Example of trajectories featuring an extreme phase effect. Left column: evolution of the obliquity, and right column: evolution of the resonant angle σ₃ = ψ + ϕ₃. The migration parameter is b = b₀. For each row, the parameter λ used corresponds to the tip of a spike in Fig. 9 (see labels), tuned at the 10⁻¹⁵ level. The pink area represents the interval occupied by the resonance once the separatrix appears. The blue curve shows the locationof the hyperbolic equilibrium point (Cassini state 4). The green point shows Saturn current location (at t = 0).