 | | 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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| << Previous article | Volume 58, Issue 8 / 2023 | Next article >> |
| A.A. Burov, "Motion of a Variable Body with a Fixed Point in a Time-Dependent Force Field," Mech. Solids. 58 (8), 2750-2756 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
8 |
Pages |
2750-2756 |
| DOI |
10.3103/S002565442308006X |
| Title |
Motion of a Variable Body with a Fixed Point in a Time-Dependent Force Field |
| Author(s) |
A.A. Burov (Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, 119333 Russia, jtm@narod.ru) |
| Abstract |
The problem of motion around a fixed point of a variable body in a time-dependent force
field is considered. The conditions under which the equations of motion are reduced to the classical
Euler–Poisson equations describing the motions of a rigid body in the field of attraction are indicated.
The problems of the existence of the first integrals and the stability of steady motions are discussed. |
| Keywords |
motion of a variable body with a fixed point, time-dependent force field, change of time, change of variable, existence of integrable cases, nonintegrability of equations of motion, existence of steady motions, bifurcation diagrams |
| Received |
30 May 2023 | Revised |
30 September 2023 | Accepted |
10 October 2023 |
| Link to Fulltext |
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