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

fYear

2014

fDate

8-10 Aug. 2014

Firstpage

2461

Lastpage

2467

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Guidance, Navigation and Control Conference (CGNCC), 2014 IEEE Chinese

Conference_Location

Yantai

Print_ISBN

978-1-4799-4700-3

Type

conf

DOI

10.1109/CGNCC.2014.7007555

Filename

7007555