NEW CASE OF INTEGRABILITY IN DYNAMICS OF MULTI-DIMENSIONAL BODY



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Abstract

In this chapter the new results are systematized on study of the equations of motion of dynamically symmetrical four-dimensional (4D—) rigid body which residing in a certain nonconservative field of forces in case of special dynamical symmetry. Its type is unoriginal from dynamics of the real smaller-dimensional rigid bodies of interacting with a resisting medium on the laws of a jet flow, under which the nonconservative tracing force acts onto the body and forces both the value of velocity of a certain typical point of the rigid body and the certain phase variable to remain as constant in all time, that means the presence in system nonintegrable servo-constraints.

About the authors

N.V. Pokhodnya

Moscow Pedagogical State University

Author for correspondence.
Email: morenov.sv@ssau.ru

M.V. Shamolin

Moscow State University

Email: morenov.sv@ssau.ru

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Copyright (c) 2012 Pokhodnya N., Shamolin M.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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