On the central configurations of the planar 1 + 3 body problem |
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| Authors: | Montserrat Corbera Josep Maria Cors Jaume Llibre |
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| Institution: | 1.Departament de Tecnologies Digitals i de la Informació,Universitat de Vic,Vic, Barcelona,Spain;2.Matemàtica Aplicada III,Universitat Politècnica de Catalunya,Manresa, Barcelona,Spain;3.Departament de Matemàtiques,Universitat Autònoma de Barcelona, Bellaterra,Barcelona,Spain |
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| Abstract: | We consider the Newtonian four-body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different
classes of central configurations depending on the mutual distances between the infinitesimal masses. Both classes exhibit
symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, with the help of extended precision
arithmetics, we provide evidence that the number of central configurations varies from five to seven. |
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