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On central configurations of the κn-body problem
- Source :
- UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Recercat. Dipósit de la Recerca de Catalunya, instname, Barrabés Vera, Esther Cors Iglesias, Josep Maria 2019 On central congurations of the (kn)-body problem Journal of Mathematical Analysis and Applications 476 2 720 736, © Journal of Mathematical Analysis and Applications, 2019, vol. 476, núm. 2, p. 720-736, Articles publicats (D-IMAE), DUGiDocs – Universitat de Girona, Articles publicats (D-IMA), Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
- Publication Year :
- 2019
-
Abstract
- We consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k , n)-crown. We derive the equations of central configurations for a general ( k, n)-crown. When k = 2 we prove the existence of a twisted (2, n)-crown for any value of the mass ratio. Moreover, for n = 3, 4 and any value of the mass ratio, we give the exact number of twisted (2, n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2; n)-crowns for n>=5 The authors are supported by MINECO grants MTM2016-80117-P and MTM2016-77278-P (FEDER) and Catalan (AGAUR) grants 2017 SGR 1374 and 2017 SGR 1617
- Subjects :
- Problema dels cossos múltiples
Orbits
Twisted central configurations
Computer Science::Digital Libraries
Many-body problem
Combinatorics
Mecànica celeste
Planar
Celestial mechanics
Newtonian fluid
N-body problem
Mathematics
Conjecture
Problema dels n cossos
Applied Mathematics
n-body problem
Matemàtiques i estadística [Àrees temàtiques de la UPC]
Mass ratio
Planar central configurations
Physics::Space Physics
Mecànica celest
70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics [Classificació AMS]
Value (mathematics)
Analysis
Òrbites
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Recercat. Dipósit de la Recerca de Catalunya, instname, Barrabés Vera, Esther Cors Iglesias, Josep Maria 2019 On central congurations of the (kn)-body problem Journal of Mathematical Analysis and Applications 476 2 720 736, © Journal of Mathematical Analysis and Applications, 2019, vol. 476, núm. 2, p. 720-736, Articles publicats (D-IMAE), DUGiDocs – Universitat de Girona, Articles publicats (D-IMA), Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
- Accession number :
- edsair.doi.dedup.....e5ffa555d39071ea0884d2150ae699f9