dc.contributor.author
Álvarez Ramírez, Martha
dc.contributor.author
Gasull, Armengol
dc.contributor.author
Llibre, Jaume
dc.identifier
https://ddd.uab.cat/record/259916
dc.identifier
urn:10.1016/j.cnsns.2022.106511
dc.identifier
urn:oai:ddd.uab.cat:259916
dc.identifier
urn:scopus_id:85129718291
dc.identifier
urn:articleid:18787274v112a106511
dc.identifier
urn:gsduab:5505
dc.identifier
urn:oai:egreta.uab.cat:publications/def080de-6cc4-42bd-a593-fc2694c90d3f
dc.description.abstract
An equilateral pentagon is a polygon in the plane with five sides of equal length. In this paper we classify the central configurations of the 5-body problem having the five bodies at the vertices of an equilateral pentagon with an axis of symmetry. We prove that there are two unique classes of such equilateral pentagons providing central configurations, one concave equilateral pentagon and one convex equilateral pentagon, the regular one. A key point of our proof is the use of rational parameterizations to transform the corresponding equations, which involve square roots, into polynomial equations.
dc.format
application/pdf
dc.relation
Agencia Estatal de Investigación PID2019-104658GB-I00
dc.relation
European Commission 777911
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Communications in nonlinear science and numerical simulation ; Vol. 112 (September 2022), art. 106511
dc.rights
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Central configuration
dc.subject
5-body problem
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Equilateral pentagon
dc.title
On the equilateral pentagonal central configurations
