Periodic solutions and stability of a tethered satellite system |
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| Affiliation: | 1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, China;2. China Shipbuilding Industry Corporation 760 Institute, China;1. Akkhraratchakumari Veterinary College, Walailak University, Thai Buri Tha Sala, Nakhon Si Thammarat, 80160, Thailand;2. Centre for One Health, Walailak University, Thai Buri Tha Sala, Nakhon Si Thammarat, 80160, Thailand;3. Laboratory of Veterinary Biomedicine, Mahidol University, Salaya, Puttamonthon, Nakhon Pathom, 73170, Thailand;4. Department of Clinical Science and Public Health, Faculty of Veterinary Science, Mahidol University, Salaya, Puttamonthon, Nakhon Pathom, 73170, Thailand;5. Department of Biomedical Engineering, Faculty of Engineer, Mahidol University, Salaya, Puttamonthon, Nakhon Pathom, 73170, Thailand;1. China Key Laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai 200444, China;2. State Key Laboratory of Cryptology, P.O. Box 5159, Beijing 100878, China;3. Center for Quantum Computing, Peng Cheng Laboratory, Shenzhen 518000, China;4. Departamento de Física Atómica, Molecular y Nuclear, Universidad de Sevilla, 41080 Sevilla, Spain;5. Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain;6. International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, 200444 Shanghai, China;7. State Key Laboratory of Cryptology, 100094 Beijing, China;8. IKERBASQUE, Basque Foundation for Science, María Díaz de Haro 3, 48013 Bilbao, Spain;1. Textile Department, Functional Fibrous Structures & Environmental Enhancement (FFSEE), Amirkabir University of Technology, Tehran, Iran;2. Textile Engineering, Chemistry and Science Department, North Carolina State University, Raleigh, NC, USA |
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| Abstract: | In this paper, several criteria on the existence of periodic solutions for a tethered satellite system (TSS) in an elliptical orbit, as well as the uniqueness of periodic solutions for the TSS in a circular orbit are presented on the basis of coincidence degree theory. In addition, the conditions on the global asymptotic stability of the equilibrium states for the TSS are also addressed in accordance with the Lyapunov stability theory and Barbashin–Krasovski theory. |
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