 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| M.Yu. Ivochkin, "The necessary conditions for the existence of an additional integral in the problem of the motion of a heavy ellipsoid on a smooth horizontal plane," J. Appl. Math. Mech. 73 (5), 616-620 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
5 |
Pages |
616-620 |
| Title |
The necessary conditions for the existence of an additional integral in the problem of the motion of a heavy ellipsoid on a smooth horizontal plane |
| Author(s) |
M.Yu. Ivochkin (Moscow, ivochkin@yandex.ru) |
| Abstract |
The equations of motion of an ellipsoid on a smooth horizontal plane are similar to the equations of motion of a heavy rigid body with a fixed point. In general, one integral is also lacking in order to integrate them. For a triaxial ellipsoid, the centre of mass of which coincides with the geometrical centre, it is proved that an additional integral is lacking (in the generic case). |
| Received |
21 May 2008 |
| Link to Fulltext |
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