Elevation of lunar horns

Abstract

The bhujājyā and koṭijyā of the difference between the longitudes of the Sun and the Moon is multiplied by half of the koṭijyā of the difference between the longitudes of the Sun and the mandocca of the Moon and divided by the trijyā. Of these two, the one obtained from the koṭijyā is applied to 10 times the hypotenuse of the Moon in minutes, positively or negatively depending on whether the ayanas are the same or differenṭ The square root of the sum of the squares of that and the bāhuphala is the distance of separation between theMoon and the Earth (in yojanas).Whatever is obtained from the bhujājyā [or bāhuphala] has to be multiplied by trijyā and divided by that [dvit¯ıya-sphuṭa-karṇa]. The result obtained must be applied positively or negatively to the true (manda-corrected) Moon, depending upon whether the longitude of Sun minus the mandocca of the Moon lies within the six signs beginning with Karka or Mṙga in a bright fortnight, and reversely in a dark fortnight.