How Johannes Kepler Revolutionized Astronomy
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History of Astrometry
5 Gaia web site: http://sci.esa.int/Gaia site: web Gaia 6 June 2009 June are emerging about the nature of our Galaxy. Galaxy. our of nature the about emerging are More detailed information can be found on the the on found be can information detailed More technologies developed by creative engineers. creative by developed technologies scientists all over the world, and important conclusions conclusions important and world, the over all scientists of the Universe combined with the most cutting-edge cutting-edge most the with combined Universe the of The results from Hipparcos are being analysed by by analysed being are Hipparcos from results The expression of a widespread curiosity about the nature nature the about curiosity widespread a of expression 118218 stars to a precision of around 1 milliarcsecond. milliarcsecond. 1 around of precision a to stars 118218 trying to answer for many centuries. It is the the is It centuries. many for answer to trying created with the positions, distances and motions of of motions and distances positions, the with created will bring light to questions that astronomers have been been have astronomers that questions to light bring will accuracies obtained from the ground. A catalogue was was catalogue A ground. the from obtained accuracies Gaia represents the dream of many generations as it it as generations many of dream the represents Gaia achieving an improvement of about 100 compared to to compared 100 about of improvement an achieving orbit, the Hipparcos satellite observed the whole sky, sky, whole the observed satellite Hipparcos the orbit, ear Y of them in the solar neighbourhood. -
The Astronomers Tycho Brahe and Johannes Kepler
Ice Core Records – From Volcanoes to Supernovas The Astronomers Tycho Brahe and Johannes Kepler Tycho Brahe (1546-1601, shown at left) was a nobleman from Denmark who made astronomy his life's work because he was so impressed when, as a boy, he saw an eclipse of the Sun take place at exactly the time it was predicted. Tycho's life's work in astronomy consisted of measuring the positions of the stars, planets, Moon, and Sun, every night and day possible, and carefully recording these measurements, year after year. Johannes Kepler (1571-1630, below right) came from a poor German family. He did not have it easy growing Tycho Brahe up. His father was a soldier, who was killed in a war, and his mother (who was once accused of witchcraft) did not treat him well. Kepler was taken out of school when he was a boy so that he could make money for the family by working as a waiter in an inn. As a young man Kepler studied theology and science, and discovered that he liked science better. He became an accomplished mathematician and a persistent and determined calculator. He was driven to find an explanation for order in the universe. He was convinced that the order of the planets and their movement through the sky could be explained through mathematical calculation and careful thinking. Johannes Kepler Tycho wanted to study science so that he could learn how to predict eclipses. He studied mathematics and astronomy in Germany. Then, in 1571, when he was 25, Tycho built his own observatory on an island (the King of Denmark gave him the island and some additional money just for that purpose). -
Hints Into Kepler's Method
Stefano Gattei [email protected] Hints into Kepler’s method ABSTRACT The Italian Academy, Columbia University February 4, 2009 Some of Johannes Kepler’s works seem very different in character. His youthful Mysterium cosmographicum (1596) argues for heliocentrism on the basis of metaphysical, astronomical, astrological, numerological, and architectonic principles. By contrast, Astronomia nova (1609) is far more tightly argued on the basis of only a few dynamical principles. In the eyes of many, such a contrast embodies a transition from Renaissance to early modern science. However, Kepler did not subsequently abandon the broader approach of his early works: similar metaphysical arguments reappeared in Harmonices mundi libri V (1619), and he reissued the Mysterium cosmographicum in a second edition in 1621, in which he qualified only some of his youthful arguments. I claim that the conceptual and stylistic features of the Astronomia nova – as well as of other “minor” works, such as Strena seu De nive sexangula (1611) or Nova stereometria doliorum vinariorum (1615) – are intimately related and were purposely chosen because of the response he knew to expect from the astronomical community to the revolutionary changes in astronomy he was proposing. Far from being a stream-of-consciousness or merely rhetorical kind of narrative, as many scholars have argued, Kepler’s expository method was carefully calculated both to convince his readers and to engage them in a critical discussion in the joint effort to know God’s design. By abandoning the perspective of the inductivist philosophy of science, which is forced by its own standards to portray Kepler as a “sleepwalker,” I argue that the key lies in the examination of Kepler’s method: whether considering the functioning and structure of the heavens or the tiny geometry of the little snowflakes, he never hesitated to discuss his own intellectual journey, offering a rational reconstruction of the series of false starts, blind alleys, and failures he encountered. -
Thinking Outside the Sphere Views of the Stars from Aristotle to Herschel Thinking Outside the Sphere
Thinking Outside the Sphere Views of the Stars from Aristotle to Herschel Thinking Outside the Sphere A Constellation of Rare Books from the History of Science Collection The exhibition was made possible by generous support from Mr. & Mrs. James B. Hebenstreit and Mrs. Lathrop M. Gates. CATALOG OF THE EXHIBITION Linda Hall Library Linda Hall Library of Science, Engineering and Technology Cynthia J. Rogers, Curator 5109 Cherry Street Kansas City MO 64110 1 Thinking Outside the Sphere is held in copyright by the Linda Hall Library, 2010, and any reproduction of text or images requires permission. The Linda Hall Library is an independently funded library devoted to science, engineering and technology which is used extensively by The exhibition opened at the Linda Hall Library April 22 and closed companies, academic institutions and individuals throughout the world. September 18, 2010. The Library was established by the wills of Herbert and Linda Hall and opened in 1946. It is located on a 14 acre arboretum in Kansas City, Missouri, the site of the former home of Herbert and Linda Hall. Sources of images on preliminary pages: Page 1, cover left: Peter Apian. Cosmographia, 1550. We invite you to visit the Library or our website at www.lindahlll.org. Page 1, right: Camille Flammarion. L'atmosphère météorologie populaire, 1888. Page 3, Table of contents: Leonhard Euler. Theoria motuum planetarum et cometarum, 1744. 2 Table of Contents Introduction Section1 The Ancient Universe Section2 The Enduring Earth-Centered System Section3 The Sun Takes -
Space Travel to the Moon and Kepler's Dream
Proceedings of the Iowa Academy of Science Volume 79 Number Article 15 1972 Space Travel to the Moon and Kepler's Dream Paul B. Selz Parsons College Let us know how access to this document benefits ouy Copyright ©1972 Iowa Academy of Science, Inc. Follow this and additional works at: https://scholarworks.uni.edu/pias Recommended Citation Selz, Paul B. (1972) "Space Travel to the Moon and Kepler's Dream," Proceedings of the Iowa Academy of Science, 79(1), 47-48. Available at: https://scholarworks.uni.edu/pias/vol79/iss1/15 This General Interest Article is brought to you for free and open access by the Iowa Academy of Science at UNI ScholarWorks. It has been accepted for inclusion in Proceedings of the Iowa Academy of Science by an authorized editor of UNI ScholarWorks. For more information, please contact [email protected]. Selz: Space Travel to the Moon and Kepler's Dream SPACE TRAVEL & KEPLER'S DREAM 47 Space Travel to the Moon and Kepler's Dream PAUL B. SELZ1 PAUL B. SELZ. Space Travel to the Moon and Kepler's Dream. that the same conclusions would follow. This involved concepts Proc. Iowa Acad. Sci., 79(1):47-48, 1972. ~£ mass, inertia, gravity, acceleration, velocity, and the driving SYNOPSIS: Johann Kepler advocated Copernicus's heliocentric force in a trip to the moon. Twelve years before Newton's birth theory in his Dream and Notes. He imagined how a moon dweller in 1642, Kepler published in this little known dream ideas which would see the solar system and the conclusions he would draw. -
Leonhard Euler: His Life, the Man, and His Works∗
SIAM REVIEW c 2008 Walter Gautschi Vol. 50, No. 1, pp. 3–33 Leonhard Euler: His Life, the Man, and His Works∗ Walter Gautschi† Abstract. On the occasion of the 300th anniversary (on April 15, 2007) of Euler’s birth, an attempt is made to bring Euler’s genius to the attention of a broad segment of the educated public. The three stations of his life—Basel, St. Petersburg, andBerlin—are sketchedandthe principal works identified in more or less chronological order. To convey a flavor of his work andits impact on modernscience, a few of Euler’s memorable contributions are selected anddiscussedinmore detail. Remarks on Euler’s personality, intellect, andcraftsmanship roundout the presentation. Key words. LeonhardEuler, sketch of Euler’s life, works, andpersonality AMS subject classification. 01A50 DOI. 10.1137/070702710 Seh ich die Werke der Meister an, So sehe ich, was sie getan; Betracht ich meine Siebensachen, Seh ich, was ich h¨att sollen machen. –Goethe, Weimar 1814/1815 1. Introduction. It is a virtually impossible task to do justice, in a short span of time and space, to the great genius of Leonhard Euler. All we can do, in this lecture, is to bring across some glimpses of Euler’s incredibly voluminous and diverse work, which today fills 74 massive volumes of the Opera omnia (with two more to come). Nine additional volumes of correspondence are planned and have already appeared in part, and about seven volumes of notebooks and diaries still await editing! We begin in section 2 with a brief outline of Euler’s life, going through the three stations of his life: Basel, St. -
Copernicus' De Rev. Was Published in 1542/3
Copernicus’ De rev. was published in 1542/3 and quickly faded. Few copies were printed. There wasn’t even an English edition until 1952. However the 1540s were a good decade for the history of science in general. 1540- Biringuccio's Pirotechnia 1542- Vesalius’ De Humani Corporis Fabrica 1542- Fuchs's De historia stirpium comentarii insignes 1543- 1st fairly complete Latin ed. of Archimedes 1545- Cardano's "Ars Magna" 1st Latin Algebra 1540- Biringuccio's Pirotechnia - This is a book on metalurgy and all sorts of other fire related technological things, including some alchemy. Good illustrations. 1542- Fuchs's De historia stirpium comentarii insignes - a book with accurate illustrations and medicinal descriptions. The owner of this book could possibly identify a plant on his/her own. 1542- Vesalius’ De Humani Corporis Fabrica- A vastly more complete and better illustrated text on anatomy and physiology. A few took up the Copernican idea and expanded on it. The Diggesian Cosmos (1576) http://math.dartmouth.edu/~matc/Readers/re naissance.astro/1.1.Revol.html From Bruno’s Cena Cenari Bruno was later burned at the stake in the Campo dei fiori in Rome (1600) And then Kepler heard about Copernicus’ theory from his teacher and friend Maestlin. Kepler wrote Mysterium cosmographicum, which was published in 1596. This work was not only based on the Copernican model, it was a vast Platonic/Pythagorean expansion of it. The full title is… Prodromus Dissertationum Cosmographicarum conteinens Mysterium Cosmographicum de admirabili Proportione Orbium Coelestium deque Causis Coelorum numeri, magnitudinis, motuumque periodicorum genuinis et propriis, demonstratum per quinque regularia corpora Geometrica …which roughly translates to An Announcement (or wind that precedes the rising of the Dog-Star) of a Cosmographic Discussion containing the Divine Cosmic Mystery of the wonderfully Proportioned Celestial Sphere due to numbers, magnitudes and particular movements and periods of the heavens shown by using the five regular geometrical solids. -
Galileo in Early Modern Denmark, 1600-1650
1 Galileo in early modern Denmark, 1600-1650 Helge Kragh Abstract: The scientific revolution in the first half of the seventeenth century, pioneered by figures such as Harvey, Galileo, Gassendi, Kepler and Descartes, was disseminated to the northernmost countries in Europe with considerable delay. In this essay I examine how and when Galileo’s new ideas in physics and astronomy became known in Denmark, and I compare the reception with the one in Sweden. It turns out that Galileo was almost exclusively known for his sensational use of the telescope to unravel the secrets of the heavens, meaning that he was predominantly seen as an astronomical innovator and advocate of the Copernican world system. Danish astronomy at the time was however based on Tycho Brahe’s view of the universe and therefore hostile to Copernican and, by implication, Galilean cosmology. Although Galileo’s telescope attracted much attention, it took about thirty years until a Danish astronomer actually used the instrument for observations. By the 1640s Galileo was generally admired for his astronomical discoveries, but no one in Denmark drew the consequence that the dogma of the central Earth, a fundamental feature of the Tychonian world picture, was therefore incorrect. 1. Introduction In the early 1940s the Swedish scholar Henrik Sandblad (1912-1992), later a professor of history of science and ideas at the University of Gothenburg, published a series of works in which he examined in detail the reception of Copernicanism in Sweden [Sandblad 1943; Sandblad 1944-1945]. Apart from a later summary account [Sandblad 1972], this investigation was published in Swedish and hence not accessible to most readers outside Scandinavia. -
Kepler's Mysterium Cosmographicum
Bridges 2011: Mathematics, Music, Art, Architecture, Culture Kepler’s Mysterium Cosmographicum: A Bridge Between Art and Astronomy? Kenneth Brecher Departments of Astronomy and Physics Boston University Boston, MA 02215, U. S. A. E-mail: [email protected] Abstract Johannes Kepler published his geometrical model of the solar system in his book “Mysterium Cosmographicum” in 1596. It is suggested here that the inspiration for Kepler’s model was deeply rooted in the art and craft of his time. What Was the Origin of Kepler’s Celestial Model? Johannes Kepler published his first book, the Mysterium Cosmographicum in 1596 at age 26 while he was employed as a mathematics schoolteacher in the German provincial city of Graz. In a sense, the entire rest of his astronomical career was an elaboration of the questions he sought to address in this work: Why were there six (then known) solar system planets? Why are they spaced around the Sun as they are? Why do they move as they do? He answered these questions by apparently creating out of thin air an elaborate model for the layout of the solar system based on spheres inscribed and circumscribed around five nested Platonic solids. In many ways, this book represented a turning point for the way astronomy would be done in the future, for it sought to provide reasons behind what had heretofore been mainly a descriptive science. As the Kepler scholar Owen Gingerich has remarked [1] in his account of Kepler’s life and work, “Seldom in history has so wrong a book been so seminal in directing the future course of science.” Figure 1 a, b, c: On the left is the frontispiece for the Mysterium Cosmographicum. -
Chapter 1 Chapter 2 Chapter 3
Notes CHAPTER 1 1. Herbert Westren Turnbull, The Great Mathematicians in The World of Mathematics. James R. Newrnan, ed. New York: Sirnon & Schuster, 1956. 2. Will Durant, The Story of Philosophy. New York: Sirnon & Schuster, 1961, p. 41. 3. lbid., p. 44. 4. G. E. L. Owen, "Aristotle," Dictionary of Scientific Biography. New York: Char1es Scribner's Sons, Vol. 1, 1970, p. 250. 5. Durant, op. cit., p. 44. 6. Owen, op. cit., p. 251. 7. Durant, op. cit., p. 53. CHAPTER 2 1. Williarn H. Stahl, '' Aristarchus of Samos,'' Dictionary of Scientific Biography. New York: Charles Scribner's Sons, Vol. 1, 1970, p. 246. 2. Jbid., p. 247. 3. G. J. Toorner, "Ptolerny," Dictionary of Scientific Biography. New York: Charles Scribner's Sons, Vol. 11, 1975, p. 187. CHAPTER 3 1. Stephen F. Mason, A History of the Sciences. New York: Abelard-Schurnan Ltd., 1962, p. 127. 2. Edward Rosen, "Nicolaus Copernicus," Dictionary of Scientific Biography. New York: Charles Scribner's Sons, Vol. 3, 1971, pp. 401-402. 3. Mason, op. cit., p. 128. 4. Rosen, op. cit., p. 403. 391 392 NOTES 5. David Pingree, "Tycho Brahe," Dictionary of Scientific Biography. New York: Charles Scribner's Sons, Vol. 2, 1970, p. 401. 6. lbid.. p. 402. 7. Jbid., pp. 402-403. 8. lbid., p. 413. 9. Owen Gingerich, "Johannes Kepler," Dictionary of Scientific Biography. New York: Charles Scribner's Sons, Vol. 7, 1970, p. 289. 10. lbid.• p. 290. 11. Mason, op. cit., p. 135. 12. Jbid .. p. 136. 13. Gingerich, op. cit., p. 305. CHAPTER 4 1. -
Kepler's Cosmos
science and image Kepler’s cosmos Copernicus’s system of the Universe was revolutionary but his method of representing it on paper was anything but. It was left to Kepler to apply Renaissance techniques of spatial visualization to make the theory come alive. Martin Kemp icolaus Copernicus’s programme to 8 purge the Ptolemaic model of the Uni- Nverse of its growing burden of disfig- uring complications was driven not least by what we would call aesthetic considerations. The architecture of his heliocentric system reinstated the geometrical integrity that the Greek astronomers had sought: “At rest... in the middle of everything is the sun. For in this most beautiful temple, who would place this lamp in another or better position than that from which it can light up the whole thing at the same time?” Although Copernicus’s “temple” obeyed the principles of harmonically unified design advocated in the Renaissance, his conventionally diagrammatic representa- tion of his scheme in 1543 as a flat series of concentric circles did not avail itself of the new spatial vision inherent in the buildings and paintings of the Renaissance masters. It was more than 50 years later that Johannes Kepler, fervent Copernican and Platonist, allied the new visual forms with the new astronomical vision. Among the many testimonies to Kepler’s extraordinary powers of spatial visualiza- tion, none is more remarkable than the great cosmological model he illustrated in a fold- out plate in his Mysterium Cosmographicum of 1596. We know how the scheme came to be envisaged. He tells how, when he was teach- ing his “students the way Great Conjunc- tions jump eight signs at a time”, he drew Kepler’s “Model of the Orbits of the Planets” “many triangles, or quasi triangles, in the from Mysterium Cosmographicum, 1596 (above). -
Jerzy Piotr Majchrzak
WYŻSZA SZKOLA PEDAGOGICZNA ZIELONA GÓRA IM. TADEUSZA KOTARBIŃSKIEGO 1992 ' STUDIA ZACHODNIE str. 47-55 Jerzy Piotr Majchrzak WALLENSTEIN JAKO KSIĄŻĘ ŻAGANIA Dnia 3 września 1627 r. Ferdynand II Habsburg zawiadomił Śląską Ka merę Domen we Wrocławiu , że jest zdecydowany sprzedać Księstwo Żagań skie Albrechtowi Wallensteinowi za sumę 150 858 florenów reńskich jako cesarskie lenno, z prawem dziedziczenia w linii męskiej 1 • Wallenstein wahał się, czy przyjąć Żagań jako lenno - cesarz winien był mu znaczne sumy z tytułu wynagrodzenia za służbę. Zanim zdecydował się przyjąć ofertę kupna Żagania zażądał od monarchy ustalenia wysokości należnych mu poborów. W połowie stycznia 1628 r. Ferdynand ustalił wysokość wynagrodzenia Wal lensteina na sumę 6 tysięcy florenów reńskich miesięcznie. Cesarskim posta nowieniem z dnia 26 kwietnia suma ta ma zostać wypłacona Wallensteinowi z wyrównaniem od 25 lipca 1625 r. Dług Habsburga wynosił 198 tysięcy florenów reńskich. Po odliczeniu kwoty za Żagań Ferdynand nadal zalegał z wypłatą poborów na sumę 47 150 florenów. Tych pieniędzy Wallenstein nigdy nie otrzymaF. Podpisanie aktu sprzedaży-kupna nastąpiło już 18 grudnia 1627 r. w Pradze. Obszar obejmujący zamek i ogród zamkowy w Żaganiu, wsie Łozy (Loos), Czernice (Tschiebsdorf) i Machnów (Polnischmachen) nabył Wallen stein jako cesarskie lenno pod nazwą "Księstwo Żagańskie" 3 . Ten szczątkowy twór, pozostałość rozciągającego się niegdyś na powierzchni 715 km2 księ- 1Regest tego dokumentu w: Stadtbuch, nr 23 , (1627-1711), Lehnsverhii.ltnisse des Fiirstentums Sagan (Akta m . Żagania Oddz. AP Żary , sygn. 12, p. 4). P ełne brzmie nie tego listu podaje A. H e i nr i c h , Wallenstein ais Herzog von Sagan, Breslau 1896, s.