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COMPUTATION OF DATES.
429
By adding 588,466 to the Ahargana, we get the corresponding day of the Julian period, in this case 2,109,359. Divide the Ahargana or the day of the Julian period by 7; the rest indicates the week-day, counting from Friday =0 for the Ahargana, or Monday =0 for the Julian period,
If the Aharguna is given, we find the date from the tables in the following way: Find in Table VI the Ahar, nearest to, but smaller than, the proposed hargana, and subtract it from the latter; with the remainder go through the same operation using Table VII; and with the second remainder apply to Table VIII for the day of the year. The entries of the Index put together will give the date sought.
E.g. the poet Náråyanabhatta mentions that he finished his Bhagavata stotra on the 1,712,210th day of the Kaliyuga. We find the corresponding date according to the above rule, thus:--
1712210 1080190 = 4600 K. Y.
82020 31777 = 87 years.
243 = 0 Pausha. The day intended was K.Y. 4687, 0 Pausha, or A.D. 1586, 28th November.
If instead of the Ahargana the day of the Julian period be given, subtract 588,466 from the latter. The remainder is the Ahargana with which we proceed as just explained.
THE SPECIAL TABLES. 51. The Special Tables are chiefly intended for calculating tithis and other items of Hindu dates according to different Siddhantas, after the day and time of the day when the tithi ended has been ascertained approximately by means of the General Tables. The General Tables serve as a key for the Special Tables ; hence the general arrangement is the same in both. There is, however, this difference, that, while the General Tables refer to mean sunrise at Lanka, the Special Tables for centuries and odd years (XIII and XIV-XIX) refer to the beginning of the mean solar year. The time intervening between this moment and mean sunrise at Lanka is furnished by the column Cor.' In order, therefore, to make the calculation for mean sunrise at Lanka by the Special Tables, we must add to, or subtract from, the elements furnished by the tables for the day under consideration, their increase for the time indicated by
Cor.' The amount of the increase, taken from the Table XXII for ghatikda and palas, must be added with the sign of Cor.' .e. the amount must be added if. Cor.' · is additive, and vice versa.
The Special Tables furnish the astronomical data on which the tithi depends, vis. the mean distance of sun and moon, the mean anomaly of the moon, and the mean anomaly of the sun. The latter is composed of the anomaly of the sun for the begin. ning of the century and the mean longitude of the sun for the moment under con
* The sign of .Cor.' in the Special Tables will be found to be the converse of that in the General Tables. But the numerical valoe is the same in both.
* As this is practically the same in ook ears, the corresponding column has been omitted in the table for odd years.
