Page:Sewell Indian chronography.pdf/110

mean sunrise the tithi-index was 4835. The tithi therefore expired, and the moment of full-moon occurred (Table VIII.) at (5000 − 4835) 165 after sunrise, which (Table X.) = (7 h. 5 m. + 4h. 36m.) 11 h. 41 m. We work for this interval, the details for which are to be added to those for sunrise:—

	a.	b.	c.
At mean sunrise November 13th, A.D. 300	4639	969	939
11 h. (Table V.)	155	17	1
41 m. (Table V.)	10	1	0
	4804	987	940
Equation ${\displaystyle b}$	128
Equation ${\displaystyle c}$	15
${\displaystyle t=}$	5015

(${\displaystyle t=}$) 5015 shows that the moment of full-moon was (${\displaystyle t=}$) 15 earlier, or (Table X.) 1 h. 4 m. earlier than the hour already obtained, viz., 11 h. 41 m. after sunrise. We consequently, desiring absolute accuracy, test the result again for an interval from sunrise of (11 h. 41 m. − 1 h. 4 m.) = 10 h. 37 m.

	a.	b.	c.
At mean sunrise November 13th, A.D. 300	4639	969	939
10 h. (Table V.)	141	15	1
37 m. (Table V.)	9	1	0
	4789	985	940
Equation ${\displaystyle b}$	127
Equation ${\displaystyle c}$	83
${\displaystyle t=}$	4999

This is correct all but (${\displaystyle t=1}$, or) 4 minutes, and therefore we have for final result that the full-moon moment of Mārgaśīrsha in the year corresponding to A.D. 300–1 (K.Y. 3401 expired) occurred at from 10 h. 37 m. to 10 h. 41 m. after mean sunrise on Wednesday, November 13th, A.D. 300.

[Turning to my "Eclipses of the Moon in India" (Table E, p. i, cols. 1, 2, 3), it will be seen that according to advanced modern science (von Oppolzer's Canon der Finsternisse, adapted to Laṅkā mean time for India) there was a total eclipse of the moon on that day, the moment of full-moon being stated as 10 h. 34 m. mean time on the meridian of Laṅkā.]

Example 22a.—(The example given by Prof. Jacobi in "Ind. Ant." XVII., p. 155.) Was there a lunar eclipse in Śrāvaṇa, A.D. 1144?

I work this by my method. We want the moment of full-moon in lunar Śrāvaṇa. Turning to Table I. we find that the Hindi year, = K.Y. 4245 expired, was a common one, and we take the details for Chaitra śuk. 1st, mean sunrise. (Cols. 19–25.) We find the interval from that moment to mean sunrise of the full-moon day of Śrāvaṇa, i.e., the 15th śukla tithi, as near as we can guess it; thus, to end of Āshāḍha 120 tithis (Table III., col. 3) + 14 tithis in Śrāvaṇa; total 134 tithis = 132 days.

	d.	w.	a.	b.	c.
A.D. 1144 Chait. śuk. 1 (Table I.)	7 March (67)	3	47	501	233
Interval 132 days (Table IV.)	(132)	6	4699	790	361
	(199)	2	4746	291	594
Equation ${\displaystyle b}$ (Table VI.)			276
Equation ${\displaystyle c}$ (Table VII.)			94
${\displaystyle t=}$			5116