Solar Noon: When the Sun Is Highest, and Why Your Clock Rarely Agrees

Solar noon is the moment the Sun crosses the north-south line above your head and reaches its highest point of the day. It shifts by one hour for every 15 degrees of longitude, so it rarely lands on 12:00 on the clock.

Try it in the instrument

Set the sky to the longitude where the Sun is highest 3 hours after it is highest at Greenwich.

Open the Clock Dial

Also called

local solar noon, sundial noon, local apparent noon (LAN), transit of the Sun

A simplified model

The drawings are computed from the numbers in the sources. They simplify the real sky. For exact times and dates, use official tables.

Noon on a clock is an agreement between people. Solar noon is something the sky does on its own. It is the moment the Sun crosses the north-south line above your head, and for most places it is also the highest the Sun gets all day. On most days the two kinds of noon do not match.

This guide explains what solar noon is, why the clock and the Sun disagree, how 15 degrees of longitude make one hour, and how to find the moment with a shadow. It ends with a short task in the Clock Dial.

What solar noon means

Astronomers use a word for the north-south line in the sky: the meridian. The U.S. Naval Observatory describes it as an imaginary line running from north to south through the observer's overhead point. When a celestial body crosses that line, the event is called a transit. The Naval Observatory states that the transit of the Sun is local solar noon, the same moment a sundial reads noon.

NOAA's Global Monitoring Laboratory says the same thing in other words. Solar noon is defined for a given day and a specific longitude, and it is the time when the Sun crosses the meridian of the observer's location. NIST calls this moment Local Apparent Noon. For observers in low to middle latitudes, the Naval Observatory adds, the transit falls about halfway between sunrise and sunset and marks the time the Sun is highest that day. At high latitudes that may not hold, so the rule is a mid-latitude rule.

Highest does not mean overhead. NASA's Goddard Space Flight Center explains that a sundial with a vertical pointer shows noon correctly when its shadow points north or south. The shadow points north in northern middle latitudes and south in southern ones, and near the equator it can point either way, depending on the season. The height of the Sun at that moment also changes through the year. NIST notes that the Sun's daily high point is lowest in winter and highest in summer because of Earth's axial tilt of about 23.44 degrees. The guide on noon Sun height follows that thread.

Why your clock says something else

Three separate things pull clock noon away from solar noon. They can add together or partly cancel.

ReasonSizeWhat happens
Your place inside a time zone4 minutes for each degree of longitudeSolar noon comes earlier east of the zone's central meridian and later west of it
Daylight saving time1 hourClocks run one hour ahead of standard time, so solar noon on the central meridian falls near 1:00 PM
The equation of timeAs much as 16 minutesThe Sun runs ahead of or behind a uniform clock through the year
Why clock noon and solar noon differ, in minutesBar chart: Daylight saving time 60 minutes; Omaha inside its zone (Naval Observatory example) 24 minutes; Equation of time at its largest 16 minutes.Why clock noon and solar noon differ, in minutesDaylight saving time60 minutesOmaha inside its zone (Naval Observatory example)24 minutesEquation of time at its largest16 minutes
Why clock noon and solar noon differ, in minutesBar chart: Daylight saving time 60 minutes; Omaha inside its zone (Naval Observatory example) 24 minutes; Equation of time at its largest 16 minutes.Why clock noon and solar noon differ, in minutesDaylight saving time60 minutesOmaha inside its zone (Naval Observatory example)24 minutesEquation of time at its largest16 minutes
Why clock noon and solar noon differ, in minutes (minutes).

Time zones. Civil time uses a worldwide system of one-hour zones, spaced 15 degrees of longitude apart, says the Naval Observatory. Everyone in a zone shares one civil time. Civil time therefore matches local mean solar time only along the zone's defining meridian. The Naval Observatory gives an example. Memphis, Tennessee, sits at 90 degrees west on the central meridian of the U.S. central time zone, so there the clock and the Sun agree. Omaha, Nebraska, sits at 96 degrees west, six degrees farther along, and its solar time is offset from central standard time by 24 minutes, which is 6 times 4. The Sun moves from east to west, so it reaches Omaha later. Setting the equation of time aside, solar noon there falls about 24 minutes after 12:00 central standard time.

Daylight saving time. NASA Goddard points out that a sundial is one hour off in summer when clocks are reset. NOAA's tide glossary defines daylight saving time as clocks advanced one hour from standard time. The Naval Observatory adds that civil time is a good match for local mean solar time only when daylight time is not in effect.

The equation of time. The Sun does not cross the sky at a perfectly steady rate. The Naval Observatory says the accumulated difference between Sun time and clock time can reach as much as 16 minutes, and NIST gives the same figure. The equation of time guide explains the cause.

Local noon once ruled everyday life. NOAA says local time, with noon set by the Sun's transit over the local meridian, was in general use in the United States until 1883, when standard time was adopted. NASA Goddard adds that railroads introduced standard time to build uniform timetables across the nation.

How longitude sets the hour

Earth turns once in about a day, so the sky appears to slide past at a steady rate. The Naval Observatory puts that rate at approximately 15 degrees per hour. One hour of Sun time therefore equals 15 degrees of longitude. That matches the zone spacing above, and it matches the Naval Observatory's rule of 4 minutes for each degree, because 60 minutes divided by 15 degrees is 4.

Direction matters too. The Naval Observatory explains that objects in the sky seem to move from east to west because Earth rotates from west to east. The Sun therefore crosses the meridian of an eastern place first and a western place later.

For a starting line, use Greenwich. NOAA defines the prime meridian as the line through Greenwich, England, at 0 degrees longitude. The Naval Observatory describes Universal Time loosely as mean solar time on the Greenwich meridian. So "noon at Greenwich" is the zero point, and every 15 degrees west adds one hour.

Degrees of longitude west of GreenwichNumber line from 0 to 180 degrees with marks: Greenwich at 0; Memphis at 90; Omaha at 96.Degrees of longitude west of Greenwich (degrees)050100150Greenwich0Memphis90Omaha96
Degrees of longitude west of GreenwichNumber line from 0 to 180 degrees with marks: Greenwich at 0; Memphis at 90; Omaha at 96.Degrees of longitude west of Greenwich (degrees)050100150Greenwich0Memphis90Omaha96
Degrees of longitude west of Greenwich.
Longitude west of GreenwichSolar noon comes this much later than at Greenwich
15 degrees1 hour
45 degrees3 hours
90 degrees (Memphis)6 hours
180 degrees12 hours

These rows are calculated at 15 degrees per hour. The 90 and 180 come from the sources: the Naval Observatory puts Memphis at 90 degrees west, and NOAA says the International Date Line roughly follows the 180-degree meridian.

Finding solar noon with a shadow

You can find solar noon without a calculator. Stand a straight stick upright on level ground in the morning. NOAA states that at solar noon the shadow of a vertical pole points directly north or directly south, depending on your latitude and the time of year. Watch for the moment the shadow lies along that north-south line. That is the moment of solar noon at your spot.

Mark the line from a map, not from a compass needle alone. NOAA warns that a compass points to magnetic north, which can be several degrees off true north, as many as 20 degrees in the United States.

Eye safety. Read the shadow, never the Sun. NASA says it is not safe to look directly at the Sun without specialized eye protection for solar viewing, and that regular sunglasses, no matter how dark, are not safe. A shadow on the ground gives you everything you need. For NASA's full guidance, see the Eclipse Viewing Safety page on science.nasa.gov, which is listed with this guide's sources.

Common mistakes

  • Expecting solar noon at 12:00. It lands on 12:00 only where several things cancel: the zone's central meridian, standard time, and a day when the equation of time is near zero.
  • Forgetting daylight saving time. In summer, solar noon at the zone's central meridian falls near 1:00 PM by the clock.
  • Assuming the Sun is straight overhead at noon. Solar noon is the Sun's highest point for that day. In northern middle latitudes a noon shadow still points north.
  • Mixing up east and west. The Sun moves from east to west, so places west of you reach solar noon later and places east of you reach it earlier.
  • Trusting a compass for the north-south line. Magnetic north can be off by several degrees.
  • Looking at the Sun to judge noon. Use the shadow. NASA says looking at the Sun without proper solar eye protection is not safe.

Try it in the instrument

Open the Clock Dial and set the sky to the longitude where the Sun is highest 3 hours after it is highest at Greenwich. The target is 45 degrees west.

The relation behind it is short. Earth turns at about 15 degrees per hour, so 3 hours is 3 times 15, or 45 degrees. The Sun moves from east to west across the sky, so it reaches a western place later. The answer is therefore west of Greenwich. As a second check, use the Naval Observatory's rule of 4 minutes per degree: 45 times 4 is 180 minutes, which is 3 hours. The dial is a simplified model with a window of accepted answers, so the idea matters more than a decimal.

Questions people ask

Is solar noon the same as 12:00 PM?

Rarely. Clock noon follows your time zone's central meridian and, in summer, daylight saving time. Solar noon follows the Sun at your exact longitude, and it also shifts through the year because of the equation of time.

Does solar noon happen at the same clock time every day?

No, but it changes slowly. The Naval Observatory says a day measured from one solar noon to the next can differ from 24 hours by as much as half a minute. Those small shifts add up to as much as 16 minutes of difference across the year.

Is the Sun highest at solar noon everywhere?

For most places, yes. The Naval Observatory says that in low to middle latitudes the Sun's transit is the time it is highest that day. It warns that at high latitudes this statement may not be true.

Why do clocks not follow the local Sun anymore?

Because every city once kept its own local time. According to NASA Goddard, railroads introduced standard time to set up uniform timetables across the nation. NOAA says standard time was adopted in 1883.

Which way does solar noon move as I travel west?

Later. The Naval Observatory's rule is about 4 minutes later for each degree of longitude you move west. Fifteen degrees west adds one hour.

Sources

We opened each source ourselves on the date shown. The drawings are our own and were checked against the numbers in these sources.

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