Friday, 30 October 2015

newtonian mechanics - Proof of unsolvability of $n$-body problem for $ngeqslant 3$ in general


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?






No comments:

Post a Comment

Understanding Stagnation point in pitot fluid

What is stagnation point in fluid mechanics. At the open end of the pitot tube the velocity of the fluid becomes zero.But that should result...