The optimization method based on pseudo-spectral and SQP for the descending orbit of soft landing on asteroid

In this paper, the descending orbit for fuel efficient soft landing on asteroid is researched, and an optimization method based on pseudo-spectral and Sequential Quadratic Programming (SQP) is proposed. Firstly, a mathematical description of the problem for the descending orbit in fuel optimal soft landing has been established. Secondly, the application of the pseudo-spectral method which is used to disperse this optimization problem into a nonlinear programming problem is given. Finally, a SQP method for solving nonlinear programming problems is adopted. The simulation results show that this method is a real and effective.