Convex symmetric rectangular pentagon central configurations
Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana (Mèxic). Departamento de Matemáticas)
Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas)
Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)

Date:	2024
Abstract:	A convex rectangular pentagon, also called house-shaped, is a pentagon with the added restriction that two non-adjacent sides have equal lengths, each of which forms a right angle with the intervening side. In this paper, we focus on the existence of central configurations of the 5-body problem, where the five bodies are in a symmetric house-shaped configuration. That is, when the five bodies are located at the vertices of a convex rectangular pentagon, and moreover, the body not belonging to the two parallel sides lies along the symmetry line.
Grants:	Agencia Estatal de Investigación PID2022-136613NB-I00 Agencia Estatal de Investigación PID2021-123968NB-I00
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.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Central configurations ; 5-body problem
Published in:	Communications in nonlinear science and numerical simulation, Vol. 138 (November 2024) , art. 108250, ISSN 1878-7274

DOI: 10.1016/j.cnsns.2024.108250

Available from: 2026-11-30 Postprint

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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