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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 3, Pages 425–442
DOI: https://doi.org/10.4213/tmf6620 (Mi tmf6620) 		 
Formalism of the relativistic dynamics of several point masses and orbit precession in the “ball–point” problem

Ya. V. Tatarinov

Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf6620
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.
Keywords: theory of relativity, two-body problem, orbit precession.
Received: 14.05.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 3, Pages 369–384
DOI: https://doi.org/10.1007/s11232-011-0029-7
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Document Type: Article
Language: Russian
Citation: Ya. V. Tatarinov, “Formalism of the relativistic dynamics of several point masses and orbit precession in the “ball–point” problem”, TMF, 166:3 (2011), 425–442; Theoret. and Math. Phys., 166:3 (2011), 369–384
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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