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

Autor
Corbera, M.; Cors, J.; Llibre, J.
Tipus d'activitat
Article en revista
Revista
Celestial mechanics and dynamical astronomy
Data de publicació
2011
Volum
109
Número
1
Pàgina inicial
27
Pàgina final
43
DOI
https://doi.org/10.1007/s10569-010-9316-0 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/12326 Obrir en finestra nova
Resum
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...
Citació
Corbera, M.; Cors, J.; Llibre, J. On the central configurations of the planar 1 + 3 body problem. "Celestial mechanics and dynamical astronomy", 2011, vol. 109, núm. 1, p. 27-43.

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