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194
THE INDIAN ANTIQUARY.
(JULY, 1889.
2. To find the end of any one year of Jupiter's cycle, without or with Bija, multiply either (c), i.e. the length of one cycle-year without Bija, or (d), ie, the length of one cycleyear with Bija, by the mamber which that partioalar year holds in the series of Jupiter's years counted from the beginning of the Kaliyuga (and which, as will be shown under 3, below, in practice can be readily ascerisined), and to the product add (a), i.e. the epoch of the Kaliyuga. Convert the result into the European date by Tables I. and II., as before.
Thus, assuming a year Vilamba to be the 4926th of Jupiter's years, counted from the commencement of the Kaliyuga, we find(a) for the end of Vilamba without Bija :
361.02672103 x 4926 1778 417-62779378 + 588 465.7500
2366 883-3778 days of the Julian period, which by Tables I. and II. correspond to
15th March, A.D. 1768, new style, 9 h. 4 m. In other words, the year Vilamba without Bija ended (and the following year Vikårin commenced) 9 h. 4 m. after mean sunrise (at Ujjain) of 15th March, A.D. 1768, new style. (6) for the end of Vilamba with Bija :
361•0346511 × 4926 1778 456-6913186 + 588 465-7500
2366 922-4413 days of the Julian period, which by Tables I. and II, correspond to
23rd April, A.D. 1768, new style, 10 h. 35-5 m. In other words, the year Vilamba with Bija ended (and the following year Vikärin commenced) 10 h. 35.5 m. after mean sunrise (at Ujjain) of 23rd April, A.D. 1768, new style. .. Having found the end of Vilamba, we find the commencement of Vilamba by deducting the length of one cycle-year, without or with Bija, as the case may be, thus :
end of Vilamba without Bija, 2366 883-3778 less one year without Bija, - 361.0267
remainder 2366 522 3511, 1.e. 20th March, A.D. 1767, new style, 8 h. 25.6 m., - beginning of Vilamba without Bija;
end of Vilamba with Bija, 2366 922.4413 less one year with Bija, - 361.0347
remainder 2366 561.4066, i.e. 28th April, A.D. 1767, new style, 9 h. 45.5 m., - beginning of Vilamba with Bija.
3. How to find the number of any year of Jupiter, mentioned in a date, in the series of Jupiter's years counted from the commencement of the Kaliyuge, may be best shown by two examples :
First Example. An inscription on a Sati-pillar at Boram-Dêo' in the Central Provinces, (Archæol. Survey of India, Vol. XVII. Plate xxii.) is dated
Samvat 1445 Bhava-nama-samvasa(tsa)ré Åsvi(svi)na-sudi 13 Sömd ; i.e. the (Vikrama) year 1445, in (Jupiter's) year named BhAve, the 13th of the bright balf of Âśvina, on Monday ;' - and the corresponding European date (for the northern expired Vikrama year 1445) is Monday, 14th September, A.D. 1388, when the 13th tithi of the bright half ended 19 h. after mean sunrise.
The question here is :- Which year of Jupiter, counted from the commencement of the Kaliyuga was the year Bhava (the 42nd year in the Sixty-Year Cycle, when counted from Vijaya as No. 1; see Table III.), which is mentioned in this date ?
