Chirikov Diffusion in the Asteroidal Three-Body Resonance (5,-2,-2)
Earth and Planetary Astrophysics
2010-09-21 v1 Chaotic Dynamics
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 years.
Keywords
Cite
@article{arxiv.1009.3558,
title = {Chirikov Diffusion in the Asteroidal Three-Body Resonance (5,-2,-2)},
author = {Fernando Cachucho and Pablo M. Cincotta and Sylvio Ferraz-Mello},
journal= {arXiv preprint arXiv:1009.3558},
year = {2010}
}
Comments
27 pages, 6 figures