Historical photos and information about the Hafele-Keating experiment
Ben Crowell
I teach physics, and I love the Hafele-Keating experiment as a way
to introduce relativity. Because the experiment has a lot of charisma,
it's cool to be able to show students photos of the men and the
clocks aboard the plane. The general relativity text by Hartle had
a photo that he claimed was of Hafele and Keating boarding a plane,
but it turns out that that was a mistake. Some actual photos from
the experiment have been available online for a while, but they were
low resolution. I've obtained and scanned copies of these at higher
resolution and posted them here. Below each low-resolution photo is a link to a full-resolution version.
In the course of digging up the photos, I ended up compiling some other links and
information. Below the photos I've presented some of these items that might be of historical or pedagogical interest.
Photos
[Full resolution]
(c) 1971 Associated Press, from Time Magazine, October 18, 1971.
Reproduced here under the fair use exception to U.S. copyright law.
Article (paywalled).
I have retouched the photo, but that retouching is not copyrightable under U.S. law.
[Full resolution]
From Popular Mechanics, January 1972, p. 30.
Article in Google Books.
I don't know the copyright status of this photo. This issue of Popular Mechanics does not give specific photo credits for almost any of the photos in it.
If this was a snapshot taken by the crew or another passenger, then it is now in the public domain
due to its publication without notice before 1977. If it was taken by a photographer as a work for hire, then it is (c) 1971 Hearst Corporation.
If it was taken by an employee of the U.S. Naval Observatory, then it is a public-domain product of the U.S. government.
In the event that it is copyrighted, I am reproducing it here under the fair use exception to U.S. copyright law.
I have retouched the photo, but that retouching is not copyrightable under U.S. law.
[Full resolution]
This photo, from the same era as the Hafele-Keating experiment, shows U.S. Naval Observatory technicians George Luther and Bill Dabney
boarding a commercial plane with an atomic clock. It is a public-domain product of the U.S. government.
Other contemporary accounts in the popular press
- Scientific American, September 1972
- New Scientist,
Feb 3, 1972, "The clock paradox resolved"
- C.P. Gilmore, "After 63 years, why are they still testing Einstein?,"
Popular Science, Dec. 1979, p. 58. An article from later in the decade, describing the golden age of experimental tests of general relativity
during the lead-up to the construction of the GPS system.
Scientific papers describing the Hafele-Keating experiment
- Hafele and Keating, "Around the world atomic clocks: predicted relativistic time gains." Science 177 (1972) 166.
- Hafele and Keating, "Around the world atomic clocks: observed relativistic time gains." Science 177 (1972) 168.
- Hafele, "Performance and results of portable clocks in aircraft," PTTI, 3rd Annual Meeting, 1971.
This is as far as I know the only scientific paper about the Hafele-Keating experiment that is not paywalled.
Only a preliminary analysis of the scientific results is presented, and the focus is mainly on the performance of the clocks.
There is a transcript of a Q&A session at the end that provides some nice historical context about the scientific value of the experiment.
Papers by Alley et al.
A group at the University of Maryland led by C. Alley did clock-on-plane
experiments similar to Hafele and Keating's, improving the precision and
measuring the relativistic effects to about 1% and testing the dependence on variables such as latitude.
- C. Alley, "Proper Time Experiments in Gravitational Fields with Atomic Clocks, Aircraft, and Laser Light Pulses," in Quantum Optics, Experimental
Gravity, and Measurement Theory, eds. Pierre Meystre and Marlan O. Scully, Proceedings Conf. Bad Windsheim 1981, Plenum Press, New York, 1983,
ISBN 0-306-41354-X, pp. 427363. Includes a photo on p. 415 of Alley's "two-ton Timex" being rolled onto a military cargo plane.
- C.O. Alley,
"Introduction to Some Fundamental Concepts of General Relativity and to Their Required Use in Some Modern Timekeeping Systems,"
in NASA Goddard Space Flight Center Proc. of the 13th Ann.
Precise Time and Time Interval (PTTI) Appl. and Planning Meeting, p. 687-724, 1981 (SEE N82-20494 11-36). Contains some muddy reproductions of
photos, e.g., on p. 33.
- R.A. Reisse, "The Effects of Gravitational Potential on Atomic Clocks as Observed With a Laser Pulse Time Transfer System," University of Maryland Ph.D. dissertation (May, 1976).
- R.E. Williams, "A Direct Measurement of the Relativistic Effects of Gravitational Potential on the Rates of Atomic Clocks Flown in an Aircraft," University of Maryland Ph.D. dissertation (May, 1976).
- AIP interview with Alley
Other scientific papers of historical or pedagogical interest
- R.F.C. Vessot et al., "Test of Relativistic Gravitation with a Space-Borne Hydrogen Maser," Physical Review Letters 45 (1980) 2081. This paper describes
the Gravity Probe A experiment, in which a suborbital probe measured gravitational time dilation on an atomic clock to about 0.01%.
- L. Briatore and S. Leschiutta, Evidence for the earth gravitational shift by direct atomic-time-scale comparison, Il Nuovo Cimento B, 37B (2): 219 (1979).
- S. Iijima and K. Fujiwara, An experiment for the potential blue shift at the Norikura Corona Station, Annals of the Tokyo Astronomical Observatory, Second Series, Vol. XVII, 2 (1978) 68.
An article reproducing a graph of their data.
- Chou et al., "Frequency Comparison of Two High-Accuracy Al+ Optical Clocks, 2010. This is the first experiment I know of
in which kinematic time dilation was observed using an atomic clock, without any gravitational time dilation.
- nontechnical description of the Chou experiment
Modern hobbyist Tom Van Baak has done a truly amazing mountain-valley experiment of this flavor
with a second-hand atomic clock in the family minivan. There is a web site and mailing list (Time Nuts) for
people who do high-precision timing experiments for fun, and they have a museum with old photos
and documentation.
I would be grateful to anyone who could e-mail me
with any of the following:
- Any biographical information about Hafele or Keating. All I currently know is where they were employed in
1971, that Dr. Hafele later worked at Christopher Newport University,
and Dr. Keating's approximate date of death in 2004-2005.
- Related historical photos that are in the public domain.
- Any images of high educational or historical interest from the Iijima paper or the Reisse and Williams theses (which I don't have access to).
- Information about the copyright of the photo that appeared in Popular Mechanics.