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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Bibliographic Details
Published in:	Journal of dynamics and differential equations Vol. 31; no. 2; pp. 711 - 718
Main Authors:	Cornelio, J. Lino, Álvarez-Ramírez, M., Cors, Josep M.
Format:	Journal Article Publication
Language:	English
Published:	New York Springer US 01.06.2019 Springer Nature B.V
Subjects:	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
Online Access:	Get full text
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