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114
EPIGRAPHIA INDICA.
[VOL. XV.
The sun's anom. (c) is 706-8393. The equation is similarly found by use of Tables LXVII or LXVII A. The nearest amount of "Argument" in Table LXVII A is 706-2500. Full work is as follows:-Diff. in anom. 0.5893. This, multiplied by the groupdifference (col. 4) 0-2257, is 0-133005. This, divided by 2-083, is 0-0638. The equation of anom. 706-2500 is (col. 3) 117 1181. This plus 0-0638-117-1819, the exact equation required.
Applying, as before, these exact equations of the values of anom. b and c to the value of a, we have
As already found Eqn. b
Eqn. c
a.
1327-8907 3.1546 117-1819
The tithi-index, t,=1448-2272
By the work as in Example 4 the tithi-index () at mean sunrise was 1448.
The karana.
Example 6. The karana is half a tithi. See Table LXVIII, cols. 4, 5. For the date we are examining (Examples 3, 4, 5), viz. sukla 5 (Table, col. 2), the two kara pas are Bava and Balava. The tithi began (end of Example 4) 6 9m before and ended 15h 31m after mean sunrise on 29 Aug. A.D. 1226. Its length was 23h 40m. Half of this is 11h 50. Thus Bava was the karapa from 8h 9m before to 3h 41m after mean sunrise on 29 Aug., and Balava was the karana from 3h 41m to 155 31m on that day. Since the karapa mentioned in the given date was Bava, the action referred to in the record must have taken place between mean sunrise and 3h 41m later on 29 Aug. 1226, i.e. roughly between 60 and 9.41 A.M. on that day.
The nakshatra.
Example 7. Required the nakshatra of the same day, month and year as in Examples 3, 4,
5, 6.
A nakshatra, or lunar mansion, is, in the equal-space system, a 27th part of the complete journey of the moon in a lunar month through the circle of the stars. Our nakshatra-index shews in which of these parts the moon was at any given moment. In these examples we are working for the true, not mean, moon's place. Each of these 27 parts has its own nakshatraname and yoga-name (see Example 8). In the systems of Garga and the Brahma-Siddhanta the divisions of the constellation-circle are unequal, being designed more nearly to suit the positions of the principal stars1; but the names of the divisions are the same as in the equal-space system.
The indices of the beginning and ending points of the nakshatras are stated, in 10,000th of the circle, in Table LXVIII. The same in degrees are given, together with those of the zodiacal solar signs, in "Indian Chronography," Table XXII.
(A) The rule for finding the nakshatra roughly, when working with only whole numbers, is as follows:-Take the c of the date; multiply it by 10; add the constant 7226 (see § 302 above); and deduct the amount of "equation c." This gives s, the sun's true longitude at mean sunrise of the given day. Add s to 't and the result is n, the nakshatra-index. Reference with this index to Table LXVIII (col. 8, or 9, or 10) shews the nakshatra required, i.e. the
Mr. G. R. Kaye, in his "Astronomical Observatories of Jai Singh " (p. 117), gives the actual lat. and long. of the stars after which the nakshatras were named.
