 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A.A. Burov, V.I. Nikonov, and E.S. Shalimova, "On Relative Equilibria on the Surface of a Spherical Cavity Inside a Uniformly Rotating Gravitating Ball," Mech. Solids. 57 (8), 1862-1872 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
8 |
Pages |
1862-1872 |
| DOI |
10.3103/S002565442208009X |
| Title |
On Relative Equilibria on the Surface of a Spherical Cavity Inside a Uniformly Rotating Gravitating Ball |
| Author(s) |
A.A. Burov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia, jtm@narod.ru)
V.I. Nikonov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia, nikon_v@list.ru)
E.S. Shalimova (Moscow State University, Moscow, Russia, ekateryna-shalimova@yandex.ru) |
| Abstract |
The problem of the relative equilibria of a point in the neighborhood of a uniformly rotating
homogeneous ball with a spherical cavity is considered. The body rotates about the axis perpendicular
to its symmetry axis and passing through its center of mass. Under the assumption of dry friction, the
families of nonisolated relative equilibria (libration points) located on the surface of the cavity are
studied. Their stability and bifurcations are investigated. |
| Keywords |
celestial bodies with cavities, nonisolated relative equilibria, motion in a noncentral gravity field, generalized gravitating dumbbell, dry friction |
| Received |
04 April 2022 | Revised |
23 July 2022 | Accepted |
01 August 2022 |
| Link to Fulltext |
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