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math-ph2018
Sharp Nekhoroshev estimates for the three body problem around periodic orbits
Santiago Barbieri, Laurent Niederman
We construct a Nekhoroshev-like result of stability with sharp constants for the planar three body problem, both in the planetary and in the restricted circular case, by using the…
math.DS2018★ 13 cited
On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits
Laurent Niederman, Alexandre Pousse, Philippe Robutel
Janus and Epimetheus are two moons of Saturn with very peculiar motions. As they orbit around Saturn on quasi-coplanar and quasi-circular trajectories whose radii are only 50 km ap…