Fully analytical kinetic model of resonance dynamics in the Solar system

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We propose a fractional kinetic equation to model the transport in eccentricity of objects in the mean motion resonances in the Elliptic Planar Restricted Three-Body Problem. Making use of the renormalization group formalism, we show how the fractional exponents and the diffusion coefficient can be estimated analytically, making use of the degeneracy of the problem. We apply our model to selected Mean Motion Resonances in the Solar System and explain some basic properties of transport in these resonances.

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