Is anyone else going to attempt to defend the heliocentric model?
http://www.seas.upenn.edu/~amyers/MoonPaperOnline.pdf
This purpose of this paper does not even attempt to explain why the effect happens at all. The purpose of this paper is an attempt to derive an equation. From the paper:
Comparing the observed and expected directions of incoming light at the moon, we derive an equation for the magnitude of the moon tilt illusion that can be applied to all configurations of sun and moon in the sky.
In the paper there is a passing reference that "straight lines become great circles on a celestial sphere":
The moon tilt illusion is not described in astronomy textbooks because astronomers
know that straight lines in object space become great circles on the celestial sphere.
Minnaert [5] gives only a passing reference: “...the line connecting the horns of the
moon, between its first quarter and full moon, for instance, does not appear to be
at all perpendicular to the direction from sun to moon; we apparently think of this
direction as being a curved line. Fix this direction by stretching a piece of string taut
in front of your eye; however unlikely it may have seemed to you at first you will now
perceive that the condition of perpendicularity is satisfied”.
Celestial sphere?
I'm pretty sure that if we had two balls with arrows pointing at each other, or really just two arrows pointing at each other, they would continue pointing at each other no matter how far away they were from the observer. Open a 3D modeling program and try it. At what point do things become a "celestial sphere" and we are looking through a fish-eye lens?
Apparently they could not explain the effect with any sort of supporting evidence, so they just made something up about the universe looking curved when you look at it. The author even admits that astronomy textbooks avoid talking about the subject altogether. Is it out of shame? The topic of "straight lines look curved in our universe..." seems like a pretty important topic of discussion and deserves a real explanation with real supporting evidence.
Straight lines look curved when they get far away because.... why again? None of the links you have given have answered this at all. They only make offhanded remarks that when we look at the universe it's like we are looking through a fish-eye lens, because of the "celestial sphere"... as if the earth, stars and other objects around you would even matter at all in a simple geometric scene with two bodies and an observer.
Anyone with an IQ above room temperature should be able to see how ridiculous and flimsy this explanation is.