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Invariant sets in the Clebsch–Tisserand problem: Existence and stability

✍ Scribed by A.V. Karapetyan

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
259 KB
Volume
70
Category
Article
ISSN
0021-8928

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✦ Synopsis

Questions of the existence and stability of invariant sets in the problem of the motion of a rigid body with a fixed point in an axi-symmetric force field with a quadratic potential (with respect to the direction cosines of the axis of symmetry of the field) are discussed. This problem is isomorphic with the problem of the motion of a free rigid body bounded by a simply connected surface in an ideal homogeneous incompressible fluid which performs irrotational motion and is at rest at infinity. [

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