ρ-Libration point in the three body problem
نویسندگان
چکیده
Herein, the restricted circular three-body problem in homogeneous and inhomogeneous media is considered. Particular attention paid to libration points. The conditions of their existence or non-existence Newtonian post-Newtonian approximations general theory relativity are derived. Several regularities, new relativistic effects arising due impact additional forces on bodies gravitational fields mediums differential equations motion indicated. Using previously derived two A 1 , 2 medium, authors substantiated following statements. In a medium (density ρ = const) approximation there ρ-libration points 1,...,5, moving along same circles as Euler Lagrangian L i but with an angular velocity 0 greater than ω vacuum. Bodies also move > w When passing from relativity, centre mass bodies, resting must cycloid. trajectories can not be circles, disappear. case distributed, for example, spherically symmetrically, already cycloid, despite it was at rest void. Therefore, describe loops that form, figuratively speaking, «lace » relativity. figure illustrating situation provided. Due effect, point movements destroyed. special case, when masses equal ( m ), cycloids disappear all exist Numerical estimates predicted patterns Solar other planetary systems, interstellar intergalactic carried out. For displacements associated these effects, such displacement mass, reach many billions kilometres per revolution two-body system. possible role regularities theories evolution galaxies, ensembles discussed. brief review studies out by Belarusian scientific school given.
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ژورنال
عنوان ژورنال: Vescì Nacyânal?naj akadèmìì navuk Belarusì
سال: 2021
ISSN: ['1814-6023', '2524-2350']
DOI: https://doi.org/10.29235/1561-2430-2021-57-3-330-346