Skip to main content
SpringerLink
Log in

Families of three-dimensional axisymmetric periodic orbits in the restricted three-body problem: Sun-Jupiter case

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Families of three-dimensional axisymmetric periodic orbits are determined numerically in the Sun-Jupiter case of the restricted three-body problem. These families bifurcate from the ‘vertical-critical’ orbits (αv = 1,b v = 0) of the ‘basic’ plane familiesi andI. Further the predictor-corrector procedure employed to reveal these families has been described and interesting numerical results have been pointed out. Also, computer plots of the orbits of these families have been shown in conical projections.

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

  • Bray, T. A. and Goudas, C. L.: 1967, in Z. Kopal (ed.),Adv. Astron. Astrophys. Vol.5, pp. 72–130, Acad. Press, New York.

    Google Scholar 

  • Goudas, C. L.: 1961,Bull. Soc. Math. Grèce, Nouvelle Serie.,2, 1.

    Google Scholar 

  • Hadjidemetriou, J.: 1975,Celest. Mech. 12, 267.

    Google Scholar 

  • Hénon, M.: 1973,Astron. Astrophys. 28, 415.

    Google Scholar 

  • Hénon, M.: 1976,Celest. Mech. 13, 277.

    Google Scholar 

  • Kazantzis, P. G.: 1973, in B. D. Tapley and V. Szebehely (eds.)Recent Advances in Dynamical Astronomy, D. Reidel, Dordrecht, Holland.

    Google Scholar 

  • Kazantzis, P. G.: 1979a,Astrophys. Space Sci. (in press).

  • Kazantzis, P. G.: 1979b,Astrophys. Space Sci. (in press).

  • Kazantzis, P. G. and Goudas, C. L.: 1974,Astrophys. Space Sci. 30, 463.

    Google Scholar 

  • Kazantzis, P. G. and Goudas, C. L.: 1975,Astrophys. Space Sci. 32, 95.

    Google Scholar 

  • Kozai, Y. and Kinoshita, H.: 1973,Celest. Mech. 7, 156.

    Google Scholar 

  • Zagouras, C. G. and Kalogeropoulou, M.: 1978,Astron. Astrophys. Suppl. 32, 307.

    Google Scholar 

  • Zagouras, C. G. and Kazantzis, P. G.: 1979,Astrophys. Space Sci. (in press).

  • Zagouras, C. G. and Markellos, V. V.: 1977,Astron. Astrophys. 59, 79.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Astronomy, University of Glasgow, Scotland

    P. G. Kazantzis

Authors
  1. P. G. Kazantzis
    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

Kazantzis, P.G. Families of three-dimensional axisymmetric periodic orbits in the restricted three-body problem: Sun-Jupiter case. Astrophys Space Sci 61, 477–486 (1979). https://doi.org/10.1007/BF00640543

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00640543

Keywords

Search

Navigation