Khandakhadyaka: A Practical Manual

Manual: By this method, the manual for the first [set] is performed. Having placed the desired remainder of the lost lunar days, divide it by 692. It is 1682 reconciling the number. The obtained values are days. The days are to be considered as degrees. The remainder, multiplied by 6, and divided by the same divisor, gives the minutes. In this way, the result in degrees, etc., is called the first [result] and should be set aside. Then, by that, the remaining remainder of the intercalary months should be made greater. Then, multiply by 30 and divide by 1006. The obtained value is days, etc. By that day-count, the degrees, etc., should be considered. This is called the second. Then, as many months or days [there are], the remainder of the intercalary months is known. As many months are to be considered as signs, and the days as degrees. Then, the sign should be added to the first [result] by the signs, etc. "Masadinaprathamaikyam" is its name. Then, from the sum of the months and days, subtract the second [value], and the midnight Sun is obtained. Elsewhere, the sum of the months and days, multiplied by 13 and decreased by the second, gives the midnight Moon. Now, if there is a current intercalary month, then the remainder of the intercalary months, having been increased by 6, the second [value] should be calculated from it.

Now, an example: For instance: The remainder of the lost lunar days is 402;56;46. Divided by 1682, the result in days is 0;34;56. Added to this remainder of the intercalary months, 433;28;13, it becomes 434;18;9. This, multiplied by 30, becomes 13022;4;30. Divided by 1006, the result in days is 12;56;38. Starting from the bright fortnight of Chaitra, the months and days: here the months are 11, and days are 10. These 11;10, added to the first 0;34;56, result in the sum of the months and days: 11;14;56. Subtracting the second 12;56;40 from this, the mean Sun is 0;2;18;16. Now, the sum of the months and days, multiplied by 13, becomes 6;0;34;18. Subtracting the second [value] from this, the Moon becomes 5;17;37;28. Thus, the Sun and Moon become clear, as previously calculated. Now, he describes the finding of the mandocca apogee for the Sun and Moon—

Eighty degrees is the mandocca of the Sun, with 20 minutes or 1/4th. From the day-count, the Moon's mandocca starts from revolutions with the divisors... original: "bhāgāśītiritanoccaṃ śaśinaḥ pādōnakṛtaśarakṛtonāt. bhagaṇādirdvicaradairvasunayayamanavaguṇaiḥ sakalam" ||13||

Meaning of the verse: Eighty degrees is "Bhagashiti". "Inocca" is the Sun's mandocca.