Abstract

A new integrable case of the problem of motion of a gyrostat under the action of potential and gyroscopic forces is introduced. This case generalizes the classical Goriatchev - Chaplygin case of a heavy rigid body and its subsequent generalizations by Goriatchev and by Sretensky. A special version of the new case admits an interpretation as a problem of motion of a perforated body in a circulating fluid and equivalently as a case of motion of an electrically charged gyrostat acted upon by potential and Lorentz forces.

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