dc.contributor.author
Alvarez-Ramírez, M.
dc.contributor.author
Gasull, A.
dc.contributor.author
Llibre, J.
dc.date.accessioned
2023-06-19T09:23:41Z
dc.date.accessioned
2024-09-19T14:25:36Z
dc.date.available
2023-06-19T09:23:41Z
dc.date.available
2024-09-19T14:25:36Z
dc.date.issued
2022-09-01
dc.identifier.uri
http://hdl.handle.net/2072/535412
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. © 2022 Elsevier B.V.
eng
dc.description.sponsorship
The first author is partially supported by the grant Sistemas Hamiltonianos, Mecánica y Geometría from the PAPDI2021 CBI-UAMI . The second author is partially supported by the grant Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D ( CEX2020-001084-M ). The last two authors are partially by the Agencia Estatal de Investigación grant PID2019-104658GB-I00 , and the H2020 European Research Council grant MSCA-RISE-2017-777911 .
dc.format.extent
19 p.
cat
dc.publisher
Elsevier B.V.
cat
dc.relation.ispartof
Communications in Nonlinear Science and Numerical Simulation
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
5-body problem; Central configuration; Equilateral pentagon
cat
dc.title
On the equilateral pentagonal central configurations
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.1016/j.cnsns.2022.106511
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
