Integrability of the problem of rolling of a sphere with a multiply connected cavity filled with an ideal fluid (Q1860546)

The author studies the problem of rolling of a sphere over a fixed horizontal plane under assumption that the sphere has a multiply connected cavity with an ideal fluid in vortex-free motion, and shows that the solution of the problem can be reduced to a quadrature. This is an English translation of a paper published in Russian in [Izv. AN SSSR, Mekh. Tverd. Tela 21, No. 1, 64--65 (1986)].