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Type:	Artigo de Periódico
Title:	A family of three nested regular polygon central configurations
Authors:	Marcelo Domingos Marchesin
Abstract:	We prove the existence of a highly symmetric family of central configurations in which 16 non-negative masses move in concentric circular motions in p=3 rings of radii a1,a2,a3. On the first ring, there are four bodies of equal masses in a square configuration. On the second ring there are also four bodies of equal masses, each of which located on the bisectors of the angles formed by each pair of the position vectors of two consecutive bodies of the first ring. On the third ring, there are eight bodies of equal masses, each of which is located on the bisectors of the angles formed by each pair of position vectors of two consecutive bodies of the previous two rings. We study the inverse problem, i.e., given three positive radii a1,a2,a3 we determine the values of the corresponding non-negative masses m1, m2 and m3, for which the above described configuration is central. We present some particular interesting cases and study some geometrical features of such configurations. We end this paper proposing several lines of possible further generalizations.
Subject:	Problema de muitos corpos Simetria (Matemática) Mecânica celeste
language:	eng
metadata.dc.publisher.country:	Brasil
Publisher:	Universidade Federal de Minas Gerais
Publisher Initials:	UFMG
metadata.dc.publisher.department:	ICX - DEPARTAMENTO DE MATEMÁTICA
Rights:	Acesso Restrito
metadata.dc.identifier.doi:	https://doi.org/10.1007/s10509-019-3648-3
URI:	http://hdl.handle.net/1843/37846
Issue Date:	Sep-2019
metadata.dc.url.externa:	https://link.springer.com/article/10.1007%2Fs10509-019-3648-3
metadata.dc.relation.ispartof:	Astrophysics and Space Science
Appears in Collections:	Artigo de Periódico

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