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The stability of regular grioli precessions

โœ Scribed by V.N. Tkhai

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
752 KB
Volume
64
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

In the plane of two essential parameters of the problem, the region the necessary and (individually) sufficient conditions of stability of regular Grioli precessions in the problem of the motion of a heavy, dynamically asymmetrical rigid body about a fixed point is defined. The existence of periodic motions close to regular Grioli precessions is also proved. A method that requires only in solutions of the Cauchy problem to calculate the characteristic exponents of a reversible linear pkiodic system of order I+ II (f 3 n) is proposed, 63 2001 Elsevier Science Ltd. All rights reserved.

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The stability of the pseudo-regular prec
The stability of the pseudo-regular precession of a gyrostat
โœ O.A. Alekhnovich; V.G. Demin ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 150 KB

The perturbed motion of a gyrostat, which is very similar to regular Euler precession, is analyzed. The perturbations considered include small displacements of the centre of gravity, the inclusion of rotors, and the loss of dynamic symmetry. Using the Kolmogomv-bol'd theory, the stability of conditi