The satellite with electric charge and the proper magnetic moment is under consideration. The charge center position and the proper magnetic moment are under control. The satellite’s attitude control system based on the influence of the Lorentz torque and the torque of magnetic interaction with the Earth’s magnetic field is used for the satellite’s stabilization in the orbital frame. The asymptotic stability of stabilized satellite motion is proved. At the same time the accurate preliminary analysis of the forces acting upon a satellite and the construction of thoroughly analyzed mathematical model of the problem is the urgent task for achievement the required stabilization accuracy. Therefore the software complex was designed for comprehensive analysis of problems concerning the satellite attitude dynamics in geophysical fields. The paper present the results obtained analytically and by the computer modeling.