Motion of a Variable Body with a Fixed Point in a Time-dependent Force Field

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Abstract

The problem of motion around a fixed point of a variable body in a time-dependent force field is considered. The conditions under which the equations of motion are reduced to the classical Euler–Poisson equations describing the motions of a rigid body in the field of attraction are indicated. The problems of the existence of the first integrals and the stability of steady motions are discussed.

About the authors

A. A. Burov

Federal Research Center “Computer Science and Control” RAS

Author for correspondence.
Email: jtm@narod.ru
Russia, Moscow

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