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On the central configurations of the planar 1 + 3 body problem

On the central configurations of the planar 1 + 3 body problem
 
Corbera Subirana, Montserrat ; Cors Iglesias, Josep Maria ; Llibre, Jaume
2011

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Enllaç permanent: http://hdl.handle.net/10854/3062
 
Versió de l'editor: https://doi.org/10.1007/s10569-010-9316-0
 

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 ...»»»»
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 nonsymmetric 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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Citation:

Corbera Subirana, M., Maria Cors, J., & Llibre, J. (2011). On the central configurations of the planar 1+3 body problem. Celestial Mechanics & Dynamical Astronomy, 109(1), 27-43. doi:10.1007/s10569-010-9316-0