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Title:
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Classifying four-body convex central configurations
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Author:
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Corbera, Montserrat; Cors Iglesias, Josep Maria; Roberts, Gareth E.
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques |
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Abstract:
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This is a post-peer-review, pre-copyedit version of an article published in Celestial Mechanics and Dynamical Astronomy. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10569-019-9911-7. |
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Abstract:
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We classify the full set of convex central configurations in the Newtonian planar four-body problem. Particular attention is given to configurations possessing some type of symmetry or defining geometric property. Special cases considered include kite, trapezoidal, co-circular, equidiagonal, orthodiagonal, and bisecting-diagonal configurations. Good coordinates for describing the set are established. We use them to prove that the set of four-body convex central configurations with positive masses is three-dimensional, a graph over a domain D that is the union of elementary regions in R+3. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística
-Àrees temàtiques de la UPC::Enginyeria mecànica
-Many-body problem
-Configurations
-Central configuration
-n-Body problem
-Convex central configurations
-Problema dels cossos múltiples
-Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
-Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications |
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Rights:
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Document type:
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Article - Submitted version
Article |
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