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Formulation of the Post-Newtonian Equations of Motion of the Restricted Three Body Problem
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Applied Mathematics·Volume 02 (2011)·Pages 155–164·Published 25 February 2011·DOI10.4236/am.2011.22018
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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 <i>c</i><sup>-2</sup>. The equations of motion of the relativistic three body problem in the PN formalism are obtained.
KeywordsPost Newtonian ApproximationGeodesic EquationRestricted Three Body Problem
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