In this paper, the problem of resonance in a motion of a geocentric satellite is numerically investigated under the consolidated gravitational forces of the Sun, the Earth including Earth’s equatorial ellipticity parameter and Poynting-Robertson (P-R) drag. We are presuming that bodies lying on an ecliptic plane are the Sun and the Earth, and satellite on orbital plane. Resonance is monitored between satellite’s mean motion and average angular velocity of the Earth around the Sun, and also between satellite’s mean motion and equatorial ellipticity parameter of the Earth. We also perform a systematic and thorough analysis in an attempt to understand the effect of Earth’s equatorial ellipticity parameter and P-R drag on time period and amplitude of oscillations at different critical points.
Kaur, Charanpreet; Sharma, Binay K.; and Yadav, Sushil
Resonance in the Motion of a Geocentric Satellite Due to Poynting-Robertson Drag and Equatorial Ellipticity of the Earth,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
1, Article 29.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss1/29