On the central configurations of the n-body problem

Jaume Llibre

doi:10.21042/AMNS.2017.2.00042

On the central configurations of the n-body problem

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

Resumen

We present a brief survey on some classes of central conﬁgurations of the n-body problem. We put special emphasis on the central conﬁgurations of the 1+n-body problem also called the coorbital satellite problem, and on the nested central conﬁgurations formed by either regular n-gons, or regular polyhedra. We also present some conjectures.

Idioma original	Inglés
Páginas (desde-hasta)	0509-518
Número de páginas	10
Publicación	Applied Mathematics and Nonlinear Sciences
Volumen	2
N.º	2
DOI	https://doi.org/10.21042/AMNS.2017.2.00042
Estado	Aceptada en prensa - 2017

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10.21042/AMNS.2017.2.00042

https://ddd.uab.cat/record/222631

Algunos aspectos de la dinámica local y global de los sistemas dinámicos contínuos y discretos: Integrabilidad, Periodicidad y Bifurcaciones
Llibre Salo, J. (Principal Investigator), Torregrosa i Arús, J. (Investigador/a Principal 2), Buzzi, C. A. (Colaborador/a), Candido , M. R. (Colaborador/a), Carvalho, Y. R. (Colaborador/a), Caubergh , M. M. (Colaborador/a), Cornelio, J. L. (Colaborador/a), Cousillas, G. (Colaborador/a), Cufi Cabre, C. (Colaborador/a), Diz Pita, É. (Colaborador/a), Ferragut Amengual, A. M. (Colaborador/a), Ferragut Amengual, A. (Colaborador/a), Geyer, A. (Colaborador/a), Giacomini, H. J. (Colaborador/a), Gouveia, L. F. (Colaborador/a), Jiménez Ruíz, J. J. (Colaborador/a), Lembarki, F. (Colaborador/a), Martínez, Y. P. (Colaborador/a), Pérez González, S. (Colaborador/a), Ramírez, V. (Colaborador/a), Saleta Reig, O. (Colaborador/a), Sanchez Sanchez, I. (Colaborador/a), Santos, R. A. T. (Colaborador/a), Schlomiuk, D. (Colaborador/a), Valls Angles, C. (Colaborador/a), Vulpe, N. (Colaborador/a), Zhang, X. (Colaborador/a), da Cruz, L. P. C. (Colaborador/a), de Almedia Silva Menezes, L. (Colaborador/a), Artes Ferragud, J. C. (Investigador/a), Caubergh , M. M. (Investigador/a), Cima Mollet, A. M. (Investigador/a), Corbera Subirana, M. (Investigador/a), Cors Iglesias, J. M. (Investigador/a), Gasull Embid, A. (Investigador/a), Pantazi, C. (Investigador/a) & Soler Villanueva, J. (Investigador/a)
Ministerio de Economía y Competitividad (MINECO)
30/12/16 → 31/12/20
Proyecto: Proyectos y Ayudas de Investigación
Algunos aspectos de la dinamica global de los sistemas diferenciales: integrabilidad, soluciones periodicas y bifurcaciones
Llibre Salo, J. (Principal Investigator), Torregrosa i Arús, J. (Investigador/a Principal 2), Geyer , A. (Colaborador/a), Pérez González, S. (Colaborador/a), Artes Ferragud, J. C. (Investigador/a), Caubergh , M. M. (Investigador/a), Cima Mollet, A. M. (Investigador/a), Corbera Subirana, M. (Investigador/a), Cors Iglesias, J. M. (Investigador/a), Ferragut, A. (Investigador/a), Gasull Embid, A. (Investigador/a), Pantazi, C. (Investigador/a), Schlomiuk, D. (Investigador/a), Valls, C. (Investigador/a) & Vulpe, N. (Investigador/a)
Ministerio de Economía y Competitividad (MINECO)
1/01/14 → 31/12/17
Proyecto: Proyectos y Ayudas de Investigación

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title = "On the central configurations of the n-body problem",

abstract = "We present a brief survey on some classes of central conﬁgurations of the n-body problem. We put special emphasis on the central conﬁgurations of the 1+n-body problem also called the coorbital satellite problem, and on the nested central conﬁgurations formed by either regular n-gons, or regular polyhedra. We also present some conjectures.",

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KW - Central configuration

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DO - 10.21042/AMNS.2017.2.00042

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On the central configurations of the n-body problem

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Proyectos

Algunos aspectos de la dinámica local y global de los sistemas dinámicos contínuos y discretos: Integrabilidad, Periodicidad y Bifurcaciones

Algunos aspectos de la dinamica global de los sistemas diferenciales: integrabilidad, soluciones periodicas y bifurcaciones

Citar esto