Chaotic diffusion in the Veritas family region

Astronomy and Astrophysics – Astronomy

Scientific paper

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Dynamical Astronomy, Minor Planets

Scientific paper

Veritas family region in the outer part of the asteroid main belt comprises a stochastic zone due to overlapping of the harmonics of (5, -2, -2) three-body resonance. Dynamics in the region is strongly chaotic and governed by a diffusion equation of the Fokker-Planck type. The mean squared displacement of an action-like variable grows linearly with time, at a rate given by the value of the diffusion coefficient. Thus, computing the diffusion coefficients, one can derive the diffusion rate and estimate the age of the family. We integrated the orbits of 100 clones for each object in the (5, -2, -2) region. For each orbit we obtained the time series for the proper elements, and the value of the diffusion coefficients in e and i. The values of the diffusion coefficients we found indicate a very short age for this family, in agreement with previous results based on different approaches.

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