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
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 geometri...
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Veröffentlicht in: | Journal of applied mathematics and mechanics 2009, Vol.73 (5), p.616-620 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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). |
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ISSN: | 0021-8928 0021-8928 |
DOI: | 10.1016/j.jappmathmech.2009.11.015 |