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Bifurcation of relative equilibria of the (1+3)-body problem

Autor
Corbera, M.; Cors, J.; Llibre, J.; Moeckel, R.
Tipus d'activitat
Article en revista
Revista
SIAM journal on mathematical analysis
Data de publicació
2015-04-02
Volum
47
Número
2
Pàgina inicial
1377
Pàgina final
1404
DOI
https://doi.org/10.1137/140978661 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/28007 Obrir en finestra nova
Resum
We study the relative equilibria of the limit case of the planar Newtonian 4-body problem when three masses tend to zero, the so-called (1+3)-body problem. Depending on the values of the infinitesimal masses the number of relative equilibria varies from ten to fourteen. Always six of these relative equilibria are convex and the others are concave. Each convex relative equilibrium of the (1+3)-body problem can be continued to a unique family of relative equilibria of the general 4-body problem wh...
Citació
Corbera, M. [et al.]. Bifurcation of relative equilibria of the (1+3)-body problem. "SIAM journal on mathematical analysis", 02 Abril 2015, vol. 47, núm. 2, p. 1377-1404.
Paraules clau
(1+n)-body problem, Celestial mechanics, Relative equilibria

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