Exploratorium
Lab Works in Applied ODEs
 

The full list of over 100 examples in various fields pre-loaded in this software may be found  in the list of Samples (especially numerous in Celestial Mechanics). There however it is explained only what those samples demonstrate, yet no didactical material is offered.

On the contrary, this section is intended as a series of lectures on various topics of applied ODEs illustrated with the dynamic simulation of the respective motion. As of this moment (February 2021) this project is only in an initial stage.


You have to 
download and install the software of the Taylor Center as explained here. This software runs the library of examples of various physical processes as real time animation in 2D or 3D stereo for viewing via a pair of Red/Blue glasses. (3D stereo appears on black background). If you do not have Red/Blue glasses, you may watch it in conventional axonometry (clicking the respective button).

In order to learn and experiment with the simulations and real time animation here, choose and click at the desired title  in the list below. This will lead you to downloading a zipped file. Unzip and place it anywhere preserving the structure. It consists of a pdf file with a brief lecture and explanations what to do and to expect, and several folders with the script files for the software. While reading the pdf, when you decide to experiment with a particular script file mentioned there, run the software and under File/Open Script navigate to the desired script file. Then Play it putting the glasses on.

Mechanics


Pendulums

Rigid Body

Torque-free motion

Free top
Dzhanibekov effect https://youtube.com/watch?v=1VPfZ_XzisU&t=0s


Torque-affected motion


Rolling Disk

Celestial Mechanics