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No. 10.)
THE SIDDHANTA-SIROMANI.
177
On a still closer examination, using the full number of given decimals and calculating the equations b and c thoroughly, it is found that at the Kanyā-sankranti the tithi-index was 10000-9421. It is not necessary to give the full working figures. It is certain that at that sa zkrānti the moon was waxing, so far as we have gone, and therefore the intercalated lunar month was (Table LVIII A, cols. 1, 2) 6 Bhādra pada.
But since the date K. Y. 4850 is 350 years subsequent to the base-year K. Y. 4500, and the lengths of the solar months have in the interval slightly changed in consequence of the shift of the sun's apsis, it is necessary to find out whether this change would make any differ. ence in the result. We therefore correct the a of the Kanyā-samkrauti bs Table LVIII D. At the Kanya-samkrānti 300 years after K. Y. 4500 the change in a (col. 3) was - 0.0901. Increase this by one-sixth for another 50 years' change. Total change -0.1051. Hence the real tithi-index, t, at Kanya-samkrānti was (0-9421 -0.1051=) 0.8370. Bhadrapada was certainly intercalated.