Families of three-dimensional axisymmetric periodic orbits in the restricted three-body problem - Sun-Jupiter case

Computer Science – Graphics

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Computer Graphics, Jupiter (Planet), Orbital Mechanics, Solar Orbits, Three Body Problem, Three Dimensional Motion, Correction, Orbit Calculation, Periodic Variations, Position Errors, Prediction Analysis Techniques, Predictor-Corrector Methods, Projective Geometry, Trajectory Analysis

Scientific paper

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 of the 'basic' plane families i and l. 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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