Abstract
We consider an unbalanced gimbal gyro with vertical outer suspension axis mounted on an immovable base in the gravity field and supplied with an electric motor. The equations of motion of such a system admit a family of solutions describing its steady-state motions (regular precessions and rotor uniform rotations). We show that, in the case of an isolated minimum of the reduced potential energy, the perturbed motions tend in the course of time to steady-state motions in the same family (even in the critical cases of stability).
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