Title :
Mars exploring trajectory optimization using Gauss Pseudo-spectral Method
Author :
Liu, Yue ; Qian, Yingjing ; Li, Jianqing ; Gao, Changsheng
Author_Institution :
Dept. of Astronaut. Eng., Harbin Inst. of Technol., Harbin, China
Abstract :
In this paper, we propose a method for Mars exploring trajectory optimization by the Gauss Pseudo-spectral Method (GPM). The Gauss Pseudo-spectral Method has advantages for solving the optimal control problems because it is not necessary to guess the initial value of the co-states and the method has relatively large radii of convergence. Therefore, it is robust to the initial value for iteration. The Mars exploring orbit is divided into two sections, the Earth escaping section and the Earth-Mars transferring section, and the two sections can be optimized respectively. During the optimization of the Gauss Pseudo-spectral Method, we choose the initial states, the terminal states of the Mars probe and the vector of the thrust at each Legendre-Gauss point (LG point) as the optimal variables. With an appropriate quantity of LG points computed in the GPM, we can get optimal trajectory from the circular orbit around Earth to Mars. According to the simulation results we could see that the optimization converges well and a rough guess can satisfy the convergence.
Keywords :
Earth orbit; Mars; aerospace control; celestial mechanics; convergence; optimal control; trajectory control; Earth escaping section; Earth-Mars transferring section; GPM; Gauss pseudospectral method; LG point; Legendre-Gauss point; Mars exploring orbit; Mars exploring trajectory optimization; Mars probe; circular orbit; convergence; optimal control problem; optimal trajectory; optimal variable; terminal states; thrust vector; Earth; Gravity; Mars; Optimization; Orbits; Probes; Trajectory; Gauss Pseudo-spectral Method; Mars exploring trajectory; Optimization;
Conference_Titel :
Mechatronics and Automation (ICMA), 2012 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4673-1275-2
DOI :
10.1109/ICMA.2012.6285716