I doubt many of us really consider where the Sun happens to be in the sky at any given time in the year. We know it's low in the winter, particularly if your southern exposure is ringed with trees. We know it's high in the summer, baking our brains when we get out of the car at midday. But generally, the Sun is "just there." While that true, the real story is far more compelling.
Last June I decided to shoot an Analemma, a multi-shot project that traces the path of the Sun through the sky. The word comes from the Greek ἀνάλημμα which translates as "pedestal of a sundial." Using conventional cameras, it is extremely difficult to do because it means leaving your camera hard-mounted outside somewhere and taking a photo 24-50 times on the same frame of film using a solar filter. It's been done a dozen or so times, the first by a gentleman named Dennis DiCicco between 1978 and 1979. When using film, the roll is developed at the end of the year and then printed on some interesting background that was not part of the original shot (Greek hills with temples on them are very popular choices.)
The advent of digital photography greatly simplified the project however, requiring only your willingness to dedicate a camera and tripod for a year, some time positioning the shot twice a month and a copy of Photoshop. The process I used was pretty simple - I began with a nice morning photo of my backyard with no sun in the frame of reference that would serve as my baseline. Then on the 6th and 21st of each month I went out, aligned the camera to the top of a fence post and the eave of my bike shop and took a picture at precisely 12:18:32 (I messed up and lost 18 minutes during my set-up for the first Sun picture.) From there, I loaded them into the computer, overlaid the latest photo on the baseline photo, carefully aligned my two reference points and cut the center out of the Sun and then pasted it "in place" onto the baseline and then deleted the now useless bi-monthly shot. The result after 28 photos and a year of work is this -
You
can see a couple of interesting things here. The crossover does not
take place on a significant date, like an Equinox or Solstice. The fact
that one of the dates is My Lovely Wife's birthday (April 2) is probably
cosmologically significant but how I am not sure. Another is the size
of the upper and lower node. Because I live at latitude 35° North, the
Sun is never directly overhead going no higher than 78°. At the Equator
where the Sun reaches 90°, the Analemma would be directly overhead and
equal between top and bottom. In the Southern Hemisphere, at my
equivalent latitude, it would be the same shape but with the smaller
node on the bottom. The difference in shape is due to the tilt of the
Earth and how that affects our virtual position on the planet, relative
to the Sun.
There
are two components to the Earth's journey around the Sun that cause
this Figure 8 to be formed. The first is the tilt of the Earth's axis
(23.4 °) relative to the Sun and the second is the elliptical shape of
our orbit. If the Earth stood straight up and down and orbited the Sun
in a perfect circle, and you went out each day at noon and took a
picture, the resulting Analemma would look like this -
24 Suns superimposed on each other and honestly quite boring.
Now
we all know that the Sun moves up and down the sky during the year,
lower in the winter, close to overhead at the height of summer and this
is due to the tilt. It's what changes the lengths of our days, gives us
our seasons, creates temperate zones and allows for ice at the poles. As
the Earth moves through its orbit, your position on the globe
effectively changes and that is where we get Solstices and Equinoxes and
all the variation in between. If the Earth orbited the Sun in a perfect
circle but had its tilted axis, the resulting Analemma would look like
this -
The path of the Sun would be vertical from high to low, up and down from a central point.
The
effect of the second component - orbit - would not be as obvious if
you simply went outside and looked at the Sun at noon everyday. In fact
without a photo, you probably wouldn't notice it at all. This effect
manifests itself in a difference in the Sun's position relative to the
time on your watch - instead of being in the same place, it's going to
be a bit further ahead or behind due to the Earth moving more quickly
through the pointy ends of its elliptical journey. Three photos during
the year from an Earth without a tilted axis but with an elliptical
orbit would look like this -
The
Sun would lag or shoot out ahead of a centered point depending on where
the Earth happened to be in its yearly trek through outer space.
But
because we are blessed with both components, we end up with a habitable
planet and a cool shape in the sky if we take the time to capture it.
The
work was pretty interesting in the end. In addition to the lesson in
celestial mechanics, I also learned something that I think I already
knew - New Mexico has some pretty nice weather. Of all the photos I
took, only a few had cloudy skies. And even then, they were not cloudy
enough to stop my progress. Here are the raw shots presented in a grid -
And
as a added bonus, I was able to create a video like the one I did above
of the seasons. It shows trusty Sol making his way up and down and
around, this year, next year and for the rest of the time he hangs in
the sky.
No comments:
Post a Comment