Sun elevation and azimuth, explained
The two angles that pin the sun to the sky: what they mean, how they change and how to measure them.
Clear answers to the questions behind every sunrise, shadow and solar panel, each worked out with real numbers for real places.
Articles
Eighteen articles on the questions people ask about the sun: why the earliest sunset is not on the shortest day, which way a garden should face, how long golden hour lasts, where the midnight sun begins. Each one is built on numbers worked out for real places with the same engine that drives the sun position map, and each links to the tool that answers the question for your own location.
New to the map itself? Start with how to read the sun position map. For the formulas behind every number, see method and accuracy.
Angles and time
How the sun’s position is described, and why clocks and sunsets behave the way they do.
The two angles that pin the sun to the sky: what they mean, how they change and how to measure them.
Time zones, daylight saving and the equation of time: why the sun peaks at 14:16 in Madrid in June.
In London the earliest sunset is 12 December and the latest sunrise 30 December. Here is why.
Due east only near the equinoxes: in London the sunrise point swings 80° along the horizon.
The shadow-tip and watch methods can be 20–70° out. The ones that work, and the real errors.
Photograph the sun at the same time every week for a year and it traces a lopsided figure eight.
Step by step from a date and a place to azimuth and elevation, with every intermediate value for London on 15 October 2026.
Light for photographers
When the light is warm and low, how long it lasts, and what twilight looks like.
From under half an hour on the equator to two hours in the north: golden hour by latitude and season.
What each stage of twilight looks like, how long it lasts by latitude and season, and where the night never gets dark.
Home, garden and solar
Sun on walls, gardens and solar panels, worked out in hours and degrees.
Hours of direct sun on every wall direction, summer and winter, for London and Madrid.
Full sun, partial shade or shade: hours behind fences and walls of different heights, by season.
The best fixed angle, the best summer and winter angles, and what adjusting gains at seven latitudes.
Peak sun hours are not hours of sunshine. What they measure, clear-sky values by latitude and month, and how to turn them into kWh.
Shadow length per metre of height, hour by hour, in summer, at the equinox and in winter, for London and Madrid.
Seasons and latitudes
Day length, the equinoxes, the tropics where the sun can stand overhead, and the polar regions where it may not set.
Only in the tropics, on one or two days a year: the dates and times for sixteen cities.
How long the sun stays up, or down, in Tromsø, Svalbard, Utqiaġvik, Murmansk and Rovaniemi.
On the equinox the day is several minutes longer than the night. When day and night are really equal, city by city.
From twelve hours all year on the equator to 22 hours in June at 65° north: day length by latitude, and how fast it changes.