In this paper, we have investigated resonant curve due to frequencies − angular rate of rotation of the Earth and the rate of change of Earth’s equatorial ellipticity parameter. Perturbation equations are used to convert the non-linear equations of motion of geo-synchronous satellite to the linear form. With the help of graphs, we have shown the effect of Earth’s equatorial ellipticity parameter on oscillatory amplitude and variation in orbital radius of satellite. By defining different perturbations, we have also drawn resonant curve due to frequencies steady-state orbital angular rate of satellite and the rate of change of Earth’s equatorial ellipticity parameter. we have analyzed the undamped and unforced phase portrait and phase space by using the method of Poincare section. Finally, we have obtained energy integral and motion of the mean longitude for the geo-synchronous satellite in the set of axis rotating with Earth.
Yadav, Sushil; Kumar, Mukesh; and Kumar, Virendra
(R2033) Resonant Curve Due to Perturbations of Geo-Synchronous Satellite including Effect of Earth’s Equatorial Ellipticity,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 18,
1, Article 20.
Available at: https://digitalcommons.pvamu.edu/aam/vol18/iss1/20