 | | 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
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 57, Issue 5 / 2022 | Next article >> |
| E.A. Nikonova, "Stationary Motions of a Close to Regular Isosceles Tetrahedron with a Fixed Point in the Central Newtonian Force Field," Mech. Solids. 57 (5), 1059-1067 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
5 |
Pages |
1059-1067 |
| DOI |
10.3103/S0025654422050211 |
| Title |
Stationary Motions of a Close to Regular Isosceles Tetrahedron with a Fixed Point in the Central Newtonian Force Field |
| Author(s) |
E.A. Nikonova (Federal Research Center "Computer Science and Control" of the RAS, Moscow, 119333 Russia, nikonova.ekaterina.a@gmail.com) |
| Abstract |
The existence, stability, and branching of stationary motions of a tetrahedral body around a fixed point in the central Newtonian force field are studied. The case of an isosceles tetrahedron close to regular is considered. The connection of these properties of stationary motions with the properties of stationary motions of a regular tetrahedron is investigated. In celestial mechanics, the gravitational field of an irregularly shaped celestial body is often modeled by the gravitational field of some set of massive points. Representations in the form of a set of two or three point masses contain symmetries that are not inherent in real bodies. Approximations of gravitational fields with the help of fields of attraction of exactly four massive points seem to be the most suitable. |
| Keywords |
rigid body with a fixed point, body in a central gravitational field, Routh theory, stability and branching of stationary motions, isosceles tetrahedron |
| Received |
14 December 2021 | Revised |
06 January 2022 | Accepted |
07 January 2022 |
| Link to Fulltext |
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