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Astrodynamics 2020, 4(1): 17-30 https://doi.org/10.1007/s42064-019-0060-2
Research Article | Issue | Published: 16 August 2019

Forced motions around triangular libration points by solar radiation pressure in a binary asteroid system

Show Author's Information Xi-Yun Hou1,2,3( ),  Xiao-Sheng Xin4,  Jing-Lang Feng1,2
School of Astronomy and Space Science, Nanjing University, 163 Xianlin Ave., Qixia District, Nanjing 210023, China
Institute of Space Environment and Astrodynamics, Nanjing University, 5 Xanxiu Cun, Gulou District, Nanjing 210093, China
Key Laboratory of Modern Astronomy and Astrophysics, Ministry of Education, Nanjing 210023, China
Beijing Institute of Tracking and Telecommunication Technology, 26 Beiqing Road, Haidian District, Beijing 100094, China
Keywords:
stability, solar radiation pressure, binary asteroid system (BAS), forced periodic orbit
Cite this article:
Hou X-Y, Xin X-S, Feng J-L. Forced motions around triangular libration points by solar radiation pressure in a binary asteroid system. Astrodynamics, 2020, 4(1): 17-30. https://doi.org/10.1007/s42064-019-0060-2
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Abstract Full text About this article

By using two tri-axial ellipsoids to approximate the two asteroids, forced orbits around triangular libration points of the binary asteroid system (BAS) induced by solar radiation pressure are studied. The work is firstly carried out in the doubly synchronous binary asteroid system (DSBAS). The results show that the amplitude of the forced periodic orbit can be large, even for small to moderate surface area-to-mass ratios of the spacecraft. The position, amplitude, and stability of these forced periodic orbits are influenced by the asteroids’ non-spherical terms. Also, the stability of them may be different, depending on the Sun’s motion direction w.r.t. to the BAS’s orbit motion direction. This study is then generalized to the asynchronous and synchronous BAS (ABAS and SBAS, respectively). The forced orbits in the complete system are quasi-periodic orbits around the forced periodic orbit of the averaged system.


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About this article

Forced motions around triangular libration points by solar radiation pressure in a binary asteroid system

Show Author's information Xi-Yun Hou1,2,3( ), Xiao-Sheng Xin4, Jing-Lang Feng1,2
School of Astronomy and Space Science, Nanjing University, 163 Xianlin Ave., Qixia District, Nanjing 210023, China
Institute of Space Environment and Astrodynamics, Nanjing University, 5 Xanxiu Cun, Gulou District, Nanjing 210093, China
Key Laboratory of Modern Astronomy and Astrophysics, Ministry of Education, Nanjing 210023, China
Beijing Institute of Tracking and Telecommunication Technology, 26 Beiqing Road, Haidian District, Beijing 100094, China

Abstract

By using two tri-axial ellipsoids to approximate the two asteroids, forced orbits around triangular libration points of the binary asteroid system (BAS) induced by solar radiation pressure are studied. The work is firstly carried out in the doubly synchronous binary asteroid system (DSBAS). The results show that the amplitude of the forced periodic orbit can be large, even for small to moderate surface area-to-mass ratios of the spacecraft. The position, amplitude, and stability of these forced periodic orbits are influenced by the asteroids’ non-spherical terms. Also, the stability of them may be different, depending on the Sun’s motion direction w.r.t. to the BAS’s orbit motion direction. This study is then generalized to the asynchronous and synchronous BAS (ABAS and SBAS, respectively). The forced orbits in the complete system are quasi-periodic orbits around the forced periodic orbit of the averaged system.

Keywords: stability, solar radiation pressure, binary asteroid system (BAS), forced periodic orbit

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Publication history
Copyright
Acknowledgements

Publication history

Received: 02 April 2019
Accepted: 10 April 2019
Published: 16 August 2019
Issue date: March 2020

Copyright

© Tsinghua University Press 2019

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11773017, 11673072).

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