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.
Download File PDF, 404.52 Kb |
This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License