This section covers the n-body gravity problem. I applied the Parker-Sochacki method to the 2-body, 3-body, and n-body gravity problem discussing what happens when you adjust the accuracy of the method. I also have a section where I compare different numerical integrators for different particle simulations: Forward Euler, Semi-Implicit Euler, Velocity Verlet, Runge-Kutta 2 Midpoint, and Runge-Kutta 4th Order.
3-Body Parts 1 and 2:
N-Body Comparing Different Integrators: