I'm a game developer and I need to write a solar system simulation. Unfortunately I'm not very good at math and most importantly I haven't got to differential equations in my maths classes at school yet. After some research I came to the conclusion the best method for me is the common Runge-Kutta. I've read a lot about it and from what I understand it's a method that divides a timestep into 3 parts, calculating the values of the function (in this case position and orbital velocity) at each of these parts and then doing something (I haven't really understood how is this any different than Euler with a smaller timestep). I really can't understand the explanations on wiki or other places because they all use formulas which don't say anything to me.
Now since I have to adapt it into code, I'd like to understand it fully, so I really need a live person to explain it to me. Bullet points would be perfect!
Thanks in advance, Lama