基于运动合成的小推力轨道优化方法

针对小推力轨道优化设计问题,提出一种基于运动合成的新方法。给出基于运动合成的小推力轨道机动表达方式,将小推力轨道运动分解成相对独立的三项:单独考虑日心引力的二体轨道运动,单独考虑小推力的运动,以及小推力的存在引起的日心引力摄动作用下的运动。分别给出各项运动的解析表达式,通过合成叠加得到小推力轨道的近似解析解。在此基础上,将小推力轨道优化问题转化成非线性规划问题,并利用序列二次规划方法求解。以小行星1989ML、火星和金星交会任务为例分别进行仿真实验,结果表明,所设计轨道满足任务约束,验证了该方法具有可用性和高效性。

A low-thrust trajectory optimization method based on motion synthesis

A novel method based on motion synthesis was proposed for low-thrust trajectory design and optimization. Firstly, the representation of the low-thrust trajectory was obtained by using the motion synthesis technique. In this representation, we decomposed the equations of motion into three independent motions and deduced the analytical expressions of the three motions separately. Then the approximate analytical expression of the low-thrust trajectory was obtained by the synthesizing of the three motions. Secondly, based on this representation, the original problem was converted into a nonlinear programming problem. Finally, the method was applied to three rendezvous missions: from the Earth to the asteroid 1989ML, to the Mars, and to the Venus. It is shown that the transfer orbits satisfy the mission constraints. Numeral results fully validate the availability and high efficiency of the method.