Article citationsMore>>

H. Poincaré, “Les Methodes Mouvelles de la Mecanique Celeste,” Vol. 3, Gauthier-Villars, Paris, 1892.

has been cited by the following article:

• TITLE: Formulation of the Post-Newtonian Equations of Motion of the Restricted Three Body Problem

  AUTHORS: Fawzy A. Abd El-Salam, Sobhy Abd El-Bar

  KEYWORDS: Post Newtonian Approximation, Geodesic Equation, Restricted Three Body Problem

  JOURNAL NAME: Applied Mathematics, Vol.2 No.2, February 25, 2011

  ABSTRACT: In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is considered as a perturbation. The quantities is expanded in powers of c-2. The equations of motion of the relativistic three body problem in the PN formalism are obtained.