Sunday, January 2, 2022

A Day Is Not Exactly 24 Hours

By Graham Jones, Konstantin Bikos, and Vigdis Hocken

The Earth's rotation slows down over time.
©iStockphoto.com/nukleerkedi

Exact Day Length* — Sun, Jan 2, 2022

Today's prediction: 23 hours, 59 minutes, 59.9996870 seconds (-0.3130 milliseconds)

Yesterday's prediction: 23 hours, 59 minutes, 59.9998140 seconds (-0.1860 milliseconds)

At the start of today, UT1 was 0.1102948 seconds behind UTC.

Look up a day length in the past

* Based on mean solar day. Numbers provided by the International Earth Rotation and Reference System Service (IERS).

Earth's Rotation Defines Length of Day

Modern timekeeping defines a day as the sum of 24 hours—but that is not entirely correct. The Earth's rotation is not constant, so in terms of solar time, most days are a little longer or shorter than that.

The Moon is—very gradually—slowing the Earth's rotation because of friction produced by tides. Over the course of a century, the length of a day increases by a couple of milliseconds (where 1 millisecond equals 0.001 seconds).

Within this general trend, however, there is fluctuation: sometimes the Earth spins a bit faster, sometimes a bit slower. Recently, our planet has been speeding up a little, making for slightly shorter days.

How Long Is Today?

Today is predicted to be 0.3130 ms (milliseconds) or 0.0003130 seconds shorter than 24 hours. This is the time it takes Earth to rotate 14.56 cm (5.73 in), as measured at the equator.

This means that today lasts:
23.9999999131 hours or
24 hours minus 0.31 ms

On average, a mean solar day in the last 365 days was -0.18 ms under 24 hours, so today's day length is below average. Over this period, 228 days have been longer than today, while 138 have been shorter than today.

If every day were as long as today, a negative leap second would have to be added every 3194.89 days.

Today's Day Length* in Context

Day     .....,,,,       length     ...........             Date      
Yesterday: ........ 24 hours -0.19 ms  ........ Sat, Jan 1, 2022
Today : ..............24 hours -0.31 ms ...........Sun, Jan 2, 2022
Tomorrow: ....... 24 hours -0.29 ms .......... Mon, Jan 3, 2022
Shortest 2022 .... 24 hours -1.56 ms ..........Wed, Jun 29, 2022
Longest 2022 ..... 24 hours +0.88 ms .........Fri, Apr 15, 2022
Last Year Average 24 hours -0.18 ms ......

Year 2021* Yesterday's, today's, and future day lengths are predictions.

Average Day Lengths & Leap Seconds

Overall, the Earth is a good timekeeper: the length of a day is consistently within a few milliseconds of 86,400 seconds, which is equivalent to 24 hours. However, over the course of months and years, these small differences can add up and put our clocks out of sync with the Earth's spin. When this happens, a leap second is used to bring them back into alignment.

Leap seconds can be positive or negative. A positive leap second adds a second to our clocks, while a negative leap second subtracts a second.

The system of leap seconds was introduced in 1972. So far, there have been 27 leap seconds, and they have all been positive. 

The table below shows the yearly average day lengths since 1973.
Average Solar Day Length*

Year  -Avg. dayTot....yearly diff... -Shortest day ......Longest day- Leap sec. added
2022.. -0.21 ms .........-77.51 ms .. Jun 29 -1.56 ms... -Apr 15..... +0.88 ms -
2021.. -0.18 ms ........-65.28 ms.... Jul 9 -1.46 ms ......-Apr 26..... +1.00 ms -
2020.. -0.00 ms.........-1.30 ms .....Jul 19 -1.47 ms .....-Apr 8....... +1.62 ms -
2019 ..+0.39 ms .......+141.25 ms .Jul 16 -0.95 ms .....-Mar 22 .....+1.68 ms -
2018 ..+0.69 ms .......+252.47 ms. Jun 30 -0.64 ms.....- Feb 4 .......+1.69 ms -
2017 ..+1.03 ms .......+375.01 ms. Aug 4 +0.06 ms.....- Apr 25 .....+2.20 ms -
* Current year's average day length and total yearly difference are predicted.

How Is True Day Length Measured?

Astronomers and timekeepers express mean solar time as Universal Time (UT1), a time standard based on the average speed of the Earth's rotation. UT1 is then compared to International Atomic Time (TAI), a super-precise time scale calculated by a network of atomic clocks.

The actual length of a day is expressed as the deviation of UT1 from TAI over 24 hours.

Why Isn't Earth's Rotation Constant?

The speed of the Earth's rotation varies from day to day. One of the main factors are the celestial bodies surrounding us.

For example, the Moon's gravitational pull causes tides and changes the Earth's shape, ultimately resulting in a lower rotational speed. The distance between Earth and Moon changes constantly, which makes for daily variations in the speed our planet rotates around its axis.

How Far Back Does the Data Go?

Super-accurate atomic clocks were first developed in the 1950s and 1960s. So measurements of the Earth's rotation using atomic clocks only go back as far as then.

However, telescopic timings of stellar occultations by the Moon provide information about the Earth's rotation going back to the 17th century. An occultation is when the Moon, as seen from the Earth, passes in front of a star.

Ancient Records Give Away Earth's Speed

Going back even further, records of solar and lunar eclipses provide information from the 8th century BCE onwards.

For example, a Babylonian clay tablet tells us that a total solar eclipse was observable in the ancient city of Babylon on April 15, 136 BCE.

Modern computer models can calculate the path of totality for this eclipse with a high degree of accuracy. From this, we can work out the Earth's spin. For instance, if the Earth had been spinning a bit faster at that time, the path of totality would have passed to the west of Babylon—not directly over the city.


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