On the controllability of regular satellite precessions in gravitational and magnetic fields

The controllability in problems of stabilization of regular precessions of a dynamically symmetric satellite, the center of mass of which moves in a circular orbit in the gravitational and magnetic fields of the Earth, are considered. The satellite is equipped with magnetic coils and an electrostatically charged screen. Control moments are formed due to the interaction of the satellite’s own magnetic moment and its charge with the Earth’s magnetic field.The motion equations of the satellite relative to the mass center allow for steady-state motions—regular precessions. The equations of motion linearized in the vicinity of regular precessions represent the linear time-varying differential systems due to the time dependence of the geomagnetic field induction. The controllability of the system has been studied, which is a necessary step in the correct construction of effective stabilization algorithms. A comparative analysis of the controllability conditions of systems was carried out in the case of joint use of control moments and in the case of using each type of control moments separately.