The Astronomical Observatories of Jai Singh c15.s1.t4.3

c15.s1.t4.3

(*a*) One of the most frequent of the Hindu calculations is concerned with finding the *ahargaṇa*, or ‘sum of days’ that have elapsed since the beginning of a *yuga*. Thus at the commencement of the Śaka year 953 (A.D. 1031, February 25th) 3,244,132 years of the *chaturyuga* had elapsed, and to find the number of civil days the calculation is as follows:— 12 × 3,244,132 × G/D gives 1,196,525 intercalary months,² whence the lunar days elapsed are 30 (12 × 3,244,132 + 1,196,525)=1,203,783,270. Again 1,203,783,270 × I/H gives 18,835,679 omitted lunar days, and the number of civil days that have elapsed is therefore 1,203,783,270—18,835,679=1,184,947,591.