Spatial reorientation of a solid body using a moving mass in the presence of external forces specified as the functions of time

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Abstract

The spatial motion of a mechanical system consisting of a rigid body and a moving point mass, interacting with each other by means of unspecified internal forces, has been studied. The task is to construct such a trajectory for a point mass, when moving along which a rigid body, under the influence of the force of interaction with this mass, changes its orientation in space according to a known program. It is assumed that there are external forces acting on both objects, specified as functions of time. A system of three first-order ordinary differential equations, resolved with respect to derivatives, is obtained, which allows solving the problem. These relationships can be used to control spacecraft and robotic systems.

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, Moscow

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