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

Author
Corbera, M.; Cors, J.; Llibre, J.
Type of activity
Journal article
Journal
Celestial mechanics and dynamical astronomy
Date of publication
2011
Volume
109
Number
1
First page
27
Last page
43
DOI
https://doi.org/10.1007/s10569-010-9316-0 Open in new window
Repository
http://hdl.handle.net/2117/12326 Open in new window
Abstract
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...
Citation
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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