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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.

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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  1. Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, 119333, Moscow, Russia

    A. A. Burov

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Translated by M. Shmatikov

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Burov, A.A. Motion of a Variable Body with a Fixed Point in a Time-Dependent Force Field. Mech. Solids 58, 2750–2756 (2023). https://doi.org/10.3103/S002565442308006X

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