Variation in the same resonant angle as in Fig. 7 not averaged and zoomed in time so as to make the libration period timescale apparent. This behavior is common to exterior MMRs with Neptune coupled with Kozai resonance. Even when the particle is not in the hibernating mode, this behavior appears as, for instance, during the time between 3.3 Gy and 3.32 Gy as shown in Fig. 7.
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