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Repeating the Experiment that Made Einstein Famous

A successful measurement of the solar deflection of stars during the August 21, 2017 total solar eclipse to the highest precision ever realized.

Commercial equipment today is better than ever!

In 1919, astronomers performed an experiment during a solar eclipse, attempting to measure the deflection of stars near the sun, in order to verify Einstein’s theory of general relativity. The experiment was very difficult and the results were marginal, but the success made Albert Einstein famous around the world. Astronomers last repeated the experiment in 1973, achieving an error of 11%. In 2017, using amateur equipment and modern technology, I repeated the experiment and achieved a 3% error. The best available star catalog was used for star positions. Corrections for optical distortion and atmospheric refraction were better than 0.01 arcsec. During totality, I had 20 measurable stars down to magnitude 10. Reference images, taken near the sun during totality, were used for precise calibration. Preliminary test runs performed during twilight in April 2016 and April 2017 accurately simulated the sky conditions during totality, providing an accurate estimate of the final uncertainty and a good set of practice images.

Data Analysis of Eclipse Images

December 23, 2017

By subtracting a blurred corona from each of the 34 images (0.62 second exposures), then combining all of them with a small translation, 18 very accurate, but dim, stars are measureable. Combining the 11 shorter images (0.09 seconds) allowed me to measure the two stars that are closer to the sun, and used other stars in those images to get a good alignment. A total of 20 stars are included in my final results. The left figure shows the image with the 0.62 sec exposures, the center figure shows the star positions indicated with the white circles, and the right figure shows the image with 0.09 sec exposure. Based on the location of the two close-in stars, the exposures were just about perfect!

I was originally hoping to see 8 stars that would be bright enough to get good data (Eddington based his analysis on only 5 stars in 1919!). The data shows me many more stars, so my final results were much better. (Click here to see Mathcad program example.)

Presentations and publications:

Society for Astronomical Sciences, paper and lecture, completed June 2016.

Sky & Telescope Magazine, article published August 2016.

Sky & Telescope Magazine special Eclipse issue, August 2017.

Reference to the S&T article

Sky & Telescope News blog

“Using Arago’s spot to monitor optical axis shift in a Petzval refractor”, D.G. Bruns, Applied Optics Vol. 56, #8, pp. 2074-2077 (2017).

“Astrometric distortion calibration of a portable refractor”, D.G. Bruns and C.T. Bruns, Applied Optics Vol. 56, #8, pp. 6288-6292 (2017).

Discover Magazine blog, interview posted May 5, 2017

Astronomy Magazine list of cool experiments, posted May 15, 2017.

Article in Live Science blog, July 26, 2017;

NASA blog

Universe of Learning: A presentation from Sonoma State

Tele Vue Optics, one of my sponsors, has been posting my progress on their own web pages. Click here to read their stories about me: http://bit.ly/TVOEMNP101isRel3

Hackaday blog, August 16, 2017

Presentation at AstroCON, August 17, 2017, in Casper, WY. About 400 amateur astronomers in the audience.

Repeat presentation on August 18 at the Lion’s Camp for interested students and astronomers.

Setting up on Casper Mountain, video by Canon

SHSU Student blog

Newsweek mentions the experiment

Astronomy blog posted after the eclipse

Story in the Colorado Springs Gazette-Telegraph Newspaper about me and my brother getting ready for the eclipse, performing this experiment and one other

Final paper in draft form (with small errors to be corrected in the final published paper) is available at arxiv.org.

Classical and Quantum Gravity blog

Just Science blog

CloudyNights forum

AAS blog

Inside Science blog

Very nice Tele Vue blog from NEAF, with lots of photos.

NEAF Review

NEAF talk, April 21, 2018 raw version before editing. See Day 1, third talk. About 500 amateur astronomers in the audience.

Cosmic Perspective Radio interview by Andy Poniros at NEAF on WPKN radio 89.5FM

Final eclipse report, 2018, published by Classical and Quantum Gravity, on March 6, 2018 (Vol 35, No. 7, 12 April 2018).

Follow-up article in Sky & Telescope magazine in August 2018, and on their web page at SkyandTelescope.com.

“Sky brightness and color measurements during the 21 August 2017 total solar eclipse”, D.G. Bruns and R. D. Bruns, Applied Optics Vol. 57 #16, pp. 4590-4594 (2018).

Astro-Imaging Channel on YouTube, discussion of my experiment by Bob Denny, author of one of the software packages I used. He talks about my experiment for 7 minutes.

A German astronomy web blog, with an article in the September 2018 print issue.

Physics Today had a 1-year anniversary summary of Eddington’s experiment, featuring my results.

Science News had a 1-year anniversary summary of Eddington’s experiment, a shorter version of the Physics Today blog.

Discussed in an interview by Prof. Duncan (CU-Boulder) on Colorado Public Radio.

Included in “Theory and Experiment in Gravitational Physics” (Second Edition), a book by Clifford Will, published in 2018.

Invited lecture at the American Association of Physics Teachers conference in Houston in January 2019. About 100 physics teachers in the audience.

Invited lecture at the American Physical Society conference in Denver in April 2019. About 150 physicists in the audience, including Kip Thorne (Nobel winner 2017). The slides can be seen here.

Very nice review of the APS Denver talk on the Forbes weblog, “One Hundred Years of Gravity Bending Light,” by Chad Orzel.

Smithsonian weblog on the centennial of Eddington’s success includes details of my measurements.

This Naked Scientists web article was published on the anniversary of the 1919 eclipse.

Tele Vue web blog celebrating the Centennial of the Eddington eclipse.

Sky and Telescope mentions my experiment as an example of astronomy using small telescopes, in the August 2019 issue, page 25.

Still to come:

Included in O Eclipse de Einstein [Einstein’s eclipse], a book by Prof. Nuno Crato and Prof. Luís Tirapicos, to be published in 2019 in Portugal.

Possible mention in IMAX Einstein documentary movie 2019 (release may be delayed until 2020).

Acknowledgements:

Al Nagler, Tele Vue Optics, Inc., for loan of the NP101is telescope and optical raytracing.

Greg Terrance, Finger Lakes Instrumentation LLC, for loan of the ML8051 CCD camera.

Stephen Bisque, Software Bisque, Inc., for loan of the MyT Paramount tripod.

George Kaplan and John Bangert, both formerly of USNO, for astrometric advice and help with NOVAS.

Norbert Zacharias, USNO, for astrometric advice.

This research has made use of FORTRAN version of NOVAS, the Naval Observatory Vector Astrometry Software package.

This research has made use of the VizieR catalogue access tool, CDS, Strasbourg, France. The original description of the VizieR service was published in A&AS 143, 23.

Suresh Rajgopal, for help in setting up gfortran.

Corey Bruns, for help in automating the data analysis with linear algebra advice.

Ted Pecoraro, for help in improving the Paramount field tripod feet.

Steve Lang, for help setting up in Wyoming.

Jerry Kassebaum, for suggesting locations near Casper.

Greg Kinne, for help in scripting TheSky.

Ron Bruns, for calibrating weather instruments and operating an auxiliary experiment.

Thank you for your interest in Stellar Products!

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Web page last updated July 7, 2019.