Holed on

A sphere of uniform mass density \(\rho\) and radius \(a+b\) has a spherical hole of radius \(b\) drilled a distance \(a\) from its center. The gravitational field is measured at the far side of the hole (at the blue point) and is found to be \(g_0.\)

What will the field measure at the near side of the hole (at the green point)?

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