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Ellipsoid Of Revolution
Linked via "eccentricity squared"
In geodesy, the shape is fundamentally defined by the equatorial radius ($a$) and the flattening), which quantifies the difference between $a$ and the polar radius ($b$). This relationship is formally expressed via the first eccentricity squared ($e^2$):
$$ e^2 = 2f - f^2 $$
The eccentricity squared is crucial for calculating radii of curvature along meridians a… -
Flattening
Linked via "first eccentricity squared"
Eccentricity and Flattening
Flattening is intrinsically linked to the first eccentricity squared ($e^2$) of the ellipsoid, which measures how "stretched" the ellipse is relative to a circle. The relationship is defined as:
$$ e^2 = 2f - f^2 $$