THE STABILITY OF THE PSEUDO-REGULAR PRECESSION OF A GYROSTAT

Authors
ALEKHNOVICH OA DEMIN VG
Citation
Oa. Alekhnovich et Vg. Demin, THE STABILITY OF THE PSEUDO-REGULAR PRECESSION OF A GYROSTAT, Journal of applied mathematics and mechanics, 61(4), 1997, pp. 693-695
Citations number
3
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
61
Issue
4
Year of publication
1997
Pages
693 - 695
Database
ISI
SICI code
0021-8928(1997)61:4<693:TSOTPP>2.0.ZU;2-G
Abstract
The perturbed motion of a gyrostat, which is very similar to regular E uler precession, is analysed. The perturbations considered include sma ll displacements of the centre of gravity, the inclusion of rotors, an d the Loss of dynamic symmetry. Using the Kolmogorov-Arnol'd theory, t he stability of conditionally periodic motion close to regular precess ion is established. (C) 1997 Elsevier Science Ltd. All rights reserved .