Stability of non-symmetric rigid body rotation with provision or dissipative and constatnt torque.

Abstract

Rigid body center of inertia is contained in the third real axis of rigid body inertness, in terms of Lienard-Shepherd criterions which were written in the innert form, where conditions for asymptotic stability of steady rotation of a dynamically asymmetric rigid body with a fixed-point were obtained as a system of three inequalities in the present paper. Rigid body affected by force of attraction, dissipative torque and constant torque. Analytic research of small relative values of the asymmetry of a rigid body, dissipative torque and constant torque in the inertial reference systems and asymptotic stability of steady rotation of rigid body in a resisting environment were conducted.