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

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.

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

Cite this paper

nullF. Abd El-Salam and S. El-Bar, "Formulation of the Post-Newtonian Equations of Motion of the Restricted Three Body Problem,"*Applied Mathematics*, Vol. 2 No. 2, 2011, pp. 155-164. doi: 10.4236/am.2011.22018.

nullF. Abd El-Salam and S. El-Bar, "Formulation of the Post-Newtonian Equations of Motion of the Restricted Three Body Problem,"

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