On the existence of central configurations of p nested n-gons

Montserrat Corbera; Joaquin Delgado; Jaume Llibre

doi:10.1007/s12346-010-0004-y

On the existence of central configurations of p nested n-gons

Montserrat Corbera, Joaquin Delgado, Jaume Llibre

Departament de Matemàtiques

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Resum

In this paper we prove the existence of central configurations of the pnbody problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different. © Birkhäuser/Springer Basel AG 2010.

Idioma original	Anglès
Pàgines (de-a)	255-265
Revista	Qualitative Theory of Dynamical Systems
Volum	8
Número	2
DOIs	https://doi.org/10.1007/s12346-010-0004-y
Estat de la publicació	Publicada - 1 de gen. 2009

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10.1007/s12346-010-0004-y

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title = "On the existence of central configurations of p nested n-gons",

abstract = "In this paper we prove the existence of central configurations of the pnbody problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different. {\textcopyright} Birkh{\"a}user/Springer Basel AG 2010.",

keywords = "Nested regular n-gons, Planar central configurations",

author = "Montserrat Corbera and Joaquin Delgado and Jaume Llibre",

year = "2009",

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doi = "10.1007/s12346-010-0004-y",

language = "English",

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journal = "Qualitative Theory of Dynamical Systems",

issn = "1575-5460",

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T1 - On the existence of central configurations of p nested n-gons

AU - Corbera, Montserrat

AU - Delgado, Joaquin

AU - Llibre, Jaume

PY - 2009/1/1

Y1 - 2009/1/1

N2 - In this paper we prove the existence of central configurations of the pnbody problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different. © Birkhäuser/Springer Basel AG 2010.

AB - In this paper we prove the existence of central configurations of the pnbody problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different. © Birkhäuser/Springer Basel AG 2010.

KW - Nested regular n-gons

KW - Planar central configurations

U2 - 10.1007/s12346-010-0004-y

DO - 10.1007/s12346-010-0004-y

M3 - Article

SN - 1575-5460

VL - 8

SP - 255

EP - 265

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

IS - 2

ER -

On the existence of central configurations of p nested n-gons

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