MATLAB: Calculate distance between two coordinates with depth

distance between to points

I need to do what's in the title. I saw a file exchange about calculating the distance between two coordinates, but how would i do it considering the altitude? I have my data in latitude and longitude so i would need something to convert it first, i saw online and doing it one by one would take to long

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If I understand your question right, the solution should be to use the Haversine formula to get the 2D distance on the sphere and then use Pythagoras theorem with the difference in altitude.

dist_sphere = haversine(loc1(1:2), loc2(1:2));
delta_altitude = loc1(3)-loc2(3);
dist = sqrt( dist_sphere^2 + delta_altitude ^2 )

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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 distance (meters) into latitude and longitude(degrees) values without using “distdim” command in Matlab

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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Related Solutions

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

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

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