Newton versus Hooke
Hooke's Elliptispiral
Hooke's Elliptispiral simulation
The simulation shows the motion of an object in both the rotating
frame of the Earth (on the left) and an inertial frame (on the
right). The simulation uses the following assumptions:
- Object is released from a point on Earth's equator.
- Object is allowed to pass through Earth with very small linear
resistance (b = 0.00001 in kg/s/Earth radii units).
- Gravitational force on object inside of Earth is an inverse square force
toward Earth's center.
- Earth rotates at a rate of 9 rotations per day.
Hooke's diagram of the elliptispiral
Note: diagram drawn in inertial frame.
Todd K. Timberlake (ttimberlake@berry.edu)