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On co-orbital quasi-periodic motion in the three-body problem
dc.contributor.author | Cors Iglesias, Josep Maria |
dc.contributor.author | Palacián Subiela, Jesús Francisco |
dc.contributor.author | Yanguas Sayas, Patricia |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-05-15T08:36:15Z |
dc.date.available | 2019-05-15T08:36:15Z |
dc.date.issued | 2019-01-01 |
dc.identifier.citation | Cors, J.; Palacián, J.; Yanguas, P. On co-orbital quasi-periodic motion in the three-body problem. "SIAM journal on applied dynamical systems", 1 Gener 2019, vol. 18, núm. 1, p. 334-353. |
dc.identifier.issn | 1536-0040 |
dc.identifier.other | https://hdl.handle.net/2454/32505 |
dc.identifier.uri | http://hdl.handle.net/2117/132984 |
dc.description.abstract | Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM $4$-tori related to the co-orbital motion of two small moons about a large planet where the moons move in nearly circular orbits with almost equal radii. The approach is based on a combination of normal form and symplectic reduction theories and the application of a KAM theorem for high-order degenerate systems. To accomplish our results we need to expand the Hamiltonian of the three-body problem as a perturbation of two uncoupled Kepler problems. This approximation is valid in the region of phase space where co-orbital solutions occur. |
dc.format.extent | 20 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Three-body problem |
dc.subject.lcsh | Celestial mechanics |
dc.subject.other | Three-body problem |
dc.subject.other | Symplectic scaling |
dc.subject.other | Co-orbital regime |
dc.subject.other | 1:1 mean-motion resonance |
dc.subject.other | Normalization and reduction |
dc.subject.other | KAM theory for multiscale systems |
dc.subject.other | Quasi-periodic motion and invariant 4-tori |
dc.title | On co-orbital quasi-periodic motion in the three-body problem |
dc.type | Article |
dc.subject.lemac | Problema dels tres cossos |
dc.subject.lemac | Mecànica celest |
dc.identifier.doi | 10.1137/18M1190859 |
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::70 Mechanics of particles and systems::70K Nonlinear dynamics |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications |
dc.relation.publisherversion | https://epubs.siam.org/doi/10.1137/18M1190859 |
dc.rights.access | Open Access |
local.identifier.drac | 24251733 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Cors, J.; Palacián, J.; Yanguas, P. |
local.citation.publicationName | SIAM journal on applied dynamical systems |
local.citation.volume | 18 |
local.citation.number | 1 |
local.citation.startingPage | 334 |
local.citation.endingPage | 353 |
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