Mauḍhya and Visibility Corrections of Planets

Abstract

Next is stated darśana-saṃskāra. This is indicated by that part of the ecliptic which touches the horizon when a planet having vikṣepa rises above the horizon. Consider a set up. in which the northern rāśi-kūṭa is raised and the planet is in one of the first three rāśi-s beginning from Meṣa; let the point of contact of the ecliptic and the rāśi-kūṭa-vṛtta passing through the planet be rising on the horizon. Further, suppose that the planet has vikṣepa towards the northern rāśi-kūṭa. Then, the planet will be raised above the horizon. Therefore, the gnomon of the planet at that time is computed first. When this gnomon is taken as Rcosine, its hypotenuse will be the distance between the planet and the horizon on the vikṣepa-koṭi-vṛtta. Now, the dṛkkṣepa-vṛtta meets the apakrama-vṛtta towards the south at a distance equal to the distance between the zenith and the dṛkkṣepa. In the dṛkkṣpepa-vṛtta itself, at a place north of the horizon, at a height equal to the distance between the horizon and the dṛkkṣepa, is the northern rāśi-kūṭa. The northern vikṣepa is that which moves towards the northern rāśi-kūṭa. Applying the rule of three: If the maximum distance between the horizon and the rāśi-kūṭa (vṛtta) touching the planet is the dṛkkṣepa, how much will be the distance from the horizon to the planet with vikṣepa; the result would give the gnomon of the planet with vikṣepa. Then, the proportion: If for the Draw P’P₁ perpendicular to CP and P₁F₁ perpendicular to OL.