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Fig. 6


Period of small oscillations about the resonance centre for a resonance with ϕ4 or ϕ19. Even though complete closed-form solutions exist (see Haponiak et al. 2020), the small-oscillation limit leads to handier formulas, suitable for order of magnitude estimates. The resonant angles are σ4 = ψ + ϕ4 and σ19 = ψ + ϕ19, respectively.Dashed curves are used for oscillations about Cassini state 2 before the separatrix appears. The appearance of the separatrix is marked by a blue dot.

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