Page:Sewell Indian chronography.pdf/67
146. Table XXVII.A enables us to ascertain the exact beginning of each saṁvatsara of the cycle. 1 Prabhava of the cycle which began in K.Y. 33 began 223.5403 days after apparent Mēsha saṁkrānti. Therefore 2 Vibhava of the same cycle began number of days earlier in the next solar year; 3 Śukla began number of days earlier in the next following solar year. Thus:—
| In K.Y. 34, 2 Vibhava began (223.5403 − 4.2320) = 219.3083 days after apparent M.S. |
| In K.Y. 35, 3 Śukla began (223.5403 − 8.4641) = 215.0762 days after apparent M.S. |
and so on. Against each saṁvatsara is entered in col. 3 the number of days to be deducted from the number for 1 Prabhava of the cycle given in Table XXVII. in order to find by how many days after apparent M.S. of its own solar year the saṁvatsara began. The time of apparent Mēsha saṁkrānti is obtained, for each year, from Table I., and this, added to the result already arrived at, gives the month, day, hour and minute of the beginning of the saṁvatsara.
147. One example will suffice (see Sec. 137), another being given in example 50 below. We desire to know (i) what saṁvatsara was current at apparent Mēsha saṁkrānti of K.Y. 4397 expired, A.D. 1296–7; (ii) what saṁvatsara began in that year; (iii) the time of the former's beginning; (iv) the time of its ending; (v) in what mean sign of the zodiac Jupiter stood during the course of the saṁvatsara—all these according to calculation by the Sūrya Siddhānta without the bīja.
(i, ii) (Table XXVII.). 1 Prabhava of the cycle began in K.Y. 4362, expired. 4397 − 4362 = 35 + 1 = 36. (Table XXVII.A.) 36 Śubhakṛit.
Answer.—(i) 35 Plava was current at Mēsha saṁkrānti, and (ii) 36 Śubhakṛit began during the current solar year.
(iii) The Mēsha saṁkrānti of K.Y. 4397, expired, marked the beginning of that year, and Plava being then current it began in K.Y. 4396 expired (A.D. 1295).
| Days. | |||
| (Table XXVII.) For K.Y. 4362 | 315.4215 | ||
| (Table XXVII.A.) 35 Plava | −143.8892 | ||
| 171.5323 | |||
| d. | h. | m. | |
| 171.5323 = (Table XXXVI.)[1] | 171 | 12 | 47 |
| Mēsha saṁk. K.Y. 4396 expired (Table I.) | 85 | 1 | 45 |
| 256 | 14 | 32 | |
| 256 (Table IX.) = September 13th, A.D. 1295. | |||
Answer.—Plava began 14 h. 32 m. after mean sunrise on September 13th, A.D. 1295. If necessary the corresponding solar month and day of the Kaliyuga year K.Y. 4396 expired can be found in the usual way.
[Prof. Kielhorn calculated this date by his own method, and quoted his result as 14 h. 31.5 m. after mean sunrise on the same day. This is sufficient to establish the accuracy of both. I might, instead of 47 m., have quoted the minutes as 46.5, the actuals being 46 m. 31 s., and in that case the two results would have exactly tallied.]
(iv) 256 d. 14 h. 32 m. + (§ 142, D) 361 d. 0 h. 38 m. = 617 d. 15 h. 10 m. 617 (Table IX., right side) = (A.D. 1296 being a Leap-year) September 8th, A.D. 1296.
Answer.—Plava ended September 8th, A.D, 1296, at 15 h. 10 m. after mean sunrise. Kielhorn gives it as 15 h. 9.9 m.
(v) By Table XXXII., col. 3. opposite 35 Plava, we find that Jupiter stood in the sign Dhanus.
- ↑ .53 = 12 h. 43 m. 12 s. .0023 = 3 m. 18.52 s Total, 12 h. 46 m. 30.52 s We call this 12 h 47 m.