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EPIGRAPHIA INDICA.
[VOL. XIV.
The annual shift is a forward one, and, as the longitude of perigee increases, so the mean anomaly decreases. Hence for years earlier than K. Y. 4500, A.D. 1400, the amounts entered in col. 3 must be added to, and for years later deducted from, the sun's mean anomaly as found by calculation.
Change of position of sun's apsidal points according to the Present Sürya-Siddhānta.
No. of
Change
Years.
No. of Years
No. of
Your of
Change.
Years.
Change.
23
10,000ths of circle 0.0009
10,000ths of circle
10,000ths of circle
0.1161
0.0090
0-0896
1.161 2-322
0 11.61 0 23-22
0-2322
0.0179
200
0-1792
0.0018 00027
0-3483
3.483
0-0269
300
0 34.83
0-4644
0.0036
4.644
0.0358
400
0:5805
0.0045
5.805
0.0448
500
0-2687 0-3583 0-4479 0-5375 0:6271
6966
0.0537
600
8.127
0-6966 0-8127 0-9288 1.0449
0.0054 0-0063 0.0072 0.0081
0 46-44 0 58-05 1 9-66 1 21:27 1 32.88 | 44:49 1 56-1
0-0627 0.0717
9.288
0-7167
10-449
0-0806
900
0-8062
1000
0-8958
255. Dr. Schram's valuation of the equation of the centre according to the Arya-Siddhānta was proved to be so accurate that we need not have any hesitation in accepting his similar valuation of the same by the Sürya-Siddhānta. He fixes this for K. Y. 4000 as 2° 8' 18"-472169, and for K. Y. 5000 as 2° 8' 19"1842321. The equations therefore, in K. Y. 4500, the base-year of my Table, was 2° 8' 18*828200553, or in ten-thousandths of the circle 59-404538584.
The sun's mean anomaly at the moment of trae Mesha-samkranti is 360° less the combined longitude of perigoe and equation of centre, or 360° - (257° 16' 30"-45 + 2° 8' 18":829200553). The mean anomaly was therefore 100° 35' 10"-721799447, or 100° 35'178696657, or in ten. thousandths of the circle 2794-064211415. This is the valuation which I bave adopted for the starting point for cols. 2, 3, af Table XLVIIIB.
The san's mean longitude at the same moment, true Mésha-samkranti, is his mean anomaly plas the longitude of perigee, i.e. 100° 35' 10".721799447 + 257° 16' 30"-45. It was, therefore, 357° 51' 41":171799447, or in ten-thousandths of the circle 9940:595461415. Table XLVIIIB, cols. 4, 5, start from this point,