Аннотация:We consider the stabilization of the relative equilibrium of a satellite moving in a circular orbit, which is equipped with a magnetic attitude-control system, taking into account aerodynamic moments. It is shown that the linearized system of equations of motion belongs to a special class of linear time-varuing systemsthat are reducible to time-invariant ones. The controllability of the system of both time-invariant and time-varuingsystems is investigated. The efficient optimal stabilization algorithm based on the reduced time-invariant systemis constructed. A detailed simulation is carried out that demonstrates the effect of aerodynamic moments.