N-body simulation of the spin evolution of fictitious CB planets, considering binaries with different mass ratios (different columns) and different initial eccentricity for the planets (different rows). In all the panels, the black curves correspond to the evolution of an initially super-synchronous planet while the green curves represent the initially sub-synchronous case. The dashed yellow curves are the stationary spins predicted by our model (Eq. (22)) while the dashed red curves are the 2-body stationary solution.