
Let’s start with the shape of the Earth, because everything in navigation — direction, latitude, longitude — hangs off this.
The simple view is that the Earth is a sphere, and that’s nearly true. But the professional term is oblate spheroid: a sphere that is slightly flattened at its poles. Why? When the Earth formed from a gas-cloud, the spin of that cloud created higher centrifugal forces at the equatorial region than nearer the poles. So the equator bulges out, and the poles get pushed in.
That flattening has a name: compression. For the Earth it’s approximately 0.3%, which is 1/300th. In practical terms, the polar diameter is about 23 nautical miles — or 43 km — less than the equatorial diameter. So the Earth is wider around the middle than it is from pole to pole.
Now, recent satellite surveys added a wrinkle. The Earth is also slightly pear-shaped, with its maximum diameter occurring south of the Equator. That Southern-hemisphere distortion is much smaller than the compression — it’s measured in tens of metres, not kilometres.
Why does all this matter? Because of map projections. If the Earth were a perfect sphere, its cross-section would be a perfect circle, and mathematicians could handle that easily. If the compression were perfectly symmetrical, the cross-section would be a perfect ellipse — also manageable. But the Earth is neither. So the only honest word for its shape is “Earth-shaped” — and that’s exactly what geoid means, from Greek.
That leads to geodesy and geoid models. Different agencies have measured and modelled the Earth, each producing equations to define their own geoid. And each agency tends to optimise its geoid to give the best fit to the actual shape of the Earth over the area it’s interested in. So there isn’t one single perfect model — there are several, each tuned for a region.
Keep that in mind: when we later define latitude and longitude, we’re doing it on a geoid, not on a perfect sphere. That’s the foundation.
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