Jupiter swing-by trajectories passing near the Earth

Mathematics

Scientific paper

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Earth (Planet), Interplanetary Transfer Orbits, Jupiter (Planet), Planetary Orbits, Spacecraft Trajectories, Swingby Technique, Three Body Problem, Trajectories, Computerized Simulation, Graphs (Charts), Gravitational Effects, Mathematical Models, Perigees, Two Dimensional Models

Scientific paper

We study and classify the Swing-By maneuvers that use the planet Jupiter as the body for the close approach. Our goal is to simulate a large variety of initial conditions for these orbits and classify them according to the effects caused by the close approach in the orbit of the spacecraft. We use the well-known regularized (Lamaitre regularization) planar-restricted -circular-three-body problem as our model. We especially check which ones of those orbits have a passage near the Earth. This is very important, because only those orbits have potential use for transfers from the Earth. We show our results in letter-plots, where one letter describing the effects of the Swing-By is plotted in a two-dimensional graph that has in the horizontal axis the angle psi (the angle between the perigee vector and the Sun-Jupiter line) and in the vertical axis the Jacobian constant of the spacecraft. We make one plot for each value of the perigee distance (the distance between the spacecraft and Jupiter during the close encounter).

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