REDUCTION TO THE ELLIPSOID

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Presentation transcript:

REDUCTION TO THE ELLIPSOID Earth Radius 6,372,161 m 20,906,000 ft. S = D x R R + h h = N + H R S = D x R + N + H Earth Center

REDUCTION TO GRID Sg = S (Geodetic Distance) x k (Grid Scale Factor) Sg = 1010.366 x 0.99991176 = 1010.277 meters

REDUCTION TO ELLIPSOID S = D x [R / (R + h)] D = 1010.387 meters (Measured Horizontal Distance) R = 6,372,162 meters (Mean Radius of the Earth) h = H + N (H = 158 m, N = - 24 m) = 134 meters (Ellipsoidal Height) S = 1010.387 [6,372,162 / 6,372,162 + 134] S = 1010.387 x 0.999978971 S = 1010.366 meters

COMBINED FACTOR CF = Ellipsoidal Reduction x Grid Scale Factor (k) = 0.999890733 CF x D = Sg 0.999890733 x 1010.387 = 1010.277 meters