Gravitational potential well

thingiverse

Roll ball bearings down the inclined ramp to launch them into orbits around a central potential. The cone-like surface is mathematically defined by the function Z = 1/R and is therefore the same as the gravitational potential of a planet or star. Use as a classroom demonstration to begin a discussion of motion in gravitational fields or the classical orbits of an electron in an atom. Teaching materials appropriate for all levels (orbits_description.tex and orbits_description.pdf) as well as the MATLAB code (orbits_3dprinting.m) used to generate this surface are available as well. Instructions Printed on a MakerBot Replicator 2 as follows: Coarse resolution (0.3mm / fast), Raft ON, Support OFF, PLA plastic, two shells, 3% infill. Higher infills may be used for a sturdier structure. To use a 0.5" diameter stanless steel ball bearing, print to a size 75 mm high, and 50 mm x 50 mm wide. See attached file for MATLAB design code and teaching materials.