I am working on constructing a fictional solar system, but I am determined to make it work within known laws of physics and despite a lot of research, I still have many questions...
I can calculate speed of planets on their orbit using Kepler's third law, but I have problem determining the right orbit radius for different kind of planets. I know that a radius of habitable zone (in AU) is determined as root from luminosity of a star divided by luminosity of our sun. Is there a similar formula for gas giants or ice giants for example? My star is a close binary of two Sun-like stars (G-type), so the planets have to be further away I would think.
And yet another question: how to determine distances between planetary orbits so that the orbits are stable? Is there any specific distance necessary between an asteroid belt and a planetary orbit?
And one more thing: is there any solar system creator\simulator that would let me check if my system would work?
I would appreciate any help