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428
EPIGRAPHIA INDICA.
equation; thus 6-41 -0.06 = 6:36. Convert the last result into degrees by multiplying it by 30; 6:36 x 30= 190°.8 or 190°48'. This is approximately the longitude of Jupiter at his conjunction with the sun. Add 1°; the result will be approximately the apparent longitude of Jupiter at his heliacal rising. Looking out this longitude of Jupiter in Tables IX and X, we find in which Nakshatra the planet stood, and consequently what was the name of the Jovian year which then commenced. In this case we find MahdVaisakha according to the Brahma Siddhanta, and Maha-Chaitra according to the other systems. But this is only an approximation.
49. The second part of the problem is to find the date of the heliacal rising of Jupiter. At the same time we can correct the longitude of Jupiter. Select in Table VIII the day on which the longitude of the sun is equal to that found for Jupiter at his conjunction, and calculate Jupiter Sam.' for that day, correct it by the equation, and convert it into degrees as above. The longitude of the sun is 191° 14' on the 12th Karttika; Jupiter' for that day is 0.5429, which added to the value for beginning of 3076 K.Y.: 6.9187 makes 6.4616 or 6'40; subtract equation 0.05, and we have 641, or in degrees 1920.8 or 192° 18'. If the resulting longitude of Jupiter is smaller than the longitude of the sun calculated for the day, the conjunction has passed; if larger, it is still to come. In either case the conjunction is removed from the computed date by as many days as degrees intervene between Jupiter and the sun. About 14 days after the conjunction the heliacal rising of Jupiter takes place, and the new Jovian year begine In this case we find that the conjunction took place on the 13th Karttika, and consequently the heliacal rising of Jupiter about the 27th, when bis longitude was about 193° 18'. The 27th Karttika of 3576 K.Y. is to be calculated by Tables I-III, -
Fer. Tithi. An. 8500 . . . (1) 25-96 685
76 years . . (5) 1.27 458 27 Kartt. . . (1) 4:67 658
(7) 1.90 699 An. 699, eq. = 0.02
1.92 Karttika-sudi 2, Saturday. Mr. Dikshita, who has calculated the same date, ascertained that the heliacal rising took place on Karttika-sudi 1; this result therefore differs from the correct one by one day. If we calculate again the longitude of Jupiter for the 27th Kárttika we find it to be 193°30', interpreted by Table X as the beginning of Svati, according to Garga and Brahmagupta. The year was therefore Mala-Vaisakha.
The Ahargana. 60. An element constantly used in Hindu calculations is the Ahargana, or the days elapsed since the beginning of the Kaliyuga. Column Ahar. in Tables VI-VIII, serves for finding the Ahargana for any given date, by.summing up the figures in the column for the three parts into which a date is divided; e.g. for K.Y. 4168, 19th Phal. guna, we find
1497561 68 years . . . . . . . .
23011 19th Phálguna . . . . . . .
821 Ahargana . . . . . . . 1,620,898
Ahar.
4100