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There is this cool paper "Crash test for the restricted three-body problem" [0], that plots where the third body eventually ends up when dropped from any location. Looks very fractal-like [1][2]

[0] https://scholar.archive.org/work/wnwgyliq5fgtba45k535t5lb5e/...

[1] https://www.semanticscholar.org/paper/Crash-test-for-the-res...

[2] https://www.semanticscholar.org/paper/Crash-test-for-the-res...



‘Strange attractors’: https://en.wikipedia.org/wiki/Attractor

“An attractor is called strange if it has a fractal structure.”


Thank you for reminding me of this beautiful field of mathematics.

The best textbook I've ever read: Nonlinear Dynamics and Chaos by Steven Strogatz.


Looks like fluid dynamics / turbulence to me


E&M and gravity are both n^2 forces, but E&M has polarity, whereas gravity (at least we encounter it) does not.




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