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Astrodynamics 2023, 7(1): 51-67 https://doi.org/10.1007/s42064-022-0132-6
Research Article | Issue | Published: 29 March 2022

Resonant orbit search and stability analysis for elongated asteroids

Show Author's Information Yu-Hang Zhang1,2,  Ying-Jing Qian1,2( ),  Xu Li1,2,  Xiao-Dong Yang1,2
Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China
Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Beijing 100124, China
Keywords:
stability, elongated asteroid, dipole segment model, spin–orbit resonant orbits
Cite this article:
Zhang Y-H, Qian Y-J, Li X, et al. Resonant orbit search and stability analysis for elongated asteroids. Astrodynamics, 2023, 7(1): 51-67. https://doi.org/10.1007/s42064-022-0132-6
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Abstract Full text About this article

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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About this article

Resonant orbit search and stability analysis for elongated asteroids

Show Author's information Yu-Hang Zhang1,2, Ying-Jing Qian1,2( ), Xu Li1,2, Xiao-Dong Yang1,2
Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China
Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Beijing 100124, China

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.

Keywords: stability, elongated asteroid, dipole segment model, spin–orbit resonant orbits

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Publication history
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Acknowledgements

Publication history

Received: 30 September 2021
Accepted: 12 January 2022
Published: 29 March 2022
Issue date: March 2023

Copyright

© Tsinghua University Press 2022

Acknowledgements

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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