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by sengstrom
3255 days ago
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Stable against what perturbations? What impact would a large body passing through the system have? Stable as in self-correcting (up to a limit)? What is the limit. Even long running accurate simulations of the three body problem are sensitive to perturbations... |
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If I understand correctly, I think the author uses "stable" to just mean a _fixed point_. The fixed point must actually be unstable to just about every possible perturbation, which justifies the second statement; if the fixed point were actually "stable" (to perturbations) then it would occur relatively easily in nature.