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Published 2011 Revised 2016
For more information and diagrams see: http://stars.astro.illinois.edu/celsph.html
Here is a link to a collection of films to show the position of the sun and the ecliptic. http://www.sonic.net/~rknop/php/astronomy/astromovies/
The link to this film shows the movement of the Sun around the ecliptic
http://www.sonic.net/~rknop/php/astronomy/astromovies/ecliptic.php
When in 1821 Charles Babbage invented the `Difference Engine' it was intended to take over the work of making mathematical tables by the techniques described in this article.