Watching these two videos on types of star systems and the number of planets in them-
And
Which led me to several rules for procedural system generation:
1% of stars have hot Jupiters close in and about 61% of systems have planets closer than mercury. About 10% of stars have Jupiter analogs (which I will define for my purposes as +/- 1/2 jovian masses and just outside the frost line) and only about a quarter of those have low enough eccentricity to allow for inner rock balls. Of those, about three quarters of have super Earth's, worlds more massive than Earth and Venus, so less than 1% of systems are similar to sol, Jupiter analogs and no super Earths, one quarter of one quarter of about 10%.
The other one about multiplicity, the number of worlds suggest that planets are common, but the number per system falls off, a singleton is likely and no planets is rare, but there are half as many second planets and one third as many thirds, and so on. On average there are more than twice as many planets as systems with planets, when you sum them up, 1+1/2+1/3+1/4+1/5...
If most systems have planets, let's say 1/2^1/2, ~5/7ths, then there are about half again more planets that star systems.
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