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Families of three-dimensional axisymmetric periodic orbits in the restricted three-body problem: Sun-Jupiter case
Authors:P G Kazantzis
Institution:(1) Dept. of Astronomy, University of Glasgow, Scotland
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 lsquovertical-criticalrsquo orbits (agrv = 1,b v = 0) of the lsquobasicrsquo 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.
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