A bit of a question about KSP orbit system

[Orbinator]

I'm really new to the forum so go easy on me :p

Here's a bit of a background, I'm building a physic game in Unity with orbital mechanic and I'm really interested in the way that KSP automatically calculates and renders the orbit path for you, not only that but you can plot orbit and transfer to another planet, so far I'm struggling to draw the orbit, the only thing that I can do for now is adding a trail behind object so it kind of resemble an orbit. I probably forgot most of the maths for this, I know that it has something to do with plotting ellipse equation. But can some KSP savvy fan out there tell me the correct way to do this in general? Throw me some needed equations if you have to

Edited November 19, 2018 by Orbinator