descriptionPublicationkeyboard_double_arrow_right Article 28 Feb 2018 English Publisher:Springer Science and Business Media LLCJournal:Journal of Dynamics and Differential Equations, volume 31, pages 711-718 (issn: 1040-7294, eissn: 1572-9222,

Authors: Lino Cornelio, J.; Álvarez Ramírez, Martha; Cors Iglesias, Josep Maria;

doi: 10.1007/s10884-018-9647-1

handle: 2117/116852

A Special Family of Stacked Central Configurations: Lagrange Plus Euler in One

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Abstract

We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m1 , m2 and m3 , ordered from left to right, are collinear and form an Euler central configuration, and the other two bodies m4 and m5 , together with m2 are at the vertices of an equilateral triangle and form a Lagrange central configuration.

Related Organizations

Universitat Polite`cnica de Catalunya
Spain
Autonomous University of Barcelona
Spain
Universidad Juárez Autónoma de Tabasco
Mexico
Universitat Politècnica de Catalunya
Spain

Keywords

Collinear central configurations, Àrees temàtiques de la UPC::Matemàtiques i estadística, Problema dels cossos múltiples, Laura-Andoyer equations, :Matemàtiques i estadística [Àrees temàtiques de la UPC], Central conﬁguration, Stacked central conﬁguration, \(n\)-body problems, Many-body problem, Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, Configurations, Equilateral central configuration, :Enginyeria mecànica [Àrees temàtiques de la UPC], collinear central configurations, Àrees temàtiques de la UPC::Enginyeria mecànica, Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics, :70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics [Classificació AMS], Planar 5-body problem, including celestial mechanics, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, equilateral central configuration

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