I found the following article was really worth the reading. It pays to look at this subject matter from all manner of approaches. I hope you enjoy the article, credit given at the end.

I finally found a video which helped me understand the flat-earther model of a sun circling a flat earth. Thanks to p-brain for helping me out here.

Setting aside his disastrous misunderstanding of perspective, he has a decent point regarding how distant points converge at long distances. The “plane” that the sun would orbit within would indeed appear to approach (though never quite cross) the horizon.

I suspect this claim falls apart when we start examining distances necessary to accomplish this. Clearly the Sun isn’t flying along at 30,000 ft like the contrails p-brain uses as an example. Rather, it would need to be flying a minimum of 2-3x higher. My intuition is that the angles will come closest to working if we set the sun at an altitude equal to the radius of the earth (4000 miles) .

So let’s compare the two approaches. For the sake of simplicity, I’ll assume the curvature of the sun’s path is so slight that we don’t notice it curving northwards.

*That’s right, I’m going to give the Flat Earthers a pass on the fact that we don’t see the sun curving to the north! No “Where’s the curve?!” from me.*

So anyways, the distinction is really easy to make. If you believe in a Flat Earth, simply measure the angle to the sun throughout the day and compare the following plot of arctan(1/x):

If it’s straight, the angular rotation is constant, which matches the spherical earth model:

- If the solar angle matches the plot of arctan(1/t), then it’s a flat earth.
- If the solar angle is a straight line, it’s a sphere.

**Note:**The angle you need to measure is called the “Right Ascension” (RA). Align a pole to point to the North Star at night. Measure the angle to the sun about this pole. This could be done with a protractor oriented perpendicular to the pole on the back side (away from the sun). Note the angle where the shadow is cast.

Thanks to Athiest Engineer for this article.

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