distancegc#

[arclen, azimuthdir, metedir] = distancegc(lat1, lon1, lat2, lon2, CalcMethod, R, dispout)

Description#

Calculate distance and azimuth (bearing) between (Latitude,Longitude) points using Great Circle

Inputs#

lat1

Latitude (y) of start point (first point) in (Degree)

lon1

Longitude (x) of start point (first point) in (Degree)

lat2

Latitude (y) of end point (last point) in (Degree)

lon2

Longitude (x) of end point (last point) in (Degree)

CalcMethod=’haversine’;
Distance calculation method
‘cos’: Spherical law of cosines
‘haversine’: Haversine formula
‘vincenty’: Vincenty formula, Vincenty (1975)
R=6371000;

Earth radius in (m), mean earth radius=6371000 m

dispout=’no’;

Define to display outputs or not (‘yes’: display, ‘no’: not display)

Outputs#

arclen

Total distance from start point to end point in (m)

azimuthdir
Azimuth (bearing or compass direction) from start point to end point in (Degree)
0 (degree): toward North, 90 (degree): toward East, 180 (degree): toward South, 270 (degree): toward West
metedir
Meteorological direction from start point to end point in (Degree)
0 (degree): from North, 90 (degree): from East, 180 (degree): from South, 270 (degree): from West

Examples#

lat1=29.5; %First point
lon1=-89.4; %First point
lat2=29.7; %last point
lon2=-89.4; %last point
[arclen,azimuthdir,metedir]=distancegc(lat1,lon1,lat2,lon2);

lat1=[29.5;29]; %First point
lon1=[-89.4;-89]; %First point
lat2=[29.7;30]; %Last point
lon2=[-89.4;-90]; %Last point
[arclen,azimuthdir,metedir]=distancegc(lat1,lon1,lat2,lon2,'haversine',6371000,'yes');

References#

Vincenty, T. (1975). Direct and inverse solutions of geodesics on the ellipsoid with application of nested equations. Survey review, 23(176), 88-93.