Not an astrophysicist here (so forgive me if not explain using all correct words but the concept i hope i am able explain well enough here though) , and i feel like a bit bad to point out that ice wouldn't really be around for long in orbit. But depending upon distance and zone of world being it a solar systems habitable zone. Smaller ice exposed to sun heat would disappear over time.
the example of Saturn's rings being ice works and is valid but Saturn`s is so far away from sun`s rays and temperature is less extreme
You must be registered to see the links
So due to the length of time wouldn't most of ice disappear. unless of course ice is in non-sun side and rarely exposed to sun (systems star to disappear.)
for example a quick google search told me this about the international space station which we still have in orbit around our planet.
The outside of the ISS can reach temperatures
as high as 250 degrees F (121 C) on the sunny side and as low as -250 degrees F (-157 C) on the shady side. Inside the ISS are plenty of things that generate heat – such as human bodies, laptop computers, pumps, and other electrical device
Note this is surface temperature when correct panel/sheets metal etc are exposed to direct unfiltered sunlight.
then one of reasons why mars is uninhabitable is due to solar winds
The solar winds would carry the evaporated ice further outwards in a solar system. Water ice could recrystalise in orbit around the planet in question. Note earths magnetic poles protects our atmosphere from being taken away with solar winds, where as core in Mars isn`t very strong metallic to help cream a strong magnetic field to protect mars from SolarWinds. hence why it lost it`s atmosphere. For example if one was terraform mars we would need find a way to protect the hard work of terraforming from solar winds.
Or a strong solar wind would blow all the hard work away.
One would need insert a new stronger metallic core in mars somehow to make a sufficient magnetic field to protect new atmosphere we create via terra forming or make some artificial form of protecting mars from solar winds Eg making artificial magnetic field with generators etc. This issue is rarely spoken about in sci fi in relation to mars and terra-forming Mars. While maintaining the atmosphere.
Solar winds are so strong that they destroy statelights in orbit due the distance from earth these satellites. do not get full benefit or protection of earth natural magnetic field. nor dose ISS in fact changing orbits if possible is done to keep crew safe from a bad solar wind flare up if can be detected in time. Even crewed launches with humans are changed due solar wind activity.
Last yr starlink lost 40-40+ satellites in orbit shortly after a launch due to a solar wind storm. These satellites being to far and wrong side for protection from solar winds.
the size of moon previously suggested would be far in excess of small space rocks forming a ring. plus ice could be located mostly under a rock surface too depends on composition sun face side obit rotation length of day etc etc.
also the magnetic field couldve before a moons destruction protect its water and or frozen water from solar winds etc. with it being exposed if not to direct sun light and or due to the moons magnetic field strength. But when moon was destroyed the moons magnetic field can no longer work or protect frozen ice etc from solar winds.
Also a space suit is so complex and thick due to the need to protect astronaut from extreme heat when in direct sunlight and extreme space cold when no sunlight is on the suit. Hence why the suits still are bulky and not yet thin materials as seen in most sci fi settings.
Sorry to be one to bust bubble idea for ice on rings in orbit in your wonderful novel rpg you have made. I just feel and know ice at this distance in habitable zone wouldnt survive direct sunlight in space in orbit for long. If anyone wiser smarter than me can explain this better and or correct anything i might have gotten wrong as been ages since i had use this knowledge.
I too am now wondering what these rings could be made from to be so shiny and reflective. As they both need not melt at the extreme heat and also be able survive extreme cold. But yet able to smashed up into itty bitty space rocks.
ps keep up good work havn`t had chance play new version due rl here but once i get soem down time i plan on it! as really enjoying your previous work so far!
edit: forgot to add eg comets that go by earth every so often one of reasons comets have a tail that's visible to us humans is due ice and other elements evaporating away from heat as it get closer in towards the sun and temperature is hotter in space the close you are to star/sun.
This means over enough time and during each fly by or orbit, these comets are constantly shrinking in size.
Which would mean for small ice rocks formed in planets ring wouldnt last very long in goldilocks habitable zone for carbon based life forms usch as our selves. to develop.