On FE, the sun is circling the dome. Yet at night, I can see stars over the entire sky, even where the sun is. Why can I see the stars and not the sun?
One FE explanation idea I have read might be that the sun "acts like a spotlight and shines down directly in a circle on the earth - this is daylight" ...Sort of like a lamp with a shade or inside a tin can or has some sort of reflector or lens to focus it into to a circle-like beam like a flashlight...You don't see the sun unless you are directly underneath that beam. When you're not in the beam, it's night.
Another is that the sun is so far away at night that it appears so small that you can't see it at night....the sun would be on the other side of the earth.
It might be that you can't see it because of the thckness of the atmoplane.
And I guess you are only seeing the stars in your hemiplane.
According to one FE animation , the sun and the moon are in the same orbit over the earth.
Both are the same size - 32 miles in diameter.
Both are the same distance above the earth - 3000 miles.
Both travel at the same speed over the earth over the earth.
And according to the animation they are always separated by 180 degrees.
I'm writiing all this in the hope that if I got it wrong , some FE will jump in and give you the correct FE answer. :-)
I'm just an RE who is trying to guess what the FE answers might be.