Typical evolution of the eccentricities in simulations where the Laplace resonance and all the current resonances are preserved. Panel a: case A with λ₂ − 2λ₃ + ϖ₃ in libration; all the eccentricities rapidly settle to new low values. Panel b: case A with λ₂ − 2λ₃ + ϖ₃ in circulation; Callisto’s eccentricity increases slowly as it exits its resonance with Ganymede. Panel c: case B with λ₂ − 2λ₃ + ϖ₂ in libration; after an abrupt increase the eccentricities converge to new values.