Stabilization of satellite's regular precessions by magnetic torques

We consider the stabilization of regular precessions of a dynamically symmetric satellite, which mass center moves in a circular orbit, in the gravitational and magnetic fields of the Earth. The control torques are formed by the interaction of the satellite's own dipole moment with the Earth's magnetic field. Equations of motion linearized in the vicinity of regular precessions are linear nonstationary systems. To solve stabilization problems, an approach based on the reduction to stationary systems of greater order is developed. Controllability is investigated and effective stabilization algorithms are constructed.