Nonlinear planar oscillation of a satellite in circular orbit under the influence of magnetic torque. I.

Details Nonlinear planar oscillation of a satellite in circular orbit under the influence of magnetic torque. I. Nonlinear planar oscillation of a satellite in circular orbit under the influence of magnetic torque. I.

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ijpam..26.1225b&link_type=abstract

Indian J. Pure Appl. Math., Vol. 26, No. 12, p. 1225 - 1240

Mathematics

Artificial Satellites: Motions

Scientific paper

The rotational motion of a satellite in a circular orbit under the influence of magnetic torque is being studied. The present paper deals with the non-resonance and resonance cases. By using Melnikov's method, the authors have shown that the equation of motion is non-integrable. Taking the magnetic torque perturbation to be small (ɛ ≪ 1) and using BKM method, it is observed that the amplitude of the oscillation remains constant up to the second order of approximation. The main resonance has been shown to exist. The analysis regarding the stability near the resonance frequency shows that discontinuity occurs in the amplitude of the oscillation at a frequency of the external periodic force which is less than the frequency of the natural oscillation.

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