The Moon inspires poets, painters, composers, song writers - all of us. Why?
Daily Motion of the Moon
You may have noticed that the Moon moves a considerable amount from night to night. This is not surprising when you consider that a month is the amount of time required for the Moon to complete an orbit around the Earth so, by simple math the Moon moves approximately 360/30 = 12 degrees per day. If you use your "mind's eye" you will also likely recall that the Moon seems to "rise later" each day - this means that the Moon's motion is a slow, eastward drift with respect to the background stars. Figure 3.13 shows the Moon drifting eastward acrsoss the Pleiades ("Seven Sisters") on the evening of March 3, 2009.
This eastward drift is due to the Moon's orbital motion around the Earth and amounts to approximately 0.5 degrees per hour. Since the moon itself is about 0.5 degrees in diameter in the sky this means that the moon drifts its own diameter eastward in one hour.
Different Kinds of Months
A month is "not just a month" - it depends on how you define the term. As you have begun to appreciate, in astronomy terms must be defined carefully. Consider the following ways in which we can refer to a "month":
Sidereal Month This is the time required for the moon to return to the same position relative to the background stars. 1 sidereal month = 27.32166 days
Figure 3.13 The eastward drift of the Moon through the Pleaides cluster on the evening of March 3, 2009.
Nodical (or Draconic) MonthThis is the time required to pass through the nodes or intersections between the Moon's orbit and the Earth-Sun orbital plane. The line of nodes which is formed by the intersection of these two planes is a very important idea when considering when eclipses can occur. 1 Nodical month = 27.21222 days.
Synodic Month This is the time required for the Moon to return to the same orientation with respect to the Sun. This is closest to our colloquial use of the tem month and is the month used to determine lunar phases. 1 Synodic month = 29.53059 days.
Example 3.4 Explain what the difference is between a sideral month and a synodic month and why the synodic month is more than two days longer?
Solution:The sidereal month is the time required for the Moon to orbit through 360 degrees (1 revolution) with respect to the background stars. The synodical month is the time needed for the moon to return to the same phase (orientation relative to the sun). But - the Sun is also drifting eastward so it takes an addition 2 days for the Moon to "catch up" to the sun. Teh drift in the Sun's position is due to Earth's motion around the sun.
Lunar Phases
The monthly progression from
new Moon to full and then to new Moon is the most easily and widely recognized
of the motions in the heavens. How can we explain the phenomenon of lunar
phases? To help, use your "mind's eye" for a moment to consider the following:
where is the Moon in
relation to the Sun when the Moon is full?
where is the Moon in
relation to the Sun when the Moon is new?
where is the Moon in
relation to the Sun when the Moon is in either first or third quarter
phase?
Figure 3.14 Animation showing the Moon in its phases.
Also, some more subtle questions
are:
what is the shape of
the line dividing light from dark (the terminator) on the
lunar surface?
in what direction does
the Moon appear to move during the night?
in what direction does
the Moon appear to move from night to night?
The answer to all of the above can
be nicely found by using Stellarium or Celestia.
Example 3.5 You notice the first quarter moon in the southern sky, close to the meridian (due south). What time of day is it?
Solution: It must be very close to sunset. In order to see a quarter phase the Sun must be at 90 degrees to the Moon. Since it is first quarter the moon has passed through the New phase and is moving eastward in the sky - this means the sun must be setting.
Once
in a Blue Moon!
Ever
wonder where the phrase "once in a blue Moon" comes from? There are at
least two explanations and are probably - taken together - a good explanation
of the term. First, the phrase connotes something unusual or rare. This
leads to the first explanation:
Blue Moons are
the rare occurrence of two full months within the same month. The following
table lists a few of the blue Moons that you may be able to see:
Month
Days
Year
December
2, 31
2009
August
2, 31
2010
July
2, 31
2015
March
2, 31
2018
Table 3.3 Some "blue Moon" months
A second explanation
is that under very rare atmospheric conditions complex scattering and absorption
of Moonlight by dust in the Earth's atmosphere can produce a very distinctly
blue colored Moon. There are many reports of such occurrences.
Solar and Lunar Eclipses That Changed
History
Eclipses are dramatic events - no
wonder that they have a prominent place in historical records and have commanded
the attention, awe and curiosity of people throughout the ages.
The blood red to coppery hues of a lunar eclipse occur because as the moon slips into the shadow cast by the Earth the only light that illuminates the Moon has passed through Earth's atmosphere. This light is "redenned" - the same way that the sky is a deep red colour at sunset. So - the moon is illuminated with "sunset" light.
Before we look at the conditions that lead to both Lunar and Solar Eclipse let's fist look at some examples of eclipses and how they have influenced history.
Figure 3.16 January 2000 - first Lunar Eclipse in the new Millenium
Example 3.6 Sketch the Sun-Earth-Moon orientation needed to produce an eclipse such as the one shown in Figure 3.16.
Solution:The Moon must be in a Full phase. If you have a copy of Celestia you can reproduce the eclipse geometry as shown in the video clip below.
What would this look like from the Moon? Click on the icon to see video clip of this produced with Stellarium
Simple sketch of the geometry of a total lunar eclipse.
The Moon slipping behind the Earth. The yellow dot on the Earth is pointing directly toward the Sun.
Some Significant Lunar Eclipses
413 BC A lunar eclipse is seen
as a bad omen, the Athenian leader Demosthenesl delays deployment of his navy for an
entire lunar month. The delay proved costly giving the Syracuse navy time
to prepare. The Athenian fleet was destroyed. A crucial event in the Peloponnesian
War.
1453 the Turks held Constantinople
under siege. The Christians within the walls of the city were demoralized.
On May 22 a total lunar eclipse was seen as a sign - not a good one! The
city fell six days later.
Christopher Columbus and his
crew have "worn out their welcome"! They were running low on supplies and
the native chiefs were making ominous threats. Columbus discovered in his
almanac that a lunar eclipse was to occur on February 29, 1504. Three days
prior to the eclipse he warned the chiefs that "his God" was displeased
with them and that he would demonstrate this by a clear sign. The eclipse
trick worked! The chiefs once again revered Columbus and began to supply
his ships.
Figure 3.17Total lunar eclipse
on the night of January 20-21, 2000. Image is a composite of photos
taken using a 600 mm lens at f/6 with exposures from 1/60 s to 1 minute.
Image taken at The King's University College Observatory.
Other Recent Lunar Eclipses...
Lunar eclipses are a relatively frequent event and chances are very good that you have seen at least one eclipse. One of the reasons that the lunar eclipse is more frequently seen than the solar eclipse is that the lunar eclipse can be seen anywhere on the globe where the Moon is visible. For a solar eclipse to be visible, however, the observer must be situated along a very narrow path cast by the shadow of the Moon on the Earth.
Figure 3.19 October 2004 Lunar Eclipse.
Figure 3.20 September 27, 2015 "Super-Moon" Lunar Eclipse (click for larger view)
Example 3.5 What phase must the Moon be in for a lunar eclipse to occur?
Solution: The Moon must be full - it must be situated opposite the sun in our sky if it is to be able to slip through the shadow cast by the Earth.
Some Significant Solar Eclipses
During the 18th and 19th centuries
white Europeans invaded North America. Native cultures were being systematically
destroyed. The Shawnee chief Tecumseh realized that the only hope for the
various tribes in eastern and central North America was to join together.
He was assisted by his brother - Tenskwatawa - a "prophet" who called for
a rejection of the "white ways" and a return to traditional values. The
governor of the Indiana territories, William Harrison, attempted to discredit
both Tecumseh and Tenskwatawa. He chided Tenskwatawa to "show him a sign".
Tenskwatawa was ready for Tecumseh had learned from explorers that a total
solar eclipse was to occur on June 16, 1806. Tenskwatawa and Tecumseh assembled
a great crowd in Greenville, Ohio to witness the Great Spirit's Displeasure.
During the height of the eclipse Tecumseh ordered the Great Spirit to release
the Sun! Tecumseh's fame spread quickly and he was able to unite - for
a time - the tribes of the area.
February 12, 1831 the black
slave preacher Nat Turner witnessed a total solar eclipse. It was a vision
from God of a "black angel" overtaking a "white angel". The fomenting slave
rebellion gained impetus and on August 13 Turner saw another spectacle
- a naked eye Sunspot. The rebellion began on August 21 but was quickly
crushed and Turner hanged.
In 1915 Albert Einstein made
a dramatic prediction concerning the effect that gravity has on space.
According to Einstein, gravity curves space. For example, light from a
star should be deflected inward slightly as it passes by the Sun. To test
this idea the eclipse of May 29, 1919 was observed. In close agreement
to Einstein's prediction starlight was indeed deflected as it passed the
Sun. When asked what he would think should his prediction had proved wrong
Einstein responded that he would have felt sorry for the dear Lord - the
theory is so beautiful!
Some Examples: Solar Eclipse Movies and
Images
Annular Eclipses
The Moon's orbit around the Earth and Earth's orbit around the Sun are not perfectly circular but slightly elliptical. This means the apparent size of both the Sun and Moon vary in our sky. Ocassionally during an eclipse the Moon's apparent size is too small to completely block the Sun. When this happens an annular eclipse results. Figure 3.20 shows such a case.
Figure 3.21 Video clip showing an annular eclipse
Path of Totality
During an eclipse the Moon's shadow traces out a narrow curved path on the Earth beneath. This is called the path of totality and you must be situated along this path in order to see the eclipse as total or 100%. Figure 3.21 shows the shadow moving across the Pacific Ocean ascaptured by an orbiting satellite July 1991.
Figure 3.22 A satellite view of the shadow of the 1991 Baha, California eclipse
The Diamond Ring Effect
One of the most enthralling sights during a total solar eclipse is the "diamond ring" effect - so called because for a few seconds the Moon looks like a magnificent diamond ring. This happens when shafts of Sunlight pass through lunar valleys on the edge of the Sun either just as the eclipse begins or ends.
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Figure 3.23 A total eclipse showing corona and diamond ring effect
Antarctica 2003
The first total solar eclipse ever observed from Antarctica.
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Figure 3.24 First ever total eclipse viewed from Antarctica
So What's So Special About Eclipses?
Question
If the new Moon occurs when the Moon
lies between us and the Sun while the full Moon occurs when we are between the
Moon and the Sun, why do solar and lunar eclipses not happen every month?
An Example of Conditions for New Moon and for Solar Eclipse
Essential conditions:
line of nodes (the intersection
of the Moon-Earth and Earth-Sun orbital planes) points toward the Sun (the
Sun must apear to be at the node)
the Moon is on the line of nodes
In the figure
on the right, neither of these conditions is met. The Moon's shadow
will miss the Earth and a solar eclipse is not possible. The Moon is,
however, in the new phase.
Click
here if you would like to run video illustrating this.
Figure 3.26 Non-eclipse alignment at New Moon.
This time, however, both conditions are met and a solar eclipse results.
Click
here if you would like to run video illustrating this.
Figure 3.27 Moon is new and on line of nodes which is pointing at the sun - a solar eclipse will occur.
Just When I Started to Understand It!!
Well, there is one more little complication! As the Earth moves around the Sun
the line of nodes is rotating. This is mostly due to the simple change in the
position of the Sun during the year. This means that there are only two periods
during the year - called eclipse seasons - when the line of nodes is pointing
toward the Sun. It is only during these periods that an eclipse is possible.
If the Moon is new during the eclipse season a solar eclipse will result. (Need
it
be total?)
Actually - there is one more Complication!
Remember precession? The Moon's orbit is slowly precessing or turning westward
by about 19.4 degrees per year. After 18 years the line of nodes has returned
to its previous orientation. A yearly consequence of this precession is that
eclipse
seasons begin about 19 days earlier each succeeding year.
Example 3.6 Why is a solar eclipse usually either preceeded or followed by a lunar eclipse?
Solution:In the two weeks of time that separate the New and Full phases the Moon will still be close enough to the line of nodes for at least a partial eclipse to occur.
Putting this all Together ...
The Facts:
Moon's orbit is tipped at about
5 degrees with respect to the plane of the Earth's orbit
Earth - Sun distance varies
by about 2% during the year
Basic Conditions for an Eclipse:
Sun is along the direction of
a node
Moon is one of the nodes
Other Factors Affecting an Eclipse:
distance of Moon wrt Earth
distance Earth wrt Sun
Eclipse Seasons
Eclipses occur when the Moon is new
and at or close enough to one of its two nodes. This can happen twice each year
in "windows" called the eclipse seasons.
The Saros
As early as the 6th century BC the Chaldeans had noticed a pattern when lunar eclipses occured. Roughly every 18 years the Sun, Earth and Moon are in a similar alignment and will produce an eclipse very similar to its predecessor 18 years earlier with the exception that it ouccurs westward (by about 1/3 the way around the globe). This patten is called "Saros" which is Greek for repetition
One Saros = 6585.32 days or 18 years, 11.33 days or 223 lunar months - the number arises because
that is the number of whole months required for all the cycles of Sun wrt lunar
nodes repeats. The eclipse seasons repeat with a period of 346.62 days = 1
eclipse year. Figure 3.27 illustrates the Saros.
Figure 3.28 The Saros for eclipses (both lunar and solar) between 1995 and 2025
The red
circles indicate solar eclipses while the gray circles are lunar eclipses.
Why are the bands in this graph separated by 9 years rather than 18? Also,
note that a complete eclipse cycle is 18 years 11 and 1/3 days. Thus, if an
eclipse occurs today it will take another 18 years, 11 and 1/3 days before
this particular node and Moon-Sun orientation reoccurs. Another eclipse occurs
but 1/3 the way around the world (west of the previous eclipse of that cycle).
*a hybrid eclipse is one that is annular along part of the path and total along other parts of its path.
Example 3.7 On August 21, 2017 a total solar eclipse occured in the the Western US to the Carolinas. This was a remarkable eclipse because the previous eclipse in the same cycle (Saros) also passed through a very populated area. When did the previous eclipse occur and when will the next eclipse in the same Saros occur?
Solution: The Saros is 18 years, 11.33 days. This means that the previous eclipse was in 2017 - 18 = 1999. It occured 11.33 days earlier which puts the date as August 11, 1999. The eclipse occurs 1/3 of a day ealier or 1/3 of the way around the world in an easterly direction. The previous eclipse in the same Saros is the famous August 11, 1999 eclipse that passed through central Europe and was seen by millions. (Note: if you add 6585.32 days to August 11,1999 you get August 21,2017.)If you advance 18 years, 11.33 daysthe next eclipse in this Saros will occur September 2, 2035 in the Far East.
Eclipses in Canada?
Unless you are willing to travel the prospects for a total eclipse in Canada are not great! Over the next 100 years you will have
Date
Location
August 23, 2044
North west BC, Central Praires - most of Alberta
May 1, 2079
Maritimes
September 14, 2099
Southern BC, Alberta and Saskatchewan
Table 3.5 Total eclipses in Canada over the next century
To understand the lunar phases as well as lunar and solar eclipses
Chp4
The word "lunatic" derives from an ancient belief that if Moonlight should fall on you while you sleep, you will awake deranged or a lunatic. You will be Moon-struck!