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Evolution of Planetary Chaotic Zones in Planetesimal Disks

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Abstract

Extensive numerical experiments on the long-term dynamics of planetesimal disks with planets in systems of single stars have been carried out. The planetary chaotic zone clearing timescales \(T_{\mathrm{cl}}\) as a function of mass parameter \(\mu\) (planet–star mass ratio) have been determined numerically with a high accuracy separately for the outer and inner parts of the chaotic zone. Diffusional components \({\propto}\mu^{-6/7}\) and \({\propto}\mu^{-2}\) have been revealed in the dependence \(T_{\mathrm{cl}}(\mu)\). The results obtained are discussed and interpreted in light of existing analytical theories based on the mean motion resonance overlap criterion and in comparison with previous numerical approaches to the problem.

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ACKNOWLEDGMENTS

We are grateful to the referees for their useful remarks.

Funding

This work was supported by grant 075-15-2020-780 (N13.1902.21.0039) ‘‘Theoretical and Experimental Studies of the Formation and Evolution of Extrasolar Planetary Systems and the Characteristics of Exoplanets’’ of the Ministry of Science and Higher Education of the Russian Federation.

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Authors and Affiliations

  1. Crimean Astrophysical Observatory, Russian Academy of Sciences, 298409, Nauchny, Russia

    T. V. Demidova

  2. St. Petersburg State University, 198504, St. Petersburg, Russia

    I. I. Shevchenko

  3. Institute of Applied Astronomy, Russian Academy of Sciences, 191187, St. Petersburg, Russia

    I. I. Shevchenko

Authors
  1. T. V. Demidova
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  2. I. I. Shevchenko
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Correspondence to T. V. Demidova.

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Translated by V. Astakhov

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Demidova, T.V., Shevchenko, I.I. Evolution of Planetary Chaotic Zones in Planetesimal Disks. Astron. Lett. 47, 771–781 (2021). https://doi.org/10.1134/S1063773721110013

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  • DOI: https://doi.org/10.1134/S1063773721110013

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