Mostra el registre d'ítem simple
Trapezoid central configurations
dc.contributor.author | Corbera, Montserrat |
dc.contributor.author | Cors Iglesias, Josep Maria |
dc.contributor.author | Llibre Saló, Jaume |
dc.contributor.author | Perez Chavela, Ernesto |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2018-11-28T09:31:15Z |
dc.date.available | 2021-05-01T00:31:06Z |
dc.date.issued | 2019-04-01 |
dc.identifier.citation | Corbera, M., Cors, J., Llibre, J., E. P. Trapezoid central configurations. "Applied mathematics and computation", 1 Abril 2019, vol. 346, p. 127-142. |
dc.identifier.issn | 0096-3003 |
dc.identifier.other | https://arxiv.org/abs/1712.07155 |
dc.identifier.uri | http://hdl.handle.net/2117/125162 |
dc.description.abstract | We classify all planar four–body central configurations where two pairs of the bodies are on parallel lines. Using cartesian coordinates, we show that the set of four–body trapezoid central configurations with positive masses forms a two–dimensional surface where two symmetric families, the rhombus and isosceles trapezoid, are on its boundary. We also prove that, for a given position of the bodies, in some cases a specific order of the masses determines the geometry of the configuration, namely acute or obtuse trapezoid central configuration. We also prove the existence of non–symmetric trapezoid central configurations with two pairs of equal masses. |
dc.format.extent | 16 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject | Àrees temàtiques de la UPC::Enginyeria mecànica |
dc.subject.lcsh | Many-body problem |
dc.subject.lcsh | Configurations |
dc.subject.other | 4-body problem |
dc.subject.other | Convex central configurations |
dc.subject.other | Trapezoidal central configurartions |
dc.title | Trapezoid central configurations |
dc.type | Article |
dc.subject.lemac | Problema dels cossos múltiples |
dc.identifier.doi | 10.1016/j.amc.2018.10.066 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/abs/pii/S0096300318309329 |
dc.rights.access | Open Access |
local.identifier.drac | 23514441 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/777911/EU/Contributions to codimension k bifurcations in dynamical systems theory/Dynamics |
local.citation.author | Corbera, M.; Cors, J.; Llibre, J.; Pérez-Chavela, E. |
local.citation.publicationName | Applied mathematics and computation |
local.citation.volume | 346 |
local.citation.startingPage | 127 |
local.citation.endingPage | 142 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.269]