An exact analytical solution of Kepler's equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1972 English Publisher:Springer Science and Business Media LLCJournal:Celestial Mechanics, volume 6, pages 294-304 (issn: 0008-8714, eissn: 1572-9478,

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Authors: Siewert, C. E.; Burniston, E. E.;

doi: 10.1007/bf01231473

An exact analytical solution of Kepler's equation

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Abstract

Complex-variable analysis is used to develop an exact solution to Kepler's equation, for both elliptic and hyperbolic orbits. The method is based on basic properties of canonical solutions to appropriately posed Riemann problems, and the final results are expressed in terms of elementary quadratures.

Related Organizations

North Carolina Agricultural and Technical State University
United States
North Carolina State University
United States

Keywords

Celestial mechanics

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