 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 54, Issue 2 / 2019 | Next article >> |
| G.V. Gorr, "On Three Invariant Relations of the Equations of Motion of a Body in a Potential Field of Force," Mech. Solids. 54 (2), 234-244 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
2 |
Pages |
234-244 |
| DOI |
10.3103/S0025654419030105 |
| Title |
On Three Invariant Relations of the Equations of Motion of a Body in a Potential Field of Force |
| Author(s) |
G.V. Gorr (Institute of Applied Mathematics and Mechanics, Slavyansk, 84100 Ukraine, gvgorr@gmail.com) |
| Abstract |
The problem of the motion of a rigid body having a fixed point in a potential field of forces
is considered. The existence conditions of three invariant relations of a special type, the choice of
which is due to the integration of the Poisson equations by quadrature, are investigated. A new solution
of the equations of motion of a dynamically symmetric body is found. A dynamically symmetric body
is characterized by one arbitrary function of the vertical vector component. The case where the angular momentum modulus is constant is studied. |
| Keywords |
invariant relations, potential field of force, dynamically symmetric body |
| Received |
09 November 2018 | Revised |
19 March 2019 | Accepted |
28 March 2019 |
| Link to Fulltext |
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