Closed-form solution in Euler's three-body problem and generalization of it

Euler's three-body problem has a closed-form solution, but I cannot find it for it, but I've only found the equation for potential energy. What is the closed-form solution for the $x$ - and $y$ -coordinates of the moving mass given: The initial position of the moving mass. The initial velocity of the moving mass. The masses of the fixed masses and the moving mass. The distance between the fixed masses. Can it be generalized to $N-1$ fixed masses? If so, what is the closed-form solution to that?