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The phase topology of a special case of Goryachev integrability in rigid body dynamics

โœ Scribed by Ryabov, P E

Book ID
126514583
Publisher
Turpion Limited
Year
2014
Tongue
English
Weight
614 KB
Volume
205
Category
Article
ISSN
1064-5632

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The pendulum-like motions of a rigid bod
The pendulum-like motions of a rigid body in the Goryachev-Chaplygin case
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