Pressure-temperature profiles calculated using the numerical model and the full set of opacities (black), the semi-grey (blue) and the non-grey (red) analytical models. As un Fig. 1, g = 25 m/s², , T_int = 100 K and T_μ∗ = 1253 K. The coefficients used for the analytical models are taken from Table 1 with γ_p = 1 for the semi-grey case. The non-grey model is a much better match to the numerical profile than the semi-grey one.