Chirikov Diffusion in the Asteroidal Three-Body Resonance (5,-2,-2)
Sep, 201027 pages
Published in:
- Celest.Mech.Dyn.Astron. 108 (2010) 35-58
e-Print:
- 1009.3558 [astro-ph.EP]
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Abstract: (arXiv)
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.Note:
- 27 pages, 6 figures
References(2)
Figures(6)