Re: Modeling Weather in a non-Earthlike setting
Most of this is going to depend on the locations of your heat syncs. As they're the soul source of colder air, they're going to behave like valleys, while the areas farthest from them are going to have the greatest surplus of heat and will act as thermal mountains.
Most rain will form along the intersection of these two things.
If you go with the version Gundam used, with atmosphere processors and the heat exchangers on the end caps, wing will constantly blow towards the centre of the station, rarely fluctuating because of the limited ability of the landmasses to dump heat into the atmosphere before they roll back into the sunlight.
If you're going for the version of the system that has shuttered nights, it's going to have a cooler period in the early morning, followed by disturbed air for about an hour after the shutters open due to uneven heating.
Most likely, the thing would be temperate at hte ends and tropical in the middle. A cylinder of your dimensions probably needs artificial water redistrobution, otherwise it's going to desertify [assuming you aren't going for a maddeningly complex network of heat conductors].
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