File:Various radii vs. latitude.svg

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Summary

Description
English: Various radii vs. latitude
Date
Source Own work
Author Fgnievinski

Source code

% using https://www.mathworks.com/matlabcentral/fileexchange/44848-geod-yet-another-geodetic-toolbox

lat = linspace(0, 90)';
ell = get_ellipsoid('wgs84');

M = get_radius_meridional(lat, ell);
N = get_radius_normal(lat, ell);

Rc = get_radius_gaussian(lat, ell);
Rm = get_radius_mean(lat, ell);

R = get_radius_geocentric(lat, ell);

%tmp = [N R Rc Rm M];
%lab = {'Transverse', 'Geocentric', 'Gaussian', 'Mean', 'Meridional'};
tmp = [N R Rc M];
lab = {'Transverse', 'Geocentric', 'Gaussian & Mean', 'Meridional'};

%%
figure
hold on
%plot(lat, tmp./1000)
plot(lat, tmp(:,1)./1000, '-r')
plot(lat, tmp(:,2)./1000, '-k')
plot(lat, tmp(:,3)./1000, '-g')
plot(lat, tmp(:,4)./1000, '-b')
xlim([0 90])
xlabel('Latitude (degrees)')
ylabel('Radii of curvature (km)')
h = legend(lab, 'Location','northwest');
  set(h, 'Box','off')
grid on
hline(ell.a/1000, ':k')
hline(ell.b/1000, '--k')
text(77, ell.a/1000, sprintf('equatorial\nradius'))
text(82, ell.b/1000, sprintf('polar\nradius'))

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

Captions

Various radii vs. latitude

Items portrayed in this file

depicts

29 July 2025

File history

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Date/TimeDimensionsUserComment
current11:10, 29 July 2025560 × 420 (47 KB)Fgnievinskireplace tilde for ampersand

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