the gas will fly all over and form an athmosphere of a planet
From point of release air molecules, initially they will take all possible orbits in all directions and plus minus about 300m/s delta-v
not exact but it orbits from 22'000 km to 60'000km
ah even more that 22k km and 60k km, as I used average molecules starting speed of around 300m/s but there will be some with higher velocities, but it does not matter that much
it will form a ring but not for long, and the ring itself will be something like 600km thick.
Molecules in orbit will cross path with other moleculess and collide pushing spread of orbits further
So it will form some sort of a shell-like thing.
- it hard to tell the dynamics, and specific shell configuration, as it just partial analysis of what happens to molecules, and why they won't hold in orbit.
It will evolve in some sort of shell from 22k km to 60k km ringish thing to more spherical in matter of days weeks, depends on density.
All elliptical orbits you can imagine will be eventually taken.
- at this point it probably already felt on the planet, but we continue our partial analysis, and continue to have configuration which will not have place(probably) in reality, as all those processes will happen simultaneously
Once there is a shell(is it ring-ish or shell-ish it doesnot matter), an molecule with high ecliptical orbit, instead to raise to its apo-point(most distant point in orbit from center of mass) it will "hit" that shell, lose some energy the same way as airobraking works, but athmosphere is in other side in this case, taking a lower orbit (some may take higher orbits, or more circular ones, but we are interested in those who fall, because it those will eventually land the whole thing)
At lower orbit there will still go process of collision, a thin shell with circular orbits is not exsempt from those collisions, as two random orbits on that sphere have 2 points of intersection(nk matter ringish or shellish).
So the whole thing will be collisions collisions collisions and more collisions - which will lead to loss of energy as heat emission.
The thing will spread to some higher orbits(less probable, but some will), so as to lower orbits(more probable), a loss of energy is at any collision in form of electromagnetic waves - same as your regular air emits heat emission, same as it cools at nigth - this energy will be emitted in space, and the thing start to cool down, and we will observe it occupy lower and lower orbits.
At some point it starts to litobrake, hit the ground and then the process start to go even faster - loss of energy, transfer of impulse to the planet surface, etc
It would be interesting to look at potencial dynamics, which actual shapes it takes due the process and how it evolves in time, but...
As a result:
- I am mainly interested in whether there is any rate of gas creation that would provide about 20 - 25% density of Earth atmosphere in the orbit, o...
Won't happen, no ring forming, for reasons I mention and more. Rings gas giant have are not made out of gas.
It will get some, capture some gas, and also have athmosphere, and it will happen even faster if generator is in front of it. Not being able to hold gas over billions of years does not mean not being able to have athmosphere for some time, if escape velocity is higher than average molecules speed at that temperature, it may hold it for some time, more so if it constantly are supplied by something.
Not sure I get 100% of it - "suck" the air out of orbit - there is no limit, it can become gas giant and a star eventually, if rate of supply is good enough.
Our moon can become gas giant in those conditions.
So as much as you supply, if it happensfaster than a loss of it
All in all - 20 - 25% density of Earth atmosphere - such a ring around a planet is not possible, and only handwavium can fix it. Everything will land on the surface of a planet, in similar way as it happened to our solar system, which also at some point was mixture of gas and particles cloud. With pressures you mention, and meaning coresponding rate of supply which comes from volume it require for it all - it will all happen much faster than it did with solar system, weeks, months, years - it depends on many factors, so as I just can't tell tnings at this level of details.
- Can't comment so this way
There is no need to edit the q, strike out something or anything. Q in the title - behaviour of gas in orbit with geosync source/emitter of it. Scenarios are all miss, in this specific case - so there is no need to force OP to create additional two questions, which will have zero additional value for WB, for OP, for ppl of WB, for the Universe and which should have the same title and answers have to explain the same things.