Dynamical history of Ganymede and Callisto

The dynamical history of Galilean satellites has been studied several times in order to explain the capture into the laplacian resonance. None of them includes the influence of De Haerdtl's inequality 3:7 between Ganymede and Callisto. This study aims at exploring the role played by this great inequality in the recent past, when tidal effects made the system cross the resonance zone induced by these long-period terms. Thanks to a frequency analysis, we identified some arguments inducing stochastic layers and candidates to former resonances.