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In 2009, researchers ran a simple experiment. They took everything we know about our solar system and calculated where every planet would be up to 5 billion years in the future. They ran over 2,000 simulations, and the astonishing variety in results revealed that our solar system may be much less stable than it seems. Fabio Pacucci explores the n-body problem and the motion of gravitating objects.
Lesson by Fabio Pacucci, directed by Hype CG.
Animator’s website: https://www.hype.cg/ and https://www.luisacopetti.com/
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View full lesson: https://ed.ted.com/lessons/newton-s-three-body-problem-explained-fabio-pacucci
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broblem with 3 body problem is idocratic it seems.. i mean you want a extreemly precise result and usign float limitation of simulation software which ignores small details on floating point variables… its designed to do it because it requires extreemly high memory and time to compute in higher precisions as precission increase…
and expecting a precise answer from simulatior thats programmed to ignore long time alternations 😀
also gravitional center switches and repositionned on each iteration with a floating point thats rounded by computer… so even the computer will produce relatively random numbers relative to rounding points of floating point walue or rounded irrational number used on simulation 😛
⚠️ Correction: the video says the 3-body problem has "more unknowns than equations," but that’s not correct. The real issue isn’t a shortage of equations — Newton’s laws give the same number as unknowns — it’s that after symmetries are removed there aren’t enough conserved quantities (first integrals) to make the system integrable. That’s why Bruns and Poincaré proved no general closed-form solution exists.
How imp computers are
cant a star orbit around a binary system
the earth is flat.
This type of animation is so good so well done to the animators!
💭share your thoughts…
gravitating objects?
Did no one realize you were working in 2d, when you need to be in 3d
"By aproximating the solutions with increasingly powerful processors we can more confidently predict the motion of…." YOUR GUESSING. Just say it. It's still guessing. Just using higher probability analysis.