Everything You Need to Know About the Double Pendulum

I give a detailed explanation of what it means for a Double Pendulum to be unpredictable yet deterministic. Along the way, I derive the equations of motion using the Lagrangian. I also show how sensitive the motion is to the initial conditions with several animations.
Error:
2:04 cos(theta2) should be cos(theta2) = -(y2-y1)/L2
If you have any questions or suggestions for future videos, please leave a comment here or shoot me an email at [e-mail].

[@Higgsinophysics]

Can we talk about the prefect timing at 8:50? So satisfying you stopped the plot just the right time

[@francaisdeuxbaguetteiii7316]

This is so good, criminally underrated. Keep up and you will garner a significant audience. Subscribed 👍

[@paritamehta5716]

So neat and beautifully demonstrated

[@Number_Cruncher]

Beautiful animations. Great!

[@jkzero]

What a fantastic presentation of the double pendulum, I have seen this topic described before but never with such high-quality animations. Also seen the angle plots together with the animation is great. Thanks for letting the beautiful figure complete at 8:50, the animation-voice over timing was perfect.

[@AbideByReason]

Thank you, glad you enjoyed it!

[@copywright5635]

This is such a good video to have in the youtube catalogue. Will probably use as a reference if I ever need to explain a double pendulum, or chaos tbh.
Also, if you're open to suggestions. I think it would be interesting to see how different approximation schemes (RK4, Verlet, etc.) affect the double pendulum. I'm almost finished with a video covering the subject, on Simple Harmonic Oscillators though, but I think the double pendulum would be a really interesting medium to explore the topic.
Again, really great video, thanks for making it!

[@AbideByReason]

Thanks for the positive comment. Glad you liked the video.
And thanks for the suggestion, that's a really cool idea. I'll add it to my list of future planned videos!

[@math.101]

Such a master piece ... subbed

[@Wotsit27]

Please give details of the lecture referenced at minute 5:10 of this video. I can’t quite hear the name or where to find it. Thank you.

[@AbideByReason]

It's Feynman's Lecture on the Principle of Least Action. You can find it here: www.feynmanlectures.caltech.edu/II_19.html

[@joeeeee8738]

9:40 😺