Abstract
Assuming that the center of mass of a solid is on the third principal axis of inertia of a rigid body, on the basis of the Lienard-Shipar criterion, written in an innocent form, the asymptotic stability condition for the uniform rotation of a dynamically asymmetric rigid body with a fixed point as a system of three inequalities. The solid is under the action of attraction forces, dissipative torque and constant moment in the inertial and non-reference frames. The carried out studies of the asymmetry of a solid body and the dissipative moment, as well as of two constant moments on the stability conditions for uniform rotation of a rigid body. The results for a symmetric rigid body in the case of dynamic asymmetry of a rigid body and dissipative asymmetry are known.
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