Results from a short-term integration of the rotational pole direction s for the L₅ Trojan (1867) Deiphobus (left panels) and for the L₄ Trojan (15663) Periphas (right panels). The top panel shows the osculating obliquity as a function of time. The bottom panel provides a projection of the s evolution over the 2 Myr timespan onto the phase space defined by the proper-frame variables: (i) obliquity ε_p on the ordinate, and (ii) longitude ϕ_p at the abscissa. The numerically integrated evolution is shown by a black line with the initial conditions shown by the blue diamond. The gray lines are idealized flow-lines from the simple Colombo top model. Red line is the separatrix of the resonant zone, and red points are locations of the Cassini state 2 (the Cassini state 4 is at the junction of the two separatrix branches with ϕ_p = ±180°).