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.