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Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/37846
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dc.creatorMarcelo Domingos Marchesinpt_BR
dc.date.accessioned2021-08-30T21:41:17Z-
dc.date.available2021-08-30T21:41:17Z-
dc.date.issued2019-09-
dc.citation.volume364pt_BR
dc.citation.issue9pt_BR
dc.citation.spage1pt_BR
dc.citation.epage12pt_BR
dc.identifier.doihttps://doi.org/10.1007/s10509-019-3648-3pt_BR
dc.identifier.issnISSN 1572-946X - Print ISSN 0004-640Xpt_BR
dc.identifier.urihttp://hdl.handle.net/1843/37846-
dc.description.resumoWe 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.pt_BR
dc.languageengpt_BR
dc.publisherUniversidade Federal de Minas Geraispt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentICX - DEPARTAMENTO DE MATEMÁTICApt_BR
dc.publisher.initialsUFMGpt_BR
dc.relation.ispartofAstrophysics and Space Sciencept_BR
dc.rightsAcesso Restritopt_BR
dc.subjectN-body problempt_BR
dc.subjectRelative equilibriapt_BR
dc.subjectCentral configurationpt_BR
dc.subject.otherProblema de muitos corpospt_BR
dc.subject.otherSimetria (Matemática)pt_BR
dc.subject.otherMecânica celestept_BR
dc.titleA family of three nested regular polygon central configurationspt_BR
dc.typeArtigo de Periódicopt_BR
dc.url.externahttps://link.springer.com/article/10.1007%2Fs10509-019-3648-3pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0001-5210-9153pt_BR
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