Newton

1
Gravitation outside of the Earth
Newtons Shell Theorem A uniform spherical
shell of matter attracts a particle that is
outside the shell as if all the shells mass were
concentrated at its center.
2
Gravitation inside of the Earth
Newtons Shell Theorem A uniform spherical
shell of matter exerts no net gravitational force
on a particle located inside of it.
This does not mean that the force of gravity
magically disappears. Rather, it means that the
vector sum of the gravitational forces from all
parts of the shell is zero.
For an Earth of Uniform Density
Rho
3
Gravitation inside of the Earth
For an Earth of Uniform Density
Simple Harmonic Oscillator!
4
Gravitation inside of the Earth
For an Earth of Uniform Density
Simple Harmonic Oscillator!