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G. D. Birkhoff, “The Restricted Problem of Three Bodies,” Rendiconti del Circolo Matematico di Palermo, Vol. 39, 1915, pp. 265-334. doi:10.1007/BF03015982

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.