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

摘要

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