I remember Dr. Eckert did say to me, “One day, everybody is going to
have a computer right on their desk.” My eyes popped open. That must
have been in the early 50s. He foresaw it.
—Eleanor Krawitz Kolchin,
Huffington Post interview,
February 2013.
Wallace John Eckert, 1902-1971. With graduate study at Columbia,
the University of Chicago, and Yale, he received his Ph.D. from Yale in 1931
under Professor
Ernest William Brown (1866-1938), who devoted his career to developing a
theory of the motions of the moon. Best known for the lunar orbit
calculations that guided the Apollo missions to the moon, Eckert was a
Columbia University Astronomy Professor from 1926 to 1970, founder and
Director of the Thomas J. Watson Astronomical Computing Bureau at Columbia
University (1937-40), Director of the
US Naval Observatory Nautical Almanac
Office (1940-45), and founder and Director of the Watson Scientific
Computing Laboratory at Columbia University (1945-1966). First, foremost,
and always an astronomer, Eckert drove and often oversaw the construction of
increasingly powerful computing machines to solve problems in celestial
mechanics, particularly to verifying, extending, and improving Brown's
theory. He was one of the first to apply punched-card machines to the
solution of complex scientific problems. Perhaps more significantly,
he was the first to automate the process when,
in 1933-34, he interconnected various IBM
calculators and tabulators with control circuits and devices of his design
to solve differential equations, methods that were later adapted and
extended to IBM's "Aberdeen" Pluggable Sequence
Relay Calculator, Electronic Calculating Punch,
Card Programmed Calculator, and
SSEC.
As Director of Watson Lab and IBM's Director of Pure Science, he oversaw
construction of the SSEC (arguably the first true computer) and NORC (less arguably the first supercomputer), the most
powerful computers of their day, as well as of the IBM
610 – the world's first "personal computer" – and he
installed the first computers at Columbia open to research and instruction,
meanwhile initiating what might very well be
the first computer science curriculum, in 1946, including his own
course, Astronomy 111-112: Machine Methods in Scientific Computing,
along with other courses that same year taught by
Watson Lab scientists Grosch and
Thomas.
Eckert's astronomical interests were not limited to the Moon. He also
produced an ephemeris of the five outer planets and works on orbital theory
and measuring techniques. He capitalized on the arrival of the Watson Lab Aberdeens to plug a post-war gap in the calculation
of the annual asteroid ephemeris, the
Kleine Planeten,
when no national facility could respond in
time [59].
While Eckert devoted considerable energy to automating his own calculations,
he was not hell-bent on blindly automating everything in sight. In a
January 11, 1941, letter to IBM's D.W. Rubidge concerning the
WPA
Project for the Computation of Mathematical Tables, Eckert wrote, "In
discussing a large project of table making one must consider whether the
idea is to avoid work or to make it. Your machines are not well suited to
the latter, and hence are not recommended as a solution of the unemployment
problem during a depression."
In 1948 Eckert received the National Academy of Sciences James Craig Watson
Medal for outstanding astronomical research. His Improved Lunar Ephemeris
guided the Apollo missions [92]; he
attended the Apollo 14 launch just before his death. Eckert is also author
of Punched Card Methods in Scientific
Computation (1940),
considered the first computer book, which influenced other pioneers of
computing such as Presper Eckert (no relation!), Howard Aiken, and Vannever
Bush [90], and
he can also be credited, in a sense, with the first
"computer"-driven typesetting (1945). Eckert brought computing to
Columbia University and played a key role in bringing it to the rest of the
world.
From The
Lunar Republic, explaining the origin of the name Eckert Crater
(17.3 N Latitude; 58.3 E Longitude):
Eckert, Wallace John (1902-1971),
American astronomer; a pioneer in the use of computers to
tabulate astronomical data. Director of the U.S. Nautical Almanac Office
during World War II. In this post he introduced machine methods to compute and
print tables and began publication of the Air Almanac in 1940. Eckert directed
the construction of a number of innovative computers for performing
astronomical calculations, including the
Selective Sequence Electronic Calculator (SSEC, 1949)
and the Naval Ordnance Research Calculator (NORC,
1954), which for many years was the most powerful computer in the world. The
accuracy of Eckert's calculations of the Moon's orbit was so good that in 1965
he was able to correctly show that there was a concentration of mass near the
lunar surface. In 1967, he produced data which improved on Brown's theory of
the Moon.
A prefatory remark (not attributed) in the 1966 Eckert-Smith Nautical Almanac
opus concludes, "W.J. Eckert had worked with E.W. Brown in the elaboration of
the latter's theory during the 1930's. He returned his attention to the Lunar
Theory in the 1950's when automatic computing machines — for whose
development he was himself greatly instrumental — made such an undertaking
much more manageable. It is melancholic to note that he died shortly after
completing the text for the very last section of this manuscript." His work
was completed by Martin Gutzwiller (a physicist and Eckert's Watson-Lab
colleague) and Dieter S. Schmidt (now on the EE&CS faculty at the
University of Cincinnati) and published in the Gutzwiller papers listed below.
Martin Gutzwiller says, "In spite of all [his] marvelous achievements Eckert
remained an individual without the slightest trace of pretense. His ideas
were clear and his judgement was always well-founded and
straightforward." [90]. All who knew
him agree he was quiet, pleasant to be with, and modest to a fault.
Of Wallace Eckert, Herb Grosch says, "If he had
wanted to abandon astronomy and become a computer man, I'm sure he would have
been a much better known figure. His contributions were enormous but they were
disguised by the fact that he really did them in order to do better astronomy"
(Computer Museum lecture, October 22, 1982). And later, "If there had been
a Nobel prize in astronomy [Eckert] and his confreres Dirk Brouwer
at Yale and Gerald Clemence at the Naval Observatory would have won it for the
tremendous contributions they made to our exact knowledge of the motion of the
Moon and the planets, using the SSEC and later IBM
equipment." [57,p.118].
Image gallery
Click to see the images...
Open Questions:
Eckert's role in the development of modern computers is largely overlooked
and, I believe, underrated. His key contribution is the achievement of
automatic sequencing, first in 1933-34 in his
Rutherford Observatory apparatus, then to some
degree in 1941-46 at
the Naval Observatory (in his
card-operated
table printer), then at Columbia's postwar Watson Lab, first with the
experimental relay calculators, Nancy and Virginia, then with
SSEC and NORC. A form of
automatic sequencing was present in IBM's Aberdeen
Relay Calculators (1944) and at least one history (Campbell-Kelly
reference below) credits Eckert (but without attribution) with having
"specified" these machines while at the Naval Observatory, while John McPherson mentions wartime trips with Eckert
to the Ballistics Research Lab [74].
Herb Grosch says:
About the Aberdeens, I'm on your side: I can't help believing [Eckert]
contributed. But there doesn't seem to be a trace of evidence. For
instance, how did he "order" the ones for the WSCL? Was it part of his
hiring-in process in early 1945? IBM moved so fast with The Old Man in
control — increasing the production run from three (two upgrades and
Dahlgren) to five would have been a cinch, and not a word need to have been
in writing. But that implies Wallace knew the upgrading was to take place
while still at the Naval Observatory! I betcha Cunningham talked to him on
the telephone in late 1944, maybe repeatedly, but we'll never know.
Never mind! July 29, 2010: Allan Olley reports on a 1967 IBM Oral
History interview where the mystery is solved:
S:
Did you ever get involved in things like the relay calculator such as
Aberdeen and evaluate it for possible use in your operation?
E:
No. These things came along reasonably late in the war and by that time
I was preparing to leave the Naval Observatory...
Nancy and Virginia were built by Pete Luhn at IBM and delivered to Watson
Lab in 1946; what was Eckert's role in their design and production? What
about IBM's Card Programmed Calculator (1949)? The
latter is commonly traced back to a prototype at
Northrop Aircraft built in 1948 from an IBM 603 muliplier and a 405
accouning machine, but I strongly suspect that Northrop got the idea from
Eckert's 1946 and/or 1947 IBM Forum presentations or Proceedings, in which
he introduced Nancy and Virginia (though not by name) as "baby sequence
calculators" programmed from cards
[89,105]. Brennan [9] writes of:
...electromechanical multipliers of several kinds (known only by such code
names as Nancy and Virginia). Of special interest was an experimental model
of a fast arithmetic processor, which Eckert attached to an accounting
machine. Instead of being programmed through wiring on the control panel,
the machine was controlled by coded punches on cards. The result was an
early form of sequence calculator that anticipated IBM's famed Card
Programmed Calculator.
What part did Eckert's Astronomical Computing Lab in
Pupin Hall play in the early
Manhattan Project, when Fermi, Szilard, Rabi, Urey, et al., were at Columbia
in the late 1930s in very the same building? Given the propensity of the next
generation of nuclear scientists for gathering and analyzing massive amounts
of data, it's hard to believe they would not have wanted at these machines.
But according to Herb Grosch, this was not the case:
The [nuclear] boys all wanted to jump on the machines AFTER they saw
von Neumann and Feynman using them (1944, say). Not earlier. Urey and
Rabi knew Eckert as a fellow MFCCU [Columbia Men's Faculty Club] luncher and
an astronomer, but as I say on p.30
nobody actually computed their stuff — out of the question. What
little was done to numerically solve PDEs was done by relaxation techniques,
and more by engineers like Southwell than by Courants. There was a method
due to a bloke named Ritz ..... These were NOT well adapted to [punched
card] machines, or early biggies either. The kind of grinding away that
astronomers had reluctantly done — a lifetime for one pub —
didn't find takers in the Thirties in [physics]. They built cyclotrons
instead!
In any case, it is a fact that the computing facilities of the Los Alamos
Scientific Laboratory of the Manhattan Project, as well as the US Army's
Aberdeen Proving Ground, were based on Eckert's Columbia Lab.
What contacts existed between Wallace Eckert and Presper Eckert and John
Mauchly? What influence, if any, did the Columbia lab have on ENIAC? The trail (if there is one) is well hidden
since aspects the ENIAC project were classified or at least secret in the
normal sense of the word. There's no correspondence in Eckert's papers, but
these don't include his Naval Observatory papers, which have gone missing.
Allan Olley reports on 25 July 2006:
I recently found out there was an IEEE Spectrum article written
by Henry Tropp (who wrote the DSB entry on Eckert) that cited Eckert's 1940
book. The title is "The Effervescent years: a retrospective" (IEEE
Spectrum Vol. 11 (2) pp. 70-79, 1974). It mostly talks about George
Stibitz, Howard Aiken and John Mauchly. Wallace Eckert is mentioned on page
74 while talking about John Mauchly:
"While at Ursinus [started in 1933], he [Mauchly] came across the
publications on using punched cards for computation that had been written
by Wallace J. Eckert of Columbia University's computational laboratory...
When Mauchly read Eckert's papers, he realized how little he understood
about statistics and began to study the subject. In 1936 he got a summer
job in his father's section at the Carnegie Institution and started
applying what he had learned about statistics to weather data..."
Unfortunately the citation in this article is lax (he does not
cite anything in this section except Eckert's book). If I understand
it rightly his source is probably something at the Smithsonian Computer
History Project where Tropp was working on around this time, so a letter,
unpublished account or interview).
I would guess it might be a recollection by Mauchly himself that
is the basis for this. Assuming the dates are right 1933-1936 the only
papers of Eckert on punched card calculation that were published was the
abstract of his talk at the Astronomy association (1934), his article on
numerical integration of asteroids in AJ and the article in the
Baehne
book. Given the interest in statistics the reading sparked the Baehne
book seems like the most likely candidate (since I think it had more
things along that line).
Was Eckert's Naval Observatory Table
Printer also the first instance of card programming? Details are
sketchy, but I can find no earlier example. If this is true, it is
significant. Whose idea was it to execute the program partially from cards
rather than completely from plugboard? Again, Eckert's papers from his
Naval Observatory years have vanished. (Herb Grosch says "card-operated" is
not the same as "card-programmed"; it seems the data cards and master cards
were separate, and much manual switching of master cards and plugboards was
required, as opposed to Eckert's Rutherford Lab switch-box of 1934, which,
as Herb says, "'changed the plugboard' without stopping — entirely
different and much more original.")
Did Eckert have direct contact with NASA? Since he resumed his lunar
orbit work just as Apollo was gearing up, you'd think there would be some
connection, but I can find no evidence of it. (All reports indicate that
his 1949 Improved Lunar Ephemeris was "good enough" and NASA didn't want to
complicate matters by introducing new tables or methods.) But one way or
another, Eckert's work did, indeed, guide the Apollo missions.
And it's quite likely that
Hidden
Figure Katherine Johnson (and others) based her work on Eckert's. I
wonder if they ever communicated or met.
Campbell-Kelly, Martin, "Punched-Card Machinery", Chapter 4 in Aspray,
William, Computing Before Computers, Iowa State University Press,
Ames IA (1990), p.149.
Ceruzzi, Paul, "Crossing the Digital Divide", IEEE Annals of
the History of Computing Vol.19 No.1 (January-March 1997). "Examines
... the ensembles of punched card equipment used by L.J. Comrie and Wallace
Eckert for scientific instead of business use."
Gutzwiller, Martin C., "The Numerical Evaluation of Eckert's Lunar
Ephemeris", Astronomical Journal, Vol.84, No.6 (June 1979),
pp.889-899. Gutzwiller was on the Watson Library technical staff from
1962 to 1970.
Gutzwiller, Martin C., and Dieter S. Schmidt, "The Motion of the Moon as
Computed by the Method of Hill, Brown, and Eckert", Astronomical Papers
of the American Ephemeris, Vol.23, Part 1 (1986).
Gutzwiller, M.C., "Wallace Eckert, Computers, and the Nautical Almanac
Office" in Fiala, Alan D., and Steven J. Dick (editors),
Proceedings, Nautical Almanac Office Sesquicentennial Symposium,
U.S. Naval Observatory, Washington DC, March 3-4, 1999, pp.147-163.
Dick, Steven, "History of the American Nautical Almanac Office",
The Eckert and Clemence Years, 1940-1958, in Fiala, Alan D., and
Steven J. Dick (editors), Proceedings, Nautical Almanac Office
Sesquicentennial Symposium, U.S. Naval Observatory, Washington DC,
March 3-4, 1999, pp.35-46.
Dick, Steven, Sky and Ocean Joined: The U.S. Naval Observatory
1830-2000, Cambridge University Press (2002), 800pp.
Hollander, Frederick H., "Punched Card Calculating and Printing Methods
in the Nautical Almanac Office", Proceedings, Scientific Computation
Forum, IBM, New York (1948).
Mixter, George, W. "American Almanacs", in NAVIGATION, Journal of the
Institute of Navigation, Vol.1, No.3 (September 1946).
Seidelmann, P.K., P.M. Janiczek, and R.F. Haupt, "The Almanacs -
Yesterday, Today, and Tomorrow", in NAVIGATION, Journal of the
Institute of Navigation, Vol.24 No.4, Winter 1976-77, pp.303-312.
Explanatory Supplement to the
Astronomical Ephemeris and Nautical Almanac, prepared jointly by the
Nautical Almanac Offices of the United Kingdom and the United States of
America: H.M. Nautical Almanac Office by Order of the Lords Commission
of the Admiralty, London, Her Majesty's Stationey Office (1961), p.106.
Wallace
J. Eckert Papers, 1931-1975 (CBI 9), Charles Babbage Institute, University
of Minnesota, Minneapolis.
"A Great American Astronomer", Sky and Telescope
(Oct 1971), p.207.
"In Memoriam W.J. Eckert", Celestial Mechanics
Vol. 6 (1972), pp.2-3.
Polachek, Harry, "The History of the Journal Mathematical Tables and
other Aids to Computation",
IEEE Annals of the History of Computing, Vol.17, No.3 (1995).
Grier, David Alan, "The Rise and Fall of the Committee on Mathematical
Tables and Other Aids to Computation",
IEEE Annals of the History of Computing (April-June 2001).
Letter to the Editor 2 -- No Title;
Wallace J. Eckert
New York Times (1857-Current file); Oct 26, 1969;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. BR48
[Actual letter by Eckert responding to a review of Think by Rodgers]
SIGMA XI ADMITS 63 AT COLUMBIA
New York Times (1857-Current file); May 6, 1936;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 12
[Eckert joins Sigma Xi]
STATESMEN ASKED TO BE PILOTS, TOO
By CHARLES A. FEDERER Jr., Member Hayden Planetarium StaffSpecial to THE
NEW ...
New York Times (1857-Current file); Jun 13, 1942;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 30
[Eckert affirms the call of others for better navigational training of US
pilots]
CONFERENCE PICKS LEONIA CANDIDATES
Special to THE NEW YORK TIMES.
New York Times (1857-Current file); Feb 2, 1948;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 11
[Eckert runs for the School Board in Leonia NJ, which has an odd
electoral process]
ROBOT BRAIN PLOTS ORBITS OF PLANETS
By ALEXANDER FEINBERG
New York Times (1857-Current file); Sep 12, 1949;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 23
[Announcement of Outer Planets Problem to be run on SSEC]
SCIENTIFIC PUZZLER SOLVED BY 'BRAIN'
New York Times (1857-Current file); Jul 18, 1952;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 17
[Solution of the longstanding problem relating to the emergence of
turbulence in fluid flow]
About New York
By MEYER BERGER
New York Times (1857-Current file); Dec 10, 1954;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 29
[article on the NORC]
Role of Computers in Astronomy Shown in Planetarium's Exhibit
By PHILIP BENJAMIN
New York Times (1857-Current file); Sep 13, 1958;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 40
[A show at the Hayden Planetarium, also Eckert commented on the computers
he saw in the Soviet Union reassuring people that they were not ahead of
the USA.]
Soviet's Scientific Surge Found Cutting U. S. Lead
By WALTER SULLIVAN
New York Times (1857-Current file); Jul 20, 1959;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 1
[Mostly worrying about Soviet scientific resources. Eckert is quoted as
pointing out the relative lack of computers on his trip to the Soviet
Union.]
Calculations Pinpoint Position Of the Moon Within a Few Feet
New York Times (1857-Current file); Apr 14, 1965;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 2
[Report on the Eckert/Smith solution of the Lunar problem by Airy's
method and the empirical confirmation of its largest correction. Also
mentions the Hollow Moon problem.]
LUNAR EQUATIONS CALLED IMPRECISE
By WALTER SULLIVAN
New York Times (1857-Current file); May 24, 1968;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 11
[The JPL find errors in Brown's theory as modified by Eckert.]
I.B.M.
Thomas J. Watson Jr.
New York Times (1857-Current file); Oct 26, 1969;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. BR48
[A letter from Watson Jr. responds to the review of Think by Rodgers]
Letter to the Editor 3 -- No Title
H.T. RoweRidgewood, N. J.
New York Times (1857-Current file); Oct 26, 1969;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. BR48
[Another letter responding to the review of Rodgers book]
Think
By JOHN BROOKS
New York Times (1857-Current file); Oct 5, 1969;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. BR3
[The actual book review of Rodgers book that led to all the letters]
Eckert Memorial Friday
New York Times (1857-Current file); Oct 13, 1971;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 48
[A very short announcement of Eckert's memorial service; this is distinct
>From his obituary.]
Science: Luna 10 is Telling Much About the Moon
By WALTER SULLIVAN
New York Times (1857-Current file); Apr 17, 1966;
ProQuest Historical Newspapers The New York Times (1851 - 2006)
pg. 213
[New information on the Moon from Russian probe. Eckert mentioned in
connection with the Hollow Moon paradox]
BAKHMETEFF JOINS COLUMBIA FACULTY
New York Times 1857; May 17, 1931; ProQuest Historical Newspapers The New
York Times (1851 - 2006)
pg. 33
[Eckert makes assistant professor, it's tucked in right at the end. This
is also the time during which Jan Schilt was hired to the astronomy
department as an associate professor.]
Computing Publications:
Eckert, W.J., "Numerical Integration with the Aid of Hollerith Machines",
Publications of the American Astronomical Society, Vol.8, No.1,
p.9 (1934).
Eckert, W.J., "The Computation of Special Perturbations by the Punched
Card Method", The Astronomical Journal, Vol.XLIV, No.20, Albany
NY (24 Oct 1935).
Eckert, W.J., "The Astronomical Hollerith-Computing Bureau",
Publications of the Astronomical Society of the Pacific,
Vol.49, No.291 (Oct 1937), pp.249-253. This is the announcement of what
would soon be renamed to the Thomas J. Watson Astronomical Computing Bureau.
Eckert, W.J., Punched Card Methods in Scientific Computation,
The Thomas J. Watson Astronomical Computing Bureau, Columbia University,
Lancaster Press, Inc., Lancaster PA (January 1940). "The Orange Book."
Reprinted in 1984 by the Charles Babbage Institute, MIT, and Tomash Publishers
with a new introduction by J.C. McPherson. (A 1952 bibliography prepared
at Watson Lab says "new edition in preparation; the 1954 edition of the
same bibliography dropped this phrase.)
Eckert, W.J., "A Punched-Card Catalogue of Data for the Stars in the
Boss General Catalogue",
Publications of the Astronomical Society of the Pacific,
Vol.52, No.310 (Dec 1940), pp.376-378.
Eckert, Wallace J., Transcript, Systems Service Class No. 591
(Aerial Navigation) for the US Army Air Corps; Department of Education,
International Business Machines, Endicott NY (8 Sep 1944).
W.J.E. (Wallace J. Eckert), "Mathematical Tables on Punched Cards",
Mathematical Tables and Other Aids to Computation (MTAC), Vol.1,
No.12 (Oct 1945), pp.433-436. Founded in 1943, MTAC was the first and, until
1954, only journal dealing exclusively with computation and computing devices.
Eckert was invited to chair the MTAC executive committee but had to decline
due to his wartime responsibilities; nevertheless he participated vigorously
in MTAC's founding and production [88].
Eckert, W.J., "Facilities of the Watson Scientific Computing Laboratory",
Proceedings of the Research Forum, IBM, Endicott NY (Aug 1946),
pp.75-84.
Eckert, W.J., "Punched Card Techniques and Application to Scientific
Problems", Journal of Chemical Education, Vol.24 No.2,
(Feb 1947), pp.54-57,74.
W.J.E. (Wallace J. Eckert) and Ralph F. Haupt, "The Printing of
Mathematical Tables", Mathematical Tables and Other Aids to
Computation, Vol.2, No.17 (Jan 1947), pp.197-202.
Eckert, W.J., "The IBM Department of Pure Science and the Watson
Scientific Computing Laboratory", Education Research Forum
Proceedings, IBM, Endicott NY (Aug 1947)
Eckert, W.J., "Electronic and Electromagnetic Measuring, Computing
and Recording Devices",
Centennial Symposia, December 1946. Harvard Observatory Monographs,
No. 7. Contributions on Interstellar Matter, Electronic and Computational
Devices, Eclipsing Binaries, The Gaseous Envelope of the Earth,
Cambridge, MA: Harvard Observatory (1948), pp.169-178.
Eckert, W.J., "Electrons and Computation", The Scientific
Monthly, Vol.LXVII, No.5 (Nov 1948), pp.315-323.
Eckert, W.J. (as "W.J.Et") and D.B., "Calculating Machines",
Encyclopedia Brittanica, Vol.4: Brain to Casting, University of
Chicago (1949), pp.548-554.
Eckert, W.J., "The Role of the Punched Card in Scientific
Computation", Proc. Industrial Computation Seminar, IBM, New York (Sep 1950),
pp.13-17.
Eckert, W.J., "The Significance of the New Computer NORC",
Computers and Automation, Vol.4 No.2 (Feb 1955), pp.10-13.
Eckert, Wallace J., and Rebecca Jones,
Schneller, Schneller, International Büro-Maschinen
GmbH (1956) (German edition of Faster, Faster).
Eckert, W.J., "Computing in Astronomy", in Hammer, Preston C. (Ed.),
The Computing Laboratory in the University, Univ. of
Wisconsin Press, Madison (1957).
Eckert, Wallace J.,
"Calculating Machines", The Encyclopedia Americana (1958).
IBM Watson Laboratory at Columbia University, Collected Papers,
10 volumes, one for each year, 1960-69. Details uncertain.
Eckert, Wallace J.,
"Early Computers", IBM Research News (May 1963), pp.7-8.
Eckert, W.J., "The Use of Electronic Computers for Analytical Developments
in Celestial Mechanics: A colloquium held by Commission 7 of the IAU in
Prague, 28-29 August 1967", The Astronomical Journal,
Vol.73, No.3 (April 1968), p.195. Eckert chaired this colloquium; the papers
presented there are included in this issue of AJ.
Astronomy Publications:
Eckert, W.J., "The New Observatory at Columbia University",
Popular Astronomy, Vol. 36 (1928), p.333.
Eckert, Wallace John, The General Orbit of Hector,
Yale University Ph.D. Thesis (1931).
Eckert, W.J., "The Asteroids", Natural History
Vol. 31, pp. 23-30.
Eckert, Wallace J., Home Study Course in General Astronomy,
Columbia University Press, NY (1933).
Eckert, W.J., and Dirk Brouwer, "The Use of Rectangular Coordinates in the
Differential Correction of Orbits", The Astronomical Journal,
Vol. XLVI, No.13 (16 Aug 1937). Also in The Bulletin of the Astronomical
Institute of the Academy of Sciences of the USSR, No.53, 1945.
Eckert, W.J., "Ernest William Brown (1866-1938)", Popular
Astronomy, Vol. XLVII, No. 2 (Feb 1939).
Eckert, W.J., "The Occultation Data in the American Ephemeris",
Astronomical Journal, Vol.50 (Dec 1941), pp.95-96.
United States Navy Nautical Almanac Office, The American Air
Almanac, US Government Printing Office, Washington DC (Jan-Apr 1942),
240pp. (And all other issues 1940-1946.)
Eckert, W.J., "The Construction of the Air Almanac", 68th Meeting of
the American Astronomical Society, New Haven CT, 12-14 June 1942 (I don't
know if this is published).
United States Navy Nautical Almanac Office, "Tables of Sunrise, Sunset
and Twilight", Supplement to the American Ephemeris, 1946,
US Government Printing Office, Washington DC (1945), 196pp.
Ephemerides of 783 Minor Planets for the year 1947, Eckert,
W.J., Director, Watson Scientific Computing Laboratory (1946).
CLICK HERE for more about this publication.
Eckert, Wallace John., Dirk Brouwer, and G.M. Clemence,
"Coordinates of the Five Outer Planets, 1653-2060",
Astronomical Papers of the American Ephemeris,
US Government Printing Office (1951), 327pp.
The computations were done on the SSEC and checked on the Aberdeen
Relay Calculators at Watson Lab.
Eckert, W.J, The History of the Astronomy Department at Columbia
University, undated manuscript written somewhere between 1948 and 1953
(I don't know if, or where, this was published).
Eckert, W.J., "Numerical Theory of the Five Outer Planets",
Astronomical Journal, Vol.56 (April 1951), p.38.
Eckert, Wallace J., and Rebecca Jones, "Problems in Astronomy: Automatic
Measurement of Photographic Star Positions",
Astronomical Journal, Vol.59, No.2 (March 1954).
Improved Lunar Ephemeris 1952-1959 (the ILE),
a Joint Supplement to the American Ephemeris and the (British) Nautical
Almanac Issued by the Nautical Almanac Office, US Naval Observatory:
US Government Printing Office, Washington (1954).
This is the work that guided the Apollo missions to the Moon. The
calculations were performed on the SSEC and various Watson Lab machines.
Included in this volume: Eckert, W.J., R. Jones, and H.K. Clark,
"Construction of the Lunar Ephemeris", pp.283-363.
Eckert, W.J., "Improvement by Numerical Methods of Brown's Expressions for
the Coordinates of the Moon", The Astronomical Journal,
Vol. 63, No.10 (Nov 1958). Solution of the 3-body problem on the Watson
Lab IBM 650 at Columbia University.
Eckert, W.J., "Numerical Determination of Precise Orbits",
Orbit Theory, Proceedings of the Ninth Symposium in Applied Mathematics
of the American Mathematical Society (1959).
Eckert, W.J., and Harry F. Smith,
"Results to Date in the Numerical Development of Harmonic Series for the
Coordinates of the Moon",
Transactions of the International Astronomical Union (IAU)
11B (1961), pp.447-449.
Eckert, W.J., and Rebecca Jones, "Measuring Engines",
in Hiltner, W.A., Astronomical Techniques, Vol II:
"Stars and Stellar Systems", U of Chicago Press (1962).
Eckert, W.J., "The Solution of the Main Problem of the Lunar Theory",
Transactions of the International Astronomical Union,
XIIB (1964), p.113.
Eckert, W.J., "On the Motions of the Perigee and Node and the Distribution
of Mass in the Moon", The Astronomical Journal, Vol.70 No.10
(Dec 1965), pp.787-792.
Eckert, W.J., M.J. Walker, and D. Eckert, "Transformations of the Lunar
Coordinates and Orbital Parameters", The Astronomical Journal,
Vol.71 No. 5 (Jun 1966).
Eckert, W.J., and Harry F. Smith, Jr., "The solution of the main problem
of the lunar theory by the method of Airy", Astronomical Papers Prepared
for the Use of the
American Ephemeris and Nautical Almanac, Vol. XIX, Part II,
Published by the Nautical Almanac Office, US Naval Observatory by Direction
of the Secretary of the Navy and under the Authority of Congress;
US Government Printing Office (1966), pp.187-407. The results of the final
lunar orbit calculations, programmed by Smith for Columbia's IBM 7094.
Eckert, W.J., and H.F. Smith, Jr., "The Equations of Variation in a
Numerical Lunar Theory", The Theory of Orbits in the Solar System and
in Stellar Systems (IAU Symposium 25, 1964), Academic Press (1966),
pp.242-260.
Eckert, W.J., "The Moment of Inertia of the Moon Determined from its
Orbital Motion", in Runcorn, S.K., Mantles of the Earth and Terrestrial
Planets, Interscience Publishers (1967).
Eckert, W.J., "The Motions of the Moon", IBM Research Publication RW 87
(22 Aug 1967). A relatively nontechnical explanation of Eckert's life's work.
Eckert, W.J., and Dorothy A. Eckert, "The Literal Solution of the Main
Problem of the Lunar Theory", The Astronomical Journal, Vol.72
No. 10 (Dec 1967), pp.1299-1308. Also in "Abstracts, Conference on Celestial
Mechanics", Moscow (1967). 18-digit accuracy on an IBM 1620.
Eckert, W.J., T.C. Van Flandern, and G.A. Wilkins,
"A Note on the Evaluation of the Latitude of the Moon",
Monthly Notices of the Royal Astronomical
Society, Vol.146 (1969), pp.473-478.
Other...
Williams, S.R., and W.J. Eckert, Convenient Forms of Magnetometers,
J.O.S.A. & R.S.I. [Journal of the Optical Society of America], vol. 16,
issue 3, March 1928, pp. 203-207.
WAVES
Air Navigators, Aviation History (U.S. Navy WAVES were the
first American female military personnel whose duties were truly those of
regular aircrew members, and like all US World War II air navigators, they used
Eckert's Almanacs). Sorry, this page disappeared (c'est la Web) but there
is a brief
summary HERE,
for however long it lasts.
Leo Vernon,
"Tools
for Brains", Astounding Science Fiction, July 1939 (this is
not science fiction, but a survey of the state of the art of computing at
the time, and includes a short section on the Columbia Astronomical Bureau,
with some illustrations).