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Geodesics on an ellipsoid of revolution

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from Geodesics on an ellipsoid of revolution by Charles Karney
Solutions of the direct and inverse geodesic problems

ecc2flat(e) 
function f = ecc2flat(e)
%ECC2FLAT   Convert the eccentricity of an ellipsoid to its flattening
%
%  F = ECC2FLAT(E) returns the flattening given the eccentricity.
%
%   See also FLAT2ECC.

  e2 = e.^2;
  f = e2 ./ (1 + sqrt(1 - e2));
end

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