Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances
This paper studies resonance motions of a tethered satellite system (TSS) in elliptical orbits. A perturbation analysis is carried out to obtain all possible resonance types and corresponding parameter relations, including internal resonances and parametrically excited resonances. Besides, a resonan...
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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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Series: | International Journal of Aerospace Engineering |
Online Access: | http://dx.doi.org/10.1155/2020/8844139 |
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author | Zhaojun Pang Zhonghua Du Chun Cheng Qingtao Wang |
author_facet | Zhaojun Pang Zhonghua Du Chun Cheng Qingtao Wang |
author_sort | Zhaojun Pang |
collection | DOAJ |
description | This paper studies resonance motions of a tethered satellite system (TSS) in elliptical orbits. A perturbation analysis is carried out to obtain all possible resonance types and corresponding parameter relations, including internal resonances and parametrically excited resonances. Besides, a resonance parametric domain is given to provide a reference for the parameter design of the system. The bifurcation behaviors of the system under resonances are studied numerically. The results show that resonant cases more easily enter chaotic motion than nonresonant cases. The extended time-delay autosynchronization (ETDAS) method is applied to stabilize the chaotic motion to a periodic one. Stability analysis shows that the stable domains become smaller in resonance cases than in the nonresonance case. Finally, it is shown that the large amplitudes of periodic solutions under resonances are the main reason why the system is difficult to control. |
format | Article |
id | doaj-art-ea4331672c1740379247c7249539c13f |
institution | Kabale University |
issn | 1687-5966 1687-5974 |
language | English |
publishDate | 2020-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Aerospace Engineering |
spelling | doaj-art-ea4331672c1740379247c7249539c13f2025-02-03T06:46:51ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742020-01-01202010.1155/2020/88441398844139Dynamics and Control of Tethered Satellite System in Elliptical Orbits under ResonancesZhaojun Pang0Zhonghua Du1Chun Cheng2Qingtao Wang3School of Mechanical Engineering, Institute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, ChinaMOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Ningbo 315211, ChinaSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaThis paper studies resonance motions of a tethered satellite system (TSS) in elliptical orbits. A perturbation analysis is carried out to obtain all possible resonance types and corresponding parameter relations, including internal resonances and parametrically excited resonances. Besides, a resonance parametric domain is given to provide a reference for the parameter design of the system. The bifurcation behaviors of the system under resonances are studied numerically. The results show that resonant cases more easily enter chaotic motion than nonresonant cases. The extended time-delay autosynchronization (ETDAS) method is applied to stabilize the chaotic motion to a periodic one. Stability analysis shows that the stable domains become smaller in resonance cases than in the nonresonance case. Finally, it is shown that the large amplitudes of periodic solutions under resonances are the main reason why the system is difficult to control.http://dx.doi.org/10.1155/2020/8844139 |
spellingShingle | Zhaojun Pang Zhonghua Du Chun Cheng Qingtao Wang Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances International Journal of Aerospace Engineering |
title | Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances |
title_full | Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances |
title_fullStr | Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances |
title_full_unstemmed | Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances |
title_short | Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances |
title_sort | dynamics and control of tethered satellite system in elliptical orbits under resonances |
url | http://dx.doi.org/10.1155/2020/8844139 |
work_keys_str_mv | AT zhaojunpang dynamicsandcontroloftetheredsatellitesysteminellipticalorbitsunderresonances AT zhonghuadu dynamicsandcontroloftetheredsatellitesysteminellipticalorbitsunderresonances AT chuncheng dynamicsandcontroloftetheredsatellitesysteminellipticalorbitsunderresonances AT qingtaowang dynamicsandcontroloftetheredsatellitesysteminellipticalorbitsunderresonances |