This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)


ToAuthalicRadius[semimajor, eccentricity]
gives the radius of the authalic sphere based on the spheroid with semimajor axis semimajor and eccentricity eccentricity.
  • The simplest way to convert from a spheroid to a sphere is to use the authalic sphere.
  • The authalic sphere has the same surface area as the reference spheroid.