________________
COMPUTATION OF DATES.
433
form the beginning and the end of the solar month. As Table XX furnishes the elements on which the tithi depends for the time of the Sankranti according to the Súrya Siddhanta, the calculation for that Siddhanta will be easy. Let us compute the 2nd example in $31, Bhadrapada, in K. Y. 4343. 4800 . . . 845° 24' 0 27806 Ampangon | 28209 4.90 m. 8843 years. . 809 27 14
0 86 981 4313 K. Y. . . 294 51 14 276 38 6 28% 43 58 Simha Samkr. . 69 6 93 180 54 0 121 31 26 Eq.) -5° 0' 11"
357 57 47 T 97° 32' 8" 44° 15' 18" Eq. O +1 31 25 Sum of Eqs. -3 28 46
Sum -3° 28' 46" Distance, (- 7 354° 29' 1" Accordingly new-moon was still to come. K. Y. 4343. . 294° 51' 14" 278° 38' 6 282° 43' 53" Kany& Sam. . 81 19 14 226 14 1 152 6 4 Eq.) -3° 8' 14"
16 10 28 142° 52' 7" 74° 4958" Eg. O + 2 6 4 Sum of eq.. . -0 57 10
Sum -1° 57' 10 Distance - = 16° 18' 18"
Accordingly new-moon had passed. It follows that there were two new-moons in solar Bhadrapada, and consequently there was an intercalary Bhadrapada.
If the calculation is to be based on another Siddhanta, we still make use of the elements for the Sankranti as furnished by Table XX. The same calculation will show by what time the Samkranti and by what time the new-moon preceded or followed the moment calculated. It will then be easy to decide the case. To give an example we now calculate the same dates according to the first Arya Siddhanta. 4500 (T. XIII) · 344o Dia 2740 42° 28200's on
43 years (T. XV) 309 22 56 0 15 27 4343 K. Y. 293 46 68 | 274 40 9 2820 Simha Samkr.
Eq. ( -4° 50' 0" (Tab. XX) , 68 8 180 54 0 121 31 26 | Ea. O + i 275
856 58 29 1050 940 9 48° 31' 25 Sum 30 25 Sum of Eqs. . - 22 55
359 80 84" . Mean long. . .= 121° 31' 35"
Eq. O . .=-1275 True long. O. .= 120° 4' 30"
From Table XXII (column o's long.) we conclude that the Sankranti had occurred 49h. 30p. before the moment calculated, and from the same (column (-o) that new moon will occur 32gh. later; consequently it fell in Bhadrapada. We now compute the next Samkranti:
Dist. K. Y. 4343. 299° 46' 58" 274° 40 9 | 282° 0 0 Eq.) -8° 9 88" Kanyå Samk. 81 19 14 226 14 1 152 6 4 Eq. O +2 3 57
156 10140° 54' 10" 1740B Sum = 105 +1 Sum of Eq. = -1 5 41
140 0 2 Mean long. O = 15208 4 "
Eq. O = % 3 57 True long. = 510° % 7"
C's an.
O's an.
