On Some Generalization of the Area Theorem with Applications to the Problem of Rolling Balls
Author(s): Chaplygin S. A.
First published in 1897 and awarded by the Gold Medal of Russian Academy of Sciences, this work has not lost its scientific significance and relevance. (In particular, its principal ideas are further developed and extended in the recent article "Two Non-holonomic Integrable Problems, Tracing Back to Chaplygin", published in this issue, see p. 191). Note that non-holonomic models for rolling motion of spherical shells, including the case where the shells contain intricate mechanisms inside, are currently of particular interest in the context of their application in the design of ball-shaped mobile robots.
We hope that this classical work will be estimated at its true worth by the English-speaking world.
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