Comparison of the atmospheric radii obtained in our study and those in previous studies. The open and filled square symbols were obtained from our hydrodynamical simulations, ℳ_hw = 0 and 0.1, respectively. The gray-shaded region is given by the fitting formula for the atmospheric radius, R_atm,fit (Eq. (7)). The red dashed and dotted lines are given by Eq. (34) (Moldenhauer et al. 2022). We extrapolated Eq. (34) to the range of m ≤ 0.3. The yellow, blue, and green diamonds corresponds to the results of D’Angelo & Bodenheimer (2013), Lambrechts & Lega (2017), and Cimerman et al. (2017), respectively. To plot the results of D’Angelo & Bodenheimer (2013), the atmospheric radii were calculated by R_atm/H = C^DB13a/H = C^DB13/h. The values of C^DB13 = 2.6 × 10⁻³−9.6 × 10⁻³ were given in Table 3 of D’Angelo & Bodenheimer (2013). We used h = max(0.027(a/1 au)^1/20, 0.024 (a/1 au)^2/7) (Appendix A).