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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★ 15 cited
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
Marcel Guardia, Tere M. Seara
In this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic…