2026-04-13T13:37:41Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4627012026-03-13T10:19:48Zcom_2072_98col_2072_378192

00925njm 22002777a 4500 dc Álvarez Ramírez, Martha author Gasull, Armengol author Llibre, Jaume author 2022 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. Central configuration 5-body problem Equilateral pentagon On the equilateral pentagonal central configurations