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The prāṇakalāntara, or the difference between the longitude and the corresponding right ascension, is an important astronomical parameter used in determining the ascendant (lagna), as well as the equation of time in Indian astronomy. This paper explores the different algorithms described to calculate the prāṇakalāntara in the Lagnaprakaraṇa, a hitherto unpublished manuscript attributed to Mādhava, the founder of the Kerala school of astronomy and mathematics. We also point out the interpretation of some of the algorithms in terms of epicyclic models.

Madhava's Multi-Pronged Approach for Obtaining the Pranakalantara