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Fig. 3.

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Four examples of different orbital behaviors in our N-body simulations. For each orbit, from left to right, we show snapshots (xy and xz), the change in the resonant angle θz − θR with time, the orbit in the plane (θres,  Jz), where Jz is the midterm vertical action. The top left and right orbits remain a long time in vILR and librate around θz − θR ∼ π (banana orbit) and π/2 (anti-banana orbit), respectively, and then leave it. The bottom right orbit is trapped into vILR and also librates around θz − θR ∼ π until the end of the integration time. The bottom left orbit passes through the resonance around θz − θR = π. Orange and green in each plot correspond to the time when θz − θR increases and decreases, respectively. Blue and purple correspond to the stage when the orbit is in resonance or passes through it, respectively.

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