Time-averaged inward Poynting fluxes $S_{in}^{-}$ in Watts as a function of planetary magnetic field flux density, B_p, in G. DP results are on the left, FR results are on the right. The top row shows Trappist-1b, the bottom row Trappist-1e. Black triangles denote $S_{in}^{-}$. Purple downward triangles denote the ratio of Ohmic heating to inward Poynting flux $Q_J/S_{in}^{-}$ (right y-axis). The blue solid lines are fits to the Poynting flux data. We excluded the cases where the upstream magnetopause is pushed to the planetary surface during the CME event (B_p < 0.5 G). Green circles show $S_{in}^{-}$ with an atmosphere present.