Stationary rotations of a satellite with damper in the gravitational field and their stability

The impact of internal dissipation on the rotational motion of a satellite in a central gravitational field is investigated. A satellite is modeled as a system of two solid bodies: shell and spherical damper. For a dynamically symmetric satellite in a circular orbit the stability of stationary rotations in dependence on values of damping factor and angular velocity of a satellite is analyzed.