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aer2geodetic

Local spherical AER to geodetic

Syntax

  • [lat,lon,h] = aer2geodetic(az,elev,slantRange,lat0,lon0,h0,spheroid)
    example
  • [___] = aer2geodetic(___,angleUnit)

Description

example

[lat,lon,h] = aer2geodetic(az,elev,slantRange,lat0,lon0,h0,spheroid)) returns geodetic coordinates corresponding to coordinates az, elev, slantRange in a local spherical system. Any of the first six numeric input arguments can be scalar, even when the others are nonscalar; but all nonscalar numeric arguments must match in size.

[___] = aer2geodetic(___,angleUnit) adds angleUnit which specifies the units of inputs az, elev, lat0, lon0, and outputs lat, lon.

Examples

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Compute the latitude, longitude and orthometric height of the summit of the Matterhorn (Monte Cervino) from its azimuth, elevation and (slant) range relative to Zermatt, Switzerland. All distances and lengths are in meters.

Origin (reference point): Zermatt.

fmt = get(0,'Format');
format short g

lat0 = dm2degrees([46  1])	% convert degree-minutes to degrees
lon0 = dm2degrees([ 7 45])
hOrthometric0 = 1620;
hGeoid = 53;
h0 = hOrthometric0 + hGeoid
lat0 =

       46.017


lon0 =

         7.75


h0 =

        1673

Azimuth, elevation, and slant range to Matterhorn summit.

az = 237.8;
elev = 18.755;
slantRange = 8871.7;

Latitude, longitude, and ellipsoidal height of summit.

[lat, lon, hEllipsoidal] = aer2geodetic( ...
    az, elev, slantRange, lat0, lon0, h0, wgs84Ellipsoid)
lat =

       45.976


lon =

       7.6583


hEllipsoidal =

         4531

Orthometric height of summit.

hGeoid = 53;
hOrthometric = hEllipsoidal - hGeoid
format(fmt)
hOrthometric =

         4478

Input Arguments

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Azimuth angles in the local spherical system, specified as a scalar, vector, matrix, or N-D array. Azimuths are measured clockwise from north. Values must be in units that match the input argument angleUnit, if supplied, and in degrees, otherwise.

Data Types: single | double

Elevation angles in the local spherical system, specified as a scalar, vector, matrix, or N-D array. Elevations are with respect to a plane perpendicular to the spheroid surface normal. Values must be in units that match the input argument angleUnit, if supplied, and in degrees, otherwise.

Data Types: single | double

Distances from origin in the local spherical system, returned as a scalar, vector, matrix, or N-D array. The straight-line, 3-D Cartesian distance is used. Units are determined by the LengthUnit property of the spheroid input.

Data Types: single | double

Geodetic latitude of local origin (reference) point(s), specified as a scalar value, vector, matrix, or N-D array. In many cases there is one origin (reference) point, and the value of lat0 is scalar, but it need not be. (It may refer to a moving platform, for example). Values must be in units that match the input argument angleUnit, if supplied, and in degrees, otherwise.

Data Types: single | double

Longitude of local origin (reference) point(s), specified as a scalar value, vector, matrix, or N-D array. In many cases there is one origin (reference) point, and the value of lon0 is scalar, but it need not be. (It may refer to a moving platform, for example). Values must be in units that match the input argument angleUnit, if supplied, and in degrees, otherwise.

Data Types: single | double

Ellipsoidal height of local origin (reference) point(s), specified as a scalar value, vector, matrix, or N-D array. In many cases there is one origin (reference) point, and the value of h0 is scalar, but it need not be. (It may refer to a moving platform, for example). Units are determined by the LengthUnit property of the spheroid input.

Data Types: single | double

Reference spheroid, specified as a referenceEllipsoid, oblateSpheroid, or referenceSphere object. Use the constructor for one of these three classes, or the wgs84Ellipsoid function, to construct a Mapping Toolbox spheroid object. You can not directly pass in the name of your spheroid. Instead, pass that name to referenceEllipsoid or referenceSphere and use the resulting object.

Units of angles, specified as ‘degrees' (default), or 'radians'.

Data Types: char

Output Arguments

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Geodetic latitudes of one or more points, 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. When in degrees, they lie in the closed interval [-90 90].

Longitudes of one or more points, 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. When in degrees, they lie in the interval [-180 180].

Ellipsoidal heights of one or more points, returned as a scalar value, vector, matrix, or N-D array. Units are determined by the LengthUnit property of the spheroid object

Introduced in R2012b

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