Relative motion model of satellites formation flying base on the influence of the J2 perturbation

Cluster of formation flying satellites consists of several companion satellites that make relative motion to a central satellite. The trajectory of relative motion is ellipse with special properties. On secular flying of formation satellites, various perturbation factors may cause relative drifts to the satellites. J₂ perturbation has a great effect on the satellites formation flying. The article addresses a linearized relative motion equation. Considering the impact of the J₂ perturbation on secular drift of relative motion, An relative motion model of elliptical reference orbit is developed. The simulation results show that the equation can predict the relative motion of satellite formation flying precisely.