We consider the problem of slow chaotic diffusion in a near-integrable three-dimensional hamiltonian system, in the context of the second fundamental model of resonance. Performing analytical estimates for a class of Melnikov integrals, we provide an upper bound for the rate of diffusion. Analytical estimates are based on the so-called stationary phase approximation. We apply our analysis to a problem arising in celestial mechanics: the first order (3:2) asteroidal mean motion resonance in the restricted elliptic three-body problem.
Semi-analytical estimates for the speed of diffusion in the second fundamental model of resonance: a Jeans-Landau-Teller approach
Monzani, Francesco
2020/2021
Abstract
We consider the problem of slow chaotic diffusion in a near-integrable three-dimensional hamiltonian system, in the context of the second fundamental model of resonance. Performing analytical estimates for a class of Melnikov integrals, we provide an upper bound for the rate of diffusion. Analytical estimates are based on the so-called stationary phase approximation. We apply our analysis to a problem arising in celestial mechanics: the first order (3:2) asteroidal mean motion resonance in the restricted elliptic three-body problem.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.12608/21445