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

We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m 1 , m 2 and m 3 , ordered from left to right, are collinear and form an Euler central configuration, and the other two bodies m 4 and m 5 , together with m 2 ar...

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Veröffentlicht in:Journal of dynamics and differential equations Jg. 31; H. 2; S. 711 - 718
Hauptverfasser: Cornelio, J. Lino, Álvarez-Ramírez, M., Cors, Josep M.
Format: Journal Article Verlag
Sprache:Englisch
Veröffentlicht: New York Springer US 01.06.2019
Springer Nature B.V
Schlagworte:
70 Mechanics of particles and systems
70F Dynamics of a system of particles, including celestial mechanics
Apexes
Applications of Mathematics
Classificació AMS
Collinear central configurations
Configurations
Enginyeria mecànica
Equilateral central configuration
Laura-Andoyer equations
Many-body problem
Matemàtiques i estadística
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Problema dels cossos múltiples
Àrees temàtiques de la UPC
Laura-Andoyer equations
Equilateral central configuration
Collinear central configurations
ISSN:1040-7294, 1572-9222
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Beschreibung
Zusammenfassung:We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m 1 , m 2 and m 3 , ordered from left to right, are collinear and form an Euler central configuration, and the other two bodies m 4 and m 5 , together with m 2 are at the vertices of an equilateral triangle and form a Lagrange central configuration.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1040-7294
1572-9222
DOI:10.1007/s10884-018-9647-1