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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Main Authors: Zhaojun Pang, Zhonghua Du, Chun Cheng, Qingtao Wang
Format: Article
Language:English
Published: Wiley 2020-01-01
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.
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institution Kabale University
issn 1687-5966
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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
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AT zhonghuadu dynamicsandcontroloftetheredsatellitesysteminellipticalorbitsunderresonances
AT chuncheng dynamicsandcontroloftetheredsatellitesysteminellipticalorbitsunderresonances
AT qingtaowang dynamicsandcontroloftetheredsatellitesysteminellipticalorbitsunderresonances