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Integrable cases of a rigid body dynamics and integrable systems on the ellipsoids
Authors:O I Bogoyavlensky
Institution:(1) V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR, SU-117966 Moscow, USSR
Abstract:Infinite-dimensional sets of integrable cases are found for the equations of a rigid body rotation around a fixed point in an axially symmetric potential field and also in more complicated fields in the presence of some symmetry of the rigid body inertia tensor.
Keywords:
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