The Implementation of a Given Motion of a Rigid Body Relative to Its Center of Mass by Moving the Material Point

Abstract

In the absence of external forces in the mechanical system consisting of an interacting body and a material point, the law of motion of the point is constructed, which implements a prescribed motion of the body in the Koenig coordinate system. The conditions that this motion has to satisfy are found. The result can be used both for fabricating capsule robots and for controlling spacecraft. An example of applying the formula obtained is given.