Abstract
It is shown that the vertical critical orbits of the general planar problem of three bodies can be used as starting points for finding monoparametric families of three-dimensional periodic orbits. Several numerical examples are given.
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References
Delibaltas, P.: 1976,Astrophys. Space Sci. 45, 000.
Hénon, M.: 1973,Astron. Astrophys. 28, 415.
Katopodis, K.: 1979,Celest. Mech. 19, 43.
Markellos, V. V.: 1977,Monthly Notices Roy. Astron. Soc. 180, 103.
Markellos, V. V. and Halioulias, A. A.: 1977,Astrophys. Space Sci. 46, 183.
Michalodimitrakis, M.: 1978,Astron. Astrophys. 64, 83.
Wintner, A.: 1941,The Analytical Foundations of Celestial Mechanics, Princeton Univ. Press, Princeton Univ. Press, Princeton, New Jersey, Section 323–326, pp. 370–374.
Zagouras, C.: 1977,Astrophys. Space Sci. 50, 383.
Zagouras, C. and Markellos, V.: 1977,Astron. Astrophys. 59, 79.
Zagouras, C. and Kalogeropoulou, M.: 1978, to be published inAstron. Astrophys.
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Michalodimitrakis, M. On the continuation of periodic orbits from the planar to the three-dimensional general three-body problem. Celestial Mechanics 19, 263–277 (1979). https://doi.org/10.1007/BF01230218
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DOI: https://doi.org/10.1007/BF01230218