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Dynamics of rigid body. (Динамика твердого тела.) (Russian) Zbl 1004.70002
Moskva: NITS, Regulyarnaya i Khaoticheskaya Dinamika. 384 p. (2001).
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.

MSC:
70-02 Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems
70E40 Integrable cases of motion in rigid body dynamics
70H06 Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics
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