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Bifurcation of relative equilibria of the (1+3)-body problem
Corbera, M.; Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Moeckel, Richard
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
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 when three of the masses are sufficiently small and every convex relative equilibrium for these masses belongs to one of these six families.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística
Àrees temàtiques de la UPC::Enginyeria mecànica
Many-body problem
Celestial mechanics
Celestial mechanics
Relative equilibria
(1+n)-body problem
Problema dels cossos múltiples
Mecànica celest
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
info:eu-repo/semantics/publishedVersion
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