The dynamics of the Chaplygin ball with a fluid-filled cavity
2012, Vol. 8, No. 1, pp. 103-111
Author(s): Borisov A. V., Mamaev I. S.
We consider the problem of rolling of a ball with an ellipsoidal cavity filled with an ideal fluid, which executes a uniform vortex motion, on an absolutely rough plane. We point out the case of existence of an invariant measure and show that there is a particular case of integrability under conditions of axial symmetry.
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