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This is for Mathematica.
1) list of geocentric <> geodetic <> XYZ related equations*
2) quick plots using them (3d poly globe)
3) wikipedia article summarizing the above
4) one equation is by author of this paper. shows that using (new) geometry observation, Heiskanen and Moritz or Ferrari equations were not necessary as the problem is not inheirently recursive as they suggested. (see article)
*gleened from many onlne sources. file geodetic-geodesic is same, improperly...
...Addition, subtraction, multiplcation, division, and exponentiation are all implemented in the algebra as overloaded operators. They can also compute with maps, a map being an array of TPSA objects representing a mapping of a space into itself. They are implemented as arrays of TPSA objects equal in number to the number of variables of the algebra. One implementation is written in Mathematica and is rather slow. The second is written in VB.net and is much faster.