The combined night and day side cooling as a function of the surface gravity and core entropy. It is expressed as the intrinsic effective temperature in K. Left: the effect of the P_n parameter. The models are calculated for three different values of P_n = 0.1,0.3,0.5. The total core heat loss decreases with increasing P_n. Right: the effect of the depth of the heat redistribution. The models are calculated for three different values of the day side Rosseland optical depth of the bottom of the heat redistribution region τ_ross = 1,3,9. Total heat loss decreases with increasing optical depth. See the text for a more detailed discussion.