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    Two non-holonomic integrable systems of coupled rigid bodies

    2011, Vol. 7, No. 3, pp.  559-568

    Author(s): Borisov A. V., Mamaev I. S.

    The paper considers two new integrable systems due to Chaplygin, which describe the rolling of a spherical shell on a plane, with a ball or Lagrange’s gyroscope inside. All necessary first integrals and an invariant measure are found. The reduction to quadratures is given.
    Keywords: non-holonomic constraint, integrability, invariant measure, gyroscope, quadrature, coupled rigid bodies
    Citation: Borisov A. V., Mamaev I. S., Two non-holonomic integrable systems of coupled rigid bodies, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 3, pp.  559-568
    DOI:10.20537/nd1103011


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