THE SOUTHWORTH PLANETARIUM
70 Falmouth Street      Portland, Maine 04103
(207) 780-4249      usm.maine.edu/planet
43.6667° N    70.2667° W  Altitude:  10 feet below sea level Founded
January 1970
2021-2022: CVIII
“The most beautiful experience we can have is the mysterious. It is the
fundamental emotion that stands at the cradle of true art and true
science.”   -Albert Einstein

THE DAILY ASTRONOMER
Monday, April 11, 2022
Solar Eclipse Series # 2: The Basics of Solar Eclipses

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728 days until the April 8, 2024 solar eclipse.
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[image: 3762c.jpg]

Solar eclipses are simple in concept, yet complicated in application.  They
occur when the moon moves directly in front of the Sun from Earth's
perspective.    A solar eclipse can only occur when the moon is at
conjunction (new moon) and is at or near a node, the intersection point
connecting Earth's orbit and the moon's.  Solar eclipses don't occur every
month because the moon's orbit is inclined to Earth's orbital plane by
slightly more than five degrees.     Generally when the moon is new, it
will be north or south of this plane and no eclipse will occur.

[image: download.jpg]
If the moon's orbit were precisely aligned with Earth's orbit, eclipses
would be monthly occurrences.

We recognize four basic solar eclipse types:

   - *TOTAL:*   when the moon completely covers the Sun
   - *ANNULAR:*  when the moon moves directly across the Sun, but appears
   smaller than the Sun.  At totality, the moon is surrounded by a ring of
   sunlight.
   - *PARTIAL:* when the moon only partially covers the Sun
   - *HYBRID:*  when the eclipse is annular and total during the same
   eclipse.

Our focus for this series is, of course, the total solar eclipse on April
8, 2024.   It will be the first total solar eclipse visible in Maine since
1963.  (The next total solar eclipse visible in Maine occurs on May 1,
2079.) The map below pertains to the April 8, 2024 eclipse

[image: SE2024Apr08T.png]

Any observer within the region under the blue grid will be able to observe
the eclipse. What the observer actually sees will depend on his/her
location.   Anyone within the dark blue arc extending from the  Pacific to
the north Atlantic will see a total solar eclipse. That blue arc
defines the* totality
path*, the only place where the eclipse appears total.  We can see that
western and northern Maine are within the totality path.   The Portland
area will not be.  Observers outside this arc will see a partial solar
eclipse, the magnitude of which depends on the observer's distance from the
path.   For instance, an observer standing somewhere along the 0.8 line
(running through Mexico, Alabama, Georgia, South Carolina and North
Carolina) would see an eclipse of magnitude 0.8, meaning that the moon will
cover 80% of the Sun's diameter.      As another example, an observer along
the 0.2 line (perhaps British Columbia or Costa Rica) would see the moon
cover only 20%  of the Sun's diameter.   Any observer north of the top blue
line or south of the bottom blue line won't see any part of the eclipse at
all.


   - The totality path is within the* umbra*, the darkest part of the
   moon's shadow
   - The other regions in which only  partial eclipse will be visible is
   within the *penumbra,* the outer part of the moon's shadow.


[*Important note:*  Magnitude is NOT the same as Obscuration.   Magnitude
measures how much of the Sun's diameter the moon covers.   Obscuration
measures the amount of the solar disk the moon covers.   Example, if the
eclipse magnitude is 0.5, the obscuration is about 39.1%.

[image: EclipseMagnitude.jpg]
We can see that when the moon covers half the Sun's diameter more than half
of the Sun remains visible.]

*THE APPEARANCE:*
[image: total-solar-eclipse.jpg]

During a total solar eclipse, the moon completely covers the Sun.  During
totality the corona, the outermost part of the Sun's atmosphere, becomes
visible.     The sky darkens enough to render the stars visible.

[image: solar_shades_plastic.jpg]*Safety note: * While eclipse glasses are
certainly necessary to safely watch the eclipse prior to and after
totality, one may safely observe the Sun during totality PROVIDED that one
looks away before totality ends.  Be sure not to look at the Sun without
protection when totality ends.   Even the sunlight emitted by the thin
crescent that emerges just after totality can damage your eyes.

*THE FREQUENCY*
At least four eclipses will occur each year.  On rare occasions as many as
seven eclipses occur in a year.     During minimum years (only four
eclipses), two will always be solar eclipses and the other two lunar
eclipses (the passage of the moon through Earth's shadow.)       A solar
eclipse and a lunar eclipse will be separated by two weeks because each
eclipse type happens when the moon is at or near a node.   Earth's orbit
and that of the moon are connected by two nodes separated by 180 degrees,
the same separation distance between new moon and full moon (the moon phase
during a lunar eclipse.)

*THE SAROS CYCLE*
We can predict eclipses because of the Saros Cycle.  An eclipse with the
same geometry will repeat every 18 years, 11 days and 8 hours.    We know
that a solar eclipse can only occur when the moon is new and at or near a
node.    However, an eclipse can occur at any point in the moon's orbit.
 Sometimes eclipses will occur when the moon is at or near *perigee (*the
point of least distance) or at *apogee* (the point of greatest distance) or
somewhere in between.

Eclipses within the same saros cycle will occur 18 years, 11 days and 8
hours apart and at approximately the same distances.       This time period
corresponds to:


   - 223 synodic months  (a *synodic *month equal to the time period
   separating successive new moons.  Approximately 29.5 days)
   - 242 draconic months (a *draconic* month is equal to the time period
   the moon requires to return to the same node.  Approximately 27.2 days)
   - 239 anomalistic months (an *anomalistic* month is the time period
   separating successive perigees.  Approximately 27.5 days.)


The April 8, 2024 solar eclipse is part of Saros cycle 139.   The first
eclipse in this cycle was a partial solar eclipse that occurred on May 17,
1501.    The last eclipse will be another partial, scheduled for July 3,
2763.      The eclipse prior to the April 8, 2024 event occurred on March
29, 2006.   The one after will happen on April 20, 2042.
Based on this Saros cycle, can you predict when the next one will occur?
*Answer: * April 30, 2060

*EXELIGMOS*
Note that the period of a Saros cycle is 18 years, 11 days and 8 hours.
As eight hours equals one third of a day, an eclipse in a given Saros Cycle
will be displaced by about 120 degrees relative to the previous eclipse.
 However,  every third eclipse within the same Saros will be visible within
the same general area.     Or, every eclipse separated by 54 years and 33
days will have similar geometries and will be seen in the same part of the
world.  However, their respective totality paths will be displaced.   We
call this 54 year 33 day time period as one "exeligmos,"  from the Greek
for "turning of the wheel"

[image: download.png]
The above image shows the totality paths for nine successive eclipses
within Saros Cycle 136.   We see that each eclipse within this saros is
displaced by about 120 degrees relative to the one prior and the one
following.  However, every third eclipse happens along the same part of the
planet.   Notice that the June 8 1937 eclipse is south of the July 11 1991
eclipse which is south of the August 12 2045 eclipse.  Each of these
eclipses are separated by one Exeligmos.

Throughout the next year, we will be exploring each of these aspects and
many others in far greater detail.   In Solar Eclipses # 3, we'll delve
more deeply into the totality path and partial eclipse region map.


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