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Four-body co-circular central configurations
dc.contributor.author | Cors Iglesias, Josep Maria |
dc.contributor.author | Roberts, Gareth E. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2014-01-02T10:56:30Z |
dc.date.available | 2014-01-02T10:56:30Z |
dc.date.created | 2012-02 |
dc.date.issued | 2012-02 |
dc.identifier.citation | Cors, J.; Roberts, G. Four-body co-circular central configurations. "Nonlinearity", Febrer 2012, vol. 25, núm. 2, p. 343-370. |
dc.identifier.issn | 0951-7715 |
dc.identifier.uri | http://hdl.handle.net/2117/21123 |
dc.description.abstract | We classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with positive masses is a two-dimensional surface, a graph over two of the exterior side-lengths. Two symmetric families, the kite and isosceles trapezoid, are investigated extensively. We also prove that a co-circular central configuration requires a specific ordering of the masses and find explicit bounds on the mutual distances. In contrast to the general four-body case, we show that if any two masses of a four-body co-circular central configuration are equal, then the configuration has a line of symmetry. |
dc.format.extent | 28 p. |
dc.language.iso | eng |
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 | Celestial mechanics |
dc.subject.other | Convex central configurations |
dc.subject.other | Relative equilibria |
dc.title | Four-body co-circular central configurations |
dc.type | Article |
dc.subject.lemac | Problema dels cossos múltiples |
dc.subject.lemac | Mecànica celest |
dc.identifier.doi | 10.1088/0951-7715/25/2/343 |
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.relation.publisherversion | http://iopscience.iop.org/0951-7715/25/2/343/ |
dc.rights.access | Open Access |
local.identifier.drac | 9842575 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Cors, J.; Roberts, G. |
local.citation.publicationName | Nonlinearity |
local.citation.volume | 25 |
local.citation.number | 2 |
local.citation.startingPage | 343 |
local.citation.endingPage | 370 |
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