No.18 Spring 2019
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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. -
Cooley Family
Genealogical Works of Robert M Willis Volume II Cooley Family 1 COOLEY COMMUNIQUÉ Issued by THE COOLEY FAMILY ASSOCIATION OF AMERICA at: 39 Woodland Place, Fort Thomas, Kentucky -------------------------------------------------------------------------------------------------------------------------------- October 1968 Number 45 -------------------------------------------------------------------------------------------------------------------------------- Officers 1969-70 President Daniel P Cooley 6312 N W 36, PO Box 12362 OklaHoma City, OklaHoma 73112 Vice President Charles L Cooley 1170 Cornwall Ave, Waterloo, Iowa 50702 Secretary Mrs J Austin Beard 1614 Aliso Dr NE, Albuquerque, New Mexico 87110 Treasurer FranK E Cooley Jr 39 Woodland Place, Fort Thomas, Kentucky 41075 Genealogist Mrs Dewey G Force 1126 West FourtH Street Willmar, Minnesota 56210 -------------------------------------------------------------------------------------------------------------------------------- Editor ElizabetH M Cooley (Mrs FranK E Cooley, Jr) 39 Woodland Place, Fort Thomas, Kentucky 41075 -------------------------------------------------------------------------------------------------------------------------------- From the Pen of the Editor WitH tHis issue of tHe “Cooley Communiqué” we start tHe twelftH year of publication. Your contributions of newspaper and magazine articles and data relating to those of Cooley descent, have helped to make this all possible. Please continue to send in anything of interest. Don’t forget, the items also are placed in -
Calculated for the Use of the State Of
A'' jV'i'fV-'*; . ea-i:i)j;di:f!;;^"o::i^:^^ 317.3H3i H41 A ARCHfVrS REGISTER, AND UniWa States ®alrnJrat» 183g. CITY OFFICERS IN BOSTON, AND OTHER USEFUL INFORMATION. BOSTON PUBLISHED BY JAMES LORING, 132 Washington Street. : — — _ ECLIPSES IN 1833. There will be Jive Eclipses this year, two of the Son, and three of thet Moon, as follows, viz : I. The first will be of tlie Moon, January, 6th day, and visible as follows Beginning 2h. Om. \ Middle, or greatest obscuration 3 9 ( Appar. time End 4 20 ( mor. Duration 2 20 ) Digits eclipsed 5 deg. 43 min. on the Moon's northern limb. II. The second will be of the Sun, January, 20th day, 5h. 9m^ evening, invisible in the United States. III. The third will be of the Moon, July, Ist day, the latter part only visible. Moon rises eclipsed 7h. 39ra. ,.^^ {Appar.) .„ „ time Middle 7 55 ^^^"• End 9 33 S Digits eclipsed 10 deg. 18 min. on the Moon's southern limb.. IV. The fourth will be of the Sun, July, 17th day, 2h. 26m. morn- ing, invisible in the United States, but throughout Europe will b» visible. V. The fifth and last will be a total eclipse of the Moon, mostly- visible, December 26th, as follows, viz: Moon rises, (tota% ecKpsed,) 4h. 28m. | Middle 4 47 /.^^^k tj^o End of total darkness 5 36 ^PP^L V even. End of the eclipse.. 6 36 Whole visible duration 2 8 03^ The Compiler of the Register has endeavoured to be accurate in all the statements and laames which it contains ; but when the difficulties in such a compilation are considered, and the constant changes which are occur- ring, by new elections, deaths, &c. -
Date: April 28, 2011
A SCIENTIFIC APPROACH TO THOMAS PYNCHON’S MASON AND DIXON INTERACTIVE QUALIFYING PROJECT REPORT: SUBMITTED TO THE FACULTY OF THE WORCESTER POLYTECHNIC INSTITUTE IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF BACHELOR OF SCIENCE BY CHRISTOPHER HORGAN PHYSICS DATE: APRIL 28, 2011 Abstract This paper is an analysis of how a writer of fiction with a strong sense of social and moral values uses the scientific history of the 18th century to convey his ideals in an historical novel. Through a constant showcasing of both scientific and historical embellishments, Pynchon builds his argument against the surveying of right lines upon the Earth. These lines, he believes, serve only to separate a people and allow a government to have greater control over its divided citizens. 2 Table of Contents Abstract............................................................................................................................................................................................. 2 Table of Contents ........................................................................................................................................................................... 3 Table of Figures .............................................................................................................................................................................. 5 1 Introduction .......................................................................................................................................................................... -
Throughout the 18Th Century Oxford Was Central in the Development of Newtonian Philosophy. Edmond Halley, the Most Famous Englis
Throughout the 18th century Oxford was central in the development of Newtonian philosophy. Edmond Halley, the most famous English astronomer of his day, was Oxford’s Savilian Professor of Geometry. Thomas Hornsby, Sedleian Professor of Natural Philosophy, founded the Radcliffe Observatory. Oxford Mathematics from Halley to Hornsby Time-line 1656 Edmond Halley born in London 1673 Halley enters The Queen’s College, Oxford 1676–78 Halley’s expedition to map the skies of the southern hemisphere 1678 Oxford University grants Halley his MA degree by Royal Mandamus 1687 Publication of Isaac Newton’s Principia Mathematica 1704 Halley appointed Savilian Professor of Geometry 1705 Halley publishes his cometary researches 1710 Halley’s edition of Apollonius’s Conics 1717 James Stirling’s book on Isaac Newton’s classification of cubics 1720 Halley appointed Astronomer Royal 1721 James Bradley appointed Savilian Professor of Astronomy 1742 Halley dies in Greenwich and Nathaniel Bliss is appointed as his successor to the Savilian Chair 1763 Thomas Hornsby is appointed Savilian Professor of Astronomy 1764 Bliss dies and Joseph Betts is appointed as his successor 1766 Betts dies and John Smith is appointed as his successor 1782 Thomas Hornsby is appointed Sedleian Professor of Natural Philosophy 1797 Smith dies and Abraham Robertson is appointed as his successor The Radcliffe Observatory, built in the 1770s at the instigation of 1810 Hornsby dies and Robertson succeeds him as Savilian Professor Thomas Hornsby, was the first academic establishment in Europe of Astronomy to combine teaching and original research in astronomy. George Cooke succeeds Hornsby as Sedleian Professor of Natural Philosophy Oxford Mathematics from Halley to Hornsby Edmond Halley in Oxford In 1704 Edmond Halley succeeded John Wallis as Savilian Professor of Geometry and remained in post until his death in 1742. -
Deconstructing the Outsider Puzzle: the Legitimation Journey of Novelty
This article was downloaded by: [193.205.30.1] On: 28 December 2017, At: 06:55 Publisher: Institute for Operations Research and the Management Sciences (INFORMS) INFORMS is located in Maryland, USA Organization Science Publication details, including instructions for authors and subscription information: http://pubsonline.informs.org Deconstructing the Outsider Puzzle: The Legitimation Journey of Novelty Gino Cattani, Simone Ferriani, Andrea Lanza To cite this article: Gino Cattani, Simone Ferriani, Andrea Lanza (2017) Deconstructing the Outsider Puzzle: The Legitimation Journey of Novelty. Organization Science 28(6):965-992. https://doi.org/10.1287/orsc.2017.1161 Full terms and conditions of use: http://pubsonline.informs.org/page/terms-and-conditions This article may be used only for the purposes of research, teaching, and/or private study. Commercial use or systematic downloading (by robots or other automatic processes) is prohibited without explicit Publisher approval, unless otherwise noted. For more information, contact [email protected]. The Publisher does not warrant or guarantee the article’s accuracy, completeness, merchantability, fitness for a particular purpose, or non-infringement. Descriptions of, or references to, products or publications, or inclusion of an advertisement in this article, neither constitutes nor implies a guarantee, endorsement, or support of claims made of that product, publication, or service. Copyright © 2017, INFORMS Please scroll down for article—it is on subsequent pages INFORMS is the largest professional society in the world for professionals in the fields of operations research, management science, and analytics. For more information on INFORMS, its publications, membership, or meetings visit http://www.informs.org ORGANIZATION SCIENCE Vol. -
Maximilian Hell's Geomagnetic Observations in Norway 1769
Tromsø Geophysical Observatory Reports No. 2 Maximilian Hell’s geomagnetic observations in Norway 1769 Truls Lynne Hansen & Per Pippin Aspaas University of Tromsø, 2005 Cover illustration: Maximilian Hell’s map of his observing site Vardø with surroundings. From Ephemerides Astronomicae ad Meridianum Vindobonensem Anni 1791 (Hell 1790). Tromsø Geophysical Observatory Reports is a series intended as a medium for publishing documents that are not suited for publication in refereed journals, but that Tromsø Geophysical Observatory nevertheless wishes to make accessible to a wider readership than the local staff. The topics of the reports will be within, or at least related to, the disciplines of the Observatory: geomagnetism and upper atmosphere physics, the history of these included. The language will primarily be English. Tromsø Geophysical Observatory Reports No. 2 Maximilian Hell’s geomagnetic observations in Norway 1769 Truls Lynne Hansen Tromsø Geophysical Observatory, University of Tromsø & Per Pippin Aspaas Department of History, University of Tromsø Europas Mathematiker haben seit Kepplers und Newtons Zeiten sämmtlich die Augen gen Himmel gekehrt, um die Planeten in ihren feinsten Bewegungen und gegenseitigen Störungen zu verfolgen; es wäre zu wünschen, dass sie jetzt eine Zeitlang den Blick hinab in den Mittelpunkt der Erde senken möchten, denn auch allda sind Merkwürdigkeiten zu schauen. Es spricht die Erde mittelst der stummen Sprache der Magnetnadel die Bewegungen in ihrem Innern aus, und verstünden wir des Polarlichtes Flammenschrift recht zu deuten, so würde sie für uns nicht weniger lehrreich seyn. Christopher Hansteen 1819 University of Tromsø, 2005 1 Prologue In 1819 Christopher Hansteen1 issued the book Untersuchungen über den Magnetismus der Erde, today a classic in geomagnetism. -
THE FIRST SCIENTIFIC EXPEDITION of CHARLES MASON and JEREMIAH DIXON* by THOMAS D
THE FIRST SCIENTIFIC EXPEDITION OF CHARLES MASON AND JEREMIAH DIXON* By THOMAS D. COPE University of Pennsylvania IT WAS the year 1760 and a transit of Venus across the face of the Sun was due to occur-the first since 1639. The pre- dicted date was June 6, 1761. The entire phenomenon would be visible throughout Asia, the Indian Ocean, the East Indies and western Australia, the North Polar Regions, and northeastern Europe. Observers within these regions would see the small black disk of Venus advance upon the limb of the Sun, touching it first on its eastern side well towards the south. Then for more than six hours Venus would creep across the solar disk in a direc- tion slightly south of west, leaving it on the western side. The exact projection of Venus upon the face of the Sun and the exact time occupied in transit would depend upon the position of the observer upon the surface of the Earth. If with the aid of his telescope and a carefully regulated clock the observer could record the instants, first when the disk of Venus appeared just to "touch" the solar disk, then when it was just wholly inside, then wrhen it just began to move off the disk, and finally the instant when the disk of Venus was last "touching" the limb of the Sun, he could report the time occupied in transit as observed from his station. If in addition he could measure from time to time during the transit the least distance in minutes of arc between -the edge of Venus and the limb of the Sun this information would locate the path of Venus upon the disk of the Sun as viewed from his sta- tion. -
Bliss Family History
Some Bliss Family History Compiled and Edited by Charles W. Paige IMPORTANT NOTE: This compiler’s original frame of reference for compiling the Bliss family’s history was an outline created for Great-Aunt Etta (Bliss) Kendrick to prove ancestral military participation on the American side of the Revolutionary War. She needed same for procuring membership in the Daughters of the American Revolution (DAR), membership No. 145454 circa 1919. This compiler assumed that the outline’s contents were fully researched and completely accurate. However, it later developed that the outline was at variance with a multivolume set of books entitled Genealogy of the Bliss Family in America, compiled by Aaron Tyler Bliss of Midland, Michigan, and published in 1982. Profound variances mostly occur regarding generations prior to Captain Samuel Bliss, Sr., of Rehoboth, especially the family’s history on the east side of the Atlantic Ocean. They include differences in ancestral names, locations, relationships, origins, and circumstances surrounding the family’s immigration to America. Disavowed is any link to the town and bloodlines formerly connected with Blois, France, and erased or totally unaccounted for is the religious trauma so prevalent in early Bliss family history recounting. Not fully convinced that some form of whitewash is not taking place, the Bliss family history prior to Captain Samuel Bliss, Sr., in the following compilation, mostly still reflects the original referenced outline and thus, perhaps, should be taken with one or more grains of salt. Aaron T. Bliss’s version, which today is generally accepted by Bliss researchers, can be found elsewhere. Copyright 1982, 2015 Charles W. -
Guicciardini N the Development
THE DEVELOPMENT OF NEWTONIAN CALCULUS IN BRITAIN 1700-1800 NICCOLO GUICCIARDINI The right o/the Un;",rsiljl 0/ Cambridge 10 print (lIId sell 011 monner 0/ boob WQS granted by Henry Vlllm ISJ4. T'Iu! Uni~rsi')! Iws printed and published continuously since "84. CAMBRIDGE UNIVERSITY PRESS Cambridge New York Port Chester Melbourne Sydney PUBLISHED BY THE PRESS SYNDICATE OF THE UNIVERSITY OF CAMBRIDGE The Pitt Building, Trumpington Street, Cambridge, United Kingdom CAMBRIDGE UNIVERSITY PRESS The Edinburgh Building, Cambridge CB2 2RU, UK 40 West 20th Street, New York NY 10011-4211, USA 477 Williamstown Road, Port Melbourne, VIC 3207, Australia Ruiz de Alarcon 13,28014 Madrid, Spain Dock House, The Waterfront, Cape Town 800 I, South Africa http://www.cambridge.org © Cambridge University Press 1989 This book is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 1989 First paperback edition 2002 A catalogue record/or this book is available/rom the British Library Library 0/ Congress Cataloguing in Publication data Guicciardini, Niccolo. The development of Newtonian calculus in Britain 1700-1800 I Niccolo Guicciardini. p. cm. Originally presented as the author's thesis (Ph. D.-Council for National Academic Awards, 1987) Bibliography: p. Includes index. ISBN 0521 364663 I. Calculus - Great Britain - History - 18th century. I. Title. QA303.G94 1989 515'.0941'09033-dc20 89-7085 CIP ISBN 0 521 36466 3 hardback ISBN 0521 524849 paperback CONTENTS Introduction vii OVERTURE: NEWTON'S PUBLISHED WORK ON THE CALCULUS OF FLUXIONS I P ART I: THE EARLY PERIOD 9 I THE DIFFUSION OF THE CALCULUS (1700-30) II 1.1 Early initiates' 12 1.2 Textbook writers 13 1.3 The teaching of the calculus in the universities 18 2 DEVELOPMENTS IN THE CALCULUS OF FLUXIONS (1714-33) 28 2. -
Physics Celebrity #9
No known Painting (Newton had them all destroyed) Born July 18, 1635 Freshwater, Isle of Wight, England Died March 3, 1703 (aged 67) London, England Academic advisors Robert Boyle Known for Hooke's Law Microscopy Influences Richard Busby An English natural philosopher and polymath who played an important role in the scientific revolution, through both experimental and theoretical work. Hooke is known principally for his law of elasticity (Hooke's Law). He is also remembered for his work as "the father of microscopy" — it was Hooke who coined the term "cell" to describe the basic unit of life — he also assisted Robert Boyle and built the vacuum pumps used in Boyle's gas law experiments. Hooke was an important architect of his time, and a chief surveyor to the City of London after the Great Fire, built some of the earliest Gregorian telescopes, observed the rotations of Mars and Jupiter, and was an early proponent of the theory of evolution through his observations of microscopic fossils. He investigated the phenomenon of refraction, deducing the wave theory of light, and was the first to suggest that matter expands when heated and that air is made of small particles separated by relatively large distances. He also deduced from experiments that gravity follows an inverse square law, and that such a relation governs the motions of the planets, an idea which was subsequently developed by Newton.[1] Much of Hooke's work was conducted in his capacity as curator of experiments of the Royal Society, a post he held from 1662. Hooke was, by all accounts, a remarkably industrious man, and was at one time simultaneously the curator of the Royal Society and a Hooke's microscope member of its council, Gresham Professor of Geometry and Chief Surveyor to the City of London. -
Griswold Family Association Family Association of America, Inc
f / ' • • t I i-V./ > //'/■'( '( I 1 /'?/') c / /' V / >'/. / ( ' ' / .» ' ' jl /• t- ! . 1^1 / /' ' ' ' ; , /i 0^ Children by second wife: iv. Hannah, b. abt. 1686; d. 3 Aug. 1723; m. 10 May 1709, Ebbnbzbb terton,bom 17 Sept. 1678, daughter of William and Mary (Clark).' Feck. She married secondly Abraham Dickerman. V. Pm8CiLLA^^b.^30^Dec. 1688; m. John SpsnitY of TVoodbridge, b. 3 Children: 15. vi. Aobauam, b. abt. 1691. 1. Thankkul,* b. 15 June 1701; m.(1) 10 June 1725 James Gilbert, vil. Abiqau., b. 12 Oct. 1696; d. 30 Aug. 1736; m. 7 Jan. 1722, Daniel ^h. 18 Sept. 1700, d. 1728; m.(2) 30 Dec. 1731, Caleb Bradley. Winston, b. 18 Aug. 1680, d. 17 Jan. 1780. 26. ii. Caleb, b. 27 July 1703. Till. Dbshib, b. abt. 1698; d. Oct. 1702. 27. iil. Joshua, b. 22 Dec. 1707. 16. is. Isaac, b. June 1701. iv. Ruth. b. 16 Mar. 1712; d. 30 Mar. 1773; m. Thomas Gilbert, b. 17. z. Jacob, b. Feb. 1701. 14 Feb. 1709, d. 19 Oct. 1775. 5. Thomas* Hotchkiss (^Samuel^), called Sergeant, appears to have 9. Joseph* Hotchkiss (John,^ Samuel"), founder of the Guilford branch owned lands in Hamden and Woodbridge. He was bom 31 Aug. of the family, was bom 8 June 1678. He married, Apr. 1699, 1654, and died 27 Dec. 1711. He married, 27 Nov. 1677, Sarah Hannah Cruttenden. WiLMOT, who was bom 8 Mar. 1668, and died in 1731, having Children: married secondly, about 1713, Lieut. Daniel Sperry. 28. i. Joseph,< b. 3 Sept. 1700. Children: a.