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

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

2000-04-21

arxiv.org/abs/nlin/0004036v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, LaTeX

Scientific paper

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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