Energy level curves e vs. ω for the 1:3 MMR. In a) with 30° of amplitude, in b) with 5° of amplitude, in c) with 60° of amplitude, and in d) with 30° of amplitude. The asymmetric centers of the Kozai resonance are clear in b), and the flattened curves in c) indicate that the hibernating mode can also be reached. All cases have a = 62.63 au and H = 0.82.
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