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Not an expert, but I think n>2 means that chaotic behavior is possible, but not inevitable. Consider an isolated sun-earth-moon system, that doesn't appear to be chaotic. Simulating a "3-earth" system would, AFAIK, usually be chaotic.

I'd be happy to be corrected, of course.




That sounds correct. I would guess that systems like that can be approximated fairly accurately as nested 2-body problems.




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