Gravitational potential well

thingiverse

Launch the tiny balls down the inclined path of discovery into orbital flight around the celestial core of knowledge. The curved slope is precisely calculated using the mathematical equation Z = 1/R, making it identical to the gravitational pull of a planet or shining star. Utilize this engaging demonstration as a catalyst for discussion on the intricate dance of motion within gravitational fields or the classic orbits of an electron spinning in an atom's orbit. Customizable resources, suitable for all levels (orbits_description.tex and orbits_description.pdf), including the innovative MATLAB code (orbits_3dprinting.m) used to create this intriguing surface, are readily available. Instructions to replicate this astronomical marvel using a MakerBot Replicator 2 follow: To bring this celestial creation to life at high resolution, use the following settings: coarse precision (0.3mm / swift), Raft ON, Support OFF, and two shells of PLA plastic with a 3% infill. Consider upgrading to higher infills for added structural strength. For optimal use with a 0.5" diameter stainless steel ball bearing, print to a size 75 mm tall and 50 mm x 50 mm wide. To unlock the full potential of this interactive tool, refer to the attached MATLAB design code and educational materials.