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Russian Journal of Nonlinear Dynamics, 2021, Volume 17, Number 4, Pages 413–427
DOI: https://doi.org/10.20537/nd210404 (Mi nd767) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear physics and mechanics

Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball

A. A. Burovab, V. I. Nikonovba

a HSE University, ul. Myasnitskaya 20, Moscow, 101000 Russia
b Federal Research Center Computer Science and Control (FRC CSC) RAS, ul. Vavilova 40, Moscow, 119333 Russia
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DOI: https://doi.org/10.20537/nd210404
Abstract: The problem of the existence and stability of relative equilibria (libration points) of a uniformly rotating gravitating body, which is a homogeneous ball with a spherical cavity, is considered. It is assumed that the rotation is carried out around an axis perpendicular to the axis of symmetry of the body and passing through its center of mass. The libration points located inside the cavity are investigated. Families of both isolated and nonisolated relative equilibria are found. Their stability and bifurcations are investigated. Realms of possible motion are constructed.
Keywords: celestial bodies with cavities, libration points, relative equilibria, motion in a noncentral gravitational field, gravitating dumbbell.
Funding agency Grant number
Russian Science Foundation 22-21-00297
The research is supported by Russian Science Foundation (project No. 22-21-00297).
Received: 28.07.2021
Accepted: 29.10.2021
Bibliographic databases:
Document Type: Article
MSC: 70K20, 70K42, 70F15
Language: english
Citation: A. A. Burov, V. I. Nikonov, “Libration Points Inside a Spherical Cavity of a Uniformly Rotating Gravitating Ball”, Rus. J. Nonlin. Dyn., 17:4 (2021), 413–427
Citation in format AMSBIB
\Bibitem{BurNik21}
\by A. A. Burov, V. I. Nikonov
\paper Libration Points Inside a Spherical Cavity of
a Uniformly Rotating Gravitating Ball
\jour Rus. J. Nonlin. Dyn.
\yr 2021
\vol 17
\issue 4
\pages 413--427
\mathnet{http://mi.mathnet.ru/nd767}
\crossref{https://doi.org/10.20537/nd210404}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85123295524}
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