Uniaxial Electrodynamical Stabilization of the Artificial Earth Satellite in the Orbital Coordinate System

Consideration was given to the Earth satellite moving along a circular arbitrarily inclined orbit. The possibility of using the electrodynamic control system for monoaxial stabilization of the satellite in an indirect position in the orbital coordinate system was analyzed. An extension of the concept of electrodynamic control including a solution of the problem of electrodynamic compensation of the perturbing moment was suggested. Conditions were established for solution of the formulated problem with the use of the electromagnetic control in the presence of perturbing action of the gravitational moment. Sufficient conditions for asymptotic stability of the satellite equilibrium were established for the nonlinear statement of problem.