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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Podrobná bibliografie
Vydáno v:	Journal of dynamics and differential equations Ročník 31; číslo 2; s. 711 - 718
Hlavní autoři:	Cornelio, J. Lino, Álvarez-Ramírez, M., Cors, Josep M.
Médium:	Journal Article Publikace
Jazyk:	angličtina
Vydáno:	New York Springer US 01.06.2019 Springer Nature B.V
Témata:	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
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
Bibliografie:	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