Ancient Constellations with Research on Hipparchus, Aratus and Their Followers and Contributions to the Art-History of the Celestial Sphere
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The Dunhuang Chinese Sky: a Comprehensive Study of the Oldest Known Star Atlas
25/02/09JAHH/v4 1 THE DUNHUANG CHINESE SKY: A COMPREHENSIVE STUDY OF THE OLDEST KNOWN STAR ATLAS JEAN-MARC BONNET-BIDAUD Commissariat à l’Energie Atomique ,Centre de Saclay, F-91191 Gif-sur-Yvette, France E-mail: [email protected] FRANÇOISE PRADERIE Observatoire de Paris, 61 Avenue de l’Observatoire, F- 75014 Paris, France E-mail: [email protected] and SUSAN WHITFIELD The British Library, 96 Euston Road, London NW1 2DB, UK E-mail: [email protected] Abstract: This paper presents an analysis of the star atlas included in the medieval Chinese manuscript (Or.8210/S.3326), discovered in 1907 by the archaeologist Aurel Stein at the Silk Road town of Dunhuang and now held in the British Library. Although partially studied by a few Chinese scholars, it has never been fully displayed and discussed in the Western world. This set of sky maps (12 hour angle maps in quasi-cylindrical projection and a circumpolar map in azimuthal projection), displaying the full sky visible from the Northern hemisphere, is up to now the oldest complete preserved star atlas from any civilisation. It is also the first known pictorial representation of the quasi-totality of the Chinese constellations. This paper describes the history of the physical object – a roll of thin paper drawn with ink. We analyse the stellar content of each map (1339 stars, 257 asterisms) and the texts associated with the maps. We establish the precision with which the maps are drawn (1.5 to 4° for the brightest stars) and examine the type of projections used. -
Read Book the Atlas
THE ATLAS PDF, EPUB, EBOOK William T. Vollmann | 496 pages | 01 Jun 1997 | Penguin Books Australia | 9780140254495 | English | Hawthorn, Australia The Atlas PDF Book For a collection of maps, see atlas. For Atlas had worked out the science of astrology to a degree surpassing others and had ingeniously discovered the spherical nature of the stars, and for that reason was generally believed to be bearing the entire firmament upon his shoulders. On the Customize screen turn off the Use default mobile theme option under Advanced Options. Although Paloma was very young, she was a very happy and dedicated mother. Ancient Greek deities by affiliation. In addition to presenting geographic features and political boundaries, many atlases often feature geopolitical , social, religious and economic statistics. Unsourced material may be challenged and removed. Selected Weekly Fruit Movement and Price describes the change in shipment volume, farm prices, and retail prices of select fruit for the week noted. The people behind the movement. Namespaces Article Talk. Police never caught them, although the street was surveyed by video cameras. It provides fascinating insights into the world of politics, art, education, foreign policy, science, and more, rewarding you with a rich understanding of how ideas shape your world. October 20, AM Fruit and Tree Nuts Data Fruit and Tree Nuts Data provide users with comprehensive statistics on fresh and processed fruits, melons, and tree nuts in the United States, as well as some global data for these sectors. One is for sure the food. Examine the aspirations, arguments, strategies, and disasters of socialist theory and practice. -
The Ptolemaic System Claudius Ptolemy
Putting it All Together: The Ptolemaic System Claudius Ptolemy (c. 90 - c. 168 CE) • Librarian at Alexandria • “The Great Treatise” & “The Almagest” (to the 12th Century) The Ptolemaic System: Objectives Wanted: A Model to explain the observed apparent motions of the Sun, Moon, Planets, and the Celestial Sphere. The Model should explain related phenomena such as the lunar phases, eclipses, and planetary brightness variation. The Model should be capable of accurately predicting these phenomena. (When? Where? Details?) The Model is geostatic, geocentric, and uses only uniform circular motions. (cf., the Aristotelian doctrines and the Aristarchian heresy.) The Ptolemaic System Observations • The apparent rotation of the Celestial Sphere • The annual motion of the Sun along the ecliptic • The monthly motion of the Moon The lunar phases and the synodic month Lunar and Solar Eclipses • The motions of the planets on the celestial sphere Direct and retrograde motions Planetary brightness variations Periodicities: The synodic periods Assumptions • A Geostatic cosmology (The Earth does not move.) • Uniform Circular motions (It is a “perfect” universe.) Approaches • The offsets and epicycles introduced by Hipparchus The Ptolemaic System For Inferior Planets (Mercury Venus) Deferent Period is 1 Year; Epicyclic period is the Synodic Period For Superior Planets (Mars, Jupiter, Saturn) Deferent Period is the Synodic period; Epicyclic Period is 1 year The Ptolemaic System (“To Scale”) Note: Indicated motions are with respect to the Celestial Sphere AGAIN: Problems with the Ptolemaic System Recollect the assumptions • The Earth doesn’t move (“geostatic”) • The Earth is at the center of the universe (“geocentric”) • All motions are circular (... or combinations thereof) • All motions are uniform (.. -
The Magic of the Atwood Sphere
The magic of the Atwood Sphere Exactly a century ago, on June Dr. Jean-Michel Faidit 5, 1913, a “celestial sphere demon- Astronomical Society of France stration” by Professor Wallace W. Montpellier, France Atwood thrilled the populace of [email protected] Chicago. This machine, built to ac- commodate a dozen spectators, took up a concept popular in the eigh- teenth century: that of turning stel- lariums. The impact was consider- able. It sparked the genesis of modern planetariums, leading 10 years lat- er to an invention by Bauersfeld, engineer of the Zeiss Company, the Deutsche Museum in Munich. Since ancient times, mankind has sought to represent the sky and the stars. Two trends emerged. First, stars and constellations were easy, especially drawn on maps or globes. This was the case, for example, in Egypt with the Zodiac of Dendera or in the Greco-Ro- man world with the statue of Atlas support- ing the sky, like that of the Farnese Atlas at the National Archaeological Museum of Na- ples. But things were more complicated when it came to include the sun, moon, planets, and their apparent motions. Ingenious mecha- nisms were developed early as the Antiky- thera mechanism, found at the bottom of the Aegean Sea in 1900 and currently an exhibi- tion until July at the Conservatoire National des Arts et Métiers in Paris. During two millennia, the human mind and ingenuity worked constantly develop- ing and combining these two approaches us- ing a variety of media: astrolabes, quadrants, armillary spheres, astronomical clocks, co- pernican orreries and celestial globes, cul- minating with the famous Coronelli globes offered to Louis XIV. -
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 -
OR GREAT BOOK. Figure 10 Explains the Cosmographic System of The
36 THE "ALMAGEST" OR GREAT BOOK. Figure 10 explains the cosmographic system of the same astronomer. In the centre we see the Earth, externally surrounded by fire [which is precisely opposite to the truth, according to the fundamental principles of modern geology; but the reader will understand that we are not attempting here to expose the errors of Ptolemaus; we confine ourselves to a description of his system]. Above the Earth spreads the first crystalline heaven, which carries and conveys the Moon. In the second and third crystal heavens the planets Mercury and Venus respectively describe their epicycles. The fourth heaven belongs to the Sun ; wherein it traverses the circle known as the ecliptic. The three last celestial spheres include Mars, Jupiter, and Saturn. Beyond these planets shines the heaven of the fixed stars. It rotates upon itself from east to west, with an inconceivable rapidity and an incalculable force of impulsion, for it is this which sets in motion all the fabulous machine. Ptolemaus places on the extreme confines of his vast Whole the eternal abode of the blessed. Thrice happy they in having no further cause to concern themselves %I c r ~NT about so terrible a system ; a system far from transparent, notwithstand ing all its crystal! S The treatise in which the Greek SU N X astronomer summed up his labours r _N_U remained for generations in high ( favour with the learned, and especi r F; r ally with the Arabs, whose privilegp and renown it is to have preserved intact the precious deposit of the sciences, when the Europe of the N - twelfth and thirteenth centuries was plunged in the night-shadows of the profoundest ignorance. -
Historical Astronomy
Historical Astronomy (Neolithic record of Moon Phases) Introduction Arguably the history of astronomy IS the history of science. Many cultures carried out astronomical observations. However, very few formed mathematical or physical models based on their observations. It is those that did that we will focus on here, primarily the Babylonians and Greeks. Other Examples At the same time, that focus should not cause us to forget the impressive accomplishments of other cultures. Other Examples ∼ 2300 year old Chankillo Big Horn Medicine Wheel, Observatory, near Lima, Wyoming Peru Other Examples Chinese Star Map - Chinese records go back over 4000 Stonehenge, England years Babylonian Astronomy The story we will follow in more detail begins with the Babylonians / Mesopotamians / Sumerians, the cultures that inhabited the “fertile crescent.” Babylonian Astronomy Their observations and mathematics was instrumental to the development of Greek astronomy and continues to influence science today. They were the first to provide a mathematical description of astronomical events, recognize that astronomical events were periodic, and to devise a theory of the planets. Babylonian Astronomy Some accomplishments: • The accurate prediction of solar and lunar eclipses. • They developed mathematical models to predict the motions of the planets. • Accurate star charts. • Recognized the changing apparent speed of the Sun’s motion. • Developed models to account for the changing speed of the Sun and Moon. • Gave us the idea of 360◦ in a circle, 600 in a degree, 6000 in a minute. Alas, only very fragmentary records of their work survives. Early Greek The conquests of Alexander the Great are oen credited with bringing knowl- edge of the Babylonians science and mathematics to the Greeks. -
The Epoch of the Constellations on the Farnese Atlas and Their Origin in Hipparchus’S Lost Catalogue
JHA, xxxvi (2005) THE EPOCH OF THE CONSTELLATIONS ON THE FARNESE ATLAS AND THEIR ORIGIN IN HIPPARCHUS’S LOST CATALOGUE BRADLEY E. SCHAEFER, Louisiana State University, Baton Rouge 1. BACKGROUND The Farnese Atlas is a Roman statue depicting the Titan Atlas holding up a celestial globe that displays an accurate representation of the ancient Greek constellations (see Figures 1 and 2). This is the oldest surviving depiction of the original Western constellations, and as such can be a valuable resource for studying their early development. The globe places the celestial fi gures against a grid of circles (including the celestial equator, the tropics, the colures, the ecliptic, the Arctic Circle, and the Antarctic Circle) that allows for the accurate positioning of the constellations. The positions shift with time due to precession, so the observed positions on the Farnese Atlas correspond to some particular date. Also, the declination of the Arctic and Antarctic Circles will correspond to a particular latitude for the observer whose observations were adopted by the sculptor. Thus, a detailed analysis of the globe will reveal the latitude and epoch for the observations incorporated in the Atlas; and indeed these will specify enough information that we can identify the observer. Independently, a detailed comparison of the constellation symbols on the Atlas with those from the other surviving ancient material also uniquely points to the same origin for the fi gures. The Farnese Atlas1 fi rst came to modern attention in the early sixteenth century when it became part of the collection of antiquities in the Farnese Palace in Rome, hence its name. -
Celestial Globe Fragment SK1050A
Evidence for a new interpretation of the Berlin Celestial Globe fragment SK1050A Ulrich Kuehne (Berlin) ULRICH . KUEHNE . 1 9 8 7 @ BALLIOL . ORG Version: 1.0 ABSTRACT Since Thiele (1898) the fragment SK1050A in the Neue Museum in Berlin has been interpreted as being part of an ancient vessel garnished with arbitrary astronomical ornaments. In this paper evidence is collected that the fragment was in fact part of a sophisticated astronomical instrument: (1) Structures of the fragment indicate that the celestial globe was fitted with a water-clock similar to the design by Ctesibius and that this water-clock propelled an astronomical model of the universe. (2) Iconographic parallels between SK1050A and the Atlas Farnese suggest that the latter was intended to be a replica of the Berlin celestial globe. (3) The arrangement of the ‘star-markings’ on SK1050A might be explained as geometrical constructions to establish spherical coordinate transformations. In consequence, SK1050A appears to be the product of a profound astronomer while some evidence beyond that prompts the hypothesis that the fragment is from the celestial globe of Archimedes. CONTENTS I. The traditional interpretation of SK1050A by Georg Thiele (1898) II. Towards an new interpretation of SK1050A a. SK1050A as part of a water-clock b. A comparison of SK1050A and the Atlas Farnese c. The astronomical engravings on SK1050A (i) The placement of the constellation figures (ii) The placement of the 16 ‘star-markings’ III. Open questions Appendix: Figures Ulrich Kühne SK1050A_100.odt 28.09.2011 14:49 page 1 I. T HE TRADITIONAL INTERPRETATION OF SK1050A BY G EORG THIELE (1898) The Berlin Celestial Globe (BCG) fragment was bought 1889 by the Antikensammlung Berlin from unknown provenance and is listed with inventory number SK1050A. -
Proof of Geocentric Theory E
Proof of geocentric theory E. A. Abdo Abstract: Rejected by modern science, the geocentric theory (in Greek, ge means earth), which maintained that Earth was the center of the universe, dominated ancient and medieval science. It seemed evident to early astronomers that the rest of the universe moved about a stable, motionless Earth. The Sun, Moon, planets, and stars could be seen moving about Earth along circular paths day after day. It appeared reasonable to assume that Earth was stationary, for nothing seemed to make it move. Furthermore, the fact that objects fall toward Earth provided what was perceived as support for the geocentric theory. Finally, geocentrism was in accordance with the theocentric (God-centered) world view, dominant in in the Middle Ages, when science was a subfield of theology. Introduction: The geocentric model created by Greek astronomers assumed that the celestial bodies moving about the Earth followed perfectly circular paths. This was not a random assumption: the circle was regarded by Greek mathematicians and philosophers as the perfect geometric figure and consequently the only one appropriate for celestial motion. However, as astronomers observed, the patterns of celestial motion were not constant. The Moon rose about an hour later from one day to the next, and its path across the sky changed from month to month. The Sun's path, too, changed with time, and even the configuration of constellations changed from season to season. These changes could be explained by the varying rates at which the celestial bodies revolved around the Earth. However, the planets (which got their name from the Greek word planetes, meaning wanderer and subject of error), behaved in ways that were difficult to explain. -
Hestia: the Indo-European Goddess of the Cosmic Central Fire
Hestia: The Indo-European Goddess of the Cosmic Central Fire Marcello De Martino Abstract: The Pythagorean Philolaus of Croton (470-390 BCE) created a unique model of the Universe and he placed at its centre a ‘fire’, around which the spheres of the Earth, the Counter-Earth, the five planets, the Sun, the Moon and the outermost sphere of fixed stars, also viewed as fire but of an ‘aethereal’ kind, were revolving. This system has been considered as a step towards the heliocentric model of Aristarchus of Samos (310-230 BCE), the astronomical theory opposed to the geocentric system, which already was the communis opinio at that time and would be so for many centuries to come: but is that really so? In fact, comparing the Greek data with those of other ancient peoples of Indo-European language, it can be assumed that the ‘pyrocentric’ system is the last embodiment of a theological tradition going back to ancient times: Hestia, the central fire, was the descendant of an Indo-European goddess of Hearth placed at the centre of the religious and mythological view of a deified Cosmos where the gods were essentially personifications of atmospheric phenomena and of celestial bodies. In 1960, an article came out in a scientific journal which specialised in topics which were a bit more eccentric that those of traditional research studies on the history of religions, especially the classical ones. Its title was On the Relation between Early Greek Scientific Thought and Mysticism: Is Hestia, the Central Fire, an Abstract Astronomical Concept?.1 The author was Rudolph E. -
The Universe Mechanized
08/12/2016 1 08/12/2016 Pergamum Syracuse Rhodos Alexandria 2 08/12/2016 3 08/12/2016 Hipparchus Euclides Heron Apollonius of Perga Aristarchus Ptolemaeus Eratosthenes Archimedes 4 08/12/2016 Various astronomers made significant, even amazing, contributions. Noteworthy examples: ∑ Aristarchus of Samos ‐ Heliocentric Universe ‐ distance Moon & Sun ‐ size Sun ∑ Archimedes ‐ Planisphere/Planetarium ? ∑ Eratosthenes ‐ Diameter Earth ∑ Hipparchus ‐ multitude essential contributions Problematic is the loss of nearly all, except for a few, of the books and works they have written … 5 08/12/2016 “On the Sizes & Distances of the Sun and Moon ”: Only one work of Aristarchus survives: On the Sizes and the Distances of the Sun and Moon First mathematically based attempt to measure distance Earth‐Sun, thus First attempt to measure scale Universe Based upon geocentric view of Universe On the Sizes and the Distances Greek copy 10th century 6 08/12/2016 Aristarchus' geometric construction used to estimate the distance to the Sun. Earth (E) –Sun (S)‐Moon (M) triangle and sizes are not drawn to scale. Measure angle b: c = 90±‐b EM/ES = sin(c) Aristarchus: b = 87± real value: b = 89±50 ES = 19 EM real value: ES = 397 EM Numerically, very unstable procedure, reason for huge error. Nonetheless, On the Sizes and the Distances Greek copy 10th century Aristarchus' estimate of size Sun: angular diameter Sun ~ angular diameter Moon Dist. Earth‐Sun = 19 Dist. Earth‐Moon size Sun = 19 x size Moon size Sun > size Earth On the Sizes and the Distances Greek copy 10th century 7 08/12/2016 Archimedes, “the Sand Reckoner” (~200 BCE): You King Gelon are aware the ‘universe' is the name given by most astronomers to the sphere the center of which is the center of the Earth, while its radius is equal to the straight line between the center of the Sun and the center of the Earth.