Rotation period of the planet (dashed lines) and pseudo-synchronization period (solid lines) as a function of time. The top panel corresponds to the simulation of Figure 4: τ_disk = 3 × 10⁴ yr, 1 M_Io, equilibrium tide only. The bottom panel corresponds to τ_disk = 3 × 10⁴ yr, 1 M_Io, initial stellar rotation of 8 day and the dynamical tide is on in both star and planet. The different colors correspond to the different satellite initial semimajor axes. They are all superimposed and the green one corresponds at an initial satellite semimajor axis of 0.6 a_Io.