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Coorbital periodic orbits in the three body problem
dc.contributor.author | Cors Iglesias, Josep Maria |
dc.contributor.author | Hall, G.R. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2013-12-31T12:14:22Z |
dc.date.available | 2013-12-31T12:14:22Z |
dc.date.created | 2003-05 |
dc.date.issued | 2003-05 |
dc.identifier.citation | Cors, J.; Hall, G. Coorbital periodic orbits in the three body problem. "SIAM journal on applied mathematics", Maig 2003, vol. 2, núm. 2, p. 219-237. |
dc.identifier.issn | 0036-1399 |
dc.identifier.uri | http://hdl.handle.net/2117/21120 |
dc.description.abstract | We consider the dynamics of coorbital motion of two small moons about a large planet which have nearly circular orbits with almost equal radii. These moons avoid collision because they switch orbits during each close encounter. We approach the problem as a perturbation of decoupled Kepler problems as in Poincar ́ e’s periodic orbits of the first kind. The perturbation is large but only in a small region in the phase space. We discuss the relationship required among the small quantities (radial separation, mass, and minimum angular separation). Persistence of the orbits is discussed. |
dc.format.extent | 19 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 | Orbits |
dc.subject.other | coorbital motion |
dc.subject.other | periodic orbits of the first kind |
dc.subject.other | three body problem |
dc.title | Coorbital periodic orbits in the three body problem |
dc.type | Article |
dc.subject.lemac | Problema dels cossos múltiples |
dc.subject.lemac | Òrbites |
dc.identifier.doi | 10.1137/S1111111102411304 |
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://www.siam.org/journals/siads/2-2/41130.html |
dc.rights.access | Open Access |
local.identifier.drac | 1234786 |
dc.description.version | Postprint (published version) |
local.citation.author | Cors, J.; Hall, G. |
local.citation.publicationName | SIAM journal on applied mathematics |
local.citation.volume | 2 |
local.citation.number | 2 |
local.citation.startingPage | 219 |
local.citation.endingPage | 237 |
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