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by OkayPhysicist
1018 days ago
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Comparing rocky planets, density doesn't really matter at all. The range of possible densities for rocky planets is tightly constrained. What matters is the fact that surface gravity scales sub-linearly with regards to a planets mass. M = 4/3*pi*r^3*d
r = (4/3*pi*d/M)^(-1/3)
a = GM/r^2
a = GM(4/3*pi*d/M)^(2/3)
a = G(4/3*pi*d)^(2/3) * M^(1/3)
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