Ratios of calculated mass-loss rates and XUV absorption radii using different versions of the energy-limited approximation. Top: ratio between the mass-loss rate obtained by numerically solving Eqs. (18) and (19) (Ṁ_ζ) and the mass-loss rate obtained through Eq. (26) () as a functionof Ṁ_ζ. Middle: same as the top panel, but for the ratio between r_XUV, obtained through solving Eqs. (18) and (19), and R_pl. Bottom: same as the middle panel, but as a function of the incident stellar XUV flux Φ_XUV. For reference, the vertical line shows the XUV flux incident on HD 97658 b (Kubyshkina et al. 2018b). In each panel, the red line marks a ratio of one for reference.