After messing around with it for a few hours, I could only get 5 levels of orbit. (Sun - Earth - Moon - Satellite - Smaller Satellite)
And that might be the maximum level at this scale. If more levels were at all stable we'd see examples of them in our own solar system. I just tried orbiting the Sun around a galaxy and a galaxy around a point 10000 times as massive. That's a good test case to reveal a number of bugs with projected paths and other issues. I hope to make this work well before we release v2.
...I was using the R4K movement system when doing this. I got much better results with that than the Euler system.
RK4 is a little slower but a much more accurate simulator (undetectably slower with only a few bodies). You can directly compare the difference between the original mode (Euler) and the new mode (RK4):
1 - Load 'Earth & Moon'
2 - Hover your mouse over the Moon so you can see the projected path (of the Moon).
3 - Press Shift+S to toggle to RK4 mode.
4 - Notice how the projected path makes a complete oval.
5 - Toggle back (Shift+S) and notice how the path is not complete when in Euler mode.
What is RK4? - A technical answer:
http://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods