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Selected Problems of Classical and Modern Celestial Mechanics and Stellar Dynamics: II–Modern Studies

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Abstract

A review is given, in the modern context of applications, of the major important scientific results obtained by the scientists and graduates of St. Petersburg State University in the field of celestial mechanics and stellar dynamics. The second part of the review covers the following topics: estimates and calculation of the MOID parameter, problems of asteroid–comet hazard, dust complexes in the Solar System, rotational dynamics of planetary satellites, circumbinary dynamics, and methods for the discovery and determination of orbits of exoplanets.

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Fig. 1.
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Fig. 5.

Notes

  1. See also the section on the Kholshevnikov metrics in the first part of this review.

  2. The most up-to-date version can be obtained from http://sourceforge.net/projects/distlink.

  3. The algorithm implemented in (Baluev and Mikryukov, 2019) uses the Ruffini–Horner scheme to find the roots of a sixteenth-degree algebraic polynomial.

  4. It is easy to show (Mikryukov and Baluev, 2019) that σ is an optimal (attainable) estimate for the distance ρ. For example, at e1 = e2 = 0 we have ρ = σ. The question of the optimality of the estimate τ remains open. It is most likely (Mikryukov and Baluev, 2019) that τ is not an optimal estimate, i.e., at ρ > 0 we always have ρ > τ.

  5. To conduct their experiments, Mikryukov and Baluev used the MPCORB catalog published by the Minor Planet Center.

  6. See the NASA JPL website, http://ssd.jpl.nasa.gov/.

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ACKNOWLEDGMENTS

The authors are grateful to the reviewer for helpful remarks.

Funding

The work by D.V. Mikryukov and I.I. Shevchenko was supported by the Russian Science Foundation, project no. 22-22-00046.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    I. I. Shevchenko, V. B. Titov, R. V. Baluev, A. V. Veselova, A. V. Krivov, D. V. Mikryukov, D. V. Milanov, A. A. Mülläri, I. I. Nikiforov, N. P. Pit’ev, E. N. Polyakhova, L. L. Sokolov & V. Sh. Shaidulin

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

    I. I. Shevchenko

  3. Central (Pulkovo) Astronomical Observatory, Russian Academy of Sciences, St. Petersburg, Russia

    A. V. Mel’nikov

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  1. I. I. Shevchenko
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  2. A. V. Mel’nikov
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  3. V. B. Titov
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  4. R. V. Baluev
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  5. A. V. Veselova
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  6. A. V. Krivov
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  7. D. V. Mikryukov
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  8. D. V. Milanov
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  9. A. A. Mülläri
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  10. I. I. Nikiforov
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  11. N. P. Pit’ev
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  12. E. N. Polyakhova
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  13. L. L. Sokolov
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  14. V. Sh. Shaidulin
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Corresponding author

Correspondence to I. I. Shevchenko.

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Translated by A. Kobkova

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Shevchenko, I.I., Mel’nikov, A.V., Titov, V.B. et al. Selected Problems of Classical and Modern Celestial Mechanics and Stellar Dynamics: II–Modern Studies. Sol Syst Res 57, 175–189 (2023). https://doi.org/10.1134/S0038094623020077

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  • DOI: https://doi.org/10.1134/S0038094623020077

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