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Resonant orbit search and stability analysis for elongated asteroids

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Abstract

Periodic orbits are crucial in facilitating the understanding of the dynamical behavior of elongated asteroids. As a specific type of periodic orbit, resonant orbits can enrich the orbit design method of deep-space exploration missions. Herein, a dipole segment model for investigating the orbital dynamics of elongated asteroids is briefly introduced. A new numerical algorithm named the modified path searching method for identifying spin-orbit resonant orbits is proposed. Using the modified path searching and pseudo-arclength continuation methods, four spin-orbit resonant families for asteroid 2063 Bacchus are obtained. The distribution of eigenvalues and stability curves for the four resonant families are presented. In particular, some critical points corresponding to period-doubling and tangent bifurcations appear in the stability curves.

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Acknowledgements

This study was supported partially by the National Natural Science Foundation of China (Grant Nos. 11772009 and 12172013) and the Beijing Municipal Natural Science Foundation (Grant No. 1192002).

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Authors and Affiliations

  1. Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing, 100124, China

    Yu-Hang Zhang, Ying-Jing Qian, Xu Li & Xiao-Dong Yang

  2. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Beijing, 100124, China

    Yu-Hang Zhang, Ying-Jing Qian, Xu Li & Xiao-Dong Yang

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  1. Yu-Hang Zhang
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  2. Ying-Jing Qian
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  3. Xu Li
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  4. Xiao-Dong Yang
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Correspondence to Ying-Jing Qian.

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Declaration of competing interest

The authors have no competing interests to declare that are relevant to the content of this article.

Yu-Hang Zhang is a master student in Beijing University of Technology. He received his bachelor degree in industry design from North China Institute of Aerospace Engineering in 2018. His current research interest is astrodynamics. E-mail: 1411506497@qq.com.

Ying-Jing Qian is current an associate professor in Beijing University of Technology. She received her Ph.D. degree in aeronautical and astronautical science and technology from Harbin Institute of Technology, China, in 2013, and was a visiting scholar of Purdue University in 2010–2011. Her research interests are astrodynamics and interplanetary trajectory design. E-mail: candiceqyj@163.com

Xu Li is a master student in Beijing University of Technology. He received his bachelor degree in Beijing University of Technology in 2018. His current research interest is astrodynamics. E-mail: 18401658575@163.com.

Xiao-Dong Yang is the Distinguished Professor of dynamics and control in Beijing University of Technology. He received his Ph.D. degree in mechanics from Shanghai University, China, in 2004, and was a visiting scholar of Wilfred Laurier University in 2005–2006. His area of expertise is nonlinear vibrations and gyroscopic dynamics. E-mail: jxdyang@163.com.

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Zhang, YH., Qian, YJ., Li, X. et al. Resonant orbit search and stability analysis for elongated asteroids. Astrodyn 7, 51–67 (2023). https://doi.org/10.1007/s42064-022-0132-6

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  • DOI: https://doi.org/10.1007/s42064-022-0132-6

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