Treffer: Four-body co-circular central configurations
Title:
Four-body co-circular central configurations
Authors:
Source:
Nonlinearity (Bristol. Print). 25(2):343-370
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 30 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Plans d'expériences et configurations, Designs and configurations, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Calcul 2 dimensions, Two-dimensional calculations, Cercle, Circle, Circulo, Configuration circulaire, Circular configuration, Configuración circular, Contraste, Contrast, Corps, Body, Cuerpo, Physique mathématique, Mathematical physics, Física matemática, Problème 4 corps, Four body problem, Problema 4 cuerpos, Relation ordre, Ordering, Relación orden, Surface, Superficie, Symétrie, Symmetry, Simetría, 05Bxx, Graphe, Graph
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Departament de Matematica Aplicada III, Universitat Politècnica de Catalunya, C. Jordi Girona, 31, 08034 Barcelona, Spain
Department of Mathematics and Computer Science, College of the Holy Cross, 1 College Street, Worcester, MA 01610, United States
Department of Mathematics and Computer Science, College of the Holy Cross, 1 College Street, Worcester, MA 01610, United States
ISSN:
0951-7715
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.25499522
Database:
PASCAL Archive
Weitere Informationen
We classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with positive masses is a two-dimensional surface, a graph over two of the exterior side-lengths. Two symmetric families, the kite and isosceles trapezoid, are investigated extensively. We also prove that a co-circular central configuration requires a specific ordering of the masses and find explicit bounds on the mutual distances. In contrast to the general four-body case, we show that if any two masses of a four-body co-circular central configuration are equal, then the configuration has a line of symmetry.