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