Stellar rotation period corresponding to torque balance as a function of the orbital period in days for companions of masses M_c = 13 (top) and 80 (bottom) Jupiter masses and hosts of different masses (see Table 1) shown in different colours, as indicated on the plots. The solid portion of the lines correspond to orbits where the stationary state is stable, and the dotted portion shows the unstable stationary state (when P_orb ≲ 1.25P_crit0). The solid black line on each plot represents the synchronisation between the orbital period and the stellar spin period.