2 1-9-15 1.811 1.698 1-599 i.gts -435 1.366 .306 1.250 988 287 286 285 284 283 282 281 280 279 278 277 276 275 0.41 1.093 1.051 1. 012 0.976 0.944 0.914 0.886 o.S6o 0.835 0.812 0.790 0.770 0.750 0.731 .42 1.119 1.076 1-037 1. 000 0.967 0.937 .907 .881 855 .832 .808 789 .769 749 43 1.147 1.103 I.O&2 1.024 0.990 0.959 .929 .902 875 .852 .829 .o8 787 .768 44 1.172 1.128 1.086 1.048 1.013 0.981 950 923 .896 .872 .848 .826 .805 .785 45 1.200 I-I54 I. Ill 1.072 1.036 1.004 972 944 .916 .891 .867 .845 1 .824 .803 TABLE OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 33 VALUES OF THE AZIMUTH CORRECTION,^. e 3 t/i Between o and 85 and between 275 and 303 c o Argument: Zenith Distance South. the Correction has the same sign as the Constant ; U between 315 and o it has the opposite sign. 85 84 83 82 81 80 79 78 77 76 75 74 73' 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.46 0.662 0.649 0.635 0.624 0.614 0.602 0.589 0.580 0.570 0.561 0.548 o.54i 0.532 0.523 47 .677 .663 .649 .637 .627 .615 .602 592 583 573 .560 553 543 534 .48 .691 .677 .662 .651 .641 .629 .614 .605 595 .586 572 565 555 546 49 .706 .691 .676 .664 654 .642 .627 .617 .608 .598 584 577 567 557 50 .718 ' .704 .691 .678 .666 .654 .640 .630 .620 .608 598 .588 .578 .568 71 70 69 68 67 66 65 64 63 62 61 CO 59 58 0.46 0.514 0.505 0.496 0.488 ; 0.479 0.471 0.465 0.456 0-449 0.441 0.434 0.427 0.420 0.413 47 525 .516 507 .498 .489 .481 475 .466 459 451 444 436 429 .422 .43 536 527 .518 . 509 . 500 .492 485 .476 .468 .460 453 445 .438 .430 49 547 .538 529 .519 .510 .502 495 .486 .478 .470 463 455 447 439 5 558 549 540 .530 .520 512 505 .496 .488 .480 .472 .464 .456 .448 56 54 52 5O 48 46 44 42 40 38 36 34 32 3O 0.46 0-399 0.385 0-372 0.359 0.346 0.333 0.321 0.309 0.296 0.283 0.270 0.258 0.246 0.233 47 .408 394 .380 367 -353 .340 .328 315 .302 .290 .276 .264 .251 .238 .48 .417 i .402 .388 374 ' -361 .348 -335 .322 309 .296 .282 .269 .256 243 .49 -425 -4H .396 .382 .368 : .355 342 329 315 .302 .288 .275 j .262 .248 .50 .434 .419 .404 39 -377 -362 349 336 .322 .308 .294 .280 .267 254 28 -; 24 22 20 18' 17 16= 15 14 13 12 11 1O 0.46 O.22O 0.207 0.194 0.180 0.166 0.152 0.145 0.138 0.130 0.123 0.115 o.ioS 0.099 0.092 -47 .225 .212 .198 .184 .170 .156 .148 .141 133 .125 .118 .no .101 .094 .48 .230 .216 .202 .188 .174 .159 .151 .144 .136 .128 .120 .112 .104 .096 49 235 .221 .2O6 .192 .177 .162 .154 .147 '39 131 .123 .115 .106 .098 50 .240 .226 .2IO .196 .181 .166 : .158 .150 .142 134 .126 .117 .108 .100 9 8 T 6 5 4 3 2 1 359 358 357 356 0.46 0.083 0.075 0.066 0.058 0.048 0.039 0.030 0.02O O.OII o.ooo O.OII O.O2O 0.032 0.044 47 .085 .077 .068 .059 .049 .040 .O3I .021 .Oil .000 .on j .021 033 045 .48 .087 .078 .069 .060 .050 .041 .031 .021 .on .000 .Oil .021 .034 .046 49 .089 .080 .071 .061 .051 .042 .032 .022 .Oil .OOO .on .022 .034 .047 .50 .090 ! .082 .072 .062 i .052 .043 .033 i .022 .on .000 .on .022 035 .048 355 354 353 352 351 350 349 348 347 346 345 344 343 342 0.46 0.056 0.068 o.oSo 0.094 O.IO7 O.I2I i 0.136 i O.I5I 0.167 0.184 0.2O2 0.22O 0.240 0.260 47 .057 .069 .082 .096 .lOg .124 .139 .155 .171 .188 .2O6 .225 245 .266 .48 .058 .071 .084 .098 .112 .127 .142 .158 .175 i ;iQ2 .211 .230 .250 .271 49 .059 .072 .086 .100 .114 .129 ; .145 .l6l .178 .196 .2ie .235 255 277 .50 .060 .074 .088 .102 .116 .132 .148 .164 .182 .200 .220 .240 .260 .282 341 340 339 338 337 336 335 334 333 332 331 33O 329 328 0.46 0.282 0.304 0.328 0.354 0.382 0.410 0.442 0.475 0.511 0.549 0.593 0.639 0.689 0-745 47 .288 3 -33 .362 .390 .419 452 .485 .522 .561 .606 .653 .704 .761 .48 .294 .318 343 370 .398 .428 .46! 495 533 573 .619 .667 719 .778 49 .300 324 350 377 -407 -437 .471 .506 544 585 .632 .681 734 794 50 .306 .331 357 385 415 -446 .480 .517 555 -597 .645 .695 749 .810 347 326 325 324 323 322' 321 320 319 318 317 316 315 3O3 0.46 0.805 0.874 0.952 .040 1.136 ; 1.249 .380 534 1.719 1.944 2.224 2.582 3-57 3-755 47 .823 .893 0.973 .060 1. 160 ' 1.276 .410 -567 1.756 1.986 2.272 2.638 3.123 3.837 .48 .840 .912 0.993 .082 1.185 1.302 .440 .601 1.794 2.028 2.320 2.694 3.190 3-919 49 .858 931 1.013 .105 I.2IO 1-330 .470 .634 1.831 2.071 2.369 2.750 3.256 4. coo 50 .876 .950 1.034 .128 1.234 1-358 .500 .668 i . 868 2.113 2.417 2.806 3-322 4.082 3O2 3O1 300 299 298 297 296 295 294 293 292 291 290 289 0.46 3-249 2.870 2.576 2.340 2.148 1.988 .852 1.736 1.634 1-545 1.467 1.396 1-334 1.277 47 3.320 2.932 2.632 2.391 2.195 2.031 .892 1.778 1.670 1-579 1.498 1.428 1.363 1-305 48 3-39 2.995 2.688 2.442 2.242 2.075 932 1.811 1.705 i. 612 1.530 1.458 1.392 1-333 49 3-461 3-057 2.744 2.493 2.288 2.118 972 1.849 1.741 1.646 1.562 1.488 1.421 1.361 50 3-532 3.120 2.800 2-544 2-335 2.161 2.012 1.886 1.776 1.680 1.594 1.518 1.450 1.388 888 287 286 285 284 283 282 281 28O 279 278 277 276 275 0.46 1.225 1.179 .127 .095 1.058 1.026 0-994 0.965 0.938 0.911 0.886 0.865 0.842 0.821 47 1.252 1.205 .160 .120 I.oSl 1.048 1.015 0.985 0.957 931 .906 .883 .860 .839 48 1.280 1.231 .185 .143 1.104 1.070 1-037 1.006 0.977 951 .925 .901 .878 -857 49 1.306 1.256 .210 .167 1.127 1.093 1.058 1.028 0.998 .971 944 .920 897 875 50 1-333 1.282 234 .191 1.150 1.115 i. 080 1.048 1.018 .990 964 939 .915 893 -72 APP. I TABLE II. LEVEL. TABLE OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION,^. d Between 315 and 85 the Correction has the same V) a Q ..,,. o ,1 s '8 n as l ' le Constant ; between 275" and 303 it has Argument : Zenith Distance South. opposite sign For reflection observations the U sign is reversed. 85 84 83 82 81 80 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.01 O.OOI O.OOI 0,002 0.002 O.OO2 O.OO2 O.OO2 0.003 0.003 0.003 0.003 0.003 0.004 0.004 .02 .002 .003 .003 .004 .004 .OO5 .OO5 .005 .006 .006 .006 .007 .007 .007 .03 .004 .005 .005 .006 .OO6 .OO7 .OO7 .008 j .009 .009 .010 .010 Ion .Oil .04 .005 .006 .007 .008 .008 .009 .OIO .on ! .on .012 .013 1 .013 .014 .015 .05 .006 .007 .008 .009 .OIO .OI2 [ .OI2 .013 .014 .015 .016 .017 .018 1 .018 71 7O 69 68 67 66 65" 64 63 62 61 6O 58 O.OI 0.004 0.004 0.004 0.004 0.004 0.005 0.005 0.005 0.005 0.005 0.005 ; 0.005 0.005 0.006 .02 .008 .008 .008 .009 .009 .009 .009 .010 .010 .010 | .010 .on .on .011 03 .Oil .012 .012 .013 .013 .014 .014 .014 .015 .015 .016 .016 .016 .017 .04 .015 .016 .016 .017 .018 .018 1 .019 .019 .O2O .O2O ! .O2I .022 .022 .022 .05 .019 .020 .021 .02 1 .022 .023 ; .024 .024 .025 .026 .026 : .027 .027 .028 56 54 52' 5O 48 46 44 42 4O 38 36 34 2 3O O.OI 0.006 0.006 0.006 0.007 0.007 0.007 0.007 0.007 0.008 0.008 o.ooS 0.008 0.008 0.009 .02 .012 .012 .013 .013 .014 .014 .014 .015 .015 .016 .016 .017 .017 .017 03 .018 .018 .019 .020 .020 .021 .022 .022 .023 .024 .024 .025 .026 .026 .04 .023 .024 .025 .026 .027 .028 .029 .030 .031 .032 .032 .033 034 035 .05 .029 .030 .032 033 .034 .035 .036 037 .038 .039 .040 .042 043 .044 28 26 24 22 2O 18 17 16 15 14 13 12 11 1O O.OI 0.009 0.009 0.009 O.OIO O.OIO O.OIO O.OIO O.OIO O.OII O.OII O.OII O.OII O.OII O.OII .02 .018 .018 .019 .019 .020 .020 .021 .021 .021 .021 .022 | .022 .022 .023 .03 .027 .028 .028 .029 .030 .031 .031 .031 .032 .032 .033 .033 33 034 .04 .036 .037 .038 .039 .040 .041 .041 .042 .042 043 .043 .044 045 045 .05 .045 .046 .047 .048 .050 .051 .052 .052 .053 .053 .054 .055 .056 .056 9 8' 7 6' 5 4 3 2 1 O 359 358 357 356 O.OI O.OII O.OII O.OI2 O.OI2 O.OI2 O.OI2 O.O12 0.013 0.013 0.013 0.013 i 0.013 0.013 0.014 .02 .023 .023 .023 .024 .024 .024 .025 .025 .025 .026 .026 .026 .027 .027 .03 .034 035 035 .036 .036 037 .037 .038 .038 .039 .039 .039 .040 .041 .04 .046 .046 .047 .047 .048 .049 .049 .050 .051 .052 .052 .053 .054 055 .05 .057 .058 .058 059 .060 .061 .062 .062 .063 .064 .065 .066 .067 .068 395 354 353 352 351 350 349 348 347 346 345 344 34 O.OI 0.014 0.014 0.014 0.014 0.015 0.015 0.015 0.015 0.016 0.016 0.016 0.017 0.017 0.017 .02 .027 .028 .028 .029 .029 .030 .030 .031 .032 .032 033 033 034 .035 .03 .042 .042 .&43 .044 .044 .045 .046 .047 .048 .048 .0)9 | .050 .051 .052 .04 055 .056 .057 .058 059 .060 .061 .062 .063 .064 .066 .067 .068 .070 .05 .069 .070 .071 .072 .074 075 .076 .078 .079 .080 .082 .084 .085 .087 341 34O 339 338 337 336 335 334 333 332 331 330 329 328 O.OI 0.018 0.018 0.019 0.019 O.O2O O.O20 O.O2I O.O2I O.O22 O.O22 0.023 0.024 0.025 0.026 .02 .036 .036 037 .038 039 .040 .041 .042 .044 045 .046 .048 .050 .052 03 .054 .055 .056 .057 059 .060 .062 .064 .066 .068 .070 .072 075 .078 .04 .071 .073 .075 .076 .078 .08o .082 .084 .087 .090 .093 .096 .100 .104 05 .089 .091 .093 .095 .098 .IOO .IO3 .IO6 .log .112 .116 .120 .125 .130 327 326 325 324 323 322 321 90 319 318 317 316 315 3O3 O.OI 0.027 0.028 0.030 0.031 0.033 0.035 0.037 0.040 0.043 0.047 0.052 0.058 0.066 0.053 .02 054 .056 059 .062 .066 .070 .074 .080 .086 .094 .104 .117 134 .107 03 .081 .085 .089 093 .099 .104 .112 .120 .129 .141 .156 175 .200 .160 .04 .108 .113 .118 .124 .131 139 .149 .160 .172 .188 .208 .232 .267 .213 .05 135 .141 .148 155 .164 174 .I8 5 .199 215 .235 .269 .291 . 332 .265 302 3O1 300 299 298 297 296 295 294 293 292 291 29O 289 O.OI 0.044 0.037 0.032 0.028 0.025 O.O22 O.O2O 0.018 0.016 0.014 0.013 0.012 O.OII O.OIO .02 .089 075 .065 .056 .050 .044 039 035 .032 .029 .026 .023 .021 .019 .03 133 "3 .097 .085 .075 .066 .059 053 .047 043 .039 .035 .032 .029 .04 177 .150 .130 3 .100 .088 .079 .071 .063 .057 .052 .047 .042 .038 .05 .221 .188 .162 .141 .124 .no .098 .088 .079 .071 .064 .058 053 .048 288 287 286 285 284 283 282 281 28O 279 278 277 276 275 O.OI 0.009 0.008 0.007 0.006 0.006 0.005 0.005 0.004 0.004 0.003 0.003 O.OO2 O.002 O.OO2 .02 .017 .016 .015 .013 .on .OIO .009 .008 .007 .006 .005 .005 .004 .003 .03 .026 .023 .021 .019 .017 .015 .014 .012 .Oil .009 .008 .OO7 .006 .005 .04 035 .031 .028 .026 .023 .021 .018 .016 .014 .012 .Oil .009 .008 .006 .05 .043 039 035 .032 .029 .026 .023 .020 .018 .016 .014 ,OI2 .OIO .008 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 37 VALUES OF THE LEVEL CORRECTION, Bb. c Between 315 and 85 the Correction has the same a [A H . ^ !. T^ . o~ u sign as the Constant; between 275 and 303 it has Argument: Zenith Distance South. {h opposi(e sign> F ' or reflection observations the o O sign is reversed. 85 84 83 82 81 8O 79 78' 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.06 0.008 0.009 O.OIO O.OII 0.013 0.014 0.015 0.016 0.017 0.018 0.019 O.O2O O.O2I O.O22 07 .009 .010 .012 .013 .015 .016 .018 .019 .020 .021 .022 .024 .025 .026 .08 .010 .012 .014 .015 .017 .018 .020 .022 .023 .024 .026 .027 .028 .030 .09 .on .013 .015 .017 .019 .021 .022 .024 .026 .027 .029 .030 .032 033 .10 .013 .015 .017 .019 .021 .023 .025 .027 .029 .030 .032 .034 .035 037 71 TO 69 68 67 66 65 64 63 62 61 6O 59 58 0.06 0.023 0.024 0.025 0.026 0.027 0.028 0.028 0.029 0.030 0.031 0.031 0.032 0.033 0.034 .07 .027 ..028 .029 .030 .031 .032 033 034 035 .036 .036 .037 .038 039 .08 .031 .032 033 034 035 .036 .038 039 .040 .041 .042 .043 .044 .045 .09 035 .036 037 39 .040 .041 .042 .044 045 .046 .047 .048. .049 .051 . 10 .038 .040 .041 .043 .044 .046 .047 .048 .050 .051 .052 .054 055 .056 56 54 52 50 48 46 44 42 4O 38 36 34* 32 3O 0.06 0.035 0.036 0.038 0.040 0.041 0.042 0.043 0.044 0.046 0.047 0.049 0.050 0.051 0.053 .07 .041 043 .044 .046 .048 .049 .050 .052 .053 .055 057 .058 .060 .061 .08 .047 .049 .051 .052 .054 .056 .058 .060 .062 .063 .065 .067 .068 .070 .09 .053 055 057 .059 .061 .063 .065 .067 .069 .071 073 075 .077 .079 .10 .058 .061 .063 .066 .068 .070 .072 .074 .077 .079 .081 .083 .085 .088 88* 26 24 22 2O 18 17 16 15 14 13 12 11 10 0.06 0.054 0.055 0.057 0.058 0.059 0.061 0.062 0.063 0.064 0.064 0.065 0.066 0.067 0.068 .07 .063 .064 .066 .068 .069 .071 .072 073 .074 075 .076 .077 .078 .079 .08 .072 .074 .076 .078 .079 .082 .083 .084 .085 .086 .087 .088 .089 .090 .09 .081 .083 .085 .087 .089 .092 .093 094 .095 .096 .097 .099 .100 .101 .10 .090 .092 .094 .097 .099 .102 .103 .104 .106 .107 .108 .no .in .112 9 8 7 6 5 4 3 2 1 O 359 358 357 356 0.06 0.069 0.069 0.070 0.071 0.072 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.080 0.082 .07 .080 .081 .082 .083 .084 .085 .086 .088 .089 .090 .091 093 .094 .095 .08 .091 .092 .094 .095 .096 .098 .099 .100 .102 .103 .104 .106 .107 .109 .09 .103 .104 .105 . 106 .108 .109 .in "3 .114 .116 .117 .119 .120 .122 . IO .114 5 .117 .118 .120 .122 .123 .125 .127 .129 .130 .132 .134 .136 355 354 353 352 351 35O 349 348 347 346 345 344 343 342 0.06 0.083 0.084 0.085 0.087 0.088 0.090 0.091 0.093 0.095 0.097 0.099 O.IOO O.IO2 0.105 .07 .097 .098 .100 .102 .103 .105 .107 .109 .in "3 ."5 .117 ,I2O .122 .08 .no .112 .114 .116 .118 .120 .122 .124 .126 .129 .131 134 .137 .139 .09 .124 .126 .129 131 133 135 137 .140 .142 .145 .148 .151 154 .157 .10 .138 .140 .143 145 .147 .150 .152 155 .158 .161 .164 .167 .171 .174 341 340 339 338 337 336 335 334 333 332 331 33O 329 328 0.06 0.107 0.109 O.II2 0.115 0.117 O. I2O o. 124 0.127 0.131 0.135 0.139 0.144 0.150 0.156 .07 .125 .128 .130 .134 137 .140 .144 .149 153 .158 .163 .168 175 .182 .08 .142 .146 .149 153 157 .160 .165 .170 175 .180 .186 .192 .200 .207 .09 .160 .164 .168 .172 .176 .ISO .186 .191 .197 .203 .209 .2:6 .224 .233 .10 .178 .182 .186 .191 195 .2OO .206 .212 .218 .225 .232 .240 .249 .259 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 0.06 0.162 0.169 0.177 0.186 0.197 0.209 O.222 0.239 0.258 0.202 0.312 0.349 0.399 0.319 .07 .189 .198 .207 .217 .230 .244 .260 .279 .301 .329 .363 .407 .466 372 .08 .216 .226 237 .248 .262 .278 .297 .318 344 376 .415 .465 532 .424 .09 243 .254 .266 279 .295 .313 334 .353 .387 .423 .467 .524 599 477 .10 .270 .282 295 .310 .328 .348 371 .398 .430 .470 .519 .582 .665 .530 3O2 3O1 300 299 298 297 296 295 294 293 292 291 29O 289 0.06 0.266 0.225 0.194 o. 169 0.149 0.132 0.118 0.106 0.095 0.086 0.077 0.070 0.064 0.057 .07 .310 .263 .227 .198 .174 154 .138 .123 .in .100 .090 .082 .0/4 .067 .08 353 .300 259 .226 .199 .176 157 .140 .127 .114 .103 094 .085 .076 .09 .398 338 .291 .254 .224 .198 J77 .159 .142 .129 .116 .105 .095 .086 . IO .442 375 .324 .282 .249 .220 .196 .176 .158 .143 .129 .117 .106 095 288 287 286 285 284 283 282 281 28O 279 278 277 276' 275 0.06 0.052 0.047 0.043 0.038 0.034 0.031 0.028 0.024 O.O22 0.019 0.016 0.014 O.OI2 0.009 .07 .061 .055 .050 .045 .040 .036 .032 .028 .025 .022 .019 .016 .013 .on .08 .070 .063 .057 .051 .046 .041 037 .032 .O2g .025 .022 .018 .015 .012 .09 .078 .070 .064 .058 .051 .046 .041 037 .032 .028 .024 .020 .017 .014 .10 .087 .078 .07: .064 057 .052 .046 .041 .036 .031 .027 .023 Olg .016 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, Bb. in Between 315 and 85 the Correction has the same Q 3 uj ~ . , T-V . 0.1. sign as the Constant ; between 275 and 303 it has Argument: Zen.th D.stance South. , opposUe sign _ ^ reflectio 7 n 5 obscrv 3 at f ons thc O sign is reversed. U 85 84 83 82 81 80 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. O.II 0.014 0.016 0.019 O.02I 0.023 0.025 0.027 0.029 0.031 0.033 0.035 0.037 0.039 0.041 .12 .015 .018 .020 Q23 .025 .028 .030 .032 034 .036 039 .040 .042 .044 13 .016 .019 .022 .025 .027 .030 .032 035 037 039 .042 .044 .046 .048 .14 .018 .021 .024 .Q27 .029 .032 035 037 .040 .042 045 047 .049 .052 15 .019 .Q22 .025 .029 .031 .034 .037 .040 043 .045 .048 .050 053 055 71 7O 69 68 67 66 65 64 63 62 61 60 59 58 O.II 0.042 0.044 0.046 0.047 0.049 0.050 0.052 0.053 0.055 0.056 0.058 0.059 0.060 0.062 .12 .046 .048 .050 .051 053 055 .056 .058 .060 .061 .063 .064 .066 .067 13 .050 .052 .054 .056 .058 059 .061 .063 .065 .066 .068 .070 .071 073 .14 .054 .056 .058 .060 .062 .064 .066 .068 .070 .071 073 075 .077 .079 15 .058 .060 .062 .064 .066 .068 .070 073 .075 .076 .078 .080 .082 .084 56 54 52 50 48 46 44 42 4O 38 36 34 32 3O O.II 0.064 0.067 0.070 0.072 0.075 0.077 0.079 0.082 0.084 0.087 0.089 0.092 0.094 0.096 .12 .070 073 .076 .079 .081 .084 .087 .089 .092 .095 097 .100 IO2 .105 13 .076 .079 .082 .085 .088 .091 .094 .097 .100 .102 .105 .108 III .114 .14 .082 .085 .088 .092 .095 .098 .101 .104 .107 .no "3 .116 120 .123 15 .088 .091 .095 .098 .102 .105 .108 .112 "5 .118 .122 .125 I2S .131 28 26 24 22 2O 18 17 16 15 14 13 12 11 10 O.II 0.099 O.IOI 0.104 0.107 0.109 O.II2 0.113 0.115 0.116 0.118 0.119 O.I2I O.I22 0.124 .12 .108 .in "3 .116 .119 .122 .124 .125 .127 .128 .130 .132 133 135 13 .117 .120 .123 .126 .129 .132 134 .136 137 139 .141 .143 .144 .146 .14 .126 .129 .132 .136 139 143 144 .146 .148 .150 .152 .154 155 157 15 135 .138 .142 145 X49 153 .154 157 .158 .160 163 .I6 5 .166 .169 9 8 7 6 5 4 3 2 1 359 358 357 356 O.II 0.125 0.127 0.129 0.130 0.132 0.134 0.136 0.138 0.139 0.141 0.143 0.145 0.147 0.150 .12 .137 .138 .140 .142 144 .146 .148 .150 152 154 .156 159 .161 .163 13 .148 .15 .152 .154 . I5 6 .158 .160 .162 .164 .167 .169 .172 .174 177 .14 .160 .161 .164 .166 .168 .170 173 175 .177 .180 .182 .185 .188 .191 15 .171 173 .176 .178 .180 .182 .185 .188 .190 193 .196 .198 .201 .204 355 354 353 352 351 350 349 348 347 346 345 344 343 342 O.II 0.152 0.154 0.157 0.159 0.162 0.165 0.168 0.171 0.174 0.177 o. 1 80 0.184 0.188 0.192 .12 .166 .168 .171 .174 177 .180 183 .186 .190 193 .197 .201 .205 .209 13 .179 .182 .185 .188 .191 .195 .198 .202 .205 .209 .213 .217 .222 .226 .14 193 .196 .200 .203 .206 .210 .213 .217 .221 .225 .229 .234 239 .244 .15 .207 .210 .214 .217 .221 .225 .229 .232 .237 .241 .246 .251 .256 .261 341 340 339 338 337 336 335 334 333 332 331 33O 329 328 O.II 0.196 O.2OO 0.205 O.21O 0.215 O.22I 0.227 0.233 0.240 0.248 0.256 0.265 0.274 0.285 .12 .214 .218 .223 .229 234 .241 247 254 .262 .270 279 .289 299 .311 13 .231 .236 .242 .248 254 .26t .268 275 .283 .292 .302 313 324 337 14 .249 255 .260 .267 .274 .281 .288 .296 305 3'5 325 337 349 363 15 .267 273 .279 .286 293 SOI 309 .318 327 338 349 .361 374 389 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 O.II 0.297 0.310 0.325 0.341 0.361 0.382 0.408 0.438 -473 0.516 o.57i 0.640 0.731 0.584 .12 324 .338 354 372 393 .417 445 .478 .516 563 .622 .698 .798 637 13 351 .367 .384 403 .426 452 .482 Si? 559 .610 .674 .756 .864 .690 .14 378 395 .413 434 459 .486 5'9 557 .602 .657 .726 .814 931 743 15 .405 .423 443 465 .492 .521 556 597 .645 .704 .778 .872 997 .796 3O2 3O1 3OO 299 298 297 296 295 294 293 292 291 29O 289 O.II 0.486 0.412 0-355 0.310 0.273 0.242 0.216 0.194 0.174 0.157 0.142 0.128 0.116 0.105 . 12 530 450 387 338 .298 .264 .236 .211 .190 .171 155 .140 .127 "5 13 574 .487 .419 367 323 .286 256 .229 .206 .185 .168 .152 137 .124 .14 .618 .525 452 395 348 309 .276 .246 .222 .200 .181 .163 .148 134 15 .662 .562 484 423 373 331 .295 .264 .237 .214 .194 175 .159 .144 288 287 286 285 284 283 282 281 280 279 278' 277 276 275 O.II 0.095 0.086 0.078 0.070 0.063 0.057 0.051 0.045 o . 039 0.035 0.030 0.025 O.02I 0.017 .12 .104 .094 .085 .077 .069 .062 055 .049 .043 .038 033 .028 .023 .019 13 "3 .102 .092 .083 075 .067 .060 053 .047 .041 035 .030 .025 .020 .14 .121 .110 .099 .089 .080 .072 .064 057 .050 .044 .038 .032 .027 .022 15 .130 .118 .106 .096 .086 .077 .069 .061 054 .047 .041 035 .029 .023 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 39 VALUES OFT HE LEVEL CORRECTION,^. 41 Between 315 and 85 the Correction has the same 1 VI _ ... -,. . r, ., sign as the Constant ; between 275 and 303 it has Argument: Zemth D.stance South. th | opposite ^ ^ reflection \ bserv 3 at ? ons the a o sign is reversed. O 85 84' 83 82 81 8O 79 78' 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.16 O.02O 0.024 0.027 0.030 0.034 0.037 0.040 0.043 0.046 0.048 0.051 0.054 0.056 0.059 17 .O2I .025 .029 .032 .036 039 .042 .045 .049 .051 054 057 .060 .063 .18 .023 .027 .030 .034 .038 .041 045 .048 .051 055 .058 .061 .063 .066 .19 .024 .028 .032 .036 .040 .044 .047 .051 .054 .058 .061 .064 .067 .070 .20 .025 .030 034 .038 .042 .046 .050 053 057 .061 .064 .067 .071 .074 71 7O 69 68 67 66 65 64 63 62 61 6O 59 58 0.16 0.061 0.064 0.066 0.069 0.071 0.072 0.075 0.077 0.080 0.081 0.084 0.086 0.088 0.090 .17 .065 .068 ' .070 .073 .075 .077 .080 .082 .085 .087 .089 .091 093 095 .18 .069 .072 .074 .077 .080 .082 .085 .087 .089 .092 .094 .096 .099 .IOI .19 073 .076 .079 .082 .084 .087 .089 .092 .094 .097 .099 .102 .104 .107 .20 .077 .080 .083 .086 .089 .091 .094 .097 .099 .102 .105 .107 .no .112 56 54 52 50 48 46 44 42 40 38 36 34 32 30 0.16 0.094 0.097 O. IOI 0.105 0.108 O. 112 o. 116 0.119 o. 123 o. 126 0.130 0.133 o.i37 0.140 .17 .099 .103 .107 .in "5 .119 .123 .126 .130 134 .138 .141 MS .149 .18 .105 .109 .114 .118 .122 .126 .130 134 .138 .142 .146 .150 .154 .158 .19 .in .116 .120 .124 .129 133 137 .141 .146 .150 .154 .158 .162 .166 .20 .117 .122 .126 .131 .136 .140 .144 .149 153 .158 .162 .166 .171 175 28 26 24 22 20 18 17 16 15 14 13 12 11 10 0.16 0.144 0.148 0.151 0.155 0.159 0.163 0.165 0.167 0.169 0.171 0.174 0.175 0.178 0.180 .17 153 157 .161 .165 .169 173 175 .177 .179 .182 .184 .186 .189 .191 .18 .162 .166 .170 .174 .179 .183 .185 .188 .190 .193 195 .197 .200 .202 .19 .171 175 .180 .184 .189 .194 .196 .198 .200 .203 .206 .208 .211 .214 .20 .180 .184 .189 .194 .199 .204 .206 .209 .211 .214 .217 .219 .222 .225 9 8 7 6 5 4 3 2 1 O 359 358 357 356* 0.16 0.182 0.185 0.187 0.189 0.192 0.195 0.197 O.2OO O.2O3 0.205 0.209 0.212 0.214 0.218 17 .194 .196 .199 .201 .204 .207 .210 .212 .215 .218 .222 .225 .228 .231 .18 .205 .208 .211 .213 .216 .219 .222 .225 .228 .231 235 .238 .241 .245 .19 .217 .219 .222 .225 .228 .231 234 .238 .240 .244 .248 .251 255 259 .20 .228 .231 .234 237 .240 243 247 .250 253 257 .261 .264 .268 .272 355 354 353 352 351 350 349 348 347 346 345 344 343 342' 0.16 O.22I 0.224 0.228 0.232 0.236 0.240 0.244 0.248 0.253 0.257 0.262 0.268 0.273 0.279 17 .235 .239 .242 .246 .250 255 259 .264 .269 .273 279 .284 .290 .296 .18 .249 253 257 .261 .265 .270 274 .279 .284 .289 .295 .301 307 313 .19 .263 .267 .271 .275 .280 .285 .290 .294 .300 .306 3" .318 324 331 .20 277 .281 .285 .290 .295 .300 305 .310 .316 .322 .328 334 341 348 341 34O 339 338 337 336 335 334 333 332 331 33O 329 328 0.16 0.285 0.291 0.298 0.306 0.313 0.321 0.330 0.339 0.349 0.360 0.372 0.385 0.399 0.415 17 .302 309 .316 325 332 341 350 .360 371 .382 395 .409 424 .440 .18 .320 .328 335 344 352 .361 371 .381 393 .405 .418 433 449 .466 .19 338 346 353 3*3 371 .381 .391 .402 .414 427 442 457 474 492 .20 .356 364 372 .382 39 1 .401 .412 424 436 .450 465 .481 499 .518 327 326 325 324 323 322 321 320 319 318 317 316 315 3O3' 0.16 0.432 0.451 0.472 0.496 0.524 0.556 0-593 0.636 0.688 0.751 0.830 0.931 1.064 0.849 .17 459 479 .502 .528 557 .590 .630 .676 731 .798 0.882 0.989 1.130 0.902 .18 .486 508 531 559 590 .625 .667 .716 774 845 o 934 1.047 1.197 o.955 .19 513 536 .561 59 .623 .660 .704 756 .817 .892 0.986 1.105 1.263 i .008 .20 540 564 .59 .621 .656 695 741 .796 .860 939 1-037 1.163 1.330 1.061 302 301 300 299 298 297 296 295 294 293 292 291 29O 289 0.16 0.707 0.600 0.516 0.452 0.397 o.353 0.315 0.282 0.253 0.228 0.206 0.187 0.169 0.153 17 751 637 548 .480 .422 375 335 299 .269 .242 .219 .198 .180 .163 .18 795 675 .581 .508 447 397 354 317 .285 257 .232 .210 .190 .172 .19 839 .712 .613 536 472 .419 374 334 .301 .271 .245 .222 .201 .182 .20 .883, 750 645 564 497 .441 394 352 317 .285 .258 233 .211 .191 288 287" 286 285 284 283 282 281 280 279 278 277 276 275 o. 16 0.139 0.125 0.113 O.IO2 0.092 0.082 0.074 o . 065 0.057 0.050 0.043 0.037 0.031 0.025 17 .147 133 .120 .109 .098 .088 .078 .069 .061 053 .046 039 033 .027 .18 .156 .141 .127 .115 .103 093 .083 073 .065 057 .049 .042 035 .028 .19 .165 .149 135 .121 .109 .098 .087 .077 .068 .060 .051 .044 037 .030 .20 173 157 .142 .128 .115 .103 .092 .081 .072 .063 054 .046 .039 .031 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, Bb. m Between 315 and 85 the Correction has the c 2 Argument: Zenith Distance South. obse?! c o tions the sign is reversed. O 5 4 83 82 81 8O 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. O.2I 0.026 0.031 0.035 0.040 0.044 0.048 0.052 0.056 0.060 0.064 0.067 0.071 0.074 0.077 .22 .028 033 .037 .042 .046 .051 .055 .059 .063 .067 .071 .074 .078 .081 23 .029 034 .039 044 .048 053 057 .061 .066 .070 .074 .078 .081 .085 .24 .030 .036 .041 .046 .050 055 .060 .064 .069 .073 .077 .081 .085 .089 25 .032 .037 .042 .048 .052 .058 .062 .067 .072 .076 .080 .084 .088 .092 71 7O 69 68 67 66 65 64 63 62 61 60 59 58 O.2I 0.081 0.084 0.087 0.090 0.093 0.096 0.099 O.I02 0.104 0.107 O.IIO 0.113 0.115 0.118 .22 .084 .088 .091 .094 .097 .100 .103 ,IO6 .109 .112 "5 .118 .121 .123 23 .088 .092 .095 .099 .102 .105 .108 .III .114 .117 .120 123 .126 .129 .24 .092 .096 .099 .103 .IO6 .109 "3 .116 .119 .122 .126 .129 .132 135 25 .096 .100 .103 .107 .III .114 .118 .121 .124 .127 131 '34 137 .140 56 54 52 50' 48 46 44 42 40 38 36 34 32 80 O.2I 0.123 0.128 o.i33 0.138 0.142 0.147 0.152 0.156 0.161 0.165 0.170 0.175 0.179 0.184 .22 .129 134 139 .144 .149 154 159 .164 .169 173 .178 .183 .183 193 23 135 .140 145 151 .156 .161 .166 .171 .176 .181 .186 .191 .196 .201 .24 .140 .146 .152 157 163 .168 173 179 .184 .189 .194 .200 .205 .210 25 .146 .152 .158 .164 .170 175 .181 .186 .192 .197 .202 .208 .214 .219 28 26 24 22 2O 18 17 16 15' 14 13 12 11 10 0.21 0.189 0.194 0.198 0.203 0.209 0.214 0.216 0.219 0.221 0.225 0.228 0.230 0.233 0.236 .22 .198 .203 .208 .213 .218 .224 .227 .230 .232 235 239 .241 .244 .247 . -23 .267 .212 .217 .223 .228 .234 237 .240 243 .246 .249 .252 255 .258 .24 .216 .221 .227 .232 238 .244 .247 251 .253 257 .260 .263 .266 .270 25 .225 .230 .236 .242 .248 255 .258 .261 .264 .268 .271 .274 277 .281 9 8 7 6 5 4 3 2 1 359 358 357 356 O.2I 0.239 0.242 0.246 0.249 0.252 0.255 0.259 0.262 O.266 0.270 0.274 0.278 0.281 0.286 .22 .251 .254 257 .260 .264 .267 .271 275 .279 .282 .287 .291 .295 .299 23 .262 .265 .269 .272 .276 279 .284 .288 .29! 295 .300 304 .308 313 .24 274 277 .281 .284 .288 .292 .296 .300 304 308 313 317 .322 .326 25 .285 .289 .292 .296 .300 304 .308 .312 317 .321 .326 330 335 340 355 354' 353 352 351 35O 349 348 347 346 345 344 343 342 O.2I 0.290 0.295 0.299 0.304 0.309 0.315 0.320 0.325 0.332 0.338 0.344 0.351 0.358 0.366 .22 304 309 3'4 319 324 330 335 341 348 354 .361 .368 375 383 23 .318 323 .328 333 339 345 350 356 363 ' 370 377 .385 392 .400 .24 332 337 342 348 354 .360 3&6 372 379 .386 393 .401 .409 .418 25 .346 351 .356 .362 .368 374 .381 .388 395 .402 .410 .418 .426 435 341 34O 339 338 337 336 335 334 333 332 331 330 329 328 O.2I 0-374 0.382 0.391 0.400 0.410 0.421 0-433 0.445 0.458 0.472 0.488 0.505 0.524 0.544 .22 392 .400 .409 .419 430 44i 453 .466 .480 495 511 529 549 570 23 .409 .419 .428 .438 449 46r 474 .487 .502 5'7 534 553 574 596 24 .427 437 .446 457 .469 .481 494 .508 523 540 .558 577 .609 .622 25 445 455 4&5 .476 .488 .501 515 529 545 .562 .581 .601 634 .648 327 326 325 324 323 322 321 320 319 318 317 316 315 303 O.2I 0.567 0.592 0.620 0.652 0.688 0.729 0.778 0.835 0.903 0.986 1.089 I. 221 1.396 1.114 .22 594 .620 .650 .683 .721 .764 .815 875 0.946 1.033 1.141 1.280 1.463 1.167 23 .621 .648 .679 .714 754 .798 .852 .915 0.989 1.080 1.193 1.338 1.529 i. 220 24- .648 .676 .709 745 .787 .833 ..889 955 1.032 1.127 1.245 1.396 1.596 1.273 25 .675 .705 .738 .776 .819 .868 .926 994 1.075 1.174 1.297 1-454 1.662 1.326 3O2 3O1 3OO 299 298 297 296 295 294 293 292 291 29O 289 0.21 0.927 0.787 0.677 0-593 0.522 0.463 0.413 0.370 0.332 0.299 0.271 0.245 O.222 O.2OI .22 0.972 .825 .710 .621 .546 485 433 387 348 314 .284 257 233 .211 23 i.or6 .862 .742 .649 571 507 453 405 364 .328 .297 .268 .243 ,22O 24 i. 060 .900 774 .677 596 529 472 .423 .380 342 .310 .280 254 .230 25 1.104 937 .807 .706 .621 551 .492 .440 .396 356 .322 .292 .264 239 2 287 286 285 284 283 282 281 28O 279 278 277 276 275 O.2I 0.182 0.165 0.149 0.134 O.I2I 0.108 0.097 0.085 0.075 0.066 0.057 0.049 0.041 0.033 .22 .191 .172 .156 .141 .126 i'3 .101 .089 .079 .069 .060 .051 - .042 034 .23 .199 .180 .163 .147 .132 .118 .106 093 .083 .072 .062 053 .044 .036 .24 .208 .188 .170 153 .138 .124 .no .097 .086 075 .065 055 .046 037 25 217 .196 177 .160 .144 .129 "5 . IOI .090 .078 .068 .058 .048 .039 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF LEVEL CORRECTION, Bb. ^ Between 315 and 85 the Correction has the same a W) (- Anriimpnt- /rniili Distinrp Snntli s 'S n as the Constant; between 275 and 303 it has the opposite sign. For reflection observations the o o sign is reversed. 85 84 83 82 81 80 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.26 0.033 0.038 0.044 0.049 0.055 0.060 0.065 0.069 0.074 0.079 0.083 0.088 0.092 0.096 -27 .034 .040 .046 .051 .057 .062 .067 .072 077 .082 .087 .091 .095 .100 .28 .035 .041 .047 053 .059 .064 .070 075 .080 .085 .090 .094 099 .103 .29 .036 .043 .049 .055 .061 .067 .072 077 .083 .088 .093 .098 .102 .107 .30 .038 .044 .051 .057 .063 .069 075 .080 .086 .091 .096 .101 ,IO6 .in 71 70 69 68 67 66 65 64 63 62 61 6O 59 58 0.26 O.IOO o. 104 0.108 O.III 0.115 o. 119 O.I22 0.126 0.129 0.132 0.136 0.140 0.142 0.146 -27 .104 .108 .112 .116 .120 .123 .127 131 134 137 .141 145 .148 .151 .28 .107 .112 .116 .120 .124 .128 .132 .136 139 .142 .146 .150 153 157 29 .III .116 .120 .124 .128 .132 .136 .140 .144 .148 .152 155 .159 .163 .3 .115 .120 .124 .129 .133 137 .141 145 .149 153 '57 .161 .164 .168 56 54 52 50 48 46 44 42 4O 38 36 34 32 3O 0.26 0.152 0.158 0.164 0.170 o. 176 0.182 o.iSS 0.193 0.199 0.205 O.2II 0.216 O.222 0.228 .27 .158 .164 .171 .177 .183 .189 .195 .201 .207 .213 .219 .225 .231 .236 .28 .163 .170 177 .183 .1 .196 .202 .208 .214 .221 .227 233 .239 245 .29 .170 .176 183 . 190 .197 .203 .209 .216 .222 .229 235 .241 .248 -254 .30 .176 .182 . 190 .196 .203 .210 .217 .223 .230 .236 .243 .250 .256 .263 88 26 24 22 20 18 17 16 15 14 13 12 11 1O 0.26 0.234 0.240 0.246 0.252 0.258 0.265 0.268 0.271 0.275 0.278 0.282 0.285 0.289 0.292 .27 243 .249 255 .262 .268 275 .278 .282 .285 .290 293 .296 .300 303 .28 .252 .258 .265 .271 .278 .285 .288 .292 .296 .300 303 307 3" 314 29 .261 .267 274 .281 .288 .295 .299 .302 .306 .310 314 .318 322 .326 .30 .270 277 .284 .291 .298 .306 309 313 317 .321 325 329 333 337 9 8 7 6 5 4 3 2 1 O 359 358 357 356 0.26 0.296 0.300 0.304 0.308 0.312 0.316 0.320 0.325 0.329 0.334 0.339 0-344 0.348 o.354 .27 .308 3" .316 .320 324 .328 333 338 342 347 352 357 .362 -367 .28 .319 323 .328 332 .336 340 345 350 355 .360 365 370 375 .381 29 33t 334 339 343 .348 352 357 .362 .368 373 378 .383 389 395 .30 342 346 351 355 .360 365 370 375 .380 .386 391 397 .402 .408 355 354 353 352 351 350 349 348 347 346 345 344 343 342 0.26 0.359 0.365 0.371 0.377 0.383 0.389 0.396 0.403 0.411 0.418 0.426 0.435 0.444 0-453 .27 373 379 385 391 .398 .404 .411 .418 .427 434 443 .451 .461 .470 .28 .387 393 399 .406 .412 .419 427 434 .442 450 459 .468 .478 .487 .29 .401 .407 .414 .420 .427 434 .442 450 .458 .466 475 .485 495 505 .30 .415 .421 .428 435 .442 449 457 465 474 -482 492 .502 .512 .22 341 :C10 339 338 337 336 335 334 333 332 331 33O 329 328 0.26 0.463 0.473 0.484 0.496 0.508 0.521 0.536 0.551 0.567 0.585 0.604 0.625 0.648 0.674 .27 .480 .491 .502 5'5 527 541 -556 572 .589 .607 .627 649 .673 i .700 .28 .498 .510 521 534 547 .561 577 593 .6:1 .630 .650 673 .698 . .725 .29 .516 .528 539 553 .567 .581 597 .614 .632 .652 .674 .697 723 -751 30 534 .546 558 572 .586 .602 .618 .635 .654 -675 .697 721 748 777 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 0.26 0.702 0.733 0.768 0.807 0.852 0.903 0.964 1-034 i.nS .221 1-349 1.512 1.729 1-379 .27 .729 .761 797 .838 .885 0-937 I.OOI 1.074 1.161 .268 1.400 1.570 1-795 1.432 .28 .758 .789 .827 .869 .918 0.972 1.038 1.114 1.204 315 1-452 1.628 1.862 1.485 .29 .783 .8r 7 .856 .900 952 i. 006 1-075 1.154 1.247 .362 1-504 1.687 1.928 1.538 .30 .810 .846 .886 931 983 1.042 I. 112 I-I93 1.290 .409 I.556 1-745 1.994 1-592 302 301 3OO 299 298 297 296 v 295 294 293 292 291 29O 289 0.26 I.MS 0-975 0.839 0.734 0.646 0-573 0.512 0.458 0.412 o.37i 0-335 0.303 0.275 0.249 .27 1.192 1. 012 .871 .762 .671 595 531 475 .427 -385 .348 3'5 .285 .258 .28 1.236 I.O50 903 790 .696 .617 551 493 443 399 .361 .327 .296 .268 .29 1.281 1.087 935 .818 .721 639 571 .511 459 .414 374 .333 307 .278 .30 1.325 1. 112 .968 .847 .746 .661 .590 529 475 .428 .387 350 3'7 .287 288 287 286 285 284 283 282 281 280 279 278 277 276 275 0.26 0.225 0.204 0.184 o. 166 0.149 0.134 O.I2O 0.106 0.093 0.082 0.070 0.060 0.050 0.041 27 .234 .212 .191 173 155 139 .124 .no .097 .085 073 .062 .052 .042 .28 243 .220 .198 .179 .161 .144 .129 .114 .101 .088 .076 .065 054 .044 .29 251 .227 .205 .185 .166 149 133 .118 .104 .091 079 .067 .056 045 .30 .260 .235 .212 .192 .172 154 .138 .122 .108 .094 .081 .069 .058 .047 -72 APP. I f ABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION,^. _: c Between 315 and 85 the Correction has the 3 t/i C T . i T-.. . c .1 same sign as the Constant ; between 275 and 303 Argument : Zenith D.stance South. ., has t] f e opposite sjgn _ J- O[ reflecti obse 3 rv i o O tions the sign is reversed. 85 84 83 82 81 80 79 78 77 76 75 74 73 72 s. s. s. 8. s. s. s. s. s. s. s. s. s. s. s. 0.31 0.039 0.046 0.052 0.059 0.065 0.071 0.077 0.083 0.089 0.094 0.099 0.104 0.109 0.114 .32 .040 .047 ! .054 .061 .067 .074 .080 .085 .092 .097 .103 .108 .113 .nS 33 .042 .049 .056 .063 .069 .076 .082 .088 094 .too .106 .in .116 . 122 34 043 .050 .057 .065 .071 .078 .085 .091 .097 .103 .109 -US .120 .125 35 .044 .052 059 .066 .074 .080 .087 .093 .too .106 .112 .118 .124 .129 71 70 69 68 67 66 65 64 63 62 61 60 59 58 0.31 0.119 0.124 0.128 0.133 0.137 0.141 0.146 0.150 0.154 0.158 o. 162 0.166 0.170 0.174 32 .123 .128 .132 137 .142 .146 .150 155 159 .163 .167 .172 175 .180 33 .127 .132 137 .142 .146 .150 155 .160 .164 .168 173 177 .181 .185 34 131 .136 .141 .146 151 155 .160 .165 .169 173 .178 .182 .186 .191 35 134 .140 MS .150 155 .160 .164 . 169 174 .178 183 .188 .192 .196 56 54 52 5O 48 46 44 42 4O 38 36 34 32 30 0.31 0.181 0.188 o. 196 0.203 O.2IO 0.217 0.224 0.231 0.238 0.244 0.251 0.258 0.265 0.272 32 .187 194 .202 .210 .217 .224 .231 .238 245 .252 259 .266 273 .280 33 IQ3 .201 .209 .216 .224 .231 .238 .246 253 .2'.O .267 .275 .282 .289 34 .199 .207 215 .223 .231 .238 245 253 .260 .268 275 283 .290 .298 35 .205 .213 .221 .229 237 245 253 .260 .268 .276 .283 .2 9I .299 .3t>7 88 26 24 22 2O 18 17 16 15 14 13 12 11 10 0.31 0.279 0.286 0.293 0.300 0.308 0.316 0.319 0.323 0.327 0.332 0.336 0.340 0-344 0.348 32 .288 295 .302 .310 .318 .326 330 334 338 342 346 351 355 .360 33 297 304 .312 .320 .328 .336 34 344 348 353 357 .362 366 371 34 .306 313 .321 329 338 346 350 354 359 364 .368 372 377 .382 35 315 323 331 339 348 356 .360 365 .369 374 379 .383 388 393 9 8 7 6 5 4 3 2 1 O" 359 358 357 356 0.31 0-353 0.358 0.363 0.367 0.372 0.377 0.382 0.388 0.393 0.398 0.404 0.410 0.415 0.422 32 .365 369 374 379 384 389 394 .400 .406 .411 .417 423 429 435 33 .376 381 .386 391 396 .401 .407 .412 .418 .424 430 436 442 449 34 .388 392 .398 403 .408 4'3 .419 425 431 437 443 .449 456 .463 35 399 .404 .410 4M .420 425 431 438 444 450 .456 .463 .469 .476 355 354 3.53 352 351 35O 349 348 347 348 345 314 313 342 0.31 0.428 0-435 0.442 0.449 o.457 0.464 0.472 0.480 0.490 0.498 0.508 0.518 0.529 0.540 .32 .442 449 456 464 .471 479 .488 .496 .506 515 524 535 .546 557 33 456 463 471 478 .486 494 503 5'2 .522 531 54' 552 -563 575 34 .470 477 485 493 .501 509 .518 527 537 547 557 .568 -580 .592 35 .484 .491 .500 .507 .516 524 533 542 553 563 574 585 i -597 .609 341 340 339 338 337 336 335 334 333 332 331 33O 329 328 0.31 0.552 0.564 0-577 0.591 0.606 0.622 0.639 0.657 0.676 0.697 0.720 0.746 0-773 0.803 32 570 .582 595 .610 .625 .642 659 .678 .698 .720 744 .770 .798 .829 33 587 .600 .614 .629 ' .645 .662 .680 .699 .720 .742 .767 794 823 855 34 .605 .619 632 .648 .664 .682 .700 .720 742 .765 .790 .818 .848 .881 35 .623 .637 6 5 r .667 .684 .702 .721 741 .763 .787 .813 .842 873 .907 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3" 0.31 0.837 0.874 0.915 0.963 .016 1.077 1.149 233 1-333 1.456 i. 608 1.803 2.061 1-645 32 .864 .902 0-945 0-994 .049 I. 112 1.186 .273 I.376 1-503 i. 660 1.861 2.128 1.698 33 .891 .930 0.974 1.025 .082 I.I47 1.223 313 1.419 1-550 1.712 1.919 2.194 I-75I 34 .918 959 1.004 1.056 .114 I.lSl 1.260 353 1.462 1-597 1.764 1-977 2.261 1.804 35 945 .987 1.033 1.087 147 1.216 1.297 392 I.505 1.644 1.815 2.036 2.327 1.857 3O2 301 300 299 298 297 296 295 294 293 292 291 29O 289 0.31 1.369 1.162 I.OOO 0.874 0.770 0.683 0.610 0.546 0.491 0.442 0.400 0.362 0.328 0.297 32 1-413 i. 200 1.032 93 795 .705 .630 564 .507 456 413 373 338 .306 33 1-457 1-237 1.064 931 .820 727 .649 .581 .522 .471 .426 385 349 .316 34 1.501 1.275 1.097 959 .845 .749 .669 599 538 485 439 397 359 325 35 1.546 1.312 1.129 .987 .870 .771 .689 .616 554 499 452 .408 37 335 288 287 286 285 284 283 282 281 28O 279 278 277 276 275 0.31 0.260 0.243 0.219 0.198 0.178 0.160 0.143 0.126 0.1:1 0.097 0.084 0.072 0.060 0.048 .32 277 .251 .227 .204 .184 .165 '47 .130 "5 .100 I .087 074 .062 .050 33 .286 259 234 .211 .189 .170 152 .134 ."3 .104 .c8g .076 .064 .051 34 295 .267 .241 .217 T95 175 .156 .138 .122 .107 .092 .079 .066 053 35 33 274 .248 .224 .201 .180 .161 .142 .126 .110 .095 .081 .068 055 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, lib. jjj Between 315 and 85 the Correction has the l/> c o Argument: Zenith Distance South. ? a . me si nas tlle ; Constant ; between 275 and 303 it has the opposite sign. For reflection observa- u tions the sign is reversed. 85 84 83 82 81 8O 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.36 0.045 0.053 0.061 0.068 0.076 0.083 0.090 0.096 o. 103 o. 109 0.116 O.I2I 0.127 0.133 -37 .047 055 .062 .070 .078 .085 .092 .099 .106 .112 .119 -125 .131 .136 .38 .048 .056 .064 .072 .080 .087 095 .101 . 109 .115 .122 .128 '34 .140 39 .049 .058 .066 .074 .082 .090 .097 .104 .112 .118 125 I3t 138 .144 .40 .050 059 .068 .076 .084 .092 . IOO .107 .114 .121 .128 -135 .141 .148 71 70 69 68 67 66 65 64 63 62 61 6O 59 58 0.36 0.138 0.144 0.149 0.154 0.159 0.164 0.169 0.174 0.179 0.183 0.188 0.193 0.197 O.202 .37 .142 .148 153 159 .164 .169 174 .179 .184 .188 .194 .198 .203 .208 .33 .146 ^152 157 163 .168 173 .179 .184 .189 193 .199 .204 .208 213 39 .150 .156 .161 .167 173 .178 .183 .189 .194 .198 .204 .209 .214 .219 .40 .154 .160 .165 .172 177 .182 .188 .194 .199 .203 .209 .214 .219 .224 56 54 52 50 48 46 44 42 4O 38 36 34 32 3O 0.36 O.2II 0.219 0.228 0.236 0.244 0.252 0.260 0.268 0.276 0.284 0.292 0.300 0.307 0.315 37 .216 .225 234 .242 251 259 .267 .275 .283 .292 .300 309 .316 324 33 .222 .231 .240 .249 .258 .266 .274 .283 .291 299 .308 .316 324 333 39 .228 .237 .246 255 .264 273 .282 .290 299 307 .316 324 333 342 .40 .234 243 -253 .262 .271 .280 .289 .298 .306 3'5 324 333 342 -350 28 26 24 C 22 20 18 17 16 15 14 13 12 11 1O 0.36 0.324 0.332 0.340 0.349 0-357 0.367 0.371 0.375 0.380 0.385 0.390 0-394 0.400 0.405 37 333 341 350 359 .367 377 .381 385 .391 396 .400 405 .411 .416 38 342 350 359 .368 377 387 391 396 .401 407 .411 .416 .422 427 39 351 .360 369 378 .387 397 .402 .406 .412 .417 .422 .427 433 439 .40 .360 369 378 .388 397 .407 .412 417 .423 .428 433 .438 444 .450 9 8 1 6 5 4 3 2 1 O 359 358 357 356 0.36 0.410 0.415 0.421 0.426 0.432 0.437 0.444 0.450 0.456 0.463 0.469 0.476 0.483 0.490 37 .422 427 433 438 444 .449 456 .462 469 475 .482 -489 .496 503 S3 433 438 445 450 456 .461 469 475 .482 .488 495 .502 .509 517 39 .445 450 456 .462 .468 473 .481 .488 494 .501 .508 5i5 523 53t .40 .456 .461 .468 474 .480 .486 493 .500 .507 .514 521 529 536 544 355 354 353 352 351 350 349 348 347 346 345 344 343 342 0.36 0.497 0.505 o.5M 0.522 0.530 0.539 o.549 0.558 0.568 0-579 0.590 0.602 0.614 0.627 37 5" .519 .528 536 545 551 .564 574 584 595 .606 .619 .631 .644 38 .525 533 -542 551 .560 .569 579 589 .600 .6n .623 -635 .648 .662 39 539 547 -556 .565 574 584 594 .604 .616 .627 639 .652 .665 .679 .40 553 .561 570 .580 .589 599 .610 .620 632 .643 .656 .669 .682 .696 - 311 310 339 338 337 336 335 334 333' 332 331 33O 329 328 0.36 0.640 0.655 0.670 0.687 0.703 0.722 0.742 0.762 0.785 0.810 0.837 0.866 0.898 0-933 37 .658 .673 .688 .706 723 742 .762 .784 .807 .832 .860 .890 923 0.959 38 .676 .692 .707 .725 .742 .762 783 .805 .829 855 .883 .914 .948 0.985 39 694 .710 725 744 .762 .782 .803 .826 .851 .877 .906 -938 973 I.OIO .40 .712 .728 744 .763 .782 .802 .824 .847 .873 .902 930 .962 .998 1.036 327 326 325 321 323 322 321 320 319 318 317 316 315 303 0.36 0.972 1.015 1.063 1.118 1.180 1.251 1-334 1.432 1.548 1.691 1.867 2.094 2-394 1.910 37 0.999 1.043 1.092 1.149 1.213 1.286 I-37I 1-472 i-59i 1.738 1.919 2.152 2.460 1.963 38 1.026 1.071 1. 122 1. 1 80 1.245 1.320 1.408 1.512 1-634 1.784 1.971 2.210 2.527 2.016 39 1.053 1.099 i.rsi I. 211 1.278 1-355 1-445 1.552 1.677 1.831 2.023 2.268 2-593 2.069 .40 i. 080 1.128 i.iSi 1.242 1.311 1.390 1.482 1-591 1.720 1.878 2.075 2.326 2.660 2.122 3O2 301 3OO 299 298 297 296 295 294 293 292 291 290 289 0.36 1.590 1.350 1.161 1.016 0.895 0.793 0.708 0.634 0.570 0.513 0.464 0.420 0.380 o.345 3? I.&34 1.367 1.194 1.044 .920 .815 .728 .652 .586 528 477 432 39' 354 .38 1.678 1.425 1.226 1.072 945 .838 748 .669 .602 542 .490 443 .402 364 39 1.722 1.462 1.258 I.IOO .969 .860 .768 .687 .617 556 -503 455 .412 373 .40 1.766 1.500 1.290 1.129 994 .882 .787 705 633 570 .516 .467 423 383 288" 287 286 285 284 283 282 21 280 279 278 277 276 275 0.36 0.312 0.280 0.255 0.230 0.207 0.185 0.166 0.146 o. 129 o. 1 13 0.098 0.083 0.069 0.056 37 .321 .290 .262 .236 .212 .191 .170 .150 -133 .116 .100 .085 .071 .058 38 329 .298 .269 243 .218 .196 175 154 .136 .119 .103 .088 073 059 39 338 .306 .276 .249 .224 .201 179 .158 .140 .122 .106 .690 .075 .061 .40 347 314 .283 .256 .230 .2O6 .184 .162 .144 .126 .108 .092 .077 .062 44 TABLES OK INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, Jib. Between 315 and 85 the Correction has the c n - ..v. TM . c ,1 same sign as the Constant ; between 275 and 303 Argument: Zen.th D.stance South. j( has g^ opposite sign _ ' for rc fl ect [ D n obsc J rv i c tions the sign is reversed. o U i 85" 84' 83 82 81 SO 79 78' 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.41 0.052 0.06 1 0.069 0.078 0.086 0.094 O.I02 o. fog 0.117 0.124 0.132 0.138 0.145 0.151 .42 53 .062 .071 .080 .088 .097 .105 .112 .120 .127 135 .142 .148 .155 43 054 .064 .073 .082 .090 .099 .107 US .123 .130 .138 .145 .152 159 44 .055 .065 074 .084 .092 .101 .110 117 .126 .133 .141 .148 .155 .162 45 057 .067 .076 .086 .094 .104 .112 .120 .129 .136 '44 152 .159 .166 71 7O 69 68 67 66 65 64 63 62 61 6O 59 58 0.41 0.157 0.164 0.170 0.176 0.182 0.187 0.193 0.198 0.204 0.209 0.214 O.22O 0.225 0.230 .42 .161 .168 .174 .180 .186 .192 .197 .203 .209 .214 .220 .225 .230 .236 43 .165 .172 .178 .184 .190 .196 .202 .208 .214 .219 .225 .230 .236 .241 44 . 169 .176 .182 .189 195 .201 .207 .213 .219 .224 .230 .236 .241 .247 45 173 .180 .186 193 .199 .205 .212 .218 .224 .229 235 .241 .247 .252 56 54 52 5O 48 46 44 42 4O 38 36 34 32 30 0.41 0.240 0.249 0.259 0.268 0.278 0.287 0.296 0.305 o.3M 0.323 0.332 0.341 0.350 : 0.359 42 .246 255 .265 275 .285 294 303 .312 .322 331 340 349 359 .368 43 .252 .261 .272 .282 .292 .301 .310 .320 329 339 .348 358 .367 377 44 257 .268 .278 .288 .298 .308 .318 327 337 347 .356 .366 376 .385 45 .263 274 .284 295 .305 .315 .325 335 345 355 .364 374 384 -394 88 26 24 22 2O 18 17 16 15 14 13 12 11 10 0.41 0.369 0.378 0.387 0-397 0.407 0.417 0.422 0.428 0-433 0-439 0.444 0.449 0.455 i 0.461 .42 378 .387 397 .407 .417 .428 433 .438 443 .449 .455 .460 .466 473 43 387 39 6 .406 .417 .427 .438 443 .449 454 .460 .466 .471 477 .484 44 396 .406 .416 .426 437 448 453 459 .465 .471 477 .482 .488 495 45 .405 415 425 436 447 458 .464 .469 475 .482 487 493 .500 .506 9 |8 7 6 5 4 3 2 1 359 358 357 356 0.41 0.467 0.473 0.480 0.485 0.492 0.498 0.506 0.512 0.520 0.527 0.534 0.542 0.550 0.558 .42 479 485 .491 497 504 .510 .518 .525 533 540 547 555 563 571 43 .490 496 .503 .509 .516 .522 530 .538 545 553 .560 .568 .576 .585 44 .502 .508 .515 .521 .528 534 543 .550 .558 .565 373 .582 590 599 45 5'3 519 .526 533 540 547 555 .562 571 578 .586 595 .603 .612 355 354 353 352 351 35O 349 348 347 346 345 344 343 342 0.41 0.567 0-575 0.585 0-594 0.604 0.614 0.625 0.636 0.647 0.659 0.672 0.686 0.699 0.714 42 .580 59 599 .609 .619 .629 .640 .651 .663 675 .688 .702 717 731 43 594 .603 .613 623 633 .644 .655 .666 .679 .691 70S .719 734 749 44 .608 .617 .627 638 .648 .659 .670 .682 .695 .708 .721 736 751 .766 45 .622 .631 .642 .652 .663 .674 .686 .698 .711 .724 73 752 .768 .783 311 34O 339 338 337 336 335 334 333 332 331 33O 329 328 0.41 0.730 0.746 0.763 0.782 0.801 0.822 0.845 0.868 0.894 0.922 0.953 0.986 1.023 i .062 42 .748 .764 .781 .801 .821 .842 .865 .890 .q:6 0.945 0.976 I.OIO 1.047 i. 088 43 765 783 .800 .820 .840 .862 .886 .911 .938 0.967 0-999 1.034 1.072 1.114 44 783 .801 .819 839 .860 .882 .906 932 .960 0.990 1.023 1.058 1.097 1.140 45 .801 .819 837 .858 .879 .902 927 953 .981 I.OI2 1.046 1.082 I. 122 1.166 327 326 325 324 323 322 321 320 319 318 317 316 315 3O3 0.41 1. 107 1.156 .210 273 i-34 1.424 1.519 1.631 1.763 1.925 2.127 2.385 2.726 2.175 .42 1.134 1.184 .240 304 L376 1-459 1-557 1.671 i. 806 1.972 2.179 2.443 2-793 2.228 43 1.161 I. 212 .270 335 .409 1-494 1-594 1.711 1.849 2.019 2.230 2.501 2.859 2.281 44 1.188 1.240 299 366 442 1-528 1.631 1-750 1.892 2.066 2.282 2-559 2.926 2.334 45 1.215 1.269 329 397 475 1-563 1.668 1.790 1-935 2.113 2-334 2.617 2.992 2.387 302 3O1 300 299 298 297 296 295 294 293 292 291 290 289 0.41 1.811 1-537 323 1.157 .019 0.904 0.807 0.722 0.649 0.585 0.529 0.478 0.433 0.392 .42 1.855 1-575 355 1.185 .044 .926 .827 739 .665 599 542 .490 .444 .402 43 1.899 1. 612 .387 1.213 .069 .948 .846 757 .681 .613 555 .502 455 .412 44 1-943 1.650 .420 1.241 093 .970 .866 775 .697 .627 .568 513 .465 .421 45 1.987 1.687 1.452 1.270 .118 -992 .886 .792 .712 .642 .580 525 .476 431 288 287' 286 285 284" 283 282' 281 28O 279 278 277 276 275 0.41 0-355 0.324 0.290 0.262 0.235 O.2II o. 189 o. 166 0.147 0.129 O.III 0.095 0.079 0.064 42 364 329 297 .268 .241 .216 193 .171 .151 .132 .114 .097 .081 .066 43 373 337 304 275 .247 .221 .198 175 .154 135 .117 099 .083 .067 44 38r 345 .312 .281 .253 .227 .202 .179 .158 .138 .119 .102 .085 .069 45 39 353 .319 .288 .258 .232 .207 183 .162 .141 .122 .104 .087 .070 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 45 VALUES OF THE LEVEL CORRECTION,^. Between 315 and 85- the Correction has the a UJ c , ,, ... n . c ,, same sign as the Constant ; between 275 and 303 Argument : Zenith D,,tance South. j( has ^ opposite gign ' For reflecti 7 o 5 n obse 3 ry 3. o U lions the sign is reversed. 5 84 83 82 81 80 79 78 77" 76 75" 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.46 0.058 0.068 0.078 0.087 0.097 0.106 0.115 0.123 0.132 0.139 0.148 o.i55 0.162 0.170 .47 059 .070 .079 .089 .099 .108 .117 125 134 .142 .151 158 .166 .173 .48 .060 .071 .081 .091 .101 .no .119 .128 137 145 154 .162 .169 177 40 .062 073 .083 093 .103 .113 .122 131 .140 .148 157 .165 173 .181 .50 .063 .074 .085 095 .105 "5 .124 134 143 .151 .160 .169 .176 .184 71 7O 69 68 67 66 65 64 63 62 61 6O 59 58 0.46 0.177 0.184 0.190 0.197 0.204 O.2IO 0.216 0.223 0.229 0.234 0.241 0.247 0.252 0.258 47 .180 .188 .195 .201 .208 .214 .221 .227 234 239 .246 .252 .258 .264 .48 .184 .192 .199 .205 .213 .2lg .226 .232 239 .244 251 257 .263 .269 49 .188 .196 .203 .210 .217 .223 .230 .237 .244 .249 .256 .263 .260 275 50 .192 .200 .207 .214 .222 .228 ! .235 .242 249 255 .262 .268 274 .280 56 54 52 50 48' 46 44 42 4O 38 36 34 32 3O 0.46 0.269 0.280 0.291 0.301 0.312 0.322 0.332 0.342 0.352 0.362 0.373 0.383 0.393 0.403 .47 275 .286 297 .308 .319 .329 339 350 .360 370 .381 391 .401 .412 .48 .281 .292 303 314 325 .336 347 357 .368 378 389 399 .410 .420 49 .287 .298 .310 321 332 343 354 .365 375 .386 397 .408 .418 .429 50 .292 .304 .316 .328 339 350 361 372 .383 394 .405 .416 427 438 28 26 24 22 2O 18 17 16 15 14 13 12 11 1O 0.46 0.414 0.424 0-435 0.446 0-457 0.468 0.474 0.480 0.486 0.492 0.498 0.504 0.511 0.517 47 423 433 .444 455 .467 478 484 490 .496 503 509 515 .522 .528 .48 432 443 454 .465 477 .489 494 501 507 514 .520 .526 533 540 49 .441 452 463 475 487 499 505 5" 517 524 531 537 544 551 50 .450 .461 .472 .484 .496 509 515 .522 .528 535 542 548 555 .562 9 8 7 6 5 4 3 2 1 O 359 358 357 356 0.46 0.524 0.531 0.538 0-544 0.552 0-559 0.567 0.575 0.583 0.591 0-599 0.608 0.616 0.626 47 .536 542 .550 556 .564 571 579 .588 596 .604 .612 .621 .630 639 .48 .548 554 .562 .568 .576 583 591 .600 .609 .617 .625 634 643 653 49 559 .565 573 .580 .588 595 .604 .612 .621 .630 638 .648 657 .665 50 570 577 .585 592 .600 .608 .616 .625 634 .642 .652 .661 .670 .680 355 354 353 352 351 350 349 348 347 346 345 344 343 342 0.46 0.636 0.645 0.656 0.667 0.678 0.689 0.701 0.713 0.72) 0.740 0-754 0.769 0.785 0.801 47 .649 659 .670 .681 .692 704 .716 .728 742 756 770 .786 .802 .818 .48 .663 673 .684 695 .707 7'9 731 744 758 772 787 .803 .819 .836 49 .677 .687 .699 .710 .722 734 747 .760 774 .788 .803 .819 .836 853 .50 .6gl .701 7i3 725 -737 749 .762 775 .790 .804 .820 .836 853 .870 341 340 339 338 337 336 335 334 333 332 331 330 329 328 0.46 0.819 0.837 0.856 0.877 0.899 0.922 0.948 0-974 .003 1.035 1.069 1. 106 .147 1.192 47 837 855 875 .896 .918 0.942 0.968 0.995 .025 1.058 1.092 1.130 .172 1.218 .48 854 .874 893 915 938 0.962 0.989 1.007 .047 1.080 1.116 1. 154 .197 1.244 49 .872 .891 .912 935 957 0.982 i.oog 1.028 .069 I. 102 I-I39 1.178 .222 1.270 .50 .890 .910 930 954 977 i. 002 1.030 1.049 .091 I.I25 1.162 1. 202 247 1.296 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 0.46 1.242 1.297 1.358 1.428 1-507 1.598 1-705 1.830 1.978 2. 160 2.386 2.675 3-059 2.440 47 1.269 1.325 1.388 1.459 1.540 1.632 1.742 1.870 2.021 2.207 2.438 2.733 3-125 2-493 .48 1.296 1-353 1.417 1.490 1-573 1.667 1-779 1.909 2.064 2.254 2.490 2.792 3.192 2.546 49 1.323 1.381 1.447 1.521 1. 606 1.702 1.816 1.949 2.107 2.301 2.542 2.850 3.258 2.599 .50 1-350 1.409 1.476 1-552 1.639 1-737 1.853 1.989 2.I5O 2.348 2.594 2.908 3-325 2.652 302 301 300 299 298 297 296 295 294 293 292 291 29O 289 0.46 2.031 1.725 1.483 1.298 1.143 1.014 0.905 0.810 0.728 o.6;6 0.593 0.537 0.486 0.440 47 2.076 1.762 1.516 1.326 1.168 1.036 925 .828 744 .670 .606 548 497 450 .48 2.I2O 1.800 1.548 1.355 I-I93 1.058 945 .845 .760 .684 .619 .560 507 459 49 2.164 1.837 1.580 1-383 1.218 1.080 .964 .863 776 .699 .632 572 .518 .469 5 2.20S 1.876 1.613 1.411 1.243 I.IO2 .984 .880 792 713 .645 584 528 478 2 287 286 285 284 283 282 281 28O 279 278 277 276 275 0.46 0-399 0.361 0.326 0.294 0.264 0.237 O.2I2 0.187 0.165 0.144 o. 125 0.106 0.089 0.072 47 407 368 333 .300 .270 .242 .216 .191 .169 .148 .127 .109 .091 .073 .48 .416 376 .340 307 .276 .247 .221 195 .172 151 .130 .HI 093 075 49 425 384 347 313 .281 .252 225 .199 .176 154 133 "3 .095 .076 .50 434 392 354 .320 .287 .258 ' .230 .203 .180 '57 .136 .116 .096 .078 TABLE III. COLLIMATION. 4 8 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CORRECTION, Cc . c 2 n Between 315 and 85 the Correction has the > Argument: Zenith Distance South. same sign as the Constant; between 275 and 303 it has the opposite sign. 85 84* 83" 82 81 8O 79 78 77 76 75 74 73 72 s. s. 9. s. s. s. s. s. s. s. s. s. s. s. s. O.OI 0.014 O.OI4 0.014 0.014 0.013 0.013 0.013 0.013 0.013 0.013 O.OI2 O.OI2 O.OI2 O.OI2 .02 .029 .028 .028 .027 .027 .026 .026 .026 .025 .025 .025 .024 .024 .024 .03 043 .043 .042 .041 .041 .040 039 039 .038 .038 037 037 .036 .036 o-i .058 .057 .056 .055 054 053 .052 .052 .051 .050 .050 .049 .048 .048 .05 .073 .071 .070 .068 .067 .066 .065 .064 .064 .063 .062 .O6l .060 .ODD 71 70 69 68 67 66 65 64 63 62 61 60 59 58 O.OI O.OI2 O.OI2 O.OI2 O.OII O.OII O.OII O.OII O.OII o.on O.OII O.OII O.OII O.OII O.OII .02 .024 .023 .023 .023 .023 .022 .022 .022 .022 .022 .021 .021 .021 .021 .03 .036 035 035 034 034 .034 034 33 .033 033 033 .032 .032 .032 .04 .047 .047 .046 .046 .045 .045 045 .044 .044 .044 043 043 .043 .042 .05 .059 .058 .058 .057 057 .056 .056 055 055 054 .054 .054 053 053 56 54 52 5O 48 46 44 42' 40 38 36 34 32 3O O.OI O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO O.OIO .02 .021 .021 .021 .020 .020 .020 .020 .020 .020 .020 .020 .020 .020 .020 .03 .032 .031 .031 .031 .031 .030 .030 .030 .030 .030 .030 .030 .030 .030 .04 .042 .041 .041 .041 .041 .040 .040 .040 .040 .040 .040 .040 .040 .040 .05 .052 .052 .051 .051 .051 .050 .050 .050 .050 .050 .050 .050 .050 .051 28 26 24 22 20 18 17 16 15 14 13 12 11 10 O.OI O.OIO O.OIO O.OIO O.OIO O.OIO O.OII O.OII O.OII O.OII O.OII O.OII O.OII O.OII O.OII .02 .020 .020 .021 .021 .021 .021 .021 .022 .022 .022 .022 .022 .023 .023 .03 .031 .031 .031 .031 .032 .032 .032 033 033 .033 033 034 034 .034 .04 .041 .041 .041 .042 .042 .043 .043 043 .044 .044 .045 .045 .045 .046 t>5 .051 .051 .052 .052 053 054 054 054 055 .055 .056 .056 .057 .057 9 8 7 6 5 4 3 2 1 O 359 358 357 356 O.OI O.OI2 O.OI2 O.OI2 O.OI2 O.OI2 O.OI2 O.OI2 O.OI2 0.013 0.013 0.013 0.013 0.013 0.014 .02 .023 .023 .024 .024 .024 .024 .025 .025 .025 .026 .026 .026 .027 .027 03 034 035 035 .036 .036 .036 037 037 .038 039 039 .040 .040 .041 .04 .046 .047 047 .048 .048 .049 .049 .050 051 .051 .052 053 .054 .055 5 .058 .058 .059 .060 .060 .O6l .062 .062 .063 .064 .065 .066 .067 .068 855 354 353 352 351 35O 349 348 347 346 345 344 343 342 O.OI 0.014 0.014 0.014 0.015 0.015 0.015 0.016 0.016 0.016 0.017 0.017 0.017 0.018 0.018 .02 .028 .028 .029 .029 .030 .030 .031 .032 .032 033 034 .035 .036 .037 03 .042 .042 43 .044 .045 .046 .047 .048 .049 .050 .051 .052 054 055 .04 .056 05? .058 .059 .060 .061 .062 .063 .065 .066 .068 .070 .071 073 .05 .069 .070 .072 073 .075 .076 .078 079 .081 .083 .085 .087 .089 .091 341 34O 339 338 337 336 335 334 333 332 331 33O 329 328 O.OI 0.019 0.019 O.02O O.02I O.O2I O.O22 0.023 0.024 0.024 0.025 0.027 0.028 0.029 0.031 .02 .038 .039 .040 .O4I .042 .044 .045 .047 .049 .051 053 .056 .058 .061 .03 .056 .058 .060 .062 .064 .066 .068 .071 .074 .077 .080 .084 .088 .092 .04 75 .077 .080 .083 .085 .088 .091 .095 .098 .102 .107 .in .117 .122 .05 .094 .097 .IOO .103 .106 .HO .114 .118 .122 .127 133 139 .145 153 327 326 325 324 323 322 321 320 319 318 317 316 315 3O3 O.OI 0.032 0.034 0.036 0.038 0.041 0.044 0.048 0.052 0.057 0.063 0.071 0.081 0.094 0.097 .02 .064 .068 .072 .077 .082 .088 .095 .104 .114 .126 .142 .162 .188 .195 03 .097 .102 .108 ."5 .123 133 144 .156 .172 .190 .213 243 .282 293 .04 .129 .136 .144 .154 .164 .177 .191 .208 .228 ' .253 .284 324 377 .390 .05 .161 .170 .180 .192 .205 .220 .238 .260 .285 .316 355 .404 .470 .487 302 3O1 3OO 299" 298 297 296 295 294 293 292 291 290 289 O.OI 0.083 0.073 0.065 0.058 0.053 0.048 0.045 0.042 0.039 0.036 0.034 0.032 0.031 0.029 .02 .167 ,146 .129 .116 .106 097 .090 .083 .078 .073 .068 .065 .062 .059 03 .251 .219 195 .175 .159 .146 135 125 .117 .no .104 .098 093 .088 .04 334 .292 .259 .233 .212 .194 .180 .167 .156 .146 .138 .130 .124 .118 .05 .416 .364 323 .291 .265 243 .224 .208 .195 .183 .172 .163 154 .147 288 287 286 285 284 283 282 281 28O 279 278 277 276 275 O.OI 0.028 0.027 0.026 0.025 0.024 0.023 O.O22 0.021 O.O2I O.020 0.019 0.019 0.018 0.018 .02 .056 .054 .051 .049 .048 .046 .044 043 .041 .O4O 039 .038 037 .036 .03 .084 .081 .077 .074 .071 .069 .067 .064 .062 .060 .059 057 055 054 .04 .112 .107 .103 .099 .095 .092 .089 .086 .083 .08l .078 .076 .074 .072 .05 .140 .134 .128 .123 .119 .114 .110 .107 .103 .IOO .097 095 .092 .090 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 49 VALUES OF THE COLLIMATION CORRECTION, CY. rt e Between 315 and 85 the Correction has the o Argument: Zenith Distance South. same sign as the Constant ; between 275 and 303 it has the opposite sign. 85 84 83 82 81 80 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.06 0.087 0.085 0.084 0.082 o.oSi 0.080 0.079 0.078 0.076 0.075 0.074 0.073 0.073 0.072 .07 .101 .099 .097 .096 .095 .093 .092 .090 .089 .088 .087 .086 .085 .084 .08 ."5 "3 .in .110 .108 .106 .105 .103 .102 .IOO .099 .098 .097 .096 .09 .130 .128 .125 .123 .121 .120 .118 .116 .114 .113 ; .112 .IIO .109 .107 . 10 144 .142 -39 137 135 133 131 .129 .127 125 .124 .122 .121 .119 71 70 69 68 67 66 65 64 63 62 61 6O 59 58 0.06 0.071 0.070 0.070 0.069 0.068 0.067 0.067 0.066 0.066 0.065 0.065 0.064 0.064 0.063 .07 .083 .082 .081 .080 .079 .079 .078 .077 .077 .076 .076 .075 .075 074 .08 .095 .094 .092 .091 .091 .090 .089 .088 .088 .087 .087 .086 .085 .085 .09 .106 .105 .104 .103 .102 .101 .100 .099 .098 .098 .097 .096 .096 .095 . IO .118 .117 .116 .114 .113 .112 .in .no .110 .109 .108 ! .107 .106 .106 56 54 52 50 48 46 44 42 4O 38 36 34 32 30 0.06 0.063 0.062 0.062 0.061 0.061 0.060 0.060 0.060 0.060 0.060 0.060 0.060 0.060 0.061 .07 .073 .072 .072 .071 .071 .071 .070 .070 .O7O ; .070 ! .070 .O7O .070 .071 .08 .084 .083 .082 .082 .081 .081 .080 .080 .080 .080 ; .080 .080 .081 .081 .09 .094 .093 .092 .092 .ogt .091 .090 .090 .090 .090 i .090 .090 ..591 .091 .10 .105 .104 ' .103 .102 .101 .101 .100 .100 .IOO .100 .IOO .100 .101 .101 28 26 24 22 20 18 17 16 15 14 13 12 11 10 0.06 0.061 0.062 0.062 0.063 0.063 0.064 0.065 0.065 0.066 0.066 0.067 0.067 0.068 0.069 .07 .071 .072 .072 .073 .074 i .075 .075 .076 .077 .077 ' .078 .079 .079 .080 .08 .081 .082 .083 .084 .085 .086 .086 .087 .088 .088 .089 .090 .090 .091 .09 .092 .092 .093 .094 .095 .096 .097 .098 .098 .099 .100 .101 .102 .103 .10 .102 .103 .104 .105 .106 .107 .108 .109 .109 .IIO .III .112 113 .114 9 8 7 6 5 4 3 2 1 O 359 358 357 356 0.06 0.069 0.070 0.071 0.072 0.072 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.081 0.082 .07 .081 .082 .082 .083 .084 .085 .086 .088 .089 .090 .091 .093 .094 .096 .08 .092 093 .094 095 .096 .098 .099 .100 .101 .103 .104 .106 .108 .109 .09 .104 .105 .106 .107 .108 .110 .in .113 .114 .116 .117 .119 .121 .123 .10 .115 .116 .118 .119 .I2O .122 .123 .125 .127 .128 .130 .132 134 .136 355 354 353 352 351 350' 349 348 347 346 345 344 343 342 0.06 0.084 0.085 0.086 0.088 0.090 0.091 0.093 0.095 0.097 O.IOO O. IO2 0.104 0.107 O.IIO .07 .097 .099 .101 .102 .104 .107 .109 .in .114 .116 .119 .122 125 .128 .08 .in "3 .115 .117 .119 .122 .124 .127 .130 133 .136 139 143 .147 .09 125 .127 .129 .132 .134 .137 .140 MS .146 .149 153 157 .161 .165 .10 '39 .141 144 .146 .149 .152 155 .159 .162 .166 .170 .174 .178 .183 341 34O 339 338 337 336 335 334 333 332 331 33O 329 328 0.06 0.113 0.116 O.I2O 0.124 0.128 0.132 0.136 0.141 0.147 0.153 0.159 0.167 0.175 0.184 .07 .132 .136 .I4O .144 149 .154 159 .165 .172 .179 ; .186 .195 .204 .214 .08 151 155 .IOO .164 .170 .175 .182 .189 .196 .204 .213 .222 233 244 .09 . 169 .174 .179 .185 .191 .198 .205 .212 .220 .229 239 .250 .262 .275 . IO .188 .194 .199 .206 .212 .220 .227 .236 245 255 .266 .278 .291 .306 327 326 325 324 323 322 321 320 319 318 317 316 315 3O3 0.06 0.193 0.204 0.216 0.231 0.246 0.265 0.286 0.312 0.343 0.380 0.426 0.486 0.564 0.585 .07 .226 .238 .252 .269 .287 .309 334 364 .400 443 497 .566 .659 .682 .08 .258 .272 .288 .307 328 .353 .382 .416 .456 .506 .568 647 753 .780 .09 .290 .306 325 345 369 -397 430 .468 .514 569 639 .728 .847 .877 .10 .322 340 .360 .384 .410 .441 477 519 570 .632 .709 .808 .940 974 302 3O1 300 299 298 297' 296 295 294 293 292 291 29O 289 0.06 0.501 0.438 0.389 0.350 0.318 0.292 0.269 0.250 0.234 0.219 0.207 0.195 0.186 0.177 .07 584 .510 453 .408 371 340 314 .292 .273 .256 .241 .228 .216 .206 .08 .667 .583 518 .466 424 .388 359 333 .312 .292 .276 .261 247 .235 .09 .751 .656 .583 524 477 437 .404 375 350 329 .310 .292 .278 .265 . 10 833 .728 647 .582 529 485 .448 .416 .389 .365 344 325 309 .294 288 287 286 285 284 283 282 281 280 279 278 277 276 275 0.06 0.168 0.161 0.154 0.148 0.143 0.138 0.133 0.12-8 O.I24 O.I2I 0.117 0.114 0.111 0.108 .07 .196 .188 .180 173 .166 .160 155 .150 .145 .141 .137 .132 .129 .126 .08 .224 .215 .206 .198 .190 183 177 .171 .166 .161 .156 : .151 147 144 .09 .252 .241 .232 .222 .214 .206 .199 193 .187 .181 .175 .170 .166 .161 .10 .280 .268 257 .247 .238 .229 .221 .214 .207 .201 .195 .189 .184 1/9 -72 APP. I TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CORRECTION, Cc. c rt Between 315 and 85 the Correction has the n g Argument : Zenith Distance South. same sign as the Constant, between 275 and 303 o u it has the opposite sign. 85 84 83 82 81 8O 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. O.II 0.159 o. 156 0.153 0.151 0.148 0.146 0.144 0.142 0.140 0.138 0.136 0.134 0.133 0.131 .12 173 .170 .167 .164 .162 .159 157 155 .152 150 .149 .147 .145 .143 .13 .187 .184 .181 .178 175 .172 .170 .168 .165 .163 .161 .159 157 155 .14 .202 .198 .195 .192 .189 .186 .183 .180 .178 .176 173 .171 .169 .167 .15 .216 .213 .209 .206 .202 .199 .196 193 .191 .188 .186 .183 .181 179 71 70 69 68 67 66 65 64 63 62 61 6O 59 58 O.II 0.130 0.128 0.127 0.126 0.125 0.124 O.I22 O.I2I O.I2O 0.119 0.119 0.118 0.117 0.116 .12 .142 .140 139 137 .136 135 134 .132 .131 .130 .129 .129 .128 .127 13 153 .152 .150 .149 .147 . 146 .145 .143 .142 .141 .140 .139 .138 .138 .14 .165 .163 .162 .160 .159 157 .156 155 153 152 .151 .150 .149 .148 15 177 175 173 .172 .170 .168 .167 .166 .164 .163 .162 .161 .160 .159 56 54 52 5O 48 46 44 42 10 38 36 34 32 3O O.II 0.115 0.114 0.113 O.II2 O.III O.III O.IIO O.IIO O.IIO O.IIO O.IIO O.IIO O.III O.III .12 .126 .124 .123 .122 .122 .121 .I2O .120 .120 .120 .120 .120 .121 .121 13 .136 135 .133 .132 .132 .131 .131 .130 .130 .130 .130 131 .131 .132 14 .146 M5 .144 143 .142 .141 .141 .140 .140 .140 .140 .141 .141 .142 15 157 '55 .154 153 .152 .151 .151 .150 .150 .150 .150 151 .151 .152 28 26 24 22 2O 18 17 16 15 14 13 12 11 10 O.II O.II2 0.113 0.114 0.115 0.116 0.118 0.119 0.119 O. I2O O.I2I 0.122 0.123 0.125 0.126 .12 .122 .123 .124 .125 .127 .128 .129 .130 131 .132 133 134 .136 137 13 .132 .133 135 .136 137 139 .140 .141 .142 143 145 .146 147 .148 .14 .143 .144 .145 .146 .148 .150 .151 152 153 154 .156 157 .158 .160 15 153 .154 155 157 .158 .160 .162 .163 .164 .I6 5 .I6 7 .168 .170 .171 9 8 * 6 5 4 3 2 1 O 359 358 357 356 O.II 0.127 0.128 0.130 0.131 0.133 0.134 0.136 0.138 0.139 0.141 0.143 0.146 0.148 0.150 .12 .138 .140 .141 143 145 .146 .148 .ISO .152 154 .156 159 .161 .164 .13 .150 .151 153 155 157 .158 .160 .162 .165 .167 .170 .172 175 .177 .14 .162 .163 .165 .167 .169 .171 173 175 177 .180 .183 .185 .188 .191 15 '73 175 177 .179 .181 .183 .185 .188 .190 .193 .196 .198 .202 .205 355 354 353 352 351 35O" 349 348 347 346 345 344 343 342 O.II 0.153 0.155 0.158 0.161 0.164 0.167 0.171 0.174 0.178 0.182 0.187 O.IQI o. 196 O.20I .12 .167 .169 .172 .176 .179 .183 .186 .190 .195 .199 .204 .208 .214 .220 13 .180 .184 .187 .190 .194 .198 .202 .206 .211 .216 .221 .226 .232 .238 M .194 .198 .201 .205 .209 .213 .217 .222 .227 .232 .238 243 .2SO .256 .15 .208 .212 .216 .220 .224 .228 233 .238 243 .249 255 .261 .268 .275 341 340 339 338 337 336 335 334 333 332 331 330 329 328 O.II 0.207 0.213 0.219 0.226 0.234 0.241 0.250 0.259 0.269 0.280 0.292 0.305 0.320 0.336 .12 .226 .232 .239 .247 255 .263 273 .283 .294 .306 319 333 349 .367 '3 245 .252 .259 .267 .276 .285 295 .306 .318 331 345 .361 378 397 .14 .263 .271 .279 .288 .297 307 .318 330 343 357 372 389 .407 .428 .15 .282 .290 .299 .308 .318 329 341 354 .367 .382 399 417 .436 458 347 326 325 324 323 322 321 32O 319 318 317 316 315 303 o.ir 0-354 0-374 0.396 0.422 0.451 0.485 0.524 0.571 0.627 0.695 0.780 0.889 1.034 1.071 .12 .386 .408 433 .460 .492 529 572 .623 .684 758 0.851 0.970 1.128 i . r6g >3 .418 .442 .469 ; .499 533 573 .620 675 .741 .821 0.922 1.051 1.222 1.266 M 451 .476 505 -537 574 .617 .668 727 .798 885 0-993 1.132 I.jl6 1.363 .15 483 .510 541 576 .615 .662 715 779 .855 948 1.064 I. 212 I.4IO 1.461 302 3O1 300 299 298 297 296 295 ' 294 293 292 291 29O 289 O.II 0.916 0.801 0.711 0.640 0.582 0.534 0.493 0.458 0.428 0.402 0.378 0.358 0.340 0.323 .12 I.OOO 0.874 .776 .698 635 .582 .538 .500 .467 438 413 390 371 353 13 1.083 0.947 .841 757 .688 .631 .582 541 .506 475 447 423 .402 .3?2 14 1.166 1.019 .906 .815 .741 .679 .627 .583 545 .5" .482 456 433 .411 .15 1.250 1.092 .970 .873 794 .728 .672 .625 .584 548 .516 .488 .464 .441 288 287 286 285 284 283 282 281 280 279 278 277 276' 275 O.II 0.308 0.295 0.283 0.271 O.26f 0.252 0.243 0.235 0.228 O.22I 0.214 0.208 O.2O2 0.197 .12 .336 .322 .308 .296 .285 275 .265 .256 .248 .241 234 .227 .221 215 13 .364 .348 334 .321 .309 .298 .287 .278 .269 .261 .253 .246 239 233 14 3Q2 375 .360 .346 .332 .321 .309 .299 .290 .281 273 .265 .258 251 15 .420 .402 .386 370 356 344 332 .320 .310 .301 .292 .284 .276 .269 TABLE OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CORRECTION, Cc. c rt Between 315 and 85 the Correction has the c o Argument: Zenith Distance South. same sign as the Cpnstant ; between 275 and 303 U it has the opposite sign. 85 84 83 82 81 80 79 78 77 76 75 74 73' 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.16 0.231 0.227 0.223 0.219 0.216 O.2I2 O.2O9 0.206 0.203 O.2OI 0.198 0.196 0.193 0.191 17 245 .241 .237 .233 .229 .226 .222 .219 .216 .213 .210 .208 .205 .203 .18 .260 255 -251 .247 ; .243 239 -235 .232 .229 .226 .223 .220 .817 215 .19 .274 . 269 . 264 .260 .256 .252 .248 .245 .241 .238 235 .232 .229 .227 .20 .288 ! .283 .278 .274 .270 .265 .261 .258 .254 .251 .248 .244 .242 239 71 70 69 68 67 66 65 64 63 62 61 60 59 58 O.16 0.189 0.187 0.185 0.183 0.181 0.180 0.178 0.177 0.175 0.174 o.i73 0.172 0.170 0.169 17 .201 .199 .197 .194 .193 .191 .189 .188 .186 .185 183 .182 .181 .180 .18 .212 .210 .208 . 206 . 204 .202 I .2OO .199 .197 .196 .194 193 .192 .tgo .19 .224 .222 .220 .217 .215 .213 .212 .210 .208 .207 .205 .204 .202 .201 .20 .236 234 .231 .229 \ .227 .225 .223 .221 .219 .217 .216 .214 .213 .212 56 54 52 5O 48 46 44 42 4O 38 36 34 32 3O 0.16 0.167 o. 1 66 o. 164 0.163 0.162 o. 161 0.161 0.160 0.160 0.160 0.160 0.161 0.161 0.162 .17 .178 .176 175 173 .172 .171 .171 .170 .170 .170 .170 .171 .171 .172 .18 .188 .186 .185 .183 .182 .181 .181 .180 .180 .180 .180 .181 .181 .182 .19 .199 .197 .195 .194 .192 .192 .191 .190 .190 .190 .190 .191 .191 .192 .20 . 209 . 207 .205 . 204 . 203 .202 .201 .200 .200 .200 .200 .201 .201 .202 28" 26' 24 22 20 18 17 16 15 14 13 12 11 1O 0.16 0.163 0.164 0.166 0.167 0.169 0.171 0.172 0.174 0.175 0.176 0.178 0.179 0.181 0.183 17 '73 174 .176 .178 .180 .182 .183 .185 .186 .187 .189 .191 .192 .194 .18 .183 .185 .186 .188 .190 '93 .194 .195 .197 .198 .200 .202 .204 .205 .19 J 93 .195 .197 .199 .201 .203 .205 .206 .208 .209 .211 .213 215 .217 .20 .204 .205 .207 .209 .211 .214 .216 217 .219 .220 .222 .224 .226 .228 9 8 7 6 5 4 3 2 1 O 359 358 357 356 0.16 0.185 0.186 0.188 0.191 0.193 0.195 0.197 O.2OO 0.203 0.206 0.209 0.212 0.215 0.218 17 .196 .198 .200 .202 .205 .207 .210 .212 .215 .218 .222 .225 .228 .232 .18 .208 .210 .212 .214 .217 .219 .222 .225 .228 231 .235 .238 .242 .246 .19 .219 .221 .224 .226 .229 .232 234 .238 .241 244 .248 .251 255 .259 .20 .231 233 .236 .238 .241 .244 247 .250 253 257 .26l .265 .269 .273 355 354 353 352 351 35O 349 348 347 346 345 344 343 342 0.16 0.222 0.226 0.230 0.234 0.239 0.243 0.248 0.254 0.259 0.265 0.272 0.278 0.285 0.293 .17 .236 .240 244 .249 254 259 .264 .270 .276 .282 .288 295 303 .18 .250 254 259 .263 .269 .274 .279 .285 .292 .298 305 3'3 .321 330 .19 .264 .268 273 .278 283 .289 .295 .301 .308 315 .322 330 339 .348 .20 .278 .282 .287 293 .298 .304 .310 317 .324 332 339 348 357 .366 341* 340 339 338 337 336 335 334 333 332 331 33O 329 328 0.16 0.301 0.310 0.319 0.329 0.340 0.351 0.364 0-377 0.392 0.408 0.425 0.444 0.465 0.489 17 .320 329 339 350 .361 373 .386 .401 .416 433 452 472 495 519 .18 339 348 359 370 .382 395 .409 .424 441 .459 .478 .500 524 .550 .19 358 .368 379 391 -403 .417 .432 .448 .465 .484 505 .528 553 .580 .20 376 387 399 .411 .425 439 455 471 .490 .510 531 -555 .582 .611 327 326 325 324 323 322 321 320 319 318' 317 316' 315 303 O.l6 0.515 0-544 0-577 0.614 0.656 0.706 0.763 0.831 0.912 I. Oil I-I35 1.293 1.504 1-558 17 547 .578 .613 .652 .698 750 .811 .882 0.969 1.074 1.206 1-374 1.598 1-655 .18 579 .612 .649 .691 739 794 .858 934 1.026 I-I37 1.277 1-455 1.692 1-753 .19 .611 .646 .685 .729 .780 838 .906 0.986 1.083 I.2OI 1-347 I-536 1.786 1.850 .20 .644 .680 .721 .767 .821 .882 .954 1.038 I.I4O I I.2&4 1.418 1.607 i. 880 1.948 3O2 - 3O1 3OO 299 298 297 296 295 294 293 292 291 290 289 o. 16 1-333 1.165 1.035 0.931 0.846 0.776 0.717 0.666 0.622 0.584 0.550 0.521 0.494 0.470 17 i .416 1.238 I . IOO 0.989 0.899 .825 .762 .708 .661 .621 585 553 525 499 .18 1.500 1.311 1.164 1.048 0.952 .873 .806 750 .700 657 .619 .586 556 529 .19 1.583 1-383 1.229 1. 106 1.005 .922 .851 .791 739 .694 .654 .618 587 558 .20 1.666 1.456 1.294 1.164 1.058 .970 .896 833 .778 .730 .688 .651 .617 .588 288 . 287 286 285 284 283 282 281 280 279' 278' 277 276 275 0.16 0.448 0.429 0.411 0.395 0.380 0.366 0.354 0.342 0.331 0.321 0.312 0.303 -0.294 0.287 17 477 .456 437 .420 .404 .389 -376 363 352 .341 331 .322 .313 305 .18 .505 : .482 .463 444 .428 .412 .398 385 372 .361 350 341 -331 .323 .19 533 ' -509 .488 .469 .451 435 .420 .406 393 .381 370 359 350 341 .20 .561 .536 -514 494 475 458 .442 427 .414 .401 .389 378 -368 359 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CORRECTION, Cc. rt Between 315 and 85 the Correction has the V) C Argument: Zenith D^tance South. same sign as the Constant ; between 275 and 303 o (J it has the opposite sign. 85 84 83 82 81 8O 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. : s. s. O.2I 0.303 0.298 0.292 0.288 0.283 0.279 0.274 0.271 0.267 0.263 0.260 0.257 0.254 0.251 .22 3>7 3'2 .306 .301 297 .292 .288 .284 .280 .276 .272 .269 .266 .263 .23 332 .326 .320 .315 .310 305 .301 .296 .292 .288 .285 .281 .278 -275 .24 .346 340 -334 329 -323 .318 .314 309 .305 ! .301 j .297 .293 .290 .287 25 .360 354 348 342 .337 332 327 .322 .318 .314 .310 . 306 . 302 .298 71 70 69 68 67 66 65 64 63 62 61 6O 59 58" O.2I 0.248 0.245 0.243 0.240 0.238 0.236 0.234 0.232 0.230 0.228 0.227 0.225 0.224 0.222 .22 .260 257 .254 .252 .249 247 245 243 .241 .239 .237 .236 : .234 233 .23 .271 .269 .266 .263 .261 .258 .256 254 .252 .250 .248 .247 j -245 243 .24 .283 .280 277 .275 .272 .270 .267 .265 .263 .261 .259 .258 .256 254 .25 -295 .292 .289 .286 .283 .281 .278 .276 .274 : .272 .270 . 268 . 266 .264 56 54 52 50 48 46 44 42 4O 38 36 34 32 3O O.2I O.22O 0.218 0.216 O.2I4 ! 0.213 O.2I2 O.2II O.2IO O.2IO O.2IO O.2IO 0.2II 0.2H 0.213 .22 .230 .228 .226 .224 i .223 .222 .221 .220 .220 .220 .220 .221 .422 .223 .23 .241 .238 .236 234 -233 .232 .231 .230 .230 .230 .230 .231 .232 233 .24 .251 .249 .246 245 -243 .242 .241 .240 .240 . 240 . 240 .241 | .242 -243 .25 .261 259 257 255 : .253 .252 .2=1 .250 .250 .250 ! .250 .251 .252 -253 j 28 26 24 22 20 18 17 16 15 14 13 12 11 10 O.2I 0.214 0.215 0.217 O.2I9 O.222 0.225 0.226 0.228 0.23O 0.231 0.234 0.235 0.238 0.240 .22 .224 .226 .223 .230 | .233 235 .237 239 .241 .242 245 .247 .249 -251 .23 .234 .236 2 3 8 .240 ; .243 . 246 . 248 .250 .252 253 .256 .258 .260 .263 .24 .244 .246 .248 .251 .254 257 -259 .261 .263 .264 .267 .269 .272 .274 25 254 .256 259 .26l .264 .268 .270 .271 .274 275 .278 .280 ; .283 .285 9 8 7 6 5 4 3 2 1 O 359 358 357 356 O.2I 0.242 0.245 0.247 0.250 0.253 0.256 0.259 0.262 0.266 0.270 0.274 0.278 0.282 0.287 .22 254 .256 259 .262 .265 .268 .271 275 279 .283 .287 .291 j .296 .300 .23 .265 .268 .271 .274 277 .280 .284 .288 .291 .296 .300 304 . 309 314 .24 277 .280 .283 .286 .289 293 .296 .300 304 .308 .313 318 .323 328 25 .288 .291 .294 .298 .301 305 .308 .312 .317 .321 .326 331 .336 341 355 354 353 352 351 350 349 348 347 346 345 344 343 342 O.2I 0.291 0.297 0.302 0.307 0.313 0.319 0.326 0.333 0.340 0.348 0.356 0.365 0.375 0.385 .22 305 .311 .316 .322 .328 335 341 349 357 365 373 383 .392 403 23 319 325 330 337 -343 350 357 365 373 -381 .390 .400 .410 .421 24 333 339 345 351 ! -358 .365 372 .381 389 .398 .407 .417 .428 439 25 347 353 -359 366 .373 .380 j .388 39 6 .405 .414 .424 .435 : .446 458 341 34O 339 338 337 336 335 334 333 332 331 33O 329 328 O.2I 0.395 0.407 0.419 0.431 0.446 0.461 0.477 0.495 0.524 0.535 0.558 0.583 o.6n 0.642 .22 .414 .426 439 .452 .467 .483 .500 .519 549 -561 -585 .611 .640 .672 23 433 445 459 473 .488 505 523 542 .573 . -5S6 .611 .639 .669 703 .24 452 465 479 493 .510 527 .546 .566 .598 , .612 .638 .666 .698 733 25 470 .484 499 .514 531 549 .568 589 .622 .637 i .664 .694 727 .764 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 O.2I 0.676 0.714 0.757 0.806 0.862 0.926 .001 1.090 | 1.197 1.327 .489 1.697 1-974 2.045 .22 .708 743 793 .844 0.903 0.970 .049 1.142 1.254 1.390 .560 1.778 2.068 2.142 .23 .740 .782 .829 .882 0.944 1.014 097 1.194 1.311 1-453 .631 1.859 2.162 2.240 .24 772 .816 .865 .921 0.985 1.058 .144 1.246 1.368 I.5I7 .702 1.940 2.256 2-337 25 .804 .850 .901 959 1.026 I. 102 . 192 1.298 1.425 1.580 773 2.O2I 2.350 2.434 302 301 3OO 299 298 297 296 295 294 293 292 291 290 289 O.2I 1-750 1-539 1-358 .222 i. in 1.019 0.941 0.87.1 0.817 0.767 0.722 0.683 0.648 0.617 .22 1.833 i. 612 1-423 .280 1. 164 1.067 ! 0.986 0.916 .856 .803 757 .716 .679 .646 .23 1.916 1.685 1.488 339 1.217 l. lid 1.030 0.958 .895 .840 .791 -748 .710 .676 .24 1.999 1-757 1-552 397 1.270 1.164 1.075 0.999 934 -876 .826 .781 .741 705 25 2.083 1.840 1.617 457 1.322 1.213 1. 120 1.041 .972 .913 .860 .814 772 734 288 287 286 285 284 283 282 281 280 279 278 277 276 275 O.2I 0.589 0.563 0.540 0.518 0.499 0.481 0.464 0.449 0.434 0.421 0.409 0.397 0.386 0.377 .22 .617 .590 565 543 .522 .504 .486 .470 455 .441 .428 .416 405 394 23 .645 .616 591 .568 546 .527 -508 .492 .476 .461 .448 435 423 .412 .24 .673 .643 .617 592 570 .550 .530 5i3 497 -481 .467 454 442 430 25 .701 .670 .642 .617 594 572 552 534 .517 i -501 .487 473 .460 .448 ' i TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 53 VALUES OF THE COLLIMATION CORRECTION, CV. i Between 315 and 85 the Correction has the same a Argument: Zenith Distance South. sign as the Constant; between 275 and 303 it has o O the opposite sign. 85 84 83 2 81 8O 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.26 0-375 0.368 0.362 0.356 0.350 0.345 0.340 0.335 0.330 0.326 0.322 0.318 0.314 0.310 27 .389 383 -376 .370 .364 358 -353 348 343 339 334 330 .326 323 .28 .404 297 390 384 377 .372 .366 .361 356 351 .347 .342 -338 334 .29 .418 .411 404 397 391 .385 379 374 369 364 -359 354 -350 346 30 .433 .425 .418 .411 404 .398 .392 .387 .381 376 371 367 362 .358 Tl 70 69 68 67 66 65 64 63 62 61 6O 59 58 0.26 0.307 0.304 0.301 .297 0.294 0.292 0.289 0.287 0.285 0.283 0.280 0.279 0.277 0.275 .27 319 315 .312 .309 .306 .303 .301 .298 .296 293 .291 .289 .288 .286 .28 -330- 327 324 .320 .318 .314 .312 309 307 304 .302 .300 .298 .296 .29 342 339 335 332 .329 i .326 323 .320 .318 315 313 3" 309 i .307 30 354 350 347 343 340 | .337 334 331 329 326 .324 .322 .320 .317 56 54 52 50 48 46 44 42 4O M 36 34 32 3O 0.26 0.272 0.269 0.267 0.265 0.264 0.262 0.261 0.261 0.260 0.260 0.260 0.261 0.262 ' 0.263 .27 .282 .280 .277 275 .274 .272 .271 .271 .270 .270 i .270 .271 .272 .273 .28 .293 .290 .288 .285 .284 .282 .281 .28: .280 .2?0 .280 .281 .282 .283 .29 303 .300 .298 .296 294 .292 .291 .291 .290 .2gO .290 .291 .292 .293 .30 3M -311 .308 .306 .304 .302 .301 .301 .300 .300 .300 .301 .302 i .304 28 26 24 22 20 18 17 16 15 14 J 13 12 11 1O 0.26 0.265 0.267 0.269 0.272 0.275 0.278 0.280 0.282 0.284 0.287 0.289 0.291 0.294 0.297 .27 275 277 279 .282 .285 .289 .291 293 295 .298 3co 303 .306 .308 .28 .285 .287 .290 .293 .296 .300 .302 .304 .306 .309 .311 .314 .317 i .320 29 .295 .298 .300 303 .306 .310 .313 315 317 .320 .322 325 .328 .331 .30 305 .308 .310 3'4 317 321 323 .326 .328 331 334 336 340 -343 9 1 6 5 4 3 2 1 O 359 358 357 356 0.26 0.300 0.303 0.306 0.310 0.313 0.317 0.321 0.325 0.329 0.334 0.339 0.344 0.349 0-355 .27 .312 315 .318 .322 325 329 333 338 342 347 352 357 .363 .369 .28 323 .326 330 333 337 341 346 350 355 .360 .365 3/0 .376 .382 .29 335 338 342 345 349 354 358 .362 367 373 378 384 -390 396 30 .346 350 353 357 .361 .366 370 375 .380 .386 391 397 -403 -410 355' 354 353 352 351 350 349 348 347 346 345 344 343 342 0.26 0.361 0.367 0-374 0.381 0.388 0-395 0.404 0.412 0.421 0.431 0.441 0.452 0.464 , 0.476 .27 375 .381 .388 395 403 .411 .419 .428 438 .448 458 .470 .482 494 .28 .389 395 .402 .410 .418 .426 435 444 454 .464 475 .487 .500 513 .29 403 409 .41? 425 .433 .441 450 .460 470 .481 492 .504 .517 .531 30 .416 424 431 439 .448 456 .466 .4/6 .486 497 509 .522 535 -549 341 340 339 338 337 336 335 334 333 332 331 330 329 328" 0.26 0.489 0.503 0.518 0-535 0.552 0.571 0.591 0.613 0.646 0.662 0.691 0.722 0.756 0.794 .27 .508 523 .538 555 573 593 .614 636 .671 .688 .717 750 .785 -825 .28 527 542 558 576 594 .615 .636 .660 .695 .713 -744 778 -815 .855 .29 .546 .56! 578 596 .616 637 .659 .684 .720 739 -771 .805 .844 .886 .30 .565 .581 598 .617 637 658 .682 707 744 .764 . .797 833 .873 .916 327 326 325 324 323 322 321 32O 319 318 317 316 315 303 0.26 0.837 0.884 0.937 0.998 .067 1.147 .240 1-350 1.482 1.643 1-844 2.102 2.444 2.532 .27 .869 O.QlS O.973 1.036 .108 1.191 .287 1.402 1-539 1.706 1.915 2.182 2.538 2.629 .28 .901 0.952 .009 1.074 .149 1-235 335 1-453 1.596 1.769 1.986 2.263 2.632 2.727 .29 933 0.986 045 1.113 .190 1.279 .383 I.505 I.&53 1.833 2.057 2-344 2.726 2.824 30 .965 1.020 .082 1.151 .231 1.323 430 1-557 1.710 1.896 2.I2S 2.425 2.820 2.921 3O2 3O1 3OO 299 298 297 i96 295 294 293 292 291 29O 289 0.26 2.166 1-913 .682 513 375 1.262 .165 1.083 I. Oil 0.950 0.894 0.846 0.803 0.764 27 2.249 1.986 746 571 .428 1.310 .210 1.124 1.050 0.986 0.929 .879 .833 793 .28 2.333 2.059 .811 .630 .481 1-359 .254 1.166 1.089 1.023 0.963 .911 .864 823 .29 2.416 2.131 .876 .688 534 1.407 299 1.208 1.128 1.059 0.998 -944 895 .852 .30 2.499 2.204 .94 .746 .587 1.456 344 1.249 1.167 1.096 1.032 .976 .926 .881 288 287 286 285 284 283 282 281 280 279 278 277 276 275 0.26 0.739 0.697 0.668 0.642 0.618 0-595 0.575 0.556 - 0.538 0.522 i 0.506 0.492 0.478 0.466 27 757 .724 .694 .666 .641 .618 597 577 559 .542 .526 .511 497 .484 .28 785 750 .720 .69: 665 .641 .619 598 579 .562 .545 530 515 502 .29 .813 777 745 .716 .689 .664 .641 .620 .600 .582 .565 549 534 .520 30 .841 .804 771 .740 .712 .687 .663 .641 .621 .602 .584 -568 552 538 54 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CORRECTION, Cc. I Between 315 and 85 the Correction has the same Argument: Zenith Distance South. sign as the Constant; between 275 and 303 it has o the opposite sign. 85 84 83 82 81 8O 79 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.31 0.447 0-439 0.432 0.425 0.417 0.411 0.405 0.400 0.394 0.389 0.384 0.379. 0.374 0.370 32 .461 453 445 438 431 425 .418 .412 .407 .401 .396 .391 .387 .382 33 .476 .468 459 452 445 438 431 425 .419 .414 .409 .403 399 394 34 .490 .482 473 .466 458 .451 444 .438 .432 .426 .421 .415 .411 .406 35 505 .496 .487 .480 472 .464 457 .451 -445 -439 ! -433 -428 423 .418 71 70 69 68 67 66 65 64 63 62' 61 6O 59 58 0.31 0.366 0.362 0.358 0-355 0.352 0.348 0-345 0.342 0.339 i -337 0.334 0.332 0.330 0.328 32 .378 374 370 .366 363 359 356 353 .350 .348 345 -343 341 339 33 .389 385 .381 378 374 371 368 .364 361 -359 -356 -354 -351 349 34 .401 397 393 389 .386 .382 379 375 372 -370 .367 -364 .362 .360 35 .413 ' .409 .405 .400 397 393 ! -39 386 .383 -3So | .378 .375 373 370 56 54 52 50 48 46 44 42 40 38 36 34" 32 30 0.31 0.324 0.321 0.318 0.316 0.314 0.312 0.311 0.311 0.310 0.310 0.310 0.311 0.312 0.314 32 335 332 329 .326 324 .323 .321 .321 .320 .320 .320 .321 .322 324 33 345 342 339 336 334 333 331 33i 330 -330 330 .331 332 334 34 .356 -352 349 346 344 343 341 341 .340 . 340 340 341 342 344 35 .366 .363 359 357 355 353 351 351 350 -350 350 351 352 354 28 26 24 22 20 18 17 16* 15 14 13 12 11 1O 0.31 0.316 0.318 0.321 0.324 0.328 0.332 0-334 0.337 0.339 0.342 0.345 0.348 o.35i 0.354 32 .326 328 331 334 338 342 345 -348 350 i .353 .356 -359 .362 365 33 336 339 342 345 349 353 -356 -358 .361 .364 .367 370 374 377 34 346 349 352 355 359 .364 367 369 372 .375 378 .381 385 .388 35 356 359 .362 .366 370 374 377 .380 .383 -386 389 -39 2 39 .400 9 8 7 6' 5 4 3 2 1 O 359 358 357 356 0.31 0.358 0.361 0.365 0.369 0.374 0.378 0.383 0.388 0.393 0.398 0.404 0.410 0.417 0.423 32 370 373 377 .381 386 39 -395 .400 405 .411 .417 423 430 437 33 .381 .384 389 393 .398 .402 -407 .412 .418 .424 430 437 444 .450 34 392 .396 .401 405 .410 .414 .420 425 431 -437 443 450 457 .464 35 .404 .408 .412 .417 .422 427 -432 438 443 -450 456 463 .470 478 355 354 353 352 351 350 349 348 347 346 345 344 343 342 0.31 0.430 0.438 0.445 0.454 0.463 0.472 0.481 0.492 0.503 0.514 0.526 0-539 0-553 0.568 32 444 452 .460 .468 477 487 497 .508 5'9 531 543 556 571 .586 33 458 .466 474 483 492 .502 512 523 535 547 .560 574 589 .604 34 .472 .480 489 .498 507 .517 -528 539 551 .564 577 .591 .607 .623 35 .486 494 503 .512 .522 532 543 555 .567 .580 594 .609 .624 .641 341 340 339 338 337 336 335 334 333 332 331 330 329 328 0.31 0.583 0.600 0.618 0.637 0.658 0.680 0.705 0.731 0.759 0.790 0.824 0.861 0.902 0-947 32 .602 .620 .638 658 .679 .702 .728 754 .783 .815 .850 .889 0.931 0.978 33 .621 639 .658 .678 .701 .724 750 778 .808 .8 4I 877 .916 0.960 1.008 34 .640 .658 .678 .699 .722 .746 773 .801 .832 .866 93 944 0.989 1.039 35 .659 .678 .698 719 743 .768 .796 .825 857 .892 930 972 1.018 1.069 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 0.31 0.998 1.054 1.118 .189 .272 .367 1.478 1.609 .769 1.959 2.198 2.506 2.914 3.019 32 1.030 1.088 I-J54 .228 3i3 .411 1.526 1.661 .824 2.022 2.269 2.587 3.008 3.116 33 1.062 I. 122 1.190 .266 354 455 1-573 7'3 .881 2.085 2.340 2.667 3.102 3.214 34 1.094 1.156 1.226 305 395 499 1.621 .765 938 2.148 2.411 2.748 3.196 3-3" 35 1.126 I.lgo 1.262 343 436 544 "i . 669 .817 995 2.212 2.482 2.829 3.290 3-408 308 3O1 3OO 299 298 297 296 295 294 293 292 291 290 289 0.31 2.583 2-257 2.005 1.804 1.640 1.504 389 .291 1.206 1.132 1.067 1.008 0-957 0.911 32 2.666 2.330 2.070 1.862 1.693 1-553 434 332 1.245 1.169 I.IOI 1.041 0.988 0.940 33 2.749 2.403 2.134 1.921 1.746 1.601 479 374 1.284 1.205 1. 135 1.074 1.019 0.970 34 2-833 2-475 2-199 1.979 1.799 1.650 524 .416 1.323 1.242 1.170 1.106 1.050 0.999 35 2.916 2.548 2.264 2.037 1.852 1.698 .568 457 i . 362 1.278 1.204 1.139 1.080 1.028 288 287 286 285 284 283 282 281 28O 279 278 277 276 275 0.31 0.869 0.831 0-797 0.765 0.736 0.710 0.689 0.662 0.641 0.622 0.604 0.587 o.57i 0-556 32 .897 .858 .822 .790 .760 .733 .707 .684 .662 .642 .623 .605 589 574 33 925 885 .848 .814 .784 .756 729 705 .683 .662 643 .624 .608 592 34 953 .012 .874 839 .808 ; .770 75i 727 703 .682 .662 643 .626 .610 35 .981 .938 .900 .864 .831 .802 774 .748 .724 .702 .681 .662 .644 .628 I j TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 55 VALUES OF THE COLLIMATION CORRECTION, Cc. 3, VI Between 315 and 85" the Correction has the C o Argument : Zenith Distance South. same sign as the Constant ; between 275 and 303 349 348 347 346 345 344 343 342 0.41 0.569 0.579 0.589 0.600 0.612 0.624 0.636 0.650 0.665 0.680 0.696 ; 0.713 o.73i 0.751 42 583 593 .604 .615 .627 ; .639 .652 .666 .681 .696 .713 -730 749 -769 43 597 .607 .618 i .630 .642 i .654 , .667 .682 .697 713 .730 : .748 .767 -787 44 .611 .621 .632 .644 .656 : .669 .683 . .698 713 730 747 -765 ! -785 .806 45 .625 635 .647 ' .659 .671 .684 , .698 .714 729 .746 .764 .783 .803. .824 341 34O 339 i 338 337 i 336 335 334 333 332 331 33O 329 328 0.41 0.772 0.794 0.818 i 0.843 0.870 0.900 0.932 0.966 .004 1.045 .089 1.139 I-I93 1.253 42 .79 .8 I3 837 .863 .892 | .922 0.955 0.990 .028 1.070 .116 1.166 1.222 1.283 43 '.809 .832 .857 .884 9'3 .944 0.977 1.014 053 1.096 .143 1.194 I.25I 1-314 .44 .828 .852 .877 .904 934 .966 i.ooo 1.037 .077 I. 121 .169 1.222 1.280 1-344 45 .847 .871 .897 925 955 .988 1.023 I.OOI .102 1. 147 .196 1.250 1.309 1-375 . 327 326 325 324 323 322 321 32O 319 318 317 316 315 303 0.41 1-319 1-394 1.478 573 1.682 i. 808 1-955 2.128 2-337 2.591 2.908 3.314 3.854 3-993 42 1.352 1.428 I.5M .612 1.723 1.852 2.003 2.180 2.394 2.654 2-979 3-395 3.948 4.090 43 1.384 1.462 1.550 .650 1.764 1.896 2.050 2.232 2.451 2.717 3.050 3.476 4.042 4.187. 44 1.416 1.496 1.586 .688 1.805 1 . 940 2 . 098 2.284 2.508 2.780 3.I2O 3-557 4.136 4.285 45 1.448 1.530 1.622 .727 1.846 1.984 2.146 2.336 2.565 2.844 3.191 3.637 4.230 4.382 3O2 3O1 300 299 298 297 296 295' 294 293 292 291 29O 289 0.41 3.416 2.985 2.652 2.386 2.169 1.989 1.837 1.707 .560 1.497 1.411 1-334 1.266 1.205 .42 3-499 3-058 2.717 2.444 2.222 2.038 1.882 1.749 634 1-534 1.445 1-367 1.297 1-234 43 3-582 3-131 2.78: 2.503 2.275 2.086 1.927 1.791 .673 1.570 1.480 1.399 1.327 i . 263 44 3.666 3-204 2.846 2.561 2.328 2.135 1-972 1.832 .712 1.607 1.514 1.432 1.358 1.293 45 ; 3-749 3.276 2.911 2.6IQ 2.381 2.183 2.016 1.874 751 I.643 1.548 1.464 1.389 1.322 288 287 286 285 284 283* 282 281 280 279 278 277 276 275 0.41 1.149 1.099 1.054 I.OI2 0.974 0-939 0.906 0.876 0.848 0.822 0.798 0.776 0-755 0.735 .42 1.177 1.126 1.079 1.037 0.998 0.962 .928 .898 .869 843 .818 795 773 753 43 1.205 I.I53 1.105 1.061 I. 021 0.985 .950 .919 .890 863 837 .814 .792 771 .44 1-233 1.180 1.131 i. 086 1.045 1.008 .972 .940 .910 883 .857 .832 .810 .789 45 1.261 1.206 1.157 I. Ill 1.069 1.030 .994 .962 931 903 .876 .851 .828 .807 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 57 VALUES OF THE COLLIMATION CORRECTION, Cc. c a Between 315 and 85 the Correction has the same en Argument: Zenith Distance South. sign as the Constant; between 275 and 303 it has C the opposite sign. O 85 84 83 82 81 80 79' 78 77 76 75 74 73 72 s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.46 0.663 0.652 0.640 0.630 0.620 0.610 0.601 0-593 0.585 0-577 0.569 0.562 0.556 0.549 .47 .678 .666 .054 644 634 .624 .614 .606 597 589 .582 574 .568 .561 .48 .692 .680 .668 .658 .647 -637 .627 .619 .610 .602 594 .587 .580 573 49 .707 .694 .682 ,6 7I .661 .650 .640 .632 .622 .614 .607 599 592 585 50 .721 .708 .696 .685 .674 .664 .654 644 635 .627 .619 .611 .604 597 71 70 69 68 67 66 65 64 63 62 61 6O 59 58 0.46 0-543 0-537 0.532 0.526 0.522 0.517 0.512 0.508 0.504 0.500 0.496 0-493 0.490 0.487 47 555 549 543 533 533 .528 524 .519 515 5n 507 504 .501 497 .48 .566 .561 555 549 544 539 535 530 .526 .522 .518 515 .511 .508 40 578 572 .566 .561 556 550 .546 541 537 533 529 .525 .522 .518 50 590 .584 .578 572 .567 .562 557 552 .548 544 540 536 .532 529 56' 54 52 50 48 46 44 42 40 38 36 34 32 3O 0.46 0.481 0.477 0.472 0.469 0.466 0.464 0.462 0.461 0.460 0.460 0.460 0.462 0.463 0.466 47 .492 .487 483 479 .476 474 472 .471 .470 470 470 .472 473 476 .48 .502 497 493 489 .486 484 .482 .481 .480 .480 .480 .482 483 .486 49 513 508 503 499 .496 494 492 .491 490 490 49 .492 493 .496 .50 523 518 .514 .510 .506 504 .502 .501 .500 .500 .500 .502 .504 .506 28 26' 24 22 2O 18' 17 16 15 14 13 12 11 10 0.46 0.468 0.472 0.476 0.481 0.486 0.492 0.496 0.500 0.503 0.507 0.512 0.516 0.521 0.525 47 .478 .482 .486 .491 497 503 .507 .510 .514 .518 523 527 532 537 .48 .489 .492 497 .502 507 514 517 .521 525 529 534 538 543 .548 49 499 503 507 512 .518 524 528 532 536 540 545 549 555 .560 50 509 5i3 .518 .522 .528 535 539 543 547 551 556 .560 .566 571 9 8 7 6 5 4 3 2 1 359 358 357 356 0.46 o.53i 0.536 0.542 0.548 0-554 0.561 0.568 0.575 0.583 0.591 0.600 0.609 0.618 0.628 47 542 548 554 .560 .566 573 .580 .588 595 .604 .613 .622 .632 .642 .48 554 559 565 572 578 585 .592 .600 .608 .617 .626 635 645 655 49 .565 571 577 584 590 597 .605 .612 .621 .630 639 .648 .659 .669 .50 .577 .583 .589 .596 .603 .610 .617 .625 633 .642 .652 .662 .672 .683 355 354 353 352 351 35O 349 348 347 346 345 344 343 342 0.46 0.638 0.650- 0.661 0.673 0.686 0.700 0.714 0.730 0.746 0.763 0.781 0.800 0.821 0.842 47 .652 .664 675 .688 .701 715 729 745 .762 779 .798 .817 .838 .861 .48 .666 .678 .690 .703 .716 730 745 .761 .778 .796 .8 I5 835 .856 .879 49 .680 .692 .704 717 731 745 .760 777 794 .812 .832 .852 874 .897 50 .694 .706 .718 732 746 .760 .7/6 793 .810 .829 .849 .870 .892 .916 341 340 339 338 337 336 335 334 333 332 331 33O 329 328 0.46 0.866 0.891 0.917 0-945 0-977 I.OIO .046 1.084 .126 1.172 .222 1.277 1.338 1.405 47 .885 .910 937 0.966 0.998 1.032 .068 1.108 151 1.198 .249 1-305 1.367 1.436 .48 90S .929 957 0.986 1.019 1.054 .091 1.131 175 1.223 275 1.333 1.396 1.466 49 .922 949 977 1.007 1.040 1.076 .114 I-I55 .200 1.249 .302 1.361 1-425 1.497 .50 .941 .968 997 1.028 1.062 1.098 .136 1.178 .224 1.274 329 1.389 1.454 1.528 327 326 325 324 323 322 321 32O 319 318 317 316 315 3O3 0.46 .480 564 1.658 1.765 1.887 2.029 2.193 2.388 2.622 2.907 3.262 3-7i8 4-324 4-479 47 .512 598 1.694 1.803 1.928 2-073 2.241 2.440 2.679 2.970 3-333 3-799 4.418 4-577 .48 545 .632 1.730 1.842 1.969 2.117 2.289 2.492 2.736 3-033 3.404 3.880 4-512 4.674 .49 577 .666 1.766 i.SSo 2.OIO 2.161 2.336 2.544 2.793 3.096 3-475 3.961 4.606 4-772 50 .609 .700 1.802 1.918 2.O5I 2.205 2.384 2.596 2.850 3.160 3-540 4.042 4.700 4.869 302 3O1 3OO 299' 298 297 296 295 294 293 292 291 29O 289 0.46 3-832 3-346 2-975 2.677 2-434 2.232 2.061 1.915 1.790 i. 680 583 1.497 1.420 i-35t 47 3.916 3.422 3.040 2-735 2.4&7 2.280 2.106 1-957 1.829 1.716 .617 1-529 1.451 1.381 .48 3-999 3-495 3-105 2.794 2.540 2.329 2.151 1-999 1.868 1-753 .652 1.562 1.482 1.410 49 4.082 3.568 3.169 2.852 2-593 2-377 2.196 2.040 1.907 1.789 .686 1-594 1-513 1.440 50 4.165 3-640 3-234 2.910 2.646 2.426 2.240 2.082 1.946 1.826 .720 1.627 1-544 1.469 288 287 286 285 284 283 282 281 28O 279 278 277 276 275 0.46 .289 1.233 1.182 I.I35 1.093 1-053 1.017 0.983 0.952 0.923 0.896 0.870 0.847 0.825 47 3i7 1.260 1.208 I.IOO 1.116 1.076 1.039 1.004 0.972 0.943 915 .889 .865 .843 .48 345 1.287 1-234 1.185 1.140 1.099 1.061 1.026 o.993 0.963 935 .908 .884 .861 .49 373 1.314 1-259 1.209 1.164 1. 122 1.083 1.047 1.014 0.983 954 .927 .902 879 .50 .402 1.340 1.285 1.234 1.188 I.I44 1.105 1.068 1-034 1.003 974 .946 .920 .896 72 APP. I UNIVERSITY OF CALIFORNIA LIBRARY , UNIVERSITY OF CALIFORNIA LIBRARY BERKELEY Return to desk from which borrowed This book is DUE on the last date stamped below. LD 21-100m-9,'48(B399sl6)476