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.
CitationCors, 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.
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