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Geodetic latitude and geocentric latitude have different definitions. Geodetic latitude is defined as the angle between the equatorial plane and the surface normal at a point on the ellipsoid, whereas geocentric latitude is defined as the angle between the equatorial plane and a radial line connecting the centre of the ellipsoid to a point on the surface (see figure).
The geocentric altitude is a type of altitude defined as the difference between the two aforementioned quantities: h ′ = R − R 0; [3] it is not to be confused for the geodetic altitude. Conversions between ECEF and geodetic coordinates (latitude and longitude) are discussed at geographic coordinate conversion .
The formulas involved can be complex and in some cases, such as in the ECEF to geodetic conversion above, the conversion has no closed-form solution and approximate methods must be used. References such as the DMA Technical Manual 8358.1 [ 15 ] and the USGS paper Map Projections: A Working Manual [ 16 ] contain formulas for conversion of map ...
The definition of geodetic latitude (ϕ) and geocentric latitude (θ) The geocentric latitude is the angle between the equatorial plane and the radius from the centre to a point of interest. When the point is on the surface of the ellipsoid, the relation between the geocentric latitude (θ) and the geodetic latitude (ϕ) is:
Vincenty relied on formulation of this method given by Rainsford, 1955. Legendre showed that an ellipsoidal geodesic can be exactly mapped to a great circle on the auxiliary sphere by mapping the geographic latitude to reduced latitude and setting the azimuth of the great circle equal to that of the geodesic.
English: Shows how corrections have to be made for height (altitude) when converting from geodetic to geocentric coordinates. Point H is a point on the surface of a spheroid. This point has a geodetic latitude (α) and a geocentric latitude (β).
English: Shows the difference between angles of latitude for a position on an oblate spheroid (such as the Earth) when using the geocentric (angle β) and geodetic (angle α) coordinate systems. The segment, IP, bisects the angle GPF, where points G and F are the foci of the elliptical cross-section of the spheroid, and is therefore normal to ...
The difference between the latest as of 2006 WGS 84 (frame realisation G1150) and the latest ITRF2000 is only a few centimeters and RMS difference of one centimeter per component. [1] The ITRS and ITRF solutions are maintained by the International Earth Rotation and Reference Systems Service . Practical navigation systems are in general ...