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Downloaded from Brill.Com09/24/2021 10:06:53AM Via Free Access 268 Revue De Synthèse : TOME 139 7E SÉRIE N° 3-4 (2018) Chercheur Pour IBM
REVUE DE SYNTHÈSE : TOME 139 7e SÉRIE N° 3-4 (2018) 267-288 brill.com/rds A Task that Exceeded the Technology: Early Applications of the Computer to the Lunar Three-body Problem Allan Olley* Abstract: The lunar Three-Body problem is a famously intractable problem of Newtonian mechanics. The demand for accurate predictions of lunar motion led to practical approximate solutions of great complexity, constituted by trigonometric series with hundreds of terms. Such considerations meant there was demand for high speed machine computation from astronomers during the earliest stages of computer development. One early innovator in this regard was Wallace J. Eckert, a Columbia University professor of astronomer and IBM researcher. His work illustrates some interesting features of the interaction between computers and astronomy. Keywords: history of astronomy – three body problem – history of computers – Wallace J. Eckert Une tâche excédant la technologie : l’utilisation de l’ordinateur dans le problème lunaire des trois corps Résumé : Le problème des trois corps appliqué à la lune est un problème classique de la mécanique newtonienne, connu pour être insoluble avec des méthodes exactes. La demande pour des prévisions précises du mouvement lunaire menait à des solutions d’approximation pratiques qui étaient d’une complexité considérable, avec des séries tri- gonométriques contenant des centaines de termes. Cela a très tôt poussé les astronomes à chercher des outils de calcul et ils ont été parmi les premiers à utiliser des calculatrices rapides, dès les débuts du développement des ordinateurs modernes. Un innovateur des ces années-là est Wallace J. Eckert, professeur d’astronomie à Columbia University et * Allan Olley, born in 1979, he obtained his PhD-degree from the Institute for the History and Philosophy of Science Technology (IHPST), University of Toronto in 2011. -
Wallace Eckert
Wallace Eckert Nakumbuka Dk Eckert aliniambia, "Siku moja, kila mtu atakuwa na kompyuta kwenye dawati lao." Macho yangu yalifunguka. Hiyo lazima iwe katika miaka mapema ya 1950’s. Aliona mapema. -Eleanor Krawitz Kolchin, mahojiano ya Huffington Post, Februari 2013. Picha: Karibu 1930, Jalada la Columbiana. Wallace John Eckert, 1902-1971. Pamoja na masomo ya kuhitimu huko Columbia, Chuo Kikuu cha Chicago, na Yale, alipokea Ph.D. kutoka Yale mnamo 1931 chini ya Profesa Ernest William Brown (1866-1938), ambaye alitumia kazi yake katika kuendeleza nadharia ya mwongozo wa mwezi. Maarufu zaidi kwa mahesabu ya mzunguko wa mwezi ambayo yaliongoza misheni ya Apollo kwenda kwa mwezi, Eckert alikuwa Profesa wa Sayansi ya Chuo Kikuu cha Columbia kutoka 1926 hadi 1970, mwanzilishi na Mkurugenzi wa Ofisi ya Taasisi ya Taaluma ya Thomas J. Watson katika Chuo Kikuu cha Columbia (1937-40), Mkurugenzi wa Ofisi ya Amerika ya US Naval Observatory Nautical Almanac (1940-45), na mwanzilishi na Mkurugenzi wa Maabara ya Sayansi ya Watson ya Sayansi katika Chuo Kikuu cha Columbia (1945-1966). Kwanza kabisa, na daima ni mtaalam wa nyota, Eckert aliendesha na mara nyingi alisimamia ujenzi wa mashine za kompyuta zenye nguvu kusuluhisha shida katika mechanics ya mbinguni, haswa ili kuhakikisha, kupanua, na kuboresha nadharia ya Brown. Alikuwa mmoja wa kwanza kutumia mashine za kadi za kuchomwa kwa suluhisho la shida tata za kisayansi. Labda kwa maana zaidi, alikuwa wa kwanza kusasisha mchakato wakati, mnamo 1933-34, aliunganisha mahesabu na kompyuta za IBM kadhaa na mzunguko wa vifaa na vifaa vya muundo wake ili kusuluhisha usawa wa aina, njia ambazo baadaye zilibadilishwa na kupanuliwa kwa IBM ya "Aberdeen "Calculator inayoweza kupatikana ya Udhibiti wa Mpangilio, Punch Kuhesabu elektroniki, Calculator ya Kadi iliyopangwa, na SSEC. -
Dirk Brouwer
NATIONAL ACADEMY OF SCIENCES D I R K B R O U W ER 1902—1966 A Biographical Memoir by G . M . C LEMENCE Any opinions expressed in this memoir are those of the author(s) and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoir COPYRIGHT 1970 NATIONAL ACADEMY OF SCIENCES WASHINGTON D.C. DIRK BROUWER September 1, 1902-January 31, 1966 BY G. M. CLEMENCE IRK BROUWER, who contributed more to dynamical astron- D omy than any other astronomer of his time, died on January 31, 1966, after a week in hospital; his death was occa- sioned by an acute disorder of the heart. He is survived by his widow and an only son, James. Brouwer was born in Rotterdam, the Netherlands, on September 1, 1902, the son of a civil service employee. As a stu- dent in the University of Leiden he studied mathematics and astronomy, coming under the influence of Willem de Sitter, who in his own day was the dean of that branch of astronomy in which Brouwer was to do most of his work. Receiving the Ph.D. degree in 1927 under de Sitter, Brouwer came to the United States as a fellow of the International Education Board, spending a year at the University of California in Berkeley and at Yale University, where he was to remain the rest of his life. His initial appointment at Yale was in 1928 as research as- sistant to Ernest W. Brown, who was then the greatest living authority on the motion of the moon. -
Moon-Earth-Sun: the Oldest Three-Body Problem
Moon-Earth-Sun: The oldest three-body problem Martin C. Gutzwiller IBM Research Center, Yorktown Heights, New York 10598 The daily motion of the Moon through the sky has many unusual features that a careful observer can discover without the help of instruments. The three different frequencies for the three degrees of freedom have been known very accurately for 3000 years, and the geometric explanation of the Greek astronomers was basically correct. Whereas Kepler’s laws are sufficient for describing the motion of the planets around the Sun, even the most obvious facts about the lunar motion cannot be understood without the gravitational attraction of both the Earth and the Sun. Newton discussed this problem at great length, and with mixed success; it was the only testing ground for his Universal Gravitation. This background for today’s many-body theory is discussed in some detail because all the guiding principles for our understanding can be traced to the earliest developments of astronomy. They are the oldest results of scientific inquiry, and they were the first ones to be confirmed by the great physicist-mathematicians of the 18th century. By a variety of methods, Laplace was able to claim complete agreement of celestial mechanics with the astronomical observations. Lagrange initiated a new trend wherein the mathematical problems of mechanics could all be solved by the same uniform process; canonical transformations eventually won the field. They were used for the first time on a large scale by Delaunay to find the ultimate solution of the lunar problem by perturbing the solution of the two-body Earth-Moon problem. -
Council Congratulates Exxon Education Foundation
from.qxp 4/27/98 3:17 PM Page 1315 From the AMS ics. The Exxon Education Foundation funds programs in mathematics education, elementary and secondary school improvement, undergraduate general education, and un- dergraduate developmental education. —Timothy Goggins, AMS Development Officer AMS Task Force Receives Two Grants The AMS recently received two new grants in support of its Task Force on Excellence in Mathematical Scholarship. The Task Force is carrying out a program of focus groups, site visits, and information gathering aimed at developing (left to right) Edward Ahnert, president of the Exxon ways for mathematical sciences departments in doctoral Education Foundation, AMS President Cathleen institutions to work more effectively. With an initial grant Morawetz, and Robert Witte, senior program officer for of $50,000 from the Exxon Education Foundation, the Task Exxon. Force began its work by organizing a number of focus groups. The AMS has now received a second grant of Council Congratulates Exxon $50,000 from the Exxon Education Foundation, as well as a grant of $165,000 from the National Science Foundation. Education Foundation For further information about the work of the Task Force, see “Building Excellence in Doctoral Mathematics De- At the Summer Mathfest in Burlington in August, the AMS partments”, Notices, November/December 1995, pages Council passed a resolution congratulating the Exxon Ed- 1170–1171. ucation Foundation on its fortieth anniversary. AMS Pres- ident Cathleen Morawetz presented the resolution during —Timothy Goggins, AMS Development Officer the awards banquet to Edward Ahnert, president of the Exxon Education Foundation, and to Robert Witte, senior program officer with Exxon. -
A Task That Exceeded the Technology: Early Applications of the Computer to the Lunar Three-Body Problem *
A task that exceeded the technology: early applications of the computer to the lunar three-body problem * Allan Olley Abstract: The lunar Three-Body problem is a famously intractable aspect of Newto- nian mechanics. The demand for accurate predictions of lunar motion led to practical ap- proximate solutions of great complexity, constituted by trigonometric series with hundreds of terms. Such considerations meant there was demand for high speed machine computation from astronomers during the earliest stages of computer development. One early innovator in this regard was Wallace J. Eckert, a Columbia University professor of astronomer and IBM researcher. His work illustrates some interesting features of the interaction between computers and astronomy. Keywords: history of astronomy, three body problem, history of computers, W. J. Eckert *This is the submitted (ie unreviewed) version of this article, which appears in its official version at Revue de Synth`ese, Vol. 139, iss. 3-4, pp. 267-288 DOI: 10.1163/19552343-13900014 . Allan Olley, born in 1979, is an independent scholar, whose research focuses on the history of computers and celestial mechanics. ([email protected]) 1 The three body problem in astronomy consists of finding a general expression for the trajectory of three celestial bodies in mutual gravitational attraction. Unlike the two body problem that admits of a ready solution, the three body problem is famously intractable with no definitive solution for the general case and this has made it the focus of a great deal of intellectual effort. The first manifestation of these difficulties was Newton's attempts to use his theory of gravity to derive adequate predictions of the motion of the Moon. -
Pre-Med-Law Dance Slated Monday
SOPHOMORE EDITION STUDENT WEEKLY PUBLICATION RICE INSTITUTE VOL. 16 HOUSTON, TEXAS, FRIDAY. APRIL 17, 1931 NO. 27 PHI BETA KAPPA TOUOLD BANQUET Political Cannons Open Fire » * * » * * + Hi # * '.it i|: * -t- :ti IK * * * * * * * * * * * >i' 'H * « * lit * sT sir * sfi * >|t NEXT WEDNESDAY PETITIONS OF TEN Election of New Senate and PRE-MED-LAW DANCE SLATED MONDAY MORE STUDENTS ARE Governors' Board Scheduled RECEIVED IN R A C E WILEY GEORGE AS THE THRESHER SEES IT FRED GARDNER WILL T11P B411BT „„ r.„ 'itiitmuiii iiimuiiuti THE BALL0T so FAR: Election of a new Senate and a The Thresher has been questioned as to what policy it will have in PLAY FOR AFFAIR AT Between 600 and 700 Votes complete board of governors will be regard to the forthcoming spring elections. It is stated: i DIVED AAITC C| AAD held Wednesday, April 22, at 0 p.m. in For President of the Student Asso- Expected at Election The Thresher will support NO individual candidate. Being a AlvJuIY UfmlYu aLUUll ciation: Jack Scott, Packard Barton, the Faculty Chamber by the Rice Beta On May 4 newspaper of all the students, and not for any particular student, _rt- Reuben Albaugh. chapter of Phi Beta Kappa, it was an- For Vice President of the Student The Thresher feels it would be decidedly unfair to favor one student I Stiffness To Be Taboo at iipO >00 -vutvs Vx- nounced Friday. against another, when each student should have the right of equa ' Association: Helen Forester, Carmen A banquet for all members of Phi Last Big Dance of Season Lewis, Mary Hutton, Marian Mo)linger, pWlcd ti>. -
The Los Alamos Computing Facility During the Manhattan Project
Submitted to ANS/NT (2021). LA-UR-21-20164 (Draft) February 17, 2021 The Los Alamos Computing Facility during the Manhattan Project B.J. Archer1 Los Alamos National Laboratory Los Alamos, New Mexico 87545 Abstract: This article describes the history of the computing facility at Los Alamos during the Manhattan Project, 1944 to 1946. The hand computations are briefly discussed, but the focus is on the IBM Punch Card Accounting Machines (PCAM). During WWII the Los Alamos facility was one of most advanced PCAM facilities both in the machines and in the problems being solved. Keywords: PCAM; Los Alamos; computing; punch cards I. INTRODUCTION Prior to World War II (WWII) there were three types of scientific computing machines. The most common were the desk calculators used by human computers to manually solve equations, see Figure 1. There were also a handful of analog differential analyzers. The most advanced differential analyzers were developed by Vannevar Bush at MIT during the late l930's and early 1940's.1 These mechanical systems could solve second-order differential equations.1 The third computing method was to adapt punch card machines to solve scientific equations.1 In 1928 Leslie Comrie at His Majesty's Nautical Almanac adapted punch card machines to calculate tide tables based on the orbit of the moon. In 1937 Wallace Eckert persuaded International Business Machines (IBM) to support the Watson Astronomical Computing Bureau at Columbia University in New York with IBM Punch Card Accounting Machines (PCAM). The Astronomical Bureau was dedicated to calculating celestial orbits. Eckert published a book on scientific punch card computing in 1940, “Punched Card Methods in Scientific Computing" that had wide influence.1, 2 In 1940 Eckert moved to the US Naval Observatory where he established a PCAM facility to calculate star navigation tables for aircraft and ships. -
Sha Autumn Conference Success
Society for the History of Astronomy Volume 11, no.4, November 2019 Editor: David Sellers SHA AUTUMN CONFERENCE SUCCESS Marking the 50th Anniversary of the Apollo 11 Moon Moon from prehistoric cave paintings right up to the landing, all the presentations at the Autumn Confer- age of space exploration. They also signed copies of ence of the SHA on 26 October 2019 had a lunar their book on the same subject. theme. Nevertheless, the variety of subjects touched After lunch Prof. Bill Leatherbarrow delivered an in- upon was surprisingly wide and was thoroughly en- triguing presentation on Patrick Moore & Our Vol- joyed by all. canic Moon: a look at the ultimately mistaken ideas of The day commenced with a brief Annual General the iconic astronomy populariser about the origin of Meeting, during which Bill Barton was presented with lunar craters and other features. Woven into the story the Roger Jones Award, for his frequent contributions was a lucid account of the compelling evidence for the to the SHA Survey, and Carolyn Bedwell was pre- now-accepted impact theory. sented with the Peter Hingley Award for her assiduous Dr Louise Devoy and Dr Melanie Vandenbrouck voluntary work in the Library of the SHA. (both curators at the National Maritime Museum) gave The first speaker of the Conference was Dr Heather us The Moon as muse: the ideas and inspiration be- Sebire (English Heritage) who delivered a fascinating hind The Moon exhibition, Royal Museums Greenwich. talk on Stonehenge, archaeoastronomy and the Moon, This is the UK’s biggest exhibition dedicated to covering the origin and alignments of this UNESCO Earth’s celestial neighbour and charts the cultural and World Heritage Site as well as the history of ideas scientific story of our relationship with the Moon. -
What Were They Thinking?! a Snapshot of Life in 1915 Deanna Haunsperger and Pamela Richardson
What were They Thinking?! A Snapshot of Life in 1915 Deanna Haunsperger and Pamela Richardson 1. Mathematicians Alice T Schafer (one of the founders of the Association for Women in Mathematics), Richard Hamming (whose contriButions include the Hamming code), G. S. Young, Jr. (33rd President of the MAA), Ian Niven (40th President of the MAA), and Lee Lorch (who also was an early civil rights activist) were Born, and Dorothy Lewis Bernstein (38th and first woman President of the MAA) turned one. 2. Three hundred thirty-six new words appear in the Oxford English Dictionary, including “Bullshit,” “cushy,” “human resources,” “narcissistic,” and “wino.” 3. Claude Debussy composed his notoriously difficult piano Études. 4. College enrollments topped 350,000 in the US (up from 150,000 in 1890). 5. Other notaBle Births that year included jazz singer Billie Holiday; actor and director Orson Welles; guitarist, songwriter, and inventor Les Paul; actress Ingrid Bergman; playwright and essayist Arthur Miller; and singer and actor Frank Sinatra. 6. Harvard’s annual tuition was $160. 7. San Francisco was home to the Panama Pacific International Exposition, a world’s fair held to celebrate the completion of the Panama Canal. 8. Most university mathematics faculty did not hold PhDs in mathematics. 9. Everyone’s Erdös numBer was infinite (Paul Erdös was 2). 10. Master illusionist known for his sensational escape acts, Harry Houdini nearly died while trying to perform his buried alive stunt in which he was buried, without a casket, in a pit of earth six feet deep. 11. Twenty-eight PhDs in mathematics were awarded from ten US universities, led By Chicago with eleven and Harvard with five. -
Just a Beginning: Computers and Celestial Mechanics in the Work of Wallace J
Just a Beginning: Computers and Celestial Mechanics in the work of Wallace J. Eckert by Allan Olley A thesis submitted in conformity with the requirements for the degree of Doctor of Philosophy Graduate Department of Institute for History and Philosophy of Science University of Toronto Copyright © 2011 by Allan Olley Abstract Just a Beginning: Computers and Celestial Mechanics in the work of Wallace J. Eckert Allan Olley Doctor of Philosophy Graduate Department of Institute for History and Philosophy of Science University of Toronto 2011 This thesis details and analyzes the interaction between computers and science in a particular case. The case is the career of Wallace J. Eckert (1902-1971). Eckert was a professor of astronomy at Columbia University and scientific researcher for IBM. He has received some attention in the history of computing for his significant work in machine computation in the 1930s and 1940s and was the foremost expert on lunar theory for much of his life. First the existing secondary literature on the subject is discussed. Eckert's work has rarely been the focus of sustained historical scrutiny, but the question of the relation of science and the computer has received more scholarship in the history, philosophy and sociology of science. The main narrative of the thesis begins with the history of the various mathematical techniques and external aids to computation used over the course of the history of celestial mechanics. Having set the context, Eckert's early life and career is detailed up until 1945. Here, before the modern computer as such was developed, Eckert innovated by adapting IBM punched card machines to astronomical applications. -
Leslie John Comrie
Leslie John Comrie Born August 15, 1893, Pukekohe, New Zealand; died December 11, 1950, London, England; developer in 1930 of mathematical tables for the British Nautical Almanac Office using punched-card bookkeeping machines and who, in that decade, established the first commercial calculating service in Great Britain.1 Education: BA, chemistry, University College, Auckland, New Zealand, 1915; MA, chemistry, University College, Auckland, New Zealand, 1916. Professional Experience: assistant professor, mathematics and astronomy, Swarthmore College, Swarthmore, Pa., 1923-1924; assistant professor, astronomy, Northwestern University, Evanston, Ill., 1924-1925; deputy director, Nautical Almanac Office, 1925-1931, superintendent, 1931-1936; founder and director, Scientific Computing Service, 1936-1950. Leslie Comrie had begun his professional life as a chemist in Pukekohe and Auckland, New Zealand, when World War I broke out, during which he served in France in the New Zealand Expeditionary Force. He was invalided out of the force, having lost a leg; he turned to a past interest in astronomy, and became a research student at St. John's College, Cambridge, in 1918 with a University Expeditionary Force scholarship. While there he developed a means for the application of new computational techniques to the problems of spherical astronomy, which he carried forward into his later appointment as the deputy superintendent of the Nautical Almanac, for the British Navy (the Admiralty) in London. Later as superintendent he modified the almost one- hundred-year-old Almanac and introduced the concept of a standard equinox” (Comrie 1926 and 1929). He left the Admiralty in 1934 to found the Scientific Computing Service, where he was able to better apply his ideas of mechanical computation for the preparation of mathematical tables.