How many nested orbits can you get without crashing into one another?

I was reading world building about nesting moons and I was trying to create a diagram with css. However I'm having trouble calculating all of the orbits.

Here is an example:

• http://ift.tt/1N9YxSw

• http://ift.tt/1RlhhND

How would you solve this?

Epic visual tool

Epson 5030UB 2D/3D 1080p 3LCD Projector Submitted October 02, 2015 at 11:21PM by julian88888888 http://ift.tt/1RlhjVM