Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.

The solar eclipse of Apr 8, 2024

Michael Richmond
Feb 29, 2024

You can find this material at

http://spiff.rit.edu/richmond/asras/eclipse_2024/eclipse_sent.html
and a video recording of a version of this talk (with Q&A afterwards) at
https://www.youtube.com/watch?v=-zLi8_OGFVc&t=4m26s

Contents


What should we expect to see? The basic story

Well, it starts like this (Rochester equivalent: about 2:10 PM)


Image courtesy of Long Room , modified slightly by MWR.

grows more dramatic over the next half hour or so (Rochester equivalent: about 2:55 PM; not sure if we'll see such nice sunspots, but there's a chance)


Image courtesy of Wikipedia

As the shadow of the Moon approaches the viewer's location,


Image of eclipse taken by cosmonauts in Mir in 1999, courtesy of Mir 27 crew and CNES

the skies will begin to darken.


Image of Moon's shadow courtesy of Colin Legg

As the very last little sliver of the solar atmosphere disappears, we may be lucky enough to see the "diamond ring" phenomenon (around 3:20 PM for Rochester).


Image courtesy of Kubotake and Wikipedia and modified slightly by MWR

When the entire solar disk has been covered, the much fainter glow of the outer solar atmosphere -- the corona -- will pop into view.


Image courtesy of Fred Espenek

Those with binoculars or telescopes may see a few solar prominences stick out beyond the limb of the Moon.


Image courtesy of Bert Halstead

Stars and planets will become visible in the suddenly darkened sky.

After just a brief time (222 seconds for us in Rochester), the Moon will begin to uncover the opposite side of the solar disk, and things will start to go back to normal.

The schedule for us in Rochester is (thanks very much to Xavier M. Jubier -- see his website for details!)


                                        EDT PM

    Start of partial eclipse (C1)      02:06:59    

    Start of total eclipse   (C2)      03:20:06

    Maximum eclipse                    03:21:56        

    End of total eclipse     (C3)      03:23:46  

    End of partial eclipse   (C4)      04:33:24  



Look for the shadow bands

"Shadow bands?" you may ask. "What are they?"

They are a mysterious, elusive phenomenon that appear just before, and just after, a total eclipse. Few people have seen them, and even fewer have recorded them clearly. Let me describe them indirectly, by starting with something more familiar.

Have you ever looked at the bottom of a swimming pool on a sunny day? If so, you've probably seen a lacy network of narrow bright lines, swaying and moving as waves move across the water's surface.


Image courtesy of Wikimedia

These bands of light are created when sunlight passes through the uneven, wavy, air-water interface at the surface of the pool. Rays of light strike the water at slightly different angles from one place to another, causing the rays to bend this way or that as they move downward toward the bottom of the pool. Where several rays meet, we see bright lines. Scientists call these curvy bright lines caustics.

In a similar way, light rays from the Sun can be refracted by wavy variations in the Earth's atmosphere to create regions of brighter light on the surface of the Earth.


Image courtesy of Muhammad Rayhan and Optics Picture of the Day

These extra-bright (and slightly less-bright) areas are completely unnoticable during ordinary situations. However, when the Sun is ALMOST completely covered by the Moon's disk, so that only a very thin crescent remains ...


Image courtesy of Keon Gibson and NASA

... the shadow bands can sometimes be seen: ghostly, faint lines of white and grey. They appear to "fly" across the landscape at moderate speeds. One of the best videos showing these elusive bands was taken during an eclipse in 2019; click on the picture to activate. Notice how much sharper and distinct they become in the last minute before totality, and in the first minute after totality. Check out the section from about 1:00 to 2:10 in the video.


Image and movie courtesy of Thierry Pauwels (or local copy)

In order to see this phenomenon, choose your spot for viewing the eclipse carefully. Look for

Good luck!


Why are eclipses so rare?

The Moon circles the Earth every 29 days or so, changing from Full Moon to New Moon and back to Full as we see more or less of the sunlit portion of its globe. Every New Moon means that the Moon is passing between the Sun and Earth in its orbit -- so why don't we experience a solar eclipse once a month?

Warning, personal reminiscence approaching: At one point in my graduate school career, I was working on radio observations of planets. I attended a small meeting of people in the field in order to discuss the use of solar system bodies as flux calibrators. During our conversations, a post-doc who had built a very detailed thermal model of planetary emission warned us that the Moon would be a poor choice for a target "because it cools off every month during the lunar eclipse." I was surprised that only one other person at the meeting had the same "Wh--- wait a minute!" reaction as I.

The answer lies in the tilt of the Moon's orbit around the Earth. (Click on the image below to activate applet)

The diagram above -- like most one can find describing eclipses -- does not show the Earth and Moon properly to scale with the separation between them. A more accurate view of the situation can be seen in the animation provided by NASA's Scientific Visualization Studio. (Click on the image below to activate applet)


Animation courtesy of NASA's Scientific Visualization Studio

In general, out of the roughly 13 New Moons every year, only 2 have the possibility of crossing directly in front of the Sun and causing a solar eclipse; and on those occasions, the shadow may cross the very top (Arctic) or bottom (Antarctic) of the globe, disappointing pretty much all humans.

The bottom line is, solar eclipses aren't very common, period. Moreover, since the Earth is a big place, the chances that one of these rare events happens in any particular vicinity is small. For example,



  Q:  How many solar eclipses will touch SOME part
      of the United States between the years 2000
      and 2050?
















  A:  10 -- but only 3 really good ones



Maps courtesy of Wikipedia and Fred Espenak, NASA's GSFC

Now, why do I only count 3 of these as "good" eclipses? In part due to the tiny portions of the US which fall into the path of totality in some cases, but mostly due to the difference between total and annular eclipses. Only total eclipses are really "good" ones, in my opinion.

The difference is caused by the eccentricity of the Moon's orbit, which is NOT a perfect circle. At perigee, the Moon is closer-than-average to the Earth, and so it appears larger -- but at apogee, the Moon is farther-than-average, and so appears smaller.


Images of the Moon courtesy of John Walker

Perhaps examples showing the gradual change in size of the lunar disk over the course of a few months might help to make this clear. Click on the image below to activate a short movie showing the Moon's appearance during September, 2005: (Click on the image below to activate animation)


Image courtesy of Tom Ruen and Wikipedia

This difference is not huge -- but it is large enough to make a big difference to people watching from the Earth. The Sun's average angular diameter lies right between these two extremes, at about 0.53 degrees. That means that when the Moon is at perigee, it will completely cover the solar disk ... but not when it is at the most distant point of its orbit. If a solar eclipse occurs while the Moon is near apogee, observers will see a bright ring of sunlight circling the black lunar disk.


Images courtesy of Jay Pasachoff and space.com

The changing distance between Earth and Moon explains why this eclipse -- in 2024 -- will be more impressive than the one which crossed the United States in 2017. Back then, the Moon was a bit farther away from the Earth, making its shadow a bit smaller. In 2024, the shadow will be wider, allowing more people to watch the eclipse and giving all of us an extra minute or two of totality.


Image courtesy of Ernest Wright/NASA's Scientific Visualization Studio


This is a special time ...

We humans have evolved at a fortunate time: we figured out how to predict the motions of the Sun and the Moon in the sky, and how to build telescopes and cameras, just when the Sun and Moon are the right sizes to create "perfect" solar eclipses: events during which the Moon just barely covers the solar disk. This almost exact match in angular size leads to dramatic effects, like this:


Image of Bailey's Beads courtesy of Fred Espenek

But the Sun and Moon won't always appear to be the same size, as viewed from the Earth ... which means that these wonderful eclipses will soon (geologically speaking) disappear.

It's partly the Sun's fault. As the hydrogen in the Sun's core fuses into helium, the temperature and density of the core gradually change; the net effect is that the amount of energy generated each second very gradually increases. Through a complex set of mechanisms, the changes in the core cause the Sun slowly to increase in size. (Click on the image below to activate applet)

As the Sun grows bigger, it becomes difficult for the Moon to cover it completely.

But that's not all. The Moon is to blame, too. The Moon and Earth distort each other slightly via their mutual gravitational pull, creating small elliptical bulges in each (which we experience directly as the tides of the Earth's oceans). Now, the Earth's bulges spin around quickly, taking just 24 hours (yeah, yeah, 23 hours 56 minutes 4 seconds relative to the stars) to make one revolution. That's much faster than the Moon's orbital period of about 27 days. The gravitational forces of the quickly-spinning Earth's bulges transfer energy and angular momentum to the slowly-spinning Moon's bulges, causing

For our current discussion, the important point here is that the Moon is slowly moving away from the Earth.

How do we know for sure? If we construct special optical devices called "retro-reflectors"

and place a bunch on the lunar surface

then shine a REALLY STRONG LASER at those reflectors and wait for the photons to bounce off and return


Image of APOLLO laser-ranging system on the 3.5-meter Apache Point Telescope courtesy of the APOLLO project

then we can measure the distance between the Moon and Earth to a precision of a few millimeters. Scientists who have monitored this distance over the past few decades have measured an average recession of




  Q:  How far does the Moon recede from the Earth each year?




















    A:    3.8 cm per year

That doesn't sound like much -- and it isn't, on human timescales. But given enough time, this tidally-driven recession can increase the Moon's distance significantly. And, of course, as the Moon recedes from the Earth, it appears to shrink in size.

So, if we put together these two effects -- the Sun's outer atmosphere expanding, and the Moon gradually receding from the Earth -- we can foresee the end of total solar eclipses.

The figure below is slightly changed from the original version of this talk. The original assumed a fixed value of the Earth's orbital eccentricity of its current value, e=0.0167. But the Earth's orbital eccentricity varies periodically due to perturbations by other planets. The figure below adopts a fixed value, e=0.058, which corresponds to the largest value in this periodically varying eccentricity.

In about 750 million years, the Moon will no longer, even under the best of circumstances, be able to cover the Sun's disk completely. Eclipses will still occur, but those watchers of the future will experience only partial eclipses; their eyes will never see the corona shining faintly around the black circle of the Moon.


How to watch the eclipse safely

The short version is pretty simple:



 Don't look directly at the Sun 
 unless it is fully covered by the Moon.

There are two reasons why eclipses can be dangerous to human vision.

This combination of factors means that people MIGHT try look at the Sun long enough for the visible and ultraviolet radiation to damage their vision. An example of solar retinopathy (yes, it happens frequently enough that it has its own name) is shown below. The lower panel is a cross-section of a damaged retina, showing the retinal cells (the top layer of green dots) has been destroyed at the location of the solar image.


Image of solar retinopathy courtesy of the American Society of Retina Specialists

How much of the incident solar radiation must a filter block in order to be safe for use? I'm not an expert in these matters, but someone who IS, B. Ralph Chou of the School of Optometry at the University of Waterloo, wrote a nice article on eye safety for solar viewing. One of the items that IS safe to use is number 14 welder's glass. Take a look at the fraction of light which it transmits:


Image courtesy of B. Ralph Chou and the Royal Astronomical Society of Canada

The safe thing to do is simply to look at projected images of the partially-eclipsed Sun before and after totality. These might be created with a simple pinhole (or series of pinholes)


Image of pinhole projection courtesy of Jenny Oh and KQED

or via the leaves of a tree.


Image courtesy of J Soffer

If you want to get fancy, you can use a pair of binoculars to project a big, bright image of the Sun.


Image courtesy of Fred Espenek

I'm planning to use a small telescope to project an image big enough for many people to see at once. It's much more practical than asking people to wait in a long line to look through an eyepiece, and safer, too.

If what I've written so far doesn't persuade you to be careful, perhaps Valerie Rapson of the Dudley Observatory will make a better case. Take it away, Valerie!


Video of eclipse dangers thanks to RIT graduate Valerie Rapson of the Dudley Observatory in Schenectady, New York


For more information


Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.