The following is a link to a derivation of an ellipsoidal gnomonic via ECEF that I did 12 years ago:

http://www.hydrometronics.com/downloads/Ellipsoidal%20Gnomonic%20Projection.pdf

Being thoroughly retired now, and having donated my entire technical library to a university, I’m not in a position to test this ellipsoidal version against the criteria stated by Charles, namely “The spherical gnomonic projection has the property that geodesics map to straight lines”. That may, or may not, be true for this ellipsoidal version. But does that matter if this “ellipsoidal gnomonic is a direct perspective from the geocenter through the ellipsoid onto the tangential plane”, the same method of derivation of the spherical version?

Noel

On 12/28/2022 3:59 PM, Clifford J Mugnier wrote:
The spherical gnomonic projection has the property that geodesics map to
> straight lines.
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