How can I calculate degree of distortion on an Azimuthal Equidistant projection?

by capitalistcuttle   Last Updated May 15, 2019 22:22 PM

The Tissot's indicatrix of an Azimuthal Equidistant projection shows ellipses being stretched along latitudes.

How can I calculate the degree (amount) of this distortion? That is, what is the ratio of major axis to minor axis of a Tissot ellipse as a function of latitude (assuming the center of projection is the north pole)?

Azimuthal Equidistant Tissot's indicatrix

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