The Dzhanibekov Effect: Equations and Simulations

[@extraterrestrial1666]

Best channel I have ever found!

[@seesaw1969]

good job man , i really like it. there is few months ago i have been learning about this strange effect. thanks for sharing your mathematical analysis. the reversal movement also gives me a view about something stronger that may go happenen suddently. it will cause our extinction , in my opinion , and this expression should help to try find when and how.

[@stephenmcmahon7290]

David, Thanks for the very nice demonstration of using Lagrange multipliers to determine the equations of motion. Thanks also for sharing the vPython code. It is very clear and well structured (and will get reused for other projects) I have four main questions: 1. Are there initial position, velocity conditions and/or mass ratios that produce quasi stable spin (unstable resonances) on the intermediate axis? If so, is there a way to compute these? 2. Before I attempt the exercise, would the addition of an independent z axis mass M3 overly complicate the computation of the equations of motion using the Legrange multiplier method? If so, would one of the other three methods you mention simplify computation of the equations of motion for this case? 3. Would the addition of a third independent z axis mass help stabilize spin on the intermediate axis, I am thinking similar to earth moon stabilisation, and hence help to produce quasi stable resonances? 4.Would programming rounding error make resonances impossible to simulate? A very educational video, you should extend it to show and compare the other three methods! Keep up the good work.