Analytic non-integrability of the Suslov problem
Copyright policy )Analytic non-integrability of the Suslov problem
In this work, we consider the Suslov problem, which consists of a rotation motion of a rigid body, whose center of mass is located at one axis of inertia, around a fixed point O in a constant gravity field restricted to a nonholonomic constraint. The integrability and non-integrability has been established by a number of authors for the nongeneric values of b = (b1, b2, b3) which is the unit vector along the line connecting the point O with the center of mass of the body. Here, we prove the analytic non-integrability for the remaining (generic) values of b.
Nonholonomic systems related to the dynamics of a system of particles, Motion of a rigid body with a fixed point, Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria)
Nonholonomic systems related to the dynamics of a system of particles, Motion of a rigid body with a fixed point, Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria)
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