I have tagged this as
hard science- If it turns out that current science has no research on the subject or cannot cope with calculations about this sort of system, I may relax this to
science-basedand allow informed speculation.
Some people might object that I have used the idea of gods in a
hard sciencequestion. The gods are merely a fiction to 'explain' how the system might have come about - they are not essential. Feel free to ignore the god aspect and imagine that this solar system came about by natural forces.
Some young gods are playing at solar systems. One has the idea that, instead of the usual boring flat system, their system should be spherical.
They start with a Sun-like star then add asteroids and planets orbiting it every which way. Some orbits are at right-angles to each other or any other arbitrary angle. Some orbits are in similar planes but in opposite directions.
The young gods set this in motion and sit back in glee to watch the chaos that results. Near misses, weird non-elliptical orbits and, best of all, the occasional huge planetary collision.
Presumably the solar system will eventually form some stable configuration. Will this inevitably be a standard flat system with all planets orbiting in the same direction or could there conceivably still be orbits in opposing directions and non-colliding orbits at up to 90 degrees from one another?
Please ask for necessary clarification before answering.
You may assume pretty much any starting configuration and velocity of orbiting bodies (OBs), as long as they tend to remain within the spherical radius of Sol's flat system.
The total mass and distribution of elements of OBs is the same as in our solar system.
Optionally you may assume the same planets (Earth, Mars etc.) and asteroids that we have, only orbiting in 3D instead of 2D.
Gods are not essential to the question, they are just there to give a motivation for the starting conditions. You may assume that this system came about by chance, however unlikely that may be.