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.
Pendulums
Rigid Body
Torque-free motion
Free top
Dzhanibekov effect https://youtube.com/watch?v=1VPfZ_XzisU&t=0s
Torque-affected motion