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JUNE, 1888.]
JACOBI'S TABLES FOF HINDU DATES.
149
The difference between 4000 and 3997 being as the remainder, 8609. Therefore, by adding 3, shows (by Table 11) that the end of the 8609 to the a. of the beginning of A.D. 484, tithi occurred 13 minutes after 20 hours, 11 we get 4000; and all days, whose a. is 8609 minutes; or at 20 hours, 24 minutes, after or the next lower figure, are approximate dates sunrise at Lanka. Therefore, as the 12th for each su di 12, the whole year round. tithi ended on the 21st June, A.D. 484, that day | In the same way, by subtracting the a. for was su di 12.
the beginning of A.D. 484, vis. 5391, from If we want to know the name of the month 10000, i.e. the equivalent of the new-moon, the of which the 21st Jane, A.D. 484, was the su di remainder, in our example 4609, indicates 12, we count 12 days back from the 21st June; approximately all the new-moon days of the day obtained, the 10th June, was the A.D. 484. beginning of the month; and, accordingly, the Now, with 4609, we turn to Table 7. Finding preceding day, the 9th June, was the day of Ashidha at the foot of May, we select the days new-moon, always supposing that there was in May and Jane, whose a. is nearest to 4609. no kshaya or adhika titki between new-moon A.D. 484 being a leap-year, we find the 11th and su di 12. Now, turning to Table 4, we May and 10th June. We must now ascertain find that the 9th June, A.D. 484, falls in the which of these two dates determines the middle of the time assigned for the solar beginning of the lunar Åshậdha Sukla paksha. Åshadba (20th May to 20th Jane). Therefore, as This can be done with the help of Tables 1 to 4, the new-moon of the same month to which the as explained above; or, without using those éu di 12 under consideration belonged, fell Tables, the beginning and end of the solar months within the solar Ashadha, we conclude that the can be found in the following way :- At the 21st June, A.D. 484, was su di 12 of the lunar foot of the Table we find that, on Ist solar month Ashâdha.
Ashadha, c. is about (i.e. one smaller or
larger than) 450. The c. of the beginning On the Verification of Luni-Solar Dates. of A.D. 484 is 69. Adding 69 to the c. of Having shown how the Tables are worked, I
the 11th May, 359 + 69 = 428. This (428) shall now explain how, by their help, the most
being lower than the c. for 1st solar Ashidha, usual problem, that of converting a luni-solar
we conclude that the new-moon, occurring on dato into one of our Calendar, can be solved.'
the 11th May, fell in the solar Jyaishtha, and Let us suppose we had to verify the date
belonged, therefore, to the lunar month JyaishA.D. 484, Ashadha é di 12, Thursday. We
tha. Trying the 10th June, we find its e. to first compute the a. b. c. for the beginning of
amount to 444 +69=513. As this is between A.D. 484, viz. :
the c. for 1st Ashâdha, viz. 450, and the c. for
1st Sråvaņa, viz. 536, we conclude that the newa. b. c. 1884 ... (3) 765 746 2 Table 5.
moon occurring on the 10th June, or thereabouts, 14 cent. (5) 4626 734 67 Table 6.
belongs to the lunar month Ashâdha. Hence
Aghadha su di 12 must be later, by about 12 A.D. 484 (8) 5391 480 69
days, than the 10th June.
We have seen that, at the end of the 12th On the day cu di 12, A. must be near, tithi, a. is equal to, or something less than, but something less than, 4000 (such being the 8609. The 22nd June having for a., 8583, equivalent for the end of the 12th tithi). which is nearest to 8609, the end of the 22nd Subtracting 5391 from 4000, or, as this would tithi must have occurred either before or after leave a negative quantity, from 14000, we have, the beginning of the 22nd June. To find the end
• Mr. Sh. B. Dikahit (ante, Vol. XVI. p. 120) ha. cal. culated the same moment according to the modern Tables of Chhatre, the Súrya-Siddhanta, and the Siddhinti. siromani. He found. ---Chhatre, 49 ghatis 12 palas; Sürya-8.51 gh. 11 p., Siddh-Sir. 53 gh. 21 p. Converting 20 hours, 24 minutes, into ghatikis and palas we get as the equivalent amount 51 gh. Our result, therefore, agrees nearly with that calculated by Mr. Dikshit on the basis of the Sarya-Siddh inta.
. As, by our Tables, only those Hindu dates can be
converted into English ones, of which the concurrent English year is knoren, we are here concerned with the verification of the day only. However, in practice, the year will often be doubtful. In such cases, all years which come in question must be tried till that one is found in which the day fits in all particulars. Instead of calculating the date for all possible years, it will savo time if we try the years according to the approximative method (Perpetual Lunar Calendar) which will be er. plained below.
