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Medientyp: E-Artikel Titel: Tethered satellite systems: A challenge for mechanics and applied mathematics Beteiligte: Schwarzbart, Michael; Steindl, Alois; Steiner, Wolfgang; Troger, Hans; Wiedermann, Georg Erschienen: Wiley, 2009 Erschienen in: GAMM-Mitteilungen, 32 (2009) 1, Seite 105-120 Sprache: Englisch DOI: 10.1002/gamm.200910008 ISSN: 0936-7195; 1522-2608 Schlagwörter: Applied Mathematics ; General Physics and Astronomy ; General Materials Science Entstehung: Anmerkungen: Beschreibung: AbstractTethered satellite systems that is two or more satellites in orbit connected by thin long cables, pose a number of challenging problems in mechanics concerning modeling and derivation of the equations of motion and in applied mathematics, concerning the numerical simulation of their dynamics, deciding on stability of relative equilibria and the proof of chaotic dynamics. We also compare for the practically important process of deployment of one satellite from another satellite uncontrolled deployment with steered deployment, according to Pontrijagin's Maximum Principle. Related to the stability of relative equilibria, as example the Space elevator, which is a tethered system extending from the surface of the Earth beyond geostationary height, is considered (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)