________________
JULY, 1889.]
THE SIXTY-YEAR CYCLE OF JUPITER.
year Bhâva, which precedes 'Saka 1311 expired, being known, we find the end and value of the Jupiter's year immediately preceding the present year, Saka 1811 expired, thus :('Saka 1311), end of Bhava... 2228 230-2639 (Saka 1811-1311) 500 ordinary Jupiter's years.. 180 486-4888 6 solar years, for six expunctions between 'Saka 1311 and 1811
2 191-5521 sum 2410 908-3048;
i.e. 27th September, A.D. 1888, new style, 7 h. 18.9 m., -end of the Jupiter's year which preceded the commencement of Saka 1811 expired. And since Bhâva was the 8th year of the cycle, the year, the end of which we have thus ascertained, is (8+500 + 6 514 = 8-%%) Sarvarin, the 34th year of the cycle.
60
C. The Brihat-Samhita rule.
-
The Brihat-Samhita rule (Kern's translation, Jour. As. Soc., N. S., Vol. V. p. 48, agrees with the Jyôtistattva rule, except that, - instead of multiplying by 22, adding 4291, and dividing by 1875, - we are directed to multiply by 44, to add 8589, and to divide by 3750. Applying this rule to the 'Saka year 1311 expired, we find :1311+17 60
and
1311x44+8589 3750
The fraction being equal to
2523 3750'
1261 1875
53
97
is converted into days by Table IV. as follows:numerator 1000 = 194-80463 days;
38-96093
200 60=
11-68828
1= 0.19480 0.09740
1=
19
deduct for 1008 1875
19
2523 8750'
=17 1261 1875'
2523 3750
8 60
39
1008 196-36307 days.
1875
Beginning of Saka 1811 expired: 365-25868055 x 1811
661483-47047605 +1749621 1979 2411104-66837 -196-36307
201
22
=245 74604 days.
Deducting this amount from the commencement of 'Saka 1311 expired =2228 475-3281
245.7460 2228 229 5821,
we obtain
i.e. 23rd July, A.D. 1388, 13 h. 58-2 m., for the end of Bhâva or commencement of Yuvan, according to the Brihat-Samhitâ rule.
In other words, the Jupiter's year, by this rule, ends earlier than it does by the Jyotistattva
1008 28 and 1875
1811 +23 60
Calculating in the ordinary way, we have1811 x 22+ 4291 30 1875 Year last expired: 34-Sarvarin, the end of which precedes the beginning of Saka 1811 expired by numerator 1000 = 194-80468 8= 1.55844
35
34 60°
remainder 2410908-3053; which differs from the above result by 42 seconds.
I may state that handy Tables for the Jupiter-years according to the Jyôtistattva, based on the above data, and similar Tables for the Sarya-Siddhanta, will be published in a following number of this Journal,