宇航学报 ›› 2019, Vol. 40 ›› Issue (9): 987-995.doi: 10.3873/j.issn.1000-1328.2019.09.002

• 飞行器设计与力学 • 上一篇    下一篇

同步双小行星系统共振轨道设计

杨雅迪,陈奇,李翔宇,乔栋   

  1. 1. 北京理工大学宇航学院,北京 100081; 2. 深空探测自主导航与控制工信部重点实验室,北京 100081
  • 收稿日期:2018-08-10 修回日期:2019-03-03 出版日期:2019-09-15 发布日期:2019-09-25
  • 基金资助:

    国家自然科学基金(11572038,11772050);长江学者奖励计划

Design of Resonant Orbit in Synchronized Binary Asteroid System

YANG Ya di, CHEN Qi, LI Xiang yu,QIAO Dong   

  1. 1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China; 2. Key Laboratory of Autonomous Navigation and Control for Deep Space Exploration, Beijing 100081, China
  • Received:2018-08-10 Revised:2019-03-03 Online:2019-09-15 Published:2019-09-25

摘要:

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。

关键词: 同步双小行星系统, 共振轨道, 延拓法, 分岔

Abstract:

 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.

Key words: Synchronized binary asteroid system, Resonant orbit, Continuation method, Bifurcation

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