An algebraic method of obtaining of symplectic coordinates in a rigid body dynamics

Alexander Pavlov

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arXiv · nlin/0004036

An algebraic method of obtaining of symplectic coordinates in a rigid body dynamics

Alexander Pavlov

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Abstract

An algebraic procedure of getting of canonical variables in a rigid body dynamics is presented. The method is based on using a structure of an algebra of Lie-Poisson brackets with which a Hamiltonian dynamics is set. In a particular case of a problem of a top in a homogeneous gravitation field the method leads to well-known Andoyer-Deprit variables. Earlier, the method of getting of them was based on geometric approach.

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Alexander Pavlov. 2000-04-21. An algebraic method of obtaining of symplectic coordinates in a rigid body dynamics. https://arxiv.org/abs/nlin/0004036

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