For any random planet what does its mass, density, diameter, and surface gravity have to do with anything or each other?
by 
atreadwe321
ANSWERS: 1
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I don't know, but I can have a go at finding out: All I assume is that the planet is spherical, and that the density inside varies only with depth. Let r stand for radius, d for diameter, g for surface gravity, G for Newton's gravitational constant, m for mass, v for volume, and p for average density. Have: r = d/2 m = pv v = (4/3) pi r^3 g = Gm/r^2 = Gpv/r^2 = (4/3) pi G p r = (2/3) pi G p d In words: surface gravity is given by two thirds of pi times G times density times diameter.
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