Surface temperature of 10 km (blue dots) and 10 cm (yellow dots) bodies as a function of the distance from Jupiter within a CPD with ﹩\dot{{M}_{p}}={10}^{-7}\,{M}_{\mathrm{jup}}\,{\mathrm{yr}}^{-1}﹩ and α = 10⁻³. The black dashed line represents the temperature profile of the CPD, while the red dashed line is the solution of Equation (26). The high water ice ablation rates suffered by these bodies efficiently cools down their surface temperatures in the inner part of the disk, making them substantially depart from the ambient gas temperature. However, 10 cm bodies cannot retain water ice below ∼10 R_Jup so that their surface temperature is that of the ambient gas interior to this distance.