Skip to main content
SpringerLink
Log in

The intermediate orbit of resonance asteroids of the Hecuba family constructed on the basis of solution of the internal variant of the generalized problem of the three fixed centres

  • Published:
Celestial mechanics Aims and scope Submit manuscript

Abstract

On the basis of the solution of the internal variant of the generalized problem of three fixed centres (taking as an example a minor planet of 108 Hecuba) an intermediate orbit of the resonance asteroids of the Hecuba family has been constructed. Comparison of the results obtained from the formulae with observations and also with the results of Isaeva (1976) showed that in investigating the motion of the celestial bodies it would be reasonable to use the orbits of the internal variant of the generalized problem of three fixed centres.

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

Access this article

Log in via an institution

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

  • Abalakin, V. K., Aksjonov, Eu. P., Grebenikov, Eu. A., Djomin, V. G., and Rjabov, Yu. A.: 1976,Spravochnoye rukovodstvo po nebesnoi mechanice i astrodinamice, ‘Nauka’, Moscow.

    Google Scholar 

  • Aksjonov, Eu. P.: 1977,Teoria dvizhenia iskusstvenych sputnikov Zemli, ‘Nauka’, Moscow.

    Google Scholar 

  • Arazov, G. T.: 1976,Astron. Zh. (USSR) 53, 639.

    Google Scholar 

  • Arazov, G. T. and Habibov, S. A.: 1977,Celest. Mech. 15, 265.

    Google Scholar 

  • Arazov, G. T.: 1977,Tzirkular ShAO, No. 59-60, 3.

    Google Scholar 

  • Grebenikov, Eu. A. and Rjabov, Yu. A.: 1971,Novye Kachestvennye metody v nebesnoi mechanike, ‘Nauka’, Moscow.

    Google Scholar 

  • Djomin, V. G.: 1968,Dvizhenia iskusstvenogo sputnika v necentralnom pole tjagotenja Zemli, ‘Nauka’, Moscow.

    Google Scholar 

  • Duboshin, G. N.: 1975,Nebesnaja mechanika, Osnovnye sadachi i metody, ‘Nayka’, Moskow.

    Google Scholar 

  • Karaganchu, V. Kh.: 1970,Postrojenie analiticheskoi teorii dvizhenia malych planet semeistva Gestii, Cand. diss., GAISH-MGU.

  • Kozlov, J. S.: 1975,Zadacha chetyroch nepodvishych centrev i prilozhenia, Doc. diss., Universitet Druzhby Narodov im. Lumumby, Moscow.

    Google Scholar 

  • Isaeva, F. I.: 1976,Chislenno-analiticheskaya teoria dvizhenia resonansnych asteroidov gruppy Hecubs, Cand. diss., GAISH-MGU.

  • Subbotin, M. F.: 1968,Vvedenie v teoreticheskuju astronomiju, ‘Nauka’, M-L.

Download references

Author information

Authors and Affiliations

  1. Shemakha Astrophysical Observatory of the Academy of Sciences of the Azerbaijan SSR, 373243, Shemakha, USSR

    G. T. Arazov & S. A. Gabibov

Authors
  1. G. T. Arazov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. A. Gabibov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arazov, G.T., Gabibov, S.A. The intermediate orbit of resonance asteroids of the Hecuba family constructed on the basis of solution of the internal variant of the generalized problem of the three fixed centres. Celestial Mechanics 20, 83–89 (1979). https://doi.org/10.1007/BF01236610

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236610

Keywords

Search

Navigation