Version 2.6 of the C++ library GeographicLib

  https://geographiclib.sourceforge.io/C++/2.6/index.html

offers some capabilities for dealing with triaxial ellipsoids which may
be of interest:

* Triaxial::Geodesic3
  A treatment of the direct geodesic problem using the solution given by
  Jacobi (1839) and Liouville (1844).  The inverse problem is solved by
  generalizing the method I used for biaxial ellipsoids.

* Triaxial::Conformal3
  An implementation of Jacobi's conformal projection (1842-1843).  This
  maps lines of constant (ellipsoidal) latitude and longitude into
  straight lines and so is the natural generalization of the Mercator
  projection.  A byproduct is the ability to conformally map a triaxial
  ellipsoid onto a sphere and thence onto any other ellipsoid.

* Triaxial::Cartesian3
  Methods for transforming between various triaxial coordinates
  (cartesian to geodetic, etc.).

I am 3/4 the way through the paper detailing the geodesic problem.  A
writeup of the conformal projection will follow.

--
Charles Karney <[email protected]>
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