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.
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.
Goudas, C. L.: 1961,Bull. Soc. Math. Grèce, Nouvelle Serie.,2, 1.
Hadjidemetriou, J.: 1975,Celest. Mech. 12, 267.
Hénon, M.: 1973,Astron. Astrophys. 28, 415.
Hénon, M.: 1976,Celest. Mech. 13, 277.
Kazantzis, P. G.: 1973, in B. D. Tapley and V. Szebehely (eds.)Recent Advances in Dynamical Astronomy, D. Reidel, Dordrecht, Holland.
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.
Kazantzis, P. G. and Goudas, C. L.: 1975,Astrophys. Space Sci. 32, 95.
Kozai, Y. and Kinoshita, H.: 1973,Celest. Mech. 7, 156.
Zagouras, C. G. and Kalogeropoulou, M.: 1978,Astron. Astrophys. Suppl. 32, 307.
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.
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00640543