Illustration of principal curvatures on an oblate spheroid (ellipsoid of revolution)

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Illustration of principal curvatures on an oblate spheroid (ellipsoid of revolution)
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Summary

Description This transparent webm video illustrates the principal curvature in a point that travels on a meridian from the equatorial plane (with radius parameter 'a') to the poles and back.
The white points on the axes are foci points of the origin ellipse (the one rotated around the polar axis to form the ellipsoid). The curvature radii shown are:

The blue circle, which visualizes the (principal) curvature in meridional direction.
The red circle, which visualizes the (principal) curvature vertical to the other (i.e. crossing at a right angle).
The flattening of the earth is exaggerated by a factor of ~25.
File Format Notes:

File:Illustration of principal curvatures on an oblate spheroid (ellipsoid of revolution).png is a frame rate reduced version (1 fps) as animated png
This video may render poorly in browsers that do not support alpha transparency of HTML5 videos. It is a webm matroska container with vp8 yuv video and alpha channel track, produced by alpha_encoder command line utility of the
Date 2016-02-03
Source commons.wikimedia.org
Author Cmuelle8

Licensing

Creative Commons

CC0 / Public Domain

Attribution: Cmuelle8, 2016-02-03

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