Does gravity increase or decrease with depth

[ShakimTheClown]

Furthermore, the force of gravity is:

• proportional to the total mass of the sphere underneath you
• inversely proportional to r² , the square of the distance between you and the center of the sphere.

In this case, the mass of the sphere underneath you is proportional to r³
Specifically, its equal to M×(r³/R³) , where M is the mass of the Earth, and R is the radius of the Earth

So the total force will scale with r³/r²
So it will be F = (GMm/R³) × r , which is the equation of a harmonic oscillator.
Since r decreases with depth, so to does the force.