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Gyrostats in free Rotation

Published online by Cambridge University Press:  12 April 2016

Antonio Elipe
Antonio Elipe*
Affiliation:
Grupo de Mecánica Espacial, Universidad de Zaragoza Zaragoza, Spain

Abstract

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We consider the problem of the attitude dynamics of a gyrostat under no external torques and constant internal spins. We introduce coordinates to represent the orbits of constant angular momentum as a flow on a sphere. This new representation shows that the problem is a particular case in the class of dynamical systems defined by a Hamiltonian that is a polynomial of at most degree two in a base of the Lie algebra so(3).

Type
Theory of Motion
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 391 - 398
Copyright
Copyright © Kluwer 1997

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