Hey all, suppose there's a particle with Potential Energy : U(x) = A*[ x^(-2) - x^(-1) ] , where A is a constant. I'm supposed to find the energy required to make the particle go from periodic movement to unlimited movement. First thing I did was U '(x) = 0 to find the balance points, now the problem is that there's only one root to the function, which means there's only one balance point at x=2 (stable). I thought I was going to find two or more balance points to determine the energy that divides the movements. It's my first time posting here so I hope I'm making myself clear, but can someone explain me where I'm wrong ?