相较传统的被动式交会而言，空间合作交会往往能显著地减少总燃料消耗量。为求解编队卫星最小连续推力合作交会飞行轨迹，首先分别求出双星独立交会至原点处的双脉冲解；然后以推力幅值为延拓变量，逐步减小推力幅值，将双脉冲解最终延拓至最小推力解；最后利用得到的两组最小推力解直接优化出最小连续推力合作交会解。该方法通过建立双脉冲轨道与最小推力轨道之间的延拓关系，并使用双脉冲解作为协态变量初始猜测值，从而较为平滑地得到了满足最小连续推力最优控制一阶必要条件的合作交会解，同时避免了最优控制问题中协态变量的随机猜测。仿真结果验证了所提出方法的有效性。%Compared with traditional passive rendezvous,cooperative rendezvous can usually decrease the total fuel consumption remark-ably. In order to obtain the minimum-thrust cooperative rendezvous trajectory between formation satellites,firstly,a two-impulse solution which ensures rendezvous to the origin is solved respectively. Then the thrust amplitude which is the continuation variable is decreased gradually and the minimum-thrust amplitude is ultimately deprived from the two-impulse solution. At last,the minimum-thrust coopera-tive rendezvous orbit can be optimized directly. By establishing the continuation relationship between the two-impulse orbit and the mini-mum-thrust one and taking the two-impulse solution as the initial guess values of costate variables,the proposed method smoothly ob-tains the minimum-thrust cooperative rendezvous solution that satisfies the necessary conditions in the optimal control and the costate var-iables in the optimal control problem are no longer acquired randomly. Simulation results show the effectiveness of the proposed ap-proach.
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