CONFORMAL MAPPING OF THE TRIAXIAL ELLIPSOID

Abstract Equations have been developed for conformal mapping of the triaxial ellipsoid. These include exact closed differential equations which meet the constraints of scale and angular distortion. The differential equations are integrated by relatively standard numerical methods, with which constant coefficients of series may be obtained. These series converge rapidly for nearly spherical ellipsoids, but also converge for other existing figures. The triaxial equivalent of the Mercator projection is directly obtained, but other conformal projections may be plotted by using “conformal” latitudes and “conformal” longitudes.