Full asymptotic expansion of the relativistic orbit of a test particle under the exact Schwarzschild metric

Physics

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Scientific paper

The perturbation method of Lindstedt and Poincaré has been used for the derivation of the asymptotic expression of the relativistic orbit of a test particle influenced by the exact Schwarzschild metric, from which the perihelion advance of a test particle is expressed as a rapidly convergent power series. Numerical results show the convergence characteristics of the modified Newtonian orbital expression.

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