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234
THE INDIAN ANTIQUARY
[SEPTEMBER, 1896.
Accordingly, Jupiter's mean place on the 18th October A. D. 475 was 6. 15° 5' ; i. e., Japiter's mean position was in the 16th degree of the 7th sign (Tula), or his mean longitude was 195° 5.
3.- Since Japiter's true place is found from his mean place, the place of his apsis, and the sun's mean place, take the place of Jupiter's apsis for the given year A.D. from the accompanying Table I.
The place of Jupiter's apsis for A. D. 475 is 56 21° 10'.
4. - To obtain the sun's moan place, find first the number of days of the elapsed years of the Kaliyuga, by Table V. Col. A. in Vol. XVIII. p. 207, and increase it by 2.1476. Subtract the total from the day of the Julian period. Divide the remainder by 36:4382, to obtain signs; the remainder by 1.0146, to obtain degrees; and the remainder by 0.0169, to obtain minutes.
The 18th October A. D. 475 falls in Kaliyaga 3576 expired, and the number of days of 3576 years, calculated by the Table, and increased by 2.1476, is 1894 631 0631. We therefore bare :
Day of Jul. per. 1894 842.0000
- 1894 631-0631 30-4382
210.9369 = 6 signs;
182 6292 1.0146 ; 28.3077 = 27°;
20 292 8 0157
7 1022 0.0169 :
.9135 = 54. Accordingly, the suu's mean place on the 18th October A. D. 475 was 6. 27° 54'. Now, having found Jupiter's mean place, the place of his apsis, and the sun's mean place,
5.- From the sun's mean place subtract that of Jupiter. With the remainder ng argament take out the equation frem Japiter's Annual Table (herewith published), and apply ono half of it to Jupiter's mean place, to get it once corrected. 6° 27° 54
6s 15° 5 - 6 15 5 .+ 13 0 12 49;
6 16 8; equation + 2° 5';
Jupiter's place once corrected. half of it + 1° 3. 6.- From the place of Jupiter's apsis subtract his place once corrected. With the remainder as argument take out the equation from Japiter's Anomalistic Table (herewith published), and apply one half of it to Jupiter's place once corrected, to get it twice corrected. 5° 21° 16'
61698 - 6 168
- 1 5 11 5 8; 6 15 3; equation -20 10; Jupiter's place twice corrected. half of it -1°