Resonance in the motion of a geocentric satellite due to Poynting-Robertson drag

摘要

This paper focuses on resonance of the motion of a geocentric synchronous satellite under the effect of gravitational forces of the Sun-Earth system subject to Poynting Robertson (PR) drag. With the assumption that the two bodies (the Earth, the Sun) lie in an ecliptic plane and the third body (satellite) lie in the orbital plane, five resonance points results from commensurability between the average angular velocity of the Earth and the mean motion of satellite. The amplitude and time period of the oscillation have been determined here in different cases at the resonance points.