Non-linear Planar Oscillation of a Satellite in Elliptical Orbit Under the Influence of External Forces of General Nature
The present work is devoted to the analysis of non-linear planar oscillation of a satellite launched in an elliptical orbit under the influence of external forces of general nature such as accretion and tidal effects etc. These forces are considered in the form of a frictional force and a periodic force. Throughout the discussion the Bogoliubov,Krylov and Mitropolsky(BKM) method has been used. The analysis regarding the stability of the stationary planar oscillation of a satellite 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. This discontinuity in the amplitude of oscillation may cause noticeable change in the orbital parameters of the satellite.
KeywordsGeneral Nature Cosmic Research Elliptical Orbit Resonance Curve Tidal Effect
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