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Title:
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A family of stacked central configurations in the planar five-body problem
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Author:
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Lino Cornelio, J.; Alvarez Ramírez, Martha; Cors Iglesias, Josep Maria
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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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The final publication is available at link.springer.com via http://dx.doi.org/10.1007/s10569-017-9782-8 |
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Abstract:
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We study planar central configurations of the five-body problem where three bodies, (Formula presented.) and (Formula presented.), are collinear and ordered from left to right, while the other two, (Formula presented.) and (Formula presented.), are placed symmetrically with respect to the line containing the three collinear bodies. We prove that when the collinear bodies form an Euler central configuration of the three-body problem with (Formula presented.), there exists a new family, missed by Gidea and Llibre (Celest Mech Dyn Astron 106:89–107, 2010), of stacked five-body central configuration where the segments (Formula presented.) and (Formula presented.) do not intersect. |
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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
-Celestial mechanics
-Central configurations
-Planar five-body problem
-Stacked central configurations
-Problema dels cossos múltiples
-Mecànica celest
-Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics |
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Rights:
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Document type:
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Article - Submitted version
Article |
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