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    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.
    Keywords: vortex motion, non-holonomic constraint, Chaplygin ball, invariant measure, integrability, rigid body, ideal fluid
    Citation: Borisov A. V., Mamaev I. S., The dynamics of the Chaplygin ball with a fluid-filled cavity, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 1, pp.  103-111
    DOI:10.20537/nd1201007


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