Non-linear stability around the triangular libration points

Mathematics

Scientific paper

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Earth-Moon System, Lagrangian Equilibrium Points, Librational Motion, Motion Stability, Three Body Problem, Celestial Mechanics, Nonlinear Systems, Partitions (Mathematics)

Scientific paper

The configuration space around the triangular libration points in the
Earth-Moon system is partitioned according to the stability of the
motion. The regions around L4 and L5 are established where particles
placed with zero initial velocity will librate. The complexity of the
partitioning is revealed.

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