________________
COMPUTATION OF DATES.
417
An. 8++ 798
619
-0-20
29-62
Now it is evident that, as 12-17 + 17.83 = 30, and 14.22 + 1578 = 30, those years in Table II whose tithi is larger than 1878, but smaller than 17.83, may have had an intercalary Sravana; for such a tithi added to that for the beginning of Sravana of 4000 K. Y., viz. 12-17, will give less tban 30, indicating wane of the moon, and added to the tithi for the beginning of Bhadrapada, diz. 14-22, give more than 30 or indicate waxing moon as required for an intercalary month. Running the eye over Table II, we select the years whose tithi is between 15.78 and 17.83, viz. 7, 15, 34, 53, 64, 72, 91.
In these years, therefore, an intercalation of Sråvaņa was possible. Those years whose tithi is very near the limits must be calculated, as for them the intercalation is
doubtful, e.g. 7, the Cor. of 7 being -12 gh. 21p. subtract K.Y. 2000 19:17 7 17-05
the equivalent (Table IV) from the result. 4007 20-82
As 29.78 indicates waning moon, the month was interca-12 gh.
lary, for without calculation we see that the 1st tithi of
635 au. 635 +0-11
Bhadrapada comes out larger than 30 or 0. 29-73
But, if we compute for 4061, we find that the new-moon had occurred before the beginning of the Sravana, -there being consequently no intercalary month of that name.16
34. As the beginning of the solar year, and consequently of the solar months, depends on the leugth of the solar year, and as the different authorities vary in this particular, Table I exhibits columns for the solar correction according to the different Siddhantas most in use. By using the different columns we get different beginnings of the solar months. Usually the difference amounts to a few ghaţikás only; but the Brahmasiddhanta yields a date differing by about one day from that of the others.
It is obvious that the difference in the beginning of the solar months, even if it amounts to few ghatikas only, may occasionally make one month intercalary according to one Siddhanta, while others would make a preceding or following month intercalary. For instance, if we calculate Bhadrapada in Samvat 1467, that month is an ordinary one according to the Arya Şiddhanta, but intercalary according to the Súrya Siddhanta. while Åsvina is intercalary according to the Arya Siddhanta. 1st.-The calculation according to the Surya Sdalánta
Tithi. An.
20.99 11 years 1.87 820 - 16
Tithi.
gh. 4511 K. Y. 22.86 248
1 +511 K. Y. 22.86 248 Bhadra. 5.26 46+ + 17 57 Âývina 680 589 + 1930 28.12 712 +17 56
29-66 937 + 19 30 18 gh. .+0:30 1
19 gh. +0:32 11 28+2 723
29.99 818 an. 723, eq. = 6:01
| an. 818, «q. = 0.08 28-43, Moon waning.
0.06, Moon waxing.
4500
20
an.
1 The two factors wbich influence the preliminary result are Cor. of the year and c's an. The former muy even extend the limits under certain circumstances: if Cor. of the odd year is the limit for the begiuning of the math my become exterded, if +, that for the end of the month; but never by more than 0'00.
