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
1. Verfasser:	Ivochkin, M.Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Ellipsoids Equations of motion Exact sciences and technology Fundamental areas of phenomenology (including applications) Horizontal Integrals Mathematical analysis Physics Planes Rigid-body dynamics Solid dynamics (ballistics, collision, multibody system, stabilization...) Solid mechanics
Online-Zugang:	Volltext
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