The Fourier series solution of the three-body problem

The three-body problem is essentially to solve three curves that satisfy Newton’s equations. Given initial conditions found in numerical simulation, this paper introduces the Antikythera algorithm that solves three-body problem Fourier series solution via the Runge-Kutta method and Fourier transform. The Lagrange, BHH, figure-8, and IA100 solutions are reported along with their spectrum and parameter values.