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206
EPIGRAPHIA INDICA.
(VOL. XVII.
(ü) The advance of a (distance of mean moon from mean sun)-which finally fixes the index of the tithi (5th of a mean lunation) in measurement by 10,000ths of circle-in every civil day of 24 hours and in hours, minutes and seconds, has already been given for the Siddhanta-Siromani in Tables LIV, A and B above, Vol. XV). These Tables are applicable to the Brahma-Siddhānta.
(ii) For the sun's mean motion per day, hour, minute, etc., see Tables XLIII and XLIV (above Vol. XIV).
(iv) The advance of a in one mean solar month is, in 10,000ths of circle, 307-349156595.
(v) Each solar month consists of 304 10h 31m (75. Table XCI below shews the interval of days, hours, etc., between the moment of mean Měsha-samkrānti, when the mean sun is at celestial long. 0° (Table xc, cols. 13-17), and the moment of each subsequent sankranti when the mean sun enters each of the twelve signs; and so enables the day and time when each mean solar month begins to be ascertained. The same Table gives the advance of a from its value at the moment of mean Mesha-sankranti to the same at each subsequent samkrānti.
(vi) The interval between the moments of true and mean Mosha-samkrānti, i.e. between the moments of the astronomical beginning respectively of the true and mean solar year, which interval we call the sodhya, varies slightly year by year in consequence of the postulated shift of the sun's apsis (§ 313, VII, above). The exact intervals, century by century from K.Y. 3700 to 4300, were given above in 9 315. The Table is here repeated and extended so as to embrace the whole period of the general Table XC below. The quantities were computed by Dr. Robert Schram.
TABLE B.
(above, p. 126.) VALUE OF sodhya BY THE Brahma-Siddhānta.
SODHYA AT BEGINNING OY CENTURIES.
Kaliyoga.
A.D.
D.
H.
.
S.
Days and decimals.
599-600
2
3700 3800
4 4
8 9
69-8128 20160 4.2192
2:1729145 -2.1729400
699-700
3900
799-800
2-1729655
4000
2
4
9
6.4224
21729910
4100
2.1730165
4200
2-1730420
899-900 999-1000 1099-1100 1199-1200 1299-1300 1399-1400
4300
2:1730675
2 2 2
400
8.6256 10-8288 13-0320 15-2352 17.4384
4 4 4
9 9 9
2.1730930
4500
2-1731185
