Application minimal orbit intersection distance calculation to studying young asteroid pairs

Abstract

A method for calculating the minimum distance between two almost overlapping elliptical orbits is proposed. An expression is obtained for the longitude of the minimum distance point as a function of the orbital elements. Applications are considered of the method for determining the age of pairs of asteroids in close-by orbits.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

References

  1. Gronchi, G.: SIAM J. Sci. Comput. 24(1), 61 (2002)

    MathSciNet  Article  Google Scholar 

  2. Gronchi, G.: Celest. Mech. Dyn. Astron. 93, 295 (2005)

    ADS  Article  Google Scholar 

  3. Gronchi, G., Tommei, G., Milani, A.: In: Milani, A., et al. (eds.) Near Earth Objects, Our Celestial Neighbors: Opportunity and Risk. Proceedings IAU Symposium No. 236 (2006)

    Google Scholar 

  4. Kholshevnikov, K.V., Vassiliev, N.N.: Celest. Mech. Dyn. Astron. 75(2), 75 (1999)

    ADS  Article  Google Scholar 

  5. Kholshevnikov, K.V., Vassiliev, N.N.: Celest. Mech. Dyn. Astron. 89, 119–125 (2004)

    ADS  Article  Google Scholar 

  6. Kholshevnikov, K.V., Kokhirova, G.I., Babadzhanov, P.B., Khamroev, U.H.: Mon. Not. R. Astron. Soc. 462, 2275 (2016)

    ADS  Article  Google Scholar 

  7. Novakovic, B., Dell’Oro, A., Cellino, A., Knezevic, Z.: Mon. Not. R. Astron. Soc. 425, 338 (2012)

    ADS  Article  Google Scholar 

  8. Pravec, P., Vokrouhlicky, D.: Icarus 204, 580–588 (2009)

    ADS  Article  Google Scholar 

  9. Pravec, P., et al.: Nature 466, 1085 (2010)

    ADS  Article  Google Scholar 

  10. Pravec, P., et al.: Icarus 333, 429 (2019)

    ADS  Article  Google Scholar 

  11. Rosaev, A.E.: Proceeding of the Meteoroids 2001 Conference. Swedish Institute of Space Physics, Kiruna, Sweden (2001). 6–10 August, ESA SP-495,477

    Google Scholar 

  12. Rosaev, A.E., Plavalova, E.: Icarus 282, 326 (2017)

    ADS  Article  Google Scholar 

  13. Rozek, A., Breiter, S., Jopek, T.J.: Mon. Not. R. Astron. Soc. 412, 987–994 (2011)

    ADS  Google Scholar 

  14. Vokrouhlicky, D., Nesvorny, D.: Astron. J. 137, 111–117 (2009)

    ADS  Article  Google Scholar 

  15. Vokrouhlicky, D., et al.: Astron. J. 153, 270 (2017)

    ADS  Article  Google Scholar 

  16. Zizka, J., Galad, A., Vokrouhlicky, D., Pravec, P., Kusnirak, P., Hornoch, K.: Astron. Astrophys. 595, 20 (2016)

    ADS  Article  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to A. Rosaev.

Ethics declarations

Compliance with Ethical Standards

Conflict of Interest: The author declares to have no conflict of interest.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Rosaev, A. Application minimal orbit intersection distance calculation to studying young asteroid pairs. Astrophys Space Sci 364, 209 (2019). https://doi.org/10.1007/s10509-019-3693-y

Download citation

Keywords

  • Minimal orbital intersection distance
  • Asteroid families
  • Orbital evolution