Capture and escape from the 2:1 resonance between Ariel and Umbriel in a fast-migration scenario of the Uranian system

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Fig. 2

Top: evolution of the eccentricities of Ariel and Umbriel during the capture into the 2:1 mean motion resonance. Bottom: libration of the 2:1 resonant argument. This evolution was obtained setting t_α,2 = 2.3 Gyr, Q₂ = 100 (k_2,2 = 0.15), and initial semimajor axes a₂ = 6.150 R_U and a₃ = 9.841 R_U.

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