Skip to main content
Log in

Detecting Impact Orbits of Asteroids by Means of Representation of the Initial Confidence Region in the Form of a Sequence of Ellipsoidal Hypersurfaces

  • Published:
Russian Physics Journal Aims and scope

A method for detection of impact orbits of near-Earth asteroids is considered. The method uses splitting of initial confidence region into a sequence of ellipsoidal hypersurfaces corresponding to preset values of the confidence coefficient. The method uses parametric equations of confidence ellipsoid in the six-dimensional phase space. The method is tested for detecting impact orbits of potentially dangerous near-Earth asteroids 1994 WR12 and 2015 RN35 posing an impact threat to the Earth.

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.

Similar content being viewed by others

References

  1. A. P. Baturin, Izv. Vyssh. Uchebn. Zaved. Fiz., 54, No. 6/2, 103–109 (2011).

    Google Scholar 

  2. A. P. Baturin, Izv. Vyssh. Uchebn. Zaved. Fiz., 55, No. 10/2, 34–49 (2012).

    ADS  Google Scholar 

  3. A. P. Baturin, Izv. Vyssh. Uchebn. Zaved. Fiz., 57, No. 10/2, 82–87 (2014).

    Google Scholar 

  4. A. Milani, Serb. Astron. J., 172, 1–11 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  5. V. V. Ivashkin and K. A. Stikhno, Astron. Vestn., 43, No. 6, 502–516 (2009).

    Google Scholar 

  6. L. E. Bykova and T. Yu. Galushina, Cosmic Research, 48, No. 5, 409–416 (2010).

    Article  ADS  Google Scholar 

  7. V. A. Avdyushev, Izv. Vyssh. Uchebn. Zaved. Fiz., 55, No. 10/2, 5–10 (2012).

    Google Scholar 

  8. V. A. Avdyushev and T. Yu. Galushina, Astron. Vestn., 48, No. 4, 309–317 (2014).

    Google Scholar 

  9. I. N. Chuvashov and V. A. Avdyushev, Izv. Vyssh. Uchebn. Zaved. Fiz., 58, No. 10/2, 95–99 (2015).

    Google Scholar 

  10. B. A. Rozenfel’d, Multidimensional Spaces [in Russian], Nauka, Moscow (1966).

  11. A. M. Chernitsov, V. A. Tamarov, and V. A. Avdyushev, Izv. Vyssh. Uchebn. Zaved. Fiz., 50, No. 12/2, 33–43 (2007).

    ADS  Google Scholar 

  12. O. M. Syusina, A. M. Chernitsov, and V. A. Tamarov, Solar Syst. Res., 46, No. 3, 195–207 (2012).

    Article  ADS  Google Scholar 

  13. A. P. Baturin, Russ. Phys. J., 57, No. 9, 1230–1238 (2015).

    Article  Google Scholar 

  14. T. V. Bordovitsyna, Modern Numerical Methods in Problems of Celestial Mechanics [in Russian], Nauka, Moscow (1984).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. P. Baturin.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 145–150, October, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Baturin, A.P. Detecting Impact Orbits of Asteroids by Means of Representation of the Initial Confidence Region in the Form of a Sequence of Ellipsoidal Hypersurfaces. Russ Phys J 59, 1686–1692 (2017). https://doi.org/10.1007/s11182-017-0961-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-017-0961-6

Keywords

Navigation