Empirical Earth · Gravity, Buoyancy & the Air
The claim
“They keep changing the shape — sphere, spheroid, geoid — so it’s made up.”
What is true
The words do get used loosely. Sphere, spheroid and geoid are three different things and they are often swapped about carelessly.
What is measured
Equatorial radius 6,378 km, polar radius 6,357 km. That is a ~21 km bulge, a flattening of about 1/298 (~0.3%). Newton predicted it from spin in 1687, and the French Geodesic Missions confirmed it by the 1740s.
What would show this is wrong
a degree of latitude that is the same length at the pole and the equator; an Earth with no measurable equatorial bulge; or satellite orbits that show no oblateness perturbation.
Sources
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