Good evening everyone, since Poincaré demonstrated that there are no exact solutions to the Three-body problem, many scientists have developed techniques to approximate these solutions.
The Newtonian approach has been well studied so far, and if I understand correctly the relativistic approach is not really the best because General Relativity is not an N-body theory but rather a field theory.
I read that the numerical simulations of this problem are very accurate nowadays but that many of the solutions found are very unstable in reality.
- Can we consider today that this problem has been sufficiently explored ? and should we spend more time on the N-body problem ?
- Or should we continue to deepen our knowledge of this problem ?
- If so, what are the aspects of this problem that are unexplored or not well understood?
I hope my questions are not too vague. If that's the case, let me know and I'll rephrase them.