It's the question we get asked most often — along with how to pronounce our name. If you've never heard of it before, you're in good company!

Depending on your point of view, an analemma is:

  • The path traced out by the Sun through the year observed at the same time of day.
  • The path traced by a Sundial's shadow through the year, observed at the same time each day.
  • A curve tracing the equation of time on the x axis and the Sun's declination on the y axis.
  • The shape one can give to the gnomon (shadow-casting portion) of a Sundial so the edge of its shadow shows the clock time despite the Sun's uneven motion through the year.

The exact shape of an analemma varies with the location of the observer. In most places on earth, it will make a figure 8

Observing the Analemma

Stand in the exact same spot every day (or week, or month)for a year. At the exact same clock time each day, photograph of the Sun (or your Sundial), ideally with a mounted camera. Overlay all 365 photographs into one image, and you won't see a single dot — you'll see a long, lopsided figure eight stretched across the sky (or Sundial). That shape is the analemma.

Composite photograph of the analemma, showing the Sun's figure-eight path over a year
Composite photograph of the analemma, showing the Sun's figure-eight path over a year
©Vito Technology, Inc.

Why Does the Sun Draw a Figure Eight?

Briefly:

Because the Earth is tilted, and because our orbit is not a circle.

  • The Earth's tilt changes the declination (up/down, or y axis).
  • The elliptical orbit changes the equation of time (left/right, or x axis)

Step-by-Step:

If the Earth stood upright and didn't even orbit, then one 360º rotation would put the Sun exactly back in the same place in the sky. This would make very boring analemmas: a single dot. The dot's height would vary by latitude, but that's it.

If we let that upgright Earth orbit in a perfect circle... it doesn't help! It just takes slightly more than 360º to put the sun back in the same place, because the Earth orbited a bit overnight. But it's the same amount every day, and a day is defined by the sun, not 360º, so the analemma is the same boring dot.

But give the Earth an elliptical orbit and things become interesting! It moves faster when closer to the Sun (January), and slower when farther (July). That changing speed means the true Sun sometimes runs a little ahead of clock time and sometimes a little behind the average or mean sun. Our dot is now a horizontal line tracking the drift — astronomers call this drift the equation of time

Finally, restore the Earth's tilt (about 23.5º), and the Sun will move higher in the summer and lower in the winter. Astronomers call that a change in declination. And now our analemma will plot a two-dimensional curve that will in most places (on Earth!) will trace a figure 8.

  • The tall, up-and-down stretch tracks the roughly 47º swing in the Sun's declination through the year.
  • The narrow east-west drift is caused by our (slightly) elliptical orbit — it's a much smaller effect than the tilt, only a handful of degrees, yielding the wasp-waisted 8; the timing yields the lopsided, top-heavy shape — the two loops of the analemma aren't mirror images of each other, because Earth spends less time close to the sun than it does farther away.
  • The 8 is also (slightly) offset left-to-right because the Earth reaches its closest point to the Sun just a couple of weeks after the December solstice, not exactly on it.

A Tool as Old as Timekeeping

Long before anyone photographed an analemma, people needed to account for exactly this drift. A Sundial tracks the true Sun, not the mean Sun your wristwatch follows — so a Sundial can read several minutes "fast" or "slow" compared to clock time, depending on the time of year. Sundial makers have compensated for this for centuries, often by engraving a small figure-eight correction chart — an analemma — directly onto the dial itself, so anyone reading it can adjust true solar time back into clock time.

You can see this idea at work right here at Observatory Park. Our Analemmatic Sundial, built by Eagle Scout candidate Kenny Dieffenderfer and Troop 1547, uses a human volunteer as its gnomon — and where that volunteer stands on the dial's walkway depends on the exact date, tracing out the same seasonal logic that shapes the analemma itself. It's a hands-on way to feel, rather than just read about, the relationship between the Sun's real position and the clock on your wall.

Analemma photograph above an ancient Greek temple, courtesy of Anthony Ayiomamitis / Stanford Solar Center
Analemma photograph above an ancient Greek temple, courtesy of Anthony Ayiomamitis / Stanford Solar Center

Not Just an Earth Thing

Any planet with both a tilted axis and a non-circular orbit will trace some version of this pattern — though the shape varies a lot from world to world, depending on how much tilt and how much orbital eccentricity each planet has. Mercury's tilt is barely there, so its analemma collapses to almost a single point. Venus and Jupiter, with fairly circular orbits, trace simple ellipses instead of figure eights. Mars, with a more elongated orbit than Earth's, draws something closer to a teardrop. Neptune, meanwhile, combines a strong axial tilt with an almost perfectly circular orbit — giving it what might be the most symmetric, textbook figure-eight analemma of any planet in the solar system.

Why Analemmas Are So Hard to Photograph

Capturing an actual photograph of an analemma is widely considered one of astrophotography's toughest long-term projects — because the full shape is never visible all at once. It only exists as a composite: 30 to 50 separate exposures of the Sun, taken at the same spot and the same clock time, spread across an entire year, layered onto one frame. One of the most striking examples comes from photographer Anthony Ayiomamitis, who spent several years photographing analemmas above ancient Greek landmarks — the Parthenon, the Temple of Zeus at Ancient Nemea, the Temple of Apollo at Ancient Corinth — using a solar filter to isolate the Sun's position on the same piece of film, visit after visit, all year long.

Plot Your Own Analemma

You don't have to wait a year or own a camera to see how this works. This interactive Sun analemma calculator plots the figure-eight path for any location on Earth, at any fixed UTC time, using the Sun's actual altitude and compass direction across all 365 days of the year — no camera, no year-long wait, no darkroom required. Here's what it looks like for our own coordinates at Turner Farm:

SUN ANALEMMA CALCULATOR OUTPUT FOR TURNER FARM OBSERVATORY PARK, PLOTTED AT A FIXED 17:15 UTC ACROSS THE YEAR. THE HIGHLIGHTED POINT MARKS AUGUST 25: THE SUN SITS 61.1° ABOVE THE HORIZON AT A COMPASS AZIMUTH OF 179.9° — ALMOST DUE SOUTH — WITH THE EQUATION OF TIME RUNNING ABOUT 2.5 MINUTES SLOW AGAINST CLOCK TIME THAT DAY, AND ROUGHLY 13.2 HOURS OF DAYLIGHT.
SUN ANALEMMA CALCULATOR OUTPUT FOR TURNER FARM OBSERVATORY PARK, PLOTTED AT A FIXED 17:15 UTC ACROSS THE YEAR. THE HIGHLIGHTED POINT MARKS AUGUST 25: THE SUN SITS 61.1° ABOVE THE HORIZON AT A COMPASS AZIMUTH OF 179.9° — ALMOST DUE SOUTH — WITH THE EQUATION OF TIME RUNNING ABOUT 2.5 MINUTES SLOW AGAINST CLOCK TIME THAT DAY, AND ROUGHLY 13.2 HOURS OF DAYLIGHT.

See One for Yourself

An analemma isn't something you can see in one glance — it only reveals itself over the course of a full year, one photograph at a time, from the same spot, at the same moment each day. That kind of patient, long-term observation is exactly the spirit we try to bring to everything we do at Observatory Park: astronomy as something you notice gradually, not all at once. If you'd like to see the underlying idea in action sooner than a year from now, our Analemmatic Sundial is out on the walkway anytime the park is open — and our regular public viewing nights and classes are a great place to ask questions like this one in person.

Sources: