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.