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On the central configurations of the planar 1 + 3 body problem
dc.contributor.author | Corbera, M. |
dc.contributor.author | Cors Iglesias, Josep Maria |
dc.contributor.author | Llibre Saló, Jaume |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2011-04-08T13:30:00Z |
dc.date.available | 2011-04-08T13:30:00Z |
dc.date.created | 2011 |
dc.date.issued | 2011 |
dc.identifier.citation | Corbera, M.; Cors, J.; Llibre, J. On the central configurations of the planar 1 + 3 body problem. "Celestial mechanics and dynamical astronomy", 2011, vol. 109, núm. 1, p. 27-43. |
dc.identifier.issn | 0923-2958 |
dc.identifier.uri | http://hdl.handle.net/2117/12326 |
dc.description.abstract | We consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two diferent classes of central configurations depending on the mutual distances between the infinitesimal masses. Both classes exhibit symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, with the help of extended precision arithmetics, we provide evidence that the number of central configurations varies from five to seven. |
dc.format.extent | 17 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Enginyeria mecànica |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Many-body problem |
dc.subject.lcsh | Celestial mechanics |
dc.title | On the central configurations of the planar 1 + 3 body problem |
dc.type | Article |
dc.subject.lemac | Problema dels cossos múltiples |
dc.subject.lemac | Mecànica celest |
dc.identifier.doi | 10.1007/s10569-010-9316-0 |
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://www.springerlink.com/index/3261634473N80L3P.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 4959928 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Corbera, M.; Cors, J.; Llibre, J. |
local.citation.publicationName | Celestial mechanics and dynamical astronomy |
local.citation.volume | 109 |
local.citation.number | 1 |
local.citation.startingPage | 27 |
local.citation.endingPage | 43 |
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