Sixty Symbols #1 — Solar Eclipse

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If you’ve ever visited the Daily Kos you may have noticed my nightly comments where I post a video from the series called Sixty Symbols on the Overnight News Digest. I thought you might enjoy these videos with some additional explication and exploration. There are a whole passel of them so getting through them all will take some time. I wonder, as I begin this random walk, where it will take me and what exciting and cool things I might learn and share.

I’m sure you all have some understanding of solar eclipses, at least enough to know that making lots of noise will chase the sun eating dragon away. : )    Although it may look as if the Dragon Moon swallows a helpless Sun during an eclipse the Moon is, of course, much much smaller than the Sun. It is actually a happy coincidence that in the epoch of man the Moon’s apparent size nearly perfectly fits over the disk of the Sun.


The Sun’s distance from the Earth is about 390 times the Moon’s distance, and the Sun’s diameter is about 400 times the Moon’s diameter. Because these ratios are approximately the same, the Sun and the Moon as seen from Earth appear to be approximately the same size: about 0.5 degree of arc in angular measure.1

Yet the Moon moves in an elliptical orbit. Sometimes it is closer to Earth, sometimes farther away. The Earth itself also moves in an elliptical orbit with the same effect with respect to the Sun (though to a much lesser extent—relatively). Considering these two facts helps us understand that the apparent sizes of the Sun and Moon can vary. Essentially the type of eclipse depends on the Moon’s apparent diameter.

There are four types of solar eclipses:

  1. A total eclipse occurs when the apparent diameter of the Moon matches or is greater than the apparent diameter of the Sun and totally covers the Sun. Only a small band of the surface of the Earth will experience ‘totality’.
  2. An annular eclipse occurs when the apparent diameter of the Moon is less than that of the Sun. When the Moon fully covers the Sun a bright ring or annulus appears to the observer.
  3. A partial eclipse is where the Moon partially covers the face of the Sun. The Sun and Moon are not directly in line with respect to the observer.
  4. A hybrid eclipse are rare (A & B type) eclipses which occur when at some points of the transit of the Moon’s shadow it appears as a total eclipse while at other points it appears as an annular eclipse.
Solar eclipse types
  1. Total eclipse in the umbra.
  2. Annular eclipse in the antumbra.
  3. Partial eclipse in the penumbra.

             Figure 2
     Picture not to scale

Figure 3. displays the path of the July 22nd, 2009 (the eclipse in the Sixty Symbols video).The area of total eclipse is displayed by the dark shadow traversingthe globe. A Partial eclipse might be seen by observers in the lightly shadowed areas.
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Figure 3. Path of July 22nd, 2009
Total Eclipse

Totality was visible in many large cities, including Surat, Vadodara, Bhopal, Varanasi, Patna, Gaya, Dinajpur, Siliguri, Guwahati, Tawang in India and Chengdu, Nanchong, Chongqing, Yichang, Jingzhou, Wuhan, Huanggang, Hefei, Hangzhou, Wuxi, Huzhou, Suzhou, Jiaxing, Ningbo, Shanghai, Chapai Nawabganj as well as over the Three Gorges Dam in China. However, in Shanghai, the largest city in the eclipse’s path, the view was obscured by heavy clouds. wiki:[5][6] According to NASA, the Japanese island Kitaio Jima was predicted to have the best viewing conditions wiki: [7][8]featuring both longer viewing time (being the closest point of land to the point of greatest eclipse) and lower cloud cover statistics than all of continental Asia.2

The site of greatest eclipse for a total eclipse, mentioned above, is instant that the cone of the Moon’s shadowcomes closest to the Earth’s center—the location of longest duration.3 The July 22nd eclipse (the video’s eclipse) was the longest of the 21st century, lasting 6 minutes and 39 seconds and is a member of the same Saros cycle as thefamous May 29th, 1919 eclipse—the Einstein eclipse. A Saros cycle describes a set of eclipseswhere the Sun, Moon, and Earth return to the same configuration thereby producing eclipses that arevery similar. As you can see below the tracks of Saros 136 are very similar. Eclipses in a Saros cycle occur approximately 18 years apart.

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Of course, the further away you are, as in the case of STEREO-B.As STEREO-B is 4.4 times further away from the Moon than Earth the shadow that the Moon casts against the Sun’s disk is 4.4 times smalleras you can see from the instrument calibration video shown below.

STEREO-B has a sister ship named STEREO-A. Both are on a mission to study the sun. While STEREO-B lags behind Earth, STEREO-A orbits one million miles ahead (“B” for behind, “A” for ahead). The gap is deliberate: it allows the two spacecraft to capture offset views of the sun. Researchers can then combine the images to produce 3D stereo movies of solar storms.4

Over the next ten years there will be 6 total, 7 annular, 1 hybrid, and 10 partial eclipses.5 Below is shown the NASA table for the coming eclipses over the next ten years. I’m re-thinking mylong term goal of watching a ball game at all the Major League Baseball stadiums ☺.
Solar Eclipses: 2011 – 2020
Calendar Date TD of Greatest Eclipse Eclipse Type Saros Series Eclipse Magnitude Central Duration Geographic Region of Eclipse Visibility
(Link to Global Map) (Link to Animation) (Link to Google Map) (Link to Saros) (Link to Path Table)
2011 Jan 04 08:51:42 Partial 151 0.858 Europe, Africa, c Asia
2011 Jun 01 21:17:18 Partial 118 0.601 e Asia, n N. America, Iceland
2011 Jul 01 08:39:30 Partial 156 0.097 s Indian Ocean
2011 Nov 25 06:21:24 Partial 123 0.905 s Africa, Antarctica, Tasmania, N.Z.
2012 May 20 23:53:53 Annular 128 0.944 05m46s Asia, Pacific, N. America
[Annular: China, Japan, Pacific, w U.S.]
2012 Nov 13 22:12:55 Total 133 1.050 04m02s Australia, N.Z., s Pacific, s S. America
[Total: n Australia, s Pacific]
2013 May 10 00:26:20 Annular 138 0.954 06m03s Australia, N.Z., c Pacific
[Annular: n Australia, Solomon Is., c Pacific]
2013 Nov 03 12:47:36 Hybrid 143 1.016 01m40s e Americas, s Europe, Africa
[Hybid: Atlantic, c Africa]
2014 Apr 29 06:04:32 Annular 148 0.987 s Indian, Australia, Antarctica
[Annular: Antarctica]
2014 Oct 23 21:45:39 Partial 153 0.811 n Pacific, N. America
2015 Mar 20 09:46:47 Total 120 1.045 02m47s Iceland, Europe, n Africa, n Asia
[Total: n Atlantic, Faeroe Is, Svalbard]
2015 Sep 13 06:55:19 Partial 125 0.788 s Africa, s Indian, Antarctica
2016 Mar 09 01:58:19 Total 130 1.045 04m09s e Asia, Australia, Pacific
[Total: Sumatra, Borneo, Sulawesi, Pacific]
2016 Sep 01 09:08:02 Annular 135 0.974 03m06s Africa, Indian Ocean
[Annular: Atlantic, c Africa, Madagascar, Indian]
2017 Feb 26 14:54:32 Annular 140 0.992 00m44s s S. America, Atlantic, Africa, Antarctica
[Annular: Pacific, Chile, Argentina, Atlantic, Africa]
2017 Aug 21 18:26:40 Total 145 1.031 02m40s N. America, n S. America
[Total: n Pacific, U.S., s Atlantic]
2018 Feb 15 20:52:33 Partial 150 0.599 Antarctica, s S. America
2018 Jul 13 03:02:16 Partial 117 0.336 s Australia
2018 Aug 11 09:47:28 Partial 155 0.737 n Europe, ne Asia
2019 Jan 06 01:42:38 Partial 122 0.715 ne Asia, n Pacific
2019 Jul 02 19:24:07 Total 127 1.046 04m33s s Pacific, S. America
[Total: s Pacific, Chile, Argentina]
2019 Dec 26 05:18:53 Annular 132 0.970 03m39s Asia, Australia
[Annular: Saudi Arabia, India, Sumatra, Borneo]
2020 Jun 21 06:41:15 Annular 137 0.994 00m38s Africa, se Europe, Asia
[Annular: c Africa, s Asia, China, Pacific]
2020 Dec 14 16:14:39 Total 142 1.025 02m10s Pacific, s S. America, Antarctica
[Total: s Pacific, Chile, Argentina, s Atlantic]

                                 Table 1. Solar Eclipses: 2011 – 20205

If you live in Europe the last total eclipse you might have viewed occurred on August 11, 1999. This was Europe’s first since 1990 andfor Great Britain the first since 1927. European’s will have to be satisfied with partialeclipses (though a trip to the Faroes in 2015 might prove interesting).

The last eclipse to touch on U.S. soil was the eclipse of July 11th, 1991which was visible over parts of Hawaii.

So, when will the next total eclipse occur in the United States?

August 21, 2017

SE1991Jul11T

Solar eclipse of August 21, 2017

The site of greatest eclipse will be in Christian County, very near Hopkinsville, Kentucky at about 1:25pm on the 21st ofAugust, 2017 and will last for approximately 2 minutes and 40 seconds. I’m just 400 miles away. Party! I’ll bet you too can hardly wait!

If all that beer and fireworks just isn’t enough and you can wait a bit, in just seven more years another eclipse which will track an intersect with the 2017 eclipse within miles of Southern Illinois University.

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Abbondanza! Two total eclipses in 7 years.

As exciting and spectacular as these spectacular events are to regular folk just watching, they have been and are even more important and exciting to scientists, nerdy geeks that they are, as scientific events. An incredible amount of knowledged was gleaned from theirobservations. Eclipses provide an opportunity to learn, to test theories, and, likethe rest of us, a chance to wonder at the splendor of the universe.

In 1868 the previously unknown element Helium was discovered using Gustav Kirchhoff spectrometer by Pierre Janssen in the chromosphere of the sun during the eclipse of August 1868. From the Wikipedia article6

This line was initially assumed to be sodium. On October 20 of the same year, English astronomer Norman Lockyer observed a yellow line in the solar spectrum, which he named the D3 Fraunhofer line because it was near the known D1 and D2 lines of sodium.[wiki:5] He concluded that it was caused by an element in the Sun unknown on Earth. Lockyer and English chemist Edward Frankland named the element with the Greek word for the Sun, ηλιος (helios).”6

Helium_spectrum
Figure 4. Spectrograph showing the bright yellow of Helium7

But, perhaps, the most important observation of an eclipse, one that probably has had the most impact on science over the last century came in 1919 when Sir Arthur Eddington lead an expedition to the Atlantic island of Principe to view the eclipse of May 29th, 1919.

Eddington was one of Einstein’s greatest advocates in Britain. He and his esteemed collegue Frank Watson Dyson, Astronomer Royal (1910-1933) mounted two expeditions to view the eclipse of May 29, 1919. Dyson entrusted Andrew Crommelin from the Royal Observatory off to far away Sobral in northern Brazil. Dr. Eddington to Principe, an island off the coast of Africa. The purposeof their expeditions was succinctly summarized in their paper of January, 1920.

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Exhibit 1. First page of Watson, Eddington, Davidson’s paper:
A Determination of the Deflection of Light by the Sun’s Gravitational Field, from Observations Made at the Total Eclipse of May 29, 1919

Eddington’s observations were the trigger that started a cascade of support for Einstein’s theory of gravitation, General Relativity. Their work supported the Equivalence Principal.

XFigure 5.
According to general relativity, a light ray arriving from the left would be bent inwards such that its apparent direction of origin, when viewed from the right, would differ by an angle (α, the deflection angle; see diagram below) whose size is inversely proportional to the distance (d) of the closest approach of the ray path to the center of mass.9

XExhibit 2.
One of Eddington’s photo- graphs of the total solar eclipse of 29 May 1919, presented in his 1920 paper announcing its suc- cess, confirming Einstein’s theory that light “bends”8

In the physics of general relativity, the equivalence principle refers to several related concepts dealing with the equivalence of gravitational and inertial mass, and to Albert Einstein’s assertion that the gravitational “force” as experienced locally while standing on a massive body (such as the Earth) is actually the same as the pseudo-force experienced by an observer in a non-inertial (accelerated) frame of reference.10

Well there you have it, quite possibly more than you’d ever wanted to know about eclipses even though there are, I suspect, terabytes more. I hope I’ve informed and entertained you for a momment, and I’d like to thank you for taking the time to read this stumbling meander around the light and the dark.

Footnotes

0 Eclipse Photos: “Ring of Fire” Shines Over Africa, Asia
1 Solar eclipse
2 Solar eclipse of July 22, 2009
3 Fred Espenak; Glossary of Solar Eclipse Terms
4 STEREO Eclipse – NASA Science
5 Fred Espenak; Solar Eclipses: 2011 – 2020
6 Helium
7 Spectrograph of Helium
8 Photographic plate of May 29, 1919 Eclipse
9 Gravitational deflection of light
10Equivalence principle

References

Kochhar, R. K. (1991). “French astronomers in India during the 17th – 19th centuries”. Journal of the British Astronomical Association 101 (2): 95-100. http://articles.adsabs.harvard.edu//full/1991JBAA..101…95K/0000100.000.html. Retrieved 2008-07-27.
Emsley, John (2001). Nature’s Building Blocks. Oxford: Oxford University Press. pp. 175-179. ISBN 0-19-850341-5.
Clifford A. Hampel (1968). The Encyclopedia of the Chemical Elements. New York: Van Nostrand Reinhold. pp. 256-268. ISBN 0442155980.
Sir Norman Lockyer – discovery of the element that he named helium” Balloon Professional Magazine, 7 August 2009.
“Helium”. Oxford English Dictionary. 2008. http://dictionary.oed.com/cgi/entry/50104457?. Retrieved 2008-07-20.
Thomson, W. (1872). Frankland and Lockyer find the yellow prominences to give a very decided bright line not far from D, but hitherto not identified with any terrestrial flame. It seems to indicate a new substance, which they propose to call Helium. Rep. Brit. Assoc. xcix.
S. A. Mitchell’s Eclipses of the Sun, Columbia University Press, 1951. pp 104.
Crelinsten, Jeffrey. “Einstein’s Jury: The Race to Test Relativity”. Princeton University Press. 2006. Retrieved on 13 March 2007. ISBN 9780691123103
Dyson, F. W.; Eddington, A. S.; Davidson, C. (1920), “A Determination of the Deflection of Light by the Sun’s Gravitational Field, from Observations Made at the Total Eclipse of May 29, 1919”, Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Math. Or Phys. Character 220: 291-333, doi:10.1098/rsta.1920.0009
Coles, Peter, (2004) Eclipse that Changed the Universe – Einstein’s Theory of Relativity

Links

Putting Relativity to The Test
[0709.0685] Not Only Because of Theory: Dyson, Eddington and the Competing Myths of the 1919 Eclipse Expedition
[astro-ph/0102462] Einstein, Eddington and the 1919 Eclipse
Backreaction: Light Deflection at the Sun
Gravity and light | Cosmic Variance | Discover Magazine
Einstein’s jury: the race to test … – Google Books
General Relativity & Black Holes
NASA – Total Solar Eclipse of 1919 May 29
NASA – Total Solar Eclipse of 2017 Aug 21
NASA – Total Solar Eclipse of 2024 Apr 08
NASA – Google Maps and Solar Eclipse Paths: 2021 – 2040
NASA – Total Solar Eclipse of 2009 July 22
Periodicity of Solar Eclipses
NASA – Catalog of Solar Eclipses of Saros 136
Albert Einstein – Wikipedia, the free encyclopedia
Arthur Eddington – Wikipedia, the free encyclopedia
Einstein and Eddington – Wikipedia, the free encyclopedia
Erwin Finlay-Freundlich – Wikipedia, the free encyclopedia
Fifth force – Wikipedia, the free encyclopedia
Frank Watson Dyson – Wikipedia, the free encyclopedia
Gustav Kirchhoff – Wikipedia, the free encyclopedia
Lewis A. Swift – Wikipedia, the free encyclopedia
Saros cycle – Wikipedia, the free encyclopedia
Solar eclipse – Wikipedia, the free encyclopedia
Solar eclipse of April 8, 2024 – Wikipedia, the free encyclopedia
Solar eclipse of August 11, 1999 – Wikipedia, the free encyclopedia
Solar eclipse of August 21, 2017 – Wikipedia, the free encyclopedia
Solar eclipse of July 11, 1991 – Wikipedia, the free encyclopedia
Solar eclipse of July 22, 2009
Solar eclipse of May 29, 1919 – Wikipedia, the free encyclopedia
Orbital period – Wikipedia, the free encyclopedia
Tests of general relativity – Wikipedia, the free encyclopedia
William Wallace Campbell – Wikipedia, the free encyclopedia
On the Deflection of a Light Ray from its Rectilinear Motion – Wikisource
Eclipse Photos: “Ring of Fire” Shines Over Africa, Asia
Best Space Pictures of 2010: Odd Aurora, Ring of Fire, More
Arthur Eddington was innocent!
The Confrontation between General Relativity and Experiment
http://relativity.livingreviews.org/Articles/lrr-2006-3/articlesu7.html#x13-240003.4
A Determination of the Deflection of Light by the Sun’s Gravitational Field, from Observations Made at the Total Eclipse of May 29, 1919 – Philosophical Transactions A
STEREO-B calibration test audio report
STEREO Eclipse – NASA Science
Welcome to the STEREO website!
NASA – Sun-Earth Day – News and Events – News and Articles
Einstein Archives Online – Archival Database Query
Atkinsopht/Astronomy
Welcome to Einstein Online – relativity and more! – Einstein Online
A brief history of gravitational lensing – Einstein Online
Gravitational deflection of light – Einstein Online
Eclipse that Changed the Universe – Einstein’s Theory of Relativity
10 amazing images of Jupiter: Rare triple eclipse | MNN – Mother Nature Network
Relativity and the Eclipse – Einstein
1919 Eclipse and General Relativity
Sixty Symbols – Physics and Astronomy videos
Discovery of Helium in the Sun: Spectroscopy, Coronium, Nebulium, and the Periodic Table
Gravity and light
Gravity bending light
I wish to thank Dr. Amanda Bauer, (best supporting scientist award, the star was the Sun ☺), whose enthusiasm and sheer delight at just being where the Sun, the Earth, and the Moon did something spectacular was contagious, entertaining, and informative. I would also like to thank the scientists/teachers of University of Nottingham and Brady Haran for producing Sixty Symbols a tremendous contribution to the internet community.

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    • on 12/12/2010 at 21:12
      Author

    I hope you find this as fun to read at least equal to the struggles I had writing it 🙂  

    • on 12/15/2010 at 08:28

    does the sun shine?

    vs. Why does the sun really shine?

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