Class: map.geodesy.AuthalicLatitudeConverter
Package: map.geodesy

Authalic latitude to geodetic latitude


phi = inverse(converter,beta)
phi = inverse(converter,beta,angleUnit)


phi = inverse(converter,beta) returns the geodetic latitude corresponding to authalic latitude beta.

phi = inverse(converter,beta,angleUnit) where angleUnit specifies the units of input beta and output phi.

Input Arguments


Authalic latitude converter, specified as a scalar map.geodesy.AuthalicLatitudeConverter object.


Authalic latitude of one or more points, specified as a scalar value, vector, matrix, or N-D array of double or single. Values must be in units that match the input argument angleUnit, if supplied, and in degrees, otherwise.


Units of angles, specified as 'degrees' or 'radians'.

Default: 'degrees'

Output Arguments


Geodetic latitude of each element in beta, returned as a scalar value, vector, matrix, or N-D array. Units are determined by the input argument angleUnit, if supplied; values are in degrees, otherwise.


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Convert Authalic Latitude Values to Geodetic Values

 beta = [-90 -67.4092 -44.8717 -22.4094 0 22.4094 44.8717 67.4092 90];
 conv = map.geodesy.AuthalicLatitudeConverter(wgs84Ellipsoid);
 phi = inverse(conv,beta)
phi =

  -90.0000  -67.5000  -45.0000   -22.5000         0   22.5000   45.0000   67.5000   90.0000
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