Approximate Kepler’s Elliptic Orbits with the Relativistic Effects

Leilei Jia

Department of Electrical Engineering, Guilin College of Aerospace Technology, Guilin, China.

DOI: 10.4236/ijaa.2013.31004                

Abstract

Beginning with a Lagrangian, we derived an approximate relativistic orbit equation which describes relativistic corrections 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.

Keywords

Kepler’s Elliptic Orbits; The Relativistic Kepler Problem; Unboundedness; Averaging

Conflicts of Interest

The authors declare no conflicts of interest.

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