Analytical Solution of a Super Low Satellite Orbit Disturbed by Atmospheric Drag Considering J2 Perturbation

In this paper, considering J
₂
perturbation, we derive the analytical solution of a satellite orbit disturbed by atmospheric drag. The model of atmosphere density considering J
₂
perturbation and atmosphere drag is first developed. Then the Gaussian equations of satellite motion are simplified, the atmospheric drag is expanded to triangular functions of orbit angular elements and the disturbances are separated into three parts: short-periodic terms, long-periodic terms and secular effects. The integrations are carried out to get the analytical solution and some important conclusions are obtained. The numerical simulation is carried out to make the work clearer and prove it.