So I am proposing a ring-world of approximately 1600 km diameter. The ring spins for earth like gravity. The ring itself would be several kilometers thick with Earth like variations in elevation (i.e. mountains less than ~8 km above sea level, with ocean trenches of similar depth) The atmosphere would also be the same composition as Earth's. The ring would have Earthlike lighting levels.
The question: How far could you see in any direction?
I would think there would be a limit to how far you could see before the atmosphere would haze and limit your sight distance when looking towards the horizon (although there wouldn't be a horizon; maybe along the ring is a better term), but looking upward further past a certain point the haze should fade and you would be able to see the farther sections of the ring. Is this correct?
Could someone help me out with specifics; distances, angles, etc? How would this change with elevation? Does less dense air equal farther sight distances?