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The Moon and its Phases


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Photo by malith d karunarathne on Unsplash

The Moon must have made an incredible impression on the first members of the human race. It was, and still is, the brightest object in the night sky with its constantly and regularly changing shape.

The impression that the moon had on our ancestors may have led to the invention of the first calendars. What could be more natural than to say: "Let’s meet again at the next full Moon." The Moon's phases were there for everyone to see and their use would avoid the counting and recording of the number of days since the last meeting. It was inevitable that the month would become an inseparable part of our calendar — along with the day, marked by the movement of the Sun, and the year which was marked by the passing of the seasons.

Lunar Facts
Diameter3 476 km
Mean distance from Earth384 400 km
Moon:Earth mass ratio1:81.3015
Synodic Month29.530588 days
Sidereal Month27.321661 days
Orbit’s eccentricity0.0549
Orbit’s inclination to ecliptic5° 8' 43"
Orbit’s inclination to Earth's equator18.5° to 28.5°
Mean magnitude of full Moon-12.7
Optical libration in latitude/longitude±6.7°/±7.6°
Temperature-153°C to +134°C
Surface gravity1.622 m/sec²
Escape velocity2.38 km/sec

Synodic Month
The synodic month (or lunation), is the average period of the Moon's orbit with respect to the line joining the Sun and Earth.

Sidereal Month
The sidereal month is the time it takes the Moon to return to a similar position among the stars.

Ecliptic
The ecliptic is an imaginary circle in the sky that represents the apparent path of the Sun across the celestial sphere over the course of a year, as viewed from Earth.

Magnitude
An object with a magnitude of 1 is considered to very bright. It is about 2.512 times brighter than an object with a magnitude of 2. The Sun's magnitude is approximately -26.74 in the visible band of light.

Optical Libration
Optical Libration is a phenomenon that occurs in the motion of the Moon as viewed from Earth. It refers to the apparent rocking or oscillation of the Moon's surface back and forth in an east-west direction / north-south .

How many Lunar Months are there in a Year?

A natural next step would have been to link the lunar month with the year. This is where the difficulties began. Twelve lunar months, with four seasons of three lunar months, would have seemed a good approximation to the year. Unfortunately, the lunar month is just over 29½ days long which means that twelve lunar months falls short of a year by about eleven days.

Starting a year eleven days early might not seem much, but after only three years the lunar year would be a calendar month out of step with the seasons which would certainly cause problems with the sowing of crops if you live in an agricultural community.

So, how about a year of 13 lunar months? Unfortunately, this would lead to a year that would be over 18 days too long.

The Metonic Cycle

In 433 B.C. Meton discovered that 19 years (6939.689 days) is almost exactly the same length as 235 lunar months (6939.602 days). This would produce a 19-year cycle consisting of 12 years that were 12 lunar months long and 7 years that were 13 lunar months long. This would keep the lunar months in step with the seasons. These dates were inscribed in gold lettering on public monuments and, for this reason, the number of a year in a Metonic Cycle is called the Golden Number.

The first year of a cycle can be chosen arbitrarily but the cycles now in use can be traced back to 1 BC where the cycle begins at 1 when the New Moon occurs on 1 January (1995, 2014, 2033). You can also see whether a year is the beginning of a cycle by dividing it by 19 and checking whether the remainder is 0.

The Hebrew Calendar

In Israel, the Hebrew Calendar is used for religious purposes, provides a time frame for agriculture and is an official calendar for civil holidays - alongside the Gregorian Calendar. Like the modern Islamic calendar, the timing of the months in the early forms of the Hebrew calendar depended on actual sightings of the Crescent Moon.

However, this practice was gradually changed and by 1178 CE the calculation of the beginning of a new calendar month had been fully replaced by a mathematical approximation.

The Hebrew lunar year is about 11 days shorter than the solar year and uses the 19-year Metonic Cycle (see below) to bring it into line with the solar year. Even with this correction, the average Hebrew Calendar year is about 6 minutes and 40 seconds longer than the current. This means that every 216 years the Hebrew calendar will fall a day behind the current.

The Islamic Calendar

The Muslim calendar uses a system based on lunar months with alternating months of 29 and 30 days. This means that all the months including the ninth month Ramadan — the month of fasting — continually cycle through the seasons.

To keep the months in step with the Moon’s phases, a further correction is made by varying the length of the twelfth month over a 30 year cycle: 29 days long for 19 of the years, and 30 days long for the remaining 11 years.

Predicting the Phases of the Moon

Calculating the date of many religious festivals, including Easter, requires you to be able to predict the dates of the full Moon. As the mean time between the Moon’s phases is just over 29½ days, you could roughly predict the next few occurrences of the same phase by alternating gaps of 29 and 30 days. Unfortunately, this method will become inaccurate after a few months because the Moon is subject to over 1500 influences which can affect the date of the full Moon from month to month.

You could also use a more accurate figure, such as the Synodic Mean (29.530558 days), for the lunar month.

The Metonic cycle described above is more accurate and the table shown below gives you the dates of the full Moon for 2014–2051 and the Golden Number for each of those years.

  #JanFebMarAprMayJunJulAugSepOctNovDec
20142033116151715141312109877
2015203425454311,302827262524
201620353232224222220201816161414
201720364121113111110986543
2018203752,31231303028282625242322
201920386211920181816161513131111
20202039798987654221,3030
202120408282728272624242221212019
2022204191816181616141312101098
20232042107665432,313028282626
2024204311252425242322211918171615
20252044121413141313111197755
2026204513323221,30302826262424
2027204614222121202018181615141312
202820471511911997764422,31
2029204816302830282726262423232121
2030204917191819181715151312121010
203120501897866432,3130292828
2032205119272527252523222119181717
  #JanFebMarAprMayJunJulAugSepOctNovDec

Even using the Metonic Cycle doesn't always give the right day for the full moon. If you would like some more precise dates for full moons, please see the tables below:

Full Moons for London UK in 2023 1

Month Day Time
Jan 6 23:07 UTC
Feb 5 18:28 UTC
Mar 7 12:40 UTC
Apr 6 04:34 UTC
May 5 17:34 UTC
Jun 4 03:41 UTC
Jul 3 11:38 UTC
Aug 1 18:31 UTC
Aug 31 01:35 UTC
Sep 29 09:57 UTC
Oct 28 20:24 UTC
Nov 27 09:16 UTC
Dec 27 00:33 UTC

Full Moons for London UK in 2024 *

Month Day Time
Jan 25 17:54 UTC
Feb 24 12:30 UTC
Mar 25 07:00 UTC
Apr 23 23:48 UTC
May 23 13:53 UTC
Jun 22 01:07 UTC
Jul 21 09:17 UTC
Aug 19 19:25 UTC
Sep 18 02:34 UTC
Oct 17 12:26 UTC
Nov 15 20:28 UTC
Dec 15 08:01 UTC

* Data from timeanddate with times converted to UTC

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