________________
JULY, 1889.)
THE SIXTY-YEAR CYCLE OF JUPITER.
199
before the commencement of Saka 1311, expired, (or the end of Saka 1311, current). This fraction may be reduced to days by my Table IV. (which is based on Warren's Tables XIV. and XVI.), as follows:
numerator 1000 = 194.80463 days.
200 = 38.96093 , 50 = 9.74023 ,
8 = 1.55844
1369 = 245.06423 days. And deducting this amount from the commencement of the expired Saka year (which in the present instance has been found already under 1), we find exactly when the year Bhava ended, or, which is the same, when the following year Yuvan began :
Saka 1311 expired 2228 475-3281
. - 245.0642
remainder 2228 230-2639, i.e. 24th July, A.D. 1388, 6 h. 20 m.,-end of Bhava or commencement of Yuvan. • Or, to give another example (Kala-Sankalita, p. 203), for the commencement of Saka 1 current, = Baka 0 expired, we find -
0x + 4201 = 2 and + '= 0 ; i.e. Jupiter's year expired 2 = Vibhava. And numerator 500 = 97-40231 days;
40 = 7.79218 ,
1 = 0.19480 ,
M1 = 105-38929 days; i.e., at the commencement of the Saka year 1 current, there had elapsed of the current Jupiter's year 3 = Sukla, 105 days 9 h. 20-6 m., which agrees with Warren's result to the very second ; and the year Sukla beganepoch of Saka era 1749 621.1979
- 105.3893
remainder 1749 515-8086, i.e. 19 h. 24:4 m. after mean sunrise (at Ujjain) of 29th November, A.D. 77.
3. The working of the Jyotistattva rule shows that, according to the rule, the length of the ordinary Jupiter's year is 1858 of a solar year, i.e. 360-9730 (or, more accurately, 360-972978706) days; and, having found the end of one Jupiter's year, we therefore find the beginning of the same year, or the end of the following year, by simply either deducting that amount from, or adding it to, the number of days previously found (without starting afresh from the preceding or following Saka year). For instance, - end of Bhůva (under 2) 2228 230-2639
- 360-9730 remainder 2227 869-2909,
• In a note on pp. 203 and 204 Warren has shown by an elaborate caloulation that, by the Surya-Siddhanta rule, there had elapsed of the year Bukla, at the end of Kaliyuga 3179 or the commencement of Baks 1 current
70 days 8 d. 56 p. 30-9865 c. = 70 days 3 h. 84 m. 368. = 70-1490 days. As the year Bakla (the 37th year of the cycle, when counted from Vijaya) in Kaliyuga 3179_was the 8917th year, and the preceding year Vibhava the 3216th year of Jupiter, from the commencement of the Kaliyuga, we find
end of Kaliyuga 8179 = 1749 621.1893 less end of Vibhava = 1749 553-1878 remainder
68-0015; 40. the end of Vibhava or commencement of Bukla preceded the end of Kaliyuga 3179 really by only 68-0015 days (or by 2-1475 days less than was found by Warren).
