Fig. 7

Evolution in time of the inclination i (red line) and the ascending node longitude Ω (blue line) of three different test particles (left side) of the same simulation. On the right side, the coupling of inclination i and the ascending node longitude Ω for the same particles. The semimajor axis and eccentricity of the surviving giant planet are a = 0.95 au and e = 0.73. Top panels: the particle’s orbit flips while the Ω librates around 90° (black line). The orbital parameters immediately after the instability event (hereafter, post IE parameters) for this particle are a1 = 16.9 au, e1 = 0.2, i1 = 31.4°, ω1 = 131.7°, and Ω1 = 79°. Middle panels: the particle’s orbit flips while the Ω librates around 270° (black line). The post IE orbital parameters for this particle are a2 = 16.61 au, e2 = 0.54, i2 = 93.2°, ω2 = 2°, and Ω2 = 232.5°. Bottom panels: the orbit flips while the libration center of Ω changes from 270° to 90° along its evolution (black lines). The post IE orbital parameters for this particle are a3 = 23.34 au, e3 = 0.77, i3 = 102.4°, ω3 = 53.19°, and Ω3 = 178.8°.
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