A qualitative analysis of an integrable version of Suslov's nonholonomic problem (Q1098336)

We study an integrable problem of the motion of a solid about a fixed point with application of the nonholonomic Suslov's connection in a Newtonian field of forces. Suslov's nonholonomic problem belongs to the class of Chaplygin's systems, where dynamic equations are separated from the connection equations and the system is reduced to a Hamiltonian form by the introduction of a new independent variable (Chaplygin's reducing multiplier). The feasibility of the reduction is independent of the form of the potential function, offering a broad opportunity for studying such systems in various force fields.