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EPIGRAPHIA INDICA.
[VOL. XVII.
(ix) The position of the sun's apsis (perigee) at K.Y. 0, the epoch of the Kaliyuga, was 257' 45' 36",1 and his mean anomaly was 102° 14' 24", or, in 10,000ths of the circle, 2840.
126
(1) The position of the moon's apsis (perigee) at the same moment was 305° 29′ 46"; and her mean anom. was 54° 30' 14", or, in 1,000ths of circle, 151-399691358.
(xi) The sun's mean velocity (he is treated as a planet) and the length of the mean solar year being the same both by the Brahma-Siddhanta and the Siddhanta-Siromani, his mean long. at any moment must be the same by both, and so also the length of the mean solar month. But the two authorities are not in exact accord as to his true long. and the length of the true solar month.
Shift of sun's apsis. The sodhya. Length of true solar year.
314. The length of the mean solar year being the same, viz. 365d 6h 12m 9, by both the Brahma-Siddhanta and the Siddhanta-Siromani, the first portion of § 273 above (Vol. XV) and accompanying Table A apply as well to the former as to the latter. But for the latter portion that section and its Table B, the following must be substituted when dealing with the Brahma-Siddhanta, the two authorities not being in accord as concerns the matter in question.
315. As stated above, the sun's perigee-point according to the Brahma-Siddhanta advances annually 0144 along the ecliptic, and in consequence of this shift the true sun's velocity at long. 0" is a little greater every year than the year before, i.e. the true sun reaches long. 0°, or the moment of true Mesha-samkranti occurs, a little earlier each year. In every year there is a slight increase in the distance and time-difference (our fodhya) between the mean and true suns at that point of the orbit. Dr. Schram has carefully calculated the value of this sodhya at the moment of true Mesha-sam kranti at the beginning of several millenniums, and his results for the period embraced in my general working Table LXXXII are stated in the following Table B.
TABLE B. VALUE OF BODHYA BY THE BRAHMA-SIDDHANTA.
K.Y. year expired.
3700
8800
8900
4000
4100
4200
4800
A.D.
EXACT VALUE OF SODHYA AT BEGINNING OF CENTURIES.
days and decimals.
599-600
2.1729145
699-700
2-1729400
799-800
2-1729655
899-900 2-1729910
999-1000 2-1730165
1099-1100
2-1730420 2-1730675
1199-1200
d. h. m.
8.
2 4 8 59-8128
249
2.0160 4.2192
2 4 9
2 4 9
2 4 9
8-6256 10-8288
2 49
2 49 13-0320
6.4224
One result of this shift of apsis is that, by the Brahma-Siddhanta, the true sun reaches the 0° point of long. 0022032 earlier every year than the year before, and in consequence the length of the true solar year, or the time needed for the true sun to travel from true Mesha-samkrānti
Jacobi, above, Vol. I, p. 442, § 83, where he gives the place of the apsis (apogee) as 77° 45' 36". See also E. Burgess's" Surya-Biddhanta."
Moon's apogee given by Jacobi as 125° 29′ 46",
