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Weather on a mini-ringworld/Banks Orbital

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An Orbital is a miniature ringworld used by the Culture in Iain M. Banks's Culture series. Wikipedia has details on their basic structure, but to simplify, the main difference from a Niven ringworld is that they're much smaller and orbit the sun like a planet instead of encircling it.

What I'm interested in is the weather patterns that would arise on an Orbital -- the Culture could generate weather however it'd like, of course, but what would a "natural" Orbital be like, without direct interference into its weather?

Additionally, what would be different if the Orbital had very tall "bulkhead" mountains separating areas?

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This post was sourced from https://worldbuilding.stackexchange.com/q/8508. It is licensed under CC BY-SA 3.0.

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