Abstract
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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 166, No. 3, pp. 425–442, March, 2011.
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Tatarinov, Y.V. Formalism of the relativistic dynamics of several point masses and orbit precession in the “ball-point” problem. Theor Math Phys 166, 369–384 (2011). https://doi.org/10.1007/s11232-011-0029-7
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DOI: https://doi.org/10.1007/s11232-011-0029-7