自动化学报2016，Vol.42Issue(11)：1641-1647,7.DOI:10.16383/j.aas.2016.c150859
基于傅里叶级数的小推力航天器快速轨迹设计
Rapid Design of Low-thrust Rendezvous Tra jectory with Fourier Series
摘要
Abstract
Trajectory design with low-thrust propulsion needs a method for quickly approximating the spacecraft0s trajectory during the preliminary stage phase. To address this requirement, a 3D rendezvous trajectory design model is proposed based on the shape-based theory, by which the trajectory design problem is simplified into solving the coefficients of Fourier series. In the process of solving coefficients, thrust constraint is considered, and the existence conditions of the coefficients are qualitatively analyzed. Finally, the correctness and feasibility of this approach are verified through a numerical example. Results show that the proposed method can not only satisfy the boundary conditions and thrust constraint, but also has a good computational efficiency. Its computation time is only 0.67% of that of the Gauss pseudospectral method.关键词
快速性/小推力/轨迹设计/推力限制/傅里叶级数/航天器Key words
Quickly approximating/low-thrust/tra jectory design/thrust constraint/Fourier serious/spacecraft引用本文复制引用
曾奎,耿云海,陈炳龙..基于傅里叶级数的小推力航天器快速轨迹设计[J].自动化学报,2016,42(11):1641-1647,7.基金项目
国家自然科学基金(61473096)资助Supported by National Natural Science Foundation of China (61473096) （61473096）
