Orbital evolution of high area-to-mass ratio debris under the influence of radiation pressure and gravitational effects

Dynamical evolution of high area-to-mass ratio debris in high orbit (a > 10000km) is analyzed, especially the geosynchronous orbit. The analysis provides a formulation of eccentricity variation by Kozai's method. According to the formulation, for GEO debris with inclination bigger than the critical inclination (63°26'), large eccentricity during evolution can be caused just under the influence of third body gravity and J₂ term effect. And for debris with extremely high value of area-to-mass ratio, under the influence of radiation pressure and J₂ term, resonant phenomenon occurs when the secular rates of the direction of the eccentricity vector caused by J₂ term effect and the direction of the solar ecliptic longitude are close, and there is a relationship between the initial direction of the perigee and maximum value of the eccentricity during the evolution.