z = 1/r^2 | My Site 2

z = 1/r^2 Surface

For the experimental demonstration of Bertrand's theorem, We used a 3D print of z = 1/r^2 surface (corresponds to z = 1/r^3 force) and observed the trajectories of balls/marbles of many different radii over this surface. The result of each case can be seen using the buttons below.

Dataset 1

Dataset 2

Fig. 1: graphical illustration of inverse r squared surface

Fig. 2: 3D print of inverse r squared surface