Elevation of lunar horns

  • K. Ramasubramanian
  • M.S. Sriram
Part of the Sources and Studies in the History of Mathematics and Physical Sciences book series (SHMP)


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.


Angular Separation True Motion Orbital Radius True Distance Outer Planet 
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  1. {GYB 2008}.
    Gaṇita-yukti-bhāṣā of Jyeṣṭhadeva, ed. and tr. by K. V. Sarma with Explanatory Notes by K. Ramasubramanian, M. D. Srinivas and M. S. Sriram, Hindustan Book Agency, New Delhi 2008 (repr. Springer 2009).Google Scholar
  2. 6.
    Dennis Duke, The second lunar anomaly in ancient Indian Astronomy, Arch. Hist. Exact. Sci., 61, 147–157, 2007.MathSciNetMATHCrossRefGoogle Scholar

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© Hindustan Book Agency 2011

Authors and Affiliations

  1. 1.Department of Humanities and Social Sciences, IIT BombayCell for Indian Science and Technology in SanskritPowaiIndia
  2. 2.Department of Theoretical PhysicsUniversity of MadrasChennaiIndia

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