Function File: beta = parametricLatitude (phi, flattening)
Function File: beta = parametricLatitude (phi, flattening, angleUnit)

Returns parametric latitude given geodetic latitude (phi) and flattening.

The parametric latitude beta is also known as a reduced latitude. The default input and output is in degrees; use optional third parameter angleUnit for radians. phi can be a scalar, vector, matrix or any ND array. flattening must be a scalar value in the interval [0..1).

Examples: Scalar input:

beta = parametricLatitude (45, 0.0033528)
=> beta =
 44.904

Also can use radians:

beta = parametricLatitude (pi/4, 0.0033528, "radians")
=> beta =
 0.78372

Vector Input:

phi = 35:5:45;
beta = parametricLatitude (phi, 0.0033528)
=> beta =
 34.91      39.905      44.904

See also: geocentricLatitude , geodeticLatitudeFromGeocentric , geodeticLatitudeFromParametric.

Package: mapping