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No. 6.]
THE FIRST ARYA-SIDDHANTA, MEAN SYSTEM.
Table LXXVI, ools. 18, 14, 17, shows the day and time of occurrence of mean Meshasankranti (mean sun at long. 0°) in each year, and Example 1 shews how to find the value of a at mean sunrise of that day. To that value must be added from Table LXV the increment of a during the interval from mean sunrise to moment of samkranti. The advance of a during each mean solar month, i.e. from each mean sankranti to the next. (Table LXXVII, col. 4) is 307-3526. The work may be carried out by use of whole numbers, except when a case is very close. This occurs when a waning moon is very near 10,000, or when a waxing moon is very near 0.
Required the above details for the years noted in Examples 1, 2, viz. A.D. 624-5 and 625-6.
In A.D. 624-25 mean Mégha-Ramkrinti took place 14h 2- 30s after mean sunrise. In A.D. 625-26 it took place 20h 15m 0 after mean sunrise (Table LXXVI, cols. 13-17).
A.D. 624-25. Value of a at m. sunrise on mean Mosha-bar
kranti-day, as already found (Example 1) . . . (Table LXV). Increase of a in 14h . . . .
Ditto 2m . . . . . Ditto 30 . . . . .
a. 8630-8229 197.5858
0-4703 0-1176
Exact value of a at moment of mean Měsha-Bankranti.
.
8828-9461
A.D. 625-26. Value of a at m. sunrise of mean Mēsha-sam
kranti-day as found. . . . . . (Table LXV). Increase of a in 20h . . . . . Ditto 15m .
.
2231.4569 282-1932
3-5274
Exact value of a at moment of mean Menha-samkrinti.
.
2517.1775
For the several wamkrāntis in each year we work bere roughly with whole numbers only, Adding successively the increase of a in 1 solar month. . A.D. 624-25
A.D. 625-26 At Mesha-samkr. . . a=8829 . . . . . 2517 807
307 At Vrishabbe-emainder. . 9136 . . . . . 2824 307
307
At Vithana-samkr.
.
. 9443
307
.
.
.
.
.
3131
307
At Karka-samkr. .
.
.
.
.
.
.
9750 307
.
8438 307
At Sith ha-samkr. , . . 57 .. . . . . 8745 etc.
eto In A.D. 624-25 it is seen that the mean moon was waning at the Karka-samkranti and Waxing at the Simha-samkrinti, proving an intercalation of a lunar month, which month (soe Table LXXVII, col. 1) was Srivas Actually a at Sitha-sankranti was 58 36.