TITLE:
Approximate Kepler’s Elliptic Orbits with the Relativistic Effects
AUTHORS:
Leilei Jia
KEYWORDS:
Kepler’s Elliptic Orbits; The Relativistic Kepler Problem; Unboundedness; Averaging
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.3 No.1,
March
29,
2013
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.