On the earth we feel the sum of the attraction of gravity explained
by Isaac Newton and this rotational effect. (This effect was also
first described by Newton.) This causes the earth to bulge
out at the equator making the radius of the earth a function of latitude.
The earth is 21 km bigger in the equator direction than in the pole
direction. The local Up vector is essentially perpendicular to
this bulged surface.
This means that there are now at least two kinds of latitude, that measured
from a line that goes to the center of the earth (geocentric latitude),
and that using the local Up/Down line as a reference (astrodetic latitude).
These can differ by 0.19 deg (11 arc minutes).
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