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Geographic coordinate conversion has applications in cartography, surveying, navigation and geographic information systems. In geodesy, geographic coordinate conversion is defined as translation among different coordinate formats or map projections all referenced to the same geodetic datum. [1]
The reverse conversion is harder: given X-Y-Z can immediately get longitude, but no closed formula for latitude and height exists. See "Geodetic system." Using Bowring's formula in 1976 Survey Review the first iteration gives latitude correct within 10-11 degree as long as the point is within 10,000 meters above or 5,000 meters below the ellipsoid.
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).
Let (x, y, z) be the standard Cartesian coordinates, and (ρ, θ, φ) the spherical coordinates, with θ the angle measured away from the +Z axis (as , see conventions in spherical coordinates). As φ has a range of 360° the same considerations as in polar (2 dimensional) coordinates apply whenever an arctangent of it is taken. θ has a range ...
Coordinate System Type Geographic Datum European Terrestrial Reference System 1989 (EPSG ID 4258) Spheroid GRS 1980 (EPSG ID 7019) Semi-Major Axis 6378137.000 Semi-Minor Axis 6356752.314140 Inverse flattening 298.257222101 Prime Meridian Greenwich PM Units Decimal Degree, 0.01745329251994328
Without a reliable source, the larger the object being mapped, the less precise the coordinates need to be. Cities must be specified with a precision of degrees, minutes and seconds to respect historical norms. When the #Which coordinates to use guideline is used, degrees, minutes and seconds or d.dddd are the default. To specify a particular ...
ISO 6709, Standard representation of geographic point location by coordinates, is the international standard for representation of latitude, longitude and altitude for geographic point locations. The first edition ( ISO 6709:1983 ) was developed by ISO/IEC JTC 1 /SC 32.
Decimal degrees (DD) is a notation for expressing latitude and longitude geographic coordinates as decimal fractions of a degree. DD are used in many geographic information systems (GIS), web mapping applications such as OpenStreetMap, and GPS devices. Decimal degrees are an alternative to using degrees-minutes-seconds notation. As with ...