Given the excellent quality of the rebuttals

I don't see any quality. AATW, Tunemi, SteelyBob are citing themselves as their source versus the physicists who say directly that the three body problem does not work.

Professor Ashish Tewari said "we cannot mathematically prove certain observed facts (such as the stability of the solar system) concerning N-body motion"

They simply can't do it. Don't pretend that you are a better authority than he is.

Are you seriously, publicly doubling down on this one? Unbelievable. Nice appeal to authority at the end there as well, which is of course both a schoolboy debating fallacy and completely misses the mark, given that we all entirely agree with the authority in question, whereas you just don't understand or are wilfully misrepresenting what he is saying.

It's pretty astonishing that as a flat earth proponent you are quoting somebody who is referring to the stability of the solar system as one of many 'certain observed facts', but let's park that for the time being.

Tewari's quote in full, from your own wiki:

In the next section, it will be shown that two additional integrals can be obtained when N = 2 from the considerations of relative motion of the two bodies. Hence, a two-body problem is analytically solvable. However, with N > 2, the number of unknown motion variables exceeds the total number of integrals; thus, no analytical solution exists for the N-body problem when N > 2. Due to this reason, we cannot mathematically prove certain observed facts (such as the stability of the solar system) concerning N-body motion. The best we can do is to approximate the solution to the N-body problem either by a set of two-body solutions or by numerical solutions.

The problem, as he himself explains

**in your own wiki quote **, is not that planets can't do what they are observed to do, it's that you simply can't solve the problem algebraically. As I pointed out, that is true of countless complex science and engineering problems involving PDEs, and is in no way indicative of them not being true. If you really want citations, check out the Clay Millennium prizes, one of which is a particular aspect of the N-S equation solution. 21 years on, and nobody has claimed it. And yet our aircraft still fly...