Research of Asteroid Landing Trajectory Optimization Based on Gauss Pseudo-Spectral Method

An asteroid landing trajectory optimization method is studied based on Gauss Pseudo-spectral. Firstly, we analyze the characteristics of probe landing on asteroid, and put forward the initial conditions, process constraints, terminal constraints and the optimization performance index. The probe´s landing trajectory optimization should meet the index. Secondly, Gauss Pseudo-spectral Method is used to disperse the optimal control problem into a nonlinear programming problem. Finally, SQP algorithm solves the nonlinear programming problem. We present the landing trajectory from the hover point to just a fix-point with leveled thrust. Simulation results show that the methodology proposed in this paper has good robustness and convergence.