MATLAB: How to convert distance (meters) into latitude and longitude(degrees) values without using “distdim” command in Matlab

coordinate system

I have to convert distance of an object (which is in meters) into a geographical coordinate system(latitude and longitude) which is in degrees or vice versa.

Best Answer

A latitude/ longitude in degrees will be converted to km by multiplying it with ~111.111 kms. The multiplication factor slightly varies depending on the location. You may check the link below: https://en.wikipedia.org/wiki/Decimal_degrees

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MATLAB: How to calculate the Euclidean distance beetwen all points of Latitude Longitude pairs

function [d1,d2] = pos2dist(point1,point2)
% Distance:
% d1: distance in km based on Haversine formula
% d2: distance in km based on Pythagoras theorem
% Inputs:
%   point1: lat lon of origin point [lat lon]
%   point2: lat lon of destination point [lat lon]
%


% Outputs:
%   d1: distance calculated by Haversine formula
%   d2: distance calculated based on Pythagoran theorem
%
% Example 1, short distance:
%   point1 = [-43 172];

%   point2 = [-44 171];
%   [d1 d2] = pos2dist(point1,point2)

%   d1 =

%           137.365669065197 (km)
%   d2 =

%           137.368179013869 (km)
%
% Example 2, longer distance:
%   point1 = [-43 172];
%   point2 = [20 -108];
%   [d1 d2] = pos2dist(point1,point2)
%   d1 =
%           10734.8931427602 (km)
%   d2 =
%           31303.4535270825 (km)
radius = 6371; % Earth radius
lat1 = point1(1)*pi/180;
lat2 = point2(1)*pi/180;
lon1 = point1(2)*pi/180;
lon2 = point2(2)*pi/180;
deltaLat = lat2-lat1;
deltaLon = lon2-lon1;
a = sin((deltaLat)/2)^2 + cos(lat1)*cos(lat2) * sin(deltaLon/2)^2;
c = 2*atan2(sqrt(a),sqrt(1-a));
x = deltaLon*cos((lat1+lat2)/2);
y = deltaLat;
d1 = radius*c; % Haversine distance
d2 = radius*sqrt(x*x + y*y); % Pythagoran distance
end

Thanks Geoff!

MATLAB: How to convert GPS data (lon,lat) data into X, Y (meters)

You can convert (lat,lon) which are in degrees to kms using deg2km.

If you want to convert degrees to utms you may have a look here: https://in.mathworks.com/matlabcentral/fileexchange/10915-deg2utm

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MATLAB: How to calculate the Euclidean distance beetwen all points of Latitude Longitude pairs

MATLAB: How to convert GPS data (lon,lat) data into X, Y (meters)

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