@TheSovereignGrave
Just read over your sheet's updates in full. I approve everything you wrote, though I wanted to ask: how large are these artificial planets exactly? As in, how many people is each one capable of housing comfortably and how many are there?
See, in most Solar Systems, the planets are far enough away that they do not effect eachother's orbit around the star significantly enough to cause disruption regularly. But, to house 200,000,000 people, it seems that the man-made worlds would need to be either HUGE (as in, larger than actual planets), or there must be MANY of them, in which case they may be so crammed in together that they are having a gravitational pull on one another- that might lead to crashing, spinning out of the solar system, and so on.
I can see three explanations for how the Ch'ak'ii have not yet crashed into each other.
1. I'm totally overestimating the size and number of these structures.
2. The Ch'ak'ii have only made a few of these, and those few are large enough to house 50 or 100 billion each (or more).
3. The Ch'ak'ii have managed to perfectly balance the gravity of these various structures so that they don't kill eachother.
All right, so size-wise the ones the vast majority of the population live on are approximately the size of your Ka'ak (which is pretty average), and generally have a population somewhere around 10,000,000. So there are around 21 of them (plus Ka'ak itself), with two of them only holding about 5,000,000 people and 1 uninhabited because it's in the middle of being constructed. Of course there are smaller ones too, but they're moon-sized at the biggest (hell some of them orbit the big ones as 'moons').
So I think it's a bit of 1 and possibly 3. As I was writing the tech part, it occurred to me that if their two specialties were megastructures and using gravity to rip apart planets, the Ch'ak'ii's knowledge of physics must be quite impressive. So I don't think them managing to balance the gravity so that everything orbits nicely is out of the question.