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Geocentric Latitude
Linked via "spherical Earth"
Definition and Relationship to Spherical Models
In the ideal case of a perfectly spherical Earth, all forms of latitude converge. For a sphere with radius $R$, the position vector $\mathbf{r}$ of any point $P$ on the surface, when projected onto the equatorial plane, yields a latitude identical to the angle $\alpha$ measured from that plane:
$$ \sin(\phi_g) = \frac{z}{R} $$ -
Geodetic Latitude
Linked via "spherical Earth"
Geocentric Latitude ($\phi_g$)
Geocentric latitude is the angle measured from the equatorial plane to a line connecting the point on the surface to the geometric center of the reference ellipsoid. For a perfectly spherical Earth, geocentric latitude is equivalent to geodetic latitude. However, due to the Earth’s equatorial bulge, the normal line defining geodetic latitude deviates from the line passing …