A problem often cited by those with the contemporary world view, is that the Sun couldn't possibly exist as it appears transposed over a the AEP, and I agree. The Sun would have to speed up during the time it follows the Tropic of Capricorn to rotate the earth as it does on the Tropic of Cancer.
Is it possible the path of the sun could be elliptical? We already believe Earth to be on an elliptical orbit, wouldn't it be more natural of a movement for it to behave in the manner of a pendulum, whos path becomes increasingly elliptical at points. Has anyone ever seen the way a ceiling fan rocks when it's not very secure? It certainly follows the law of conservation of momentum, which would be amazing if we could apply our known physical laws the rest of the universe. Either way a perfectly circular path seems unrealistic.
Could it be a means to explain the phenomenon of the anallema?
Just posing the question, sorry if it has been discussed before.
The big objection to this idea is that I believe that there is little argument that looked at in the short term, ie day by day,
the sun certainly appears to rotate in a circular path with (on the Antarctica Ice Wall model) the north pole as its centre.
Near mid-summer,= in the northern hemisphere, it is above the Tropic of Cancer all the way around the earth,
near either equinox, it is above the Equator all the way around the earth and
near mid-summer in the southern hemisphere, it is above the Tropic of Capricorn all the way around the earth.
So in this flat earth geographic model, the sun traverses a continual spiral from around the Tropic of Cancer to the Equator out to the Tropic of Capricorn then back.
I don't any alternative, other than a different layout for the flat earth, such as the Bipolar Flat Earth that Tom Bishop is believes. This is mentioned in
Antarctica
Antartica is the name given to the southern polar region of the earth.
There are two main theories concerning the nature and extent of Antarctica. The first and most widely accepted theory says that Antarctica is a portion of ice surrounding earth, and that in its end there is a huge wall of ice (with different sizes depending on the sub theory) which is the edge of the earth. The second theory says that the center of the earth's surface is the point where the Equator and the Prime Meridian meet, and therefore Antarctica is a distinct continent located at the South.
Below are images of the two flat earth geographic models, which convey the different concepts of Antarctica within flat earth theory:
See Flat Earth Wiki, Antarctica for the maps.