Аннотация:The stabilization of the regular precessions of a dynamically symmetric satellite, whose centerof mass moves in a circular orbit in the gravitational and magnetic fields of the Earth, is considered.Control moments are formed due to the interaction of the satellite’s own dipole moment with theEarth’s magnetic field. The equations of motion linearized in the vicinity of regular precessions arelinear nonstationary systems. To solve stabilization problems, an approach is proposed and developedbased on a reduction to stationary systems of orders greater than the initial system. The controllabilityis investigated and effective stabilization algorithms are constructed.Keywords: stabilization, regular precession, linear nonstationary system, reducibility, controllability,stabilization algorithmsDOI: 10.3103/S0025654421080136