PROGRESS OF THREE-BODY ORBITAL DYNAMICS STUDY

Li Xiangyu; Qiao Dong; Cheng Yu

doi:10.6052/0459-1879-20-367

Volume 53 Issue 5

May 2021

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Li Xiangyu, Qiao Dong, Cheng Yu. PROGRESS OF THREE-BODY ORBITAL DYNAMICS STUDY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1223-1245. doi: 10.6052/0459-1879-20-367

Citation:

Li Xiangyu, Qiao Dong, Cheng Yu. PROGRESS OF THREE-BODY ORBITAL DYNAMICS STUDY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1223-1245. doi: 10.6052/0459-1879-20-367

Li Xiangyu, Qiao Dong, Cheng Yu. PROGRESS OF THREE-BODY ORBITAL DYNAMICS STUDY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1223-1245. doi: 10.6052/0459-1879-20-367

Citation:

Li Xiangyu, Qiao Dong, Cheng Yu. PROGRESS OF THREE-BODY ORBITAL DYNAMICS STUDY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1223-1245. doi: 10.6052/0459-1879-20-367

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PROGRESS OF THREE-BODY ORBITAL DYNAMICS STUDY

doi: 10.6052/0459-1879-20-367

School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Key Laboratory of Dynamics and Control of Flight Vehicle of Ministry of Education, Beijing 100081, China
Key Laboratory of Autonomous Navigation and Control for Deep Space Exploration of Ministry of Industry and Information Technology, Beijing 100081, China

Received Date: 2020-10-23
Publish Date: 2021-05-18

Abstract

Abstract

The orbital dynamics in the three-body system is a classical problem in the field of astrodynamics. It has rich theoretical and engineering significance, and have played an important role in the process of space activities extending from near-earth space to deep space. This paper reviews and summarizes the progress of the study of orbital dynamics in the three-body system. Combined with the development trend of deep space exploration in the future, the hotspots and challenges in the research of three-body orbital dynamics are prospected. First, the research background and significance of the three-body problem are surveyed, and the development of the dynamics model of the three-body system is briefly reviewed. Secondly, characteristics of the local motion near the equilibrium point in the three-body problem are systematically summarized. The analytical and numerical methods for periodic orbits are introduced. The latest development of quasi-periodic motion is discussed. Meanwhile, the characteristics and research progress of global periodic motions in the three-body system including resonance orbits, cycler trajectories, and free return orbits are summarized. Next, the research progress of the low-energy transfer and capture trajectory design in the three-body system is analyzed from two aspects of invariant manifold theory and weak stability boundary theory. Finally, the applications of orbital dynamics in the three-body system in formation flight and navigation constellation design are summarized. Several orbital dynamics and control problems in the design of landing trajectories for full lunar-surface coverage, the low thrust orbit optimization of the three-body system, and the utilization of non-linear equilibrium points in the three-body system are addressed for future study.
- three-body problem,
- orbital dynamics,
- periodic motion,
- capture trajectory,
- transfer trajectory

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References

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