Title :
Comparison of LPM, GPM and RPM for optimization of low-thrust Earth-Mars rendezvous trajectories
Author :
Yukai Wang ; Yongsheng Zhu ; Xiuqiang Jiang ; Shuang Li
Author_Institution :
Coll. of Astronaut., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
Abstract :
The performance comparison is performed among Legendre (LPM), Gauss (GPM), and Radau (RPM) pseudospectral methods, which are utilized to optimize the low-thrust Earth-Mars rendezvous trajectories. In order to provide a fair comparison condition, a shape-based approach is implemented to provide equivalent initial guesses for all the next accurate optimization, and the SQP algorithm is used to solve the resulting nonlinear programming problem for each of the discretization. The behavior and performance of the three pseudospectral methods are compared on the mission of Earth-Mars Rendezvous in 2013.
Keywords :
Earth; Mars; quadratic programming; trajectory optimisation (aerospace); GPM; Gauss pseudospectral methods; LPM; Legendre pseudospectral methods; RPM; Radau pseudospectral methods; SQP algorithm; low-thrust Earth-Mars rendezvous trajectory optimization; nonlinear programming problem; sequential quadratic programming algorithm; shape-based approach; Approximation methods; Optimal control; Optimization; Polynomials; Space vehicles; Trajectory; Vectors;
Conference_Titel :
Guidance, Navigation and Control Conference (CGNCC), 2014 IEEE Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4799-4700-3
DOI :
10.1109/CGNCC.2014.7007555
