2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79787An 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.6 pages, LaTeXChaotic Dynamicstext