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2000
No 19: Autumn Equinox
No 18: Summer Solstice
No 17: Spring Equinox
1999
No 16: Winter Solstice
No 15: Samhain
No 14: Summer Solstice
No 13: Spring Equinox
1998
No 12: Winter Solstice
No 11: Autumn Equinox
No 10: Summer Solstice
No 9: Spring Equinox
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No 7: Autumn Equinox
No 6: Summer Solstice
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Orthographic Projection

Orthographic projection is way of figuring out where the Sun or Moon will rise or set on any day of the year, at any latitude (between the Polar Circles), with any angle of elevation to the horizon. We've arranged these exercises in a specific order where each one builds from previous examples, but of course you can go to any section.

There are three reasons why you may want to know how to do orthographic projection.

  1. To check suspected astronomical alignments at ancient sites.
  2. In new sacred spaces, to discover astronomical alignments to significant astronomical rises and sets to the Solstices, Equinoxes and the Cross-Quarter Days.
  3. To learn to see our planet in a different way.

These are rather big files, and you may prefer to work through this material off-line by downloading them:

In Section 1, we show you how to calculate Solstices & Equinoxes.

In Section 2, we will show you how to calculate the Sunrises and Sunsets at the Celtic Cross-Quarter Days of:

In Section 3, we work with an elevated horizon.

In Section 4, we show you how to determine the major and minor standstills of the Moon.

Before long we plan to have a cgi script running on this site where you will be able to enter your latitude, azimuth, angle of elevation to the horizon, and we should be able to tell you what day of the year the Sun will rise at that particular point on the horizon.

If you do not know your latitude, Google Earth is an easy way to find it. You can have a free download of this useful program at <http://earth.google.com/>.

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