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EPIGRAPHIA INDICA.
[Vol. XIV.
calculating the intercalated and suppressed lanar months by the Siddhānta-Siromani. In ordinary cases it will always suffice to work with merely the whole numbers.
Elements of the Siddhanta-Siromani. 258. The Siddhanta-Siromani by Bhiskarächărys dates, it is believed, from about A.D. 1150, thongh Dr. Bhau Dāji (J. R. A. S. n. s. I. 392) placed it in about 1105. It was used in some tracts and for some periods-we have yet to learn which--for the preparation of local almanacks. My future Tables will embrace the period A.D. 1100 to 1750. The earlier dato will suffice for safety, and it is not necessary to work for years later than 1750.
According to this authority the length of the year from mean Mesha-samkrānti to mean Mēsha-samkrānti is 365d 6h 12m 9 or 365d-258437500.
Its sine-values of angles are the same as in the Arya- and Sarya-Siddhantas, with radius taken as equal to 3438'.
For the sun's mean motion in daya, hours, etc., see Table XLIII (above, Vol. XIV).
The twenty-four base equations are given in col. 9 of Table XLVII of the same article with the differences per minute of anomaly angle (col. 10), and in fuller detail in Table XLVII, A, cols. 9-10.
The epicycle of the sun not being considered as contracted at any part of the orbit, as it is in the Sürya-Siddhanta, and the circumference of the epicycle being given as 13° 40' or 820', the equation (a being the sun's mean anomaly, or the angalar distance of the mean sun from the
. 13° 40'. perigee-point of his orbit) is 200 sin, a, or 600, sin. a, or finally 08 sin, a.
This Siddhanta postulates a constant forward shift in the line of apsides of the sun's orbit. This shift is more rapid than the Sürya-Siddhānta's shift and amounts to 090174 or 1".044 per annum, and to 11' 18:6 or 11'31 in the 650 years succeeding A.D. 1100.
According to the Siddhanta-Siromani the Kaliyuga began, or in other words K. Y.O began, with a conjunction at celestial longitude 0° or 360° of mean sun, mean moon and other planets at the moment of mean suprise or 6 A.X. on Friday 18th February B.C. 3102 or 18th February 0h 00 Lanka time. This was the moment of mean Mēsha-samkrānti in that year. True Mēsha-samkranti, the moment when the true or apparent sun touched long. Oo, occarred by the same authority on Tuesday 15th Feb. in that year at 19h 52m 21. after mean sunrise.
The interval between these two occurrences, which we call the fodhya, and which is the time occupied by tbó sun in travelling over the arc of the equation-angle, was 2171971 or 24 4h 7m 38. according to Dr. Schram's calculation (see " Indian Chronography," Table, p. 16).
259. In the matter of the sun's equation and true longitude it should be noted that every entry in cols. 6 to 9 of Table XLVIIIC has been separately calculated from the valae of his mean anomaly at each twenty-four bour period measured from the moment of true MēshaBankranti, by use of the Siddhanta-Siromani equation Table.
The shift according to the Arya-Siddhanta is wil.
Brahma-Siddhanta 04:144 per ann. Surya-Siddhanta 0.1161 Siddhanta-Siromani 11.044
end Arya-Siddhanta 0% 1888 (Jacobi, Epig. Ind. I. 441.) · For explanation of technical matters see above, Vol. XIV, 95 249-256.
