Tool · polar sun path chart

Sun path diagram

The whole sky on one disc: the sun's track on the solstices, the equinox and any date you choose, with hour marks in local time. Print it, lay it over a site plan, or read it straight off the screen.

Where

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When

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How to read a sun path diagram

Imagine lying on your back and looking straight up: the diagram is the dome of the sky squashed flat. The centre is the zenith, directly overhead; the outer circle is the horizon. Rings mark the sun's elevation in 15° steps, and the spokes mark its azimuth — north at the top, east to the right.

Each curve is one day's journey. The outermost curve on the sunny side belongs to the winter solstice — the sun rises far to the south-east, stays low and sets in the south-west (in the northern hemisphere). The innermost belongs to the summer solstice. Every other day of the year lies between the two, and each day appears twice: once as the days lengthen and once as they shorten.

The dots are clock hours. Where they sit on a curve tells you both the direction and the height of the sun at that hour.

What it is used for

  • Solar panels. Mark a tree, chimney or neighbouring roof on the diagram by its direction and angular height; wherever it covers the winter curve, it shades your array in winter.
  • Architecture. Size overhangs that block the high summer sun and admit the low winter sun; place windows for morning or evening light.
  • Gardens. Find which beds get six hours of direct sun in June and which lose it by September.
  • Photography. Plan where the sun will set behind a landmark on a given date.

For an interactive version drawn over a map of your site, use the sun map: the same curves are drawn around the observer, to the true directions of your street.

Questions

What is a sun path diagram?
A chart of the sun's position in the sky through the day, drawn for one latitude. Azimuth is the angle around the circle and elevation is the distance from the rim. Curves show the sun's track on chosen dates; dots mark the hours.
Is this a stereographic or a polar projection?
This diagram uses an equidistant polar projection: equal steps of elevation are equally spaced rings, which makes angles easy to read off with a ruler.
Why are the hour marks not symmetric around south?
Clock time is not solar time. Solar noon falls when the sun is due south (or north), which can be up to an hour or more away from 12:00 because of your position in the time zone, daylight saving time and the equation of time.