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Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field

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Abstract

This work is a relatively final result in studying the equations of motion of a dynamically symmetric, four-dimensional rigid body in a nonconservative force field in two logically possible cases of its tensor of inertia. The form of the force field considered is taken from the dynamics of real three-dimensional rigid bodies interacting with a medium.

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  1. Institute of Mechanics, M. V. Lomonosov Moscow State University, Moscow, Russia

    M. V. Shamolin

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 65, Mathematical Physics, Combinatorics, and Optimal Control, 2009.

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Shamolin, M.V. Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. J Math Sci 165, 743–754 (2010). https://doi.org/10.1007/s10958-010-9838-8

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