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Chaos and order in the Rotational Motion

Published online by Cambridge University Press:  12 April 2016

Andrzej J. Maciejewski
Andrzej J. Maciejewski*
Affiliation:
Institute of Astronomy, Nicolaus Copernicus University, 87-100 Torun, ul. Chopina 12/18, Poland

Abstract

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It was proved that the problem of perturbed planar oscillations of a rigid-body in a circular orbit is nonitegrable. Two types of perturbations were considered: solar radiations pressure and the third body torques. In the second part of the paper example of chaotic rotations of a symmetric rigid body in a circular orbit was given. It was shown numerically that the phase space is divided into two separate regions of chaotic and ordered motions.

Type
Part I Chaos
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 23 - 38
Copyright
Copyright © Nova Science Publishers 1993

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