Journal article Open Access

An Optimization of Orbital Transfer for Spacecrafts with Finite-thrust Based on Legendre Pseudospectral Method

Yanan Yang; Zhigang Wang; Xiang Chen

This paper presents the use of Legendre pseudospectral method for the optimization of finite-thrust orbital transfer for spacecrafts. In order to get an accurate solution, the System-s dynamics equations were normalized through a dimensionless method. The Legendre pseudospectral method is based on interpolating functions on Legendre-Gauss-Lobatto (LGL) quadrature nodes. This is used to transform the optimal control problem into a constrained parameter optimization problem. The developed novel optimization algorithm can be used to solve similar optimization problems of spacecraft finite-thrust orbital transfer. The results of a numerical simulation verified the validity of the proposed optimization method. The simulation results reveal that pseudospectral optimization method is a promising method for real-time trajectory optimization and provides good accuracy and fast convergence.

Files (346.7 kB)
Name Size
346.7 kB Download


  • J. S. Hesthaven, S. Gottlieb and D. Gottlieb, Spectral methods for time-dependent problems, Cambridge University Press, 2007. ISBN 978-0-521-79211-0

  • Q. Gong, I. M. Ross, W. Kang and Fahroo, F., Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control, Computational Optimization and Applications, Springer Netherlands, published online: 31 October 2007, to appear in Journal, 2008.

  • Q. Gong, W. Kang and I. M. Ross, A Pseudospectral Method for The Optimal Control of Constrained Feedback Linearizable Systems, IEEE Trans. Auto. Cont., Vol.~51, No.~7, July 2006, pp.~1115-1129.

  • Qibo Peng "Finite-Thrust Trajectory Optimization Using a Combinationof Gauss Pseudospectral Method and Genetic Algorithm". (Chapter 4 of Genetic Algorithms in Applications Edited by Rustem Popa, ISBN 978-953-51-0400-1, hard cover, 328 pages, Publisher: In Tech, Published: March 21, 2012 under CC BY 3.0 license, in subject Artificial Intelligence DOI: 10.5772/2675.

All versions This version
Views 88
Downloads 11
Data volume 346.7 kB346.7 kB
Unique views 88
Unique downloads 11


Cite as