METODOS Y APLICACIONES EN SISTEMAS HAMILTONIANOS

MTM2017-88137-C2-1-P

Nombre agencia financiadora Agencia Estatal de Investigación
Acrónimo agencia financiadora AEI
Programa Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia
Subprograma Subprograma Estatal de Generación de Conocimiento
Convocatoria Proyectos I+D
Año convocatoria 2017
Unidad de gestión Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016
Centro beneficiario UNIVERSIDAD PUBLICA DE NAVARRA
Identificador persistente http://dx.doi.org/10.13039/501100011033

Publicaciones

Found(s) 1 result(s)
Found(s) 1 page(s)

On co-orbital quasi-periodic motion in the three-body problem

Dipòsit Digital de Documents de la UAB
  • Cors Iglesias, Josep Maria|||0000-0002-9803-8490
  • Palacián, Jesus F.
  • Yanguas, Patricia
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.