On a semi-inverse problem in the motion of gyrostat satellites

Astronomy and Astrophysics – Astronomy

Scientific paper

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Satellite, Gyrostat, Equilibrium Orientation, Attitude Of Satellite, Inverse Problem

Scientific paper

In this paper we study the equilibrium orientation of a gyrostat satellite in the gravity field of a point mass. Direct problem is to find all possible equilibrium orientation when the relative angular momentum vector is given. Inverse problem is to find this relative angular momentum in order to obtain equilibrium in a given orientation. Semi-inverse problem is solved here when some parameters (but not all) giving orientation of the satellite are chosen arbitrarily, giving for what choices real solutions occur.

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