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Approximate Kepler’s Elliptic Orbits with the Relativistic Effects
Department of Electrical Engineering, Guilin College of Aerospace Technology, Guilin, China
- 1 Department of Electrical Engineering, Guilin College of Aerospace Technology, Guilin, China
International Journal of Astronomy and Astrophysics·Volume 03 (2013)·Pages 29–33·Published 29 March 2013·DOI10.4236/ijaa.2013.31004
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Abstract
Beginning with a Lagrangian, we derived an approximate relativistic orbit equation which describes relativistic correc tions to Keplerian orbits. The critical angular moment to guarantee the existence of periodic orbits is determined. An approximate relativistic Kepler’s elliptic orbit is illustrated by numerical simulation via a second-order perturbation method of averaging.
KeywordsKepler’s Elliptic OrbitsThe Relativistic Kepler ProblemUnboundednessAveraging
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