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arXiv · 1009.3558

Chirikov Diffusion in the Asteroidal Three-Body Resonance (5,-2,-2)

Fernando Cachucho·Pablo M. Cincotta·Sylvio Ferraz-Mello
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Abstract

The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulations developed by Chirikov is applied to the Nesvorn\'{y}-Morbidelli analytic model of three-body (three-orbit) mean-motion resonances (Jupiter-Saturn-asteroid system). In particular, we investigate the diffusion \emph{along} and \emph{across} the separatrices of the (5,-2,-2) resonance of the (490) Veritas asteroidal family and their relationship to diffusion in semi-major axis and eccentricity. The estimations of diffusion were obtained using the Melnikov integral, a Hadjidemetriou-type sympletic map and numerical integrations for times up to $10^{8}$ years.

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Fernando Cachucho, Pablo M. Cincotta, Sylvio Ferraz-Mello. 2010-09-18. Chirikov Diffusion in the Asteroidal Three-Body Resonance (5,-2,-2). https://doi.org/10.1007/s10569-010-9290-6

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