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THE CYCLE OF JUPITER.—THE BRĀHMA SIDDHĀNTA AND SIDDHĀNTA ŚIRŌMAṆI.

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First Ārya agreed with the two latter authorities as to the moments of either true or mean Mēsha saṁkrānti. On the contrary they diverged every year by 21 s., and at K.Y. 5000 expired, in A.D. 1899, the difference amounted to 1 d. 5 h. 10 m. Hence the Table.

TABLE.
Difference between the moments of mean Mēsha saṁkrānti as calculated by (1) *The First Ārya Siddhānta* (2) *The Brāhma Siddhānta* and *Siddhānta Śirōmaṇi*, all having been together at K.Y. 0. in 3102 B.C.

Having found from Table 1, &c, the moment of mean Mēsha saṁkrānti by the First Ārya Siddhānta, deduct the time-difference given in the Table in order to obtain the same by the Brāhma Siddhānta and Siddhānta Śirōmaṇi..
Diff. in years.	Time difference.			Diff. in years.	Time difference.			Diff. in years.	Time difference.			Diff. in years.	Time difference.
	h.	m.	s.		h.	m.	s.		h.	m.	s.		h.	m.	s.
1	—	—	21	10	—	3	30	100	—	35	—	1000	5	50	—
2	—	—	42	20	—	7	—	200	1	10	—	2000	11	40	—
3	—	1	3	30	—	10	30	300	1	45	—	3000	17	30	—
4	—	1	24	40	—	14	—	400	2	20	—	4000	23	20	—
5	—	1	45	50	—	17	30	500	2	55	—	5000	29	10	—
6	—	2	6	60	—	21	—	600	3	30	—
7	—	2	27	70	—	24	30	700	4	5	—
8	—	2	48	80	—	28	—	800	4	40	—
9	—	3	9	90	—	31	30	900	5	15	—

Rule.—Take the moment of true Mēsha saṁkrānti by the Ārya Siddhānta from Table I. of the Indian Calendar; add śōdhya, or 2 d. 3 h. 32 m. 30 s. This gives the moment of mean Mēsha saṁkrānti by that authority. Deduct from this last, for every year of the Kaliyuga expired at the given date, the amount obtained from the above Table. This gives the moment of mean Mēsha saṁkrānti by the Brāhma Siddhānta and Siddhānta Śirōmaṇi. From this deduct the śōdhya by those authorities, or, as fixed by Dr. Schram, 2 d. 4 h. 7 m. ⁠38+1/2⁠ s. The result is the moment of true Mēsha saṁkrānti by these two authorities.

With this knowledge, used as before, the moments of beginning and ending of the Jovian saṁvatsara according to those authorities is found by using Tables XXXI. and XXXI.A.

Example.—We desire to fix the beginning and ending times of the Jovian saṁvatsara which was current at true Mēsha saṁkrānti of K.Y. 5001 expired, or A.D. 1900–1901, by the Brāhma Siddhānta and Siddhānta Śirōmaṇi.

The samvatsara began in K.Y. 5000 expired. First find the moment of true Mēsha saṁkrānti in that year by those authorities.