标题：Direct optimization of low-thrust transfers using averaging techniques based on fourier series expansion
作者：Wei, Pan ;Changhou, Lu
作者机构：[Wei, Pan ;Changhou, Lu ] School of Mechanical Engineering, Shandong University, Jinan, 250061, China
会议名称：4th International Joint Conference on Computational Sciences and Optimization, CSO 2011
会议日期：15 April 2011 through 19 April 2011
来源：Proceedings - 4th International Joint Conference on Computational Sciences and Optimization, CSO 2011
关键词：Direct method; Fourier series; Low thrust; Orbital averaging; Orbital transfer
摘要：Low-thrust transfers in the central gravitational field involve a large number of orbital revolutions, which poses a real challenge to trajectory optimization. This article uses an orbital averaging technique based on Fourier series Expansion to describe the trajectory dynamics: the low-thrust profile is transformed in Fourier space; and secular dynamics equations are represented as functions of these thrust Fourier coefficients. The Chebyshev pseudospectral and the Sequence Quadratic Planning method are used to convert the optimal low-thrust transfer problem to a parameter optimization one and obtain the optimal control solutions. Maximum inclination transfer problem for the low-thrust vehicle in arbitrary elliptic Earth orbits is presented, and it shows that the direct method using averaging techniques based on Fourier series Expansion can determine the low-thrust optimal control solutions accurately and reduce computational requirements significantly. © 2011 IEEE.