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Fig. B.1

image

Level curves of the Hamiltonian function in the vicinity of resonance with ϕ4. The resonant angle is σ4 = ψ + ϕ4. Other terms are averaged and included up to the third order of their amplitudes (see Saillenfest et al. 2019). Each panel corresponds to a different value of the precession constant α. Equilibriumpoints (called Cassini states) are shown by black spots. The interior of the resonance is coloured red and the separatrix is shown with a thick red curve. The location and width of the resonance for continuous values of α can be seen in Fig. 5. In order to avoid being misled by coordinate singularities, Fig. B.2 shows the same level curves in a different set of coordinates.

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