We know there are general solutions for 1-body problem and 2-body problem and also we know in some "special cases" there are some possible solutions for $n$-body problem for $n \geqslant 3$ and there might not be a general solution to this problem. But I heard it could be possible to prove there is no general solution in terms of elementary functions for $n$-body problem in general.

  1. Now my question is: What is this proof? Can anybody explain it? Do we have to use the method of "Proof by contradiction"?

  2. And also another question: What are the approximate methods used to solve this problem? Numerical analytical methods? Perturbation theory?



Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.