On the Stationary Rotational Motion Stabilization of an Axisymmetric Satellite in a Circular Orbit

Among the orientation systems of artificial satellites, the systems based on the use of gravitational torques acting on its rotational motion around the center of mass are widely used. The stability analysis and the stationary rotational motion stabilization of a satellite, the mass center of which moves in a circular orbit as well as the dynamics of these motions remain the subject of a number of studies although they have a classical character. In this paper, the stationary rotational motion stabilization problem of a satellite with measuring only the angular coordinates (without measuring their velocities) is solved. In this case, in contrast to the classical results, the motion stabilization is achieved in all angles by means of a bounded controller.