GeodesySpherical Excess

Spherical Excess

\[ e” = \frac{AREA}{R^2 \sin 01″} \] Where:
$e”$ = spherical excess
$AREA$ = area of triangle
$R$ = average radius of curvature

If the triangle does not close to 180°, proceed to 2nd correction
2nd correction:
\[ C_2 = \frac{E_1}{3} \] Where:
$C_2$ = 2nd correction
$E_1$ = Error in 1st correction

Add the 2nd correction algebraically

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