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Integrable Systems on the Tangent Bundle of a Multi-Dimensional Sphere

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Abstract

This paper contains a systematic exposition of some results on the equations of motion of a dynamically symmetric n-dimensional rigid body in a nonconservative field of forces. Similar bodies are considered in the dynamics of actual rigid bodies interacting with a resisting medium under the conditions of jet flow past the body with a nonconservative following force acting on the body in such a way that its characteristic point has a constant velocity, which means that the system has a nonintegrable servo-constraint.

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Authors and Affiliations

  1. M. V. Shamolin, Moscow State University, Moscow, Russia

    M. V. Shamolin

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  1. M. V. Shamolin
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Correspondence to M. V. Shamolin.

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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 31, pp. 257–323, 2016.

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Shamolin, M.V. Integrable Systems on the Tangent Bundle of a Multi-Dimensional Sphere. J Math Sci 234, 548–590 (2018). https://doi.org/10.1007/s10958-018-4028-1

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