The REAL Three Body Problem in Physics

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Further fact about Poincare's solution - he initially found a solution declaring that the 3 body problem was stable, applied for the prize, had his solution printed, but before it was distributed he found an error in his original solution and discovered that the 3 body problem was actually unstable. The original prints of the first incorrect solution were destroyed and no one knew that this had even happened until someone found a last surviving leaflet in the back of a cupboard. Even the best mathematicians in the world get things wrong sometimes.

I really like your style of science-communication. You don't oversimplify but manage to explain everything so well. Always fun watching your video's Jade!

I love the idea of you catching your husband while he’s bench pressing to ask him how to pronounce someone’s name. We can almost hear him laugh warmly at the question. Clearly there is love for math and each other. ❤ And thank you for posting this on Nebula. 🎉

I love how succinct and powerful your statement that other sciences "felt like I was learning things. Whereas in physics, I was learning a totally new way of thinking." You're great at presenting these ways of thinking! :)

I started my higher studying in biology as well than got into physics now I have master’s in pure mathematics, I guess that’s one example of unpredictability of nature of human judgment.

the gravity of the problem. very good Jade.

6:04 What a chad, saying that name while lifting weights

For those of you who are curious, 2,500 Swedish krona (crowns) in 1889 is about US$78,500 on 2024-JUL-15. That's based on the fact that 2,500 krona could be exchanged for 35.5 ounces of gold in 1889, of which we have actual historical documentation. We use "troy ounces" today, so 35.5 becomes 32.27 troy ounces. Today's rate is $2,432.25 per troy ounce (equals 78,488.7075-ish).

7:57 Lagrange points!

We wait 4 months for a masterpiece😢😢

I like how this explains the history of the problem to give it some context. It starts with a simple premise and slowly builds on it to add complexity while keeping it approachable. I really like the visual style and animations of these videos. The presenting style has energy while also being calming and reassuring. Up and Atom has settled in to a friendly, professional look.

I've been into pop-science for decades and been watching YouTube physics channel videos for well over 10 years and this is the first time I've understood why the 3 body problem is so complicated. Your narration and animation of the saddle-points was extremely clear and made it very easy to understand. Thanks!

Random topic: the 2-3 problem. I'm a computer scientist, and over the years I've noticed a distinct pattern. LOTS of problems go from easy to hard when some parameter goes from 2 to 3 (eg 2SAT and 3SAT), just like this one. I wrote a small thing on these problems, and I wonder if there's already an answer for why this happens. Are you interested in taking a look?

In this video you managed to talk about people whose names I'd heard before and teach me more about their accomplishments, clarified my understanding of a topic I often hear about but didn't understand the significance of, highlighted how solving the problem is not just a case of more&faster computers and told an entertaining story of how our understanding of the problem has evolved. You're a genius Jade, and this is yet another of your masterpieces!

6:03 I love the implication that you just ambushed him while he was working out to ask him that lol

it's amazing that this video was suggested to me after watching a med school video on ECG heart waves, it made me look at heart dysrhythmias in a new light. also I loved that you mentioned that " it is still 100% deterministic but unpredictable", some channels omit such essential info leaving me confused at the end of the video. I also feel like I understand chaos theory better now. in conclusion, it's yet another beautiful video from Up and Atom

9:10 chaos will later lead to ... Fractals.

Always love ur narration. Wonderful explanation ❤ so far thes best explanation on internet.

Yay!!! A new Jade U&A Video!! So glad you're back. These are my favorite videos to watch. Always so informative and fun. You videos actually inspired me to go back to school!