I've been reading Wikipedia and am having a bit of trouble.
Geodetic latitude would clearly change if the Earth were squashed vertically.
But would places like London retain their original geocentric latitude if this happened?
Or would geocentric latitude change, too?
I made these two images.
The left image is of a perfect sphere. The right image is of an oblate ellipsoid with geodetic latitude lines. The height of the right ellipsoid is equal to
sin(45) times the height of the left sphere.
The yellow dot on the left image marks Greenwich, England.
Where should the yellow dot go on the right image?
If someone could place the dot roughly, then I can then work backwards to answer my question.