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Coorbital periodic orbits in the three body problem
Cors Iglesias, Josep Maria; Hall, G.R.
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
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.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística
Àrees temàtiques de la UPC::Enginyeria mecànica
Many-body problem
Orbits
coorbital motion
periodic orbits of the first kind
three body problem
Problema dels cossos múltiples
Òrbites
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
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