The stability of the pseudo-regular precession of a gyrostat

The perturbed motion of a gyrostat, which is very similar to regular Euler precession, is analysed. The perturbations considered include small displacements of the centre of gravity, the inclusion of rotors, and the Loss of dynamic symmetry. Using the Kolmogorov-Arnol'd theory, the stability of conditionally periodic motion close to regular precession is established. (C) 1997 Elsevier Science Ltd. All rights reserved.