同步双小行星系统共振轨道设计

研究了同步双小行星系统中共振轨道的设计方法及演化规律。首先，基于双椭球模型建立探测器运动方程，并给出共振轨道初值选取方法。然后，利用改进并行打靶法，提出一种双小行星系统平面共振轨道两步修正方法。同时结合稳定性理论及分岔理论，给出双小行星系统三维共振轨道生成和延拓方法；最后，以双小行星系统1999KW4为例，设计了共振比为1∶1,1∶2,1∶3,1∶4,2∶3的平面和空间共振轨道族，并分析了共振轨道的特性及轨道周期和轨道能量的变化规律。给出的双小行星系统中共振轨道的设计方法具有普适性，对未来双小行星系统探测任务中的轨道设计具有一定的参考意义与借鉴价值。

Design of Resonant Orbit in Synchronized Binary Asteroid System

 This paper studies the design method and evolution of the resonant orbits in the synchronized binary asteroid system. Firstly, based on the double ellipsoid model, the equation of motion in the binary asteroid system is established and the estimation of the initial value of the resonant orbits is given. Then, by using the improved parallel-shooting method, a two-step correction strategy is proposed to design the planar resonant orbits in the binary asteroid system. Based on the stability theory and bifurcation theory, the three-dimensional resonant orbit families are obtained. Finally, based on the method above, taken the binary asteroid system 1999KW4 as an example, the planar and three-dimensional resonant orbit families with the resonant ratios of 1∶1, 1∶2, 1∶3, 1∶4, 2∶3 are designed. The characteristics of the resonant orbits and evolution of the orbital periods and orbital energy are analyzed and summarized. The design method of the resonant orbit is applicable to different binary asteroid systems and can be taken as a reference for orbit design in future binary asteroid explorations.