Top panel: evolutionary trajectory of a Type-F particle associated with Set 3 of N-body simulations in the (Ω₂, i₂) plane (black curve). The initial orbital parameters of this particle are a₂ = 34.201 au, e₂ = 0.696, i₂ = 52.853°, ω₂ = 120.147°, and Ω₂ = 254.671°. The values of a₁ and e₁ associatedwith the inner perturber, and the red and blue curves are defined in the caption of Fig. 7. Middle panel: evolution in time of the argument of pericenter ω₂ of such a particle, which librates around 90° by defining an inverse Lidov-Kozai resonance. Bottom panel: zoom of the middle panel between 1.44 and 1.52 Gyr. The references associated with the yellow and green circles represented in the top and bottom panels are described in the caption of Fig. 3.