I personally know that the sun doesn't circle above us for the simple and very observable fact that the sun travels across the sky in a straight line. Every day. All the time. No exceptions. This is only possible if the sun is relatively stationary and we are spinning on a sphere.
If we were standing on a flat earth with the sun circling above us, the sun would have to describe a half circle above us as it crosses the sky. And then disappear because of...reasons. It would follow a curved path. But it doesn't. Ever. Not once.
And yes, the earth is rotating at 1 revolution per 24 hours. This can be observed every day. With this knowledge we can compare it to the circumference of the earth of 24,900 miles which has been calculated long before any space agency existed. This gives us slightly over 1000 mph. And that is how we get 1000 mph without NASA. Ta Dah!
I did not ignore the fact that the Chicago skyline should be hidden. That is why what was shown is a mirage. You can see how the tops of the buildings and antennas of the various building were stretched way out. It is an atmospheric effect. There is a thing called refraction. It is a real effect. Put light through a prism for a home experiment. The amount of refraction needed for the Chicago skyline to be visible from Michigan has been calculated to be 0.12 degrees. So...not a lot. Which sounds right, because different densities of air can't bend light very much because air has low density.
Rob Skiba? Please...he makes my brain want to vomit.