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On the central configurations of the planar 1 + 3 body problem
Corbera, M.; Cors Iglesias, Josep Maria; Llibre Saló, Jaume
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
We consider the Newtonian 4 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 diferent 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.
Àrees temàtiques de la UPC::Enginyeria mecànica
Many-body problem
Celestial mechanics
Problema dels cossos múltiples
Mecànica celest
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics

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