中文摘要：

针对带推力约束的航天器三维空间机动轨道初始设计问题，提出了一种基于傅立叶级数展开的改进形状设计方法。首先，在柱坐标系下建立了航天器运动模型，并将基于傅立叶级数展开的形状方法推广到三维空间的机动轨道初始设计；然后，基于所得到的空间初始机动轨道，采用直接配点法进行了完整三维空间机动轨道的优化设计。仿真结果表明，提出的方法可以为带有任务约束的航天器三维空间机动轨道的优化设计提供更优的初始参数及其解析解，为空间机动轨道设计提供了新的方法。

英文摘要：

In order to design the spacecraft 3-D maneuvering trajectory with thrust constraints, an improved shape- based design method is proposed by using Fourier series （F-S） in this paper. Firstly, based on equations of spacecraft motion built in the cylindrical coordinate, the F-S shaping method is applied in the 3-D maneuvering trajectory design. Then, according to initial parameters provided by the F-S shaping method, the trajectory is optimized by using the direct collocation method. The simulation results demonstrate that the F-S shaping method can provide a good initial guess for the optimization solution in 3-D spacecraft maneuvering trajectory deign with mission constraints.