Relationship between the initial planetary mass and the fraction of the water envelope at 10 Gyr for four initial water mass fractions of Xwt,0 = 100% (solid, red), 75% (dashed, green), 50% (dotted, blue), and 25% (dot-dashed, purple). We have assumed L0 = 1 × 1024 erg s-1, a = 0.1 AU, and ε = 0.1.
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