पृष्ठम्:महाभास्करीयम्.djvu/२९९

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CHAPTER VIII EXAMPLES (Solved Examples) To find the true lunar day (tithi) and the ghatis elapsed at sunrise since the beginning of the current lunar day without the knowledge of the true longitudes of the Sun and Moon: 1-4. Multiply the ahargana by the number of lunar years¹ (in a yuga) and divide by the number of civil days² (in a yuga). Then are obtained the mean lunar years, etc. (corresponding to the ahargana). Also multiply the ahargana by the number of intercalary lunar years³ (in a yuga) and divide by the number of civil days (in a yuga). (Thus are obtained the mean interca- lary years, etc., corresponding to the ahargana). The difference between the two denotes the (mean) solar years, etc. (i.e., years, months, days, and ghatis) (corresponding to the ahargana). The solar years are not required (so they are to be omitted). From the remaining quantity (in months, days, and ghatis) subtract two months and eighteen days. Then (treating the months, days, etc., of the remainder thus obtained as the signs, degrees, etc., of the Sun's mean anomaly) calculate the (Sun's) equation of the centre. ¹ i.e., 44,52,778. 3 i.e., 1,57,79,17,500. s i.e., 1,32,778. Divide the (corresponding) solar time by 12 and apply that to the (mean) lunar days (and ghatis) (obtained from the ahargana) contrarily (i.e., add when the Sun's equation of the centre is subtractive and subtract when the Sun's equation of the centre is additive). Also apply one-twelfth of the time corres-