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Fig. 8


Relationship between the threshold mass and the threshold radius. The latter is defined by the radius that the planet with Mthrs would have at 10 Gyr without ever experiencing mass loss ( denoted by Rthrs). The squares, which are connected with a solid line, are Mthrs and Rthrs for 0.1 AU and seven different initial water mass fractions Xwt,0 = 100%, 75%, 50%, 25%, 10%, 5%, 1%, and 0.5%. The dashed and dotted lines represent mass-radius relationships, respectively, for rocky planets and pure-water planets at 0.1 AU. and represent the minimum values of Mthrs and Rthrs, respectively.

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