Astronomy and Astrophysics – Astronomy
Scientific paper
May 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006pobeo..80..173c&link_type=abstract
Publications of the Astronomical Observatory of Belgrade, Vol. 80, p. 173-177
Astronomy and Astrophysics
Astronomy
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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