RESEARCHES IN STELLAR PHOTOMETRY DURING THE YEARS 1894 TO 190(5 MADE CHIEFLY AT THE YERKES OBSERVATORY BY JOHN A. PARKHURST, S. ML, Instructor in Practical Astronomy in the University of Chicago. WASHINGTON, D. C. : Published by the Carnegie Institution of Washington October, 1906 RESEARCHES IN STELLAR PHOTOMETRY DURING THE YEARS 1894 TO 1906 MADE CHIEFLY AT THE YERKES OBSERVATORY BY JOHN A. PARKHURST, S. M., Instructor in Practical Astronomy in the University of Chicago. WASHINGTON, D. C. : Published by the Carnegie Institution of Washington October, 1906 ^ Attron. Deft, CARNEGIE INSTITUTION OF WASHINGTON. PUBLICATION No. )}. DEFT i*- PRESS OF GIBSON BROS., WASHINGTON, D. C. CONTENTS. PAGB Introduction, Plan of work, . i Chapter i. Instruments 5 Chapter 2. 103 T Andromedae, 1 1 Chapter 3. 267 V Andromedae, 31 Chapter 4. 787 W Andromedae, 45 Chapter 5. 4315 R Comas, 59 Chapter 6. 5798 RU Herculis, 73 Chapter 7. 6100 RV Herculis 87 Chapter 8. 6894 S Lyrae, 103 Chapter 9. 7220 S Cygni, 117 Chapter 10. 7269 SX Cygni, 133 Chapter u. 7458 V Delphini 145 Chapter 12. 8518 Z Cassiopeiae, 161 Chapter 13. 8629 Y Cassiopeiae, 175 Chapter 14. General Conclusions, Precision of Measures, Limit of Vision, . . 187 960569 INDEX TO TABLES AND FIGURES. TABLES. List of Variable Stars table i, page Summary of Visual Observations Absorption of Photometer Wedges Limit of Vision of Telescopes J Agreement of Magnitude Results for Standard Stars " " " " Measured " 2, 3, 4, "9, "7, 118, 4 10 10 190 1 88 189 omedae. to o u romedae. to VI \ en 3 fij B M 'H ' K 'C o. _o iopeiap. M o c 1 o E o X W 8 X X o S rt a ! 3 ^ p > >4 O X M 6 o H > * rt rt P) 03 w w > N _** Standard Magnitude Stars. -J ~g^ 5 ii 15 32 24 46 33 59 43 73 52 87 61 103 70 117 80 8 9 146 99 161 108 175 Comparison Stars in B. D. (table 6 16 25 34 44 53 62 71 81 9 IOO 109 Catalogue ^ page 12 ""2 46 60 74 87 1 04 117 I -37 146 161 176 Notation, Positions, and (table 7 17 T 1 26 35 / T^ 45 / 54 Vf 63 72 * OO 82 * 1* 91 IOI no Magnitudes of Compar- < ison Stars . (page I 2 32 4.7 60 74 88 IO4 118 I "^4 147 162 176 Photometer Measures of J table 8 O"* 18 27 36 / *T 46 55 6 4 73 83 92 102 * / v III Comparison Stars .... i page I "I JA 60 88 118 148 162 177 Constants for Reduction (table 1 3 9 Of 19 28 37 47 56 65 74 8 4 lf.VJ 93 * / / 112 and Comparison with -.' Catalogue Magnitudes. . (page '7 37 51 64 78 92 1 08 122 138 15' 1 66 1 80 Mean Magnitudes of Com- (table IO 20 29 38 48 57 66 75 85 94 104 "3 parison Stars "< page 18 -,8 7O Q-l IOO 124 152 168 181 Visual Observations of the (table ii 3^ 21 30 39 / y 49 :7J 58 67 * T^ 76 86 95 105 114 Variable * page 20 Q 66 81 QC I IO I J.O T C 7 T 60 182 Mean Magnitudes of the (table Variable from Grouped < 12 22 31 40 50 yo 59 68 77 !*(.!_ 87 A OO 96 **ry 106 "5 Observations (page 26 42 s6 7O 8s IOO 114 129 143 157 172 185 Observed Maxima and f table 13 T" 23 32 / 41 J 51 60 78 88 98 107 116 Minima \ page 27 ^6 71 86 1 02 116 I IO 144 1 60 173 jg r Measures by other Obser- (table * / / * 42 3 79 4 *T*T 97 vers 1 page 28 71 I ^O I QQ / * * o * Jy FIGURES. Photographic Chart opposite page 12 32 47 60 74 88 104 118 134 I 147 162 176 Magnitude-Curve . J %' 4 24 7 33 IO 13 6 4 16 80 '9 94 22 1 08 25 123 28 "38 31 IS' 34 167 37 1 80 (page Light-Curve . - + 26 48 9-4 o 16 10 + 26 12.1 b 4- 26 42 % 8.1 o 14 27 4-26 23.4 Table 6. As a few of the brighter comparison stars are not within the limits of the photographic charts, Table 6 gives the B. D. numbers, magnitudes, and places for 1,855 of the stars in that catalogue not in Table 5. TABLE 7. COMPARISON STARS FOR T ANDROMED-B (IN ORDER OF RIGHT ASCENSION). Star. Coordinates from Variable. Light Scale, Steps. Magnitude. R. A. Dec. Measured. From Curve. H. P. H. P. // s // d 1017 -74.0 - 30 34-7 9.12 9.20 q - 770 -56.1 4- 41 H-3 12.2 is. 3 a - 698 -50.8 122 42.0 7.98 8^06 P - 679 -49.4 + 19 15-3 12. I 12.2 n - 617 -44-9 -297 17.1 II. 8 II.9 - 55 40.0 -173 16.3 II.9 12. s - 411 -29.9 -873 25.6 10.32 10.40 r - 389 -28.3 + 8 5 10.3 12.8 12.9 b - 316 -23.0 + 690 39-0 's: 7 2 8.80 h 290 21 . I - 23 18.9 II-5-i II .62 I - 259 -18.9 690 26.5 10.15 10.23 y - 85 - 6.2 4- 44 14.40 14.48 X 21 - i-5 4-174 IO.O 13.12 13.20 w 4- 30 4- 2.2 4-103 13-68 13-76 u + 33 4- 2.4 4-226 13.22 13 30 z 4- 108 + 7.9 4- 62 14.08 14. 16 m + 157 4-11.4 4-8oo 20.5 11.28 11.36 t 4- 196 + 14-3 4-420 12.3 11.66 11.74 k 4- 227 4-16.5 4-io6 14-3 11.85 11-93 e + 793 + 57-7 + 659 30-7 10. 20 10.28 c + 835 4-60.8 + 394 33.6 9-5i 9-59 } 4-1125 4-81.9 4-n8 29.5 9-97 10.05 Table 7 collects the data for position and magnitude of all the comparison stars used. The second and fourth columns give the rectangular coordinates from the variable in seconds of arc; the third column expresses the R. A. coordinate STELLAR PHOTOMETRY. N om PLATE 2. +20' .ei j tu Xa W. z y df a,e nt So + 10' 10' Scale, i mm= 13. "7. 1903 February 1 6. 103 T ANDROMEDvE. R. A. o h i7n IQS.O. Dec. +26 26' 27", 1900. CHAPTER II. T ANDROMEDA. in seconds of time. The fifth column gives the brightness of the star in steps of the light-scale, which result from the observations in Table n, and will be explained in that connection. The last four columns give the magnitude, either "measured" with the photometer or read from the magnitude-curve (fig. 4). In each case the heading "H." indicates the Harvard, and "P." the Potsdam system. 1 The adopted values for stars measured with both 6- and 12 -inch are taken from the 1 2-inch. TABLE 8. 103 T ANDROMEDA. PHOTOMETER MEASURES OF COMPARISON STARS. 6-INCH. 1904 October 15. Fair to good, quiet, a little dull. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m I OI i 24 o 20 22 c e b d a I s A B B A I a d b e c 26.7 27.3 27.1 38.8 39.0 38.1 22.6 24 2 23.0 24.2 26.2 26.3 15.7 16.3 16.4 34-8 35-2 36.0 36.8 36.7 36.3 13.8 14.0 13.9 13. I 12.2 13.2 12.9 13.7 12.8 15.1 14.0 14.0 36.1 35-9 36.3 16.5 17.2 17.2 25.3 26.4 26.9 25.8 25.8 25.1 36.1 37.2 36.7 28.3 27.8 28.5 27.03 38.63 23.27 25-57 16.13 35-33 36.60 13-90 12.83 I3-I3 14.70 36. io 16.97 26.20 25-57 36.67 28.20 27.62 37-65 24.42 25.89 16.55 35-72 14-30 12.98 2.41 3-62 2.07 2.23 1.16 3-42 3-52 0.84 0.63 9.22 10.43 8.88 9.04 7-97 10.23 10-33 7-65 7-44 9-30 10.51 8.96 9.12 8.05 10.31 10.41 7-73 7-52 1904 October 27. Fine, moon rising at end. 31 36 21 57 37 34 B A s I a d b e c c e b d a 1 A B 9-7 io. i 95 11.7 11.9 ii .8 32.0 31.9 31.8 32-8 33-4 33-4 13.0 14.7 14.2 25. i 25.8 25.0 21 .0 21 .2 21.4 30-9 31-3 32-1 24.0 25.2 25.0 25-5 25.9 25.3 32.5 31.6 31.9 19.4 20. 6 19.8 23.2 23.3 24.5 14.2 13.6 13.3 32.0 33.3 33.0 II .2 lO.g II. I 9.8 II. 2 IO.7 9-77 11.80 31.90 33-20 13 97 25-30 21 . 2O 31-43 24-73 25-57 32.00 19 93 23-67 13-70 32-77 ii .07 10-57 io. 17 11.44 0.30 0.44 2.92 3-05 0.76 2.08 1.66 2.89 2-15 7-49 7-63 IO. II io. 24 7-95 9-27 8-85 10.08 9-34 7-57 7-7' io. 19 10.32 8.03 9-35 8-93 io. 16 9-42 32.99 13-84 24.49 20.57 3i-72 25-15 'The letters "H. C. O." and "P. DM" indicate that the magnitudes are taken directly from the respective catalogues. The letters "H." and "P. "indicate measurements by the writer, expressed in the corresponding systems. RESEARCHES IN STELLAR PHOTOMETRY. TABLE 8. 103 T ANDROMED* Continued. 1904 October 30. Good- Sidereal Time. h m 21 OO 21 24 Zen. Dist. Star. Scale Readings. Mean Scale Readings.; C. Magnitude. Mean of 3. Mean of 6. H. P. O 44 40 B A s L a d b e c c e b d a I A B 11.7 11.4 ii .6 ii. o ii. 6 ii. i 35.0 36.0 35.3 32-9 33-8 33.1 14.7 14.6 14.5 25.8 25.8 25.1 18.8 19.2 19.0 34.0 34.0 34.1 26.5 26.2 27.1 26.8 26.3 26.9 33-0 33-3 33-3 21.3 20.7 21.3 26.0 26. 7 26.0 14.9 15.4 14.4 33-1 33- 33-o ii. 6 ii. 8 ii. i 9.8 10.2 10.2 "57 11-23 35-43 33-27 14.60 25-57 19.00 34-03 26.60 26.67 33-20 21 . IO 26.23 14.90 33 03 11.50 10.07 10.82 ".37 33-15 14-75 25-95 20.05 33-62 26.64 0-37 0-43 3-39 3-07 0.90 2.24 '59 3.13 2.30 7-49 7-55 10. 51 TO. 19 8.02 9.36 8. 7 I 10.25 9.42 7-57 7.63 10.59 10. 27 8. 10 9-44 8.79 10-33 9 50 1904 September n. 12-INCH. Good. 20 23 20 48 49 45 d b e c t k X I I X k t c e b d 15. i 14.8 16.0 ii .9 12.3 12.4 23.5 24.8 23.9 17.3 18.0 17.5 39-7 39-9 4-0 39.2 40.7 39-9 53-8 54-7 54-3 22.9 23. i 23.2 23.7 22.9 23.7 54-2 54-7 54- 2 41.1 41.7 40.9 40-3 39-9 40-1 17.9 19.0 17.7 24.3 26.2 25.7 ii. 8 ii. i 11.7 15.0 14.8 15.1 15-30 12. 2O 24.03 I7.6O 39-87 39-93 54-27 23.06 23-43 54-37 41-23 40. 10 18.20 25-40 11-53 H-97 15- 14 11.87 24-72 17.90 39-99 40.50 54-32 23-25 1.07 0.88 2.17 i-43 3.78 3.85 5-17 2.05 9.O6 8.87 10. 16 9.42 11.77 ii .84 13. 16 10.04 9.14 8.95 10. 24 9-50 11.85 ii .92 13-24 10. 12 1904 October 31. Good. 21 5 22 18 34 29 e c t k X V I d b Oa\ d I X k t c e 2O. 8 21 . I 21 . I 15.2 16.2 16.7 32-8 33.1 34-0 37-6 37-3 37-6 50.8 50.2 51.4 36.7 37-2 37-9 22. O 21 .9 21.8 12.5 13.2 12.9 5-4 6-6 6 -7 14.9 15.7 14.1 14-9 '5-7 15-0 12.9 12.9 12.9 2O.9 21 .9 21.8 47.2 49.2 49.8 34.0 34.2 34.9 34-2 33-7 34-0 14.9 15.2 14.8 20.7 20. i 20. 8 21 .OO 16.03 33-37 37-50 50.80 37-28 21 .90 12.87 6.23 14.90 15.20 12.90 21-53 48.73 34-37 33-97 14-97 20.53 20.72 15-50 33.67 35-94 49-77 21.72 12.89 1-79 I . 12 3-04 3 29 4-78 3-46 1.90 0.76 O. 12 1.07 10.22 9-55 "47 11.72 13.21 11.89 10.33 9.19 8.55 9-50 IO.3O 9.63 "55 11.80 13-29 11.97 10.41 9-27 8.63 9 59 15.05 CHAPTER II. T ANDROMEDA. TABLE 8. 103 T ANDROMED/B Continued. 1904 November 2. Fair, a little dull, and unsteady. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 21 30 21 50 38 34 { d b e c t X k V k t c e b d I 28.9 29. i 29.4 20.3 20.3 20.3 16.7 16. 7 16.0 32.2 32.0 30.8 25.0 25.3 24.8 44.2 44.7 44.8 60 29.13 20.30 16.47 31.67 25-03 44-57 30.10 20.27 16.55 31-54 24.38 45-15 60. 47.60 2.67 1.74 1.27 2.82 2-15 4-35 5-6 4-59 4-44 10.07 9.14 8.67 IO. 22 9-55 "75 I3-0 11.99 u .84 10.15 9.22 8.75 10.30 9 63 11.83 13- 1 12.07 ii .92 47.2 47.9 47.0 46.0 45.9 46.5 48-2 47-7 47-6 45-5 45-9 45-8 23.2 24.0 24.0 3i-3 3i-5 31-4 15.9 17.2 16.8 20.4 20. i 20. 2 31.9 31.0 30.3 47-37 46-13 47-83 45-73 23-73 3I-40 16.63 20.23 31-07 1905 January 14. 40-INCH. Fair, unsteady. 4 27 52 t k 2 W Va, X u u X W z k t 34-i 34-7 33-7 33-4 33-7 33-i 56.7 58.7 58.0 53-0 51 7 5i-5 9.5 8.4 ji. i 44-3 44-5 44-9 47-8 46-4 45-9 46 . 7 46.2 46 . 7 41 .0 42.9 42. i 51.3 51.8 51.9 57-8 57.1 57.3 32-5 32-7 32-4 3i 7 3i-9 33 o 34-17 33-40 57-8o 52.07 9.67 44-57 46-77 46.53 42.00 51-67 57 40 32.53 32.20 33- 8 32-98 57-6o 5I-87 43-28 46.65 3.00 2.96 5-37 4-99 0.41 4-13 4 50 11.85 II. 8l 14. 22 13-84 9. 26 12.98 3-35 H-93 11.89 I4-30 13-92 9 34 13-06 '3-43 1905 January 28. Good. 4 22 4 38 57 t k z ' y X u u X y W z k t 20. 21 .2 2O.7 22. O 21 .9 22.3 41.2 41.3 40.7 36.1 37.0 36.4 42.7 43.6 43.3 31.9 32.1 31.7 34-0 33-9 34-i 33-i 33-8 32-8 30.0 31.0 31.3 42.5 43-3 43- 1 36-3 35-o 35-5 39.8 40.0 41 .0 19.8 20.3 19.9 19.8 20.9 20. o 20.63 22.07 41.07 36-50 43-20 31.90 34-00 33-23 30-77 42-97 35-6o 40.27 20.00 20.23 20.33 21.04 40.67 36-05 43.08 31.34 33-62 1.74 1-83 3-85 3-3i 4.11 2.79 3-05 11.83 ii .92 13-94 I3-40 14.20 12.88 I3-I4 ii .91 12. OO 14.02 I3-48 14.28 12.96 13-22 i6 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 8. 103 T ANDROMEDA Continued. 1905 February 25. Fair to good, low. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3 Mean of 6. H. P. h m O t 22. 2 22. I 22.3 22. 2O 21.68 1.89 ii .89 11.97 k 21.3 22.4 22.7 22. 13 20.46 i-75 "-75 11.83 z 41.5 42.3 42.9 42-23 42.82 4.08 14.08 14. 16 w 4-3 39-3 40- 2 39-93 40.05 3-79 '3-79 13-87 Va, ii . 5 10.4 11.4 II . IO 10.82 0-53 10-53 10. 61 y 48.2 48.1 48.9 48.40 47-76 4.60 14.60 14.68 X 32.5 33-8 32-9 33-07 33-25 3-00 13.00 1 3 . 08 u 35-2 35-i 34-7 35-00 34-68 3.16 13. 16 13-24 X 32.8 34.2 33.3 33-43 IO ^T. k 19 8O 35 t 20. O 21.7 21.8 21.17 Table 8 gives the detailed photometric measures and reductions of the com- parison stars in Table 7, based on the stars in Table 5. The series measured on three nights with the 6-inch includes the three catalogue stars A, B, and a, also the six comparison stars, b, c, d, e, I, and s. A complete series consists of three settings on each star in the list, followed immediately by three more settings on the stars in reverse order. Thus the mean of the times is the same for each star and any progressive changes in the real or the artificial star will be eliminated. In the seventh column there are two mean scale readings for each star, which are united into the single mean of the eighth column. The ninth column contains the values of C (curve reading) corresponding to each mean scale reading. These are taken from the absorption curves, E 6 for the 6-inch and A 12 for the 12- and 4O-inch, and express the relative magnitudes of the stars as explained below. To convert C into magnitudes in the system of the catalogue, it is increased by the quantity M taken from Table 9. For example, on October 15 the mean C for the three standard stars is 0.88; the mean of their magnitudes from the H. C. O. Catalogue is 7.69; the difference in the two quantities, called M OI is 6.8 1. If M J be added to each C, the mean of the sums for the three stand- ard stars will agree with the mean of their catalogue magnitudes, and the separate sums will preserve the relative magnitudes as measured. The quantity M is the magnitude of the zero reading on the absorption curve, and when increased by the C of each star will give the magnitude in the system used. In the example we are using the M in the Potsdam system is 6.89. Adding these values of M to C we have the last two columns of Table 8, the measured magnitudes in the H. C. O. and P. DM. systems. The sidereal time and zenith distance, given in the first two columns of Table 8, serve to show that no correction is needed for change in atmospheric absorption due to difference in zenith distance between the standard stars and the stars to be measured. For example, on October 15, when the field was near the meridian, CHAPTER II. T ANDROMEDA. the mean zenith distance of the three standard stars was less than that of the measured stars. At zenith distance 21 a difference of corresponds to a change of o.ooi magnitude in the atmospheric absorption, which is negligible. The stars measured with the 12- and 4o-inch were all within 20' of the variable, so that the correction would be even less. The subscript 01, appended to the star letter, shows that the star was measured through one shade glass, which increases the magnitude numerically by 0.75 for the 6-inch and 0.84 for the 12- and 4o-inch measures. TABLE 9. 103 T ANDROMEDA. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. Star. October 15. October 27. October 30. C. Obs. Mag. 4 Mag. C. Obs. Mag. 4 Mag. C. Obs Mag. 4 Mag. H. P. H. P. H. P. H. P. H. P. H. P. A B a Means. Hi.... 0.84 0.6' i. if 7.65 7-44 7-97 7-73 7.52 8.05 .02 .03 + .23 + .10 - .23 - .07 0.44 0.30 0.76 7-6 7-4' 7.9 3 7-7' J 7-57 5 8.03 - .04 + . 2 - -25 - -05 + 15 .09 0-43 o.37 0.90 7-5, 7-4< 8.0: i 7.63 ) 7-57 8.10 -.12 -.13 + .28 + .15 - .18 - .02 o.8f 7.69 6.81 7-77 6.89 .16 .07 0.50 7 .6< ) 7-77 ) 7-27 19 . 10 0-57 7 .6c 7.1; 7-77 7. 20 .19 .10 12-INCH. 40-INCH. Star. Mag. 6-inch. C. Star. Mag. 12-inch C. Sept. ii. Oct. 31. Nov. 2. Jan. 14. Jan. 28. Feb. 25. 6 8.81 9-33 9.22 0.88 o 19 1.43 I. 12 1.07 0.76 1.27 2-15 i-74 k 11.85 11.66 13. 12 2.96 3.00 1.83 i-75 i . 74 1-89 2.79 300 c t d X - - Mean Mean Mo . . r Mean Mean M . . . C. . . 1.13 0.69 9. 12 9. 12 7-99 8.43 1.72 9.12 7.40 3.36 12. 21 8.85 2. 12 2.21 12.21 12.21 10.09 10. oo Mag. 9. 12 Mag. 12.21 Table 9 contains the values of C, the reading from the absorption-curve of the wedge. From the mean C we derive the M used in the reductions. In the first part of the table (6-inch) the observed magnitudes of the three standard stars are given, both in the Harvard and Potsdam systems, in the columns headed H. and P. Subtracting the catalogue magnitudes in Table 5 from these observed values gives the residuals tabulated under " d Mag." for each system. The con- clusions which may be drawn from these residuals are discussed in Chapter XIV. As the measures with the 12 -inch are based on the standards fixed with the 6-inch, the second division of the table contains the 6-inch magnitudes of the three standard stars b, c, and d, from Table 10, and the values of C found on the three nights with the resulting values of M . Similarly the 4o-inch division of the table gives the magnitudes derived with the 1 2-inch for k, t, and x, with C and M . In the last two divisions the magnitudes are given in the Harvard system only, to express them in the Potsdam system add 0.08 as shown in Table 5. i8 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 10. 103 T ANDROMEDA. MEAN MAGNITUDES. 6-INCH. Star. October 15. October 27. October 30. Mean. Mag. A Mag. Mag. J Mag. Mag. J Mag. Mag. H- Mag. P. A Mag. A 7.65 7-44 7-97 + 0.04 -0.03 -O.OI 7-63 7-49 7-95 + O.O2 + 0.02 0.03 7-55 7-49 8.02 0.06 + O.O2 4-O.O4 7.61 7-47 7.98 7.69 7-55 8.06 0.04 0.02 0.03 B Mean 7.69 7-77 0.03 6 8.88 9.22 9.04 10.43 10.23 10-33 + 0.07 O. II -0.18 + 0.18 + O.OI 4-O.OI 8.85 9-34 9.27 10.08 10.24 IO. II + 0.04 4-O.OI + 0.05 -0.17 + O.O2 O.2I 8.71 9.42 9-36 10.25 10. 19 10.51 O. IO O.O9 + o. 14 o.oo 0.03 + o. 19 8.81 9 33 9. 22 10.25 IO.22 10.32 9.69 8.89 9.41 9-30 10.33 10.30 10.40 0.07 0.07 O. 12 0.12 O.O2 0.14 d 1 9-77 0.09 12-INCH. Star. September n. October 31. November 2. Mean. Mag. J Mag. Mag. J Mag. Mag. JMag. Mag. H. Mag. P. J Mag. b 8.87 9.42 9.06 + 0.15 0.09 0.06 8.62 9-55 9.19 o. 10 + 0.04 + 0.07 8.67 9-55 9.14 0.05 + 0.04 4-O.O2 8.72 9-5i 9. 12 8.80 9 59 9.20 O. IO 0.06 0.05 d 9.12 9.20 0.07 e 10. 16 11.84 10.04 11.77 13.16 0.64 O.OI 0. II + O. II + 0.04 IO.22 11.72 10.33 11.47 13.21 + O.O2 -0.13 + 0.18 o. 19 + 0.09 IO.22 11.99 10.07 "75 3- 4-O.O2 4-0. 14 -0.08 + 0.09 O. 12 IO.2O 11.85 10.15 11.66 13.12 10.28 "93 10.23 11.74 13.20 0.03 0.09 O. 12 0.13 0.08 k / t Mean . ... 11.40 11.48 0.09 40-INCH. Star. January 14. January 28. February 25. Mean. Mag. J Mag. Mag. d Mag. Mag. JMag. Mag. H. Mag. P. 4 Mag. k n. 81 11.85 12.98 O.O2 O.OI + 0.03 ii .92 11.83 12.88 + 0.09 -0.03 0.07 "75 ii .89 13.00 0.08 4-0.03 4-0.05 11.83 11.86 12.95 11.91 11.94 13-03 0.06 0.02 0.05 t Mean 12.21 12.29 0.04 u ... .... J3-35 13-84 + 0.13 + 0.16 I3-I4 '3 40 14. 20 13 94 -0.08 -0.28 O.2O + 0.14 13.16 13-79 14.60 14.08 0.06 4-0. ii 4-O.2O o.oo 13.22 13.68 14.40 I4.O8 I3-30 I3-7 6 14.48 14. 16 0.09 0.18 o. 20 0.09 TV y 2 14.22 + 0.14 Mean 13 85 '3 93 0.14 CHAPTER II. T ANDROMEDA. 19 Table 10 collects the magnitude results for each night from Table 8 and forms the means. The magnitudes for the separate nights are expressed in the Harvard system, and followed by the column "J Mag." giving the residuals from the mean of three nights. The columns of means give the magnitude in both systems, and lastly the means of the separate residuals. Table n gives the comparisons of the variable by Argelander's method (including a few photometric and photographic) , the resulting photometric magni- tudes of the variable, and a comparison with the mean light-curve. The Central Time (6 hours west of Greenwich) is given in the third column to the nearest hour, but as the records were usually made to the nearest quarter hour, the decimal of the Julian day in the fourth column is carried farther and sometimes differs by one or two hundredths from the hour in column three. In the fifth column, "Aperture," 6 stands for the 6^-inch Brashear reflector (clear aperture equivalent to 6.2 inches 15 cm.), 3 for the same with diaphragm, 12 and 40 for the Yerkes refractors (30 and 102 cm. respectively), 24 for the 60 cm. reflector. The comparisons in the seventh column, unless otherwise stated, were made by Argelander's method, the comparison stars being denoted by letters, -v stand- ing for the variable. The stars compared were brought equally distant from the center of the field and the head turned till the line joining the eyes was parallel to that joining the stars. Then by glancing from one star to the other the interval in steps was estimated. In the records the brighter star is given first; cm is read "c is one step brighter than the variable;" b^-^v, b is four or five steps brighter than the variable. When the variable was not seen the limiting magnitude is usually estimated from the faintest comparison star visible, for example "limit 4<>" means that the limit of visibility is four steps fainter than e. The reductions in columns 8, 9, and 10 were made as follows: (i) The light scale was formed in the usual manner from all the step intervals in column 7, with the results given in the fifth column of Table 7. (2) Each comparison in the seventh column then gives the brightness of the variable in steps, columns. For example, on the first date, since 6= 39.0 steps, the comparison 64-57; gives 34.5 for the brightness of the variable. (3) To form the mean step values for the ninth column, if the estimated interval is greater than two or three steps the results are weighted inversely as the interval. (4) To obtain the corresponding photometric magnitudes given in the tenth column in the Harvard system, recourse is had to the "Magnitude-Curve" (fig. 4). Using the data in Table 7, for the stars measured with the photometer, the step values are platted as ordinates and the magnitudes as abscissas. (5) A smooth curve is drawn through the platted points, giving from the step values in the ninth column the magnitudes in the tenth. The step values of the stars not measured are entered in crosses on the magnitude-curve, and the resulting magnitudes are given in Table 7, eighth and ninth columns. 2O RESEARCHES IN STELLAR PHOTOMETRY. TABLB n. 103 T ANDROMEDA. VISUAL OBSERVATIONS OP THE VARIABLE. No. Date. Ocular. I I , D3& 1} not held, h and k seen . 29.2, 29.1, 29.2 24-7, 21.9 v not held limit 4 < e &3D, do-lV, TJI-2C 1)4^, lib, "V2d, 041) 36.0, 34.2, 35.1 37.6,39.0,36.7,38.0.. a2V, v$d, vib, h2k ) limit 2 3< k? i 39-5, 38.7, 40.0 39-0, 39-7, 41-0. . .]_ 40.0, 39.5, 38.7. . . > 39-5, 38.2, 40.0. . . I 40.0, 36.7, 40.0. . .) 39.0, 38.7, 40.5. . .) 39.0, 38.7, 40.5. . .) 38.5, 38.2 39-o, 37-7, 38.5 37-5, 38-2 38.0, 37.7, 38.0 38.0, 38.7,36.5. . .\ 38.5, 37-5, 36.5 .) 36-5, 37-2, 35-6 . .) 36.0,36.7 j 37.0,36.7 1 36.5,36.7 J 36.0, 35.2, 35.1 31-7, 33-6, 34-7 32-2, 31.6, 33.7 30.7, 30.1, 33-7, 3-5 28.2,28.5 27-7, 23.5, 23.5, 23.9 21.5, 22.9 0231), Ti^d, vib 031), v$d, 1)26 vib, 0231), D4d 02-31;, D3-4d, vib 021;, D2d, DI& 031), i>4d, i;i 26 03^, 1140", 1/126 13-4". ^3-4^, (*3-4^?) 031;, vyi, 60-11; 61-21;, 1/3-40" [ 611;, 1)30", 0411 0411, D4d, 62-31; 0341), 6 1 2D, V2(t 05-61), 1)2-30", 62-311 byj, V2d 621), V2d 62-31), T>2d byv, vo-id, vi-2c dyv, lie, v^e d2-yv, C2V, 1)36 dAD c 14.T v\e. v&l ei-yv, V2l ew Ivu vim wzh I^TI, i>4/t D not seen limit / D not seen, limit i , i)d, D2C 6311, lid, DIC d2D, CID, 1>4/ C2T. D2. D-*/. D4. \l . . . -\ C3D, DI 2, D2/ /21), D4~ 5W /5D, D2TO, D4/1 30.6, 32.2, 28.5. . . . 24-5, 25.0 21.5, 22.5, 22.9. ... B-IOD, DTO, D2/I kyv, DI-2& &4D, DI&, limit 3 < k ... . . vk '7-5. 20.5, 20.2.. . . 15.9, 15-8 14-9, !5-3 k2yv, limit D k2 31), limit D D not seen, limit 3 < h . . v not seen, limit 2l &2D, D2ife &ID, limit i 2 vfth k2V, limit v k^TI, TO- IX &4D, limit D JO-3, 10.5 k$v, vo-ix 10.3, 10.5 22 RESEARCHES IN STELLAR PHOTOMETRY. TABLE n. 103 T ANDROMEDA. VISUAL OBSERVATIONS OF THE VARIABLE Continued. No. Date. 1 O I & Comparisons. Reduction, Steps. Means. Seeing. ' d Mag. Month and Day. Hour C.S.T. Julian Day G. M. T. Steps. Mag. 92 93 94 95 96 97 98 99 IOO 101 IO2 103 104 105 106 107 108 109 IIO III 112 "3 114 "5 116 118 119 1 20 121 122 123 124 125 126 127 128 129 130 132 133 134 135 136 '37 138 139 1897 Sept. 16 20 24 29 Oct. 14 23 25 29 Nov. n 17 20 Dec. 29 1898 Jan. i 6 23 Feb. 5 24 Mar. 4 '3 Aug. 29 Sept. 8 Oct. 1 1 Nov. 5 19 Dec. 3 22 1899 Jan. 2 9 24 Feb. 15 28 Mar. 7 Aug. 10 18 Sept. i 13 Oct. 2 7 23 30 Nov. 4 20 27 Dec. 6 19 23 29 1900 Jan. i 22 24 7 8 8 8 7 7 6 7 7 7 7 7 6 7 7 7 7 8 8 7 6 7 6 6 6 6 6 8 7 9 8 8 7 8 7 7 7 ' 7 7 7 7 7 7 7 6 7 7 2410000+ 4184.54 4188.58 4192.58 4197-58 4212.54 4221.54 \ 4223. 50 -s 4227-54 I 4240.54 4246.54 4288.54 4306.54 4313.50 4326.54 4345-54 4353-54 4362.54 4531.58 454I-58 4574-54 4599-50 46I3-54 4627.54 4646 . 50 4657 50 4664.5 4679.5 470i . 5 47I4-58 4721-54 4877-63 4885.58 4899.58 4911.56 4930.58 4935 54 4951.54 4958 - 56 4963-56 4979-54 4986.54 4995 54 5008.54 5012.54 5018.52 5021.50 5042 . 54 5044.54 150 150 150 150 150 40 15 15 80 80 40 150 40 40 40 40 40 40 150 40 150 40 40 80 40 40 40 15 150 150 150 150 150 150 40 40 40 40 40 40 150 150 150 150 200 150 200 200 200 200 150 150 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 51*, ac not seen 9-8 13.2 14.4 16.1 16.8 17.0 18.8 19.6 23.7 27.6 28.3 41.2 39-2 37-o 32.1 30.1 25.0 22.5 25-8 27. 2 39-4 37-8 S3- 2 27.6 23.0 21 . I 19.2 14.4 10.3 9-8 38.2 36-6 34-4 31.8 26.2 24.0 19.9 16.6 15.6 12.6 II .2 II . 2 "3 IO.2 10. , 9 ' 8 II.9 12.90 12.38 1 2. 2O 11.97 11.85 11.80 11.56 "45 10.84 IO.27 10. 17 8.28 8-57 8.90 9.60 9.89 10.63 1 1. 02 10.52 10.31 8.54 8.78 9-47 10.27 10.94 n .20 11.50 12. 2O I2.8I 12.89 , vih 23-5, '9-9 19-5, 17.3, 20.9 . . l6 4. 12 T, 41? limit i? 4 51? limit v . . v not seen, limit 1-2 < h . a^v vb v$d 38.0, 39.0, 37.7. . 36.5, 36.7 35-0, 33-7, 34-6. .. 30.7, 34.1, 30.5. . . 28.1, 26.5, 23.9 . . 24-5, 23.4 20.5, 20.9, 18.3 . . 16 4, 16 8 . 62-31?, V2d 6411, div, vie dq.v, vo-ic, i?4/ 05-61?, vl, v$h /2D, 1)45/1 /6f, i?2^, i?4& h2v, vk, x not held .... klV, V2X kyv, vix 16.9, 14.3 13-3, 12.0 11.3, n. o 11.3, 11. o 41? vx limit v or x .... 10. 3, 10.0 xoiv limit v 51?, DO-I* v not seen limit k 9-3, 10.3 631?, D2-3*, limit x II- 3, 12-5 CHAPTER II. T ANDROMEDA. TABLE n. 103 T ANDROMEDA. VISUAL OBSERVATIONS OP THE VARIABLE Continued. No. Date. Ocular. tj I Comparisons. x Reduction, Steps, Means. t. J Mag. Month and Day Hom- CS. T Julian Day G. M. T. Steps. Mag. Seeing 140 141 142 143 144 145 146 147 148 149 150 151 152 i53 154 155 156 157 158 i59 1 60 161 162 163 164 165 1 66 167 168 169 170 171 172 173 174 175 176 177 178 179 1 80 1900 Feb. 15 26 May 20 June 25 July 30 Aug. 26 Sept. 15 Oct. 10 18 Nov. 21 Dec. n 29 1901 Feb. 9 1903 Feb. 1 6 24 Oct. 1 1 13 1904 Aug. 29 Sept. ii Oct. 6 27 30 30 3i Nov. i 2 '4 2 9 1905 Jan. 14 28 Feb. 25 Mar. 3 May 22 June 10 27 July 30 Aug. 9 28 Sept. 17 Oct. 20 Nov. 21 7 7 14 14 10 8 7 7 1 1 7 7 6 9 8 8 8 10 8 6 6 6 7 6 9 8 7 7 15 15 15 12 14 9 8 8 6 2410000 + 5066.54 5077.54 5160.83 5196.83 5231-67 5258-58 5278.54 5303 54 53ii-7i 5345-54 5365-54 5383-50 5425-63 6162. 6170.58 6399-58 6401 . 6722.58 6735 67 6760. 6781.58 6784.50 6784.50 6785-54 6786.50 6787.54 6799. 6814.50 6860.63 6874.58 6902 . 54 6908 . 54 6988.88 7007 . 88 7024.88 7057-75 7067.83 7086.63 7106.58 7I39-58 7I7I-50 150 150 40 40 40 150 150 150 237 15 40 40 40 '67 150 6 6 6 6 6 6 6 6 40 6 6 6 6 24 12 6 h2TJ, 112k 16 . o. 16 "} . . 16.6 19- 37-6 29.8 22.2 12.3 9- , limit v 38.0, 37.2 32.1, 27.5 21.5, 22.9 v glimpsed, k$v . * 11 not seen, limit l<.k k^ll, TJ2X tl2T), T2k, 16811 10.3, 12.0 16.9, 16.3, 19.5 . 2^ . 5. 2T. 3 . . /3f, i>8 lok vl bv, V4-56k, u^h (15.5), 20.3, 22.9 22.3, 19-3, 23.5, 21.5 29.2, 33-7 v$k vjt V3m l$i> ei-2V, dm Da af>i>, bv, v^d 36.0, 39.0, 38.7 .. 24 RESEARCHES IN STELLAR PHOTOMETRY. The whole time covered by the observations, starting from the first, was divided into parts corresponding in length with the star's assumed period. The quantity t in the twelfth column is the time elapsed in days since the beginning of each of these parts. The last column, " j:Mag," gives the residual between the ob- served magnitude and the reading from the mean light-curve corresponding to the time t. Table 12 gives the data for finding the mean light -curve, following the form used by Turner in his reductions of the Rousdon variable star observations' with some additions. Dividing the assumed period, 282 days, into twelve parts we have in this case 23.5 day groups. The heading of Table 12 gives in two lines the number of the group and the day number corresponding to the last MAGNITUDE T ANDFtOMEDAE FIG. 4. MAGNITUDE-CURVE FOR T ANDROMEDA. day of the group. The first column gives the Julian day of the beginning of each period, starting from an arbitrary date, the first observation. Then follow for each group of each period, the mean t and magnitude in the Harvard system (found by averaging the quantities in the last two columns of Table 1 1 for the interval covered by the group) J M, the difference between the mean magnitude and the reading from the mean light-curve for the time t, and the number of nights ' observations in the group. Finally, at the foot of the table will be found the general means of the tabulated quantities t, M and 4 M, followed by the total number of observations in each group. These general means of t and M are platted to form the mean light-curve (fig. 6, page 27). ' Memoirs of the Royal Astronomical Society, vol. 55, lix et seq. CHAPTER II. T ANDROMEDA. a, si, 00 o ~ <0 o I Z K i s o 5; CO " FlG. 5. LlGHT-CURVB OF T ANOROMKU.'li. 26 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 12. MBAN MAGNITUDES PROM 23.5 DAY GROUPS. Group No. . . . T D i 27 S 2 47 3 70.5 4 94 5 117.5 6 141 7 164.5 8 1 88 9 211.5 IO 2 35 II 258.5 12 282 r / 251 274 M 8.77 8.61 2 93 JM o ^o + 0.15 0.08 L No 4 4 r t 62 223 250 269 M 8 88 9.66 8.65 8.66 3 I8 5 \ JM o 18 0.28 + O.OI + 0.03 L No i 4 4 4 I/ if) 66 86 * M 8 88 10 86 JM Nn i 3749 ] I No. I M 26 9.70 + 0.15 I 39 IO QI 56 10.96 + 0.26 2 8 4 11.96 + O.22 2 108 12. 27 O.22 I IOO 12 86 141 12.97 + 0.17 i 130 12 3O 157 12 52 175 12.36 + 0.08 i i74 11.91 200 11.48 + 0.16 2 196 II .41 220 10.56 + 0.31 i 216 IO.22 257 8.28 275 8.57 4031 1 ,rj JM I No. r , 6 + 0.84 i ?6 4.O + 0.26 2 O.OO 2 O. 12 3 o 42 2 0.05 4 O.24 2 2. 23 0.24 i -0.13 i 261 O 2^ 10 26 1 1 . 02 10.42 8-54 JM f-o 28 + 032 + o 60 + 0.33 + O.OI L No 2 I 2 i r * 61 84 12 28 12 8l 12 89 4595 JM -\- O "\2 4-O A'l + o 28 + o 16 L Mn r / c6 8O 106 128 167 IQA A&77 ;' M 8 98 12 C8 12 88 12 =10 1 1 7O JM _j_ o 05 + o 08 -f-o 16 + O I ^ L No i 2 f ' 5159 J M I JM L No. r t 2 8.80 O.O7 I 38 9-94 0.08 i 72 n .07 -0.30 I 99 12.52 -4-0. 15 I 119 13 + 0.27 I 52 12.67 0.03 i 1 86 11.79 -0.17 i 165 2O6 10.88 -0.13 i 224 10.42 + 0.39 I 266 8.57 O.O2 I T -3 17 JM + o 67 L No i r / 6287 J M 12 8l ] JM L No r / 6851 J M 1 JM L No r t Means j ' M 1 JM L No. 9 8.97 + O.O2 2O 34 9-93 + 0.05 19 57 10.75 o.oo 15 79 "57 0.03 9 105 12.55 + O.O2 II 128 12.84 + 0.05 IO 150 12.69 + O.OI 6 '73 12.36 0.09 6 199 "37 + 0.03 9 2 2O IO.22 + O.IO IO 253 8-57 0.03 9 268 8.60 0.04 II CHAPTER II. T ANDROMEDA. too DAYS zoo 300 4-00 ANDROMCDAE M . ^S8 ef m = /32 M-m- /26 COMPLETE LIGHT-CURVE. (Fig- 5, page 25.) This is formed by platting the magnitudes (in the Harvard system) from Table 1 1 , and indicating the limit of visibility when the variable was not seen by the point of the V-shaped character. A smooth curve drawn through the platted points shows the light changes of the variable. When the number of observations is insufficient to give an accurate curve, it is drawn with a broken line by the aid of the mean curve. The dates and magnitudes of max- ima and minima given in Table 13 are taken from this light -curve. The correction to the ephemeris, given in the sixth column, is calculated from the elements at the head of the table, with the corrected period 284 days. The weight in the sev- enth column results from the num- ber of observations combined with their symmetry with respect to the maximum or minimum. In case of a symmetrical distribution the weight is f times the number. If the observations all lie on one side the weight is \ the number. In case the date of maximum or mini- mum depends on the mean curve, the letters "me" are placed in the magnitude column. TABLE 13. 103 T ANDROMEDA. Elements of maximum. LJ O D h O /2 I3 FIG. 6. MEAN LIGHT-CURVE OF T ANDROMEDA. OBSERVED MAXIMA AND MINIMA. 1894 Nov. 28 (J. D. 2413161) + 284<>X(E-S1)- M-m=126 4 MAXIMA. MINIMA. i Date. Mag. | Date. Mag. Wt a H Calendar. J. D. H. P. Lorr. | W Calendar. J. D. H. P. 50 1894 Mar. 2 2890 me + 13 6 5 1894 July 26 3036 me + i 2 51 Dec. 3 V66 8 49 8.S7 + 5 24 52 1895 May 6 3320 me + i 7 52 53 54 1895 Sept. 9 1896 June 13 1897 Mar. 21 3446 3724 4005 8.58 8.66 me me + i - 5 - 8 28 2 3 53 54 55 1896 Feb. 14 1896 Nov. 24 1897 Aug. 1 6 3604 3888 4'53 me 12.98 12.90 + i + i -18 6 15 i? 12.90 12.82 55 Dec. 31 4290 8.3 8.38 7 13 56 1898 June 3 4444 me ii i 56 1898 Oct. 18 . 4581 8.32 8.40 o 10 57 1899 Mar. it 4725 12.9 13-0 - '4 4 57 58 59 1899 July 22 1900 Apr. 29 1901 Feb. 2 4858 5139 5417 me 8.6 me - 7 10 -16 4 7 2 58 59 62 Dec. 25 1900 Sept. 28 1903 Feb. 14 5014 5291 6160 12.90 13.00 13.2 12.98 13.08 13.3 - 9 -16 + i 20 IO I 64 1905 Jan. 14 6860 me + 7 2 64 1904 Sept. 6 6730 me + 3 5 28 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 14. PHOTOMETRIC MEASURES AND COLOR OF COMPARISON STARS. Star. H. C. O. 37,i5i Lindemann + 0.18 A. N. 139,345 H. M. Parkhurst A. J. 15,77 J. A. Parkhurst. Yendell, Visual A. J. 15, 9 3 Color, Plates 1 49 and 150 Hagen. H. P. a 6 c d e I s t k y v 8.08 8.45 8.03 8 80 9 29 8.5' 8.76 9.26 7.98 8.72 9 5i 9.12 IO.20 10.15 10.32 11.66 11.85 13.12 8.06 8.80 9 59 9. 20 10.28 10.23 10.40 11.74 " 93 13.20 8.18 8. 10 9.07 8.58 9.60 10. 2O + 0.37 O.O2 0.03 + 0. II 0.08 + O. I I + 0. IO + 0.08 0.09 + 0.52 8.1 8.5 9.0 8.8 9-7 9-9 IO.O 12.4 12.5 9.01 10.62 12-34 12.50 13.89 12.55 Table 14 collects the other photometric measures of these comparison stars which are known to the writer, adding Hagen 's and Yendell 's visual scales and the measure of the color from a comparison of photographs taken on ordinary and isochromatic plates. The Harvard results in the second column reveal a considerable difference in scale, but reference to the volume cited shows that the measures of the four faint stars depend on the single star d, which seems too narrow a foundation. Again, before any larger aperture had been used on the field, the writer selected the comparison star x with the 6-inch reflector, whose limit of vision, as determined by all the photometer measures, lies between 12.8 and 13.0. If this is true the Harvard values for the faint stars are numerically too large by at least three-quarters of a magnitude. I/indemann's results were based on the magnitude 6.50 for the star B. D. + 2623 (P. DM. 6.68) and are therefore increased byo.iSto bring them to the Potsdam system. They show a very close agreement with my values in column P. H. M. Parkhurst 's measures make the yellow star a about half a magnitude fainter than the other values. The Purkinje phenomenon would seem to explain the difference, as he used an extinction photometer, while the others used the full light of the star. A difference in scale is also indicated by the single faint star k, but this is entitled to a relatively small weight as it depends on only two double extinctions, while the other stars have six to nine; and in other fields our scales are in good agreement. The writer's results are given in columns H and P on both the Harvard and Potsdam scales. Yendell 's visual scale is added for comparison. The color of the star a probably accounts for his estimating it with a 4. 2 5 -inch aperture fainter than the star b. The "Color" column gives the difference : Magnitude on ordinary plate minus magnitude on isochromatic plate. It will be noticed that these differences are within the combined accidental errors of the visual and photographic measures, except for the stars a and v. At the present writing the data are insufficient for expressing these color numbers on the usual decimal scale, but an idea of their CHAPTER II. T ANDROMEDA. 29 relation can be had from the coloration of the variable given by Yendell, 5.2, and by the Gesellschaft Committee on Variables, 6.0. Besides that here given, three light-curves have been published for the variable near maximum. The curve first published by Pickering inAstrophysical Journal, 1, 305, 1895, was anomalous in character, consisting of two straight lines meeting at the point of maximum. This curve has unfortunately gained some publicity and been widely quoted, but seems to lack confirmation. Pickering's second curve 'n the same journal, 3, 281, is of a different character and agrees with that given by Yendell in Astronomical Journal, 15,93, a l so with the curve here given. As far as known, no other complete light-curve has been published, as observations near minimum have been scarce. Those published by H. M. Parkhurst in the Astronomical Journal, vols. 15 and 17, for epochs 53 and 54, number 9 and 8, respectively. In Harvard Annals, 37, 206, the minimum of epoch 38 was observed by Reed, who gives seven observations when the variable was fainter than the eleventh magnitude. The period 284 days satisfies the present set of observations better than the shorter period 281 days given by Chandler, Pickering, and the Gesellschaft com- mittee, and demanded by the B. D. observations of 1855. Hagen gives in the catalogue sheet to the "Atlas" the elements of maximum: 1891 December 14 (2081) -j- 274 E. This period is so much too short that the calculated maximum 1 7 falls at Julian day 6739, only nine days after the observed minimum. We conclude that at present the period is lengthening. CHAPTER III. 267 V ANDROMEDA. R. A. oh 44 39.7* ; Dec. +35 6' 30" (1900). The announcement of the discovery of this variable by Anderson was received in the Astronomische Nachrichten, 142, 159, in January, 1897. Observations began at once and the definitive notation was published by Chandler in Astronom- ical Journal, If, 87, February, 1897. Some confusion arose from an apparent con- tradiction between the observations of Yendell and the writer (noted by Hartwig in the Vierteljahrsschrift, 32, 187), occasioned by a misidentification explained in Astronomical Journal, 8 , 62. Some trouble may also arise from the fact that the Chandler number of the star is given as 268 in the Nachrichten, 160, 335, and in the Harvard Provisional Catalogue of Variables, Annals, 48, 96, whereas that number was assigned by Chandler to X Sculptoris in the Journal, 17, 88. As Hartwig 's observations of the star are not yet published, there are only available for comparison three isolated observations by Esch in the Nachrichten, 160, 335,thestar being found invisible in February, 1902 (then 13 by my curve) and 9.3, 1902 August 22. The positions of the variable (relative to the star a, in Leyden A. G. Cat.) and the brighter comparison stars were measured with the 6-inch, the fainter stars with the 4o-inch, and all positions were checked from the photograph. The three fundamental magnitude stars (Table 15) are white, which perhaps accounts for the small residuals and the close agreement of the results with the Potsdam values. The mean light-curve was formed from the observations up to February, 1905. It bears a close resemblance to that of T Andromedae, the only difference being the length of the period. No halting in the regular change has been observed, but there is a range of more than a magnitude in the brightness at different max- ima and half a magnitude at the minima. A pair of ordinary and isochromatic plates taken 1904 November 15, showed no color difference between the variable and the comparison stars d, e, and m. The revised elements given by Chandler in Astronomical Journal, ]Q, 94, Max.=i896 Nov. 5 (3869) + 263 E as well as Hartwig's ephemeris in Vierteljahrsschrift, 39, 262, call for a maximum epoch 12, 1905 June 28. The observed date, May 5, though dependent on a small number of observations, does not seem liable to an error greater than 10 days, so that the Chandler period is evidently too long. The present set of observations are best satisfied by a period of 259 days, as given at the head of Table 23. 3J RESEARCHES IN STELLAR PHOTOMETRY. TABLE 15. STANDARD MAGNITUDE .STARS. 1900. Magnitude. Residuals. Star. B. D. No. RA Color. P. DM. Catalogue. Measured. From Cats. 3 Nightr H.C.O. P. DM. H. P. H. P. se. h in s o / B' + 35 146 o 42 34 + 35 39-5 W + 8.02 8.23 7-93 8.22 -9 - i 2 E' + 35 145 o 42 33 + 35 56-6 W + 7.80 8.03 7-74 8.03 -6 o 2 /' + 34 148 o 50 45 + 34 40-9 w 6.82 7.26 6.98 7-27 + 16 + i 2 Mean. . . 7-55 7.84 7-55 7.84 10 i 2 TABLE 16. COMPARISON STARS IN B. D. CATALOGUE. B. D. 1855- B. D. 1855- No. Mag. R. A. Dec. No. Mag. R. A. Dec. O h m s / O h m s / y + 34 120 9-0 o 41 36 + 34 38-5 1 + 34 131 9.2 o 43 22 + 34 55-7 z + 34 121 8-4 0.42 6 + 34 32-5 E + 34 132 9-i 43 24 + 34 45-7 a + 34 "6 9-1 o 42 31 + 34 45-9 A + 35 i54 8-9 o 43 24 + 35 3-6 b + 34 "7 8-3 o 42 46 + 34 39-0 TABLE 17. COMPARISON STARS FOR V ANDROMEDA (IN ORDER OF RIGHT ASCENSION). Star. Coordinates from Variable. Light Scale, Steps. Magnitude. R. A. Dec. Measured. From Curve. H. P. H. P. y r u w q t * z s k g B k E D d } a m e b n I A' H -442 -408 -388 -374 -315 -286 -272 -172 - 75 - 68 - 53 12 + 16 + "5 + 119 + 132 + 139 + 194 + 224 + 235 + 258 + 325 + 423 + 473 + 549 + 846 + 883 1 -36.0 -33-3 -31.6 -3 5 -25-7 -23-3 22.2 -I4.I - 6.1 - 5-5 - 4-3 i .0 + 1-3 + 9-4 + 9-7 + 10.8 + 11- 3 + 15.8 + 18.3 + 19.2 + 21 .O + 26.5 + 34-5 + 38-5 + 44-7 + 68.9 + 72.0 H -777 -275 + 342 + 206 -255 + 291 -323 -165 "56 + 396 -187 -156 + 9 + 152 + 547 - 26 + 96 + 74 -748 -354 -107 -185 -765 + 5i - 15 + 296 + 714 4i-5 9-27 9-56 I2 ii . 29 ii .42 I2 II .42 ii. 5 12-5 11.58 11.71 26.1 25-1 ... . 25-1 11.71 16. o 23.1 17-7 20.4 4-7 "-5 "s.'a's 13.82 13-04 '^52 14. ii '3-33 12.8 11.97 12.63 12. 29 11.68 12-34 12.00 9 9i o 23.0 3i i 37-4 20.9 26.5 44.6 23-9 13-46 14. 26 11.83 10.41 9.91 12.24 ii . 26 8.81 13-75 '4-55 12. 12 IO.70 IO. 2O 12-53 ii 55 9. 10 11.87 II .46 9.6l 9 *? 11.58 ii. 17 9 32 8.98 41.4 43-9 STELLAR PHOTOMETRY. + 30 5 N PLATE 3. -39 s 'K d n s B D C O g* -h u t tr + 10' +5' 5' Scale, i mm= 7*. 5. 267 V ANDROMEDA. R. A. oh 44 m 39 s. 7 . Dec. 4_ 35 6' 30", 1900, '95 CHAPTER III. V ANDROMED/E. MAGNITUDE 33 30 -.26 / 13 267 V ANDFtOMEDAE. IO FIG. 7. MAGNITUDE-CURVE FOR V ANDROMEDA. TADLE 18. 267 V ANDROMED/E. PHOTOMETER MEASURES OF COMPARISON STARS. 1904 October 6. 6-INCH. Fine. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings c. Magnitude. Mean of 3. Mean of 6. H. P. h m 22 53 23 14 o 22 19 E' B' V z b a Tl F, a b z y B' E' 13.0 12.3 13.0 13.8 14.0 13.7 24.9 25.2 25.1 16.9 18.1 17.5 2O. O 21. O 21.3 27.4 28.5 28.3 35-3 35-o 35.7 12.8 12.8 12. 7 12. O 12.2 12.7 29.0 28.8 29.8 21.7 21.3 22. I 20. o 19.7 19. i 25.0 25.1 24.9 13.7 14.0 14.0 I3.I 13.1 13.2 12.77 13.83 25.07 i? 50 20.77 28.07 35-33 12.77 12.30 29. 20 21 .70 I9.6O 25.00 13.90 I3-I3 12.95 13-87 25-04 18.55 21 . 24 28.64 0.63 0.77 2.13 1.42 1.74 2.52 3.38 0.57 7-77 7.91 9.27 8.56 8.88 9.66 10.52 7-71 8.06 8.20 9 56 8.85 9.17 9 95 10.81 8.00 12-54 34 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 18. 267 V ANDROMEDA. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1904 October 30. 6-INCH. Good. Sidereal Time . Zen. Dist Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. p. h m 21 29 21 51 38 34 ' B' y s b a v F' F' al F' m a b 2 If E' 12.8 13.6 13.1 15.1 15.2 15.7 28.3 28.9 28.3 18.4 18.2 19. i 22.0 23.1 23.2 31.2 31.2 30.9 49-7 49-3 49-4 5.5 6.1 6.1 14.9 14.1 14.1 13-7 H-3 H-3 32.8 32.9 32.7 24.1 23. i 24.2 19.7 18.9 19.8 28.0 28.2 28.3 15-7 15-0 i5-i 15.0 14.8 14.6 I3-I7 15-33 28.50 18.57 22.77 31.10 49-47 5 90 H-37 14. 10 32.80 23.80 19-47 28.17 15-27 14.80 13-99 15-30 28.34 19.02 23.29 31-95 o-77 0.98 2-49 i-47 1.96 2.92 4.66 O.O2 0.83 7-7i 7.92 9 43 8.41 8.90 9.86 n .60 6.96 7-77 8.00 8.21 9.72 8.70 9.19 10.15 11.89 7-25 8.06 14.24 1904 October 30. Quiet, dull. 23 23 23 4' 20 18 b a z y B' E' E' B' y z a b F' F' 25.8 26.7 26.7 33-9 34-3 33-9 19.2 21.2 20.2 28.1 27.8 28. I 18. I 17.9 17.8 15.9 16.0 16.5 I7.I 16.7 17.1 18.3 18.1 18.7 30.9 30.1 30.0 21. I 2O. 9 21. 33-3 32-6 33.3 25.2 25.0 25.5 II . I II .0 II . I 10.0 10.8 10. i 26.40 34-3 20. 20 28.00 17-93 16. 13 16.97 18.37 30.33 21 .OO 33-07 25-23 II.O7 10.30 25.82 33-55 20.60 29.17 18.15 16.55 2.23 3-13 1.66 2.58 i-37 1.16 8.82 9-72 8.25 9 '7 7.96 7-75 9.11 1O.OI 8-54 9.46 8.25 8.04 10.69 0.36 6-95 7-24 1904 September ii. 12-INCH. Good. 21 8 21 29 42 38 y z b a e m d v d m e a b ) z y 17.8 17.6 17. I 9-8 97 8.7 27.8 27.0 28. i 13.1 13.2 14.0 24.1 23.8 24.1 34-9 35-2 35-8 44-1 44-3 44-o 40.9 40.7 41 .2 25.7 25.0 25.5 37-9 39-2 38-3 43-3 44-i 44-4 36-1 37-3 36-8 23.0 23.1 22.7 14.7 14.3 14.7 29.2 29.4 29.4 8.6 9.7 9.0 17. i 16.8 17.4 I7-50 9.40 27-63 '3-43 24.00 35-30 44-13 40.93 25-40 38.47 43-93 36-73 22.93 '4-57 29-33 9. 10 17. 10 17-30 9-25 28.48 14.00 23-47 36.02 44-03 39-70 1.38 0.36 2.50 0.92 2.06 3-32 4.22 3-75 2.24 9.28 8.26 10.40 8.82 9.96 11.22 12. 12 11.65 16. 14 9-57 8-55 10.69 9.11 10.25 11.51 12.41 11.94 10-43 CHAPTER III. ^V ANDROMEDA. 35 TABLE 18. 267 V ANDROMEDA PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1904 October 30. 12-INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. /( nt 22 30 22 50 O 27 23 y z b f a e m d V d m e a b 2 y 15 8 16.3 16.0 7.8 8.1 8.7 12.4 13.1 13.1 24.8 25.8 24.0 20. o 20. o 20. o 35-o 35.1 34.8 41. 7 42.0 42.0 37-8 39.1 39-2 33-o 33.9 33.8 38-7 38.5 39-2 42-3 40-9 4'-9 32-2 33.0 32.8 22.7 22.3 22.4 27.2 26.3 27.3 12. O 12.8 12.4 5-9 6.9 7.7 14.0 14.6 14.8 15-03 8.20 12.87 24.87 20.00 34-97 41.90 38-70 33-57 38.80 41.70 32.67 22.47 26.93 12.40 6.83 '4-47 4-75 7-52 12.64 25.90 21 .24 33-82 41.80 38.75 I .02 O. 21 0.75 2.27 1.85 3.06 3.98 3.63 3-03 9.14 8.33 8.87 10.39 9 97 11.18 12. IO n-75 11.15 9-43 8.62 9. 16 10.68 10.26 11.47 12-39 12.04 11.44 1904 November i. Good. 21 15 21 33 40 37 y z b f a e d m V m d e a I 2 y 23.1 23.9 23.7 16.2 15.9 15.0 21.8 21.3 20.7 35-i 35.9 34.3 30 . 2 29 . 8 29 . 8 43.6 44.2 43.9 52-3 52-9 52-3 55-5 56.7 57-4 46.1 45.9 45-0 55-0 55-5 55-7 50.1 50.1 49.8 43-0 43-9 43-i 30-7 3-3 30-7 36.7 36.0 36.0 19.9 19.8 19.8 15-0 15-5 '5-1 25.0 24.4 24.7 23-57 15-70 21.27 35-io 29-93 43-90 52.5 56-53 45-67 55-40 50.00 43-33 30-57 36.23 19-83 15.20 24-70 24.14 15-45 20.55 35-67 30.25 43.62 51.25 55-97 2. 12 I . II i-77 3-27 2.68 4-17 4-93 5-29 4.40 9.28 8.27 8-93 '0-43 9.84 i-33 12.09 12.45 ii 56 9-57 8.56 9.22 10.72 10. 13 ii .62 12.38 12.74 11.85 1904 November 2. Fair to good. 21 57 32 18 33 29 y z b i a e m d V d m e a I 2 y 22. O 21.7 21 .7 13.8 15.0 14.2 19.8 18.3 19.2 33-7 32-7 34-i 27.0 28. i 28.3 42.9 41.7 41.8 51.4 51.2 51.0 46.5 46.3 46.6 39.3 40.8 40.2 46.5 46.9 46.0 50.9 51.2 51.3 40.0 41.2 40.0 26. i 27.0 26.8 32.5 31.8 32.3 17.7 18.1 18.6 ii .9 12.8 13.0 21-7 22.2 22.3 21.80 14-33 19. 10 33 50 27.80 42.13 51.20 46.47 40. 10 46.47 5i-i3 40.40 26.63 32.20 18.13 12.57 22.07 21.94 13-45 18.62 32-85 27.22 41.27 Si.i? 46.47 1.91 o 59 1-55 2-95 2-39 3-92 4.92 4.46 3-80 9-38 8.06 9.02 10.42 9.86 "39 12.39 n-93 11.27 9.67 8.35 93' 10.71 10. 15 11.68 12.68 12.22 11.56 36 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 18. 267 V ANDROMEDA PHOTOMETER MEASURES OF COMPARISON STARS.- Continued. 1902 February 12. 40-INCH. Fair to good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 4 42 e m d D B C V E d tn e a 2 dat 17.5 18.0 19.0 24.8 25.2 25.0 19.2 20. o 19.3 38.8 39.7 40.1 31.8 32.8 32.0 37-i 38.2 37.0 30.8 32.3 32.0 35-0 35-3 34-8 19.5 21.8 20. o 23.2 24.4 23.7 16.0 15.9 16. i 27.2 28. i 27.2 32-8 31.7 33.8 18.17 25.00 19 50 39 53 32.20 37-43 3i-7o 35 03 20.43 23-77 16.00 27-50 3-77 17.09 24-39 19-97 1-35 2.'5 i .69 3-72 2.88 3-48 2.83 3-20 ii .42 12.22 11.76 13 79 12.95 '3-55 12.90 I3-27 11.71 12.51 12.05 14.08 13-24 13-84 13-19 '3-56 2.42 2.95 1902 December 26. Clear, unsteady. 2 45 3 25 e m d D B C V E E C B D d m e Caz 21.4 22.8 22.5 36.4 35.8 35.8 2 9-9 30-9 31.0 58.7 57-2 58.2 42.2 43.6 44.6 52.5 53-3 53-7 47-2 45.2 48.2 49.9 49.8 49.7 49-9 50 8 49.8 54-2 53-8 55-8 45.8 45.2 45.8 54-7 55-7 57-2 3i-3 32-8 31.7 35-4 36-2 37.0 25.0 26.0 25.0 39.8 40.7 40.2 22.23 36.00 30.60 58.03 43-47 53-17 46.87 49.80 50.17 54.60 45.60 55-83 31-93 36.20 25-33 40.23 23-78 36.10 31.27 56.93 44-54 53-89 2. IO 3-32 2.78 5-34 4.28 5-15 4-50 4.80 11.17 12,39 11.85 14.41 J3-35 14. 22 '3-57 13-87 ii .46 12.68 12. 14 14.70 13.64 H-5I 13.86 14. 16 49 99 3-80 1905 January 28. Good. 4 55 5 '7 49 53 e m d B D E 1! C C v E D B d m e 18.3 19.8 20. o 24.0 24.5 24.4 21 .9 22.2 22.8 34-6 33.2 34.2 44.1 45.1 45.8 37.8 38.8 37.3 35 o 37.0 36.0 40 . 2 40 . 8 40 . 7 40.1 40.3 39.9 37-7 36.0 36.0 34-' 34-i 35-2 43-9 44-5 45-2 34-2 32.0 31.8 19.0 18.7 19. i 22.5 21.8 21.3 17.2 17.8 17.5 19-37 24.30 22.30 34-oo 45-00 37-97 36.00 40.57 40. 10 3 6 -57 34-47 44-53 32-33 18.93 21.87 17-50 18.44 23.08 20.62 33- 16 44.76 36.22 36.18 40.34 1.50 2.O4 I. 7 8 3.00 4-30 3-33 3-33 3-8l n. 53 12.07 ii. 81 t3 03 14.33 13-36 13-36 13-84 11.82 12.36 12. IO I3.32 14.62 13.65 >3 65 I4.I3 CHAPTER III. V ANDROMEDA. 37 TABLE 18. 267 V ANDROMEDA. PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1905 January 31. 40-INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 4 50 5 04 50 52 e m d B D E V C C v E D B d m e 26. i 27.2 26.4 33-0 33 ' 33-0 27. 2 28.0 27.7 39.8 40. I 40.4 52.2 53.7 52.8 44.0 44.3 44.0 40.8 41.8 41.7 44.8 46.9 45.9 45.6 44.8 45.0 41.7 41.6 41.5 42.4 41.4 41.9 52.2 52.6 51.5 36.0 37.9 36.2 23-7 24.3 23.7 28.8 27.7 3O.O 21 .6 21.8 22.7 26.57 33-03 27 63 40. 10 52.90 44.10 4i 43 45.87 45.13 41 .60 41.90 51. 10 36.70 23.90 28.83 22.03 24.30 30.93 25-76 38.40 52.00 43.00 41-52 45-50 2.14 2-75 2.27 3-59 4-99 4.11 3-95 4-38 "55 12. 16 11.68 13.00 14-40 13-52 13-36 13-79 11.84 12.45 ii 97 13.29 14.69 13.81 13-65 14.08 TABLE 19. 267 V ANDROMEDA. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. Star. 1904 October 6. 1904 October 30. 1904 October 30. C. Obs. Mag. A Mag. C. Obs. Mag. 4 Mag. C. Obs. Mag. A Mag. H. P. H. P. H. P. H. P. H. P. H. P. B' 0.77 0.63 0.18 7-91 7-77 6.96 8.20 8.06 7-25 . ii -03 + .14 - 03 + .03 .01 0.98 0.77 0.08 7.92 7-7 7.02 8.21 8.00 7-31 -.10 -.09 f .20 .02 -03 + .06 1-37 1.16 0.36 7.96 7-75 6-95 8.25 8.04 7-24 .06 -1- .02 - .05 +.01 + .13 - .02 E' F' Means . . M. 0.41 7-55 7-14 7.84 7-43 .09 i O2 0.61 7-55 6-94 7.84 7-23 .13 .04 0.96 7-55 6-59 7.84 6.88 .08 .02 12-INCH. 40-INCH. . Star. Mag. 6-inch. C. Star. Mag. 1 2-inch. C. Sept 1 1. Octso Nov. i. Nov. 2. Feb. 12. Dec. 26- Jan. 28. Jan. 31. 9-75 8.87 9.29 8.41 2 I O .06 92 38 36 1.85 o.75 i .02 O.2I 2.68 i-77 2.12 I . II 2.39 1.55 1.91 0.59 d ii. ii . 12. 85 28 26 1.69 1-35 2.15 2.78 2.10 3-32 1.78 1-50 2.04 2.27 2.14 2.75 g e . . m Me Me M. z anC . Mean C I 9 7 .18 .08 .90 0.96 9.08 8.12 1.92 9.08 7.16 1.61 9.08 7-47 i-73 11.80 10.07 2-73 11.80 9.07 1.77 ii .80 10.03 2.39 1 1. 80 9.41 Mean Mag M . 9.08 an Mag II. 80 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 20. 267 V ANDROMEDA. MEAN MAGNITUDES. 6-INCH. Star. October 6. October 30. October 30. Mag. A Mag. Mean. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag.H. Mag. P. A Mag. B'.. E'... F'... a. ... 6.... y z 7-91 7-77 6.96 Mean. O.O2 + 0.03 O.O2 7.92 7-7i 7.02 O.OI 0.03 + 0.04 7.96 7-75 6-95 4-0.03 4-0.01 0.03 7-93 7-74 6.98 8.22 8.03 7-27 0.02 0.02 0.02 7-55 7.84 O.O2 9.66 8.88 9-27 8.56 Mean. 0.09 + O.OI O.O2 + o. 15 9.86 8.90 9-43 8.41 + O. II 4-0.03 4-0.14 o.oo 9.72 8.82 9.17 8.25 0.03 0.05 O. 12 o. 16 9-75 8.87 9.29 8.41 10.04 9. 16 9-58 8.70 0.08 0.03 0.09 O. IO 9.08 9 38 0.08 i 12-INCH. Star. September 1 1 . October 30. November i. November 2. Mean. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag. H. Mag. P. A Mag. a. ... 6.... y 2. ... e. . . . d.... m . . . }.... 9.96 8.82 9.28 8.26 Mean. II .22 11.65 12. 12 10.40 Mean. + 0.05 0.09 4-O.OI + 0.03 9 97 8.87 9.14 8-33 4-0.06 0.04 -0.13 + O. IO 9.84 8-93 9.28 8.27 0.07 4-O.O2 4-0.01 4-0.04 9.86 9.02 9-38 8.06 0.05 4-0. ii 4-o.n -0.17 9.91 8.91 9.27 8.23 IO.2O 9. 2O 9 56 8.52 0.06 0.06 0.06 0.08 9.08 9-37 0.06 0.06 O.2O o. 14 O.OI II. 18 11-75 12. IO 10.39 O. IO O. IO o. 16 O.O2 "33 12.09 12.45 10.43 4-0.05 4-0.24 4-0.19 4-0.02 "39 n-93 12-39 10.42 4-o. ii 4-0.08 4-0.13 4-0.01 11.28 11.85 12.26 10.41 11-57 12. 14 12-55 10.70 0.08 0.15 0.14 0.01 ii .46 ii-75 O. IO 40-INCH. Star. February 12. December 26. January 28. January 31. Mean. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag. H. Mag. P. JMag. d e m . . . B.... C.... D... E.... 11.76 11.42 12.22 Mean. 12.95 13-55 13-79 13.27 Mean o.oo 0.04 +0.04 11-85 It. 17 12.39 4-0.04 o. 16 4-O.I2 11.81 Ji-53 12.07 4-0.05 4-0.07 O. II 11.68 "55 12. id -0.08 4-0.09 O.O2 11.76 ii .46 12. 18 12.05 iJ-75 12-47 0.06 O. II 0.08 11.80 12.09 0.08 O.II 0.29 -0.49 O.2I 13-35 14 22 14.41 I3-87 4-0.09 4-0.05 0.18 4-0.09 13-03 13-84 14-33 13 36 0.03 o.oo 4-0.05 O.I2 13.00 13-79 14.40 I3-52 O.O6 0.05 4-o. 12 4-O.O4 13.06 13-84 14.28 I3-48 13-35 H-I3 H-57 13-77 0.06 0.03 O. 12 0.06 11.66 13-95 0.07 CHAPTER III. V ANDROMEDA. TABLE 21. 267 V ANDROMEDA. VISUAL OBSERVATIONS OP THE VARIABLE. No. i 2 3 4 5 6 8 9 10 ii 12 13 H 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3' 32 33 34 35 36 37 38 39 40 42 Date. Ocular. Aperture. Comparisons. Reduction, Steps. Means. Seeing. t. A Mag. Month and Day. Hour C. S.T. Julian "Day. G. M. T. Steps. Mag. 1897 Jan. 19 21 22 28 30 May 24 July 21 27 Aug. 3 8 ii 19 27 Sept. 5 13 16 20 21 25 29 30 Oct. 14 25 Nov. 16 Dec. 29 1898 Jan. 1 6 18 Feb. 15 23 Mar. 4 '3 16 23 28 Apr. 15 June 27 July 6 12 25 Aug. 9 17 8 8 7 7 7 15 10 10 9 16 9 9 9 7 8 7 9 8 7 8 7 16 7 7 7 7 7 7 8 7 7 7 7 7 7 16 '3 ii ii 12 IO II 2410000+ 3944-58 3946.58 3947 54 3953-54 3955-54 4069 . 88 4127.67 4I33-67 4140.63 4I45-92 { 4148.63 4156.63 4164.63 -j 4I73.54 4181.58 4184.54 4186.63 4188.58 4189.96 4193.58 4I97.56 4198.94 4212.54 4223.54 4245.54 4288.54 4306.54 4308 . 54 4336.58 4344-54 4353-54 | 4362 . 54 4372.54 4377-54 4395-92 4468.89 4477-71 4483-7I 4496. 85 j 45"-77 45I9-7I 80 40 150 150 150 150 40 40 40 150 80 150 150 40 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 40 150 150 40 40 40 40 80 80 275 80 275 460 '75 275 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 12 12 12 12 12 40 12 12 /2D, 1)1-26 29. i, 28.0 28.5 ii .00 moon poor good fair fair good good fair poor good good moon moon fair o 2 3 9 ii 126 184 190 197 202 205 213 221 230 2 3 8 240 -0.33 -0.23 + O. 12 + 0.16 + 0^6 + 0.49 + 0.52 + 0.50 + 0.51 + 0.40 + 0.65 + 0.32 + 0.52 v not seen 1)30" DO 16 /4D 26 o 27 o, 27 . i ... 26.7 22. I 21 . I <2 3 34-7 38.6 36.9 35 9 35-7 34-2 33-4 29.1 29. i 27.1 11.25 11.79 ii .91 -1C J. l6 I 030 D3/ 32.4. 34-1 ) -1-1 A "7 7 6 . . i dIOV, DI-2/ /2V D limit 27-4, 29.6 /4~ 5D, 1)26, vdg (&6o aio/ /2e fh 7130 26.6, 28.5, 26.4 . . f f/5, DI 26, 1>4d, Vlt, VU. . ~| j i>3, 7146, 63d, d4O, 03771.. 1 j tyu, d$g, g2h, p^q, pi-2r . j Lp2-u limit 4 TJ glimpsed 22. 0, 19.9, 2O. O . . dyv, 041), h2v, v^B, vA .... 43-41;, -viB BID, D4C, limit C D not seen, limit 6, v^a, byv . . . . vy A *2V v^a 641? . . 42-4, 43-6, 43.6 . . 41.5, 40.9, 42.4, 39.6 42.5, 40.9, 41.4, 41.6 41.5, 41.9, 41.4, 40.6 39-9, 40.1, 39-5, 39-4 37-9, 37-5, 36-4, 38.1 32.4, 30.7, 35-i .. 30.4, 27.2 27.5 . .. A'qv, 64 5V, y2V, V2d. . . A'6v, y^v, aiv, v6-8/.... ajv, vn, 1)4-50" Did /ID, D3~ 471, D5 D6/, DIO, 64-50 h-2D, via DO 30.1, 30.7, 31.5 33-4, 35-i 37.1, 38.4, 40.1 40.9, 39.4 174. ) ^3 41), DIO 38 . 4, 37 9 . . . ) DIO, /4D, 64-5D Z2-3D, D20, &4-5D DO IO 38.4, 37-4, 40-1 38-9, 37-4, 40.1 .- O <\V Dd/ D W 32-4, 35-i, 32-2 32-4, 35-i, 32-5 27-2, 28.5, 32.0 . . 22.5, 27.2, 26.5 . . 22.5, 25.0, 25.2 22. 0, 21 .9, 18.9 . . 05D, vyn, v(>e vn, V2e, vS-iod e4D, vn, ? D3~4d eqV D2d 712D dlD, Vim, OI-2D TO 2 3D , limit D my), d4D, limit i) D not seen, limit 2 < m. . . 17-4, 19-0 ( fj 2V 1)40, j 4^ , ^ 5-^-' \ \ 02O, d^ffl, fftoB, />'/'.) ( 30, 1)3(7, E2V, v6C. . 1 ^ d6m, m8-ioB, B^E ..)- (4-5.0, limit 6-8 ) V2E, vB, miov Bv, V2E, limit E 71 8.7 .. 6.1, 7.7, 7.1,10.7. . II. i, 11.5, 10.9 . . 11.5 ii i d2D, Dim OIOD, D/, i'6 8e, viod. .. A 'ID, vy, v6a 64 SD, DIO v^d, vim, vf d2D, vig 0*51), D6-8B D glimpsed, limit 3 4E, viC v not seen, limit B vi 2B, Tj^C,v5E, m6-8v. 13-0, 9.7,14.1,13.8 14.0, 10.7, 12.8 30.0, 26.4 v6-8d, 010-121; RESEARCHES IN STELLAR PHOTOMETRY. TABLE 22. 267 V ANDROMEDA. MEAN MAGNITUDES PROM 21.5 DAY GROUPS. Grou] r D > No i 21 -5 2 4.1 3 64. S 4 86 5 107.5 6 129 7 150.5 8 172 9 193.5 IO 215 ii 236.5 12 258 r t 6 187 204 226 247 M 9-95 IO.O8 10.64 II .43 3944 < AM + 0.62 + 0.50 + O. t-2 + 0.52 No 2 4 2 7 r / 16 138 161 175 194 M ii .02 9.89 8.81 8.7 4202 < JM 4-O "\5 O. IO o. 24 0.79 o.7 No 2 2 4 i i r t 14 30 59 14! 160 182 205 228 254 M 1 1 06 12 78 il 81 1 1 4O 10.38 9.27 9.39 10. 16 ii .01 4460 < JA/ -f-O 12 + o 18 + o 53 + O.42 + o. 20 0.21 O.20 + 0.10 -0.18 No 2 2 i 2 2 3 3 2 i < Q 148 1 60 184 206 225 242 M II C7 10.72 IO.27 9.60 9.76 9-75 10.50 4718 < AM O II + O.O4 + O.O9 + O. 12 + 0.16 -0.38 -0.28 (_ No I j I 2 2 2 2 4976 < r J JM . No. !< IO 11.27 -0.44 3 36 12. IO 0.48 2 4 6 12.28 0.62 i 64. 75 13-49 + O.OI 3 go 99 13.08 + 0.01 2 "7 11.28 -0.88 2 185 9-15 -0.17 I 1 02 221 9.60 -0-37 I 256 10.97 -0.30 I M ! 14- Q.27 5234 " 4M o 28 O.O8 No 2 I 2 I [/ 197 M 9.OO AM 0.42 No I < 4 8 M it 14- 575 ' JA/ -j-o 31 No. 2 / H2 M 1 1 60 I 3 d.^ AM + o 67 4. I 03 No !t IH M JA/ No. [< 2O5 237 M IO.24 IO.52 6524 ' AM +0.67 O.O2 No. 2 I !< 18 M 12 S AM O. 12 + o 04 o 20 No. Means f ] AM I No. II u-75 + O.OI 12 32 12.37 -0.13 7 53 13.26 +0.16 6 82 13.48 + 0.06 6 99 13.08 + O.OI 2 116 12.17 O.O2 4 140 11.02 O.OI 6 160 10.18 + O.O2 7 184 9-34 0.08 IO 2O2 9-53 + 0.03 13 225 10.04 0.03 7 245 10.89 0.05 12 CHAPTER HI V ANDROMEDA. 43 SI m e a\ to xio | - Uj ^. 2 g FIG. 8. LIGHT-CURVE OF V ANDROMKD*. 44 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 23. 267 V ANDROMEDJB. OBSERVED MAXIMA AND MINIMA. Elements of maximum. 1897 July 26 (J. D. 2414132H259 1 (E-i). M-m=lll d . MAXIMA. MINIMA. . Date. Mag. Date. Mag. O Corr Wt ^3 Corr. Wt. K Calendar. J. D. H. P. W Calendar. J.D. H. P. I 1897 July 26 4132 97 IO.O 10 i 1897 Apr. 10 4025 me + 4 3 2 1898 Apr. 15 4395 8 70 8.99 + 4 12 2 Dec. 8 4267 me -13 4 3 Dec. 20 4644 9. 10 9-39 - 6 2O 3 1898 Sept. i 4534 13.90 14.19 - 5 10 4 1899 Sept. 20 4918 9.40 9.69 + 9 17 4 1899 May to 475 me -13 2 5 1900 May 17 5157 8.9 9.2 ii 8 5 1900 Feb. 5 5056 13.4 13.69 i 21 6 1901 Feb. 6 5422 9-3 9.6 5 I 6 Oct. 24 S3 1 ? 13-67 I3-96 + i 5 7 Oct. 22 5680 9.0 9-3 - 6 I 7 1901 June 24 5560 me -"5 i 10 1903 Dec. i 6450 me -'3 i 8 1902 Mar. 9 , S 8i8 13.6 13-9 -16 2 ii 1904 Sept. 9 6733 10. 10 10.39 + n 6 9 Dec. 4 6088 14.0 14-3 - 5 3 12 1905 May 5 6971 9.06 9-35 10 4 12 1905 Jan. ii 6857 13-32 13.61 - J 3 4 DAYS /0 300 | I 1 167 / AND Min. M-m- ffOM = 7* . /// 1 1 1 f 5 -1 X /4 .- FIG. 9. MEAN LIGHT-CURVE OF V ANDROMEDA. See Table 22, page .42. CHAPTER IV. 787 W ANDROMEDA. R. A. 2 h 11> 14M; Dec. +43 50' 26" (1900). This is another of Anderson's discoveries, announced in the Nachrichten under date January 8, 1898. Observations began at once with the star on the descending branch of the light-curve. The first minimum was below the limit of the 6-inch, but the following maximum was well covered and the second minimum was ob- served with the 12- and 4O-inch telescopes, then followed occasional observa- tions, frequent enough to fix the number of the epoch, till the minimum and maximum of 1904 and 1905, for which more numerous observations were made. Comparing with the earlier dates the period 396 days was found and the mean light-curve deduced, using comparisons up to February 25, 1905. The subsequent maximum, 1905 May 31, indicates a slightly longer period, perhaps 397 days. The characteristic features of the light-curve are : first, a large range, from about 7th to fainter than i3th magnitude; second, a steady variation, unbroken by secondary curves, therefore the normal points from Table 31 lie close to the mean light-curve. The comparison star c has been suspected of variability by Hagen (A. N. 164, 79), and confirmatory observations are given by Williams (A. N. 164. 370- Pro- visional magnitudes were published by the writer in A. J. 24, 25. To give an idea of the possible variation, these are summarized below, Williams' observations being reduced to magnitudes by assuming his star a (my 6) to be 9.53, and his star b (my /) to be 9.57. Hagen. Williams. Parkhurst. Date. Mag. Date. Mag. Date. Mag. 1900 Nov. 12 99 1900 Dec. 13 9-55 1899 Feb. 6 9-5 1901 Feb. 6 9.2 21 9.70 Oct. 1 8 9-5 10 9.2 1901 Jan. 14 9.60 23 9-4 Oct. 15 9.2 Feb. 13 9.38 28 9-3 Nov. 21 9.2 15 9.42 Nov. 4 9.2 1902 Oct. 8 8.9 1902 Jan. 31 9.68 1900 Feb. 1 6 9.6 1903 Sept. 22 8.8 Dec. 29 9,62 1902 Feb. 4 9-27 24 8.8 3' 9.70 Mar. 4 9.14 Oct. 20 8.8 27 9.20 Nov. 1 8 8.9 Oct. 29 9 '3 1903 Nov. 17 9.24 18 9-3 19 9.26 Dec. 6 9-23 21 9.40 Nov. ii 9-15 1904 Oct. 30 9.19 45 4 6 RESEARCHES IN STELLAR PHOTOMETRY. With one exception, the range in either series does not exceed 0.4 magni- tude, a rather slender basis to prove variability, thus throwing the burden of proof on the first observation in Hagen's series. But this is not confirmed by the nearly simultaneous observations by Williams, so that the matter is left in doubt. An idea of the color of the stars can be obtained from the following summary of visual and photographic results. The visual magnitudes are photo- metric, the photographic are from a Seed 27 plate and a Cramer isochromatic plate. Star. Vis. Seed. ISO. a 9-i5 9. 12 9-13 8-93 8-95 8.95 b 9-53 9-53 9-53 g, 11.05 11.05 11.05 i 10. 12 9.58 9.70 c 9.28 9.80 9.66 The stars a, o, b, and g, with their visual magnitudes, were used as standards from which to obtain the photographic magnitudes of / and c. It will be noticed that the star c is shown to be yellow as its photographic magnitude is 0.4 to 0.5 fainter than the visual, while the star / is blue, photographing 0.4 or 0.5 brighter than the visual magnitude. This is confirmed by the visual observations of Hagen and the writer, compared with the photographic results of Williams. TABLE 24. W ANDROMEDA. STANDARD MAGNITUDE STARS. 1900. Magnitude. Residuals. Star. B. D. No. R A Color P. DM. Catalogue. Measured. From Cats. 3 Nights H.C.O- P. DM. H. P. H. P. se. 3 h m s e i D E + 42 480 + 42 506 2 O9 48 2 16 31 + 42 13-9 + 43 03.6 GW- GW- 7.61 7-44 8.14 7.92 7-73 7-44 8.14 7-85 + 12 o -7 7 2 r + 43 474 2 15 H + 44 08.5 GW 6.96 7.20 6.85 7.26 II + 6 9 Means .... 7-34 7-75 7-34 7-75 8 4 6 TABLE 25. COMPARISON STARS IN B. D. CATALOGUE. ^tar B. D. 1855- B. D. 1855. No. Mag. R. A. Dec. No. Mag. R. A. Dec. h m s / h m / a b c + 43 457 + 43 46o + 43 461 + 43 462 8.9 9.0 9-5 9-5 2 7 18 2 7 Si 2 8 21 2 8 37 + 43 45-6 + 43 54-3 + 43 41.6 + 43 37-5 r P 1 + 43 474 + 43 478 + 43 482 6.5 8.0 8.2 2 12 24 2 12 53 2 14 II + 43 56.o + 43 36.6 + 43 43-1 STELLAR PHOTOMETRY. N ora a b< r. u . * + 20' -+ 10' 10 -Spqle, i 1902 January 12 R. A. 787 W ANDROMED^E. " * m i 4 s.i. Dec. +43 50' 26", 1900 CHAPTER IV. W ANDROMEDA. 47 TABLE 26. COMPARISON STARS FOR W ANDROMEDA (IN ORDER OP RIGHT ASCENSION). Star. Coordinates from Variable. Light Scale, Steps. Magnitude. R. A. Dec. Measured. From Curve. H. P. H. P. H s It a -721 - 66.6 + 468 37-8 9 15 9-56 n -421 - 38-9 - 131 21.8 ii .09 11.50 d -387 - 35-8 - 15 25.8 10.61 II .02 - 3 66 - 33-8 + 1007 42.0 8-93 9-34 I ^41 31 .5 238 m Of -330 - 3i-4 + 39 19.9 . . . . , I I . 21 II .62 k Tl6 29. 2 2^S h o * w -173 16.0 OJ - 229 15 9 11.80 12.21 y -117 - 10.8 - 44 2.5 13.61 14.02 x n6 10. 7 26 w - 7i - 6.6 - 3i 12.95 13-36 ..... ft - 63 - 5-8 + 22 14.2 14.6 a - 60 - 5-5 8 o 13.58 13 99 6 - 5i - 4-7 + 206 34-4 9-53 9-94 Y - 3i - 2.9 + '3 14-55 14.96 U - 9 - o.g 129 '9-8 12.42 12.83 Z + 59 + 5-5 - 84 i-5 13-34 '3-75 c + 130 + 12. + 9 34-7 9.28 9.69 g + 183 + 16.9 - 188 2O. 2 11.05 11.46 / + 402 + 37-1 - 43 29-3 IO. 12 10.53 r + 240 + 1140 54-2 6.85 7.26 P + 269 - 70 46-5 7-89 8.30 9 + 346 + 320 48-5 7.67 8.08 TABLE 27. 787 W ANDROMED/B. PHOTOMETER MEASURES OP COMPARISON STARS. 1903 December 6. 6-INCH. Good; moon rising at end. Sidereal Time. 1 Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. "h m 23 23 23 52 O 30 3' 26 D E rai 1 P c b a o a b c r a i E D 13.8 14.1 14.1 12.3 12.0 12.2 14.0 13.2 13.7 14.4 13.9 14.2 15.2 15-3 15-8 25.1 26.0 25.9 27.2 27.8 27.7 24.2 25.7 25.8 25.0 25.8 25.6 25.3 24.3 25.5 26.2 26. I 25.5 29.0 28.8 29.8 27.9 28.7 28.0 14.0 14.4 13.7 12.2 12.4 II.9 14.3 14.1 14 o 14.00 12.17 13-63 14.17 IS 43 25-67 27-57 25-23 25.47 25-03 25-93 29.20 28.20 14-03 12.17 14-13 14.07 12.17 13-83 0.81 0.52 0.76 0.82 i .00 2-34 2.50 2. 2O 2.16 7.70 7.41 7-6 5 7-7i 7.89 9-23 9 39 9.09 9-05 8. ii 7.82 8.06 8.12 8.30 9.64 9.80 9 50 9.46 26.94 28.39 25-58 25-25 48 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 27. 787 W ANDROMEDA. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1903 December 21. 6-INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings- Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6- H. P. h m o 38 i 18 O 15 13 10 D E q p r a i f c V b a a b c r a r P i D 12.3 12.3 it. 8 9.8 10.4 10.0 12.7 13.2 13.6 15.3 14.8 14.4 ii .8 12. i 11.7 32.3 32.7 32.4 27.1 26.9 26.7 41 .0 42. I 42.0 28.1 28.0 27.8 24.3 24.8 24.9 23-2 23.7 23.9 21.8 22. I 22.8 24.9 24.9 25.0 27.3 27.9 28.0 26.5 27. I 26.7 14.0 13.6 13.3 14.2 15.2 14.5 12.8 12.3 12.7 11.4 10.7 II . I 13.2 12.8 13.4 12.13 10.07 I3-I7 I4-83 11.87 32-47 26.90 41.70 27-97 24.67 23.60 22.23 24-93 27-73 26.77 13-63 14-63 12.60 ii .07 I3-I3 12.53 10.57 12.89 H-73 12.75 0-57 o-35 0.62 0.90 0.61 2-99 2.32 4.00 2-44 2. 12 I.9I 7-65 7-43 7.70 7.98 7.69 10.07 9.40 11.08 9-52 9. 20 8.99 8.06 7.84 8. ii 8-39 8.10 10.48 9.81 11.49 9-93 9.61 9.40 26.84 27.85 24.80 22.92 1904 October 30. Quiet, dull. 22 48 23 17 37 35 33 o a b c r P 9 E D D E 1 P r c b a 27. I 28.0 27.3 30.7 30.2 30.0 32.0 32.9 33.0 31.1 31.7 31.1 10.8 IO.I IO.2 18.7 19.5 19.6 16.3 17.7 17.3 17.0 17.1 17.1 19.1 19.6 19.9 18.2 18.4 19.0 IS-' 15-7 5-8 15.0 16.2 15.9 18.1 18.5 19.1 ii .0 11.3 ii . i 30.9 31.4 31.8 32.7 32.9 32.7 30.0 29.7 30.2 29.0 27.8 28.3 27.60 30-30 32-63 3I-30 10.37 19.27 17.10 17.07 19-53 18-53 15-53 I5-70 18.57 11.13 31-37 32-77 29.97 28.37 27.99 30.14 32.70 31-34 10.75 18.92 16.40 16.30 19.03 2.56 2-73 3 .02 2.84 0.36 i-47 1.14 I . 12 1.48 8.91 9.08 9-37 9.19 6.71 7.82 7-49 7-47 7-83 9-32 9-49 9.78 9.60 7.12 8.23 7.90 7.88 8.24 1903 November 17. 12-INCH. Good. 23 36 o 3 28 23 a b c f P ?3-97 14.81 12.67 50 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 27. 787 W ANDROMEDA. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1902 December 26. 40-INCH. Clear; somewhat unsteady. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. It m 5 50 O / g C a i ba- il TV y u z b 6-mcn. Nov. i 7 . Nov. I& Nov. 19. i2-mch. Nov. 7. Dec. 26. Jan. 31. o . . 8.98 i 44 i 65 i 50 I '.. QC7 OIO O."^ O^^ a 9.12 i 60 i 83 i . 83 c 928 0,15 0.24 o 68 i> . . 7.00 0.48 o. s6 O.4S / IOI2 O.S6 1-23 O57 q 7 63 o 26 o 37 o 18 6 Mean C o 95 i 10 I 20 1 lean C 0.72 i .00 o 32 Mean Mag. 8.41 8.41 8.41 8.41 ] M 7.46 7.31 7.42 ^ lean Mag. 10.00 10.00 10.00 10.00 1 9.28 9.00 9.68 MAGNITUOC H is 12 n 10 9 a 7 SO ::::::::::::::::::::::;gj::::: ::.::._::: t\ i '.". " - 787 W ANDROMEPA E ; ~~ f' -__^ 1 L^ ::::ffS ::::;;::+:::::::::::::::;:::: J0 r|5 - :::::;i * A. 1 1- S 2'ir c :::~ ::::;:: - ......."....... ,i.Z..... In . <" 7 J 10 :i::.; F-* ! -' ;S:: : "3- -C ^< x r : zip. .4: ^:;n^g+ ..:....:::::: | t :::;;:::::: :: | ::::::::::::: jiiii:: ::::::: ::::::: :::::::|r! E g:::|:::::::::::::::::: :::SsE:: ,::::::::::::::::::::::: ::::: :;i!s?:::::: ::::::::::: ^ FIG 10. MAGNITUDE-CURVE FOR W ANDROMEDA. RESEARCHES IN STELLAR PHOTOMETRY. TABLE 29. 787 W ANDROMEDA. MEAN MAGNITUDES. 6-INCH. Star. December 6. December 21. October 30. Mean. Mag. J Mag. Mag. J Mag. Mag. 4 Mag. Mag.H. Wag. P. J Mag. D E r a b c P 1 7.70 7.41 6.90 Mean.. 9.09 9-39 9.23 9-05 7.89 7-71 Mean.. -0.03 -0.03 + 0.05 7-65 7-43 6.94 -0.08 O.OI + o 09 7-83 7-47 6.71 4-o. 10 4-0.03 o. 14 7-73 7-44 6.85 8.14 7-85 7.26 0.07 0.02 0.09 7-34 7-75 0.06 o . 03 0.04 0.04 + 0.07 O.OI +0.08 9.20 9-52 9.40 8.99 7.98 7.70 + 0.08 + 0.09 + o. 13 + O.OI 4-0.08 4-0.07 9.08 9-37 9.19 8.91 7.82 7-49 0.04 0.06 -0.08 0.07 0.08 o. 14 9.12 9-43 9-27 8.98 7.90 7 63 9-53 9-84 9.68 9-39 8.31 8.04 0.05 0.06 0.08 0.05 0.06 O. 10 8.72 9-13 0.07 12-INCH. Star. November 17. November 18. November 19. Mean. Mag. J Mag. Mag. J Mag. Mag. J Mag. Mag. H. Mag. P. J Mag. a P 1 b c f g 8.90 9.06 7-94 7-72 Mean.. 9-54 9.26 9-97 11.03 Mean.. + 0.03 O. IO +0.05 +0.05 8.96 9.14 7.87 7.68 4-0.05 o.oo O.O2 4-0.01 8.92 9-25 7-87 7.60 O.OI 4-o. 10 O.O2 0.07 8-93 9 i5 7.89 7.67 9-34 9-56 8-30 8.08 0.03 0.07 0.03 0.04 8.41 8.82 0.04 -t-O.OI O.O2 -0.15 O.O2 9-57 9 3' 10. 16 ii .06 + 0.04 4-0.03 4-0.04 4-o. 01 9.48 9.28 IO.22 II. O6 0.05 o.oo 4-o. 10 4-0.01 9-53 9.28 IO. 12 11.05 9-94 9.69 10.53 ii .46 0.03 0.02 0.10 0.01 IO.OO 10.41 0.04 40-INCH. Star. November 7. December 26. January 31. Mean. Mag. J Mag. Mag. J Mag. Mag. 4 Mag. Mag. H. Mag. P. A Mag. 6 c i g u W y z 1 9-47 9-i3 10. 14 11.28 Mean. 12.34 12.96 I3-58 13-27 14.42 Mean. + 0.09 + O.OI 0.07 O.O2 9-33 9.24 10.23 I I . 21 -0.05 + O. 12 4-O.O2 0.09 9-33 9.00 10.25 11.40 0.05 O. 12 4-0.04 4-o. 10 9 38 9.12 IO.21 11-30 9-79 9-53 10.62 11.71 0.06 0.08 0.04 0.07 IO.OO 10.41 0.06 0.08 + O.OI 0.03 0.07 -0.13 12-57 12-97 13-54 13-44 4-0. 15 4-0.02 0.07 4-o. 10 12-35 12.93 I3-70 I3-3I 14.68 0.07 O.O2 4-0.09 -0.03 4-0.13 12.42 12.95 13.61 13-34 H-55 12.83 I3-36 14.02 13-75 14.96 0.10 0.02 0.06 0.07 (0.13) 0.06 CHAPTER IV. W ANDROMEDA. 53 TABLE 30. 787 W ANDROMEDA. VISUAL OBSERVATIONS OP THE VARIABLE. No Date. tH g Aperture. Comparisons. Reduction, Steps. Means. Seeing. t. A Mag. Month and Day Hour C.S.T Julian Day, G. M. T. Steps. Mag. i 2 3 4 5 6 7 8 9 10 ii 12 '3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3i 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 1899 Feb. 6 15 24 28 Mar. 6 13 18 28 Apr. 4 12 May 21 June 10 July 5 29 Aug. 10 30 Sept. 4 13 25 Oct. 2 18 23 28 Nov. 4 '5 26 Dec. 4 '9 23 29 1900 Jan. 4 22 31 Feb. 1 6 2 5 Mar. 9 22 3' Apr. 17 May 20 28 June 19 July 25 Aug. 29 Oct. 4 25 1901 Feb. 9 7 7 7 8 8 8 8 8 8 8 15 15 15 10 9 9 9 8 7 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 7 7 8 9 >4 '4 14 15 '5 8 7 7 2410000+ 4692 . 54 47i 54 4710.54 47I4-56 4720.56 4727-56 4732-56 4742.56 4749-56 4757-56 4796.88 4816.88 4841.88 4865.67 4877-63 4897 . 63 4902.61 4911.58 4923-54 4930.58 4946 54 4951-54 j 4956.54 4963 56 4974-54 4985 - 52 4993 54 5008.54 5012.54 5018.54 5024.54 5042 . 54 5051.52 5067 . 54 | 5076.58 5088.54 5oi.54 5o.56 | 5127.61 5160.83 5168.83 5190.83 5226.88 5261.88 5297-58 5318.52 5425-54 80 'SO 'SO 150 'SO ISO 'SO 'SO 'SO 150 'SO '50 150 '50 'SO '50 'SO 150 '50 80 40 '50 40 40 40 40 40 40 40 40 40 40 40 40 '50 So '50 So 40 '50 '50 '50 275 350 460 460 237 67 40 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 12 6 12 6 6 6 6 12 40 40 40 40 12 6 64-51; , 04-51;, vf, D3-4d,d5&. 04-5-11, /2i>, Did, -v very red d\ J.D /6l) 2)^4(7 29.9, 30.2, 29.3, 29... 30.2, 27.3, 26.8 22.3, 23.3, 23.7 . 23-3, 25.8, 22.2 . 22.3, 23.8, 22.2 . 20. 8, 20.2, 21 .9 . 18.3, 2O. 2, 20.9 . 16.2, 16.9, 16.9 . 29.7 28.1 23.1 23-7 22.7 20.9 19.8 16.6 14.4 35-7, 37-3 37-7, 40-8, 42.0 . . 44.7, 46.8, 50.0 \ 48 . 5, 47 . 5 > vig vim Tn d^^v di2'v 1)4771 D4<7 div, 1)4 SOT, 1)4 5<7 641), 041;, 1)8 lod CID D& ^4~5/ CID 60 ID D5/ Die, ao-iD D3C, D3O, DO DIOC, vga, D8o , D2p, qiv. i D3p, r6D, D2g ro ID D6p . . 49-5, 46-2, 50-5 ryv, D2p T$V, D3~ 4p, D6fl r4~ 5D, DI 2p, 1l6o D6o, D2-3P, rSi> Dip, D3-40 D2p, D2O, O5D, O2D, D2&, D3C D2&, D3C IJI-2D, D& 641), D/, D5-6d D/, D2 3d /4~ SD, Did 47-2, 48-5 48.2, 50.0, 48.0 47.7, 48.0, 48.0 . . 48 . o, 49 . o, 44 . 2 47-5, 45-5 44-5, 44-o 37-0, 35.8, 36.4,]. 37-7, 36.4, 37-7- / 36.3, 34-4 30.4, 29.3, 31.3 . . 29-3, 28.3 24.8, 26.8 > /5D dlD, D3?W 24.3, 24.8, 22.9 f '9-2, '8.9 giv, D3/i D not seen, limit h A8-IOD, UO-IV, V2W U2D, viw, D2J/, limit j/ W2 3D, DI 2z, 115 6D, vy... W&-8D, tO ID, 1)40, V2Z, VI-2y ( 1)2U 6-9-. 9-3, 7-0 7.8, 6.0, 4.5 2-5, 3-o, 4-3 2.5 2.8, 4.0, 4.0 . . .) 3-5, 4-o i moon fair moon good fair D4U, tl2V pi 2D, D3~ 40 13-8, '3-9 45-0, 45.5 54 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 30. 787 W ANDROMEDA. VISUAL OBSERVATIONS OF THE VARIABLE. Continued. No. Date. y "3 u O 1 Comparisons. Reduction, Steps. Means. Seeing. d Mag. Month and Day. Hour C. S. T. Julian Day, G. M. T. Steps. Mag. 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 1901 Nov. i 1902 Jan. 12 Feb. 4 Mar. 4 27 Apri 2 Oct. i Nov. 7 Dec. 26 1903 Oct. 1 1 13 Nov. ii 17 Dec. 6 21 1904 Jan. 8 Aug. 29 Oct. 6 30 1905 Jan. 28 Feb. 9 25 Mar. 3 24 Apr. 7 June 13 Aug. 9 28 Sept. 17 Oct. i 20 Dec. 23 30 7 9 7 9 IO 7 7 8 ii 9 9 8 8 7 7 8 15 '5 9 8 9 8 IO 9 2410000 + 569 54 5762 5785 5813 5836 5842 6023.63 6061 6110 6399-54 6401 .63 6430 6436.67 6554-54 6470.54 6488.54 6722.58 6760.71 6784.63 6874.63 6886.58 6902 . 56 6908 . 54 - 6929.54 6943-58 7010.83 7067.83 7086 . 64 7106.58 7120.63 7137-54 7203.70 7210.63 2 75 237 67 67 67 237 237 237 150 80 67 67 40 40 67 15 40 450 237 275 237 67 275 150 40 20 15 150 150 237 80 237 237 12 24 4 12 12 12 40 40 40 6 12 12 12 6 6 12 6 6 40 40 12 40 12 12 6 6 5 6 6 6 40 12 40 40 (vh, V4U ) ic o. 1-2 8 . . 14.8 ii .92 good 206 278 301 329 352 + 0.18 -0.63 0.61 -limit 3-4 ii, v2h, C2b w,x,y and z seen, a glimpsec cm vib, i>5/ Is. 3 16.7 24.2 34-5 46-5 25-0 23.1 16.5 12.8 II .2 2.2 -2.9 20. 2, 14. 2, 18.4 . . 14-2, 17-9 I 24-8, 23.7 33-7, 35-4, 34-3 (3411, i>4g, C2~3b d23V, V2 F , / a V u a F a , 6 c d lU R 18.3 19.0 19. i 27-7 28.3 27.5 33-4 33-6 32.9 48.9 47.8 48.7 45.0 46.7 46.2 12.2 12.4 12.3 32.1 32.4 33.2 15.6 16.9 16.0 22. O 22.8 23.0 23.0 22.6 23.1 16.7 16.9 I7.O 31-0 33-2 32-1 12.8 13.3 12.3 47.8 47.6 46.9 49 . o 48 . 8 49 . i 32.0 32.0 32.1 26.0 27. i 26.3 18.5 18.7 18.1 18.80 27-83 33-30 48.47 45-97 12.30 32-57 16. 17 22.60 22.90 16.87 32.10 1 2. So 47-43 48.97 32-03 26.47 18.43 18.62 27-15 32.66 48.72 46.70 '2.55 32.34 16.54 22.75 1-55 2.38 2-93 4.68 4-50 0-75 2.89 1.26 2.OO 9-29 IO. 12 10.67 12.42 12.24 8.49 10.63 9.00 9-74 9-59 10.42 10.97 12.72 12.54 8.79 10.93 9 30 10.04 1905 March 3. Good. 9 45 10 24 4i R lU c b d Fa, a U U a t F , d b c lU R '3-7 13-4 13-4 23.3 23.0 22.8 46 . 9 46 . i 45 . 8 45-5 45-o 45-6 29.4 30.0 29.8 9.7 8.9 8.9 29.5 28.8 29.2 15 9 16-3 15-9 2O. O 21. I 2O. I 20 . 5 21.2 20 . 7 16.0 16.8 16.6 31.0 29.9 31.0 IO.I 8.9 IO.I 31.0 31.8 31.1 47-7 48-4 47-3 47-2 46.7 47-7 25.0 26.2 25.7 16.9 17.3 16.9 I3-50 23-03 46.27 45-37 29.73 9.17 29-17 16.03 20.73 20.80 16.47 30.63 9.70 31-30 47.80 47-20 25-63 17 03 15.26 24-33 46.74 46.58 30.52 9-44 29.90 16.25 20.76 I .09 2.14 4-50 4-49 2.7! 0-37 2.6 5 1.23 1-79 9.07 IO. 12 12.48 12.47 IO.69 8-35 10.63 9.21 9-77 9-37 10.43 12.78 12.77 10.99 8.65 10.93 9-51 10.07 1905 March 5. 4O-INCH. Quite good. '5 o 15 30 e b d 1 a 2 e V V ) V y < 3 X a I d b c u 26.5 27.7 25.8 25-7 26.4 26.3 16.3 17.2 16. i 52-8 54.3 53.0 48.5 47.7 48.6 34-8 34-2 34.0 42.1 43.3 43.2 36.7 36.3 37-2 48.3 49.0 47.8 44.0 44.0 44.6 15.8 16.2 16.5 15.0 16.2 16.3 43-' 43-0 44.0 46.2 44.8 45.7 37.2 38.6 38.1 44.1 45.2 46.1 32-2 33-8 33-3 45.1 46.0 45.8 52.0 51.7 51.3 15.5 16.9 16.8 28.1 28.1 28.7 26.5 26.7 26.6 33 9 34-7 34-o 26.67 26.13 16.53 53-37 48.27 34-33 42-87 36.73 48-37 44-20 16. 17 15-83 43-37 45-57 37-97 45-13 33-10 45-63 51-63 16.40 28.30 26.60 34.20 26.64 27.22 16.46 52 50 46.95 33-72 44.00 37-85 46.47 43-78 16.00 2-35 2.38 1.25 5-03 4-47 3-05 4.22 3-53 4.46 4.18 1.19 12.05 12.08 10.95 14-73 14.17 12-75 '3 92 13-23 14. 16 13-88 10.89 12-35 12.38 11.25 15-03 '4-47 13-05 14.22 13.53 14.46 14.18 ii. 19 3 ii 12. 8l 13-11 CHAPTER V. R COM^E. TABLE 36. 4315 R COM.E. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1905 April i. 40-INCH F a j r to good, settings good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 8 56 Q 27 c b u d s a Z V y c J3 c V Tl 2 a 1 d U b c 26.4 27.2 26.3 23.8 24.1 24.7 31.2 32.3 31.4 14.1 12.4 13.2 49.0 51.2 51.3 42.3 43-8 43.3 34-5 33-0 33 2 38.8 41 . i 40.0 45.7 44.1 44.6 36-3 36 4 36-9 45-5 46-4 45-7 10.0 12.6 11.7 11.4 II .1 13.1 44.0 45.1 44.8 35-o 35-9 35-7 45.2 47.0 46.0 39.2 37.8 38.8 32.0 32.4 33.4 40.8 38.1 38.9 43-9 48-3 44-5 14.2 15.0 14.2 29.3 31.0 31.0 18.8 23.0 22.1 23-7 22.9 23.1 26.63 24.20 31-63 13-23 5 50 43-13 33-57 39-97 44.80 36.53 45-87 "43 11.87 44.63 35-53 46.07 38.60 32.60 39-2? 45-57 14-47 30-43 21.30 23-23 24.98 22.75 31-03 13-85 48.04 41.20 33-o8 39.28 45-44 36-03 45-25 11.65 2. 2O 2.OO 2. 7 6 0.89 4 .62 3-91 2.98 3-70 4-37 3-32 4.36 0.62 12.26 12.06 12.82 10.95 14.68 13-97 13.04 13-76 14-43 13-38 14.42 10.68 12.56 12.36 13.12 11.25 14.98 14.27 13-34 14.06 14-73 13-68 14.72 10.98 1905 April 4. Good. 14 26 15 02 45 c b u d i a Z V 1 c fi f (3 e V 11 Z a i d u b c 32.2 31.5 31.9 31.9 32.1 31.9 38-1 37 7 36.7 16.2 17.3 16.8 54-0 53-7 54-3 47-5 48.9 48.3 35-7 36-1 35-3 40.7 40.4 40.9 46.1 47.3 45.8 37-3 38.6 38-7 47.0 47.8 44.4 16.0 15.2 15.9 15.8 16.1 15.7 45.1 44.8 46.9 37-o 37-8 36.7 44.6 47.5 46.3 42-9 42.7 42-1 35-0 34.9 35.0 47-7 47-4 48-4 55-2 57-o 55-o 18.2 17.3 17.5 34.0 35.0 36.2 30.0 30.7 29.8 3-7 3i-7 3' i 31-87 31.97 37-50 '6-73 54.00 48-23 35-70 40.67 46.40 38.20 46.33 15-70 15-87 45.60 37.17 46.07 42-57 34-97 47-83 55-73 17.67 35-07 30.17 3i.i7 3I-52 31-07 36.28 17.20 54.86 48.03 35-34 41 .62 46.24 37-68 45-96 I5-78 2.81 2.76 3-34 1-35 5-21 4.62 3.22 3-95 4-45 3-50 4.42 1.16 12.28 12.23 12.81 10.82 14.68 14.09 12.69 13-42 13-92 12.97 13-89 10.63 12.58 12.53 13." II. 12 I4. 9 8 H 39 12.99 13.72 14.22 13-27 14-19 10.93 64 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 37. 4315 R COM*. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. 1904 July 4. ic (04 July 9. 1905 January 12. Star. Obs. Mag. J Mag. Ob: >. Mag. J Mag. Obs. Mag. J Mag. H. P. H. P. H. P. H. P. H. P. H. P. A.... 0.83 7.98 8.28 + .22 + . 12 0.92 7.7 B. . . . 0.37 6.78 7.08 .13 +.04 0.05 6.9 F.... 0.42 7.57 7. 87-. 07-. 15 0.75 7.6 9 8. 09+. 03-. 07 1.33 7.89 8.19 -f .13 + .03 2 7.22 + .01 + . 18 0.18 6.74 7.04 .17 .00 2 7.92 .02 .10 I. I 2 7.68 7.98 + .04 .04 Means.. 0.29 7.44 7.74 .14 .10 0.57 7.4 M 7.15 7.45 6.8 4 7-74-2-i2 0.88 7.44 7.74.n.02 7 7.17 6.56 6.86 12-INCH. 40-INCH. C. Mae. c St L Mae. ' Feb. 3. Feb. 27. Mar. 3. 12-inch. Mar 5 Apr t Apr 4 a 9.111 02 i 26 123 R 9-35 i o? i 55 i 09 77 . Q . S8 1.77 2 OO I 7Q i 7 10.10 2.16 2. 38 214 Mean C .... i 51 i 80 i 56 Mean Mag. 9.54 9.54 9.54 9.54 M 8.O^ 7 74. 7 08 Mean Mag.. 1 1 . 49 1 1 . 49 1 1 . 49 1 1 . 49 MASK IS 14 13 12 ITUDE // 10 9 tf 7 ______ .__.._,.,___. so :::::: ::::::::::::::::: 4315 R COMAE 40 - + -H -__..__ r EpI--. -. - 5 E ' ::::::::::::::::.:i::::::::: ::::::::::: 1U -''- 1 _ 30 v> - o. ui ; ft i:::i::::i:i::::::::::;;:ii;;::iii;;ii! M:::::::i::::::::::;::i:i::::i:i::ii!i:i - ! i : I : : ; i I : , it _ r 3py. - - - --^,ff- --- :::!|:::::::::::::j::::|:::::::::::::::: 10 jjjfflf | | | | | | | | | | | | | | | | ::::::::!!:;::::::::::::::::::::::::::: :&*::: c - ::: ::J ii::::::::E:^EEE:::EE:E::EE:E:Ei; FIG. 13. MAGNITUDE-CURVE FOR R COM*. CHAPTER V. R COM^E. TABLE 38. 4315 R COHLB. MEAN MAGNITUDES. 6-INCH. Star. July 4. July 9. January 12. Mean. Mag. A Mag. Mag. J Mag. Mag. J Mag. Mag. H. Mag. P. 4 Mag. A 7.98 6.78 7-57 + 0.09 -0.03 0.05 7-79 6.92 7.62 o. 10 + O. II o.oo 7.89 6-74 7.68 o.oo 0.07 + 0.06 7.89 6.81 7.62 8.19 7.11 7-92 0.06 0.07 0.04 B . . F Mean , . . 7-44 7-74 0.06 a ... 9. 16 9-56 9-5i 10.15 + 0.05 + O.2I O.O7 + 0.05 8.98 9.28 9.66 10.05 -0.13 0.07 +0.08 0.05 9.18 9.22 9-58 IO. II + 0.07 -0.13 o.oo + O.OI 9.11 9-35 9-58 IO. IO 9.41 9-65 9.88 10.40 0.08 0.14 0.05 0.04 R u \u Mean 9-54 9.84 0.08 12-INCH. Star. February 3. February 27. March 3. Mean. Mag. J Mag. Mag. A Mag. Mag. J Mag. Mag. H. Mag. P. A Mag. 9-05 9. 10 9.80 10. 19 0.04 -0.05 + 0.03 + 0.05 9.00 9-29 9-74 IO. 12 0.09 + o. 14 -0.03 O.O2 9.21 9.07 9-77 10. 12 + 0.12 -0.08 O.OO O.O2 9.09 9-15 9-77 10. 14 9-39 9-45 10.07 10-44 0.08 0.09 0.02 0.03 R . u iU Mean 9-54 9.84 0.06 12. l6 12.39 10.65 10.46 -0.13 0.04 O.O2 O. II 12.24 12.42 10.67 10.63 0.05 O.OI o.oo 4-0.06 12-47 12.48 IO.69 10.63 4-0.18 + 0.05 + O.O2 + O.O6 6 12 . 29 12-43 IO.67 10-57 12.59 12-73 10.97 10.87 O. 12 0.03 0.01 0.08 c d / ii 49 ii 79 0.06 40-INCH. Star. March 5. April i. April 6. Mean. Mag. d Mag. Mag. A Mag. Mag. 4 Mag. Mag. H. Mag. P. A Mag. b 12.08 12.05 10.95 10.89 0.04 -0.15 + 0.04 +0.16 12.06 12.26 10-95 10.68 0.06 + 0.06 + 0.04 -0.05 12.23 12.28 10.82 10.63 + O.II 4-0.08 0.09 O. IO 12. 12 12. 2O lO.gi 10-73 12.42 12.50 II .21 11.03 0.07 O. IO 0.06 O. IO d /.. 11.49 11.79 0.08 u 12.81 12.75 14.17 13 92 14. 16 14-73 I3-23 o.oo 0.08 + 0.09 o. 16 O.OI -0.03 + 0.04 12.82 13-04 13 97 14.42 14-43 14.68 I3-38 -f-o.oi + O.2I O. II +0.34 +0.26 O.O2 +0.19 12.81 12.69 14.09 13 89 13-92 14.68 12.97 o.oo o. 14 + O.OI o. 19 -0.25 O.O2 O.22 I2.8I 12.83 14.08 (14.08 (14.17 14.70 13 '9 13.11 I3.I3 14-38 H-38 14-47 15.00 13-49 o.oo 0.14 0.07 0.23) 0.17) 0.02 0.15 z a ft i c 66 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 39. 4315 R COM.E. VISUAL OBSERVATIONS OF THE VARIABLE. No. Date. u< Aperture. Comparisons. Reduction, Steps. Means. Seeing. t. J Mag. Month and Day. Hour C. S.T. 9 8 9 9 9 9 10 10 9 9 10 IO IO 9 9 9 9 9 10 9 9 9 9 8 8 8 i? 18 18 9 9 9 9 IO 9 8 8 8 8 8 8 8 8 17 17 i? 17 IO IO 9 9 Julian " Day G. M. T. Steps. Mag. i 2 3 4 5 6 7 8 9 10 ii 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 3' 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 48 49 50 51 52 53 1894 Mar. 9 26 Apr. 7 22 May 4 10 ii 3i June 6 18 20 24 3 July 6 23 1896 May 28 June 6 10 30 July 6 ii 24 Aug. 3 8 10 17 26 Nov. 1 2 Dec. 2 1897 Jan. 7 July 2 8 16 21 27 Aug. i 6 ii 13 19 20 24 27 29 Sept. 27 30 Oct. 8 25 1898 June 14 July 5 20 Aug. i 9 2410000+ 2897 2914.60 2926.61 2941 .64 2953-63 2959-63 2960.63 2980.67 2986.65 2998.63 3000.63 3004.67 3010.67 3016.65 3033-63 3708.63 3717-63 3721-63 374I.63 3747.67 3752.63 3765-63 3775.63 3780.63 3782.58 3789-58 3798.57 3876.96 3897.00 | 3933-00 4108.63 4114.63 4122.63 4127.63 4133-67 4138.61 4*43-58 4148.58 4150.58 4156.58 4J57-58 4i6i.57 4164-57 4166.57 4195-96 4198.96 4206 . 96 4223-96 4455.67 4476.67 4491-63 4503.61 4513.6 150? 150? 150? 150 150 40 150 150 150 40 150 40 150 150 150 150 40 80 40 40 ISO 40 150 40 40 40 40 40 40 40 40 40 40 40 40 40 40 150 40 40 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 12 12 12 12 12 , -V2-T,P, H$v F$v, -V2P, H 3-4.11 FSTI, V2P, Hyi P4-5-V, TiR Ryv, 1)3 lU 39-7, 39 o 36.o, 35.6 28.6, 27.4, 27.4 .. H-i. 13.3 22.8, 22.4 37-6, 34-9 44-9, 52.2 42.9, 49.2 C4-5D, 1>2Z vi 2e, d?,v 1)5 ill, a6v F&v, i)8P FlOTl, V5P CHAPTER V. R TABLE 39. 4315 R COMJB. VISUAL OBSBRVATIONS OP THE VARIABLE. Continued. No. Date. Ocular. i t, B, < Comparisons. Reduction, Steps. Means. Seeing. t. J Mag. Month and Day. Hour C.S.T. Julian Day G. M. T. Steps. Mag. 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 7i 72 73 + 73 74 75 76 77 78 79 80 81 82 83 84 85 86 8? 88 89 90 9i 92 93 94 95 96 97 98 1898 Aug. 19 27 Sept. 2 Nov. 14 Dec. 23 1899 Dec. 14 1900 Jan. 20 Feb. i 9 18 24 Mar. 2 21 22 Apr. 4 6 18 18 27 May 8 9 24 25 28 29 30 June 8 15 23 26 July 10 21 25 28 Aug. 6 13 '3 H 18 Oct. 25 1901 May 1 8 1902 Jan. 10 Feb. ii 22 Mar. 15 Apr. 12 9 8 8 17 18 18 13 18 16 13 II 1 1 ii ii 13 H 9 10 8 ii 9 10 9 9 9 9 8 9 8 9 8 8 17 13 14 12 13 12 2410000+ 4521 .60 45 2 9-58 4535-57 4608 . 96 4648 . oo 5004.00 5040.79 553 oo 5060.92 5069.79 5073-71 5081 5100.71 5101 .68 5"4-79 5116.81 5128.63 5128.65 5I37-7 5148-7 5H9-7 5i64-7 5165.7 5168.7 5169-7 5170.58 5I79-69 5186.63 5I94-67 5196.63 5211-63 -< 5222.61 5226.63 -j 5229-58 \ 5238.60 -J 5245-58 5245-58 5246-58 5250- 58 { 5318.54 5523-77 5760.83 5792.75 5803 5824.79 5852-75 80 80 40 150 150 350 150 i?5 350 350 275 275 350 275 350 350 275 237 350 237 275 80 275 237 237 237 150 40 150 150 40 40 80 40 40 150 40 40 40 40 150 40 67 80 237 237 350 23? 12 6 6 6 6 6 40 6 12 4 40 12 12 40 12 40 40 12 40 40 40 12 12 12 40 40 40 6 6 6 6 6 6 12 3 6 6 6 6 6 6 6 6 6 12 12 40 40 24 40 40 PlTl, ilIO-12 lU, V6-^R . . FIZTJ, P$-$v 42.2, 43.6, 46.5 40.9, 38.7 43-3 39 4 40.3 22.6 14.9 18.3 14-3 , TJ2 3> T2-3a ^0Ia 036, "yla 7-8, 5-5 | v not seen, limit 3i-2z, limit 2, 7132 V2Z, e*8v, T>T,Z photometer I3-I, 14-3 (8.3), 14-3 13-3. 14-3 21.8 23-4 24.0 33 6 36.3 37-8 36.6 36.0 dn) V2e fyv 1)6 86 . . . 23.4,23.4,23.4(24.1) 23-4, 28-3 32 A. . . ) d2v, v(t-8e v6~8d 113 i U, R&v Ryv, t>4 1 1/ Riv, 115 lU RlTl, T}$lU R2V, 113 it/ photometer 35-6, 31.0 ) 36.0, 36.6 38.0, 37.6 \ 38.0, 37.6 1 37-o, 35-6 \ 112 3 lU T.6 I . . . \ Rw 36 o / photometer V2R, t>6-8 it/ VI-2R 4' o, 39.6 40.3 40-5 37-6 23-4 H. 3 good good good fair fair poor fair 99 IOO 104 172 17 254 286 + 0.30 + 0.22 + 0.58 + 0.48 + 0.45 O.O2 + O. IO v^ 5 iU 17 i . .1 Kiv 18 o ( dm, vii t>z near limit 24-4, 22.3 photometer photometer photograph 5.8, 9.0 7.0, 7.0. 6.6 13-57 13-48 fair good 3i8 346 -0.13 + O.06 photometer 68 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 39- 4315 R COM/E. VISUAL OBSERVATIONS OF THE VARIABLE. Continued. No. Date. Ocular. Aperture. Comparison. Reduction, Steps. Means. Seeing. t. J Mag. Month and Day. Hour C. S. T. Julian Day G. M. T. Steps. Mag. 99 100 IOI IO2 103 104 105 106 107 1 08 109 I 1O in 112 "3 114 5 116 H7 118 119 1 20 121 122 '23 124 125 126 127 128 129 130 131 1901 May 2 25 June 3 9 25 30 1903 Jan. 9 May 17 1904 Mar. 22 May 3 10 June 17 Jiy 4 9 Aug. 2 27 1905 Jan. 3 29 Feb. 27 Mar. 5 12 24 25 26 Apr. i 4 8 1 1 30 May 31 June 22 July 24 Aug. 9 13 M 10 9 10 9 16 9 13 10 7 ii 10 9 8 3 14 10 15 13 9 10 10 9 '4 9 15 10 9 9 9 8 2410000+ 5872.77 5895.83 5904.67 5910.63 5926.67 593' 63 6124.92 6252.63 6562.79 6604 . 67 66 1 1 .54 6649.71 6666.67 6671.63 6695 . 6 6720.58 6849.79 6875.83 6904 . 67 -j 6910.88 | 6917.77 6929.60 6930.67 6931.67 6937-63 6940.83! 6944.63 6947 96 6966 . 67 6997 63 7019.63 -^ 7051-63 7067.60 237 237 67 67 67 67 237 67 237 67 40 40 40 40 67 40 237 237 67 275 237 237 237 150 250 237 237 237 237 237 237 237 150 40 150 40 40 40 40 12 12 12 12 40 12 40 12 6 6 6 6 12 6 40 40 12 12 40 40 40 6 40 40 40 40 40 40 40 40 6 6 6 6 6 photometer 12.71 12. 14 11.49 11.03 9-43 8.97 13.28 , v8y TJ not seen, limit i M 4y photometer ) > 6.3, 8.0, 8.0 photometer ei7>, vyf 8 . o, 7 o . 7 1 photometer 2 O o Q^ if) W 6 9 y 5 * FlG. 14. LIGHT-CURVB OF R RESEARCHES IN STELLAR PHOTOMETRY. TABLE 40. 4315 R COM^B. MEAN MAGNITUDES FROM 30 DAY GROUPS. Group No .... ] D i 30 2 60 3 90 4 1 20 5 15 6 1 80 7 210 8 240 9 270 10 300 II 330 12 360 f 2986 \ 1 1 3706 ^ 1 4066 . 4426 . 4786 . 5146 5506 5866 6586 6946 Mean t M JM No. t M JM No t M 4M No. t M JM No. r i JM No. [ M I JM [_ No. r >: JM L No. r ^ 1 JM L No. ( ' 1 JM L No. ( J 1 JM L No. .1 5 1 JM L No. H 11.87 0.62 4 ii 11.88 -0.73 i 29 12.52 + 0.57 i 38 10.94 0.46 2 4 8 10.96 4-0.18 3 49 10.55 -0.25 3 50 11.30 + 0.60 i 76 9-39 -0.24 4 74 8.68 -0.47 6 76 8.65 0.50 3 92 9 03 -O.22 I 95 8.32 -0.48 5 IO2 8.95 + O.II 3 136 9-38 -o. 16 2 170 10.79 -o. 24 I 157 10.60 + 0.58 i I9O II .42 -O.O2 I 227 12.50 + 0.28 i 182 11.30 + 0.22 I 222 12.38 + 0.24 I 218 11.88 -0.17 i 254 12.42 O.2I I 281 13-45 + 0.18 3 322 14.00 +0.30 2 336 J3-36 O.29 2 15 12.58 + 0.22 7 17 12.85 + 0.45 i 18 12.42 + O.O2 22 12. 8 + 0. 5 43 11.32 + 0.13 4 76 9-54 + 0.41 4 99 9.24 + 0.44 4 172 11. iS + 0.48 2 254 12.80 O.O2 I 258 13.28 + 0.38 I 263 12.29 O.7O I 286 13-42 + O. IO I 289 13.00 -0.39 I 318 13 57 -0.13 i 321 13.61 0.09 2 346 I3-48 + 0.06 I 336 I3-50 O. H I 343 13 56 + 0.14 4 4i 11.26 0.06 2 62 9.20 -0.48 2 76 9.46 + 0.6I 109 8.41 -0.39 i 134 8.78 0.40 I 17 12.40 O.O2 18 45 11.03 O.OI 15 74 9.12 0.03 22 98 8.78 0.03 i. 135 9.18 0.03 168 10.94 + 0.4; 4 1 86 11.36 + 0.12 222 12.25 + O. 12 257 12.70 o. 14 4 284 13.35 + 0.05 1 321 '3 76 + O.O6 c 341 13-49 O.OI 8 CHAPTER V. R TABLE 41. 4315 R COJLE. OBSERVED MAXIMA AND MINIMA. Elements of maximum. 1856 Dec. 20 (J. D. 2399304)+361.8 d E. M-m=119 d . MAXIMA. MINIMA. I W Date. Mag. Corr. Wt. 4 13 23 15 17 i 4 5 5 i 6, W Date. Mag. Corr. Wt. Calendar. J. D. H. P. Calendar. J. D. H. P. 38 40 4i 42 44 45 46 48 49 1894 Sept. 3 1896 Aug. 30 1897 Aug. 19 1898 Aug. 23 1900 Aug. 10 1901 Aug. 15 1902 July 29 1904 July 28 1905 July 24 3075 3802 4156 4525 5242 5612 5960 6690 7051 me 8.92 8.40 9.o 9.20 me me 8.40 8.90 9.22 8.70 9-3 9-50 8.70 9.20 + 23 + 26 + 18 + 25 + 19 + 27 + 13 + 20 + 19 40 41 42 43 44 45 46 47 48 49 1896 Apr. 30 1897 Apr. 14 1 898 Apr. 13 1 899 Apr. i 1 900 Apr. i 1901 Mar. 26 1 902 Mar. 17 1 903 Feb. 25 1 904 Mar. 24 1 905 Mar. 17 3680 4029 4393 4746 5"i 5470 5826 6171 6564 6922 me me me me 13-98 me '3-73 i3-7 me 13-67 + 23 + 9 + 12 + 4 + 7 + 4 2 -19 + 13 + 9 2 4 4 2 27 3 ii i 3 18 14.28 14-03 14. o '3-97 TABLE 42.- R COM^E. VARIOUS DETERMINATIONS OF COMPARISON STARS. J.'A. Star. Hagen. HCO. H. M. Parkhurst. Parkhurst. H. p. F 8.2 7.61 7.82 7.62 7.92 a 8.6 8.90 9.09 9 39 R 8.8 9.01 9 36 9.15 9-45 lU 93 9.62 IO. II 10. 14 10.44 d IO.O 10.81 10.97 10.67 10.97 c 10 8 12 46 u 13.20 12. 8l 13.11 Some of the various magnitude scales for the comparison stars are collected in Table 42. It will be seen that the Hagen scale is very much compressed, the interval between F and c being only 2.6 magnitudes, whereas it is 4.81 by my measures and 4.85 by the Harvard measures. This may be due in part to the yellow color of the star F, but seems mainly due to the star c. No magnitudes have heretofore been published for stars suitable for comparison with the variable near minimum, evidently because it has not been observed at that part of the light curve. The redness of the variable is given as 4.0 in Chandler's Third Catalogue. Photographically it is at least one magnitude fainter than r at minimum. RESEARCHES IN STELLAR PHOTOMETRY. PAYS 100 zoo ' 300 400 +315 R COMAE Max. - Mm. 3Z2 M-m /* 14-95 0.08 0.18 0.13 14.97 0.26 14.69 4-0.01 14.44 14.71 0.13 So RESEARCHES IN STELLAR PHOTOMETRY. IS 14. /a MAGNITUDE AZ // ^f i , , i S798RU HERCULIS Vf. In FIG. 1 6. MAGNITUDE-CURVE FOR RU HERCULIS. CHAPTER VI. RU HERCULIS. 8l TABLE 49. 5798 RU HERCULIS VISUAL OBSERVATIONS OF THE VARIABLE. No Date. jj g C Aperture. Comparisons. Reduction, Steps. Means. Seeing. /. J Mag. Month and Day Hour C. S.T Julian Day G. M.'T. Steps. Mag. i 2 3 4 5 6 7 8 9 10 ii 12 '3 '4 15 16 i? 18 '9 20 21 22 23 2 4 25 26 27 28 29 30 3' 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 48 49 50 5i 52 1897 Jan. 7 May 5 17 25 June 7 20 25 Jiy s 17 21 23 Aug. 3 13 14 20 Sept. 3 12 13 '4 21 25 2 9 Oct. 14 23 29 Nov. 1 1 16 I8q8 Jan. 2 18 28 Feb. 12 Mar. 2 23 Apr. i ii 14 25 May 7 ii 16 23 June 14 J lll y 5 18 26 Aug. 8 19 27 Sept. 7 Oct. 5 Nov. i 2 18 9 9 9 9 9 10 9 9 9 9 9 9 8 8 7 8 8 8 7 7 7 6 6 6 18 18 18 18 i? '7 16 9 9 6 6 10 9 9 9 10 10 10 10 9 9 8 7 6 6 2410000+ 3933-00 4050.63 4062 4070 4083 63 4096 . 63 4101.63 4111.63 4123.67 4127.63 4129.63 4140.63 4150.61 4151.61 4I57-6I 4171.58 4180.58 4181.54 4182.56 4189.56 4193 56 4'97-54 4212.54 4221.54 4227.50 4240.50 4245-50 4293.00 4309.00 4319.00 4333-98 435L96 4372.96 4381.92 439I.63 4394.63 4405.61 4417.63 4421.65 4426.63 4433.63 4355.63 4476.67 4489.67 4497.67 4510.67 452i 63 4529-61 4540.58 4568.54 4595 50 4596.50 40 150 '50 150 150 40 ISO 150 80 150 80 150 'SO 150 15 150 150 150 150 'SO 'SO 150 150 15 'SO 150 150 40 150 40 40 40 40 40 40 40 40 40 40 40 80 So So 175 '75 80 150 150 '50 150 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 12 12 12 12 12 12 6 6 6 6 6 O4, 7)26 \cid, die, eo-if, foig.[ ( g2/Z /I2 3# . . ) 25-7, 23-0 24-3 3-5 <6 <6 <6 <6 <6 <6 <6 -i-5 miv, vin 3-1. 3-8, 3-5 ii 18 miv, vin, gs-6u g3~4U, vin 3-1, 3-8, 2.5 4. C, 7.8 i?3g, di2V, qiv ii. o, ii. 6, ii. o "* T770T v^x, #40, o6-8u uyv, via, 11456, V&-IQX. . . u$v, V2t, va, vi2s, 1146 .... vis, V2b, ay>, vt, u^-^v.... tyv, a^v, voib, vs 20.4, 17.1, 22.7 . . 23.5, 30.7, 25.5, 25.4 (22.5, 28.7, 29.7* ( 28 . 4, 250.... > 527.9, 23.0, 26. 7\ 1 26 7 21 O 23.7. 25-7, 21.5, 26.9 24. O 2^ O J S2V V2b 642 Z$d ^ \_W2d, Z^X X$O, . . . . ) )20. 7,19.0, 20.5 \ (21 . 4,2O. I / t6v, b2V, i>3y, vyc, v6~8d. . (6511, v^x, 1)2-32 ) \Z2X, X2^C, X^j^d ... ) 16.0, 20.4, 19. 5 . . '5-5. 15-5, 17-9, 18.0 15.0, 17.0, 18.4, 18.0 17.0, 18.4, 16.5 10.0, 8.1 65 6V, ZOIT), VI-2X, t>4C. . . b6v, vz, V2x, vyv, X2W. . .. VZ, V2X, V2-y V2g, 6211 ei,v, fi-2g g2V, vyn g2i>, f 3-4n g2-3t>, vin, v6p g3V, vn v$-6p 13 411, limit v, m,2v m2yv, n2t> n4V, po-iv v not seen, limit n 7-', 9-5 6.0, 7.1 6.0, 6.3 5.5, 3-8, 6.0 5-5. 3-8, 6.0 0.7, 2.1 1.6, 0.8 -1.2, -0.5 v not seen, limit i 2 1 1. 6, 10.0 f v\d vs,b v&s \ {4-59, u2-3< liv, v6a, 5 V2l, v6Su liv va t>4~ 52* /3~4, V2U, 1)3-40 1"] 8t>, VIU, VI-2O 02-31), vs, vi-2b ay;, vib, vis a^v, bi-2V, vf>-^z, vi~2a. . b^v, vif, vyc, va. ziv, vtx, 1)40* 241;, vx, V2d xiv, vo-id, v very red . . . xzv, vid . . div, 4-5g dl2V, D2g V2~~ 3Z 7 O. 4. I. ^ 8 (g6v vim i?4 . . . . 1 20 6 I, 6 8 1 pn u6-8w' w'6t' . . . . / 0.2, 2.0 O 2 I ' 5 . . nyv, V2p n$v pi 2V limit v . . n6v, pi-2v, v^w', limit w' . n6v, p2v limit 23/>? v$-6x, v$z, s6v, 62-31). . . . 62 IV V21X 4.0, 2.8, 3.1, 3.0 21.9, 22.O, 2O.9, 18.5 ig c 18 q . photometer photometer . photometer photometer photometer. photometer g 30.0, 35.7 13.0, 19.0 32.8 17-5 giv g5~ 6re 7.0, 8 ? 7-4 7-2 3-4 3-5 -0.7 -0.8 -1.6 <3 -2.7 0.4 O. I -0.6 2-7 '5 0.8 6.9 3-8 5-8 12.08 12. IO 12-75 12.74 I3-46 13.48 13.60 5 7078 g5U, miv, vin gy>, vn 3.0, 3.1, 3.8 5.0, 2.8 n$v, vp, vioi2iv' . . . -2.2, 0.0, (3.5) . O.O, 2.2, 0.5 . -1.2, -2.0, (1.5).. g8v, n^v, po-iv n^v, p2V, r8iow' v not seen, limit m and n . n2yv, vSw' O3O5 n2 31), v6 8w' O 1 O 5 1.2. O S t'o in, m2v 7721 niv, my! i 8 i i n2V, v near limit gi 2V, v$ 6n . ... 6583 gyi, miv, V2n g3~4t>, V2m, i>4 3.0, 3.1, 4.8 4.5, 6.1, 6.8 8 4 RESEARCHES IN STELT,AR PHOTOMETRY. * I 10 O O FIG. 1 7. LIGHT-CURVE OF RU HBRCUUL. CHAPTER VI. RU HERCULIS. TABLE 50. 5798 RU HERCUUS. MEAN MAGNITUDE FROM 40.25 DAY GROUPS. Group No .... J D i 40 2 80 3 121 4 161 5 2OI 6 241 7 281 8 322 9 362 IO 402 ii 442 12 483 3933 [ I No. f t 9.17 O. 12 I "7 12-75 + 0.26 i 88 1 18 194 13- 7 + 0.06 i 279 13-50 + 0.81 i 25O 300 12.93 + 0.76 4 102 360 12.80 + 1.50 i 346 388 ti-33 + 0.63 3 380 429 8.88 + 0.26 2 418 460 9-32 0.61 4 464 * I I No. 4899 -j ^ L No. r t 10.65 + 0.96 5 18 10.28 + 0.24 3 58 10.83 -0.31 3 12.49 + 0.57 6 94 11.51 -0.52 2 13 31 + 0.58 2 138 12.54 -0.18 2 179 '3 49 + O.O2 3 216 13-79 + O.O2 3 13.58 + 0.05 I 254 13 59 + O.22 2 ii 59 0.56 3 291 12.92 + 0.59 2 10.99 0.42 3 333 13-04 + 1-38 3 9.80 -1.18 4 379 12.79 + 1.69 i 7.82 -I.I9 5 420 9-83 + i. 14 i 433 8.83 + 0.05 4 446 10.13 + 1-65 i 443 M 8 ? + 7 , 7C 5382 \ JM - -0.68 No i i r f g -587 I M 924. to. 6 5 86 5 j JM 0.30 L No i r < 1 268 2Q2 352 380 418 11.28 12.40 11.^7 10.58 9.65 7.72 6 348 j ^M 4-n 12 O 7O O Q"* 0.55 i .39 i .04 t No I I I 4 5 i r t 28 J M 68 3' j JM (. No r / Means] ^ L No. H 9.61 + 0.21 13 54 ii .06 0.00 4 IOO 12.25 + O. IO 9 138 12.62 + 0.20 4 1 86 13.60 + 0.04 4 2l6 13-79 + O.O2 3 26 3 I3-27 + O. IO 5 296 12. 19 + 0.04 IO 348 11.71 + 0.48 ii 38i 11.03 O.II 14 424 8.56 O.2I IO 456 8.63 + 0.41 IO TABLE 51. 5798 RU HBRCULIS. OBSERVED MAXIMA AND MINIMA. Elements of maximum. 1898 March 6 O. D. 24143S5)+483<1 E. M - m = 217*. MAXIMA. MINIMA. t W Date. Mag. Corr. Wt. J3 1 W Date. Mag. Corr. Wt. Calendar. J. D. H. P. Calendar. J. D. H. P. i 2 3 4 5 6 1898 Mar. 13 1899 June 23 1900 Nov. 2 1902 Mar. ii 1903 June 28 1904 Oct. 16 4362 4829 5326 5820 6294 6770 8.85 7-40 9-77 9. 12 7.67 10.04 me me 7-97 + 7 - 9 + 5 + 10 + 7 '3 16 7 2 3 12 i 2 3 5 6 1897 Aug. 30 1898 Nov. 9 1900 Apr. 15 1902 Nov. 26 1904 Feb. 28 4167 4603 51^5 6080 6540 13.90 13-70 13.86 14.17 13 97 I4-I3 me 14.0 + 29 -18 + 21 + 10 -13 IO 25 23 i 6 13-7 86 RESEARCHES IN STEU,AR PHOTOMETRY. zoo 30O 40O SOO 5798 RUHERCULIS Max 435 Min.. . 10 kl a " FIG. 1 8. MEAN LIGHT-CURVE OF RU HERCULIS. CHAPTER VII. 6100 RV HERCULIS. R. A. i6l 56" 45; Dec. + 31 22' 18" (1900). This variable was also discovered by Anderson, and observations began immediately after the receipt of the announcement in 1897. It was then rapidly fading and passed below the limit of the 6-inch, October i, and remained below that limit till 1898 January 18. The following maximum was well fixed as 1898 March 15, at magnitude 10.50 on the Harvard scale. The succeeding minimum was observed with the 12-, 24-, and 4o-inch telescopes, the last by the courtesy of Professor Barnard. The four following maxima were well covered by observa- tions, and the minima of epochs 4, 5, and 12; with sufficient comparisons in the intervening time to make sure of the number of the epoch, and to give some idea as to how closely the star was following the mean light-curve. The positions of the variable and the brighter comparison stars were measured with the 6-inch in August, 1897, the fainter stars (those with the Greek letters, also k and P) were measured with the 4O-inch in June, 1900. The photometric measures of the stars brighter than the rath magnitude are more closely accordant than usual, the fainter stars less accordant. The difference between the Harvard and Potsdam systems for the three standard stars used is 0.25, which is just the mean of the magnitude difference for the twelve fields considered. TABLE 52. 6100 RV HERCULIS. STANDARD MAGNITUDE STARS. 1900. Magnitude. Residuals. Star. B. D. No. R. A. Dec. Color P. DM. Catalogue. Measured. From Cats. 3 Nights H.C.O. P. DM. H. P. H. P. inter se. o - h m s / B + 29 2924 16 58 36 + 29 26.0 W + 7-5' 7.92 7.68 7-93 + '7 + i 4 F +32 2835 16 58 31 + 32 02. o WG 6-34 6.62 6-37 6.62 + 3 o 5 G + 31 2967 17 04 12 + 31 20.4 WG- 6.61 6.66 6.41 6.66 20 o o Means 6.82 7.07 6.82 7.07 13 3 TABLE 53. COMPARISON STARS IN B. D. CATALOGUE- B. D. 1855- star. No. Mag. R. A. Dec. - o h m s o / b + 31 2949 9.2 16 54 49 + 31 18.6 e + 3' 295 8.6 16 55 58 + 31 26.8 87 88 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 54. COMPARISON STARS FOR RV HERCULIS (IN ORDER OF RIGHT ASCENSION). Star. Coordinates from Variable. Light Scale, Steps. Magnitude. R. A. Dec. Measured. From Curve. H. P. H. P. / r n u f b a i Y m s k P a I I d w X P t 1 e ft -346 -301 184 -150 -147 146 -137 122 -"3 - 86 - 76 - 67 + 88 + 104 + H3 + 133 + 133 + 176 + 181 + 186 + 34 + 366 + 344 + 498 + 727 i- -27.0 -23.5 -14.4 -11.7 -"5 -11.4 -10.7 - 95 - 8.8 - 6.7 - 5-9 - 5-2 + 6.9 + 8.2 + 8.8 + 10.4 + 10.4 + 13.7 + 14.4 + 14-5 + 26.6 + 28.6 + 26.9 + 38.9 + 56.8 rt + 92 + 32 + 283 -332 - 52 461 + 46 + 69 + 128 + 49 + 396 -154 + 35 + 44 + 176 + 4 + 247 + 475 + 527 422 -475 + 151 212 + III + 56 37-2 33-3 10.86 ii .67 "'2 II.9 35-8 IO.O 44.6 12.28 >4-75 9.89 12. 5 3 15 oo 10. 14 15-7 14.26 14.51 27-3 8.5 14-5 12.67 15.50 14-95 12.92 15.75 15.20 11.4 33-4 25.3 39-8 15-22 ii .46 10.67 15.47 11.71 10.92 13. o II ,O 12. O 12.25 12.91 11.48 i3-3 '. 3 12. 3 12.50 13. 16 "73 3 3 26.0 35-0 51-2 8.86 9.11 TABLE 55. 6100 RV HERCULIS. PHOTOMETER MEASURES OF COMPARISON STARS. 1904 July 31. 6-INCH. Fine. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m -> 17 38 13 F.i 8.0 9.3 8.9 8.70 9.89 O.27 7-14 7-39 e 21 .O 21-4 21.2 21 .20 22.22 J-85 8.72 8-97 d 40.8 41.3 4I.I 41.07 40.64 3-91 10.78 11.03 ) 44-2 43-7 44-i 44.00 43-40 4.14 ii .01 n .26 b 31.9 31.2 31.2 31-43 31.72 2.89 9.76 10. OI B 14.0 14.5 13.8 14. 10 14-35 0.83 7.70 7-95 17 Bai 19.0 19.3 18.3 18.87 19.32 I-5I 8.38 8.63 Gai 9.8 9.2 10.0 9.67 IO.O2 O.29 7.16 7-41 I e G a 10 7 98 10.6 IO-37 19 2 19.9 2O . 2 19.77 B 15.0 14.2 14.6 14.60 b 31 7 -33 ^ "^2.1 32 .03 I 41 O 4.2 . 2 4.1 . 2 42.80 'd 39 . 2 40 . 8 40 . 6 4O.2O 27 7 2?. 1 22.7 23. 23 18 4 18 F a , II . I 11.2 10.9 II .07 STELLAR PHOTOMETRY. + im N PLATE 7. + 2O 2950 d." .1 .7 a o' w I. Scale, i mm = i3*.8. I 6100 RV HERCULIS. R. A. i6h 56" 44 s. 7> Dec. +31 22' 18", 1900. 1904 July i. CHAPTER VII. RV HERCUUS. 89 TABLE 55. 6100 RV HERCUUS. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1904 September 4. 6-INCH. Fair, quiet, dull. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 19 26 19 45 O 32 34 35 33 36 35 36 F . e d t b B Ga\ Gai B b d e F . 9.1 10.1 10.1 23.9 24.1 24.4 44.9 43.4 44.2 45.8 46.1 45.1 32.5 31.6 31.4 15.9 16.1 15.1 11.7 11.9 ii .6 12. I II .2 12.2 16.3 15.9 16.0 32-1 3'-5 32-2 45-4 44-3 45 2 46 . i 46 . 2 46 . 3 26 . 2 26 . 7 26 . i 11.7 11.9 11.9 9-77 24-13 44-17 45-67 31-83 I5-70 u-73 11.83 16.07 31-93 44-97 46.20 26.33 11.83 10.80 25-23 45-19 45-32 31-88 15-89 11.78 o.37 2.16 4-3i 4-32 2.91 1.07 0.48 7-05 8.84 10.99 ii .00 9-59 7-75 7.16 7-3 9.09 ii .24 11.25 9.84 8.00 7-4' 1904 September 5. Good, somewhat dull. 18 40 19 i 24 26 27 27 28 28 28 Fa. e d b B Gai Gai B b f d e Fa. 9.2 9.7 9.0 22. O 22.3 22.9 40-9 4i-3 4'-5 43-i 43-2 42-5 29.7 29.9 29.8 13-3 H-O "3-9 9-3 9-9 9-3 IO.O 9.8 IO.2 13-5 13-3 '3-4 29.0 28.6 28.8 42-3 43-0 42-9 39.8 40.7 40.9 21.9 22-4 22. 2 10.5 10.2 10. I 9-3 22.40 41-23 42-93 29.80 13-73 9-50 IO.OO 13-40 28.80 42.73 40.47 22. 17 IO.27 9-79 22.29 40.85 42.83 29.30 13.57 9-75 0.28 1.86 3-93 4.11 2.62 0.73 o. 26 7-18 8.76 10.83 ii .01 9-52 7-63 7.16 7-43 9.01 11.08 ii . 26 9-77 7.88 7-4i 1904 August ii. 12-INCH. Good. 18 42 18 53 19 7 19 18 23 25 28 29 b u r i s d e e d o s f r u b 27-5 27.5 26.6 52.4 51-5 52.5 43.2 44.3 43-7 36.7 37-1 37-2 55-9 57-0 56-4 41.9 42.2 43.0 35 9 36-7 36-1 18.2 17.6 17.4 18.2 18.1 17.5 35-9 35-9 35-7 42-9 43-3 43-2 57-5 57-7 57-2 37-7 38-9 38-2 44-o 45-5 44-9 51.3 51.2 51.1 29.3 28.2 28.8 27.20 52.13 43-73 37-oo 56.43 42-37 36-23 17-73 '7-93 35-83 43-13 57-47 38-27 44.80 51.20 28.77 27.99 51-67 44-31 37-64 56.95 42-75 36-03 17-83 2-45 4.96 4-25 3-50 5-35 4.07 3-3' '43 9-85 12.36 11.65 10.90 12.75 11.47 10.71 8.83 10.09 12.60 11.89 ii . 14 12-99 11.71 10.95 9.07 90 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 55. 6100 RV HERCULIS. PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1904 August 13. 12-INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings- MeanScale Readings- c. Magnitude. Mean of 3. Mean of 6- H. p. h m 19 38 19 58 O 33 37 b u r } s o d e e d o s ! r u b 3i-3 32.5 32-4 56.7 56.1 55.9 49.0 48.4 49.7 42.5 41.6 42.2 60. i 59.0 58.7 45.8 46.5 48.0 40 . o 40 . i 39 . 6 20.1 20.3 19.2 20.4 19.8 20. 6 37-i 38-3 38.5 44-8 45.9 45.0 57.6 59.2 60.3 39-9 40.9 40.2 47 .0 48.9 48. 2 57.8 56.8 57.0 33.0 32.8 33.6 32.07 56.23 49-03 42. 10 59-27 46.77 39-90 19.87 20. 27 37-97 45-23 59-03 40.33 48.03 57-20 33-13 32.60 56.72 48.53 41 .22 59-15 46.OO 38.94 2O.O7 2-93 5-33 4-67 3-9 5-45 4.42 3 65 1.72 9 95 12.35 ii .69 10.93 12.47 11.44 10.67 8-74 10. 19 12.59 "93 11.17 12.71 11.68 10.91 8.98 1904 September 8. Quiet, dull, fair to good. 20 35 21 O 44 b u r f s o d e e d s i r u b 20. i 20.9 20.7 41 .9 42.6 41.8 38.6 39.2 38.4 29.8 30.7 30.2 48 . 3 48 . i 48 . 2 37-3 37-2 38.0 29.7 29.4 29.8 14.0 14.7 15.0 15.2 14.4 15.0 30.5 29.2 30.2 36-2 37-3 38.0 51.1 50.2 49.8 30.8 32.8 32.1 38.5 40.6 39.5 45.0 44.1 44.0 22.9 22.9 22. I 20.57 42. 10 38-73 30-23 48.20 37-50 29-63 14-57 14.87 29.97 37-17 50.37 31.90 39-53 44-37 22.63 21 .60 43-24 39-13 31-07 49.29 37-32 29.80 14.72 1.88 4-13 3-68 2.76 4.78 3-46 2-63 i .01 9.88 12.13 11.68 10.76 12.78 ii .46 10.63 9.01 IO. 12 12.37 II .92 II .00 13.02 II . 70 10.87 9-25 1900 June 8 40-INCH, WEDGE II. 12 45 13 15 P s ft i r 50 . 9 46 . 8 47 . 2 48 . i 28.1 28. i 26.2 29.5 47.1 44.3 46.5 44.6 40.9 41.7 40.0 42.3 21 .O 2O. 2 2O. 8 21 .5 48-25 27.98 45-63 41-23 20.88 4.82 2.62 4-57 4.07 1.63 14-87 12.67 14.62 14. 12 11.68 15.12 12.92 14.87 14-37 "-93 1900 July 12. 18 45 s V 1 / r a O 27.O 24.0 26.O 29.3 24.4 24.1 23.9 25.0 44.0 43.9 41.8 43.7 12-5 13.8 15.2 14.1 22-4 21 . I 21 .7 2O.9 32.2 32.0 32.2 34.2 20.4 20. 8 22.8 20. o 26.58 24-35 43-35 13.90 21-53 32-65 21. OO 2-45 2.14 4-32 0.52 1.74 3-iS 1.67 12.52 12.21 14-39 10-59 11.81 13.22 11.74 12.77 12.46 14.64 10.84 12.06 13-47 11.99 CHAPTER VII. RV HERCULIS. TABLE 55. 6100 RV HERCUUS. PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1900 August 30. 40-INCH, WEDGE II. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 19 6 19 46 / r s i P k P i 1 ft P S s r f 8.0 14.2 13.2 23.4 22.5 23.0 26.5 27.5 26.3 55-5 54-4 53-5 51.3 50.9 50.7 57-3 57-8 59-i 45.8 48.2 48.0 45.0 44.8 44.2 53-8 53-2 50.9 41.8 43.5 42.2 46 . I 48 . 2 47.O 53- 1 55-2 56.9 50.8 48.8 50.2 52.6 52.9 53.0 27-3 26.5 25.6 18. i 18.6 21 .0 12.9 16.5 15.0 11.80 22.97 26.77 54-47 50-97 58.07 47-33 44.67 52-63 42.50 47.10 55-07 49-93 52.83 26.47 19.27 14.80 13-30 21 . 12 26.62 53-65 50-45 56.57 47-22 43-59 o 45 1.70 2-47 5-23 5-02 5-45 4-73 4-35 5-17 10.64 ' 11.89 12.66 15-42 15.21 15-64 14.92 14-54 15-36 10.89 12 . 14 12.91 I5.67 I5-46 15.89 15.17 14-79 I5.6I 1900 September 13. Air quiet, seeing good. 19 6 19 45 1 u s } r ft e n a i P k P S V a 1 P r 1 s u 23.8 24.4 22. O 26.2 27.1 27.3 15.8 16.8 16.8 2O. 8 21.5 22. 2 46 . i 46 . 2 47 . i 48 . 2 49 2 23.40 26.87 16.47 21 . 50 46.47 48.2 49-2 40.50 32.13 19.60 50.90 46.83 55.67 49-03 50.60 46.90 '9-43 31.90 40.50 48.50 22.83 17.57 29.27 25.73 24-57 28.07 17.02 22.17 47-49 2.18 2.64 1.03 1.83 4-75 4-8 4-9 4.00 3.10 '43 5-04 4.80 5-4 12.15 12. 6l II .00 11.80 14.72 14. 8 14. 9 13-97 13-07 II .40 15.01 14-77 15-37 12.40 12.86 11.25 12.05 H-97 i5-0 15- 1 14.22 13-32 11.65 15-26 15.02 15.62 40.50 32.01 19-51 50.75 47-93 40-5 41-5 39-5 31.0 32.2 33.2 20 . o 1 8 . 8 20 . o 48.5 51-9 53-2 46.8 46.2 47.5 54-9 57-0 55-i 48.9 49.9 48.3 50.2 50.4 51.2 45 . 9 46 . o 48 . 8 20. i 18.2 20. o 31-9 3i-5 32-3 40.2 40.3 41 .0 48 . i 48 . 9 48 . 5 21-5 23.9 23.1 18.9 17.6 16.2 30.0 28.8 29.0 25.5 26.5 25.2 4.70 14.67 14.92 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 56. 6100 RV HERCUUS. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. 1904 July 31. 1904 September 4. 1904 September 5. Star. C. Obs. Mag. H. P. Mag. H. P. C. Obs. Mag. H. P. A Mag. H. C. Obs. Mag. H. P. J Mag H. P. B F G 0.80 -0.48 -0.46 7.67 6-39 6.41 7.92 6.64 6.66 + .16 + 05 .20 Means. M.. 0.05 6.82 6.87 7.07 7.12 .00 + .02 .OO .01 1.07 -0.38 -0.27 7-75 6.30 6.41 8.00 + .24 6.55!- -04 6 . 66 - . 20 + .08 -.07 0.73 -0.47 -0.49 7.63 6-43 6.41 6.68 6.66 + .12 + .09 .20 - .04 + .06 .OO o. 14 6.82 6.68 7.07 .16 6 93 .05 0.08 6.82 6 90 7.07 7-15 14 .03 12-INCH. 40-INCH. Star. Mean C . . . . Mean Mag. Mag. 6-inch. 9.62 10.87 8.77 ii .01 10.07 C. Aug. ii. Aug. 13. Sept. 8 2-45 3 3i i-43 3-50 2.67 10.07 7.40 2-93 3.65 1.72 3-91 3.05 10.07 7.02 Star. 1.88 2.63 I.OI 2.76 2.07 10.07 8.00 Mean C . . Mean Mag M n . Mag. i 2-inch. 10.86 11.46 it .67 12.67 12.28 C. June 8. July 12. Aug. 30. Sept. 13 i 63 2.62 2. 12 12.17 10.05 0.52 !.6 7 '74 2-45 I. 60 II .67 IO.O7 0.45 1.70 2.47 1-54 "73 10. 19 1.03 2.64 2.18 i .92 11.87 9-95 CHAPTER VII. RV HERCUUS. 93 TABLB 57. 6100 RV HERCUUS. MEAN MAGNITUDES OF COMPARISON STARS. 6 INCH. Star. July 31. Sept. 4. Sept. 5. Mean. Mag. A Mag. Mag. J Mag. Mag. A Mag. Mag. H. Mag. P. A Mag. B 7.67 6 39 6.41 O.OI + O.O2 o.oo 7-75 6.30 6.41 + 0.07 0.07 O OO 7-63 6-43 6.41 0.05 + 0.06 o.oo 7.68 6-37 6.41 7-93 6.62 6.66 0.04 0.05 o.oo F G Mean 6.82 7.07 0.03 b. . 9.76 10.78 8.72 ii .01 +o. 14 0.09 0.05 o.oo 9-59 10.99 8.84 ii .00 0.03 + O.I2 + O.O7 O.OI 9-52 10.83 8.76 ii .01 O. IO 0.04 O.OI o.oo 9. 62 10.87 8.77 ii .01 9.87 II . 12 9.O2 II .26 0.09 0.08 0.04 0.00 d e /. . 10.07 10.32 0.05 12-INCH. Star. Aug. ii. Aug. 13. Sept. 8. Mean. Mag. JUag, Mag. J Mag. Mag. A Mag. Mag. H. Mag. P. A Mag. j, 9-85 10.71 8.83 10.90 0.04 + 0.04 0.03 + 0.04 9-95 10.67 8-74 10.93 + 0.06 o.oo O. 12 + 0.07 9.88 10.63 9.01 10.76 O.OI 0.04 +0.15 O.IO 9.89 10.67 8.86 10.86 10. 14 10.92 9.11 ii.ii 0.04 0.03 o. 10 0.07 j / Mean 10.07 10.32 0.06 11.47 11-65 12-75 12.36 + O.OI O.O2 4-0.08 + 0.08 11.44 ii .69 12-47 12-35 O.O2 + O.O2 O.2O + 0.07 ii .46 11.68 12.78 12.13 o.oo + O.OI -f O. II -0.15 1 1 .46 ii .67 12.67 12.28 11.71 ii .92 12.92 12.53 0.01 0.02 0.13 o. 10 Mpan 12.02 12.27 0.06 40-INCH. June 8. July 12. Aug. 30. Sept. 13. Mean. Mag. A Mag. Mag. A Mag Mag. A Mag. Mag. A Mag Mag. H . Mag.P A Mag. f 10 59 74 81 52 O. 1 + 0.1 + O.C o.c 5 10.64 7 0. 1C ) ii. oo +0.25 11.40 0.17 ) 1 1 . 8O O . OO 12. 61 0.09 10-74 it-57 11.80 12.62 10.99 11.82 12.05 12.87 o. 17 0.17 0.05 0.05 / n II r . . . i i . 68 o . i 2 ii s . . . 12.67 -0.15 12 Mean >i 11.89 K) 1 2 . 66 + O.OC + O.Oi 11.66 ii .91 O. II k IS.< >4 21 + O. It + 0.2( 1^ 15-37 -0.13 ) 14.77 0.18 13.07 -0.07 r 14.72 0.03 ) 15.01 0.21 14.8 i 13.97 -0.29 i4-9 5-5o 14-95 13-14 14-75 15-22 i4-8 14.26 15 21 15-75 15.20 13 39 15.00 '5-47 i5-i 14-51 15-46 0.14 0.17 0.08 O. II 0.20 0.21 P . . 14.87 -0.08 . . 22 + O.C - 15- >8 ft. . 14.62 0.13 * '4- I.S- )2 2 -fo.i- + O.2< TI... 14.12 -0.14 1439 e + 0.13 14-54 15-36 + 0.2i o. 15 94 RESEARCHES IN STELLAR PHOTOMETRY. MAGNITUDE IS. IS 14- 13 . /Z II 10 6IQO RV HCRCULIS 30 10 i FIG. 19. MAGNITUDE-CURVE FOR RV HERCULIS. CHAPTER VII. RV HERCULIS. 95 TABLE 58. 6100 RV HERCUUS. VISUAL OBSERVATIONS OF THE VARIABLE. No. i 2 3 4 5 6 7 8 9 10 ii 12 '3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 3' 32 33 34 35 36 37 38 39 40 4' 42 43 44 45 46 47 48 49 5 51 52 Date. Ocular. 3 i I 2/, /4O, 02^ trw bx QIU . U2S st, or, r2m ::::::::::::::::: j 641), dm, V2f 651) d2TJ 1140 "V2J 40.6, 38.8, 39.2.. . 39-6,37-8,37.4-39-2 37-8, 39.2, 35.9.. . . 37-8, 37.7, 36.4.. . . 35-8, 35.2, 36.4.. . . 33-2, 33.9, 34.3.. . . 3'-3, 30-4, 3I-3-- 27-3, 29.4, 29.3..) 28.8 ) d2V, T)2f, 772-30 dxv, vo-ij, zrjo d$V, \2T), 1130 /4D, ro-io, T>4f> T2TJ, 033, Tllp fr6i, 041;, PITJ {ill 2s, o2t, limit 2 <^t p2v, V2s, limit 34 < s. . . o6v, p4V, VS, TJ2t si 2v, limit v 28.3, 29.3 27.4, 26.3 27.3.. . . S2V, Vt 25. 3, 26.0 v not seen, limit u v not seen, limit 3 < s . v not seen, limit i not seen limit i 2/, 661;, vi-2d 37-7, 36.3 37.2,38.6,38.3.-- . 39.2, 38.6, 41.3.. . . 40.6, 40.8, 41 . 2. . . . 38.8,37.2,36.4,39.6 32-4, 34-2, 34-3- - - 3 2 -4,30.3, 34-2, 35-3 29.3, 29.3, 34,8. . . 24.3, 25.0 OITJ, fsv, vir OIV, Tip, /3V, T12Y r^T), T12S, U\TJ syv, tiv, limit v v not seen, limit 8 10 < s v not seen, limit 2" < s .. vk 9-5 v seen limit 2 M < s . . . . 23.8 12.2 <2I P2V, f 3-4*! v not seen limit 6 < s . . 12.5, 12.0 "v is ii M < s 23-8 32-9 34-o 1120, ryu, J4V vSs D2y ov /5~ 6v 35-4, 30-3, 33-2- . . 35-3,35-8,33.4,3i.7 35-3,34.2,34-4,35.8 35-2,36.3,35-8,36.4 37-3,36.9,35.7,37.3 38.1, 39.7, 41.3. . 39-i, 41-2, 41-8. . 39 6, 39-3, 4'.2. . . 34-4 35-9 36.8 39-7 40.7 40.0 11.58 11.32 1 1. 20 10.71 10.55 10.66 di-2v, 1/3-40, /o-iv, TI^T . . 66-71;, V2-3J, vi-2d 65-6-11, i>4/, V2d 651), rfo-ir, i>4/ 9 6 RESEARCHES IN STELLAR PHOTOMETRY. TABUJ 58. 6100 RV HBRCUUS. VKUAI, OBSBRVATIONS OP THB VARIABLE. Continued. No. Date. Ocular. Aperture. Comparisons. Reduction, Steps. Means. Seeing t. JMag. Month and Day. Hour C.S.T Julian Day G. M. T. Steps. Mag. 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 7i 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 9' 92 93 94 95 96 97 98 99 1898 Oct. 15 3i Nov. 5 ii 12 19 1899 Jan. 8 10 Feb. 15 Mar. 4 19 Apr. 4 16 21 28 May i 4 9 18 29 June 3 13 24 July 8 Oct. 7 17 24 30 Nov. 4 IS 20 Nov. 26 Dec. 5 26 1900 Jan. 7 20 26 Feb. 5 18 22 25 Mar. 7 15 22 Apr. 4 17 18 6 7 6 8 7 6 18 18 17 17 17 16 15 15 9 9 9 9 9 9 9 9 9 9 7 7 6 6 6 6 6 6 6 18 15 15 16 15 15 18 12 15 9 9 2410000+ 4578.52 4594-54 4599-50 4605 . 58 4606.52 4613-50 4664.00 4666.00 4701 . 96 4718.96 4733-96 4749.92 4761.88 4766.88 4773-63 4776.63 { 4779-63 { 4784-63 1 4793-63 { 4804.63 4809 . 63 4819-63 4830.63 4844.63 4935-54 4945 54 4952.50 4958.50 4963 50 4974-50 4979- 50 { 4985-50\ 4994- 50 { 5016.00 5027 5040.88 5046.88 5056.92 5069 . 88 5073-88 5076.98 5086 5094 5101.75 5114-88 | 5125.63 5I26.63J 80 150 150 150 150 150 150 200 150 150 40 40 40 40 40 150 40 150 40 150 40 150 150 150 150 150 200 150 80 150 150 150 150 40 150 40 150 40 150 200 200 350 35o 350 350 350 350 275 350 350 275 275 15 134 275 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 40 4 40 40 40 40 12 40 40 12 12 6 12 12 d2v, )2T>, i>4r di2Ti, 1130, J2v, iiqr 37-8, 35-2, 37-3--- 38.3,36.4,35.2,37.3 32.2,32.3, 32.4,33.3 30.9, 29.8 29-9. 29-3 36.7 36.8 32-5 30-3 29.6 26.3 <25 <24 29.6 37-6 44-5 46.6 45-9 44-9 44-0 43-3 42.6 42.0 37-4 32-7 30-6 24-3 <26 <24 36.3 41 .0 41.3 41-7 42.0 40.9 41-3 40.1 36.1 25 <23 II .20 ii . 19 11.88 12.22 12.35 12.87 , -vb, v6d ed-8v, biv, v$d 6211, T>4d 62-311, Ti$d 0211 V2d 0211, 113-4^ byv, 7>2 3rf 42-6, 43-3 ) 41-6, 42-3 ) 42.1, 4.2.1 j 37-6, 37-8 > 37-3, 37-2, 37-3--) 33-7,33-3,32-4, 31-3 30.8, 30.3 62-311, 712-3 6(2-311, 7i/, H4r. /3~ 411, w, 0111, 114 s ... . f2-31l, 113* J-3H . 11 not seen, limit 12 , v$d 63-411, T/4/, irjd biv, -V3-4d, n 4 / 6411, D4/ 6411, V2d. 6411, H2-3< 6511, Tlld, 1>2/ 6611, T/2d, 113 4/ ^471, ni 20 dl-27i, K20 J27J ? 11 not seen limit 4 < j 11 glimpsed not < I5 M P211 711* 713& 1*20 12.5, 12-4, II-5, 12-0 10. i, n-4, n-5, ii'O 12. I II . I 411 11* "v^k T) i ft v not seen, limit ii M < s.. P6v, tya, vo-ik 11 not held,& and* glimpsed 11 not seen limit 4 5 < 8.5, 8.4, 9.0 8.6 < 8.5 <22. 4 H4/" 1 17211 8 1011 ii5/> .... 18.5, 13-7, (i7-9), 19-5 26.9, 23.8, 17.4.. I '5-9 22.7 28.8 30.0 7!, .3-411, V21 V2S, H4, ri 211 in j^- 29 3, 30-9, 3i -8- \ 28.3 / CHAPTER VII. RV HERCUUS. 97 TABLE 58. 6100 RV HERCULIS. VISUAL OBSERVATIONS OP THE VARIABLE. Continued No. Date. ti 1 1 Comparisons. Reduction, Steps. Means. Seeing. ' A Mag. Month and Day Hour C. S. T. Julian Day G. M. T Steps. Mag. IOO 101 1 02 103 104 105 106 107 108 109 no in 112 "3 114 "5 116 ii? 118 119 1 2O 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 '37 138 139 140 141 142 143 144 '45 146 1900 Apr. 30 May 19 June 17 July 12 21 Aug. 30 Sept. 12 13 Oct. 4 16 26 1901 May 1 8 June 3 July 20 Oct. 1 8 31 Nov. 7 12 1902 Feb. 3 Mar. 5 28 July 27 Oct. i 1903 Mar. 20 Apr. 4 May 17 July 24 Sept. 20 1904 May 14 June 19 July i 3' Aug. 4 u Sept. 2 '4 Oct. 8 Nov. 30 1905 Jan. 12 Feb. 14 Mar. 5 12 26 Apr. 4 u Apr. 22 IO 9 '3 9 IO 9 9 9 8 8 9 7 9 10 8 7 8 7 u 16 8 17 15 IO IO IO 9 6 18 16 16 '3 13 15 16 IO 2410000 + 5140.67 5159-63 5I7I-79 5188-63 5213-69 5222.63 5262.63 5275-63 5276.58 5309-63 53I9-54 5523-63 5539 67 5586 5676.58 5689.54 5696-58 5701-54 5784.96 5814-71 5858' 6024.58 6194.96 6209 . 88 6252 6320 6378 6615 6651 6662.67 6693- 6697.67 6704.67 6726 6738 6762.61 6815.50 6859.00 6891.92 6910.88 6917.77 6931 79 6940 . 88 6947.92 6958.67 150 'SO 237 150 237 150 350 75 237 237 450 ISO 80 237 80 6 6 40 6 40 6 40 12 40 40 40 6 12 4 24 12 /it 1 , TIO, i>4r, v6s JO-ITI, T120 flV, T12T, T>6s, VO /4^, 112 3r TJ20 . . 36.2,33.4,37.3,33.3 36.7, 35-3 36.2, 35.3,33.3, 33-4 33-2, 35-8, 35- 4- i 35-o 36.0 34-5 34-8 24-3 '3-4 11.49 u .30 11.38 11.51 12.26 I3-I7 14-77 good fair good fair fair good i So 199 1 1 28 53 62 1 02 +0.50 +0.77 + 0.71 + 0-53 + 0.63 + 1.19 + 0.57 +0.48 i?3*p, up, viP 7746 12.7, 10.0, 15.5, 15.4 v not seen, limit I <.... u .0. . . . ) II .2 14.96 good 116 (P 2 yil, Tli, V2~3k, 151), Tllf. 12.0,11.4, 11.0, 10.7) s6v t ^5-61, 03-41; 21.3, 21.2, 23.4.. . . 26.3, 28.4 21.9 27-3 22.3 31-8 <26.9 < 2 4-4 10.8 41.4 35 33-3 13-53 12.71 '3-47 12.00 5V, viP, Pyv, vik, div.. . -j 10.7,11.0,11.5,10.4} 10. 5 ) fair fair good poor fair good poor poor good good good good fine fair good good 141 24 54 77 64 34 49 160 18 55 1 02 '37 166 + 1.41 -0.49 0.20 -0-93 0.89 -0-57 + 1-49 0.07 1.02 I.OI -1.6 5 O.9I + I.2 40. i, 42 8 . . v is between / and r . . photograph 42.7 V not seen, limit o <33 19.0 j6 8v, vzn photometer . . 20.3, 17.7 b6v, vd, v$f 38.6, 39.8, 42.2.. .. 30.4, 30.3, 28.8.. . . 24-8, 31 9 39 9 29.8 28.4 S2-3V, t>5 T> not seen limit i** < s .. v not held, perhaps a i 2V. v not seen limit 4 >4-5T, T>P, LOD sio-12-v, Tin, v6l S^T), v6 40.6, 41 .8 3'-3. 34-3 19.9, 20.7 26.4, 28.9 24-3. 32-9 II. 2, 14.5, (16.9).. 13-7, '9-5 16-3, 23.3, 21.7.... 23-3, 29.3 41.2 32.0 20.3 28.1 26.5 13-4 22.9 26.3 10.47 u -95 13-77 12.58 12.82 14.76 13-40 12.88 fair fair good fair good fair good fair 55 99 5i 157 171 1 80 187 198 -1.24 -2.08 -0.30 0.61 + O. IO + 2.36 + 3-45 + 2.65 + 2.33 9 8 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 58. 6100 RV HERCULIS. VISUAL OBSERVATIONS OF THE VARIABLE. Continued. No. '47 148 149 150 151 152 153 154 155 156 '57 158 159 Date. 1 u O Aperture. Comparisons. Reduction, Steps. Means. Seeing. /. 4 Mag. Month and Day. Hour C.S.T. Julian Day G. M. T. Steps. Mag. 1905 Apr. 30 May 31 June 13 22 July 24 Aug. 9 20 ->*> Sept. 2 19 Oct. 21 3 Nov. 1 8 13 9 14 9 9 8 9 9 12 II 8 7 6 24100004- 6966 . 79 6997.63 7010 83 7019 .63 7051-63 7067.60 7068.62 7080.63 7091.75 7 108 . 7 i 7140.58 7150.54 7168.48 237 40 237 150 150 150 237 237 237 2J7 237 237 237 40 6 40 6 6 6 40 40 40 40 40 40 40 7)1 2 S 28.8 44.8 12.48 9-85 IO.OO 9.79 10.90 12.92 13.11 13- 19 13.96 14 95 J4-75 13.89 12.80 good good good fair fair moon poor good fair fair good good good 6 37 50 59 9i 107 118 120 '3> 148 1 80 190 8 4-1.98 -1.35 -i.6 2.12 -2.70 -i-39 -'31 -1.33 o. 14 4-2.15 + 3.76 4-3.21 4-2.20 eSv, Tib, vjd photometer 43.2, 44.6, 46.8 v$b, v$d, e8v d2TI, Tllf SI 27>i 47.6, 43.8, 43.2.. . . 37-8. 39-2 45-2 38.5 25.8 24.6 24.1 19.0 12. I 13 6 19-5 26.8 J5"- "3-4" .53-411, vi" 5*>, u4>> 22.3, 26.8 23-8, 24.3 18.3, '9-7 147), ill P a 3 V, T}) VP SIV, VJ a 11.7, 15.5 20.3, 18.7, (22.5;.. 26.3, 30.3 CHAPTER VIZ. RV HERCUUS. 99 X I S? 5 59 53 5 FIG 20. LIGHT-CURVE OF RV HERCUUS. IOO RESEARCHES IN STELLAR PHOTOMETRY. TABI.E 59. 6100 RV HERCULIS. MEAN MAGNITUDES FROM i6J DAY GROUPS. Group T. D.. No. ... i 16 2 j-l 3 5 4 66 5 8-1 6 IOO 7 116 8 133 9 I SO IO 1 66 it 181 12 2OO (t 6 26 36 I4.O I ^O I 7S 188 M 10.86 12 . 2O 12.90 T l . OI 1 1 . 7O 1 1 . 07 10 86 4160 ' JM -4-O 37 + 1 26 4- I 72 o 28 o 89 + o 18 No 7 4. i 2 2 4360 - f M JM No. r / 12 10-53 o. 16 i 1 1 26 n-35 + 0.42 2 18 4 1 1. 95 -1-0.65 2 41 57 13-13 + I-33 i c^ 104 14.85 + 0.55 2 118 14-97 +0-50 I '34 I4-2 + 0.1 I 58 12. 26 -o-34 3 is8 175 11-37 + 0.04 3 17-3 '93 IO.7I o. 14 I 1 80 M 10 60 1 1 20 II OI 12 87 12 ^S 1 1 06 9 88 9 66 4560 < ATA o 04 -f-o 42 -f-o 60 4- i , 24. I ^7 I SQ I S4. O QO No. 2 I 4 I I I I I If 9 22 42 4O 175 192 M 9Q2 10 27 II 7O II 26 IO 4."? 4760 < JM O 72 O S4. 4-O ^5 -\-i 6* -f-O O2 O 2O No. 4 2 2 I I z 4960 i < M JM No. \ t 8 10.40 -0.24 2 II 11.38 22 10.52 -0-33 2 28 11.51 34 ii .29 +O.I7 i 58 12- 72 56 i3-0 + I-2 I 80 15. o 2.IO t 9i J5-4 + 1.46 2 "3 15-45 + 0.99 i 109 14.92 141 14.41 + 0.68 i '37 13.53 162 12-73 + 0.38 3 149 12.71 180 11.49 + 0.50 i 199 11.30 +0.77 i 5160 < JM +o 71 + O SI -f-o 91 O. SQ o ^8 -0.57 No. I I 2 i i i [t 161 170 M 1^-47 12. OO 536 < JM + 1-23 + O-97 No. i I r t M T r 17 556o < 4M 4- 1 4.1 No / M 1 1 48 576o < JM L No. !t 64 M 596o < JM T CX No < 4.2 160 M i -5.98 6160 JM O 77 + 1.49 No. 2 i j < 18 M 6360^ JM 1 No CHAPTER Vll. RV HERCUUS. lot TABLE 59. 6100 RV HERCUUS. MKAN MAGNITUDES FROM i6 DAY GROUPS. Continued. Group No .... J.D i 16 2 33 3 5 4 66 5 83 6 IOO 7 116 8 133 9 150 10 166 ii 183 12 2OO c t 55 91 102 137 166 M 10.69 12.31 12 55 13.00 I3-2 6 5 6 1 JM i .02 1 .01 -1.65 0.91 + I.2 L No i I i i I r t 55 99 131 151 M 10.47 ii 95 13-77 12.58 6 ?6 i JM (_ No -1.24 i -2.08 i 0.30 i 0.61 i ( t 6960 JM [^ No. r M < Means { m I No. 9 10.62 0.03 i? 23 1 1. 02 + 0.15 14 4? 11.87 + 0.52 i? 55 ii .91 + 0.32 7 78 i3-5 -0.58 2 94 13. 10 O.2I 4 107 14.44 + 12 6 124 '4-37 + O. IO 2 140 13-77 -0.27 7 158 12.64 -0.08 14 176 ii. 18 0.04 9 192 10.59 O.02 8 10 DAYS too 5 14- 15 6100 RV HERCVUS Max.* Min. '< M-m- Zoo Fio. si. MEAN LIGHT-CURVE OF RV HERCUUS. 102 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 60. -6100 RV HERCUUS. OBSERVED MAXIMA AND MINIMA. Elements of maximum. 1898, March 12 (J- D. 2414361) + 200^ E. M m = 81 s + 5' -5' . +10' \ +5 m ' ' 'A f w a. _ r 5 ' P Scale, i mm =7*. 8. os S 303 6894 S LYR^. R. A. 1911.9111 [68.3. Dec.+ 25 50' 17", 1900. bsr i. CHAPTER VIII. S 105 TABLE 64. 6894 S LYRJB. PHOTOMETER MEASURES OP COMPARISON STARS 1903 November 7. 6 -INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. c. Magnitude. Mean of 3. Mean of 6. H. P. h m 21 17 21 37 33 36 TJt 11 ai ' , G at G' a b & I a G G a i F / ot H'ai H'a, 15-5 15-0 15 5 13.2 13.8 13.4 18.7 19.0 18.9 12.2 12.3 12.7 31-3 31-6 31-9 33.0 32.8 33.0 37-9 37-2 37-2 36.8 37.1 37.4 33-9 33-3 33 2 32.5 32.4 32.4 12.3 12.4 12.8 17.8 18.8 18.7 IO. I IO.I 9.8 13.9 14.4 14.2 15.9 15.6 15.6 15-33 13-50 18.87 12.40 31 -60 32-93 37-43 37-10 33-47 32-43 12.50 18.43 IO.OO 14.17 15.70 15-52 13-84 18.65 12.45 32.02 33-20 37-27 i .02 0.76 1.44 0.56 2.94 3-07 3-59 7.87 7.61 8.29 7-41 9-79 9-92 10.44 8 29 8.03 8.71 7-83 IO.2I 10-34 10.86 1903 November 8. Good. 21 12 21 38 31 34 1 6 a F'a G'o 'o H'a H'a E'a G'a a b 1 36. J 36.1 36.3 33 o 33.7 33.7 31.2 31.6 31.6 6.0 6.1 5.7 17.8 18.3 18.6 15.0 14.9 15 o 15.4 15.2 16.2 16.0 15.2 15.3 14.7 15.0 14.8 18.8 18.3 18.6 31.2 31.0 31.3 33.1 32.6 32.9 37-i 37 i 37 3 36-17 33-47 31-47 5-93 18.23 14-97 15 60 I5-50 14-83 18.57 3I-I7 32-87 37-7 36-67 33-17 31-32 3-53 3-07 2.84 0.03 i .40 0.92 1. 01 10.32 9.86 9-63 6.82 8.19 7-71 7.80 10.74 10.28 10.05 7-24 8.61 8.13 8.22 18.40 14.90 15.55 i 1903 November 24. Seeing good; moon 6 days old. 23 4 23 28 51 55 G' a 6 ( E'ai H'a, H' E'ai g b a G' G'a, 12.3 II-7 12. I 31.0 3I.I 31.2 3I.I 31.8 32.0 37-2 37-4 37-3 14.2 14.0 14.7 15.8 16. i 16.1 9.7 10.9 9.9 15.1 14.8 14.2 38.1 37.8 37.9 34-i 33-8 33-9 33.1 32.2 32.4 14.2 13.7 13-9 19.8 20. i 19.4 12.03 31.10 3 1 63 37-30 H 30 16.00 10. 17 14-70 37 93 33-93 32-57 13-93 19.70 12.98 31-84 32.78 37.62 14-50 0.63 2.91 3.08 3.62 0.86 i. 08 0.30 7-43 9-7i 9.88 10.42 7.66 7.88 7.10 7-85 10.13 10.30 IO.84 8.08 8.30 7.52 io6 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 64. 6894 S LYR^E. PHOTOMETER MEASURES OP COMPARISON STARS.- Continued. 1902 July 7. 12-INCH. Very good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings C. Magnitude. i Mean of 3 Mean of 6 H. P. h in 16 30 17 25 O A' B' B (12 c E'a, a b g s m s g b a ' C' B'a* A' '4-7 13-4 13-3 10.0 7.8 8.5 24.5 26.2 25.7 16.8 18.0 18.3 16.2 17.9 17.6 26.9 28.8 28.5 30.5 31.0 30.0 33.8 32.4 33.0 44-0 45-3 46-2 39-o 39.8 39.2 42.2 43.7 44.4 33-2 34-7 33-8 27.2 28.9 27.9 28.0 26.2 26.4 II. 2 14.7 13.9 16.2 17.5 17.5 19.5 20.0 19.9 II. 2 II. O II. 2 13.80 8.77 25-47 17.70 17-23 28.07 30-50 33-07 45-17 39 33 43-43 33 - 90 28.00 26.87 13-27 17.07 19.80 11.13 12.47 0.72 0.32 2.OI 1-37 I. 08 2.41 2. 5 8 3.02 4-25 3.69 8.05 7.65 9 34 8.70 8.41 9-74 9.91 10.35 11.58 II .02 8.47 8.07 9.76 9.12 8.83 io. 16 10.33 10.77 12. OO 11.44 22.84 '7-39 15-25 27.47 29-25 33 49 44-3 1902 October 5. Seeing good. 21 5 21 57 a b g s X D m E'*, C' B' as A'a, A' B' ay C' E'a, m D X s g b a 19.9 20.9 21 . I 22.9 23.2 23.2 30.3 30.1 30.4 40.3 41.9 41.7 47-5-47-5 46-7 40 . 8 40 . 2 40 . 5 33-3 34-6 34.1 12.9 13.2 12.9 H-3 H-3 H-O 16.8 16.5 16.8 25.1 24.7 25.0 6.5 6.9 7.1 15.0 15.3 16.8 14.1 15.2 14.2 lO.j 12.2 II-7 3'-8 33 5 33-2 37-2 37-0 36.7 43-8 43-9 43-7 40.8 38.8 39.8 30.8 31.3 30.6 23.7 23.2 22.8 22.2 21.7 21.5 20.63 23. io 30.27 41-43 47-23 40.50 34.00 13.00 14. 20 16.70 24-93 6.83 15-70 14-50 11.47 32-50 36-97 43.80 39.80 30.90 23.23 21.80 21 .72 23."7 30.59 40.62 45 52 38.74 33-26 12.24 14-35 1 6. 20 I .80 2 .04 2.71 3.85 4-39 3-64 3 .00 0.70 0.91 I . 22 2. 19 0-15 9.62 9.86 10.53 n .67 12.21 II .46 10.82 8.52 8-73 9.04 IO.OI 7-97 10.04 10.28 J0.95 12.09 12.63 11.88 ii .24 8-94 9 15 9.46 10.43 8-39 1903 November io. Good. 21 7 21 27 29 32 a b g s X m m X s g b a 7 5 a ft Z X Z ft a Tai 45.2 47.4 46.5 52.0 53.0 52.9 37.0 38.6 37.0 28.8 29.7 29.9 38.7 36.9 37-3 55-8 55-9 57-8 48.8 46.8 47.2 14.7 14.8 14.1 46.37 52.63 37-53 29.47 37-63 56.50 47.60 14.53 46.99 54-57 37-58 4-53 5-20 3-50 2.60 14. II 14.78 13.08 I2.I8 14-53 15.20 I3.50 I2.6O i .00 10.58 II .OO io8 RESEARCHES IN STELLAR PHOTOMETRY. TABUS 65. 6894 S LYR^E. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. Star. November 7. November 8. November 24. C. Obs. Mag. J Mag. C. Obs. Mag. J Mag. C. Obs. Mag. J Mag. H. P. H. P. H. P. H. P. H. P. H. P. E'.. . G'.. . H'. .. Means M . .. O.OI 0.62 0.27 6.86 7.28 7-47 7-89 7-12 7-54 .02 + .07 + .04 + .04 - .08 + .04 0.17 0.65 0.26 6.96 7-44 7-05 7.38 7.86 7-47 + .08 + .14 + . 04 . 1 1 .11 . 03 O. I I 0.63 0.32 6.91 7-43 7.12 7-33 7.85 7-54 + .03 + .03 - .04 + .09 . 12 + .04 0.30 7-15 7-57 6.85 7.27 .04 .05 0.36 7.'5 6.79 7-57 7.21 .08 .og o.35 7-iS 6.80 7-57 7.22 .03 .08 12-INCH. 40-INCH. Star. Mag. 6-inch. C. Star. Mag. 12-inch. C. July 7. Oct. 5. Nov. 10. Oct. 31. Oct. 31- Nov. 3. May 20. a 9.71 9.89 10.39 2.41 i 2.58 2 3.02 2 80 04 71 1-51 1.63 2.30 g s . 10.46 11.56 12. 18 6 2-57 2 2.99 3- 84 26' 3 10 3.69 2.60 X M M M Mean C . Mean Mag M n san C . . . IO.OO 2.67 2 IO.OO 1O 7-33 7 18 oo 82 1.81 IO.OO 8.19 2.78 3. 1 1 .87 n. 9.09 8. 05 87 82 3 40 11.87 8.47 2.60 12. 18 9-58 ;ui Mag. .If MAGNITUDE,, '-* H 6894- S LYRA.E FIG. 22. MAGNITUDE-CURVE FOR S CHAPTER VIII. S LYR^E. 109 TABLE 66. 6894 S LYUUB. MEAN MAGNITUDES OF COMPARISON STARS. 6-INCH. Star. November 7. November 8. November 24. Mag. A Mag. Mean. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag. H. Mag. P. 4 Mag. '.. G' ... H' .. a. ... b.... g.... 6.86 7-48 7.12 Mean. 9-79 9.92 10.44 Mean 0.05 + 0.03 + O.O2 6.96 7-44 7-05 + 0.05 O.OI -0.05 6.91 7-43 7.12 o.oo O.O2 + O.O2 6.91 7-45 7.10 7-33 7.87 7-52 0.03 0.02 0.03 7-15 7-57 0.03 + 0.08 -4-0.03 + 0.05 9-63 9.86 10.32 0.08 -0.03 0.07 9.71 9.88 10.42 O.OO O.OI + 0.03 9.71 9.89 10.39 10.13 10.31 10.81 0.05 0.02 0.05 IO.OO 10.42 | 0.04 12-INCH. Star. July 7. October 5. November 10. Mag. A Mag. Mean. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag.H. Mag. P. A Mag. a b g s. . . . 9-74 9.91 10.35 Mean. 11.58 + 0.05 + 0.05 0.09 9.62 9.86 10.53 0.07 o.oo +0.07 9.70 9.82 10.49 + O.OI 0.04 + 0.03 9.69 9.86 10.46 IO. I I 10.27 10.88 0.04 0.03 0.06 IO.OO 10.42 0.04 + O.O2 ii .67 12.21 10.82 II .46 + O. II +0.03 0.08 ii .42 12.14 10.87 o. 14 0.04 -0.03 II .56 12.18 10.90 II .46 11.98 12.60 11.32 11.88 0.09 0.02 0.08 m . . . n u .02 + 0.12 Mean "55 "97 0.06 40-INCH. Star. October 31. October 31. November 3. May 20. Mean. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag. H. Mag. P. JMag. s. . . . x. . . . i. . . . a .... ft. ... 11.66 12.08 Mean. 12-73 13.92 14. 18 + 0.03 0.04 11.66 12.08 + 0.03 0.04 11-57 12. l6 0.06 + 0.04 12. 18 + 0.06 11.63 12.12 12.05 12.54 0.04 0.04 11.88 12.30 0.04 0.09 0.09 12.73 14. 12 14. 12 0.09 + O.II 12.73 13-88 13.90 0.09 -0.13 13.08 14. ii 14.78 + 0.26 + o. 10 12.82 14.01 var? 13-24 '4-43 0.13 O. I I no RESEARCHES IN STELLAR PHOTOMETRY. TABLE 67. 6894 S LYR.B. VISUAL OBSERVATIONS OF THE VARIABLE. No. Date. b JS Aperture. Comparisons. Reduction, Steps. Means. Seeing. t. J Mag. Month and Day. Hour C. S. T. Julian Day G. M. T. Steps. Mag. i 2 3 4 5 6 7 8 9 10 ii 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 4' 42 43 44 45 46 47 48 49 50 5' 52 53 1896 Oct. 7 Nov. 12 26 Dec. 9 23 1897 Jan. 9 May 25 June ii July i 16 26 Aug. 27 Sept. 17 22 Oct. 25 Nov. 1 6 Dec. 29 1898 Feb. 15 Mar. 2 Apr. i 15 May 7 21 June 14 27 July 5 18 Aug. i 18 Sept. 7 20 Oct. 8 Nov. i 15 1899 Mar. 22 Apr. 21 May i 18 29 June 7 '3 July 5 July 10 18 Aug. 5 10 26 Sept. 4 12 26 Oct. 4 23 7 6 6 9 10 9 9 9 9 8 8 8 7 6 6 17 17 16 16 16 10 9 ii ii 10 IO 8 8 6 7 16 16 IO IO 9 10 10 10 10 9 9 9 9 9 7 8 8 7 2410000+ 3840 3876 3890.54 3903-50 3917.50 3934.63 4070.67 4087 . 63 4107.63 4122.63 4132.63 4164.58 4185.58 4190.56 4223-54 4245-50 4288.50 4336 96 4351-96 4372.92 4381.92 4395-92 4417.67 4431-63 4455 4468 4476.71 4489.71 4503-67 4520.67 4540.58 4553-58 4571-54 4595-50 4609.54 4736.92 4766.92 4776.67 4793-65 4804.63 4813.67 4819.65 4841 .67 4846.65 4854.61 4872.63 4877.61 4893.61 4902 . 6 i 4910.54 4924-56 4932 56 4951-54 80 150 150 150 150 80 150 150 150 150 150 150 80 150 150 150 150 150 150 150 150 150 40 1 40 (150 80 80 80 80 80 80 'So 150 200 200 150 200 150 150 150 150 150 150 150 5o 150 150 150 150 'So 'So 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 12 12 12 12 12 12 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 (a2b, btf, /2g, g$h, hik, kl -'giq, qr, gj,p, p2tn, mn, no ) <2I <2I , zi-27) .22 37;, V glimpsed 14-9, 99 v not seen, limit 1-2 < A i) not seen, limit z 11 not seen limit x 7140, 7)2 s, Div, t3 47) 7)2 wt, vi n, 7)6$ 47) , 15.4, 23.0, 20-5, 22. I 27-6, 25.7, 27.0,26.6 30.7, 31.6, 32.3. ... 32.6, 31.3 31.2, 32.3. 32.6. ... 32.3, 33-6 > 31-3. 32-6 j 28.6, 27. i v(>n, vig, &27) 7)2g, 637; , 0471, 6271, 7>2g 627;, 7<3g b$V, V2g g2V, V1-2W 64-571, V2g, limit 3 < z g4-57), V2m, c8a, eioa g4T>, 7)1 2m g47>, mzv, Tin . 29-8, 32.6 26. i, 27.6 26.6, 27.1 26.6, 23.6, 25.6.. .. 19.6, 22. O, 22.4. ... 18.6, 19.0, 20.4, 15. .( m6v, vis, v^x, limit z mf> 87), S2v, Ti2x, 7142, limit z . v glimpsed, $3 47; .... S2v, vx, 7>3z, limit z zii), v glimpsed 19.0, 18.4, 14.4.. . v not seen, limit z v not seen limit 12 < x v2 3z, vix, vs, Dyv .13.9, 19.4, 21.0, 18.5 2O.O, 2O.O 23-5, '95 24.0, 24.6, 22.5.. .. 25.0, 26.6, 26. I .... 28.1, 30.6, 30.3 33 3, 33-' 30.3, 3'.6 30-3, 3'.6 SIV, V2X 7)2-3$, D2V, uncertain 7)3$, mm, viD 7)4/2, vim, 457? 7>2 3t, 7>g, 647) 637>, 7>2-3g 6471, 7)ig 6471, 7>ig b6v, g2-yv, V4m g27>, -ayn g47), vim, 716-7$ g47), vm, 7)4$ g7~ 871, vm, 7134$ m2v, vis TO2-37), 7IO-I$, V2X 28.3, 28. i, 29.6.. . . 28.6, 28.6 26.6, 26.6, 27.5.. .. 26.6, 25.6, 25.0. ... 23.1, 25.6, 24.5... . 23.6, 22.0 23.1, 21.5, 20.4-. . . CHAPTER VIII. S LYR^E. Ill TABLE 67. 6894 S LYR.B. VISUAL OBSERVATIONS OP THE VARIABLE. Continued. No. Date. Ocular. V B i B B. < Comparisons. Reduction, Steps. Means. Seeing. t. J Mag. Month and Day. Hour C.S.T. Julian Day G. M. T. Steps. Mag. 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 7' 72 73 74 75 76 77 78 79 80 81 82 83 4 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 too IOI iS99 Oct. 30 Nov. 6 20 22 igOO Feb. 24 Mar. 2 22 Apr. 4 6 May 2 IT 28 29 June 19 28 Aug. 6 13 20 Sept. 5 15 Oct. 26 Nov. 21 1901 Nov. 12 1902 Mar. 5 28 May 14 July 7 Oct. 5 10 20 3i Nov. 3 Dec. i 23 1903 Oct. 10 ii 13 1904 May 17 20 Aug. 4 27 Sept. 24 Oct. 8 Nov. 30 1905 Jan. 3 Feb. 14 Mar. 12 Apr. 4 6 6 6 7 18 16 IS i5 16 '5 14 10 12 12 IO 9 9 8 8 7 6 6 7 16 '4 13 10 9 9 8 7 8 7 IO 7 9 ii 9 8 8 IO 6 6 17 16 16 2410000+ 4958.50 4965 50 4979-50 4981.54 5075 98 5081.92 5101.85 5114.88 5116.92 5142.88 5151-83 5168.67 5169 75 5190 75 5I99-67 5238-63 5245-63 5252-58 5268.58 5278-54 5319 50 5345 50 5701-54 5814.92 5837-83 5884.79 5938.67 6028.63 6033.63 6043.58 6054.54 6057 . 58 6084 6107.54 6398.67 6399-54 6401 .63 6618.71 6621 .63 6697.58 6720 6748.58 6762.67 6815.50 6849.50 6891 .94 6917.94 6940.92 150 150 200 175 275 350 275 35 460 460 275 237 350 237 150 150 40 40 150 150 150 350 237 237 67 67 67 237 237 237 237 237 67 150 80 40 237 150 150 237 40 750 750 750 (237) *75oi 6 6 6 6 12 12 40 12 40 40 4 12 4 40 40 6 6 6 6 6 6 6 40 40 40 12 12 12 4 40 40 40 24 40 12 6 12 6 40 6 6 24 40 6 40 40 40 40 m6v, vs S2V, VO-IX v not seen, limit 2 < s S211, V2X, 7TJ2 v suspected, limit 4 < z 19.6, 21 .0 19.0, 18.9 20.3 18.9 3< I 2fl I . 4. S . "V . 041), 7)6, 03-4^ x6v, -viz myv, -v-zD, v6x vf>--js, ti^m, v$D, tin T^tn, i)g 7-4, 8.3 12.4, 12.4 22.6, 23.5, 24.4 27.5, 28.6, 25.5, 24.7 3o 6 ^o . 6 . .... 037;, 61-27;, -D3g byv, vg, T>6m 31.2, 32.8, 33.6 33-3. 30-6, 31.6 3i-2,33- 3,31-6,30-6 26.6, 29.6 037;, biv, vig, tiftm, g47>, z>4t 2457; m27J, 7)4/7 . . . 2l6 2 ^ ^ vyc, vs, vD, myv 21 .4, 21 .O, 21 .5, 21 .6 1} not seen, x seen . 23-47;, v glimpsed v not seen, limit 2 7Ja4j, 7)0J- 2, O photometer f photometer. ) photometer photograph S2T1, 112X "v not seen limit i < x ig.O, 20.4 19.7 f "2-37;, ri0 0.2, I.O ) \ 147;, 7)0 -1.7, o.o ) 112 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 67. 6894 S LYR.S. VISUAL OBSERVATIONS OF THE VARIABLE. Continued. No. Date. Ocular. Aperture. Comparisons. Reduction, Steps. Means. Seeing. /. J Mag. Month and Day. Hour C. S.T. Julian Day. G. M. T. Steps. Mag. 102 103 104 105 1 06 107 1 08 109 no I II 112 U3 114 "5 116 117 118 119 '90S Apr. 1 1 30 May 20 June 13 20 24 26 July 23 26 Aug. 9 21 22 25 28 Sept. 17 Oct. i 20 Nov. 1 8 16 14 10 H 12 9 IO IO 9 9 9 9 IO 8 7 10 7 6 2410000+ 6947.92 6966.83 6986.67 7010.83 7017-75 7021.63 7023.67 7050.67 7053-63 7067.63 7079-63 7080.6 7083.67 7086 59 7106.55 7120.67 7'39 54 7168.50 750 237 237 237 237 80 80 237 150 >50 150 150 237 80 237 40 40 40 40 40 12 12 40 6 6 12 12 12 6 6 40 12 40 / 7)43, 1)1", Z is 2" > V. ..\ ( z8i>, 7)4" ) 4 O 1 ^ . . 3-5 5-3 15-4 30.6 32.4 25 9 28.4 '3-9' 13 69 12.40 i 34 10. 06 n .01 10.67 to.6 1 1. 20 10.79 p 2 Fio. 33. LIGHT-CURVE OP S Lvn*. RESEARCHES IN STELLAR PHOTOMETRY. TABLE 68. 6894 S LYR^E. MEAN MAGNITUDES PROM 36$ DAY GROUPS. Group No J D i 16 2 77 3 IOQ 4 145 5 182 6 218 7 2 54 8 291 9 327 IO 363 :i 400 12 436 r t 8s 2-<8 272 108 -148 M I I 2O I I . I 2 II .78 12 .OO 13 . O2 3 8 40 \ J M O. 12 O.22 O. 22 -0.66 o. 46 I. No 2 2 2 2 2 f t 167 202 2^.6 27O 7Q7 M IT -?6 12 08 12 60 4*76 i JM O 17 o 18 o 08 O I 1 + O 12 + o. 16 o 04 L No 2 2 2 47- ( A I No. r t I 2 59 ii .92 O.22 2 46 95 II. 12 + 0.05 4 96 135 10.20 O.O6 3 125 169 10.54 4-0.17 3 171 200 ii .04 + 0.29 3 IO7 240 11.68 + 0-3I 4 269 12.08 4-0.18 I 389 14.27 -0.13 i 417 14.87 4-O. 12 2 M I 7 08 10 85 10 18 5'4i jJJ O I 5 O 21 1 No 2 a 2 I f t 117 242 "*54 M j-i -18 5584 ^ J M -l-O 1.Q o ot O 2S No 2 I r < 21 57 87 M 14 10 n 82 ii 8? 6020 JM + o 06 + o 63 -4-O 57 L No r * 164. 24.1 266 ^06 3Q-1 M 9,07 II . 76 12 .03 IV2 14.67 6 45 j JM ~f~o 25 4~O 19 4-o 5 O 17 L No I i !( 25 M 14. 8? JM 4-o 77 No I r i Means i JM t No. 20 14.46 -fo. 13 8 47 12. 6l + O.2I 5 91 II .20 -0.03 13 127 10.36 O. IO 8 168 10.28 0.06 8 2OO I0.8l 4-0.07 7 239 ii .46 4-o. ii ii 270 11.99 + 0.04 6 307 12.48 0.26 5 35 13 20 -0.39 3 391 14-47 4-O.O2 2 4'7 14.87 4-o. 12 2 CHAPTER VIII. S LYR^E. 10 too zoo DAYS 400 500 12 u Q i 10-53 10-73 11.32 "95 o 59 0.82 1-77 2-33 d 2-57 3-45 3-69 i.i5 2.OI 2.27 1-35 2.16 2 43 e / T can C eanM ' Mean C . . . 2. 12 9-13 7.01 i.iB 9-13 7-95 1.05 9-13 8.08 3-24 "33 8.09 I. 8l 11-33 9-52 1.98 ii 33 9 35 i-47 11-13 9.66 Mean Mag. M . 9 '3 ag. ii 13 CHAPTER IX. S CYGNI. 123 16 IS I* 13 MAGNITUDE if II 7ZZO S CYGNI 20 fe FIG. 25. MAGNITUDE-CURVE FOR S CYGNI. 124 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 75. 7220 S CYGNI. MBAN MAGNITUDES OF COMPARISON STARS. 6-INCH. Star. September 3. September 5. October i. Mean. Mag. JMag. Mag. J Mag. Mag. J Mag. Mag. H Mag. P A Mag. B C D c d e T 7-23 7-44 7-33 Mean . 8.62 9-05 9-32 9.70 9.06 Mean . 0.06 0.09 + 0.16 7-30 7.61 7.08 + O.OI + 0.08 0.09 7-33 7-55 7.10 + 0.04 + O.02 O.O7 7.29 7-53 7-"7 7-54 7-78 7.42 0.04 0.06 0. II 7-33 7-58 0.07 + O.O2 + O.O2 + O.O6 O.O9 + 0.09 8.62 9.02 9.18 9.80 8.96 + O.O2 O.OI -0.08 + O.OI O.OI 8.56 9.02 9.28 9.86 8.89 0.04 O.OI + O.O2 + O.O7 -0.08 8.60 9-03 9.26 9-79 8.97 8.85 9.28 9-51 10.04 9.22 0.03 0.01 0.05 0.06 0.06 9.13 9.38 0.04 12-INCH. Star. August 13. October 28. October 31. Mean. Mag. 4 Mag. Mag. JMag. Mag. J Mag. Mag. H. Mag. P. d Mag. c d e T I m o x 8.42 9-03 9-38 9.86 8.97 Mean . 10.56 10.89 11.36 12. 17 Mean . O. 12 + 0.05 O.OI O.OI + O. II 8-59 8.90 9-44 9.92 8.78 + 0.05 -0.08 + 0.05 + 0.05 -0.08 8.61 9.02 9-36 9.82 8.83 + 0.07 + 0.04 -0.03 0.05 -0.03 8.54 8.98 9-39 9.87 8.86 8.79 9-23 9.64 IO. 12 9.II 0.08 0.06 0.03 0.04 0.07 9.13 9-38 0.06 +0.03 + 0.16 + 0.04 + O.22 10.56 10.71 "35 ii .90 +0.03 O.O2 +0.03 0.05 10.46 10.60 11.25 "77 0.07 -0.13 0.07 0.18 !0.73 ".32 "95 10.78 10.98 "57 1 2. 2O 0.04 O. 10 0.05 0.15 11.13 "38 0.08 40-INCH. ^ August 30. September 13. November 3 January 3. Mean. w Mag. J Mag. Mag. ^ Mag. Mag. J Mag.> Mag. JMag . Mag. H . Mag. P. A Mag. I . 10.25 10.48 "43 11.99 0.07 10.39 0.15 10.66 -0.07 11.54 4-o.i6 11.78 + 0.07 + 0.03 + 0.04 -0.05 10.32 ^ 10.63 3 i i . 50 ^ "-83 10.57 10.88 "75 12.08 0.07 0.07 0.04 0.08 m 10.70 o 11.51 x "-77 Mean. + 0.07 + O.OI 0.06 10.67 "53 11.79 + O.O + 0.0 o.o 11.07 11.32 0.06 y 12.40 a 14.19 t + 0.09 + 0.29 12.60 13.89 + 0.29 11.95 o.oi 13.54 .... 1 2 86 -0.36 -0.36 12.28 13.97 -0.0 + 0.0 3 12.31 i 13-90 (12.86 (14.94 (14.34 12.56 H-I5 13 " 15-19 14-59 0.19 0.18 r Also 3, 1905 November 18, 15.48 and 15.73. CHAPTER IX. CYGNI. 125 TABLE 76. 7220 S CYGNI. VISUAL OBSERVATIONS OP THE VARIABLE. No. Date. h Aperture. Comparisons. Reduction, Steps. Means. Seeing. I. J Mag. Month and Day. Hour C. S. T. Julian Day G. M. T. Steps. Mag. i 2 3 4 5 6 7 8 9 IO 1 1 12 13 '4 15 16 18 '9 20 21 22 23 24 25 26 27 28 29 30 3' 32 33 34 35 36 37 38 39 40 4 42 43 1892 Dec. 14 1893 Jan. 7 July 2 3 Aug. 3 ii 17 Sept. 4 6 13 26 Oct. 4 IO 21 29 Nov. 3 6 9 H 16 20 25 29 Dec. i 3 5 8 12 17 28 1894 Jan. 10 June 6 20 24 28 July 2 8 23 29 Aug. 6 8 18 20 9 7 :o 10 9 9 10 8 9 8 8 8 8 7 6 7 8 6 8 7 7 6 6 8 7 6 6 6 7 7 7 10 10 IO IO IO 9 IO 9 9 9 9 9 2410000+ 2471-52 2647.67 2648.67 2679.63 2683.61 2689.66 2711.58 2713.60 2720.58 2733-58 2741.56 2737-56^ 2758-52 2766.50 2771-51 2774.60 r i 2777-52 < I 2782.56 2784.54 2788.54 2793-50 2797 5' 2799 58 2801.54 2803.51 2806 . 50 2810.49 2815.55 2826.54 2839.52 2986.67 3000.67 3004 67 3008.67 3012.67 3018.63 3033-67 3039-63 3047-63 3049.63 3059-63 3061.63 60 150 150 150 150 150 40 40 150 40 150 150 150 40 150 IO 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 150 '50 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9-5 1 1. 06 >"-5 , 2J2/, limit p ^ 23-9 <22 <22 <22 <22 <2O 19.2 19.4 19.9 21-3 23-8 26.7 30-4 29.8 29.1 29-4 29-4 | 28.2 28.8 27-7 26.8 26.2 26.5 26.4 25-2 23-9 23-8 22.8 19.0 16.5 16.0 not seen /> easy - iinot seen, 036, 62c,cid,d2e > (.120, p not seen, mandm=/) ^ not seen, />easy, 2m liv, mm, 1130, limit 1-2 < q l2yv mm V3o 23-7, 23.1, 25.0. . . . 23 . 2, 23 . I, 25 .O .... 13411, mi 2v, vi 20 22.2, 22.6, 23.5 11 not seen limit x 11 not seen limit 2 17 magnitude. ) yja, 14-51;, limit v 6.4, 7.9, 10.4, 6.7. . d (is it <5 or v) limit 05-61), 02-3,5, TJO-I-D v is < 2.8, 2.0, 4.3 75 237 237 460 150 5 237 75 12 40 40 40 6 6 12 40 12 (photometer ) -'v not seen, limit 4 < x, ( y glimpsed . ) "4, 9-4, 9-8 15-5, 18.4 17.4, 16.5 ys-v, vo.vs 1 * (t = ) *3-4i>, V2y jviy, X2-yi, yil, <6Y, i\&,\ ( limit d. i 1 (047), xiv, viy, limit y. . .) -. /is i ith mag. or brighter, > (y is ni.. . . ) 16 26 Nov. 21 1901 Oct. 1 8 1902 Mar. 15 Oct. 29 3 3i Nov. 3 '9 24 Dec. 26 1903 Tan. 17 Mar. 20 Apr. 3 1904' July 27 31 Aug. 27 Sept. 3 Oct. i 8 18.0, 18.0, 17.4 m^v, oiv, v$x vl ayv, v6 J21I, Vl photometer 9 9 8 9 7 6 17 '4 10 12 8 IO 9 9 6053.67 6054.63 6056.63 6072.58 6077.63 6110.54 6132.50 6194.96 6208 . 83 6689.67 6695.75 6720.58 6727.67 6755-63 6762.63 75 237 237 75 237 460 237 237 12 40 40 12 24 40 40 40 40 24 photometer 2y, i near limit photometer 9.68 11.03 i 9 12.70 13-50 <*3-8 f not seen o. glim psed . . tS>iov, 173 4 a , v6t ybjv vi 1 6. i, 11.4, 8.7 9. o. 1 1 6 . . 03-41;, vix 19.0, 20. o 17.0, 19 .0, 20.4 20 s (16 6) vl, -vim, -v$n 02-37J, V2X X3-4V, TJ2-3y x8-i, &v t v^-d i 5 6i> -i-3, 0.3, 3.5 5-5, 9-2 128 RESEARCHES IN STELLAR PHOTOMETRY. o 01 jf 9 n o n II 1 si m f) o o . 36 LiGHT-ClJRVB OP S CVGNI. CHAPTER IX. S CYGNI. TABLE 77. 7220 S CYGNI. MEAN MAGNITUDES FROM 27^ DAY GROUPS. 129 Group No .... T D . . i 2 3 82 4 5 nfi 6 ii',: 7 8 9 IO II 12 ttf\ 2l l 244 272 299 326 r ' 12 26s 284. ..._] M 10.28 2 447 JM 0.18 o 08 L No. 2 3 r t '4 18 28l ,-,-,-, ) M 10.44 I I . 13 2 "3 j JM O.OI O.O2 o 08 L No. 8 6 J r < J M 399 j JM L No. r * 70 IOI M 12.66 1 1 . OO 4402 1 JM + O. IO + 0.08 L No. 2 2 f < 167 ?cft M 5054 i JM o 87 O t7 L No. r < 118 286 e ,,fi J M 14.68 IO 7O 5716 1 JM -f-O. 17 o 56 L No. I I r * 22 40 78 90 fin J M IO.2I II .03 I2.7O 13.50 JM 0.40 0.26 0.28 + 0.07 L No. 3 I I I r < 5 40 92 1(,S 108 firs, J M 10. 16 II . 50 13.80 I $ OO i "* 6"* 6684 ^j JM O. 11 + o. 24 4-o 12 O OO L No. I 2 2 r < j M '' i JM . I No. ' r t Means] ^ L No. 15 10 35 -0.13 H 39 1 1 . 20 + O.OI 9 80 13.13 + O. II 5 94 13-77 + 0.08 3 118 14.68 + 0-37 i H5 14.02 0.87 I 1 66 14.80 -0.18 2 198 13-63 -0.44 2 232 12.67 +0.14 4 259 II .92 + O.O2 IO 284 11.36 + 0.06 9 314 10.26 -0.08 4 130 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 78 7220 S CYGNI. OBSERVED MAXIMA AND MINIMA. Elements of maximum. 1893 October 28 (J. D. 2412765) + 32 iim 33 5 .2. Dec. +30 45' 58", 1900. CHAPTER X. SX CYGNI. 135 TABLE 83. 7269 SX CYGNI. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1904 October i. 6-INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 22 4 22 21 O 26 28 29 F Gai C b a E Eai E a b c Gal F 9.2 10.2 9.2 13-5 13-5 13-3 29.7 30.9 30.0 31.5 32.0 31.6 26.4 26.2 26.3 10.6 9.0 9.7 16.6 15.9 16.0 IO.2 IO.2 II. O 23.2 24.1 23.9 31.0 31.1 31.9 30.2 31.0 30.0 13.0 14.1 13.8 9-7 9-9 9-3 9-53 13-43 30.20 31.70 26.30 9-77 16. 17 10.47 23-73 31-33 30.40 13-63 9-63 9.58 13-53 30.30 31-52 25.02 IO. 12 0.25 0.72 2.72 2.87 2.13 0.29 1.20 7.14 7.61 9.61 9-76 9.02 7.18 8.09 7-49 7.96 9.96 IO. II 9-37 7-53 8.44 1904 October 2. Good. 22 5 22 21 27 29 Fa, Ga h c b a E a i Eai a b c h Gal Fa. '3-5 13-9 14-0 12.3 13.2 12.5 10.4 10. o 9.3 29.8 29.0 28.8 30.0 31.0 30.2 20. 2 20.7 20. 6 12.5 13.8 13.1 12.9 13.8 13.4 22. I 21 .9 22.3 30.1 29.8 29.7 28.9 27.9 28.5 IO. I IO.9 IO.2 12.4 12.3 12.4 14.8 14.7 14.2 13.80 12.67 9.90 29.20 30.73 20.50 13-13 13.37 22. IO 29.87 28.43 10.40 12-37 14-57 14.19 12.52 10. 15 28.82 30 30 21.30 13 25 0.81 0.58 0.29 2.54 2-75 1.74 0.67 7-95 7.72 7-43 9.68 9.89 8.88 7.81 8.30 8.07 7.78 10.03 10.24 9 23 8.16 1904 October 28. 12-INCH. Good, moon rising at end. 22 44 23 o 32 34 m h ai c s P b d a a d b P s c hai m 19.4 19.6 19.9 9.8 10.1 9.7 21 .O 21 .7 21 .5 36.1 35-9 35 9 42. i 42.2 41.8 27.8 26.7 26.0 30.8 30.8 30.0 14.0 15.3 14.1 16. i 16.0 15.9 31.9 31.1 30.1 25.9 26.0 25.8 43-9 43-7 43-1 35.2 36.0 35.0 19.5 20. i 20. i II. I II .2 IO.9 2O. 2 21 .1 21. O 19 63 9.87 21 .40 35-97 42.03 26.83 30.53 14-47 16.00 31-03 25-90 43-57 35.40 19.90 ii .07 20.77 2O.2O 10.47 20.65 35.69 42.80 26.37 30.78 15 24 i-73 0.49 1.78 3.27 4.08 2.31 2-74 1.09 9 44 8.20 9 49 10.98 11.79 IO.O2 10.45 8.80 9 79 8 55 9.84 'I 33 12. 14 10-37 10.80 9-15 136 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 83. 7269 SX CYGNI. PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1904 November i. 12-INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 22 2O 22 35 o 28 30 a d b P s c hat m c s P b d a 20. o 19.3 19.8 36.8 36.1 36.0 29.2 28.9 29.7 47-9 47-3 46-9 38-9 39-t 39-7 29.2 29. i 29.2 15.7 15.8 14.6 26.9 26.7 25.7 27.2 26.8 27.3 41.1 41.3 41.7 47-7 47-8 48.3 29-4 29.8 30.3 35-7 36-9 37-4 19.4 19.3 19.3 19.70 36-30 29.27 47-37 39 23 29.17 15-37 26.43 27. 10 41-37 47-93 29-83 36-67 19-33 I9-52 36.49 29-55 47.65 40.30 28. 14 1.65 3.36 2.61 4-59 3.81 2-57 i .09 2.32 8.81 10.52 9-77 "75 10.97 9-73 8.25 9.48 9. 16 10.87 IO. 12 12. IO 11.32 10.08 8.60 9-83 1904 November 3. Good. 23 12 23 34 37 4i m Aai c s p b d a a d b P s c hat m 18.3 19.3 19.2 IO.I IO.2 II. 2 22.8 22.8 21 .9 36.1 36.0 36.0 43-o 43.5 43.3 21 .9 22.7 22.6 31.8 31.7 31.9 '5-7 15-1 15-6 15.4 16.0 15.4 30.4 30.2 30.4 24.0 24.2 23.3 41 .6 41.9 41.2 35-7 35-2 35.8 20. o 20. o 19.4 13.8 12. I 13.0 19.0 19.7 20. o 18.93 10.50 22.50 36.03 43-27 22.40 31.80 15-47 15.60 30-33 23-83 41-57 35-57 19.80 12.97 '9-57 19-25 11.49 21.15 35-80 42.42 23.12 3' -07 '5 49 1.62 0.60 1.84 3.28 4.04 2.04 2.76 i . it 9.40 8.38 9.62 ii. 06 11.82 9.82 10-54 8.89 9-75 8-73 9-97 ii .41 12.17 10. 17 10.89 9.24 1900 October 17. 40-INCH, WEDGE II. Images very large and unsteady. 24 s P d n y w X X w y n d P s 22. 2O. I 2O. O 32 9 33-0 32.6 18.8 19.6 19.2 31.6 32.8 32.0 48.2 50.0 48.0 42.0 43.5 43.2 34-i 35-8 37.2 32.0 34.9 34.0 37-4 35-o 36.0 42.0 40. i 41.2 25-9 27.7 23.8 '3-5 '9-5 20.2 26.8 24.5 25.9 18.3 20.0 20. I 20.70 32-83 19.20 32-13 48.73 42 90 35-70 33.63 36.13 41 . 10 25.80 17-73 25-73 '9-47 20.09 29.28 18.47 28.97 44.92 39-52 34-6? 1.72 2.58 i-5i 2.56 4-3 3-72 3-i6 10.88 11.74 10.67 ii . 72 13.47 12.88 12.32 11.23 12.09 ii .02 12.07 13.82 13-23 12.67 CHAPTER X. SX CYGNI. 137 TABLE 83. 7269 SX CYGNI. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1902 October 24. 40-INCH, WEDGE V. Seeing good. Sidereal Time. Zen. Dist. Star. Scale Readings. MeanScale Readings. c. Magnitude. Mean of 3. Mean of 6. H. P. h in 21 30 22 OO s P d n v y IV X X w y n d P s 15.8 17.0 17.8 27.0 27.0 26.0 14.0 12.6 13.3 28.0 29.2 29.4 25.7 24.8 24.9 43-o 43-2 43-6 40.8 40.3 40.0 34-5 34-3 34-2 34-4 34-5 35-o 39.2 40.7 40.8 44-8 45-4 44-o 30.2 27.8 29.4 15.2 14.8 15.8 27.5 27.2 27.7 20. o 20. o 20. o 16.87 26.67 I3-30 28.87 25-13 43-27 40.27 34-33 34 - 6 3 40-23 44-73 29-I3 15-27 27-47 20.00 18.44 27-07 14.29 29.00 1.50 2.38 1-03 2-55 2.21 4-21 3-80 3- '3 10.96 11.84 10.49 12. OI II .67 13-67 13.26 12-59 11.31 12. 19 IO.84 12.36 1 2. 02 14.02 13.61 12.94 44.00 40.25 34-48 1902 November 3. WEDGE V. Seeing fair to poor. i 20 s p d n V y Til X X w y n d P s 35-2 35-7 35-8 40.0 40.0 40.0 25.7 25.8 27.0 38.0 40.5 41.8 36.9 36.1 36.8 56.9 59-8 58-1 53-o 53-7 54-5 46.9 47.2 46.7 46 . i 48 . i 47.7 57-5 57-5 56-3 58.6 58.7 60.3 37-7 38.7 39-2 24.1 25.5 26.9 39-6 39-4 39-5 34-o 33-3 33-3 35-57 40.00 26. 17 40-77 36.60 58.27 53-73 46.93 47-30 57-1 59-20 38.53 25-50 39-50 33-53 34-55 39-75 25-84 39-65 3-14 3-75 2.27 3-74 3-38 5-43 5-25 4-54 II. 19 II.80 10.32 11.79 II-43 13-48 13-30 12-59 II-54 12.15 10.67 12. 14 11.78 13.83 13-65 12.94 58-74 55-42 47-12 * 138 RESEARCHES IN STELLAR PHOTOMETRY. is 13 MAGNITUDE 12 II 10 SO 7Z69 SX CYGNI 10 n. . FIG. 28. MAGNITUDE-CURVE FOR KX CYGNI. TABLE 84. 7269 SX CYGNI. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. Star. 1904 September 5. 1904 October i. 1904 October 2. C. Obs. Mag. J Mag. C. Obs. Mag. JMag. C. Obs. Mag. 4 Mag. H. P. H. P. H. p. H. P. H. P. H. P. E ... F... G .. 0.27 0.38 0.03 7.12 7-23 6.72 7-47 7.58 7.07 + .09 -15 . ii + .10 .00 - .27 o.35 0.25 -0.03 7.24 6.se 7-59 7-49 7.21 + .21 -.24 + .03 + .22 -.09 -0.08 0.06 -0.17 7.06 7. 20 6.97 7.41 7-55 7-32 4- .03 4- .04 - .18 - .03 -1- . 14 - .02 Means. Mo.... 0.23 7.08 6.85 7-43 7.20 .I2 .09 o. 19 7.08 6.89 7-43 7.24 .16 '5 0.06 7.08 7-14 7-43 7-49 .12 .03 12-INCH. 40-INCH. Star. Mag. 6-inch. C. Star. Mag. 12-inch. C. Oct. 28. Nov. i. Nov. 3. Oct. 24. Nov. 3. Oct. 17. o 8.91 9.78 i .09 i.yS 1.65 i.n 2 . 6 1 2 . 04 2-57 1.84 i 10.50 11.79 11.00 1.03 2.38 1.50 2.27 1.51 3-75 2.58 3.H 1-72 6 c f Hem Meat Mo . i C . . Mea Mea Mo n C.. . . n Mag. i-73 9-44 2.28 1.66 9-44 9-44 7.16 7.78 II . IO i .64 II . IO 9.46 3 05 i 94 II . IO II . IO 8.05 9.16 i Mag. . 9-44 CHAPTER X. SX CYGNI. TABLE 85. 7269 SX CYGNI. MEAN MAGNITUDES OF COMPARISON STARS. 139 6-INCH. Star. September 5. October i. October 2. Mean. Mag. 4 Mag. Mag. 4 Mag. Mag. 4 Mag. Mag. H. Mag. P. 4 Mag. E 7.12 7-23 6.88 O.02 + 0.04 O.O2 7.24 7-i4 6.86 + O. IO 0.05 0.04 7.06 7.20 6 97 0.08 + O.OI +0.07 7-H 7.19 6.90 7-49 7-54 7-25 0.07 0.03 0.04 F . . G Mean 7.08 7-43 0.05 a 8.83 9.69 9.61 7-65 -0.08 0.09 O.O2 + O. II 9.02 9.76 9.61 + O. II 0.02 0.02 8.88 9.89 9.68 7-43 0.03 -f-O. II + 0.05. O. II 8.91 9.78 9-63 7-54 9.26 10.13 9.98 7.89 0.07 0.07 0.03 O. II b c . . I, Mean 8.97 9-32 0.07 12-INCH. Star. October 28. November i. November 3. Mean. Mag. 4 Mag. Mag. 4 Mag. Mag. 4 Mag. Mag. H. Mag. P. 4 Mag. a 8.80 IO.O2 9-49 -0.03 + 0.15 O. 12 8.81 9-77 9-73 O.O2 O. 10 + O. 12 8.89 9.82 9.62 + 0.06 + 0.05 + O.OI 8.83 9.87 9.61 9.18 IO.22 9.96 0.04 o. 10 0.08 6 .... c . . . Mean 9-44 9-79 0.07 d 10.45 7.36 "79 10.98 9 '44 -0.05 0.08 o.oo O.O2 o.oo 10.52 7.41 "75 10.97 9-48 + O.O2 0.03 O.O4 -0.03 + 0.04 10.54 7-54 11.82 it .06 9.40 + 0.04 + O. IO +0.03 +0.06 0.04 10.50 7-44 11.79 ii .00 9-44 10.85 7-79 12. 14 "35 9-79 0.04 0.07 0.02 0.04 0.03 h p . s m Mean 10.03 10.38 0.05 40-INCH. Star. October 24. November 3. October 17. Mean. Mag. 4 Mag. Mag. 4 Mag. Mag. 4 Mag. Mag. H. Mag. P. d Mag. d 10.67 11.74 10.88 + 0.18 -0.05 -0.13 10.49 n .84 10.96 o.oo +0.05 0.05 10.32 ii .80 ii . 19 -0.17 + O.OI +0.18 10.49 11.79 ii .01 10.84 12. 14 11.36 O. 12 0.04 O. 12 p s Mean II . IO "45 0.09 n . . 11.72 12.88 12.32 '3-47 0.12 O.27 -o. 18 0.07 12. OI 13.26 12.59 13.67 + o. 17 + O. II + 0.09 +0.13 11.79 13-30 12.59 13-48 0.05 +0.15 + 0.09 0.06 11.84 13-15 12.50 '3-54 12. 19 I3.50 12.85 I3.89 0.08 0.18 O. 12 0.09 w v. . Mean 12.76 13.11 O. 12 140 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 86. 7269 SX CYGNI. VISUAL OBSERVATIONS OF THE VARIABLE. No. Date. O 1 Comparisons. Reduction, Steps. Means. Seeing. t. " ~~- A Mag. Month and Day. Hour C.S.T. Julian Day G. M. T. Steps. Mag. i 2 3 4 5 6 7 8 9 IO ii 12 13 14 15 16 17 18 '9 20 21 22 23 24 25 26 27 28 29 30 3 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1899 Oct. 12 17 20 23 28 Nov. 3 8 J5 20 25 Dec. 4 19 27 1900 Jan. 2 22 24 31 Mar. 2 6 15 22 Apr. 4 6 May i 2 ii 28 29 June 13 23 July 1 6 Aug. 6 8 3 18 28 Sept. 4 15 21 Oct. 10 26 Nov. 15 29 Dec. ii 29 1901 Oct. 31 Dec. 21 1902 Mar. 28 July to Oct. 7 8 6 8 7 8 6 6 6 6 7 6 6 6 6 7 7 13 17 J7 16 16 16 '4 15 12 12 IO 9 9 9 9 9 9 8 7 9 7 7 6 6 6 7 8 '3 15 9 IO 2410000+ 4940.58 4945 50 4948 52 4951 56 4956.52 4962 . 58 4967 . 50 4974-50 4979 50 4984.50 4993-54 5008 . 50 5016.50 5022 . 50 5042 . 50 5044 52 5051-52 5081.79 5085 . 96 5094 95 5101.92 5114-90 5116.92 5141-85 5142.88 5151-83 5168.83 5169-75 5194-67 5217-63 5238.63 5240-63 5245-63 5250.63 5260.63 5267.58 5278.54 5284.63 5303 54 53I9.54 5339-50 5353-50 5365 50 5383-50 5689.58 j 574 79 5837 88 5941.63 6030.67 So 80 80 ISO 150 150 "50 150 150 150 150 ISO ISO 150 'SO 200 200 275 150 350 350 275 350 275 350 460 275 237 460 200 150 150 150 150 150 150 40 150 40 150 150 ISO '50 'SO 'SO 80 275 350 237 80 80 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 12 6 40 40 12 40 12 40 4 12 4 40 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 12 3 12 40 40 12 12 ( vib, vie, v^d, 0451). . . < vik, V2l, h&-ioa, 04-51' ( VIC, V2b, &3/, J2d, b2g . 06 7, i>ifc, vie, V2m. . . . CO-IV, Vl-2b 37-2, 39-0, 35.3, 38.5 39-5, 38.5, 38.5 39 o 38 2 . . '-38.2 37-6 37-4 35-5 34-8 34-2 34-2 32.2 32-0 31.5 29.8 28.4 26.8 <3>-3 19.4 <2 3 12.4 is i to i J M , limit v vi s, i'4-5/>, vSn, dSv div, V3s 6311, vi 2d biv, v6d 0511, vib, vie photometer 25.6, 26.9, 26.4,23.3 30.3, 27.6 33-2, 33-8 34-2, 37-3 38.0, 37.2, 39.0 0511, 1136 a$v, TIC, vib 6451*, do- iv, 75 6s V1-2O } 38.0, 39.2 38.0, 38.0, 37.2 35-5. 34-2, 35-3 31-7, 31-3. 30.6 31.7, 30.8, 29.9 25-3, 24.6, 26.4 38-6 37-7 35 o 31-2 30.8 25.2 43-8 39 5 23.6 n i CHAPTER X. SX CYGNI. 141 TABLE 86. 7269 SX CYGNI VISUAL OBSERVATIONS OF THE VARIABLE. Continued. No Date. 1 8 1 i & < Comparisons. Reduction, Steps. Means. Seeing. t. J Mag. Month and Day Hour C.S.T Julian Day G. M. T. Steps. Mag. 5' 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 7i 72 73 74 75 76 77 78 79 80 81 1902 Oct. 24 3' Nov. 3 30 Dec. 26 1903 Oct. 1 1 '3 1904 July 31 Aug. 3 27 Sept. 24 Oct. 6 28 Nov. 30 1905 Jan. 3 Feb. 14 Mar. 24 Apr. 4 30 May 31 June 22 26 July 26 Aug 6 9 28 Sept. 23 Oct. i 20 21 Nov. 1 8 8 9 10 8 '3 7 9 II 9 8 10 10 r2 7 '7 '7 16 '5 10 10 ii 9 10 9 9 7 10 7 9 6 2410000+ 6047 . 58 6054 . 63 6057.67 6084 . 58 6110.79 6399.54 6401 .63 6693.71 6696 . 63 6720.58 6748.67 6760.67 6782. 6815.75 6849.54 6891 . 96 6929.96 6940.92 6966.88 6997.67 7019.67 "023.71 7053-63 7064.67 7067.63 7086.63 7"2.54 7120.67 7'39 54 7140.63 7168.50 237 237 237 237 150 So 'SO 67 '50 237 67 40 237 250 40 237 '50 '50 '50 80 150 237 150 150 237 237 So 237 237 40 40 40 24 40 6 12 6 12 6 24 40 12 6 40 40 6 40 6 6 6 12 6 40 6 6 40 40 12 4 40 photometer . ... "73 11.85 11.49 IO.O 8.75 12. 6 12. 7 <'3- 13- 2 5- '4- not seen, 1 limit 2 poor fair good good fair good fair fair good fair 389 ii 33 37 67 78 81 100 126 '34 o. 19 + 0.43 + I.H + 1.29 + 0.70 + 0.66 + 1-03 + 0.52 O.O2 + 0.19 bio I2vi vo id (2S) ^2 3 d6T, SIT, "v^p Tj6n . 25-3- 23.6, 26.4, 24.4 22.6, 24.4, 22.4 S2V, T!2p, Z/4l r/>, near limit. d$v, vin, piv n^V. bAV . . 26.3, 19.4, 21.4 I C 4. IO A . n2V, limit 3 < w vx, V4W XJ^V "VIV 13.5, 14.0 9c T j o v not seen limit 5 ft, 0,10 ?>9 O o o 0> o> 1 FIG. 29. LIGHT-CURVE OF SX CYGNI. CHAPTER X. SX CYGNI. 143 TABLE 87. 7269 SX CYGNI. MEAN MAGNITUDES FROM 34.1 DAY GROUPS. Group No. . . . I D i -14. i 2 68 2 3 102 3 4 5 6 212 6 7 ^8 7 8 272 8 9 10 ii 12 409. 2 r t J M 4940 4 m L No. r < 12 9-73 o. 10 7 10 43 10.30 -0.03 4 34 75 10.79 0.23 3 104 11.98 0.04 i 153 12.96 o. 16 3 185 I3-24 O.O4 3 224 12.95 + 0.05 3 250 12.39 0. 12 2 293 H.52 O.O4 4 324 10.04 O. 12 4 -J.1O 363 9.37 4-0.30 i 39 9.68 4-0.32 2 j M 10.42 ii .20 8 66 5349 \ m + 0.64 + 0.95 o 56 I No. 2 i r t 80 20=; 153 M II 43 8 7 1 ; 5758 \ JM + o 23 O ^1 L No. I r t 212 M 12 6^ 6l6 M JM [ No. r < 1 19 183 272 71 C M 13. 2 13 6 12 ^7 II 27 6 577 1 JM + o 68 4-o 27 L No. r i i I I J M 6986 j jM L No. r < Means] ^ I No. 12 9.88 O.OI 9 4i 10.48 + 0.16 5 76 10-95 O. 12 4 112 12-59 + 0.32 2 'S3 12.96 o. 16 3 184 13-33 4-0.04 4 227 12.83 O.OI 5 257 12.45 + 0.08 3 297 n-59 f O.OI 7 324 1O.OI 0.09 6 358 9.06 o.oo 2 390 9-53 4-0.16 3 100 DAYS ZOO 30O 10 // 14- 500 7Z69 SX CYGNI Min. IQO<* M-m-l73 cl FIG. 30. MBAN LIGHT-CURVE OF SX CYGNI. 144 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 88. 7269 SX CYGNI. OBSERVED MAXIMA AND MINIMA. Elements of maximum. 1900 Oct. 2 (J. D. 241S295) + 409d E. M-ra=173 1 '. MAXIMA. MINIMA. I Date. Mag. Corr. Wt. 1 w Date. Mag. Corr. Wt. Calendar. J. D. H. P. Calendar. J. D. H. P. o i 2 3 4 1900 Oct. 2 1901 Nov. i 1903 Jan. 5 1904 Feb. 19 1905 Apr. ii 5295 5690 6120 6530 6947 9 23 8.8 8.8 8.90 9.58 9.1 9-2 me 9-25 o -'4 + 7 + 8 4-i6 20 2 I '7 o i 2 3 4 1900 Apr. 1 6 1901 May 15 1902 July 9 1903 Aug. 23 1904 Oct. 7 5126 5520 5940 635f> 6761 '3-30 13 65 me me me 13-95 + 4 ii o + i + 3 33 i 7 2 7 13.60 The last observation used in forming the mean light -curve was that of 1905 February 14, giving the elements at the head of Table 88. The maximum of 1905 April 1 1 indicates a slightly longer period, about 410 days. The magnitude at maximum ranges from 8.5 to 9.2 on the Harvard scale, the minimum about 13.5. CHAPTER XI. 7458 V DELPHINI. R. A. 2oh 4301 133.6; Dec. + 18 58' 01" (1900). The discovery of the variability of this star, from the bright hydrogen lines in its spectrum, was made by Mrs. Fleming at the Harvard College Observatory in December, 1890. The announcement of the discovery made in the Astrono- mische Nachrichten 127, 5, gave the Right Ascension for 1900 as 2o h 41.3 instead of 43.1"'. The other published notes which have come to the writer's attention concerning this star are as follows: Hartwig Astronomische Nachrichten, 134, 180, 307, 1894. H. M. Parkhurst Astronomical Journal, 13, 192, 1894; IS, 20, 1895; 17,65, 1896; 21, 9, 190x3; 23, 81, 1903. W. M. Reed ... .^ ... .Astronomical Journal 13, 63, 1893. Yendell Ibid., 13, 176, 195, 1893; 17, 79, 1896. J. A. Parkhurst Ibid., 16, 178, 1896; 17, 102, 397, 1897; 19, 69, 1899. Astrophysical Journal, 12, 53, 190x3; 14, 176, 1901. Visual observations began in June, 1894, with the 6-inch reflector, which was supplemented during the summer of 1898 by the 1 2-inch refractor, and after March, 1900, by the 4O-inch refractor. The magnitudes of the comparison stars were measured with the equalizing wedge photometer attached to each of the telescopes, connection being made with the three fundamental stars from the Harvard and Potsdam catalogues with the 6-inch, and carried to the fainter stars with the 12- and 4o-inch. Photographs of the field were made with the 24-inch reflector, insuring the correct identification of the comparison stars, and furnishing a check on their coordinates from the variable, which were measured with the micrometer on the 6- and 4o-inch. POSITION OF THE VARIABLE. The variable was connected with the micrometer on two nights, 1 896 October 24 and 26, with the star x, which is B. D. -( 1 8 46 19, and whose place from the Berlin A. G. Catalogue is: R. A. Dec. Year. Berlin A G Catalogue 8389. . . h m s / # -f- 1 8 50 21 2 i8?<; Precession for 25 years + I O8 12 + e 2A 6 Berlin A G Catalogue 8389 J- i ec AC S Difference variable minus x Place of variable 20 d. 1 1^6 -f 1 8 58 oo 8 IQOO This is in close agreement with the place found by Hartwig from heliometer measures, published in the Astronomische Nachrichten, 134, 307. 145 146 RESEARCHES IN STELLAR PHOTOMETRY. THE CHART. Plate 1 1 shows the field around the variable on a scale of i3/'8tothe millimeter. It is a six-fold enlargement from a negative taken 1902 September 7, exposed from 9 h 17 to io u 25, Central Standard Time, with the 24-inch reflector. The negative shows the star A, 16.3 magnitude, distinctly. The photographic magnitude of the variable on this plate is 10.4, which is 0.6 fainter than the visual brightness as given by the light-curve, fig. 32. This difference corresponds approximately to a color of 4 on Chandler's scale. TABLE 89. 7458 V DELPHINI. STANDARD MAGNITUDE STARS. 1900. Magnitude. Residuals. Star. B. D. No. R A Dec Color P. DM. Catalogue. Measured. From Cats. 3 Nights H.C.O. RDM. H. P. H. p inter se. h m s / /' + 19 4501 20 40 17 + 20 07.9 G\V 7.07 7. ii 7.02 7.28 - 5 + 17 4 G + 19 4544 20 47 50 + 19 45-4 GW 7.22 7-95 7-55 7.81 + 33 -14 2 K + '9 4555 20 49 38 + 19 22.7 WG 7.40 7.40 /" 7-37 -29 - 3 4 Mean 7-23 7-49 7-23 7-49 22 n 3 i THE COMPARISON STARS. The data for the comparison stars are collected in Tables 89, 90, and 91, which are sufficiently explained by the headings of the columns. The difference between the mean magnitudes of the three fundamental stars in the Harvard and Potsdam catalogues, 0.26, is larger than usual, which seems to be due to the Harvard magnitude for the star G being 0.3 or 0.4 too small. The mean of three measures in October, 1883, is given as 6.91 in Harvard Annals, 24. The mean of three measures in September, 1894, is given as 7.52 in Volume 44 of the same Annals. Whether this difference is due to error in the first set of measures or to a change in the star itself remains unexplained. TABLE 90. 7458 V DELPHINI. COMPARISON STARS IN B. D. CATALOGUE. B. D. 1855- B. D. I855- No. Mag. R. A. Dec. No. Mag. R. A. Dec. o h m s / o /; m s / 4-18 4602 8.2 20 37 56 + 18 59-3 n' + 18 4617 9.2 20 40 26 4-18 39.7 ( + 19 4500 8.0 20 38 14 + 19 M. J m' 4-18 4618 9.0 20 40 29 4-i8 43.2 ft + 18 4611 8.8 2O 40 2 + 18 43.9 X + 18 4619 8.9 20 40 31 4-iS 45.6 n + 18 4614 9.1 2O 40 13 + 18 55-5 k + '9 45'3 94 20 40 43 + 19 2.0 i STELLAR PHOTOMETRY. + 30S N o PLATE 11 -30' ... . 111 It- . . v rt a b * Jx p . ' f^' . *V* x * 1- 20' +10' 10' ," "I ;mm = 1 3". S. 1902 September 7. 7458 V DH R. A. 20 h 4310 i;, s .6. Der. +18- 58' i", 1900. CHAPTER XI. V DELPHINI. 147 TABLE 91. COMPARISON STARS FOR V DELPHINI (IN ORDER OF RIGHT ASCENSION). Star. Coordinates from Variable. Light Scale, Steps. Magnitude. R. A. Dec. Measured. From Curve. H. P. H. p It s 1 j t -984 - 69-4 - 30.5 9. 10 9-3^ n -768 - 54-' 4- 461 42.8 9.87 10.13 n' 640 - 45-i - 5'5 9.82 10. 08 m' -584 - 41.2 - 34 9.78 10.04 X -575 - 40-5 - 135 46.4 9.29 9-55 k -391 - 27.6 4- 696 40. 2 10.28 10-54 d -336 - 23-6 - 28 33-5 1 1 . 05 11.31 I -313 22.0 - 289 36.6 1 1 . 63 11.89 c 280 - '9-7 4- 96 3-9 11.31 "-57 m -194 - '3-7 4- 890 40.9 10. 17 10.43 i -164 - 11-5 + 149 34-5 1 1 .04 11.30 a -117 - 8. 3 4- 48 27.6 12.13 12-39 K -107 - 7-5 - 285 36-4 10.95 II . 21 to' - 76 5-4 - 92 '4-3 I 4 .6 HI - 56 - 3-7 - 107 13-73 '3 99 (> - 45 - 3-2 - 7' 4-5 '4-7 15-0 V - 29 2.O 42 3-5 I5-I3 15-39 A 20 I .4 c l6.2 16 * 4- n - 4 ~ 0.3 - 152 14- 14. I 14.4 1 *' o -C !> 4- 6 4- 0.4 12 2. I5-32 15-5S 3-4 '3-9 13 6 17.1 17.4 17.0 12.5 12.3 12.4 12.83 17. 10 13.60 32.67 36.80 36.20 32-27 50.37 31-67 35-20 35-90 33-13 13-63 17.17 12.40 12.62 17.14 13.62 32.90 36.35 35-70 3i 97 0.59 1-25 0.74 3.04 3.50 3.42 2.92 4-73 6.96 7.62 7.11 9.41 9.87 9-79 9 29 II . IO 7.22 7.88 7-37 9.67 10.13 10.05 9-55 ii .36 IQ03 October 23. Good. 21 4 21 24 26 27 d n' m' X K G F F G K x m' n' S 28.6 28.8 28.9 32.1 32.7 32.6 33.1 32-9 33 3 3i-3 31-4 3I.5 12.5 12.3 12. i '5-9 15-3 IS-? 12. i ii .8 ii. 8 10.7 i I. i 10.4 15.1 15.2 15.5 II.5 12. I 12.3 28.9 29.9 29.0 31-7 32.7 32.5 32.0 32.2 32.3 31.0 30.2 30.8 28.77 32-47 33-10 3I-40 12.30 15 63 11.90 10-73 15-27 H-97 29.27 32-30 32-17 30.67 29.72 32-32 32.70 30.34 12. 14 15-45 11.82 2.66 2.97 3 oi 2. 72 0.52 o 99 o.49 9. 22 9-53 9-57 9.28 7.08 7-55 7-05 9.48 9-79 9.83 9-54 7-34 7.81 7-31 1903 October 24. Good, small moon. 20 47 21 8 23 24 25 24 F IF;; G K X m' n' 3 d n' m' X K G F F . 10. 7 10. 7 1 1 .0 15.7 16.0 16.6 13-9 14.4 13-7 ii .6 12. i 11.7 30.5 30.7 30.1 31.6 31.7 32.1 32.2 32.0 32.0 30.2 29.2 29.7 30.6 30.1 30.1 32.1 31.7 31.3 32.2 32.0 32.4 30.5 31.0 31.2 11.3 11.5 11.3 14.4 14.3 13.4 10.6 10.7 10.7 17.2 17.4 17.1 10.80 16. 10 14.00 ii .80 30 43 31.80 32-07 29.70 30.27 31-70 32.20 30.90 11-37 14 03 10.67 17-23 10.74 16.67 14.02 11-59 30.67 32.00 31.89 29.99 0.28 1.17 0.80 0.46 2.76 2.94 2.91 2.68 6 97 7-86 7-49 7-15 9 45 9 63 9.60 9-37 7-23 8.12 7-75 7.41 9-71 9.89 9.86 9-63 CHAPTER XI. V DELPHINI. 149 TABLE 92. 7458 V DELPHIM. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1903 October 25. 12-INCH. Fair to good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3 Mean of 6. H. P. A m 23 >5 23 45 o 40 45 X m' n' d I S a f c d f a S <5 n' m' .r 21 .0 21.8 21.3 24.9 25.8 25.2 27.4 28.2 27.9 19.8 20. I 2O.3 43-3 44-o 44.5 38.0 37.7 38.1 49-9 50.2 49.0 38.8 37.9 38.0 40.0 39.3 39.2 38.7 37-7 38.2 39 4 39-o 39 o 49.1 50.0 49.9 38.2 38.0 37.8 2O. I 19.7 20. O 26.9 27.0 27.0 28.2 27.7 27.3 21.9 23.0 22.3 21.37 25-30 27-83 20.87 43 93 37-93 49.70 38-23 39 50 38.20 39.13 49.67 38.00 19 93 26.97 27-73 22.40 21.89 26.52 27.40 20.00 1.91 2-33 2.40 1.71 4. 20 3 54 4-77 3.62 3-72 3-57 9-32 9-74 9.81 9.12 ii .61 10-95 12. 18 11.03 11.13 10.98 9.58 10.00 10.07 9-38 11.87 II. 21 12.44 11.29 u-39 11.24 37-97 49.69 38.68 1903 October 26. Good, moon. 21 3 21 31 24 26 (5 n' m' X d c / a g J g a / c d X m' n' S 18.2 18.7 19.0 24.6 25.3 24.9 25.0 26.0 25.4 2O. I 19.9 20. I 38-3 38-3 38.8 4O.8 40.7 40.9 37-2 37-o 37.2 46. 7 48.0 47. i 36.7 37-6 37.0 41 . i 42.0 41 .0 41 .6 41.9 42. i 37-4 35-4 36.4 46.7 47.8 47.3 36.9 36.0 36.6 40.2 40.0 39. i 36.8 36.3 36.4 19.8 19.3 19.9 24.7 24.2 24.7 23.7 23.6 23.7 18.2 18.3 18.5 18.63 24-93 25-47 20.03 38.47 40.80 37-'3 47-27 37-io 4'-37 41.87 36.40 47-27 36-50 39-77 36-50 19.67 24-53 23.67 18.33 18.48 24-30 25.00 19-85 37-49 40-29 36.82 47-2? 36.75 41 .62 i-50 2-15 2.20 1.68 3-48 3.80 3-40 4-55 3-40 3 96 9.12 9-77 9.82 9-30 II . IO ii .42 1 1. 02 12. I? II .02 11.58 9-38 10.03 10.08 9-56 11.36 11.68 11.28 12-43 11.28 11.84 1903 November 10. Good. 21 38 22 2 26 29 S n' m' X d c f a g g a / c d X m' n' S '1.2 12. I 12.2 18.0 18.7 18.8 16.7 17.7 17.2 14-3 I3-I 13-8 30.8 30.9 31.8 33-8 34-o 33.3 30.8 30.0 30.1 4: . i 40.0 40.4 28.5 29.0 28.2 36.0 37.0 36.2 28.9 29.2 28.9 38.1 38.0 38.0 31.0 30.9 31.2 33-2 33-9 34 2 30.0 30.8 30.7 14 .3 14.3 14.3 18.7 19.0 18.6 19.0 18.6 19.1 12.2 13.8 13.1 11.83 18.50 17.20 '3-73 3'-i7 33-70 30-30 40.50 28.57 36.40 29.00 38.03 31-03 33-77 30-50 14.27 18.77 18.90 13-03 12.43 18.70 17-99 14.00 30.84 33-74 30.67 39-27 28.79 0.71 1-55 i-45 0.91 2-74 3-05 2.72 3-70 2-53 3-35 9 05 9-89 9-79 9-25 11.08 "39 n .06 12.04 10.87 ii .69 9-3 10. 15 10.05 9-51 u-34 11.65 11.32 12.30 11.13 "95 150 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 92. -7458 V DELPHINI. PHOTOMETER MEASURES OK COMPARISON STARS. Continued. 1900 July 26. 40-INCH, WEDGE II. Twilight- Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h in O d c i a V "/ S a t c d 18.5 18.3 18.3 18.8 23. 2 22 . 2 23. 2 22. 2 18.2 19.8 16.8 16.7 27.8 25. I 25.5 26.9 36.0 37.5 35.5 36.2 18.48 22.70 IS. 13 26 - 33 36 - 30 20.00 15-35 23-53 14-65 19-73 14.48 16.48 21.72 16.39 24 93 0.92 '77 0.91 2.23 3-52 15 0.72 10.84 ii .69 10.83 12. 15 13-44 II.4 10.6 II . 10 ii-95 I I .09 12.41 I3-70 ii-7 10.9 14 5 16 2 . . 22.5 23.9 22.8 24.9 13.2 14.8 14.9 15.7 19.8 20.9 19.9 18.3 14.2 15.0 13.9 14.8 1900 August 30. 19 5 20 20 i a y ft c f i / ft R y a i 16.5 16.5 17.2 27.0 27.2 24.9 31.8 32.1 33.3 52.0 50.0 50.9 49-9 54-7 53-6 5'-i 52-3 51-9 46 . 8 16.73 26.37 32 . 4 50.97 52.73 51.77 46.8 37-13 51.80 51-43 50.80 34-17 21.97 '3-33 15 03 24-17 33-29 50.89 52.08 51-79 0.71 2-13 3-22 5-03 5-13 5-u 4-7 3-62 10.87 12.29 13-38 '5 19 15-29 15-27 4-9 13-78 11.13 12.55 13-64 15-45 15-55 15-53 15. i 14.04 36.1 38-5 36.8 53.0 50.2 52.2 50.3 50.9 53 i 50.9 49.8 51.7 33-3 35-2 34 o 23.2 20.9 21 .8 12.4 15.0 12.6 1900 September 6. Moon too bright. 21 47 22 5 d c f a y w 1.5.2 16.2 15.6 18.9 19.9 20 . I 16.0 12. o 14.4 22.0 24.2 25.7 37-9 34-3 35-o 38-9 39-6 37-7 15.67 19-63 1-4- 13 23-97 35-73 3 73 0.80 i-43 0.58 2. IO 3-46 3-79 10.95 11.58 10.73 12.25 13.61 13 94 II. 21 11.84 10.99 12.51 13-87 I4.2O 1900 September 13. Good. 22 22 22 57 d c } a y IJL f> V IU' to a n' y a / / c d 16.5 15.1 15.9 19.2 18.2 17.8 12. o II. 8 12.3 25.0 25.9 23.4 35-2 35-7 32-5 52.1 52.0 51.9 47-5 46.9 47-8 41. o 15.83 18.40 12.03 24-77 34-47 52.00 47.40 15-7 18.09 12.88 24-39 34-32 0.80 I .21 0.40 2.16 3.32 5-12 4.75 4. 3d: ii .04 "45 10.64 12.40 13-56 15-36 14-99 M-5 14- 3 13- 1 14. i M-4 i3-9 I I . 3O 11.71 I0.9O 12.66 13.82 15.62 15-25 14- M-6 13 4 i4-4 4-7 14- 2 34-17 24.00 1 1 - 33 13-73 17-77 15-57 4-i 2.9 3-9 4-2 3-7 10 * ?Q 8 . 37 7 34-8 33-9 33-8 23.8 24.2 24.0 ii. o 11.9 ii . i 13.2 14.5 13.5 17. i 19.0 17.2 14 9 16.6 15.2 CHAPTER XI. V DELPHINI. 151 TABLE 93. 7458 DELPHINI. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. 1903 October 22. igo v ( October 23. 1903 October 24. St ar . Obs. Mag. J Mag. Obs . Mag. J Mag. Obs. Mag. J Mag. H. P. H. P. H. P. H. P. H. P. H. P. F . . o S9 6 96 722 1 1 + 1 1 o 49 7 o 5 7.31 .02 -f .20 0.36 6.97 7.23 .10 + . 12 5 7-8i + -33 - -H 0.80 7.49 7. 75 + . 27-. 20 8 7.34 .32 .06 0.46 7.15 7.41 .25 .01 G . i 25 7 62 7 88 + 41 06 0.99 7 5 K . ... o 74 7 ii 7 . 37 . 29 .03 0.52 7.0 Means.. 0.86 7.2-? 7. 49 .27 .07 0.67 7.2 M 6.37 6.63 6.5 3 7-49-22.i3 0.54 7.23 7.49 .21 .11 6 6.82 6 . 69 6 . 95 12-INCH. 40-INCH. C. o, Mag. C. ^ Mae. n - Oct. 25. Oct. 26. Nov. 10. "'July 26. Aug.3o.Sept.6.Sept.i3 m' 9-69 2 . 33 2 . 20 '-45 a 12.13 2.23 213 210 216 n f o 64. 2 4.0 21^ i ^s x 9-38 i 91 i 68 o 91 d ..ii 05 o 92 . o 80 o 80 Mean C .... 2 09 i 88 i 16 Mean Mag. 9 . 50 9 . 50 9 . 50 9 . 50 M,, . 7417 62 8 "?4. Mean Mag . n . 84 1 1 . 38 11.58 1 1 . 38 1 1 . 38 M . . 9 92 10 16 10 15 10 24 MAGN 17 16 IS / 13 TUDE t II IO 9 6 7 EEEEEEiEEEiEEEJEEEEijEEEiEEiEiiiEEEEEEEEjiiifE!!! SO q: ;: :t :i 7459 v DELPHI NI :; 4O 30 i 11 1 lllllll lllll \rm\ I llP IO - O -*--! ' J "f"I" i ^4- - - - " i j.::i::::::::i:: :: . 0.03 0.04 0.03 0.03 n' % ft Mean . a 9-50 9.76 0.03 12. 18 11.13 10.98 11.03 JO 95 ii .61 + 0.05 -0.18 0.07 O.OI o.oo O.O2 12. 17 ii .42 1 1 . i b ii .02 ii .02 11.58 + 0.04 + O. II + 0.05 O.02 + 0.07 0.05 12.04 "39 11.08 ii .06 10.87 ii .69 0.09 + 0.08 + 0.03 -f0.02 0.08 + O.O6 12.13 11.31 11.05 ii .04 10.95 11.63 12.39 ii-57 H-34 n-32 11-13 H-95 0.06 O. 12 0.05 0.02 0.05 0.04 c d f Mean . "35 ii. 61 0.06 40-INCH. Star. July 26. August 30. September 6. September 13. Mean. Mag. d Mag. Mag. d Mag. Mag. 4 Mag. Mag. J Mag. Mag. H. Mag. P. d Mag. * n 12.15 ii .69 10.84 10.83 0. 12 + O. 12 O. IO 4-0.06 12.29 10.87 + 0.02 4-O. IO 12.25 11.58 10.95 J0.73 O.O2 + O.OI 4-0.01 0.04 12.40 Ji-45 ii .04 10.64 4-0.13 4-o. 12 -f o. 10 -0.13 12.37 n-57 10.94 10.77 12.53 11.83 1 1. 20 ii 03 0.07 0.08 0.07 0.08 c . ... d f Mean . y 11.38 ii .64 0.08 13-44 O.O6 >3.38 i4-9 15-29 15 19 15-27 I3-78 O. 12 -0.03 13-61 + O. II I3-56 14- 5 I5-36 + 0.06 + 0.04 13-50 H-7 15-32 15- 2 15-13 13-73 H-3 14. i i4-4 13-76 15. o 15-58 i5-5 15-39 '3-99 14- 6 i4-4 i4-7 0.09 0.04 o. 14 f ij. It .... /> 4-o. 14 +0.05 13-94 + O.2I 14.99 13- 1 14- 3 Id. I 4- o. 14 ru' > i4-4 CHAPTER XI. V DELPHINI. TABLE 95. 7458 V DELPHINI. VISUAL OBSERVATIONS OP THE VARIABLE. 153 No. Date. Ocular. Aperture. Comparisons. V Reduction, Steps. Means. Seeing. /. J Mag. Month and Day. Hour C. S.T Julian Day G. M. T. Steps. Mag. i 2 3 4 5 6 7 8 9 10 ii 12 '3 14 15 16 '7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 1894 June 28 30 July 6 23 Aug. 6 Nov. 20 Dec. 2 13 19 25 '895 Jan. 15 Feb. 21 May 26 June 13 26 July 9 '9 24 30 Aug. 12 25 26 Sept. 6 10 1896 Aug. 10 26 Sept. 23 Oct. 5 24 26 Nov. i 12 14 22 26 Dec. 2 9 12 2O 1897 Jan. 6 28 May 28 July 8 Aug. 27 Oct. 14 10 10 10 10 10 6 6 6 6 6 6 10 IO 10 9 9 9 9 9 8 9 8 8 9 8 8 6 8 8 7 6 6 8 8 6 7 7 6 6 IO 9 9 7 2410000 + 3008.67 3010.67 3016.67 3033-67 3047.67 3i53 50 31*5.30 3176 50 3182.50 3188.50 3209.50 3246. 3340.67 3358.67 3371-67 3384.63 3394.63 3399.63 3405 63 3418.60 343L58 3432-63 3443.58 3447.58 3782.63 3798.58 3826. 3838.58 3857-50 3859-58 3865 . 58 3876 . 54 -J 3878.50 3886. 50 | 3890.58 3896.58 3903-5o{ 3906.54 39I4- 54 { 393".50 3953-50 4073.67 4114.63 4164.63 4212.54 150 150 150 150 150 150 '50 150 150 150 150 150 150 150 150 150 150 150 150 150 150 '50 150 40 150 150 80 150 80 80 150 150 40 150 15 40 40 40 150 40 80 150 40 '50 150 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 fgi/, }2g, ec, eid, d^b I . di 10.92 II .40 "57 11.63 11.66 12.03 12. 15 12.35 12.35 , T40 fyv, uyi d2v, vie, f$v, v^u ) good good good fair fair fair moon good fair good fair good fair good fair good fine fine good good good good good good fair fair poor fair low low moon good good 6 24 37 50 60 65 7i 84 97 98 504 523 525 2 '3 13 23 27 33 40 43 5i 68 90 + 0.82 + 1.26 + 1.50 + 1-37 + 1.23 + 1 . 14 + 1.23 + 1.17 + 1.08 + 1.04 + I.2O O. IO -0.15 O.07 -0.08 -0.30 -0.17 O.26 0.41 O.2O O. IO -0.13 O.2I + O.OI 39.6, 36.2 $ 36.6, 36.0, 36.0 32.5, 32.9 31-6, 31-5, 3'.6 31.5, 30.6 31.5, 31.9, 29.5, 30.6 26.9, 29.1 C$V, VI 2O ej 811, vo, 276 26 7 . a2v, limit "V a2v, limit v v not seen limit c ... "v not seen limit a ... V not seen, limit 2t y a$v limit V v not seen limit a v not seen limit a D not seen, limit i <<* v not seen limit a fair good fair good good moon good good good good good moon good fair good good fair fair fair good fair poor fair fair poor 505 51 526 9 13 25 3i 4i 46 53 60 64 75 87 96 103 123 1 60 222 230 + 0.23 -o-95 -2.26 - 93 - -75 - .16 - -34 - -17 - -27 - -30 - .26 - .36 0.92 0.89 -0-75 0.65 -0.52 -0.13 o.o -o. 4 11 not seen limit 2 not seen, limit 4~54-5a, -vg, /3-4D T5g, 1)4^ k2V fn2U 32.1, 36.4, 31.0 4i-4,38.5,39.9,39.9l 48.4, 48.4, 48.4. . . ) 56.4,57.2 56.4, 57-7 56.4, 56.2, 56.3 33-2 43-5 56.8 57-i 56.3 52.4 52.8 50.5 50.3 49-3 48. i 48.3 44-8 41.3 39 o 37-0 32.7 22.7 D4-5n, Ti2x, vid DijM>;t:, V2g VIOX, D2~3 viox, vis, v( 1)6* Tl&x i , 411 54. 4. SI 2 . 51;, 1)4* 41), vyc 5-6l>, V2-3X 6-8i>, vi-2x E6-8D, i>2x X2^V 50.7, 50.4 51.2, 49.4 49.7, 48.9 48.2, 47-9 48.2, 48.4 47 q . . . . ) X2-$V, t'4 xffv, nii>, D5~6g n\v, f3-4/, i>4g n$v, i)g, V2-3/ g4D, J1-2V, 1)1-2* a6i>, v3~4y, limit y 43.9, 46.8 > 40.4, 41.8, 41.9 38.8, 38.0, 40.4 37-8, 36.4, 37-0 32.4, 33-0 21.6, 23.5 IMS i to ii M <;c, /* is 2" i -v glimpsed, not steadily held |T is iito2"<<", andiw<.4 ) fair moon moon 340 + o.4 ) CHAPTER XI. V UELPHINI. 155 TABLE 95. 7458 V DELPHINI. VISUAL OBSBRVATIONS OP THE VARIABLE. Continued. No. Date. i4 a 1 fi | < Comparisons. Reduction, Steps. Means. Seeing. t. 4 Mag. Month and Day. Hour C. S. T. Julian Day G. M. T. Steps. Mag. IOO 1OI 1 02 103 104 105 106 107 108 109 IIO III 112 "3 114 "5 116 "7 118 119 1 20 121 122 123 124 125 126 127 128 I2Q 130 IS' 132 '33 '34 135 136 137 138 139 140 MI 142 '43 19 o Sept. 3 Oct. 4 16 Dec. 1 1 '9 1901 Oct. 18 Nov. i 4 Dec. 2! 1902 Mar. 28 Apr. 1 2 May 8 29 July 3 Sept. 7 26 1903 Apr. 3 July 24 Sept. 17 Oct. 9 25 1904 July 31 Aug. 3 6 Oct. 8 Nov. 30 1905 Jan. 3 Mar. 1 2 Apr. 4 II 30 May 22 June 4 13 26 July 23 Aug. 9 ii 28 Sept. 17 Oct. i 20 Dec. 30 12 IO 9 6 6 8 8 9 6 15 15 13 12 IO 10 II 15 10 8 12 9 12 II II 7 7 i? 16 16 15 14 14 14 1 1 IO 9 10 9 8 IO 7 6 2410000 + 5276.75 5297-67 5309-63 5365 50 5373-50 5676.58 5690.58 5693.63 5740.50 5837-88 5852.88 5878.79 5899-75 5934-67 6000.67 6019.63 6208 . 88 6320.67 6375-58 6397 6413 6693.75 6697.63 6700.75 6700.71 6762.71 6815.54 6849.54 6917.94 6940.92 < 6947.92 6966. 8 8 6988.83 7001.83 - 7010.83 7023.71 7050.67 7067.63 7069.67 7086.63 7106.56 7120.67 7139.54 7210.50 237 237 460 150 150 130 275 460 350 237 237 460 237 so 237 237 237 so 150 67 237 40 237 450 750 750 750 237 450 250 250 450 237 300 237 40 40 150 237 so 237 40 40 40 6 6 12 12 40 40 40 40 40 40 12 24 40 40 40 6 12 12 6 12 18 12 40 6 40 40 40 40 40 40 40 40 40 40 40 12 4 6 12 6 6 40 12 40 , l>-2i!, TIT; f f3-4/ x , i. u , y8-iav .... \v is i ".36 "4i>, 11411, i>3f>, 114* photographs, Nos 94 95 0.5, 2.0, 6.5, 8.0. ... 3-3 good good fair good fair poor fair fair fair fair fair fair good good good fair good dull fair good good 191 436 440 458 480 493 502 5'5 13 30 32 49 69 83 102 1/3 + 0.14 0.06 o. 19 + 0.36 + 0.92 + '35 + I-34 + 2.01 + 1.13 +0.26 o.oc o.oo + 0.05 -t-O.IO + 44 4/i fiv, 3,, V3H / v6,'*, VI8v 2.5, 5-5, 6.0 3-5, 6.5, 5-0 8.0, 8.5, 5.0 \ 7.5 / 4.7l 5-oi 7-2 ii. 8 16.5 18.2 22.6 24.0 36.5 40.9 W, v 5Vi *8/* 1/3 471, aiiv, i>6(u' yyu, viw i>i-2y, VI-2UI yi 2V, 1I12U) 16.0, 9.5, 10.0 16.5, 14.0, 16.0. . . ( 17.0, 18.0 ) 21.5, 16.5 \ i8.s, i6.s / V2y, 04-50) 5g 43-4. 39.2 ( 41.9 39-2, 43.9, 41.4 (32.9), 37-4, 38.5 35-4-35.5 32.5. 30.9, 32.6 16.0, 17.0 40.4 37-8 35-4 3 9 16.5 SIT, Tiif J2ii, vc, -v$a yqv, vo-iiu, v$. 5(700 52(70 5-?O(3 5600 5800 5000 6. MAXIMA. MINIMA. I w Date. Mag. Corr. Wt. W Date. Mag. Corr. Wt. Calendar. J. D. H. p. Calendar. J. D. H. P. 3 4 5 6 7 8 9 IO 1 895 May 1 5 1896 Nov. 16 1898 May 5 1 899 Oct. i 1901 Mar. 16 1902 Aug. 22 1 904 Jan. 20 1905 Aug. 1 8 33 2 9 3880 44'5 4929 5455 5984 6500 7076 10.50 9.40 10.76 9.66 me me 8.08 10.3 me 10.36 IO + 12 + 18 + 3 + 5 o -13 + 34 6 19 IO 24 4 i 20 4 5 7 8 9 IO 1896 May 30 1897 Nov. 1 8 1900 Sept. 27 1902 Feb. 26 1903 Aug. 23 1905 Jan. 4 371 4247 5290 5807 f>350 6850 17.0 me me 17-3 me me me + 3 + 11 - 4 -16 2 -35 i i 8 2 2 2 7.80 IO.O IO. IO CHAPTER XII. R. A. 85 1 8 Z CASSIOPEIA, jm 395.9; Dec. + 56 i' 33" (1900). This variable was discovered by Anderson in 1898 and observations began in January, 1899. The field was measured with the micrometer on the 6-inch in January and February, 1899, but as the approximate place given for the star fell nearer to r than to the true place of the variable, that star was marked as the variable in the finding chart published by the writer in Popular Astronomy, 7, 94. The place of the variable given above was measured with the 6-inch from the stars a and b, which are given in the Helsingfors-Gotha A. G. catalogue. The stars b, d, n, and x were connected with the variable in January, 1900, with the 40-inch. My experience with this field is a good illustration of the advantage of using several standard magnitude stars. The list selected included B. D. +54 3033, but after the photometer measures were completed it was found that the star had been misidentified, 3036 being measured instead. The measures were therefore reduced with the other two stars as standards, without much loss in accuracy. A few of the faint comparison stars are so close to the variable that the scale used for the other charts would be too small; this chart is therefore repro- duced on nearly double the usual scale. TABLE 99. 8518 Z CASSIOPEIA. STANDARD MAGNITUDE STARS. Star. B. D. No. 1900. Color P. DM. Magnitude. Residuals. R. A. Dec. Catalogue. Measured. From Cats. 3 Nights inter se. H. C. O. P. DM. H. P. H. P. A D o + 55 3010 + 55 2990 h m s 23 39 56 23 32 26 O / + 55 14-7 + 55 '9-4 WG G 6.48 7-5i 6.58 7.20 6.76 7.24 6.65 7.13 + 28 -27 + 7 -7 4 5 7.00 6.89 7.00 6.89 28 7 4 TABLE 100. COMPARISON STARS IN B. D. CATALOGUE. B. D. 1855- Star. No. Mag. R. A. Dec. O h m s o b + 55 3007 9.2 23 37 5 + 55 5 -o a + 55 30" 8.6 23 37 47 + 55 39-9 161 162 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 101. COMPARISON STARS FOR Z CASSIOPELE (IN ORDER OF RIGHT ASCENSION). Coordinates from Variable. Magnitude. Star. Light Scale, Measured. From Curve. R. A. Dec. Steps. H. P. H. P. h n -276 -32-9 H + 3 37-0 10-75 10.64 b 208 24.8 + 200 44.1 9-79 9.68 f -188 22.4 420 1 g -182 -21.7 -3" 27-5 11.97 11.86 X -"7 -13 9 + 97 17.1 I3-38 13.27 1 92 ii .0 188 r - 89 10.6 -182 3i-5 "-45 "34 e - 88 -10.5 -137 23.1 12.25 12. 14 k - 78 - 9-3 -239 21.6 12.99 12.88 s - 47 - 5-6 - 8 6.0 14-32 14.21 o - 23 - 2.7 - 83 99 13 96 13-85 n - 17 2.O - 9 8.0 13.96 13-85 t + 3 + 0.4 + 40 I .0 14.88 '4-77 u + 4 + a. 5 + 22 i-5 14.82 14.71 w + 17 + 2.0 - 17 o.o 15.00 14.89 g + 28 + 3-3 + 57 II. O 3-72 13.61 d + 40 + 4.8 + 121 36.4 10.94 10.83 P + 40 + 4.8 + 37 IO.O 13.64 13-53 a + 139 + 16.6 -448 8.32 8.21 TABLE 102. 8518 Z CASSIOPELB. PHOTOMETER MEASURES OF COMPARISON STARS. 1904 September 5. 6-INCH. Good, a little dull. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m o 20 39 31 Dai 13.3 12.8 13.4 I3-I7 12.95 0.63 7-94 7-83 E 14-3 '3 7 15 o '4-33 14-33 0.84 8-15 8.04 Ad\ 10.0 9.0 9.9 9 63 9-55 0.24 7-55 7-44 a 17.0 15.8 15.9 16.23 16.62 1.17 8.48 8-37 h 37-5 39-9 38-2 38.53 37-82 3-65 10.96 10.85 30 b 24-5 25.1 25.0 24.87 25-22 2-15 9.46 9 35 d 39-5 39-9 39-8 39-73 39-78 3.82 "-13 ii .02 d 40.0 39. 7 39.8 39-83 b 24 .9 2S . 2$ Q 2? 57 h 77 . l 77 . 7 7.6 . Q 77 . IO a 17.2 17.0 16.8 17 . OO Aai 9.2 9.3 9.9 9-47 E 14.. 1 14.8 17 O I A 77 20 59 28 >, 12.2 12.9 13. I 12-73 STELLAR PHOTOMETRY. N OS PLATE 12. -305 * -I- to' u . W 1 1 * S V 5' a,' f. . Scale, i mm = 7". 2. 1902 January R - A - 8518 Z CASSIOPEIA. 39 m 39 s -9- Dec. + 56 i' 33", 1900. CHAPTER XII. Z CASSIOPEIA. 163 TABLE 102. 8518 Z CASSIOPEIA. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1904 October i. 6-INCH. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 22 32 22 52 O '7 15 E A a i D a i a d b h h b d a D al A 01 Eat E 14.7 15.3 14.7 9.8 9.9 9.0 14.0 13.3 13.7 15-3 '5-9 15-7 38.2 38.3 38.1 28.4 27.9 28. I 37-9 38.2 38.6 38.3 38.7 39-0 28.2 29.1 28.3 38.9 39-1 39-o 16.8 16.3 16.3 14.2 13.8 13.7 9.9 10. i 9.1 2O.9 21 .3 22. O 13-4 H -o 13-3 14.90 9-57 13-67 15-63 38.20 28.13 38.23 38.67 28.53 39-00 16.47 13.90 9.70 21 .40 13-57 14.24 9.64 13-79 16.05 38.60 28.33 38.45 0.82 0.25 0.76 1.09 3-71 2.49 3-70 8.07 7-50 8.01 8-34 10.96 9-74 10-95 7.96 7-39 7.90 8.23 10.85 9-63 10.84 1904 October 5. Floating clouds. 21 2O 21 37 27 25 A., Eat Dai a d b h h b d a 8.2 8.2 7.5 18.4 17.8 18.6 12.2 12.3 12. O 13-4 13-5 14 2 38.3 38.9 38.2 23-5 23.3 23.9 36.1 36.0 35.6 36.6 36.1 36.3 24.7 25.2 25.8 37-8 37 4 38 o 13 3 13-4 '3-3 7-97 18.27 12.17 13-70 38.47 23-57 35.90 36.33 25-23 37-73 13-33 O. 12 1.38 0.52 0.72 3.67 2.O7 3-42 7-55 8.81 7-95 8.15 II . IO 9 50 10.85 7-44 8.70 7.84 8.04 10.99 9-39 10.74 13-52 38.10 24.40 36.12 1904 October 27. Fine. 20 34 20 57 33 29 Dai E Aai a d b h h b d a Aai Eat E Dai Dai 15.2 14.9 14.9 13.0 13. i 13.0 8.7 9.4 8.8 14.7 14.9 15.1 38.6 39.2 39.3 24.3 25.2 24.9 38.2 37.7 37.0 37-7 37-6 37.8 27.7 27.1 27.2 39-5 39-7 39-2 15.1 14.6 15.1 9.2 9.0 9.0 20.0 19.3 19.7 12.9 '3-3 13 o 12.4 13.2 12.9 14.2 14.0 14. I 15.00 13 03 8.93 14.90 39-03 24.80 37.63 37.70 27-33 39-47 14-93 9.07 19.67 13-07 13-47 14.24 13-05 9.00 14.92 39-25 26.07 37.67 0.82 0.65 0.18 0-93 3-77 2.25 3-63 8.07 7.90 7-43 8.18 ii .02 9-50 10.88 7.96 7-79 7-32 8.07 10.91 9 39 10.77 1-55 8.80 8.69 164 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 102. 8518 Z CASSIOPEIA. PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1904 September n. 12-INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m 19 26 19 50 4' 38 flai k e g v d b h h b d V g e k <2ai 13-3 13-4 13-1 47-3 49-3 48-8 40. i 41 .0 40.9 37-7 38.2 38.3 49.1 47.4 47.2 3O.O 28.8 29. 2 18.0 18.8 18.2 26.1 26.5 27.3 27.5 27.7 27.0 18.7 19.0 18.0 30.4 30.0 30.1 47.8 48.1 48.8 39-3 39-0 39.0 41 .0 41 .0 40.4 46-5 47-7 48.3 13.5 13.6 14.1 I3-27 48.47 40.67 38.06 47.90 29.67 18-33 26.63 27-40 i8.57 30.17 48.23 39.10 40.80 47-50 13-73 13-50 47-99 40.74 38.58 48.07 29-92 18.45 27.02 0.85 4.62 3-86 3.61 4-63 2.64 1.50 2-38 9.17 12.94 12. 18 "93 J2.95 10.96 9.82 10.70 9.06 12.83 12.07 ii .82 12.84 10.85 9-7' 10.59 1904 November 2. Fair to good, quiet, dull. 20 36 20 56 3i 29 a d b h e k S ! e h b d a 12. I II .2 12. O 35-o 35.0 35.0 24.3 22.9 23.3 32-7 31-5 32-5 47.7 48.6 47.2 57-7 59-7 57-3 43-3 44-o 43.8 44.8 44.0 44.3 59-2 57-8 59-9 46 . 1 45 . 2 46 . 8 34-0 33-o 31.8 23.2 23.6 23.2 35-0 34.8 34.2 12.3 11.5 u.i 11.77 35-00 23-50 32.23 47-83 58.23 43-70 44-37 58.97 46.03 32.93 23-33 34-67 11.63 11.70 34-84 23.42 32-58 46.93 58.60 44.04 0.63 3.18 2.06 2-93 4-51 5-43 4.22 8.38 10.93 9.81 10.68 12. 26 13.18 11.97 8.27 10.82 9.70 10.57 12.15 13-07 U.86 1904 November 3. Twilight at beginning, good. 20 37 20 56 32 29 a d b h e k g g k e h b d a Oai 7.0 8.1 7.2 32.3 32.1 32.1 19.9 19.3 19.6 32.8 31.1 32.1 44.8 44.9 45.4 49-5 49-6 49.7 41.8 41.8 42.3 41.5 42.0 42.2 51.6 51.3 50.7 45-5 43-6 44.7 31.0 32.0 32.2 19.9 21.2 20.3 33-3 32-6 32.1 6.0 8.1 7.2 14-7 15-2 15.1 7-43 32-17 19.60 32.00 45-03 49.60 41-97 41.90 51 20 44.60 31-73 20.47 32.67 7.10 15.00 7-27 32-42 20.04 31-87 44.82 50.40 41.94 0.23 2.90 1.72 2.85 4-30 4.84 4.00 8.2 5 IO.92 9-74 10.87 12.32 12.86 12. 02 8.14 10.81 9-63 10.76 12.21 12-75 II .91 CHAPTER XII. Z CASSIOPEIA. 165 TABLE 102. 8518 Z CASSIOPEIA. PHOTOMETER MEASURES OF COMPARISON STARS. Continued. 1900 July 12. 40-INCH, WEDGE II. Moon. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings C. Magnitude. Mean of 3. Mean of 6. H. P. h m 21 o d X s e a k 1 y. h 11.2 16.0 14.0 15.2 34-4 3i-8 32-9 32-7 45.1 44.0 44.9 44.2 26.0 24.7 24.8 23. i 37 5 14. 10 32.95 44-55 24.65 37-5 35-20 28.48 34-95 30.60 11.38 0.56 3-07 4.46 2. 2O 3-65 3-4' 2.7O 3-38 10.87 13-38 14-77 12.51 13.96 13-72 13.01 >3 69 10.76 I3.27 14.66 I2.4O 13.85 I3.6l I2.9O I3.58 31-78 34-5 35-o 33.9 37.4 26.7 29.9 28.3 29.0 34-i 35-3 35-4 35-O 30.2 30.3 31.0 30.9 10.9 12.8 ii ,o 10.8 0.23 10.54 10.34 1900 October 24. WEDGE II. Seeing variable. 2 15 b d ? P V n e k g e n V P I 15.0 17.1 15.7 28.2 27.7 28.7 54-5 53-3 53-5 55 o 53.1 55.0 53-o 55-3 5i-2 58-3 58.1 57-2 35-8 37.7 37.9 44-2 44-9 43-6 37-2 37-8 37.8 37-8 36-7 36-0 43-5 43-8 44-3 35 o 37.0 37.2 54-2 55-9 56.7 50 . o 49 o 51.2 50.2 52.1 51.1 49 9 52 4 50.0 24.3 27.2 28.2 <5-93 28.20 53-77 54-37 53-17 57.87 37-13 44.23 37.60 36.83 43.87 36.40 55-60 50.07 5i-i3 50-77 26.57 0.83 2.56 5-13 5-18 5-io 5-50 3-57 4.40 3-62 9-37 II . IO 13-67 13-72 13 64 14.04 12. II 12.94 12. 16 ' 9.26 10.99 I3.56 I3.6I 13-53 13-93 12. OO 12.83 12.05 27-39 52.27 52-75 51.62 56-74 36.77 44-05 37.22 1905 January 3. WEDGE v. Good. 3 o e n v P 1 9 P v n e k g 24.3 24.8 25.9 31-9 33 o 31.6 26.0 27.8 27.3 41.7 41.7 41.5 55-7 56.4 57-4 38.7 37-9 37-3 39-4 39-3 40.6 39-5 40.0 39.1 38.1 38.3 38.0 54.2 56.8 57.8 41.2 39. i 40.8 27-0 25.5 25.7 30.0 29.9 29.8 2O. 2 21.2 22.2 25.00 32.17 27.03 41-63 56-50 37-97 39-77 39-53 38-13 56.27 40.37 26.07 29.90 21 .20 23.10 31-04 26.55 41 .00 56.38 38.05 39-65 2.04 2.77 2-33 3-89 5-31 3-56 3-74 12. O6 12.79 12.35 13.91 15.33 I3-58 I3-/6 ii 95 12.68 12.24 13.80 15.22 '3-47 13-65 166 RESEARCHES IN ^STELLAR PHOTOMETRY. TABLE 102. 8518 Z CASSIOPEIA. PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1905 January 7. WEDGE V. Clear, unsteady. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. h m g 25-0 25.5 25.4 25-30 24.90 2.19 12.08 11.97 k 31-5 32-7 32-8 32.33 32.62 2-93 12.82 12.71 e 28.7 28.9 29.7 29. 10 27.52 2.42 12.31 12.20 n 41 .8 42.9 42.0 42.23 42.46 4-05 13-94 13-83 v 53-8 54-4 55-2 54-47 55-27 5-24 15.13 15.02 P 39-' 39-3 39-7 39-37 39-54 3-73 13.62 13.51 1 41.1 40 . 9 40 . 2 40-73 40.82 3-87 13-76 i3- 6 5 -.3 t) 1Q i 7Q 2 4.O 8 ^Q 7O 1) SS 7 S6 2 S6 ^ c6 O7 27Q251247 24. 6^ k 2-3 . -J -12 5 ^2 . Q 12 OO 3 24 5u 25.5 27-3 28-9 27.23 i MAGNITUDE. IS 14 13 IZ II 10 SO 85/8 Z CASSIOPCIAE.. 30 u I- u> 20 m FIG. 34. MAGNITUDE-CURVE FOR Z CASSIOPEIA. CHAPTER XII. Z CASSIOPEIA. 167 TABLE 103. 8518 2, CASSIOPEIA. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. Star. 1904 September 5. 1904 October i. C. Obs. Mag. A Mag. C. Obs. Mag. A Mag. H. P. H. P. H. P. H. P. A ... -0.51 0. 12 6.80 7-i9 6.69 7.08 + .32 -32 -f.n . 12 0.50 O.OI 6.75 7.26 6.64 7-'5 + .27 -25 + .06 -05 D Means . . . 7.00 7-3' 6.89 7.20 32 .12 0.25 7.00 7-25 6.89 7-i4 .26 .06 Star. 1904 October 5. 1904 October 27. C. Obs. Mag. A Mag. C. Obs. Mag. A Mag. H. P. H. P. H. P. H. P. A -0.63 -0.23 6.80 7. 20 6.69 7.09 + .32 - 3i + .11 . II -0.57 0.07 6.68 7-32 6-57 7.21 + .20 - .19 .01 + .01 D Means -0.43 7.00 7-43 6. 7- 89 32 .32 ." -0.25 7.00 7-25 6.89 7-14 .20 .OI M n 12-INCH. 40-INCH. *" (ffll C. Star. Mag. 1 2-inch. C. h Sept. n. Nov. 2. Nov. 3. July 12. Oct. 24 Jan. 3. Jan. 7. a 82 9 o.oi 0.63 5 i . 50 2 . 06 5 2.64 3.18 i 2 . 38 2 . 93 0.23 1.72 2.90 2.85 d e h k 10.94 12.25 10.75 12.99 11.97 0.56 2. 2O 0.23 2.70 3'57 2-33 2.42 j y ' 3 a ii c 4.40 3.62 2-77 2.04 2-93 2. 19 Mean C - . i 63 2. 2O 9-95 7-75 i-93 9-95 8.02 M M M ean C 1.42 "73 10.31 3.86 12.40 8.54 2.38 12.40 IO.O2 2.51 12.40 9.89 Mean Mag. 9-95 9-9* Mo .... 8 -*2 eanMag. i68 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 104. 8518 Z CASSIOPEIA. MEAN MAGNITUDES OP COMPARISON STARS. 6-INCH. Star. September 5. October i. October 5. October 27. Mean. Mag. A Mag. Mag. A Mag. Mag. 4 Mag. Mag. J Mag. Mag. H. Mag. P. J Mag. A .. D .. Mean a. . . b.. . . d... h... Mean E... 6.80 7-19 + 0.04 -0.05 6.75 7.26 O.OI + 0.02 6.80 7.20 + 0.04 0.04 6.68 7-32 -0.08 + 0.08 6.76 7-24 6.65 7-13 0.04 0.05 7.00 6.89 0.04 8.48 9.46 11-13 10.96 + 0.19 0.09 + 0.08 + 0.05 8-34 9-74 10.96 10.95 + 0.05 + 0.19 0.09 + 0.04 8.15 9-50 II . IO 10.85 o. 14 0.05 + 0.05 0.06 8.18 9-50 it .02 10.88 0. II 0.05 0.03 0.03 8.29 9-55 11.05 10.91 8.18 9-44 10.94 10. 80 0.12 0.09 0.06 0.04 9 95 8.04 9.84 7-93 0.08 0.08 8.15 + O.II 8.07 + 0.03 8.06 + O.O2 7.90 o. 14 12-INCH. Star. September n. November 2. November 3. Mag. d Mag. Mean. Mag. A Mag. Mag. J Mag. Mag. A Mag. Mag. H. Mag. P. A Mag. a. . . b... . d. .. h... Mean e .. . g.... k. .. Mean 8.33 9.82 10.96 10.70 + O.OI + 0.03 + 0.02 0.05 8.38 9.81 10.93 10.68 + 0.06 + O.O2 O.OI 0.07 8.25 9-74 10.92 10.87 0.07 0.05 O.02 + O. 12 8.32 9-79 10.94 10.75 8.21 9.68 10.83 10.64 0.05 0.03 0.02 0.08 9-95 9.84 0.04 12.18 ii-93 12.94 O.O7 O.O4 0.05 12.26 11.97 13.18 + O.OI o.oo +0.19 12.32 I 2. O2 12.86 + 0.07 + 0.05 -0.13 12.25 11.97 12.99 12. 14 11.86 12.88 0.05 0.03 0.12 12.40 12.29 0.07 40-INCH. Star. January 3. January 7. July 12. October 24. Mean. Mag. J Mag. Mag. J Mag. Mag. A Mag. Mag. J Mag. Mag. H. Mag. P. J Mag. d 10.87 12.51 10.54 13.01 O. 12 + 0.19 II . IO 12. II + O. 12 O.2I 10.98 12.32 (io.54 12.89 12. IO 10.87 12.21 10.43) 12.78 ii 99 0.12 . O. II 0.08 0.04 e ... h . . 12-35 + 0.03 12.31 O.OI k. .. g.... Mean n . . P q... . x . 12.79 12.06 o. 10 0.04 12.82 12.08 0.07 O.O2 + 0. 12 12-94 12. 16 + 0.05 + 0.06 0.06 13-91 13-58 I3-76 0.05 0.06 + 0.04 '3-94 13.62 I3-76 O.O2 O.O2 + O.O4 14.04 13-72 13-67 + 0.08 + 0.08 0.05 13.96 13.64 13-72 (13.38 (13.96 13-85 13-53 13.61 13-27) 13-85) 0.05 0.05 0.04 13.69 13-38 I3-96 0.03 ... Mean 0.05 CHAPTER XII. Z CASSIOPEIA. I6 9 TABLE 105. 8518 Z CASSIOPEIA. VISUAL OBSERVATIONS OP THE VARIABLE. No. Date. Ocular. Aperture. Comparisons. Reduction, Steps. Means. Seeing. /. JMag. Month and Day [our .S.T. Julian Day G. M. T. Steps. Mag. i 2 3 4 5 6 7 8 9 10 ii 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 31 32 33 34 35 36 37 38 39 40 4' 42 43 44 45 46 47 48 49 5 51 52 53 54 55 1898 Nov. ii 1899 Jan. 4 9 14 "9 24 Feb. 7 18 24 28 Mar. 7 13 28 Apr. 4 16 21 May 10 21 29 June 7 10 July 5 29 Aug. 10 26 Sept. 13 25 Oct. 2 7 21 24 Nov. 4 20 22 26 Dec. 4 19 23 1900 Jan. i 8 20 Feb. 4 10 22 25 26 Mar. 6 ii '9 3" Apr. 29 May 20 June 15 July 12 7 7 7 6 7 7 '{ 7 8 8 16 16 16 16 15 10 10 14 ii 10 9 9 8 7 8 7 8 8 2410000+ 4605.6 4659 4664.52! 4669.54 4674-54 4679.50 4693 52 4704.54 4710-54 47I4.54 47I4.55 4721-54 4727-56 4742 56 4749.92 4761.92 4766.92 4785-92 4796.88 4804.67 4813.67 4816.83 4841.71 4865.67 4877.63 4893.61 4911.58 4923.54 4930.58 4935 54 4949^6 4952 56 80 150 200 40 150 150 200 15 150 150 80 150 150 200 200 ISO 150 ISO ISO 150 J5 15 150 200 150 200 200 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 photograph, dyv, vir 33-4, 32-5 33-0 34-4 32.9 32-4 31-9 3-4 29.4 29.8 <32 24.0 24-3 23-3 21. I 23 <23 <2I <23 <23 <23 <23 <22 <22 <22 <22 <22 <22 <22 <2I <22 <22 <22 ii. 3 II. IO 1 1 .29 11.32 ii .40 "45 11.68 ii .69 3-4', m'6e \ m' is double, n and 12* ) -IT A 28 I . .... em, diov vie, g4i>, diov giv, ve, limit v K4T, ve 62-3?, vk 22.1, 26.4 \ 24.1,23.5,26.4.: / 25-5, 23.1 23-5. 23.1 2O.6, 21.6 fair fair good fair poor 109 116 122 137 144 + 0.50 +0.30 +0.31 +0.37 0.0 7 7 7 7 7 6 7 7 . 7 9 7 7 9 7 7 8 8 7 8 15 14 9 13 4963-54 4979-52 4981.54 4985 54 4993 54 5008.50 5012.54 5021.52 5028.54 5040.62 5055-54 5061.54 5073-63 5 76 . 54 5077.54 5085 58 5092.58 5098.54 ' 5110-56 5139-88- 5160.83 5186.63 52I3-79 200 15 2OO 2OO ISO ISO 2OO ISO 350 350 350 350 350 80 15 150 150 150 40 40 150 40 150 150 150 237 6 6 6 6 6 6 6 6 40 40 40 40 40 12 6 6 6 6 6 6 6 6 6 ( 6 40 <22 <23 <2I <2I <22 <22 <22 <2I 10.5 IO.O 13-7 18.0 24.3 27.2 25-5 34-0 39-5 40.4 42.1 40.0 38 9 34-7 29.1 3p, piq, qi 1/3-41, k4.v, Ti8n lift- Sx, v$k, vie, dicni dSv, ryv, -vig, limit i 38.1, 37.6, 41.0. . . . 35-o, 33-6, 35-5 29.1, 29.1 170 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 105. 8518 Z CASSIOPEIA- VISUAL OBSERVATIONS OF THE VARIABLE. Continued. No. Date. J Aperture. Comparisons. Reduction, Steps. Means. Seeing. t. J Mag. Month and Day. Hour C. S. T. Julian Day G. M. T. Steps. Mag. 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 7i 72 73 74 75 76 77 78 79 80 Si 82 83 84 85 86 8? 88 89 90 9i 92 93 94 95 96 97 98 99 IOO IOI 1 02 103 1900 Aug. 6 14 28 Sept. 6 13 Oct. 4 16 24 1901 Feb. 9 Dec. 21 1902 Jan. 13 Oct. i 3i Nov. 7 1903 Oct. 10 1904 Aug. 4 29 Sept. 5 ii Oct. i 8 27 30 Nov. 2 6 '4 '90.S Jan. 3 3 24 28 Feb. 9 25 Apr. 4 ii 30 May 22 June 4 13 27 July 23 3 Aug. 6 19 22 28 Sept. 17 Oct. 20 Nov. 21 9 8 8 ii 12 8 9 12 9 8 9 10 15 9 8 8 10 1 1 8 8 7 7 8 7 16 16 15 '4 H 14 '4 1 1 12 9 9 II 9 8 8 6 2410000+ 5238.63 5246.58 5260.58 5269.71 5276.75 5297-58 5309 63 53I7-75 5425-63 5740.58 5763 6 6024.63 6054.67 6061.88 6398 6697.63 6722.56 6729 6735-58 6755 67 6762.71 6781 6784 6787 6791 6799 6849.56 6849 . 56 6870.54 6874.54 6886 . 56 6902 . 52 6940.92 6947.92 6966.88 6988.83 7001.83 7010.83 7024.84 7050.71 7057-75 7064.63 7077-63 7080 . 7 i 7086 . 63 7106.58 7139-56 77'-5o 150 150 200 237 237 237 460 237 150 350 237 237 237 67 150 150 40 67 40 237 237 237 237 237 237 275 237 237 237 237 450 450 237 237 237 237 237 237 237 150 150 80 150 6 6 6 40 40 40 40 40 6 40 24 40 40 40 12 6 6 6 12 6 40 6 24 12 4 24 40 40 40 40 12 40 40 40 40 40 40 40 40 40 40 40 40 40 6 6 12 6 g3~ 41), i> limit 24.0 24.0 23-7 19.8 21. I 21.6 14-5 12.8 12.30 12.33 12.80 12.65 12.59 13-38 13-59 13-64 2k 41), km, limit v CIV "V\X . 24.5 23.1, 23.6 19.1 20.6 22. I 2O. I 22 I 211 xyu, i>4<7 87), 1>4W, i)3/>, T>3q, x$-6v. . photometer I4.I 15.0 (13.6, 12.0, 13.0. .) (140 1 1 6 y v not seen limit e <23 22.7 16.5 25.0 30.0 ve, V2k, 1)4-5 x ksv, xyi, v 5-6 o g2D, 1/1-20 D3g, v6e photometer 23.1, 23.6, 21.6 16.6, 14.1, 18.7 25-5, 24.6 30.5,29-1 i) not seen, limit 2 < k <20 24.8 23.1 <2 3 g3D, TI20 g4ii, eiv, Ti2k (photometer, v not seen, 24-5,25-1 23.5, 22.1, 23.6 photometer (photometer, v not seen, <23 14.4 <2I #681) k8v v&p 7)6o 10.1, 13.6, 18.0, 16.0 photographs v not seen, limit 2 2-3, 1/40, x(>v. . . . 1/4?, 7)5, xsv photometer 1)40, 7)39, xdv xyu, v^q 3:3-47;, us?, 1)50 D7-8:r, 11451;, 7)g, hS-iov. . VIO-I2X, v^e, D2g, h&Ti. . . . hi-v, d2-v, 7)8g 667), 1)6/1, v6d v$d, v6h, b6v dm, hiv 13.9, 14.0, II. I. . . . 14-', 15.0 13.6, 16.0, 14.9. . . . 24.6, 27.6, 27.5, 28.0 28, 28.1,29.5, 29 36.0, 34.4, 35 38.1, 42.0, 42.4. . . . 38.1, 43.0, 38.1. . . 32.1, 36.0 '3-4 14-5 14.8 27-3 28.8 35-2 40.8 39-3 34-o CHAPTER XII. Z CASSIOPEIA. CO Oi 00 N 2 CO Co I tk CO C5 I (X I FIG. 35. LIGHT-CURVE OK Z CASSIOPEIA 172 RESEARCHES IN STELLAR PHOLOMETRY. TABLE 106. 8518 Z CASSIOPEI.B. MEAN MAGNITUDES FROM 41 DAY GROUPS. Group No. . . I. D . . i 4 1 2 82 3 123 4 164 5 205 6 246 7 287 8 328 9 369 IO 410 II 451 12 492 (I o 64 IO7 1 4.0 4^6 472 M ii 3 T I 71 I 2 O7 I 2 52 13. 74 II .83 m -f o 6 + o 16 _f_O 26 + O 2 4-O "S4 -f o 14 No c I 2 2 6 !t 7 C2 IO2 I^I 184 216 M 12 48 12 87 1-262 JM _ O 77 o 06 o 25 o 18 No 2 2 I 1 2 r t TCI A'l e: 468 M It IS 12 2O ii ^6 55 8 9 JM o 06 -f-O 21 I 25 O 74. I No. I I I 2 f / 145 189 218 276 393 433 M 12 52 I-i-iS T T OS i s 06 T 7 E;-I 6 \ m + o 09 fo 18 + O IO + o 06 o oo + o 04 I No. 3 i 3 i i 4 r t Means \ * L No. 5 10.63 0.03 3 61 11.08 O.O2 7 106 11.88 + 0.09 7 147 12.50 -f 0.05 9 185 13 3 0.05 5 217 13.82 O.OI 5 276 15.06 + 0.06 i .... 393 14.64 o.oo I 436 13-44 O.OI 8 471 II .76 O.02 8 IOO ZOO 3OO DAYS 44O 50O 600 to m 1 " s ~ " i * ^ X _ __ _j _ j _ ^ H . . -- 85/8 Z CAS$!QPIA / " " If \ ^ ^ r "I ^ wax. .^>t^" -H- - c . - -~*r\ SJ ^ Af//7. = 329 \l\ r M- m /? 135.8; Dec. +55 7' 35* (1900). This variable was discovered by Mrs. Fleming in 1898 at Harvard, from the bright hydrogen lines in its third type spectrum. H. C. O. Circular, No. 24, states that there are 101 plates containing the field, so when these are measured the variation of the star will be thoroughly known. The brighter stars in the field were measured with the 6-inch in February and March, 1898, and the place of the variable relative to the stars A and B (Cambridge A. G. catalogue) found as given above. The stars b, e, and / were connected with the variable with the micrometer on the 4O-inch in February, 1900. The star e was found to be double, about i3th and i4th magnitude, position angle 198, distance 6".6. Visual comparisons of the variable began in February, 1898, a little too late to definitely fix the maximum, which the mean light-curve aids in placing at March n, 9.4 magnitude on the Harvard scale. The decline following this maxi- mum was followed with the 6- and 1 2-inch telescopes, and at the minimum the star remained below the limit of the 6-inch for 91 days, from 1898 September 7 to December 7. The next maximum, 1899 April 8, was well covered with the 6-inch, and the variable was found at minimum with the 4o-inch, 1900 January 8 (minimum by mean curve, 1899 December 13). The adopted magnitude at the next maximum would be 9.6 or 10.6, according to the weights given to the discordant observations of June 15 and July 12. The probable course of the variations from October, 1900, to August, 1904, is shown by the broken line in fig. 38, fixed by the aid of the mean light -curve, guided by occasional observa- tions sufficient to give the number of the epoch. From August, 1904, regular comparisons fix the maximum of epoch 6 and the following minimum, and show that the adopted period, 410 days, is substantially correct. TABLE 108. 8629 Y CASSIOPEIA. STANDARD MAGNITUDB STARS. Star. B. D. No. 1900. Color P. DM. Magnitude. Residuals. R. A. Dec. Catalogue. Measured. I''f m Cats. 3 Nights inter se. H.C.O. P. DM. H. P. H. P. C F' G + 54 3109 + 55 355 + 55 3041 h m s oo oo 30 23 5i 53 23 49 02 o / + 55 09-2 + 55 17- + 55 56.0 G- WG G 7 .11 7.01 7.48 7-05 6.57 7.16 7.29 6.88 7-43 7.02 6.61 7.16 + 18 -3 - 5 - 3 + 4 o 4 6 6 7.20 6-93 7.20 6.93 12 2 5 75 1 7 6 RESEARCHES IN STELLAR PHOTOMETRY. MAGNITUDES OF COMPARISON STARS. The standard magnitude stars in the two fields in the constellation Cassiopeia? are distinguished from those in the other ten fields in that they are fainter in the Harvard than in the Potsdam Catalogue. The difference is only o. n in the Z Cassiopeia? field, where it might be partially accounted for by the use of only two stars. But in this field, for three stars, the difference amounts to 0.27. That this is not accidental, nor entirely due to the star colors, is shown by the standards in two " Rumford" fields, U and S Cassiopeiae, where the differences are 0.16 and o.oi, respectively, so that the mean difference for the four fields in this constellation is 0.14, as compared with +0.29 for the other ten fields here considered. If the Harvard scale is adopted for this field the limit of vision of the 6-inch becomes 13.53 from the star , an abnormally faint limit. TABLE 109. 8629 Y CASSIOPEIA. COMPARISON STARS IN B. D. CATALOGUE. B. D. 1855- B. D. 1855- btar. No. Mag. R. A. Dec. otar. No. Mag. R. A. Dec. O h m s O / o h m s / P + 54 3096 9-5 23 54 45 + 54 38.5 .r + 54 3102 9-5 23 55 42 + 54 45-6 + 54 3098 9i 23 54 55 + 54 36.7 A + 54 3103 ' 79 23 56 2 + 54 44-9 I + 54 3099 9-5 23 55 3 + 54 48.8 m + 54 3'5 9-5 23 56 42 + 54 54-0 B + 54 3ioi 8-3 23 55 '3 + 54 46.9 + 55 3078 9-i 23 56 4 + 55 13-3 TABLE no. COMPARISON STARS FOR Y CASSIOPEIA (IN ORDER OP RIGHT ASCENSION). Star. Coordinates from Variable. Light Scale, Steps. Magnitude. R. A. Dec. Measured. From Curve. H. P. H P. P' 1 o' B k h s P I d 1 2* e a c n t ft m r n -637 -536 -509 -457 -438 -397 -186 -125 122 122 - 8 7 + I + 19 + 23 + 49 + 5i + 54 + 60 + IIO + 128 + 223 + 393 + 426 + 479 j -74-3 -62.5 -59-4 -53-3 -5i-i -46.4 -21.7 14.6 -14.2 -14.2 IO.2 + O.I + 2.2 + 2. 7 + 5-7 + 6.0 + 6.3 + 7-0 + 12.8 + 14-9 + 26.0 + 45-8 + 49-7 + 55-9 ft - 822 - 945 + 328 - 170 + 343 - 387 + 112 + 92 426 + 406 + 64 + 50 + 141 + 6 - 470 - 73 + 50 - 103 + in + 497 - 505 + 1287 + 150 + 139 27.2 9-'7 8.90 23.2 9.87 9.60 4-4 7-i 8-35 IO. 10 8.08 9-83 13.09 12.60 12.82 12.33 6.0 19.6 10.8 7-8 0.0 5-9 2.1 I6. 3 12.82 10.46 "43 12.13 7-77 14.01 13-53 10.71 12-55 10. 19 n . 16 11.86 7-50 13-74 13.26 10.44 12.83 12.56 31-8 25.0 10.02 9-75 8.40 8.13 *The preceding component. STELLAR PHOTOMETRY. + i N Om PLATE 13. n .-P d. "e. J> f-0 a ' -.A < t +20' +10' o' >P . Scale, i mm= I3".6. 1902 August 15. 8629 Y CASSIOPEIA. R. A. 2 3 h 5 8m I3 9 .8. Dec. +55 7' 25". 1900. CHAPTER XIII. Y CASSIOPEIA. 177 TABLE in. 8629 Y CASSIOPEIA. PHOTOMETER MEASURES OF COMPARISON STARS. 1904 October 6. 6-INCH. Fine. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings C. Magnitude. Mean of 3 Mean of 6 H. P. h m 21 38 31 56 o 27 25 C al m V A B I F'a, Gai Goi F'o- l B A m Ca. 12.6 12.7 12. i 28.8 30.0 30.0 34-9 36-1 35-3 IO.2 IO.2 IO.O 15.1 15.0 15.0 28. I 28.0 27.9 IO.O IO.O 9.2 12.9 14-3 13-7 13.1 13.8 13.3 8.8 9.6 8.9 26. i 25.8 27.2 14.3 15.0 14.7 10.9 it. i 10.8 2 9- 7 30.0 29.0 12.2 II. 7 12. O 12.27 29.60 35-43 10.13 15-03 28.00 >3-63 '3 63 13 40 9. 10 26.37 14.67 10.93 29-57 11.97 12. 12 29-59 0.52 2.63 3 40 o-35 0.91 2.36 0.23 0.72 7.98 10.09 10.86 7.81 8-37 9.82 7.69 8.18 7-7i 9.82 10.59 7-54 8. 10 9 55 7-42 7-91 '0.53 14.85 27.19 9-42 13-52 1904 October 15. Good o 26 o 50 16 18 Gai G F'a, I B s A m C C m v A B I F'a, Gai 16.9 18.4 17.5 10.3 II .O II .2 10.8 11.3 10. 2 31.7 32.1 32.2 17.1 18.1 18.1 32-9 33 i 32-7 13.1 14.0 13.4 31-7 32-9 32-4 IO.O IO.O 9.2 10. i 8.9 9.7 32.0 33.6 33.4 35-6 36-1 34-7 15.0 13.9 14.7 18.3 18.0 18.2 31.0 30.7 31.1 13.4 12.6 12.8 17. i 16.4 16.9 17.60 10.83 10.77 32.00 '7-77 32.90 13-50 32.33 9-73 9-57 33 oo 35-47 14-53 18. 17 30.93 12.87 16.80 17.20 1.24 0-37 0.49 2.86 1-35 3 04 0.78 3 .02 0.25 8.28 7.41 7-53 9.90 8-39 10.08 7.82 10.06 7.29 8.01 7.14 7.26 9-63 8.12 9.81 7-55 9-79 7.02 ii .82 3'-47 17-97 14.02 32-67 9-65 3-40 10.44 10. 17 1904 October 27. Fj ne 21 O 21 18 3i 28 Gai F'a, / B t A V m Ca, Ca, m A B I F'o, <7a, '2-7 13-7 13-6 9.6 8.6 9.2 27.5 28.0 27.6 13-7 13-9 13 6 27.8 28.0 29.0 9.1 10.4 9.8 23.2 24.4 24.0 28.0 28.2 28. i 12.9 12.9 13.8 13.3 14.0 12.8 29.0 28.5 29.3 9.6 10.3 ii . i 15.1 15.8 15.0 28.5 28.1 28.9 IO.O IO.I IO.I 13.2 13.0 13.8 13.33 9.13 27.70 13-73 28.27 9-77 23 - 8? 28.10 13.20 '3-37 28.93 10.33 15-30 28.50 10.07 13-33 13-33 9.62 28. 10 I4-52 0.68 0.25 2 -47 0.87 2-47 0.28 2.03 2-51 0.68 8.09 7.66 9.88 8.28 9.88 7.69 9-44 9-92 8.09 7.82 7-39 9.61 8.01 9.61 7.42 9-17 9-65 7.82 10.05 28.52 13-29 178 RESEARCHES IN STELLAR PHOTOMETRY. TABLB in. 8629 Y CASSIOPEIA. PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1904 September 2. 12-INCH. Good. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. P. k m '9 35 19 53 o 44 40 I B Bai A at V b d c m m c d b A oi Bai B I 20. o 20.9 21 .0 5.0 6.7 5.6 14.2 14.4 14.8 10. 7 10. i 10. i 36.2 36.8 36.9 27.9 28.0 28. i 35-o 35.1 35-o 30.0 29.3 30.2 22.0 23.1 23.1 23.2 22.9 23.6 31.0 30.9 29.9 36.6 36.4 36.2 26.1 28.7 26.9 9.0 10.1 10.0 14.0 15.1 14.9 6.7 7.2 6.7 20.7 20.7 20.3 20.63 5-77 H-47 10.30 36.63 28.00 35.03 29.83 22.73 23-23 30.60 36.40 27-23 9.70 14.67 6.87 20.57 20.60 6.32 '4-57 IO.OO 1.78 O.22 I .OO 0-44 3-40 2-43 3-27 2.67 2.OI 9.84 8.28 9.06 8.50 ii .46 10.49 "33 10.73 10.07 9-57 8.01 8.79 8.23 11.19 10.22 II .06 10.46 9.80 27.62 35.72 30.22 22.98 1904 November 2. Fair, a little dull and unsteady. 21 1 21 24 3i 28 I B s Aai V b d c m m c d b Aai S B I 25.6 24.4 25.1 12. O 12. O II. 8 27.8 28.8 28.2 14.9 14.6 15.0 19.7 19.7 18.9 32.3 32.1 32.1 42.7 42.5 42.1 33 2 33 9 32.9 27.3 28.0 27.4 27.9 27.8 27.7 34.8 34.1 33.4 40.4 40.9 41 .6 32-1 33-3 32-8 12.8 12.4 13.3 29. i 29.2 28.7 12. I 12.6 12. I 26.6 27. I 26. I 25-03 "93 28.27 14-83 '9-43 32-17 42-43 33-33 27-57 27.80 34-10 40.97 32.73 12.83 29.00 12.27 26.70 25.87 12. IO 28.64 I3.83 2.27 0.69 2.52 0.90 1.64 2.90 3-97 3 05 2-43 9.87 8.29 IO. 12 8.50 9.24 10.50 "57 10.65 10.03 9.6o 8.02 9.85 8.23 8-97 10.23 11-30 10.33 9.76 32.45 41.70 33-72' 27.69 1904 November 3. Good. 21 I 31 2O 30 28 m c d b V A at S B I I B s .Am b d c m 24-9 25.3 25.1 31-9 30.9 3I-I 36-5 37-6 36.7 28.0 28.7 27.8 16.2 16.6 16.4 IO.I IO. I 9.2 24.5 24.9 24.3 8.2 7.9 6.9 23.2 22.8 23.2 22.7 23.3 22.4 7.8 7.1 7.3 23.0 24.1 24.2 8.2 9.8 9.0 27.5 27.0 27.7 38.0 37.4 37.3 31.2 31.2 32.1 24.2 24.0 24.0 25.10 31-30 36-93 28.17 16.40 9.80 24-57 7.63 23-07 22.80 7.40 23-77 9.00 27.40 37-57 31-47 24.07 24-59 31-39 37-25 27-79 2.26 2.78 3-44 2.44 1.24 o-37 2. 12 O.2I 2.OI IO.22 10.74 II .40 10.40 9.2O 8-33 IO.O8 8.17 9-97 9-95 10.47 11.13 10.13 8 93 8.06 9.81 7.90 9.80 9.40 24-15 7-52 22.94 CHAPTER XIII. Y CASSIOPELE. 179 TABLE in. 8629 Y CASSIOPEIA PHOTOMETER MEASURES OP COMPARISON STARS. Continued. 1902 December 26. 40-INCH. Clear, unsteady. Sidereal Time. Zen. Dist. Star. Scale Readings. Mean Scale Readings. C. Magnitude. Mean of 3. Mean of 6. H. p. h m 4 25 O c d b V } a a b d c 16.9 18.5 17.9 25.0 24.3 25.0 12.8 12.9 13.4 30.7 30.1 31.0 30.8 32.1 31.9 44.8 43.8 43.7 44-7 44-4 44-2 29-8 30.7 30.9 14.3 12.6 13.8 25.8 26.4 26.3 19.2 18.5 19.3 17-77 24-77 13-03 30.60 31.60 44.10 44-43 30-47 13-57 26. 17 19.00 18-39 25-47 13-30 1.49 2.24 0.82 2.71 2.76 4-25 10.84 "59 10. 17 12.06 12. II 13.60 10.57 11.32 9.90 11.79 11.85 13.33 31.04 44-27 1905 January 7. Clear, unsteady. 4 6 42 c d b f a a Vai b d c 14.0 14.9 15.3 21.9 21 .8 22.2 7.2 8.6 9.1 26.2 29.3 28.7 36.3 37-1 37-7 37-3 37-5 38-1 16.1 16.0 14.8 28.3 28.6 29.0 ii. o 9.2 10.3 24.6 22.2 24.5 13.9 16.3 16.1 14-73 21-97 8.30 28.07 37-03 37.63 15-63 28.63 10. 17 23-77 15.10 14.92 22.87 9.24 28.35 37-33 1 .04 2.06 0.37 2.50 3-47 10.75 11-77 IO.O8 12 .21 I3.I8 10.48 11.50 9.81 11.94 12.91 1-15 10.86 10.59 1905 January 28. Good. 4 10 4 20 44 c d b v ! a a f u b d c g 13.2 13.8 12.8 20.3 20.3 21. I 4-8 7-9 8.3 9.2 8.1 8.2 22.8 25.7 24.9 38.3 37 2 37.3 36.4 36.9 36.0 25.2 24.4 24.1 7.4 8.2 8.1 7-3 7-8 8.3 18.8 20.2 19.5 12. I 13.7 12.3 24.1 23.7 24.0 13-93 20.57 7.00 8.50 24-47 37.60 36-43 24-57 7.90 7.80 19-50 12.70 23-93 I3-32 20.04 7.40 8.20 24-52 37.02 0.83 1.72 O.2O o. 26 2.17 3-44 10.78 ii .67 10.15 10.21 12. 12 13-39 10.51 II .40 9.88 9 94 11.85 13.12 2. 2O 12.15 11.88 1900 July 12. WEDGE II. Fair, moon. 22 2O b I d c 9 z a f V 13-2 15-5 13-0 I ii. 8 ii. 8 > 24.0 25.8 28.0 I 13.06 26.20 25-05 16.88 32.93 43-5 43-20 26.53 15-55 0.42 2-44 2.26 I .OO 3-19 4-32 4-30 10.06 12.08 II .90 10.64 12.83 13-96 13-94 9-79 IX. 8l 11.63 10.37 12.56 13.69 13-67 26.36 24.7 26.0 25.1 ) 17.0 16. i 16.4 \ 18.0 ) 34.0 32.4 33.0 ) 32-3 > 43 5 43-7 45-o 43-7 I 42 4 ) 24.0 27.7 29.2 ) 2s 2 . . . . . f 0.77 10.41 10. 14 15-9 15-2 .... iSo RESEARCHES IN STELLAR PHOTOMETRY. TABLE 112. 8629 Y CASSIOPEIA. CONSTANTS FOR REDUCTION AND COMPARISON WITH CATALOGUE MAGNITUDES. 6-INCH. 1904 October 6. 1904 October 15. 1904 October 27. Star. C. Obs. Mag. H. P. A Mag. H. C. Obs. Mag. H. P. A Mag. H. P. C. Obs. Mag. | A Mag. H. P. H. P. C.... F' .... G.... -0.23 -0.52 -0.03 7-23 6 94 7-43 6.96 + .12 6.67! .07 7.l6; -.05 -.09 + .10 .OO 0.25 -O.26 0.49 7.29 6.78 7-53 7.02 6.51 7.26 + .18 -23 + .05 - 03 -.06 + .10 -0.07 -0.50 -0.07 7-34 6.91 7-34 7.07 +.23 6.64 . 10 7.071- .14 + .02 + .0 7 -.09 Means Mo.., O. 26 2O6 7 7.46 93-8 7.19 .06 o. 16 7.20 7.04 6-93 6.77 .'5 .06 7-206.93 7-4 1 7- '4 .16 .06 12-INCH. Star. Mag. 6-inch. A B. I . Mean C . . . . Mean Mag.. M .. 7-77 8-35 9.87 IO.O2 8.96 C. Sept. 2. Nov. 2. Nov. 3 -0.40 O.22 1.78 2.OI 0.90 8.96 8.06 0.06 0.69 2.27 2.43 1.36 8.96 7.60 -0.47 O.2I 2.OI 2.26 I. 21 8.96 7.96 40-INCH. Star. Mag. i z-inch 10.46 10.71 "43 Mean C. . Mean Mag . I 10. 87 If... C. Dec. 26. Jan. 7. July 12. Jan. 28 0.82 1.49 2.24 1-52 10.87 9-35 0-37 1.04 2.06 1.16 10.87 9.71 0.42 i .00 2.26 1.23 10.87 9.64 O.20 0.83 1.72 0.92 10.87 9-95 MASNITUOE tf 5/4/3 1 JO -- :::::::::::: 86^9 Y CASSIOPF/AC to i - _ : > [-| 1 1 ^ // to 9 5 1 1*^ ~~~ 10 -- - - I ,- lliililiiiiliii . ^ ~ P* FIG. 37. MAGNITUDE-CURVE FOR Y CASSIOPEIA. CHAPTER XIII. Y CASSIOPELE. 181 TABLE 113. 8629 Y CASSIOPEIA. MEAN MAGNITUDES OP COMPARISON STARS. 6-INCH. Star. October 6. October 15. October 27. Mean. Mag. A Mag. Mag. A Mag. Mag. A Mag. Mag. H. Mag. P. A Mag. c 7.23 6.94 7-43 0.06 + 0.06 o.oo 7.29 6.78 7-53 o.oo O. IO + O. IO 7-34 6.91 7-34 + 0.05 + 0.03 0.09 7.29 6.88 7-43 7.02 6.61 7.16 0.04 0.06 0.06 F' G Mean 7.20 6-93 0.05 A 7.81 8-37 9.82 10.09 +0.04 + O.O2 0.05 + 0.07 7.82 8-39 9.90 jo. 06 10.08 +0.05 +0.04 +0.03 + 0.04 + O. IO 7.69 8.28 9.88 9.92 9.83 -0.08 0.07 + O.OI O.IO O. IO 7-77 8-35 9.87 10. O2 9.98 7-50 8.08 9.60 9-75 9.71 0.06 0.04 0.03 0.07 0.10 B / s 9.00 8-73 0.06 12-INCH. Star. September 2. November 2. November 3. Mean. Mag. A Mag. Mag. JMag. Mag. A Mag. Mag. H. Mag. P. A Mag. A 7.66 8.28 9.84 10.07 + 0.06 + 0.03 0.05 0.04 7.66 8.29 9.87 10.03 +0.06 + 0.04 O.O2 -0.08 7-49 8.17 9-97 IO.22 O. II + 0.08 + 0.08 + O.II 7.60 8.25 9.89 10. 11 7-33 7-97 9.62 9.84 0.08 0.05 0.05 0.08 B / 8.96 8.69 0.06 b 10.49 10.73 "33 + 0.03 + O.O2 O.IO 10.50 10.65 11-57 10. 12 + 0.04 O.O6 + 0.14 + O.O2 10.40 10.74 II .40 10.08 0.06 +0.03 0.03 O.O2 10.46 10.71 >i-43 IO. IO 10. 19 10.44 ii . 16 9.83 0.04 0.04 0.09 0.02 c d 10.68 10.41 0.05 40-INCH. December 26. January 7. July Qfnr 12. January 28. Mean. Mag. A Mag. Mag. A Mag. Mag. d Mag Mag. A Mag Mag. H. Mag. P. A Mag. b.... 10.17 +0.05 10.08 c... 10.84 +0.09 10.75 d... 11.59 0.14 11.77 0.04 10.06 o.oo 10.64 + 0.04 11.90 O.O2 O.II + 0.17 10.15 10.78 ii .67 + 0.03 + 0.03 0.06 IO. 12 10.75 ii 73 9-85 10.48 ii .46 0.04 0.06 O. IO 10.87 10.60 0.07 /. . . 12. II O.O2 12.21 a... 13.60 +0.07 13.18 + 0.08 12.0 -0-35 13-9 12.8 S I I 0.05 + 0.39 -0-34 12. 12 13-39 12.15 O.OI 0.14 -0-34 12.13 13.53 12. 5 11.86 13.26 12. 2 0.04 0.24 0.14 182 RESEARCHES IN STELLAR PHOTOMETRY. TABLE 114. 8629 Y CASSIOPEIA. VISUAL OBSERVATIONS OP THE VARIABLE. No. Date. Ocular. 3 & Comparisons. Reduction, Steps. Means. Seeing. t. A Mag. Month and Day. Hour C.S.T. Julian Day G. M. T. Steps. Mag. i 2 3 4 5 6 7 8 9 IO ii 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1898 Feb. 15 23 24 Mar. 4 5 "3 16 23 28 Apr. 6 20 25 June 21 July 6 Aug. i 9 18 Sept. 7 Oct. 5 Nov. 5 19 30 Dec. 7 IO 26 3 1899 Jan. 6 H 27 Feb. 7 28 Mar. 7 13 28 Apr. 4 16 May i 21 June 7 15 July 5 ii Aug. 6 26 Sept. 13 26 Oct. 2 Nov. 6 20 27 Dec. 6 8 7 7 7 7 7 7 7 7 7 8 9 13 1 1 ii 9 IO 9 8 7 7 7 7 6 8 7 7 7 6 7 8 7 8 8 8 16 16 14 IO IO IO IO 10 IO 9 9 8 7 8 7 7 7 7 2410000+ 4336.58 4344-54 4345 54 4353-54 { 4354-54 4362 . 54 4365.54 { 4372 54 4377-54 | 4386.54 -j 4400.58 4405 . 60 4462 . 79 4477-71 -j 4503-7I 4511-63 4520.67 4540.63 4568.58 4599-54 46I3-54 4624.52 4 6 3i.54 4634-50 4650.58 4654-54 4661 .52 4669 . 54 4682.50 4693-54 4714.58 4721-54 4727-58 4749-58 4761.92 4776.92 4796.83 4804.67 4813-67 4821.65 4841.65 4847.65 4853-65 4873-63 4893 60 4911.56 4924-54 4930.58 4965 - 54 4979-54 4986.54 4995 54 150 150 150 40 80 150 40 150 150 40 150 40 150 150 150 80 275 175 275 150 150 150 200 150 200 200 200 200 200 200 150 200 150 150 150 40 40 40 40 150 150 150 150 150 150 'So 150 150 150 200 200 150 200 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 12 12 8 12 12 12 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 21.6 21.6 25.0 24-3 25-6 23-9 25-5 24.9 24.4 21.6 20.9 18.4 ii. 5 6.1. 5-2 3-7 36 1.6 < o < i < o < o 31 2. I 10.07 10.07 9-50 9.61 9-43 9.70 9-43 9-53 9.60 10.07 10. 19 10.61 11.80 12.79 12-95 13-14 13-15 13.60 <'3-9 22. 0, 21.2 ) 22.O, 21.7, 21. 1 . . .) 22.5, 2O-7, 19.6 I7.I, 19.8 13.6, 10.3, 10.8 7-170 . . ) V2l, 1/36, mm oiv, ii2m, i/3/ 1/46, mil/, 1/2,1 i>3/, vm, v^b 041;, mp, V2m i/o- im, ii2b TO3i/, /i 211, 1/1-26 TO2-3D, 12-1,11, lib 62-31;, T3-4C C3i/, do-m, i/3/ f211, 11, HIS, 1/32 5-8, 5-9, 7-0, 3-0.-) /6i/ g4i> 1/12, limit z 3-9, 3-5 3.9, 3.0, 4.1 18 20 10 11 not seen, limit z 11 not seen, limit 2 and a. . v not seen limit z v glimpsed, ma. 39 4-4 5-5 6.7 12.4 19.2 22. 27.6 26.6 26.5 26.4 19.2 16.2 15.4 12.5 8.8 8.5 6.8 4-9 3-4 4-4 < 4 < 2 < 2 < 6 < 2 < 4 13.16 '3-19 13.08 12.90 12.70 ii .67 10.47 IO.OO 9.09 9.26 9.27 9.29 10.47 10.97 II. 12 11.63 12.31 12-35 12.68 13-02 13.28 13.10 3m 4-0, 4-9 6.1, 6.4, 4.0 8.9, 4.3, 7.0 12.8, ii. 8, 11.3, 14.0 18.6, 17.3, 21.8 21. i, 23.0 28.5, 26.7, 27.2 25.7, 26.2, 28.0. . . . 25.8, 26.2, 28.0, 26.2 (27.0, 25.2, 27.2. . ) j 25 9 26 8 . ) 112m, 1/2/, 110, 112p, 051; .... /5i/, m6v, mb I6v, 63i/, i/i 2C 631;, co ID, i/4(f C3 41), i/i 2d dm, vj, 114$ d2 311, i/i/ 18.2, 19.0, 20.6. . . . 17.2, 16.6, 14.8. . . . 16.6, 15.8, 14.8 12.8, 12.3 9.8, 7.8, 9.9 8.3,8.8 v glimp c ed, ei 211 11 not seen limit a v not seen limit a .... v not seen, limit 2 4-5a CI2V, Tl^d vS ioe, /2 36 4.1, 2.0, 3.0, 1-9 2.4, 7.0, 6.6 4-8, 14.8 I 14.. Q . i 62-3?, V2-3C ayv, TIC, "vyi photometer 17.1, 18.1 15.0, 16.3, 13.8 ^2-36, 64-50, d2V, V2f d2V, T12 j 8.8, 9.8 8.8, 9.8 9-3 9-3 6.8 i-5 <6 <8 7.8 J2V, V2 S 8 7 q g4T, VIZ 2.O, I.O v not held, limit g v not seen, limit / vj good '74 -0.74 photograph 641', v ic photometer 15-6, 17.3 16.4 fair good fair good good fair good good fine 48 77 134 12 69 3" 336 340 374 4-0.74 + 0.25 -0.54 -0.97 + 0.49 -0.83 0.52 -i-45 -0.34 photometer 140, 17-86 641), C2v, vqd dyv, vie 31.2, 27.1 15.6, 14.3, 14.8 7870 29.8 14.9 7-8 7-4 fiv, V2e 6879 photometer photometer photographs vl, vm photometer 23.2, 25.0 24.1 9.66 IO.O2 IO.2I II. 12 "73 12. 2O 13-0 13-5 I4.I I3-89 I3-36 I3-52 13.28 >3-7 J3-07 v, 1/450 2.3, 6.6 v not seen, limit e vi /. /8 =8 m ot 10 - o o 03 ki