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No. 5.]
CYCLE OF JUPITER AND NAMES OF SAMVATSARAS.
69
Time-corrections. 227. Calculation by Tables XXXI C and D, or E and D will.enable us to ascertain the moment of beginning and ending of any samvatsara by the Second Arya Siddhanta with reference to any Mēsha samkrānti moment, true or mean; but as in the case of the Original Sürya Siddhanta, Brāhma Siddhānta and Siddhanta Siromani we must, if we use the Indian Calendar Table I, for giving us the time of occurrence of Mēsha samkrānti each year (cols. 13 to 17 for the First Arya Siddhanta) apply a correction in order to get at the exact time of Měsha samkranti by the Second Arya Siddhānta, because the length of the year fixed by the First Arya differed slightly from that fixed by the Second Arya Siddhanta. The two started from the same point, tis. : the sunrise epoch of the Kaliyuga, or mean sunrise on Feb. 18 B.C. 3102, but according to the Second Arya the year is 0.84s. longer than the First Arya year (Ind. Ohronography, p. 158, col. 3). Hence the following Table must be used :
TABLE A A. DIFFERENCE BETWEEN THE MOMENTS OF MEAN MESHA BAŃKRĀNTI AS CALCULATED BY (1) THE
FIRST ĀRYA SIDDHANTA, (2) THE SECOND ÅBYA SIDDHẦNTA, THE TWO HAVING BEEN TOGETHER IN K. Y. 0, B.C. 3102.
[Haring found from Table I, cols. 13 to 17, etc. (by applying the fixed sodhya to the apparent Mēsha samkranti) the moment of mean Mēsha sankranti by the First Arya Siddhanta, add the time difference given in this Table for every expired year of the K. Y. in order to obtain the same by the Second Arya Siddhānta.]
Difference in years.
Time difference.
Difference in years.
Time difference.
Differ ence in
Time difference.
Difference in years.
Time difference.
years.
M.
H.
H.
M.
S.
24
14
S. 0.84 1.68 2.52 3.36
100 200 300 400
- 42
IIIIIII!!
M. S. - 840 - 16-80 - 25.20 - 33.60 - 42.0 - 5040 - 58.80 17.20
15-60
2000 2000 3000 5000
OVORA
4000
4.20
HIIIIIIIII
500
1 100
6.72 7.56
600 700 800 900
-
N.B. To obtain exact time of apparent Misha sankranti by the Firat Arya Siddhanta ada 30s. to the time given in Table I, col. 17 of the Indian Calendar in years 4.D. sohore number is odd, but not in thon ohore wumber is even. See Indian Chronography " Hints for workers," No. 20, p.79.
228. Again, to fix the exact moment of apparent Mēsha samkrānti by the Second Arya Siddhanta we have to note that according to it the sodhya, or time-difference between mean and apparent Měsha samkrāntis varies slightly year by year, whereas the sodhya hy the First Arya Siddhanta is a constant; so that we must, for absolute accuracy in Second Arya Siddhānta time, take note of this varying difference.