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

Computer Science – Graphics

Scientific paper

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Jupiter (Planet), Orbital Mechanics, Solar Orbits, Three Body Problem, Three Dimensional Motion, Computer Graphics, Mathematical Models, Orbit Calculation, Periodic Functions, Sun, Trajectory Analysis, X-Y Plotters

Scientific paper

Two 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 of the families i and l of plane symmetric simple-periodic direct orbits around the sun and the sun-Jupiter system, 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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