Skip to main content
Log in

Quasi-Tangency Points on the Orbits of a Small Body and a Planet at the Low-Velocity Encounter

  • Published:
Solar System Research Aims and scope Submit manuscript

Abstract

We propose a method for selecting a low-velocity encounter of a small body with a planet from the evolution of the orbital elements. Polar orbital coordinates of the quasi-tangency point on the orbit of a small body are determined. Rectangular heliocentric coordinates of the quasi-tangency point on the orbit of a planet are determined. An algorithm to search for low-velocity encounters in the evolution of the orbital elements of small bodies is described. The low-velocity encounter of comet 39P/Oterma with Jupiter is considered as an example.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Carusi, A. and Valsecchi, G.B., On the orbital evolution of short-period comets having low-velocity encounters with Jupiter, in Comparative Study of the Planets, Coradini, A. and Fulchignoni, M., Eds., Dordrecht: Reidel, 1982, pp. 131–148.

    Chapter  Google Scholar 

  • Carusi, A., Kresakova M., and Valsecchi, G.B., Perturbations by Jupiter of the particles ejected from Comet Lexell, Astron. Astrophys., 1982, no. 116, pp. 201–209.

    ADS  Google Scholar 

  • Emel’yanenko, N.Yu., Evolyutsiya elementov orbit korotkoperiodicheskikh komet (Evolution of Orbital Elements of the Short-Period Comets), Chelyabinsk: Yuzh.-Ural. Gos. Univ., 2009.

    Google Scholar 

  • Emel’yanenko, N.Yu., Temporary satellite capture of comets by Jupiter, Sol. Syst. Res., 2012, vol. 46, no. 3, pp. 181–194.

    Article  ADS  Google Scholar 

  • Emel’yanenko, N.Yu., Low-speed encounters as a result of specific orbital parameters of a small body, Sol. Syst. Res., 2015a, vol. 49, no. 6, pp. 398–403.

    Article  ADS  Google Scholar 

  • Emel’yanenko, N.Yu., Features of encounters of small bodies with planets, Sol. Syst. Res. 2015b, vol. 49, no. 6, pp. 404–408.

    Article  ADS  Google Scholar 

  • Emel’yanenko, N.Yu., Low-velocity proximity of comets with Saturn, Trudy mezhdunarodnoi konferentsii “V Bredikhinskie chteniya,” Zavolzhsk, Rossiya, 12–16 maya 2014 (Proc. Int. Conf. “V Bredikhin’s Readings,” Zavolzhsk, Russia, May 12–16, 2014), Sachkov, M.E., Kartashov, A.P., and Emel’yanenko, V.V., Eds., Moscow: Yanus-K, 2016, pp. 82–91.

  • Emel’yanenko, N.Yu. and Naroenkov, S.A., The proximity of the asteroid 2006 RH120 with the Earth, Ekol. Vestn. Nauch. Tsentrov Chernomorsk. Ekon. Sotrudn., 2013, vol. 2, no. 4, pp. 54–59.

    Google Scholar 

  • Kazimirchak-Polonskaya, E.I., The investigation of the proximity of comets with large planets, Tr. Inst. Teor. Astron., Akad. Nauk SSSR, 1961a, no. 7, pp. 3–18.

    Google Scholar 

  • Kazimirchak-Polonskaya, E.I., A review of studies of the close proximities of comets with Jupiter (1770–1960), Tr. Inst. Teor. Astron., Akad. Nauk SSSR, 1961b, no. 7, pp. 19–190.

    Google Scholar 

  • Kazimirchak-Polonskaya, E.I., The capture of comets by Jupiter and the regularities in the century evolution of comet orbits, in Astrometriya i nebesnaya mekhanika. Problema issledovaniya Vselennoi (Astrometry and Celestial Mechanics. Problems of Universe Study), Moscow: Nauka, 1978, no. 7, pp. 340–383.

    Google Scholar 

  • Subbotin, M.F., Vvedenie v teoreticheskuyu astronomiyu (Introduction to Theoretical Astronomy), Moscow: Nauka, 1968.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © N.Yu. Emel’yanenko, 2018, published in Astronomicheskii Vestnik, 2018, Vol. 52, No. 2, pp. 160–167.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Emel’yanenko, N.Y. Quasi-Tangency Points on the Orbits of a Small Body and a Planet at the Low-Velocity Encounter. Sol Syst Res 52, 146–152 (2018). https://doi.org/10.1134/S003809461802003X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S003809461802003X

Keywords

Navigation