Resonance in the Motion of a Geocentric Satellite due to Poynting-Robertson Drag

The problem of resonance in a geocentric Satellite under the combined gravitational forces of the Sun and the Earth due to Poynting-Robertson (P-R) drag has been discussed in this paper with the assumption that all three bodies, the Earth, the Sun and the Satellite, lie in an ecliptic plane. Our approach differs from conventional ones as we have placed evaluated velocity of the Satellite in equations of motion.We observed five resonance points commensurable between the mean motion of the Satellite and the average angular velocity of the Earth around the Sun, out of which two resonances occur only due to velocity dependent terms of P-R drag. Amplitudes and time periods are periodic with respect to the angle (angle between direction of vernal equinox and the direction of the Sun) which have been evaluated graphically in this paper.We have also found that amplitude as well as time-period decreases as orbital angle of the Earth around the Sun increases in the first quadrant