Using Poisson's equation, we can show that the gravitational acceleration of a spherical mass distribution at any radius R from the center of mass is given by GMg(R) = R^2.
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This shows that the gravitational acceleration at any radius R is proportional to the mass enclosed within that radius, and inversely proportional to the square of the radius. Substituting M = (4/3)ĻR^3Ļ, where Ļ is the average mass density, we get: g(R) = Show moreā¦
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