The implementation of a given motion of a rigid body relative to its center of mass by moving the material point

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Abstract

In the absence of external forces for a mechanical system consisting of an interacting solid body and a material point, a law of movement of a point is constructed that realizes a given body motion in the Koenig coordinate system. Conditions found that this movement has to satisfy. The result can be used both to create capsule robots and to control spacecraft. An example of applying the obtained formula is given.

About the authors

A. M. Shmatkov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Author for correspondence.
Email: shmatkov@ipmnet.ru
Russian Federation, 101, bldg. 1, Vernadskogo prospect, Moscow, 119526

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