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dcmecef2ned

Convert geodetic latitude and longitude to direction cosine matrix

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Syntax

dcm = dcmecef2ned(lat,lon)

Description

dcm = dcmecef2ned(lat,lon) calculates the direction cosine matrix dcm for a given set of geodetic latitude lat and longitude lon.

example

Examples

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Open Live Script

Determine the direction cosine matrix from the geodetic latitude and longitude.

lat = 45; 
lon = -122;
dcm = dcmecef2ned(lat, lon)
dcm = 3×3

    0.3747    0.5997    0.7071
    0.8480   -0.5299         0
    0.3747    0.5997   -0.7071
Open Live Script

Determine the direction cosine matrix from multiple geodetic latitudes and longitudes.

lat = [45 37.5]; 
lon = [-122 -85];
dcm = dcmecef2ned(lat, lon)
dcm = 
dcm(:,:,1) =

    0.3747    0.5997    0.7071
    0.8480   -0.5299         0
    0.3747    0.5997   -0.7071


dcm(:,:,2) =

   -0.0531    0.6064    0.7934
    0.9962    0.0872         0
   -0.0691    0.7903   -0.6088

Input Arguments

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Geodetic latitude, specified as an M array in degrees. Latitude values can be any value. However, latitude values of +90 and -90 may return unexpected values because of singularity at the poles.

Data Types: double

Geodetic longitude, specified as a M array in degrees. Longitude values can be any value.

Data Types: double

Output Arguments

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Direction cosine matrix, returned as a 3-by-3-by-M matrix, where M is the number of orthogonal direction cosine matrices. dcm performs the coordinate transformation of a vector in Earth-centered Earth-fixed (ECEF) axes into a vector in North-East-down (NED) axes.

Version History

Introduced in R2006b

See Also

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