Robust Planning Design for Geostationary Rendezvous Passive Safety with Solar Radiation Pressure

Optimal rendezvous trajectory design has always been a subject of great attention in the aerospace field, but the practical uncertainties have not been considered proposed by many current researches. In this study, a robust trajectory planning method for geostationary orbit (GEO) rendezvous is proposed by considering the uncertainties. As the prerequisite of optimal design, relative orbit dynamics considering the influence of solar radiation pressure (SRP) is analytically solved. The state uncertainties is derived, and the final rendezvous errors are obtained, which is defined as performance indices together with the total speed increase. Then a multi-objective optimization model is established. While considering passive safety, the constraints including pulse interval, final time, and maximum thrust limit are studied to examine the efficiency and feasibility of the proposed scheme. The non-dominated sorting genetic algorithm (NSGA-II) is used to solve the optimal solution set. Simulation results show that the method can obtain a feasible rendezvous trajectory that satisfies the state constraints while considering practical uncertainties.