On nonlinear resonances in oscillations of charged satellite

A gravity oriented satellite´s motion in a Keplerian circular orbit is considered. The satellite performs librational motion near the gravitationally stable equilibrium position in the Earth´s magnetic and gravitational fields. The influence of disturbing Lorentz torque on the satellite attitude motion in resonance cases is discussed. The possible resonant combinations of the seconnd, third and fourth orders due to the disturbing Lorentz torque in the satellite attitude motion are revealed. Analytical and numerical investigation of satellite resonant nonlinear oscillations is performed.