Table 1: Models and initial conditions.
Model eccentricity e inclination i libration $\sigma$ T $_{{\rm int}}$ Perturbers Method
Model 1 [0:0.2] $\delta e=0.01$ [0$^{{\rm\circ}}$:30$^{{\rm\circ}}$] $\delta i=1^{{\rm\circ}}$ $60^{{\rm\circ }}$, $300^{{\rm\circ }}$ 10 Myr OSS B-S, HYB, LIE
Model 2 [0:0.3] $\delta e=0.05$ [0$^{{\rm\circ}}$:30$^{{\rm\circ}}$] $\delta i=1^{{\rm\circ}}$ [30$^{{\rm\circ}}$:110$^{{\rm\circ}}$]+[250$^{{\rm\circ}}$:330$^{{\rm\circ}}$] $\delta \sigma=2^{{\rm\circ}}$ 50 Myr OSS HYB
Model 3 [0:0.3] $\delta e=0.01$ [0$^{{\rm\circ}}$:30$^{{\rm\circ}}$] $\delta i=5^{{\rm\circ}}$ [0$^{{\rm\circ}}$:360$^{{\rm\circ}}$] $\delta \sigma=2^{{\rm\circ}}$ 10 Myr OSS HYB
Model 4 [0:0.2] $\delta e=0.01$ 0 $^{{\rm\circ}}$,30$^{{\rm\circ}}$ [30$^{{\rm\circ}}$:110$^{{\rm\circ}}$]+[250$^{{\rm\circ}}$:330$^{{\rm\circ}}$] $\delta \sigma=2^{{\rm\circ}}$ 50 Myr SJA, SJS, OSS HYB

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