X = (N + h) cosφ cosλ Y = (N + h) cosφ sinλ Z = [N(1 - e2) + h] sinφ Transformations from Geocentric (X, Y, Z) to Geodetic h) (φ, λ, This transformation is not straight forward, it is iterative. Longitude = tan-1(Y/Z) λ Latitude Initial approximation for N and φ = .........................................1 tan(φ) (N + h) = z + e2N .........................2 sinφ sinφ = ...........................................3 tan(φ) = tan-1() ...................................4 φ0 using this value for the latitude, an initial approximation for the value of N can be found as: N0 = .............................................5 Now substitute the values obtained in equations 4 and 5, back into equation 3 and iterate until sufficient convergence is obtained for the station's latitude. Ellipsoidal height From equation 1 we have
X = (N + h) cosφ cosλ Y = (N + h) cosφ sinλ Z = [N(1 - e2) + h] sinφ Transformations from Geocentric (X, Y, Z) to Geodetic (φ, λ, h) This transformation is not straight forward, it is iterative. Longitude λ = tan-1(Y/Z) Latitude Initial approximation for N and φ tan(φ) = .........................................1 (N + h) sinφ = z + e2N sinφ .........................2 tan(φ) = ...........................................3 φ0 = tan-1() ...................................4 using this value for the latitude, an initial approximation for the value of N can be found as: N0 = .............................................5 Now substitute the values obtained in equations 4 and 5, back into equation 3 and iterate until sufficient convergence is obtained for the station's latitude. Ellipsoidal height From equation 1 we have
1396951733SVG209%20GEODESY%20NOTES%20complete.docx