Orbit correction method for two-impulse rendezvous between non-coplanar elliptic orbits considering the J₂ perturbation

The influence of the earth oblateness J₂ perturbation on the time-fixed two-impulse rendezvous between non-coplanar elliptic orbits was investigated, and the corresponding orbit correction method was mainly studied. Based on the perturbation theory, the position error between the perturbed and unperturbed transfer orbits due to the J₂ perturbation was obtained through Encke's method, and then the control strategy by means of correcting the predictive arrival point was put forward to realize the correction of the transfer orbit. A lot of simulations were done to compare the position error before and after the correction, and the simulation results indicate that this method, which is simple and easy to be realized, is efficient to provide a significant increase in accuracy of rendezvous with the effect of J₂ perturbation included.