Thanks for this. This is something that always bugged me when I see explanations of the three-body problem. They'll say something like "changing the initial conditions just a tiny bit can dramatically change the outcome!" as an explanation for why having no closed form solution is significant.
But that never made sense to me, since plenty of things with closed form solutions also do this.
But that never made sense to me, since plenty of things with closed form solutions also do this.