A beautiful solution of the gravitational 4-body problem. But keep watching, because it's not stable!https://twitter.com/simon_tardivel/status/1215728659010670594 …
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I don't understand why it's unstable. I'm the farthest thing from a physicist, so I'm sure I'm missing something obviously, but it seems to me like it should be stable. Is something influencing their movement besides each other?
Lots of systems are unstable, and then they can *look* like they're doing something simple, but in reality they're not quite, and the deviation from simple behavior gradually builds up over time and suddenly spirals out of control. Just solve the equations...
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this one is static under perfect conditions, right? perfect symmetry, no perturbations, etc.? the fact that it starts out symmetric at least tells me it can't end the way it does in the animation
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That’s the thing it’s *not* perfectly symmetric, it just looks that way to our monkey brains. There is a ever so slight difference in initial conditions that breaks the symmetry
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Very cool! Thanks for the explanation.
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Ivars Peterson’s “Newton’s Clock” might be a bit outdated now, but it’s a good intro to the chaos problem.https://www.publishersweekly.com/978-0-7167-2396-7 …
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