________________
COMPUTATION OF DATES.
431
anomaly.
Cor.
312.
So
bom.
5
16
Siddhanta Siromani. Mr. Dikshit finds that the 12th tithi ended according to the Brahma Siddhanta at 60 gh. 16 p. after mean sunrise at Lanka, and according to the Siddhanta Siromani at 53 gh. 21p. For the Brahma Siddhanta (Tables XIII and XVI), we must select the 3rd Sråvana and not the 2nd :
Dist. ('s anomaly.
O's Apomal
• Anomaly. 8500
. 812' 30' 0 22° 47' 43" 2189 8 0 - 31 gh. 62. 85 years . . 125 52 80 268 27 31
0 0 0 + 1 58 3rd Srivana . 65 55 50 148 8 27 9? 38 47 - 2954
144 18 20 7 9 21 41 14 44 47 The corrections for Siddhanta Siromani (Table XIX) are:
Dist.
S adom. 8500
8500 52' 30"
SU 85 years
089 11 16 35 39 53 46
53 48 These corrections must be subtracted from the above result:Brakma Siddhduta 144° 18' 20" 79° 21' 41'1 14° 44' 47"
- 36 39 - 58 46 - 58 46 Siddhanta Siromani 148 42 41 78 27 65 18 51 1 Add 60 gł. 16 p. to Cor. - 29 gk. 54 p. = + 20 gk. 21 p. for Brakma Siddhanta.
» 58 , 21, » » » = + 23, 27, Siddhanta Siromani. Add the increase to the result for both authorities (Table XXII)Brakma Siddhanta 144° 18' 20" 79° 21' 41' 14° 44' 47" 20 gh. . 4 8 49 4 21 18
19 49 4 6
4 84 148 26 26 8 8 47 89 15 4 51 Siddhanta Siromani 149° 42'41" 1 78° 27' 55" | 13° 51' 1" 23gk. 4 40 28 5 0 80
22 40 27 p. 5 296
58 148 28 8328 34 18 14 148 We find the equations for the Brahma And for the Siddhanta Siromani: Siddhanta (Table XXIV) :( = -5° 0 14
(= -5° 0 7 = + 99 88
O = + 32 15 Sum= -4° 26' 16"
Sum = -4° 27 52 Applying the sum of the equations to the above results we get by the Brahma Siddhanta, 144° 0' 9"; by the Siddhanta Siromani, 144° 1' 1". Accordingly the 12th tithi ended before the time stated by Mr. Diksbit, by less than one pala in the case of the Brahma Siddhanta, and by four palas in that of the Siddhanta Siromani.
21 p.
21
.
Other problems solved by the Special Tables. 52. All problems which depend on the position of the sun and the moon, and which are treated of in the preceding section can be solved, for the several Siddhantas, with the greatest accuracy by means of the Special Tables.
True longitude of the Sun.-A calculation of a date as conducted in the preceding paragraphs yields (1) the distance of the mean moon from the mean sun for a parti. cular moment (Dist.), (2) the mean anomaly of the moon, (3) the mean anomaly of the sun for the same time, (4) the equation of mean moon to true moon, (b) the equation of mean sun to true sun, and (6) the true distance between sun and moon.
