How the Sun moves across the sky

As we approach summer in NZ, the Sun is getting higher in the sky and is increasingly warming the Earth and the air around us. In the early 1600s Galileo Galilei explained that the Earth goes around the Sun, but there’s no reason why we can’t discuss the apparent movement of the Sun across the sky, as you see it from a frame of reference fixed to the Earth. Let’s do that, and investigate the different ways that the Sun drives our seasons.

On about 22nd December in the Southern Hemisphere we hit the summer solstice. The movement of the Sun across the sky on that date is like this:

Anim_summer

How the Sun moves over NZ on 22nd December. Note how it rises and sets south of east and west.

 

If your house has a south-facing wall you may be noticing that it’s getting some direct sunlight in the early morning or late evening these days.

You can compute how high the Sun gets in the sky at your place by first letting the point directly over your head be 90° angle above your horizon. I’ll explain what happens at an equinox, then I’ll go into the solstice computation.

•  At the equinoxes
On about 22nd March and 22nd September the Sun is directly overhead the equator. At your place the Sun reaches a maximum angle of 90° minus your latitude.

For example, the latitude of North Island is approximately 40°S (you can be more precise for your location by looking at an atlas). So, at an equinox, the Sun reaches a maximum elevation angle of 50° above the horizon.

Sun_elevation_equinox

How the Sun moves over NZ on about 22nd March and September. It rises exactly in the east, and sets exactly in the west.

 

•  At the solstices
At the December solstice the Sun has moved to its southernmost point, directly overhead latitude 23°S, called Tropic of Capricorn. E.g. at Rockhampton the Sun will reach 90° directly overhead around midday on 22 December.

Over North Island, the elevation of the Sun increases to a maximum of 50° plus the 23° (the tilt of the Earth’s axis), i.e. 73°, as shown in the animation at the start of this post. That’s pretty high in the sky. And now, in November, you can notice how high the Sun’s getting in the middle of a sunny day by seeing how short your shadow is.  

In the depths of winter over North Island the Sun only reaches 50° – 23° = 27° above the horizon (see the animation below), which is not very high :-( Roll on summer.

Anim_winter

As previous but for 22nd June

 

 

For interest, you may have noticed that in the tropics the duration of sunset is short as the Sun sinks almost straight down below the horizon. It’s a similar story for sunrise. The next diagram shows how the Sun moves on the equator.

Sun_elevation_equator

The Sun as viewed at the equator (on 22nd March and 22nd September)

 

At the South Pole, the Sun moves parallel with the horizon, always keeping the same elevation, as shown below. Nearer the Antarctic coast, e.g. at Scott Base, the Sun rises very gradually. Even on 22 Dec it doesn’t get very high in the sky there (about 35° max) and, in winter, the Sun doesn’t even make it above the horizon as it goes around.

Sun_elevation_S_Pole

As previous but as viewed from the South Pole

 

To protect our eyes we never look directly at the Sun. But, as I alluded earlier, we can infer the Sun’s position from the shadows it casts. I remember Augie Auer quoted a rough rule of thumb, that if your shadow is shorter than your height you should be protecting yourself from the sun. In other words, if the Sun is higher than 45° elevation, you are more likely to get sunburn. I hope this post has given you a better understanding of why we get these higher Sun elevations in the summer months.

You can check out detailed data such as sunrise/sunset times at your place, Sun angle and lots more besides, at the US Naval Observatory website.

6 thoughts on “How the Sun moves across the sky

  1. 27 degrees in winter not that high? Try growing up in Oslo where it doesn’t get much over 5 degrees above the horizon in winter – great for vampires lol.
    Google Earth has a cool interactive feature now too where you can see an animation of the sun crossing the sky at any location and any time you enter into its calculator.

  2. Thanks R Wood. For the online table you’re looking for, try the US Naval web-site at the bottom of the blog post, under the section headed “Positions of Selected Celestial Objects”. You’ll see a link there to information about the Sun’s azimuth which you can use together with the sunrise/sunset data.

  3. Well written, like the new website. I recently experienced overhead (ie 90deg zenith) sun for the first time in Brazil at about 17.45S latitude, in mid-November, and had some hot days in Rio, where the zenith is currently about 90deg. I am looking for an online table or calculator that gives the azimuth of the sun’s rising and setting points for a specified latitude and date (I do have a spreadsheet but it’s nice to see something dynamic).

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