Formulation of the Post-Newtonian Equations of Motion of the Restricted Three Body Problem
Fawzy A. Abd El-Salam, Sobhy Abd El-Bar
DOI: 10.4236/am.2011.22018   PDF    HTML     6,043 Downloads   10,842 Views   Citations


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.

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F. 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.

Conflicts of Interest

The authors declare no conflicts of interest.


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