Dynamics of rigid body. (Q2784289)
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scientific article; zbMATH DE number 1731868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamics of rigid body. |
scientific article; zbMATH DE number 1731868 |
Statements
22 April 2002
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rigid body dynamics
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integrable top
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potential field
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Poisson structures
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existence of first integrals
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motion of body in fluid
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Hamilton's equation
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Dynamics of rigid body. (English)
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The book can be considered as a complete and careful exposition of all known by now integrable cases of motion of rigid body, including motions in a potential field or in a fluid. The exposition is based on a general consideration of equations of motion presented in Hamiltonian form with respect to certain Poisson structures, and on a study of existence of first integrals in such systems. Both classical results and new results belonging to the authors are presented thoroughly, and in many cases the qualitative behaviour of a system is demonstrated by numerical simulations.
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