Spin-stabilized satellite with three-stage active magnetic attitude control system

The angular motion of an axisymmetrical satellite equipped with the active magnetic attitude control system is considered. Dynamics of the satellite is analytically studied on the whole control loop consisting of a bundle of three successive algorithms. Those algorithms are as follows: nutation damping, spinning about the axis of symmetry, reorientation of the axis in the inertial space. In certain cases explicit solutions of the equations of motion are obtained. The results are verified by numerical simulation.