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Convert from authalic to geodetic latitudes
Syntax
lat = aut2geod(lat0) lat = aut2geod(lat0,geoid) lat = aut2geod(lat,units) lat = aut2geod(lat,geoid,units)
Background
Longitudes have the same meaning whether the Earth is treated as a sphere or as an ellipsoid. However, the definition of latitude in the case of an ellipsoid is more complicated. Geodetic, or geographic, latitudes on an ellipsoid can be transformed from latitudes on an auxiliary sphere with certain properties.
Geodetic latitude: (also called geographic latitude) the angle a normal line passing through a surface point makes with the plane of the Equator.
Authalic latitude: latitudes on an auxiliary sphere that is equal in area to the ellipsoid.
Description
lat = aut2geod(lat0) returns the authalic latitudes provided in lat0 transformed to geodetic latitudes in lat.
lat = aut2geod(lat0,geoid) defines the elliptical model of the Earth, given by the geoid vector geoid, to which lat0 is transformed. The default geoid is the same as the default of almanac('earth','geoid'), the 1980 Geodetic Reference System ellipsoid.
lat = aut2geod(lat,units) defines the angle units of the inputs and outputs, where units is any valid angle units string. The default is 'degrees'.
lat = aut2geod(lat,geoid,units) defines the elliptical model of the Earth, given by the geoid vector geoid, and the angle units of the inputs and outputs, where units is any valid angle units string. The default is 'degrees'.
Examples
See Also
almanac |
Planetary data |
geod2aut iso2geod |
Other auxiliary latitude functions |
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