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Title:
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Central configurations of the planar coorbial satellite problem
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Author:
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Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC |
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Abstract:
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The final publication is available at Springer via http://dx.doi.org/10.1023/B:CELE.0000043569.25307.ab |
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Abstract:
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We study the planar central configurations of the 1 +n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2=n=4. Numerically, first we provide evidence that when n9 the only central configuration is the regular n-gon with the large mass in its barycenter, and second we provide also evidence of the existence of an axis of symmetry for every central configuration. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística
-Àrees temàtiques de la UPC::Enginyeria mecànica
-Many-body problem
-Celestial mechanics
-1 + n body problem
-contol configuration
-coorbital satellites
-Problema dels cossos múltiples
-Mecànica celest |
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Rights:
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Document type:
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Article - Submitted version
Article |
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