J. A. Sanders, F. Verhulst and J. Murdock, “Averaging Methods in Nonlinear Dynamical Systems,” Springer, New York, 2007.
has been cited by the following article:
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.