The Lagrange rigid body motion

DOI10.5802/aif.866zbMath0466.58020OpenAlexW1974741683MaRDI QIDQ1155292

Pierre van Moerbeke, Tudor S. Ratiu

Publication date: 1982

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1982__32_1_211_0

zbMATH Keywords

Euler-Poisson equationselliptic integralssymplectic structuresconstants of the motioncoadjoint orbit of the Lie algebra of the semi-direct product group \(SO(3) \times so(3)\)fixed point under the influence of gravityHamiltonian flow on a coadjoint orbit in a Kac-Moody Lie algebraHamiltonian flow on a four-dimensional submanifold of \(so(3) \times so(3)\)motion of the three-dimensional rigid body

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

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Cites Work

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