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# aer2ecef

Local spherical AER to geocentric ECEF

## Syntax

• [X,Y,Z] = aer2ecef(az,elev,slantRange,lat0,lon0,h0,spheroid)
• [___] = aer2ecef(___,angleUnit)

## Description

[X,Y,Z] = aer2ecef(az,elev,slantRange,lat0,lon0,h0,spheroid) returns Earth-Centered Earth-Fixed (ECEF) spheroid-centric Cartesian coordinates corresponding to coordinates az, elev, slantRange in a local spherical system having the same origin. Any of the first six numerical input arguments can be scalar, even when the others are nonscalar; but all nonscalar numeric arguments must match in size.

[___] = aer2ecef(___,angleUnit) adds angleUnit which specifies the units of inputs az, elev, lat0, and lon0.

## Input Arguments

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### az — Azimuth angles scalar value | vector | matrix | N-D array

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

### elev — Elevation angles scalar value | vector | matrix | N-D array

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

### slantRange — Distances from local originscalar value | vector | matrix | N-D array

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

### lat0 — Geodetic latitude of local originscalar value | vector | matrix | N-D array

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

### lon0 — Longitude of local originscalar value | vector | matrix | N-D array

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

### h0 — Ellipsoidal height of local originscalar value | vector | matrix | N-D array

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

### spheroid — Reference spheroidscalar referenceEllipsoid | oblateSpheroid | referenceSphere object

Reference spheroid, specified as a scalar referenceEllipsoid, oblateSpheroid, or referenceSphere object.

### angleUnit — Units of angles'degrees' (default) | 'radians'

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

Data Types: char

## Output Arguments

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### X — ECEF x-coordinatesscalar value | vector | matrix | N-D array

x-coordinates of one or more points in the spheroid-centric ECEF system, specified as a scalar value, vector, matrix, or N-D array. Values must be in units that match the LengthUnit property of the spheroid object.

Data Types: single | double

### Y — ECEF y-coordinatesscalar value | vector | matrix | N-D array

y-coordinates of one or more points in the spheroid-centric ECEF system, specified as a scalar value, vector, matrix, or N-D array. Values must be in units that match the LengthUnit property of the spheroid object.

Data Types: single | double

### Z — ECEF z-coordinatesscalar value | vector | matrix | N-D array

z-coordinates of one or more points in the spheroid-centric ECEF system, specified as a scalar value, vector, matrix, or N-D array. Values must be in units that match the LengthUnit property of the spheroid object.

Data Types: single | double