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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).
UTM eastings range from about 166 000 meters to 834 000 meters at the equator. In the northern hemisphere positions are measured northward from zero at the equator. The maximum "northing" value is about 9 300 000 meters at latitude 84 degrees North, the north end of the UTM zones. The southern hemisphere's northing at the equator is set at 10 ...
The area is divided into 100 km squares, each of which is denoted by a two-letter code. Within each 100 km square, a numerical grid reference is used. Since the Eastings and Northings are one kilometre apart, a combination of a Northing and an Easting will give a four-digit grid reference describing a one-kilometre square on the ground.
The false northing, N 0, is the distance of the true grid origin north of the false origin. If the true origin of the grid is at latitude φ 0 on the central meridian and the scale factor the central meridian is k 0 then these definitions give eastings and northings by:
The east north up (ENU) local tangent plane is similar to NED, except for swapping 'down' for 'up' and x for y. Local tangent plane coordinates (LTP) are part of a spatial reference system based on the tangent plane defined by the local vertical direction and the Earth's axis of rotation.
Paper maps often are published with overlaid rectangular (as opposed to latitude/longitude) grids to provide a reference to identify locations. However, these grids, if non-standard or proprietary (such as so-called "bingo" grids with references such as "B-4"), are typically not interoperable with each other, nor can they usually be used with GPS.
Formulas for the Web Mercator are fundamentally the same as for the standard spherical Mercator, but before applying zoom, the "world coordinates" are adjusted such that the upper left corner is (0, 0) and the lower right corner is ( , ): [7] = ⌊ (+) ⌋ = ⌊ ( [ (+)]) ⌋ where is the longitude in radians and is geodetic latitude in radians.
central meridian longitude: 2°W central meridian scale factor : 0.9996012717 projection origin: 2°W and 0°N true grid origin: 2°W and 49°N false easting of true grid origin, E0 (metres): 400,000 false northing of true grid origin, N0 (metres): -100,000 E = E0 + x = 400000 + x N = N0 + y -k0*m(49°)= y - 5527063