When Computers Were Human (59 page)

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Authors: David Alan Grier

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The ephemerides for the 1986 return, the fourth return since the death of Edmund Halley, were the first prepared in the United States. They were done at the Jet Propulsion Laboratory, an American research center that had flourished during the space race of the 1960s. The laboratory designed unmanned spacecraft and managed scientific space missions. It occupied a patch of flat land next to a Los Angeles freeway and resembled a bland contemporary office building. Like an observatory or an almanac office, the laboratory had a large central room, but this room was filled with displays and control panels rather than with telescopes or human computers. From this room, laboratory scientists controlled spacecraft in orbit around the earth, sitting on the face of the moon, and speeding across the solar system toward the planet Mars.

The calculations for the fourth return were prepared in a back office of the Jet Propulsion Laboratory by a young researcher named Donald Yeomans. Yeomans was a new addition to the laboratory and had recently finished a doctorate in astronomy. He prepared a mathematical model of the comet's orbit that combined the methods of Andrew Crommelin with an analysis of outgassing. Instead of preparing a computing plan, Yeomans created a computer program, a list of instructions for an electronic computer. The program was written in a language called FORTRAN IV, which was then popular among scientists and engineers. Programming was more exacting than planning, as electronic computers were less forgiving than their human counterparts. Unlike a good human computer, who could correct errors on computing sheets, an electronic computer would follow the instructions blindly, executing each operation even if the action made no sense.

Yeomans submitted his program to a central computer at the laboratory, a UNIVAC 1108. In the years that followed the Second World War, the name “UNIVAC” had been nearly synonymous with the term “electronic digital computer.” The moniker had been invented by J. Presper Eckert and John Mauchly, the designers of the original ENIAC machine, as the name for their first commercial computer.
2
Eckert and Mauchly had stopped designing computers in 1958, but the name UNIVAC survived as the brand name for machines sold by the Sperry Rand Corporation.
3
The UNIVAC 1108 was considerably faster than a room of human computers, but it was shared by the entire staff of the Jet Propulsion Laboratory. “We were lucky to get one run per day,” Yeomans recalled. “I had to come in nights and weekends to get the necessary turn around time.”
4

Yeomans needed repeated calculations in order to remove the 1910 discrepancy. He computed old orbits of the comet, including those that ended
in 1682, 1758, and 1835. He compared his predictions of those early returns with the actual observations, adjusted the values in his mathematical model, and repeated the process. He finished the computation in 1977, reported that the next perihelion of Halley's comet should occur on February 9, 1986, at 15:50 (Universal time), and claimed that his result was accurate to within six hours.
5
He revised his prediction in 1982, after an earthbound telescope caught the first images of the comet. The actual perihelion occurred at 10:48, five hours and two minutes before Yeomans's original prediction.
6

46. Comet Halley, 1986, from Giotto Spacecraft

Even though the fourth anticipated return of Comet Halley had been well publicized, the event quickly lost its hold upon the public consciousness in the spring of 1986. The comet had skimmed low in the skies of the Northern Hemisphere and had not presented a dramatic picture to most observers. The professional astronomers clung to Halley's comet for only a little longer. They had observations to compare, theories to analyze, papers to write. During the next few years, they demonstrated how well modern astronomers could compute the paths of these irregular visitors.
In 1994, they followed the frightening Levy-Shoemaker comet, which slammed into Jupiter and thereby demonstrated the role that the outer planets have played in protecting the Earth. Three years later, astronomers computed the orbit of the stunning Hale-Bopp comet, which had a nucleus several orders of magnitude bigger than the core of Halley's comet and left a tail that stretched across the night sky.

As the astronomers put Halley's comet behind them, the scientists at the Jet Propulsion Laboratory discarded their old tools of computation. They removed the central UNIVAC 1108 and placed a small computer on the desk of each researcher. FORTRAN IV was replaced by more sophisticated languages and was eventually succeeded by programs for symbolic mathematics. These programs could handle many of the tasks that had once been undertaken by the mathematicians on planning committees, such as the manipulation of mathematical expressions, the operations of algebra, and even the solution of many problems in calculus. Not only could they calculate numerical answers, they could help a scientist derive a concise mathematical theory of a physical phenomenon. Had the comet reached its perihelion in 1996 instead of 1986, it would have been predicted by a much more refined computing process. “If I had access to the more sophisticated algorithms and code that we now employ on [electronic computers],” wrote Yeomans, “[then my] Halley prediction would have been even more accurate than the realized [value].”
7

The scientists who convene every seventy-five years to compute the perihelion of Halley's comet have had trouble looking both forward and backward. They might project the next perihelion with some improvement in accuracy, but having computed the signs of the skies, they generally fail to foresee the signs of the times. Edmund Halley, who struggled to produce even a crude estimate of the first return of his comet, did not anticipate either the work of Clairaut, Lepaute, and Lalande or de Prony's radical division of labor or the factory system of computation. By contrast, Charles Babbage overestimated the demand for computation. Alone among those who witnessed the 1835 return, Babbage understood the nature and potential of computing machinery. He would have been surprised to learn that one century later, the largest computing organization was a work relief project that resembled an office of the 1790s. Andrew Crommelin, L. J. Comrie, and the others who saw the 1910 return had grand visions for computation, but they would not have appreciated that the computing machine would replace the mathematical table and that all their labor to correct table entries would eventually be forgotten.

In a like manner, the scientists have freely taken of the historical data and old computations, but they overlooked the people who handled the calculations: Nicole-Reine Étable de la Brière Lepaute of the Palais Luxembourg, George Airy's boy computers at the Greenwich Observatory, Oswald
Veblen's staff at Aberdeen, the WPA workers of Gertrude Blanch, and even the table makers of the
Handbook of Mathematical Functions
. It seems likely that the scientists of the 2061 return of Halley's comet will shrink Yeomans's discrepancy to a few seconds, as they will have detailed observations of the comet through its entire orbit and computing tools beyond what we can now imagine.
8
It seems equally likely that those same scientists will know little of the daily lives of the computational workers who are so common in our age, the computer programmers, the network managers, and the Web designers. The generation of 2061 may be surprised when an elder of our time explains that she once worked with electronic computers, that she took pride in her skill, that she had been pleased to be part of a scientific endeavor, and that she had once opened a book and studied a subject called calculus.

Acknowledgments

A
NYONE WHO
has cherished the notion of personal authorship is always surprised to discover how many people are needed to write a book. I have a long list of people who graciously contributed their time, their expertise, and their interest to this project. I owe them much.

One cannot be too grateful for librarians, for it is upon their sturdy shoulders that any research is built. I particularly wish to express my thanks to Greg Shelton of the Naval Observatory Melvin Gillis Library, who has been ready at a moment's notice to find information for this book, but he shares this honor with many a good librarian and archivist, especially Marjorie Charliante, Ed Creech, Ann Commings, Mitchel Yokelson, and Shawn Aubitz of the National Archives and Records Administration, all of whom were incredibly patient with me as I struggled through federal records. I also need to thank Becky Jordan, Iowa State University Libraries; Alison Osborn, Smithsonian Institution Archives Center; Kevin Corbitt, Charles Babbage Institute, University of Minnesota; Kate Perry, Girton College Archives; Jane Knowles, Schlesinger Library, Harvard University; Janice Goldblum, National Academy of Sciences–National Research Council; Sheldon Hochheiser, ATT Corporate Archives; Andrea P. Mark Telli and Teresa Yoder, Chicago Public Library, Harold Washington Library Center; Elaine Engst, Cornell University; Jan Hermann, Naval Surgery Headquarters; Martha Mitchell, John Hay Library of Brown University; Brenda Corbin and Steven Dick, Naval Observatory Melvin Gillis Library; Elizabeth Harter and Ericka Gorder, New York University; George Washington University's Gelman Library; Donald Glassman, Barnard College Archives; Annie Accary, Paris Observatory; Bonnie Ludt, California Institute of Technology; Amey Hutchins, University of Pennsylvania Archives; Hollee Haswell, Low Library, Columbia University; Tony Lawless and Julie Archer-Gosnay, University College London; Shulamith Berger, Yeshiva University; Peter Hingley, Royal Astronomical Society; Karma Beal, National Institute of Standards and Technology Library; Ellen Alers, Smithsonian Archives; Dennis Bitterlich, University of California at Los Angeles Archives; Jessy Randall, Colorado College Library; Mark Renovitch, Franklin Roosevelt Presidential Library; Kevin Leonard, Northwestern University; G. David Anderson, George Washington University Archives; Paul Lascewicz, IBM Archives; Anne Frantilla and Nancy Barlett, Bentley Library, University of Michigan; Thomas Malefatto, Indiana University; Keir Sterling, U.S. Army; Carole Prietto, Washington University Archives; as well as librarians
from the Library of Congress Manuscript Division, National Agricultural Library, National Oceanic and Atmospheric Administration Library, Naval Historical Center, U.S. Army Historical Center, Findley University Library, University of Chicago Archives, University of Iowa Archives, Dudley Observatory Archives, Federal Bureau of Investigation Freedom of Information Act Office, and the British Library.

I have been aided by an extraordinary group of research assistants, friends, and colleagues who have helped me with library work or specific details in the book, including Mark Brown, Elizabeth Gonser, Sarah Hillinsky, Johanna Osborne, Karie Orin, Erin Voelger, and Jonathan Wye. Emily Danyluk helped prepare the final manuscript and index. I am especially grateful to Jim Burks and David and Donald Sterrett, who bolstered my humble French skills. Three university registrars have given me key information that has shaped this book: Ed Loyer and Toni Kessler of the University of Michigan and Brian Selinsky of George Washington University.

Parts of the manuscript have been read by a number of friends who have added their comments and advice, including Jean Grier, Peter Grier (
il miglior fabbro
), Mary Croarken, Michael Olinick, Jim Burks, Peggy Kidwell, John Todd, Marcus Raskin, Tim Bergin, and Liz Harter. I am especially grateful for the careful reading and suggestions of Ted Porter. For their kindness, sharp eyes, and insightful suggestions, I absolve them of any responsibility for such errors as remain in the manuscript. I have also had guidance from a number of colleagues who have shared their thoughts on this project, including Horace Judson, Freeman Dyson, Susan Strasser, Anne Fitzpatrick, Bill Aspray, Martin Campbell-Kelly, Paul Ceruzzi, Jennifer Light, James Cortada, Tara Wallace, Ed McCord, Michael Moses, Steve Dick, Ian Bartky, Ruth Wallace, Chris Sterling, Ed Berkowitz, Howard Gillette, and Barney Mergan.

Appendix: Recurring Characters, Institutions, and Concepts

T
HIS BOOK
contains a large number of characters, many of whom disappear after their initial introduction and return several chapters later in the narrative. This section is meant to be a guide to the most important recurring people, institutions, and concepts. It gives a brief description of key items; a more complete list of characters is found in the index.

A
BERDEEN
P
ROVING
G
ROUND

U.S. Army testing site for artillery, opened in 1918 with Princeton mathematician Oswald Veblen on staff

A
BRAMOWITZ
, M
ILTON
(1913–1958)

Planning committee member of Mathematical Tables Project, editor of
Handbook of Mathematical Functions

A
DMIRALTY
C
OMPUTING
S
ERVICE

English computing organization of the Second World War led by John Todd

A
IKEN
, H
OWARD
(1900–1973)

Harvard graduate student and designer of MARK I mechanical computing device

A
IRY
, G
EORGE
B
IDDLE
(1801–1892)

English Astronomer Royal, reorganized Greenwich Observatory computers with principles of factory production

A
LEMBERT
, J
EAN
L
E
R
OND D
' (1717–1783)

French mathematician and critic of calculations for first return of Halley's comet

A
PPLIED
M
ATHEMATICS
P
ANEL

Division of Office of Scientific Research and Development concerned with mathematical research, led by Warren Weaver and headquartered in New York City

A
RCHIBALD
, R
AYMOND
C
LAIRE
(1875–1955)

Editor of the journal
Mathematical Tables and Other Aids to Computation

A
TANASOFF
, J
OHN
V
INCENT
(1903–1995)

Iowa State College physics professor, designed small computer to solve simultaneous equations problems

B
ABBAGE
, C
HARLES
(1791–1871)

British mathematician and designer of computing machine called difference engine

B
ELL
T
ELEPHONE
L
ABORATORIES

American industrial research laboratory founded in 1925, supported computing groups and developed early electromechanical computer

B
ENNETT
, A. A. (1888–1971)

Brown University mathematician, member of Aberdeen Proving Ground staff in First World War, chair of the Subcommittee on the Bibliography of Mathematical Tables and Other Aids to Computation

B
IOMETRICS
L
ABORATORY
;
see
G
ALTON
L
ABORATORY

B
LANCH
, G
ERTRUDE
(1896–1996)

Mathematical leader of Mathematical Tables Project

B
RITISH
A
SSOCIATION FOR THE
A
DVANCEMENT OF
S
CIENCE
, M
ATHEMATICAL
T
ABLES
C
OMMITTEE

Committee of scientists who computed tables of higher mathematical functions

B
RUNSVIGA

Mechanical calculator that was a favorite of Karl Pearson and the British statistical community

B
UREAU DU
C
ADASTRE

French survey organization, led by Gaspard de Prony, that computed decimal trigonometry tables during the French Revolution

B
URROUGHS
, W
ILLIAM
S
EWARD
(1855–1898)

Early successful American adding machine manufacturer; machines later adapted as difference engines

B
USH
, V
ANNEVAR
(1890–1974)

MIT engineer, directed American scientific effort during Second World War

C
AVE
-B
ROWNE
-C
AVE
, F
RANCES
(1876–1965)

Mathematics professor at Girton College, Cambridge, U.K., did calculations for Karl Pearson

C
LAIRAUT
, A
LEXIS
-C
LAUDE
(1713–1765)

French mathematician, computed perihelion of Halley's comet at first return in 1758

C
OAST
(
AND
G
EODETIC
) S
URVEY

First U.S. government scientific organization, maintained staff of computers to do survey and longitude calculations

C
OLUMBIA
A
STRONOMICAL
C
OMPUTING
B
UREAU
;
see
T
HOMAS
J. W
ATSON
A
STRONOMICAL
C
OMPUTING
B
UREAU

C
OMRIE
, L
ESLIE
J
OHN
(1893–1950)

Director of British Nautical Almanac and founder of Scientific Computing Service, key expert on methods of scientific computation

C
OWLES
, A
LFRED
H. (1891–1984)

Industrialist and financier, founded Cowles Commission for Economic Research

C
OWLES
C
OMMISSION FOR
E
CONOMIC
R
ESEARCH

Organization founded in Colorado Springs (now at Yale) that maintained a computing staff to compile and analyze economic data

C
ROMMELIN
, A
NDREW
C
LAUDE DE LA
C
HEROIS
(1865–1939)

English astronomer, computed perihelion of 1910 return of Halley's comet, developed general means of solving differential equations

C
ROWELL
, P
HILLIP
(1879–1949)

Astronomer who worked with Crommelin (
see above
)

D
AVIS
, C
HARLES
H
ENRY
(1807–1877)

Officer, U.S. Navy, founder and first director of American Nautical Almanac

D
AVIS
, H
AROLD
T
HAYER
(1892–1974)

American mathematician and creator of encyclopedia of mathematical functions, worked with Cowles Commission and Subcommittee on the Bibliography of Mathematical Tables and Other Aids to Computation; no known relation to Charles Henry Davis

DE
C
OLMAR
, C
HARLES
X
AVIER
T
HOMAS
(1785–1870)

Inventor of first commercially successful adding machine

DE
P
RONY
, G
ASPARD
C
LAIR
F
RANÇOIS
M
ARIE
R
ICHE
(1755–1839)

Leader of Bureau du Cadastre computing effort, created decimal trigonometry tables for French Metric Commission

D
IFFERENCE
E
NGINE

Mechanical calculator that could interpolate functions, invented as special device by Charles Babbage but later adapted from commercial machines

D
IFFERENTIAL
A
NALYZER

Electromechanical machine that could solve differential equations (
see below
), found at MIT and Aberdeen Proving Ground

D
IFFERENTIAL
E
QUATIONS

Equations that describe physical motion; they generally express relationships among the position of an object, the direction of its motion, and its speed; can be solved by a Differential Analyzer (
see above
)

D
OOLITTLE
, M
YRRICK
(1830–1913)

Computer for Coast Survey, developed method for solving least squares and simultaneous equation problems

E
CKERT
, J. P
RESPER
(1919–1995)

Designer of ENIAC at University of Pennsylvania; no known relation to W. J. Eckert, below.

E
CKERT
, W
ALLACE
J. (1902–1971)

Leader of punched card computing group at Columbia University and director of U.S. Nautical Almanac.

ENIAC

Electronic computing machine developed at University of Pennsylvania, often identified as precursor of modern computer

F
ROELICH
, C
LARA
(
B
. 1892)

Computer at Bell Telephone Laboratories

F
RY
, T
HORNTON
(1892–1991)

Mathematician at Bell Telephone Laboratories

G
ALTON
L
ABORATORY

Statistical laboratory of Karl Pearson at University College London, employed substantial computing staff

G
LOVER
, J
AMES
W. (1868–1941)

Actuary, mathematician, and educator of female computers at University of Michigan

G
OLDSTINE
, A
DELE
(1920–1964)

Senior Computer, University of Pennsylvania

G
REENWICH
O
BSERVATORY

Royal Observatory of England, maintained a staff of human computers for almost 200 years

H
ALLEY
, E
DMUND
(1656–1742)

English astronomer, friend of Isaac Newton, identified Halley's comet as a returning comet, recognized that comet orbit calculations were difficult

H
ALLEY
'
S
C
OMET
(1758, 1835, 1910, 1986)

First major project for human computers because of the difficulties of tracking three or more bodies in space

I
OWA
S
TATE
S
TATISTICAL
L
AB

Statistical laboratory run by George Snedecor that employed large computing staff, associated with Henry Wallace

L
ALANDE
, J
OSEPH
-J
ÉRÔME
L
E
F
RAN
Ç
AIS DE
(1732–1807)

French Astronomer Royal who worked on first calculation of Halley's comet

L
ANCZOS
, C
ORNELIUS
(1893–1974)

Hungarian mathematician who worked with Mathematical Tables Project

L
EAST
S
QUARES

Method of estimating orbits, statistical quantities, and other numbers by minimizing the squared distance between data (such as astronomical observations) and the final solution; important least squares technique developed by Myrrick Doolittle

L
EPAUTE
, N
ICOLE
-R
EINE
É
TABLE DE LA
B
RI
È
RE
(1723–1788)

French scientist, worked on calculation of first return of Halley's comet

L
E
V
ERRIER
, U
RBAN
J
EAN
J
OSEPH
(1723–1788)

Discoverer of Neptune

LORAN

Long-range navigation, a form of radio navigation developed by the United States during the Second World War

L
OWAN
, A
RNOLD
(1898–1962)

Director of Mathematical Tables Project

L
UCASIAN
P
ROFESSORSHIP

Mathematical professorship at Cambridge University in England, held, at different times, by Newton, Babbage, and Airy

M
ANHATTAN
P
ROJECT

American atomic bomb effort in the Second World War

M
ASKELYNE
, N
EVIL
(1732–1811)

British Astronomer Royal, founded Nautical Almanac

M
ATHEMATICAL
T
ABLES AND
O
THER
A
IDS TO
C
OMPUTATION
C
OMMITTEE
/J
OURNAL

National Research Committee chaired by R. C. Archibald; journal published by the same committee

M
ATHEMATICAL
T
ABLES
C
OMMITTEE

Not Mathematical Tables Project;
see
B
RITISH
A
SSOCIATION FOR THE
A
DVANCEMENT OF
S
CIENCE

M
ATHEMATICAL
T
ABLES
P
ROJECT

WPA computing organization in New York City

M
ITCHELL
, M
ARIA
(1818–1889)

Early American computer and astronomer

M
ITCHELL
, W
ILLIAM
(1791–1869)

Amateur scientist and father of Maria Mitchell (
see above
)

M
ORSE
, P
HILIP
(1903–1985)

MIT engineer and supporter of Mathematical Tables Project

M
OULTON
, F
OREST
R
AY
(1872–1952)

A leader of First World War ballistics computer effort with Oswald Veblen

N
ATIONAL
B
UREAU OF
S
TANDARDS

American government research institute, sponsor of Mathematical Tables Project

N
ATIONAL
D
EFENSE
R
ESEARCH
C
OMMITTEE

Second World War committee for organizing scientific research, part of Office of Scientific Research and Development

N
ATIONAL
R
ESEARCH
C
OUNCIL

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