Abstract
Two new families of three-dimensional simple-symmetric periodic orbits are determined numerically in the Sun-Jupiter case of the restricted three-body problem. These families emanate from the ‘vertical-critical’ orbits (αv = 1,c v = 0)of the familiesi andl of plane symmetric simpleperiodic orbits direct around the Sun and the Sun-Jupiter respectively. Further, the numerical technique 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. Families of three-dimensional plane-symmetric periodic orbits in the restricted three-body problem: Sun-Jupiter case. Astrophys Space Sci 61, 357–367 (1979). https://doi.org/10.1007/BF00640537
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DOI: https://doi.org/10.1007/BF00640537