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TMF, 2011, Volume 166, Number 3, Pages 425–442 (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

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

DOI: https://doi.org/10.4213/tmf6620

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English version:
Theoretical and Mathematical Physics, 2011, 166:3, 369–384

Bibliographic databases:

Document Type: Article
Received: 14.05.2010

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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