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The Lagrange rigid body motion - MaRDI portal

The Lagrange rigid body motion (Q1155292)

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scientific article; zbMATH DE number 3731010
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English
The Lagrange rigid body motion
scientific article; zbMATH DE number 3731010

    Statements

    The Lagrange rigid body motion (English)
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    1982
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    motion of the three-dimensional rigid body
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    fixed point under the influence of gravity
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    symplectic structures
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    constants of the motion
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    Hamiltonian flow on a four-dimensional submanifold of \(so(3) \times so(3)\)
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    Euler-Poisson equations
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    coadjoint orbit of the Lie algebra of the semi-direct product group \(SO(3) \times so(3)\)
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    Hamiltonian flow on a coadjoint orbit in a Kac-Moody Lie algebra
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    elliptic integrals
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