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Asymptotically pendulum-like motions of the hess-appel'rot gyroscope

โœ Scribed by Yu.P. Varkhalev; G.V. Gorr


Book ID
107775031
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
310 KB
Volume
48
Category
Article
ISSN
0021-8928

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The pendulum-like motions of a rigid bod
โœ A.P. Markeyev ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 647 KB

The motion of a heavy rigid body with a single fixed point in a uniform gravity field is considered. The geometry of the mass of the body and the initial conditions of its motion correspond to the case of Goryachev-Chaplygin integrability [1,2]. In this case periodic pendulum-like motions exist, cor