Relationship between the initial water mass fraction Xwt,0 in % and the threshold mass Mthrs in M⊕ for four choices of semi-major axes of 0.02 AU (solid, red), 0.03 AU (dashed, green), 0.05 AU (dotted, blue), and 0.1 AU (dot-dashed, purple). We have assumed L0 = 1 × 1024 erg s-1 and ε = 0.1.
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