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Central configurations of the planar 1+N body problem |
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| Authors: | Josefina Casasayas Jaume Llibre Ana Nunes |
| Institution: | (1) Department de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain;(2) Department de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, Spain;(3) Departmento de Física, Universidade de Lisboa, Campo Grande, C1, 1700 Lisboa, Portugal |
| Abstract: | In this paper, we give a new derivation of the equations for the central configurations of the 1+n body problem. In the case of equal masses, we show that forn large enough there exists only one solution. Our lower bound forn improves by several orders of magnitude the one previously found by Hall. |
| Keywords: | Central configurations N-body restricted problem |
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