On Practical Stability Regions for the Motion of a Small Particle Close to the Equilateral Points of the Real Earth-Moon System

Physics

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Scientific paper

This is a summary of a preliminary study on the existence of stability regions near the equilateral libration points of the real Earth-Moon system (here, by "real" Solar system we refer to the model defined by the ephemeris DE406 from JPL). We start from a model that takes into account the main effects coming from Earth, Moon and Sun to locate regions where trajectories are confined for long time intervals. Then, these regions are checked against a numerical integration that takes into account the real motion of Earth, Sun and the planets. This shows the existence of regions such that any initial condition inside them produces a trajectory that remains there for at least 1000 years.

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