Acceleration due to Gravity at Depth d (Uniform Sphere) (g(d) = g0(1 − d/R) uniform Earth model)

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g(d) = g0(1 − d/R) uniform Earth model

What each symbol means

SymbolWhat it stands for
RRadius
dDepth below surface
g_0Surface g
M_encMass inside radius r=R−d

When to use this

Uniform density sphere; valid for d ≤ R. At centre d=R, g=0.