Evolution of different Type-F particles associated with Set 3 of N-body simulations. The rows are numbered from 1 to 5 from top to bottom. In every row, the black and gray curves of the left panel illustrate the evolution in time of ω₂ and Ω₂, respectively. Then, the black and red curves of the middle panel represent the trajectory of the particle and the separatrix in the plane (Ω₂, i₂), respectively, while the blue curve shows the pairs (Ω₂, i₂) of the particle’s trajectory that vanish the ω₂ quadrupole precession rate of the system under consideration. Finally, the violet circles of the right panel illustrate the pairs (Ω₂, i₂) of the particle’s trajectory that vanish the Ω₂ precession rate calculated up to the octupole level of the approximation. The initial orbital parameters of the test particles and the values of a₁ and e₁ associated with the inner Jupiter-mass planet are specified for every row in Table 1.