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math.DS2026
Marchal's family of periodic orbits. I: Stability of inclined co-orbital planetary systems
Alexandre Prieur, Philippe Robutel
At the Lagrange relative equilibrium of the three-body problem, for all values of the masses, the elliptic eigenvalues associated with vertical eigenvectors give rise to spatial qu…
math.DS2018
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…