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Numerical determination of families of three-dimensional double-symmetric periodic orbits in the restricted three-body problem. I.

Sun-Jupiter case

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Abstract

New families of three-dimensional double-symmetric periodic orbits are determined numerically in the Sun-Jupiter case of the restricted three-body problem. These families bifurcate from the ‘vertical-critical’ orbits (α v = −1,c v ),c v=0) of the ‘basic’ plane familiesi,g 1,g 2,h,a,m andl. Further the numerical procedure employed in the determination of these families has been described and interesting results have been pointed out. Also, computer plots of the orbits of these families have been shown in conical projections.

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Kazantzis, P.G. Numerical determination of families of three-dimensional double-symmetric periodic orbits in the restricted three-body problem. I.. Astrophys Space Sci 65, 493–513 (1979). https://doi.org/10.1007/BF00648513

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  • DOI: https://doi.org/10.1007/BF00648513

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