 | | 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 56, Issue 5 / 2021 | Next article >> |
| Burov A.A. and Nikonova E.A., "Steady Motions of a Symmetric Isosceles Tetrahedron in a Central Force Field," Mech. Solids. 56 (5), 737-747 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
5 |
Pages |
737-747 |
| DOI |
10.3103/S0025654421050071 |
| Title |
Steady Motions of a Symmetric Isosceles Tetrahedron in a Central Force Field |
| Author(s) |
Burov A.A. (Federal Research Center "Computer Science and Control" of the RAS, Moscow, 119333 Russia; HSE University, Moscow, 109028 Russia, jtm@narod.ru)
Nikonova E.A. (HSE University, Moscow, 109028 Russia, nikonova.ekaterina.a@gmail.com) |
| Abstract |
The existence and stability of equilibria in the problem of motion around a fixed point of a rigid body in the form of an isosceles tetrahedron in the central Newtonian field of forces are studied. The connection of these equilibria with the previously studied equilibria of a regular tetrahedron, which are a special case of permanent rotations, is clarified. The article was inspired by the publications of A. V. Karapetyan and co-authors, in which an original approach is proposed that makes it possible to effectively take into account symmetries in the study of steady motions in problems of the dynamics of a rigid body with a fixed point. |
| Keywords |
a rigid body with a fixed point, a body in a central gravitational field, Routh's theory, stability and branching of steady motions, an isosceles tetrahedron |
| Received |
20 June 2020 | Revised |
28 July 2020 | Accepted |
31 August 2020 |
| Link to Fulltext |
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