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

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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.

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Acknowledgements

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

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Authors and Affiliations

  1. School of Astronomy and Space Science, Nanjing University, 163 Xianlin Ave., Qixia District, Nanjing, 210023, China

    Xi-Yun Hou & Jing-Lang Feng

  2. Institute of Space Environment and Astrodynamics, Nanjing University, 5 Xanxiu Cun, Gulou District, Nanjing, 210093, China

    Xi-Yun Hou & Jing-Lang Feng

  3. Key Laboratory of Modern Astronomy and Astrophysics, Ministry of Educuation, Nanjing, 210023, China

    Xi-Yun Hou

  4. Beijing Institute of Tracking and Telecommunication Technology, 26 Beiqing Road, Haidian District, Beijing, 100094, China

    Xiao-Sheng Xin

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  1. Xi-Yun Hou
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Correspondence to Xi-Yun Hou.

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Xi-Yun Hou received his Ph.D. degree in astronomy from Nanjing University, China, in 2008. Now he is a professor at the School of Astronomy and Space Science of Nanjing University. His research interests focus on topics related with celestial mechanics and astrodynamics. Currently, he is doing research related to asteroids, and libration points of the real Earth-Moon system.

Xiao-Sheng Xin received his Ph.D. degree in astronomy from Nanjing University, China, in 2017. He is currently a research assistant at Beijing Institute of Tracking and Telecommunications Technology. His research interests focus on astrodynamics such as orbital dynamics of spacecraft or natural bodies around asteroids, and statistical orbit determination such as the orbit determination around Earth-Moon collinear libration point.

Jing-Lang Feng received her Ph.D. degree in aerospace engineering from Delft University of Technology, the Netherlands, in 2016. She performed systematic study about orbital dynamics in the vicinity of contact binary asteroids, in terms of stability, frozen and periodic orbits, and resonances. Currently she is a postdoc at the Faculty of Astronomy and Space Sciences, Nanjing University, China. She studies the effects of solar radiation pressure on the long term evolution of orbital motion around asteroids, and uncertainty propagation and analysis in small body missions.

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Hou, XY., Xin, XS. & Feng, JL. Forced motions around triangular libration points by solar radiation pressure in a binary asteroid system. Astrodyn 4, 17–30 (2020). https://doi.org/10.1007/s42064-019-0060-2

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