The gravity anomaly profile of a buried sphere has a characteristic half-width relationship: the horizontal distance from the anomaly peak to the point where the anomaly falls to half its maximum value is x(1/2) ≈ 0.766z, where z is the depth to the sphere's center. Combined with the peak anomaly formula g_max = (4/3)πGΔρR³/z², this allows solving for the sphere's radius (and hence mass) from the observed anomaly shape.
The two points where the anomaly equals half its maximum are symmetric about the peak, separated by 154 m, so the half-width is x(1/2) =...
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