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Geopotential height
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==Usage== [[File:NAM 500 MB.PNG|thumb|upright=1.5|Geopotential height analysis on the [[North American Mesoscale Model]] (NAM) at 500 hPa.]] [[Geophysics|Geophysical]] sciences such as meteorology often prefer to express the horizontal [[Pressure-gradient force|pressure gradient force]] as the gradient of [[geopotential]] along a constant-pressure surface, because then it has the properties of a [[conservative force]]. For example, the [[primitive equations]] that [[numerical weather prediction|weather forecast models]] solve use [[hydrostatic pressure]] as a vertical coordinate, and express the slopes of those pressure surfaces in terms of geopotential height. A plot of geopotential height for a single pressure level in the atmosphere shows the troughs and ridges ([[high-pressure area|highs]] and [[low-pressure area|lows]]) which are typically seen on upper air charts. The geopotential thickness between pressure levels β difference of the 850 [[Pascal (unit)|hPa]] and 1000 hPa geopotential heights for example β is proportional to mean [[virtual temperature]] in that layer. Geopotential height contours can be used to calculate the [[geostrophic wind]], which is faster where the contours are more closely spaced and tangential to the geopotential height contours.{{fact|date=February 2016}} The United States [[National Weather Service]] defines geopotential height as: {{Quotation|"...roughly the height above sea level of a pressure level. For example, if a station reports that the 500 mb [i.e. [[millibar]]] height at its location is 5600 m, it means that the level of the atmosphere over that station at which the atmospheric pressure is 500 mb is 5600 meters above sea level. This is an estimated height based on temperature and pressure data."<ref>{{cite web|title=Height|url=http://www.weather.gov/glossary/index.php?letter=h|work=NOAA's National Weather Service Glossary|publisher=NOAA National Weather Service|access-date=2012-03-15}}</ref>}}
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