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

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

2010-09-18

arxiv.org/abs/1009.3558v1

Celest Mech Dyn Astron 108:35-58 (2010)

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

27 pages, 6 figures

Scientific paper

10.1007/s10569-010-9290-6

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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