Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)
Source: Celestial Mechanics and Dynamical Astronomy, Volume 108, Number 1, September 2010 , pp. 35-58(24)
Abstract:The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the Nesvorný-Morbidelli analytic model of three-body (three-orbit) mean-motion resonances (Jupiter-Saturn-asteroid). In particular, we investigate the diffusion along and 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 108 years.
Document Type: Research Article
Affiliations: 1: Universidade Cidade de São Paulo, São Paulo, Brazil, Email: email@example.com 2: Facultad de Ciencias Astronómicas y Geofísicas, Universidad Nacional de La Plata, La Plata, Argentina, Email: firstname.lastname@example.org 3: Instituto de Astronomia, Geofísica e Ciências Atmosféricas, Universidade de São Paulo, São Paulo, Brazil
Publication date: September 2010