Table 3: Radius of a 22.6  ${M}_\oplus $ planet at 2 Gyr with different water core masses, EOS and levels of irradiation, characterised by a stellar incident flux, $F_{\rm inc}$. Two cases are considered: no irradiation ( $F_{\rm inc}=0$) and $F_{\rm inc}=6\times F_{\rm inc}$ of GJ 436b. Comparison is done with the pure water (ice) case of Seager et al. (2007). Results based on the assumption of a uniform core temperature of T=300 K are also given.
$~{M}_{\rm core}$ $F_{\rm inc}$ EOS (core) $R_{\rm p}$
( ${M}_\oplus $)     ($R_{\rm J}$)
21 0 aneos 0.396
21 0 aneos T=300 K 0.379
21 0 sesame 0.381
21 0 sesame T=300 K 0.358
22.6 0 Seager 0.285
21 $6 \times F _{\rm inc}^{\rm GJ~436}$ aneos 0.452
21 $6 \times F _{\rm inc}^{\rm GJ~436}$ aneos T=300 K 0.421
21 $6 \times F _{\rm inc}^{\rm GJ~436}$ sesame 0.446
21 $6 \times F _{\rm inc}^{\rm GJ~436}$ sesame T=300 K 0.397


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