Title:
|
A special family of stacked central configurations: Lagrange plus Euler in one
|
Author:
|
Lino Cornelio, J.; Alvarez Ramírez, Martha; Cors Iglesias, Josep Maria
|
Other authors:
|
Universitat Politècnica de Catalunya. Departament de Matemàtiques |
Abstract:
|
This is a post-peer-review, pre-copyedit version of an article published in Journal of dynamics and differential equations. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10884-018-9647-1 |
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. |
Abstract:
|
Peer Reviewed |
Subject(s):
|
-Àrees temàtiques de la UPC::Matemàtiques i estadística -Àrees temàtiques de la UPC::Enginyeria mecànica -Many-body problem -Configurations -Collinear central configurations -Equilateral central configuration -Laura-Andoyer equations -Problema dels cossos múltiples -Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics |
Rights:
|
|
Document type:
|
Article - Submitted version Article |
Share:
|
|