Article citationsMore>>

Y. S. Huang and C. L. Lin, “A Systematic Method to Determine the Lagrangian Directly from the Equations of Motion,” American Journal of Physics, Vol. 70, No. 7, 2002, pp. 741-743. doi:10.1119/1.1475331

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.