Study of periodic motions of a satellite with a magnetic damper
Abstract
The motion of a satellite with a magnetic damper in the plane of a circular polar orbit is studied. The asymptotics of periodic solutions are constructed for a satellite close to axisymmetric and the radius of convergence is evaluated for the power series obtained. In a broad range of values of parameters, a periodic solution is obtained by numerical integration of equations of motion of the satellite. The asymptotics of a bifurcated curve obtained (the curve on which origin of a pair of periodic solutions occurs) in the space of the parameters agrees well with the results of numerical computation with all physical values of these parameters. A breakdown is made of the space of the initial data of phase variables in the field of effect of different types of periodic motion.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 August 1979
 Bibcode:
 1979STIN...8010273S
 Keywords:

 Damping;
 Magnetic Control;
 Periodic Variations;
 Satellite Perturbation;
 Spacecraft Motion;
 Asymptotic Series;
 Attitude Control;
 Equations Of Motion;
 Gravitation;
 Polar Orbits;
 Satellite Rotation;
 Launch Vehicles and Space Vehicles