Perturbed Dynamics of the Lagrange Gyrostat

The attitude dynamics of the Lagrange gyrostat is considered. A dynamical analogy of the heavy Lagrange gyrostat and the magnetic Lagrange gyrostat satellite on a circle equatorial orbit in the geomagnetic field is shown. Analytical solutions for homoclinic and heteroclinic phase trajectories are obtained. Dynamical chaos is analyzed. The practical application of the Lagrange gyrostat in space flight dynamics is presented. The results of the paper can be especially applicable for small spacecraft and nanosatellites of space remote sensing constellations.