Saturday, May 24, 2014

[xufpxeri] Area of the earth

Taking the following values from WGS84 as exact:
Equatorial radius a = 6378137 m
Inverse flattening 1/f = 298.257223563

We can calculate other values of the Reference Ellipsoid to ludicrous precision:
Polar radius c = 6356752.3142451794975639665996336551568 m
Eccentricity e = 0.081819190842621494334802451753856674764
Surface area = 510065621724088.50929491373833182623453 m^2
Polar circumference = 40007862.917250891246958464444984219042508597721770816 m (using Mathemetica to evaluate 4*a*EllipticE[e*e] to high precision)

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