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Mean motion resonances [MMRs] play an important role in the formation andevolution of planetary systems and have significantly influenced the orbitalproperties and distribution of planets and minor planets in the solar system aswell as exo-planetary systems. Most previous theoretical analyses have focusedon the low-to-moderate eccentricity regime, but with new discoveries of higheccentricity resonant minor planets and even exoplanets, there is increasingmotivation to examine MMRs in the high eccentricity regime. Here we report on astudy of the high eccentricity regime of MMRs in the circular planar restrictedthree-body problem. Non-perturbative numerical analyses of the 2:1 and the 3:2interior resonances are carried out for a wide range of secondary-to-primarymass ratio, and for a wide range of eccentricity of the test particle. Thesurface-of-section technique is used to study the phase space structure nearresonances. We identify transitions in phase space at certain criticaleccentricities related to the geometry of resonant orbits; new stable librationzones appear at high eccentricity at libration centers shifted from those atlow eccentricities. We present novel results on the mass and eccentricitydependence of the resonance libration centers and their widths in semi-majoraxis. Our results show that MMRs have sizable libration zones at higheccentricities, comparable to those at lower eccentricities.

Mean motion resonances at high eccentricities: the 2:1 and the 3:2 interior resonances