On the Greek Origin of the Indian Planetary Model Employing a Double Epicycle

  title={On the Greek Origin of the Indian Planetary Model Employing a Double Epicycle},
  author={David Edwin Pingree},
  journal={Journal for the History of Astronomy},
  pages={80 - 85}
  • D. Pingree
  • Published 1 June 1971
  • Physics
  • Journal for the History of Astronomy
The development of geometric models to explain the inequalities of planetary motion in terms of combinations of circular motions is characteristic of Greek astronomy, and derives its initial bias from statements of the Pythagoreans, Plato, and Aristotle regarding the structure of the universe and, in the case of Aristotle, the difference between the mechanics of the sublunar centre of the cosmos and that of the celestial spheres. It is hardly necessary to point out here that among the devices… 
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The Paitdmahaslddhdnta of the Vi/fJudharmollarapurdfJa
    Hiller) that Hipparchus (and Plato) preferred the epicycle over the eccentric because it is more natural. The authority of this assertion is Questionable
    • Theon of Smyrna asserts
    The Yavanajdtaka of Sphujldhvaja
      Die durch Averroes erhaltenen Fragmente sur Metaphysik des Aristoteles (Berlin, 1885). III ; Simplicius, In De caelo I
        The equivalence of eccentric and epicyclic motion according to ApolIonius", Scripta mathematlca, xxiv
        • 1959
        6-7; see also N. Swerdlow, Ptolemy's theory of the distances and sizes of the planets, unpublished dissertation submitted to Yale University
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        A contemporary qualitative epicyclic model is found in P. Mich. 149; see A
        • Aaboe in Centaurus
        • 1963
        The arguments against a Greek origin presented by B. Chatterjee, most recently in her edition of Brahmagupta's Khat;l(iakhddyaka (2 vols
        • Calcutta 1970: vol. i, pp. 264-295),
        • 1970
        The Later Paulisasiddhanta
        • Centaurus
        • 1969