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math.DS2011
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem
Jacques Fejoz, Marcel Guardia, Vadim Kaloshin +1
We study the dynamics of the restricted planar three-body problem near mean motion resonances, i.e. a resonance involving the Keplerian periods of the two lighter bodies revolving…
math.DS2011★ 11 cited
A proof of the invariant torus theorem of Kolmogorov
Jacques Féjoz
Kolmogorov's invariant torus theorem is proved using a simple fixed point theorem.