Abstract
In the case of the 2:1 and 3:2 resonances with Jupiter, it has not been yet possible to have a complete identification of all chaotic diffusion processes at work, mainly because the time scale of some of them are of an order still out of the reach of precise integrations. A planar Hadjidemetriou's mapping, using expansions valid for high eccentricities and scaled in order to accelerate the diffusion processes, was derived. The solutions obtained with the mapping show huge eccentricity variations in all orbits starting in the middle of the 2:I resonance, when the main short-period perturbations of Jupiter's orbit are considered. The solutions starting in the middle of the 3:2 resonance do not show any important diffusion.
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Ferraz-Mello, S. A symplectic mapping approach to the study of the stochasticity in asteroidal resonances. Celestial Mech Dyn Astr 65, 421–437 (1996). https://doi.org/10.1007/BF00049505
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DOI: https://doi.org/10.1007/BF00049505