Geodesic
Formalism of the relativistic dynamics of several point masses and orbit precession in the “ball–point” problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 3, pp. 425-442 Cet article a éte moissonné depuis la source Math-Net.Ru

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We use the Lagrangian formalism to study the relativistic problem of the dynamics of gravitation between a ball and a point in the framework of the Kozlov–Nikitin approach. The Lagrangian is invariant under the Poincaré group action. We use perturbation theory to establish the existence of precession of the point orbit.
Keywords: theory of relativity, two-body problem, orbit precession. 
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Ya. V. Tatarinov. Formalism of the relativistic dynamics of several point masses and orbit precession in the “ball–point” problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 3, pp. 425-442. http://geodesic.mathdoc.fr/item/TMF_2011_166_3_a6/

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