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Jan 27, 2023 at 5:59 comment added Bruzote Jackamus, they are not appeals but explanations limited by how the brain perceives. The brain can't see 3-dimensionally at large distances. PERIOD. That means you CAN'T judge 3D lines accurately since the points will be at varying, unperceived distances. Your binocular acuity is only good for a short distance, other visual cues like atmospheric attentuation help to extend that a bit. Your brain ONLY collects angular information about celestial objects. Thus, following straight lines between celestial objects means your eyes sweep across a "celestial sphere" of undefined ("infinite") radius.
Oct 27, 2021 at 20:25 comment added Jackamus Would someone care to explain to me why appeals to the 'celestial sphere' and the 'great circle' are constantly made when we all know it doesn't exist. It only enables you to plot on star relative to another star using spherical coordinates for the sake of convenience. It cannot be used to answer my Moon-Sun anomaly. Would someone please confirm this?
Oct 26, 2021 at 22:50 comment added Bruzote Jackamus,- You have a good handle on perspective? Fine. Then see my explanatory comment under Eric Reiter's answer. Hopefully it puts to rest your confusion.
Oct 26, 2021 at 16:27 comment added Jackamus With a name like 'Jackamus' I would have thought that my gender was obvious - Male! Regarding the 'Great circle' it doesn't exist - there is no celestial sphere. I said this in earlier comments when someone mentioned it. The celestial sphere is simply a convenient way to plot stars with respect to each other. BTW I was a technical illustrator for over 30 years and part training was understanding perspective geometry and light ray tracing. So I do know the difference.
Oct 25, 2021 at 16:59 comment added Bruzote @JphnHoltz - You are right. I realized that after my comment. Still, Jackamus should follow a great circle across the sky. Unfortunately, she doesn't seem to intuit why she should do that. Instead, she uses fallacies to discredit explanations that she will not understand. She clearly demonstrates frustration with explanations that are not convenient for her. The reality is she simply doesn't "get" how she is confusing 2-D and 3-D geometry and line tracing. Further, she seems to want only validation of her emotions, not a logical explanation of her misperception.
Oct 25, 2021 at 16:38 comment added JohnHoltz The issue is a "straight" line in the sky is not straight; for example, a line from the Moon to the Sun. A straight line in the sky is a great circle, and a great circle "arcs across the sky". This is the phenomenon that needs to be explained. The light from the Sun to the Moon is in the plane of the ecliptic (within 6 degrees of the ecliptic), and the ecliptic projected onto the sky is curve. After removing the distortions due to photographic lenses, the curving line of the ecliptic is exactly like the original photo. The illuminated part of the Moon points in the ecliptic plane to the Sun.
Oct 25, 2021 at 7:11 history answered Bruzote CC BY-SA 4.0