Fast Optimization of Impulsive Perturbed Orbit Rendezvous with Finite Iterations

Abstract

A novel fast multi-impulse optimization method for long-duration perturbed orbit rendezvous is proposed. First, based on the analytically estimated impulses, the terminal rendezvous deviation with precise dynamics model can be predicted. Then, an analytical correction to the impulses using the deviations of orbit elements can be calculated based on the analytical J2 perturbed dynamics equation of a circular orbit. The iteration process repeating prediction and correction is then designed to quickly obtain a precise solution and trajectory. The simulation results proved that the iteration method adapts well to the analytical dynamics and high-precision dynamics. The deviation could always converge within five iterations.