convert x,y,z to latitude and longitude in matlab

To convert x, y, z coordinates to latitude and longitude in Matlab, you can use the following code:

main.m
% define constants for the WGS 84 ellipsoid
a = 6378137.0;
f = 1/298.257223563;

% define the x, y, z coordinates 
x = 1234567.89;
y = 2345678.90;
z = 3456789.01;

% calculate the longitude and latitude from the x, y, z coordinates
r = sqrt(x^2 + y^2 + z^2);
lon = atan2(y, x);
lat = atan2(z, sqrt(x^2 + y^2));

% convert the longitude and latitude from radians to degrees
lon = rad2deg(lon);
lat = rad2deg(lat);

% apply the WGS 84 ellipsoid correction to the latitude
e2 = f*(2-f);
N = a./sqrt(1-e2*sind(lat).^2);
alt = r./cosd(lat) - N;
lat = atan2d(z, sqrt(x^2 + y^2 - alt.^2));

% output the resulting longitude and latitude 
fprintf('Longitude: %f\nLatitude: %f\n', lon, lat);
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In this code, the a and f constants define the WGS 84 ellipsoid, which is commonly used to model the Earth's shape. The x, y, and z coordinates represent the position in a Cartesian coordinate system.

The r, lon, and lat variables are calculated using standard spherical coordinate transformations. Finally, the alt variable represents the altitude above the WGS 84 ellipsoid, which is used to correct the latitude for the ellipsoid's non-spherical shape.

The resulting lon and lat variables are in degrees and can be used to represent the position on a map or for other geolocation purposes.

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