Trapezoid central configurations

We classify all planar four–body central configurations where two pairs of the bodies are on parallel lines. Using cartesian coordinates, we show that the set of four–body trapezoid central configurations with positive masses forms a two–dimensional surface where two symmetric families, the rhombus...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 346; pp. 127 - 142
Main Authors:	Corbera, Montserrat, Cors, Josep M., Llibre, Jaume, Pérez-Chavela, Ernesto
Format:	Journal Article Publication
Language:	English
Published:	Elsevier Inc 01.04.2019
Subjects:	37 Dynamical systems and ergodic theory 37N Applications 4-body problem 70 Mechanics of particles and systems 70F Dynamics of a system of particles, including celestial mechanics Classificació AMS Configurations Convex central configurations Enginyeria mecànica Many-body problem Matemàtiques i estadística Problema dels cossos múltiples Trapezoidal central configurartions Àrees temàtiques de la UPC 4-body problem 70F10 Convex central configurations 70F15 37N05 Trapezoidal central configurartions
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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