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
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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.
@article{TMF_2011_166_3_a6,
author = {Ya. V. Tatarinov},
title = {Formalism of the~relativistic dynamics of several point masses and orbit precession in the~``ball--point'' problem},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {425--442},
publisher = {mathdoc},
volume = {166},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_3_a6/}
}
TY - JOUR AU - Ya. V. Tatarinov TI - Formalism of the~relativistic dynamics of several point masses and orbit precession in the~``ball--point'' problem JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2011 SP - 425 EP - 442 VL - 166 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2011_166_3_a6/ LA - ru ID - TMF_2011_166_3_a6 ER -
%0 Journal Article %A Ya. V. Tatarinov %T Formalism of the~relativistic dynamics of several point masses and orbit precession in the~``ball--point'' problem %J Teoretičeskaâ i matematičeskaâ fizika %D 2011 %P 425-442 %V 166 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2011_166_3_a6/ %G ru %F TMF_2011_166_3_a6
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/