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This simulation makes you wonder: could the Solar System be unstable? Will a planet eventually be thrown out of the Solar System? People have done a lot of work on this problem. It's hard. The Solar System is chaotic in a number of ways.... (1/n)https://twitter.com/simon_tardivel/status/1215728659010670594 …
Does chaotic mean “we can’t predict how it will behave” or that it’s behaviorable is “not predictable”?
See https://en.wikipedia.org/wiki/Chaos_theory …. Basically, it has the property that no matter how tiny the difference in the initial conditions for the system were, the systems will eventually show wildly divergent history of actions. BUT, identical conditions result in identical history of 1/2
Thanks for the links. I guess what I was really trying to ask is whether these systems behave in a deterministic way that we don’t have good models for or are they non-deterministic in some fundamental way.
chaotic means sensitive to initial condition
Just like weather prediction, you need more and more accurate and complete initial conditions to predict the weather further out. Small variations amplify over time until they dominate. The double-pendulum is the simplest example.https://twitter.com/InertialObservr/status/1178769529280684033 …
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