some quick details:klingsor said:Solar Systems for Dummies.
* The possible atmospheres are a function of size or more precisely planetary mass (the smaller planets do not have enough gravitationnal attraction to keep the mollecules of the atmo, small planets can only have atmos of heavy stuff such as methane, no hydrogen atmo for them), temperature (high temperature can do more or less the same effect as reducing the planetary gravity on the atmo), and maybe more or less evironmental influences (a moon could loose it's atmo because of tidal effects, another popular idea, though I am uncertain, is that if too close to sun the solar wind can blow atmo away).
* There cannot be in theory too many (3 or more) large objects of similar mass (3 similar stars, 3 large gas giants) as these cause chaotic orbits.