Page:Sewell Indian chronography.pdf/97
Example 1.—The moment of true sidereal Mēsha saṁkrānti according to the Ārya Siddhānta being found from Table I. of the "Indian Calendar" for any year for which the same moment according to the Sūrya Siddhānta is not given, it is required to find the latter. For each year from K.Y. 3401 expired, A.D. 300–1, to K.Y. 4201 expired, A.D. 1100–1, the moments of occurrence of true sidereal (nirayaṇa) Mēsha saṁkrānti according to the Ārya Siddhānta are given in Table I., cols. 13 to 17; and according to both the Ārya and Sūrya Siddhāntas from the latter date to K.Y. 5001 expired, A.D. 1900–1. Example 1 shows how to find the Sūrya Siddhānta true Mēsha saṁkrānti for any year in the former period.
Rule. Take down the time according to the Ārya Siddhānta from cols. 13 to 17 of Table I., and convert it to Sūrya Siddhānta time by Table XVII. (§§ 44 i, 46 ). (See above "Additional Notes," II., p. xii.)
Wanted the moment of Mēsha saṁkrānti by the Sūr. Siddh. in K.Y. 3915 expired, or A.D. 814.
| d. | w. | h. | m. | |
| By Table I., cols. 13 to 17 | 21 March (80) | 3 | 14 | 5 |
| By Table XVII. | + 35 | |||
| Answer. M.S.[1] by Sūr. Siddh. = | 21 March (80) | 3 Tues. | 14 | 40 |
If the time is required in ghaṭikās and palas, the answer would be—(from Table I., col. 15) 35 gh. 12 p. + (35 m. converted to gh. and p. by Table XXV.) 1 gh. 271/2 p. = = 36 gh. 391/2 p. [Calculation in terms of ghaṭikās and palas will not be specially dealt with in these examples. If wanted, it can be made from the Tables in similar manner to hours and minutes, or the latter can be converted into the former by Table XXV.]
Example 2.—The reverse process. This is not really wanted, but it shows that the Tables are accurate.
Rule. Take the Sū. Siddh. time from Table I., cols. 13, 14, 15A, 17A, and convert to time by Table XVII. with signs reversed.
Wanted the Ār. Siddh. M.S. in K.Y. 4491 expired, A.D. 1390.
| d. | w. | h. | m. | |
| By Table I., cols. as stated | 26 March (85) | 0 | 15 | 43 |
| By Table XVII., sign reversed | −1 | 38 | ||
| Answer. M.S. by Ār. Siddh. = | 26 March (Sat.), at | 14 | 5 | |
(as given in col. 17 of Table I.)
Example 3.—To find the time of true sidereal Mēsha saṁkrānti according to the Ārya Siddhānta in a year earlier than K.Y. 3401 expired, A.D. 300-1, and therefore not to be found from Table I. of the "Indian Calendar." (For explanation of process see above under "Correction I., Note," § 47.)
Rule. Find the Mēsha saṁkrānti time by Table I. according to the Ārya Siddhānta for any year removed by an interval of 576 years, or any multiple of 576 years, from the given year; and deduct from the day and month of the Mēsha saṁkrānti as there found 5 days for every such period of 576 years. Retain the ghaṭikās and palas, or hours and minutes as found. For the week-day, subtract from the found week-day 4 week-days for every such period.
Wanted according to the Ārya Siddhānta the moment of Mēsha saṁkrānti in 500 B.C. (K.Y. 2602 expired), and the day of the week.
- ↑ M.S. in these examples means Mēsha saṁkrānti.