Electrodynamic Stabilization of the Programmed Rotation of an Earth Satellite in the Orbital Coordinate System

A satellite with an electrodynamic attitude control system is considered. The problem of stabilization of the programmed motion in which the axis of the satellite’s dynamic symmetry is stabilized along the local vertical, and the satellite rotates around this axis is solved. On the basis of the Lyapunov function method, sufficient conditions for asymptotic stability of the stabilized programmed motion in the presence of the perturbing gravitational torque are obtained. These conditions allow a rational choice of the coefficients of parametric control depending on the parameters of the satellite and its orbit.