Abstract: | This publication contributes to the series of RCD translations of Sergey Alexeevich Chaplygin’s scientific heritage. Earlier
we published three of his papers on non-holonomic dynamics (vol. 7, no. 2; vol. 13, no. 4) and two papers on hydrodynamics
(vol. 12, nos. 1, 2). The present paper deals with mechanical systems that consist of several spheres and discusses generalized
conditions for the existence of integrals of motion (linear in velocities) in such systems. |