Journal of Deep Space Exploration >

2019 , Vol. 6 >Issue 5: 456 - 462

DOI: https://doi.org/10.15982/j.issn.2095-7777.2019.05.006

Topic: Science and Supporting Technology of Small-Boby Exploration

Study on Equilibrium and Stability of Binary Asteroid Systems

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  • 1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
    2. Key Laboratory of Autonomous Navigation and Control for Deep Space Exploration, Ministry of Industry and Information Technology, Beijing 100081, China

Received date: 01 Jul 2019

Revised date: 30 Jul 2019

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Abstract

The unique motion of binary asteroid systems provide important clues for the evolution of planets. Therefore, binary asteroid systems become hot targets in asteroid exploration. In this paper, based on the double ellipsoid model, the relative motion, equilibrium condition and stability of binary asteroid systems are studied. Firstly, the full two-body dynamic equation of the double ellipsoid model is established to describe the relative motion of a binary asteroid system. Secondly, the Lagrangian equation of motion is used to solve the angular momentum and energy of the system, and the equilibrium conditions are obtained. Finally, a method to determine the stability of equilibrium is given by using the zero-velocity state surface and the influence of the asteroid's physical parameter on the stability of equilibrium is analyzed. This research can provide a theoretical reference for the trajectory design and control in future exploration missions to binary asteroid systems.

Key words： binary asteroid systems; double ellipsoid model; equilibrium; stability

Cite this article

DU Yanru, LI Xiangyu, HAN Hongwei, QIAO Dong . Study on Equilibrium and Stability of Binary Asteroid Systems[J]. Journal of Deep Space Exploration, 2019 , 6(5) : 456 -462 . DOI: 10.15982/j.issn.2095-7777.2019.05.006

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