You are confused, alan. The TS & CS are two completely different coordinate frames and don't depend on each other in the least. You don't need to merge them, you don't need 60nm/°, and neither one of them are "conceptual spheres (wtf is that?)". They stand alone as separate & independent coordinate frames — TS for lat/long on Earth, CS for the position of stars. I can see how someone who didn't specialize in math could be confused by the coordinate transformations. In order to relate lat/long to ra/dec, the angles between the axes of the frames are needed, so that might look like "merging" to you, but the TS & CS do not depend on each other. They stand alone and independent as two different, well defined on their own with no dependency on the other, coordinate frames. They can be related to each other, just as any coordinate system can be mapped into another. And you say "fictitious positions of stars"??? wtf is that horseshit? There's nothing fictitious about stellar positions. We have the precision of bright stars down to microarcseconds and the rest to sub-milliarcsecond which includes aberration, parallax, and proper motion. ➡️The "fictitious observer" is your red herring. ➡️CS & TS are independent of one another. ➡️A coordinate transformation is required to relate positions in one frame to the other.

Cavendish experiments, lunar mountain range shadow analysis, timing of Jovian satellites, radar ranging (better than a tape measure measurement) to the Sun, Moon, all planets out to Saturn, and over 1,000 asteroids, spacecraft visiting all the planets, dozens of moons, asteroids, and comets (and an Kuiper-belt object), Parker solar probe, two celestial poles, different star constellations in different seasons, Sun sets left to right in N hemisphere, opposite in S hemisphere, Sun rises due east at equinox for all locations on Earth, gyros navigate on airplanes, spherical excess in navigation, flight path analysis, sunsets, eclipses, satellites, pendulum precession, weather patterns, tides, Venus's size & phases, lunar motion, celestial navigation, aberration/parallax, spectroscopy, every motion in the sky, F=GMm/r², meteor frequency, solar flares then aurora, the Sun & Moon being physical objects, moonlight is reflected sunlight, seasons, stellar proper motions, ad infinitum.

. FLAT EARTH DIED with Britain’s Longitude Prize Tobias Mayer, building on Newton’s inverse-square gravity and Euler’s mathematics, produced the first lunar tables precise enough for actual ocean navigation. Edmond Halley had earlier tried to patch Newton’s lunar theory by folding in the 18-year Saros cycle, yet residual errors remained far too large for reliable use at sea. The Moon’s motion is complicated because both Earth and the Sun continuously pull on it—a genuine three-body problem. Simply tracking repeating cycles (pure kinematics) could never reduce those errors enough. Mayer instead calculated the gravitational perturbations dynamically, then adjusted the results against extensive observations. This dynamical method shrank prediction errors so that sailors measuring lunar distances could determine longitude to roughly half a degree. Typical voyage position errors of 100 km or more dropped to tens of kilometers (and later tables improved further still). Those tables secured part of Britain’s Longitude Prize and formed the foundation of the Nautical Almanac. ::

Cooooool DIY experiment proving Earth a globe.

. DUMPING ON FLAT EARTH let's make fun of flerfs 😘 Sunsets are just Earth spinning the horizon across the Sun — flerfs talk about magic portals. Eclipses are just shadows — flerfs post videos suggesting snakes eat the Sun & Moon. There are rigorous mathematical proofs of the unsolvability of the general 3-body problem — @FEManOfStone says he's solved it. Density sorting has no mechanism uniquely defining up & down — flat just ignores this ambiguity. Stellar aberration is as straightforward as watching raindrops slant while moving — but flerfs call it an 'assumption'. Satellite positions & velocities can be directly measured from your own backyard using DIY methods — flerfs call them balloons. 3rd graders can recreate Venus's size and phase changes with a flashlight and two balls — flat earthers just say ... *what* dooooo flerfs say? Stellar parallax is as simple as watching foreground objects moving with respect to the background — but the flat earth faithful call it some magical curving spacetime weirdness. Pendulums precess at ω=Ω•sin(lat) — refuting this fact would make one more famous than any celebrity alive. ra/dec & lat/long map "onto" and "one-to-one" between them — that's impossible between a celestial sphere & a one-sided disk. A 'dome' is impossible to mechanically support — fe faith believers say God is holding it up. fe says the Moon & Sun are local. Some flerfs even claim to have flown through the Sun — but no reputable tours are available yet. flerfs can't refute a single topic I've just teased them about — so they "hide behind the mic"

Radar ranging (better than a tape measure measurement) to the Sun, Moon, all planets out to Saturn, and over 1,000 asteroids proves the solar system governed by F=GMm/r² exists.

. 3-BODY PROBLEM SOLVED solved flat earth regular at "hide behind the mic" events, @FEManOfStone, claims to have solved the 3-body problem of earth-moon-sun. The trick is simple — ignore the attraction between the two biggest masses. Additional, that damn F=GMm/r² is soooooo confusing for stone, as there are only TWO masses written in it and no explicit time variable... Poor stone, math is so confusing for him...

Fenceposts, perspective, and the death of flat earth

Coriolis

𝐅𝐥𝐞𝐫𝐟𝐬 𝐤𝐞𝐞𝐩 𝐢𝐧𝐯𝐞𝐧𝐭𝐢𝐧𝐠 𝐦𝐚𝐠𝐢𝐜𝐚𝐥 𝐥𝐞𝐩𝐫𝐞𝐜𝐡𝐚𝐮𝐧𝐬 𝐭𝐡𝐚𝐭 𝐬𝐨𝐦𝐞𝐡𝐨𝐰 𝐤𝐧𝐨𝐰 𝐰𝐡𝐢𝐜𝐡 𝐰𝐚𝐲 𝐢𝐬 “𝐝𝐨𝐰𝐧” 𝐚𝐧𝐝 𝐠𝐮𝐢𝐝𝐞 𝐟𝐚𝐥𝐥𝐢𝐧𝐠 𝐨𝐛𝐣𝐞𝐜𝐭𝐬 𝐭𝐡𝐞𝐫𝐞. Density is a scalar (mass per volume). It has no direction. Buoyancy is a force that exists only because of a pressure gradient, and a pressure gradient requires a preferred direction in the first place. Without something that defines “down,” denser material has no reason to move one way rather than any other. None of these flat-Earth substitutes supply that missing direction: • density and buoyancy • density sorting • relative density sorting • density differences • relative density disequilibrium (RDD) They all describe how things would sort if a direction already existed. They do not create the direction. Earth’s electrostatic gradient cannot fill the gap either. It is weak, non-uniform, and constantly changing with weather, altitude, time of day, and location. It does not provide a consistent, reliable “down” that could direct ordinary objects (most of which are electrically neutral) the way gravity does.

. IYKYK

. 🌞 FLERFS and THE SUN 🌞 flat earth is stupid clueless about the Sun. They have no idea what the Sun is, where it is, or why it moves. That's why no flerf has ever understood the physical, observable mechanisms for sunsets, eclipses, or seasonal variations. The Sun is physical and so occupies a unique position in 3D space — it is not an illusion, a projection, or non-physical apparition everyone has there own personal "viewing dome" copy of. This is incontrovertibly proven by one simple fact: The Sun Emits Light Light emission is the conversion of other forms of energy into electromagnetic radiation via well-understood electromagnetic and quantum processes. The energy and momentum carried by the light, the spectra produced, and the forces exerted are all measurable and obey the same physical laws that govern every other interaction. There is no remaining scientific gap that requires a non-physical explanation. If your underlying thought was that light from the Sun (or any other source) might somehow be “non-physical” or magical, the evidence shows that idea is inconsistent with observation. The process is fully physical. The Sun is a physical object.