3D N-Body Problem (Solar System) C#

[mrtree]

Hey there, first time posting, I have casually browsed this forum for a while.

Anyway on to the question, I am trying to solve in the best way possible the N-Body problem, I am at a complete loss, I have no idea what I can do, I have tried figuring out my self different integrators such as Verlet and RK4, but I cannot figure out anything.

What I need to be able to do is simulate our solar system in 3D, I have seen many implementations in 2D, but I can't find out how to calculate velocity, force and position as a function of time.

Any help would be amazing, and I would be eternally grateful.

EDIT: I should point the orbital bodies to be simulated.

Sun is Static in the center, 0,0,0
Mercury, Venus, Earth, Moon, Mars, Jupiter, Saturn, Uranus, Neptune and Pluto

 

[DrClaude]

Start from the equations of motion for each planet. Convert this to a system of first-order differential equations, and you should be able to use that with any general-purpose integrator, such as Runge-Kutta.