The Succession of World Ages Jane B
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The Observer's Handbook for 1912
T he O bservers H andbook FOR 1912 PUBLISHED BY THE ROYAL ASTRONOMICAL SOCIETY OF CANADA E d i t e d b y C. A, CHANT FOURTH YEAR OF PUBLICATION TORONTO 198 C o l l e g e St r e e t Pr in t e d fo r t h e So c ie t y 1912 T he Observers Handbook for 1912 PUBLISHED BY THE ROYAL ASTRONOMICAL SOCIETY OF CANADA TORONTO 198 C o l l e g e St r e e t Pr in t e d fo r t h e S o c ie t y 1912 PREFACE Some changes have been made in the Handbook this year which, it is believed, will commend themselves to observers. In previous issues the times of sunrise and sunset have been given for a small number of selected places in the standard time of each place. On account of the arbitrary correction which must be made to the mean time of any place in order to get its standard time, the tables given for a particualar place are of little use any where else, In order to remedy this the times of sunrise and sunset have been calculated for places on five different latitudes covering the populous part of Canada, (pages 10 to 21), while the way to use these tables at a large number of towns and cities is explained on pages 8 and 9. The other chief change is in the addition of fuller star maps near the end. These are on a large enough scale to locate a star or planet or comet when its right ascension and declination are given. -
Earth-Centred Universe
Earth-centred Universe The fixed stars appear on the celestial sphere Earth rotates in one sidereal day The solar day is longer by about 4 minutes → scattered sunlight obscures the stars by day The constellations are historical → learn to recognise: Ursa Major, Ursa Minor, Cassiopeia, Pegasus, Auriga, Gemini, Orion, Taurus Sun’s Motion in the Sky The Sun moves West to East against the background of Stars Stars Stars stars Us Us Us Sun Sun Sun z z z Start 1 sidereal day later 1 solar day later Compared to the stars, the Sun takes on average 3 min 56.5 sec extra to go round once The Sun does not travel quite at a constant speed, making the actual length of a solar day vary throughout the year Pleiades Stars near the Sun Sun Above the atmosphere: stars seen near the Sun by the SOHO probe Shield Sun in Taurus Image: Hyades http://sohowww.nascom.nasa.g ov//data/realtime/javagif/gifs/20 070525_0042_c3.gif Constellations Figures courtesy: K & K From The Beauty of the Heavens by C. F. Blunt (1842) The Celestial Sphere The celestial sphere rotates anti-clockwise looking north → Its fixed points are the north celestial pole and the south celestial pole All the stars on the celestial equator are above the Earth’s equator How high in the sky is the pole star? It is as high as your latitude on the Earth Motion of the Sky (animated ) Courtesy: K & K Pole Star above the Horizon To north celestial pole Zenith The latitude of Northern horizon Aberdeen is the angle at 57º the centre of the Earth A Earth shown in the diagram as 57° 57º Equator Centre The pole star is the same angle above the northern horizon as your latitude. -
Trajectory Coordinate System Information We Have Calculated the New Horizons Trajectory and Full State Vector Information in 11 Different Coordinate Systems
Trajectory Coordinate System Information We have calculated the New Horizons trajectory and full state vector information in 11 different coordinate systems. Below we describe the coordinate systems, and in the next section we describe the trajectory file format. Heliographic Inertial (HGI) This system is Sun centered with the X-axis along the intersection line of the ecliptic (zero longitude occurs at the +X-axis) and solar equatorial planes. The Z-axis is perpendicular to the solar equator, and the Y-axis completes the right-handed system. This coordinate system is also referred to as the Heliocentric Inertial (HCI) system. Heliocentric Aries Ecliptic Date (HAE-DATE) This coordinate system is heliocentric system with the Z-axis normal to the ecliptic plane and the X-axis pointes toward the first point of Aries on the Vernal Equinox, and the Y- axis completes the right-handed system. This coordinate system is also referred to as the Solar Ecliptic (SE) coordinate system. The word “Date” refers to the time at which one defines the Vernal Equinox. In this case the date observation is used. Heliocentric Aries Ecliptic J2000 (HAE-J2000) This coordinate system is heliocentric system with the Z-axis normal to the ecliptic plane and the X-axis pointes toward the first point of Aries on the Vernal Equinox, and the Y- axis completes the right-handed system. This coordinate system is also referred to as the Solar Ecliptic (SE) coordinate system. The label “J2000” refers to the time at which one defines the Vernal Equinox. In this case it is defined at the J2000 date, which is January 1, 2000 at noon. -
The Age of Aquarius by Don Cerow, NCGR IV
The Age of Aquarius by Don Cerow, NCGR IV Welcome to the Age of Aquarius.* We are a generation that is perched on the dawn of a new epoch, a new vibration. The world is changing. Everything from politics to industry to our mortgages turns on a new pivot, and we are lucky enough to be able to witness the unfolding. There are those who feel as though the Age has already begun. Others believe that the Age is not yet here, and the called for changes have not yet fully unfolded. Both are correct. As we look around us, electricity fills the air. Lights, power, technology, refrigeration, computers, smart phones, microchips, and science are all manifestations of the New Age at work, of a brave new world already (up and running). But the use of fossil fuels, oil, coal, and natural gas, the inability of Congress to get things done due to party allegiances, the growing intensity of storms and the general weather patterns, are all indications Alpha Piscium and Omega Piscium are the stars thought by Don Cerow that the Age of Pisces is not yet over. to observationally “benchmark” the Age of Pisces. We are building to a crescendo with the warming of the planet being the Revelation 22:13 says, “I am the Alpha and the Omega, the First and the Last, the Beginning and the End.” When Revelation was written in the first century AD, the substantial catalyst that inaugurates “New Age” (Pisces) stretched out before them, describing what the future would hold. these changes. -
3.- the Geographic Position of a Celestial Body
Chapter 3 Copyright © 1997-2004 Henning Umland All Rights Reserved Geographic Position and Time Geographic terms In celestial navigation, the earth is regarded as a sphere. Although this is an approximation, the geometry of the sphere is applied successfully, and the errors caused by the flattening of the earth are usually negligible (chapter 9). A circle on the surface of the earth whose plane passes through the center of the earth is called a great circle . Thus, a great circle has the greatest possible diameter of all circles on the surface of the earth. Any circle on the surface of the earth whose plane does not pass through the earth's center is called a small circle . The equator is the only great circle whose plane is perpendicular to the polar axis , the axis of rotation. Further, the equator is the only parallel of latitude being a great circle. Any other parallel of latitude is a small circle whose plane is parallel to the plane of the equator. A meridian is a great circle going through the geographic poles , the points where the polar axis intersects the earth's surface. The upper branch of a meridian is the half from pole to pole passing through a given point, e. g., the observer's position. The lower branch is the opposite half. The Greenwich meridian , the meridian passing through the center of the transit instrument at the Royal Greenwich Observatory , was adopted as the prime meridian at the International Meridian Conference in 1884. Its upper branch is the reference for measuring longitudes (0°...+180° east and 0°...–180° west), its lower branch (180°) is the basis for the International Dateline (Fig. -
Theosophical Siftings the Zodiac Vol 6, No 13 the Zodiac
Theosophical Siftings The Zodiac Vol 6, No 13 The Zodiac by S.G.P. Coryn Reprinted from "Theosophical Siftings" Volume 6 The Theosophical Publishing Society, England [Page 3] OF our nineteenth century researches into the knowledge, the science and the mythology of the ancients, there is probably no department which has given rise to discussion so animated, to speculations so varied, to conclusions often and usually so fallacious, as that of the Zodiac and its twelve signs. Nor need we greatly wonder at the interest which it has evoked. To the sincere student who wishes only for wisdom and understanding, and who does not seek to force and to bend the facts of nature into the mould of his own creed, the Zodiac promises something more than a glimpse into the secrets of the Universe. Almost insensibly to himself he is led to perceive that herein lie the mystic tracings, in divine handwriting, of the world's past and a prophecy of things to come. And on the other side, we find very much the same enthusiasm of research, but directed to the belittling of the history of the Zodiac and to a reduction of its symbology and the mysteries and the myths and the legends which have gathered around it, to the superstition of peoples who knew no written language, nor arts, nor sciences, but believed themselves able to read the signs and the tokens of the heavens above them. And justly may the champions of the creed of a day seek to diminish the importance of the Zodiac, and well may they fear the revelations which it may bring. -
COORDINATES, TIME, and the SKY John Thorstensen
COORDINATES, TIME, AND THE SKY John Thorstensen Department of Physics and Astronomy Dartmouth College, Hanover, NH 03755 This subject is fundamental to anyone who looks at the heavens; it is aesthetically and mathematically beautiful, and rich in history. Yet I'm not aware of any text which treats time and the sky at a level appropriate for the audience I meet in the more technical introductory astronomy course. The treatments I've seen either tend to be very lengthy and quite technical, as in the classic texts on `spherical astronomy', or overly simplified. The aim of this brief monograph is to explain these topics in a manner which takes advantage of the mathematics accessible to a college freshman with a good background in science and math. This math, with a few well-chosen extensions, makes it possible to discuss these topics with a good degree of precision and rigor. Students at this level who study this text carefully, work examples, and think about the issues involved can expect to master the subject at a useful level. While the mathematics used here are not particularly advanced, I caution that the geometry is not always trivial to visualize, and the definitions do require some careful thought even for more advanced students. Coordinate Systems for Direction Think for the moment of the problem of describing the direction of a star in the sky. Any star is so far away that, no matter where on earth you view it from, it appears to be in almost exactly the same direction. This is not necessarily the case for an object in the solar system; the moon, for instance, is only 60 earth radii away, so its direction can vary by more than a degree as seen from different points on earth. -
What Plato Expects from Astronomy
The Day, the Month, and the Year: What Plato Expects from Astronomy István M. Bodnár Abstract The Timaeus apparently assigns a different task to astronomy than that in the educa- tional programme set out in the Republic. There is no word about the reorientation re- quired in the Republic that astronomers should ascend to a post-observational study of “the real decorations [of the heavens]—the real movements that these move by true quickness and true slowness in true number and in all true figures in relation to each other, carrying along the things contained in them, which can be grasped by reason and thought, and not by sight.” (Republic 529d) Nevertheless, I argue that—albeit with vastly different theoretical presuppositions about perceptible entities—the Timaeus takes into consideration some of the strictures of the Republic. Similar to the way the reform of as- tronomy required in the Republic, only such observational astronomy can pass muster in the Timaeus whose major aim is to reduce the regularities of the motions of the different celestial objects to components that are connected to the fundamental motions of the World Soul. This enterprise can be claimed—within the confines of this likely story—to integrate in its fully developed form every important intellectual pursuit there is. Keywords Plato – Timaeus – observational astronomy – educational programme – celestial periods – component motions – intellect – unity of science If we compare the account of astronomy in the educational programme of the Republic and in the Timaeus, we see that in the Timaeus astronomy has taken on a central role it was not yet assigned in the Republic. -
M. A. Van Der Sluijs
Phaethon and the Great Year1 Marinus Anthony van der Sluijs 1 The Great Year The Great Year was a widespread concept in classical times. Cicero's spokesman, the Stoic Balbus, defined it as follows: On the diverse motions of the planets the mathematicians have based what they call the Great Year, which is completed when the sun, moon and five planets having all finished their courses have returned to the same positions relative to one another. The length of this period is hotly debated, but it must necessarily be a fixed and definite time.2 It was believed that the horning points of the Great Year were marked by cosmic disruptions. During the Hellenistic period, two such turning points were recognised and interpreted as the 'solstices' of the Great Year: the world would be destroyed in a flood at the onset of the cosmic winter and in a fire at the onset of the cosmic summer. The locus classicus for this belief is an excerpt from the Babyloniaca of the Babylonian priest Berossus, as cited in Seneca: 1 Without the unrelenting support of the Mainwaring Archive Foundation this article could not have been completed. I am also grateful to Ev Cochrane, Keith Hutchison, and Peter James for their very constructive thinking and suggestions. 2 Cicero, de Natura Oeorum, Ð 20 (52), tr. Rackham; cf. Somnium Sdpionis, apud Macrobius, In Somnium Sdpionis Commentanus, Ð112; Diodorus Siculus, Bibliotheca, Ð 47 6; Pliny, Naturalis Historic, Ð 6 40; Manilius, Astronomica, 1287-8; Censorinus, de Die Natali, 18; Heraclitus, Homeric Allegories, Un 3-4; also Campion 1994. -
Can We Observe X Tonight?
Massachusetts Institute of Technology Department of Earth, Atmospheric, and Planetary Sciences 12.409 Observing Stars and Planets, Spring 2002 Handout 4 week of February 11, 2002 Copyright 1999 Created S. Slivan Revised A. Rivkin and J. Thomas-Osip Can We Observe x Tonight? This is an important question to be able to answer, this being an observing subject and all. The answer to this question is “yes” only if the answer to the following 4 questions is “yes”: 1.Is the weather cooperating? 2.Is x bright enough, given our observing equipment? 3.Is the sky dark enough? 4.Is x high enough above our horizon? This handout addresses the answering of questions 2, 3, and 4, and explains how to use information published in the Astronomical Almanac to decide whether to go for a specific object at any given time. As for question 1, that's a different class... (12.310) Contents 1 Brightness Scale........................................................................................................... 2 1.1 Effects on apparent brightness ............................................................................... 3 2 Coordinate Systems...................................................................................................... 4 2.1 Terrestrial coordinates........................................................................................... 4 2.2 Celestial coordinates.............................................................................................. 5 2.3 Observer-based coordinates.................................................................................. -
Aristarchus of Samos and Graeco-Babylonian Astronomy George Huxley
Arfstarchus of Samos and Graeco-Babylonian Astronomy Huxley, George Greek, Roman and Byzantine Studies; Summer 1964; 5, 2; ProQuest pg. 123 Aristarchus of Samos and Graeco-Babylonian Astronomy George Huxley N THE HALF CENTURY following the death of Alexander the Great the I history of astronomy amongst the Greeks is dominated by Aris tarchus the Samian, who is best known for his theory of the earth's revolution about the sun. His life cannot be dated exactly, but it is clear that he was already of mature age by 280 B.C., for Ptolemy states that "the men around Aristarchus," that is to say his pupils, observed the summer solstice in that year, the 50th of the first Callippic period [Ptolemy, Almagest 3.1]. He was a pupil of Strato the Lampsacene, who succeeded Theophrastus as head of the Lyceum in ca. 288/7 B.C. [Apollodorus 244 F 40] and remained in that post for eighteen years till his death not later than 269 B.C. [Apollodorus 244 F 350]. The date of the publication of Aristarchus's heliocentric theory is not known, but the doctrine was attacked by Cleanthes the Stoic land so must have been well known by 232 B.C., when Cleanthes died; but the helio centric hypothesis may have been formulated much earlier than that. Vitruvius spoke highly of the versatility of Aristarchus in geometry, astronomy, and music [De Architectura 1.1.16], and ascribes to him the invention of two kinds of sundial-the hemispherical uKac/>T} and the disc in the plane [9.8.1].2 He perhaps made use of these improved instruments in his observations of the solstices. -
Great Year - Wikipedia
12/2/2018 Great Year - Wikipedia Great Year The term Great Year has a variety of related meanings. It is defined by NASA as "The period of one complete cycle of the equinoxes around the ecliptic, about 25,800 years ... also known as [a] Platonic Year."[1] One complete cycle of the equinoxes here means one complete cycle of axial precession. Although Plato uses the term "perfect year" to describe the return of the celestial bodies (planets) and the diurnal rotation of the fixed stars (circle of the Same) to their original positions, there is no evidence he had any knowledge of axial precession. The cycle which Plato describes is one of planetary and astral conjunction, which can be postulated without any awareness of axial precession. In fact, Hipparchus is the first Greek credited with discovering axial precession roughly two hundred years after Plato's death (see below). Cicero followed Plato in defining the Great Y ear as a combination of solar, lunar and planetary cycles.[2] (61 XX) Nicholas Campion writes of "periods of History, analogous to the solar year, known as 'Great Y ears'".[3] Plato's description of the perfect year is found in his dialogue Timaeus And so people are all but ignorant of the fact that time really is the wanderings of these bodies, bewilderingly numerous as they are and astonishingly variegated. It is none the less possible, however, to discern that the perfect number of time brings to completion the perfect year at that moment when the relative speeds of all eight periods have been completed together and, measured by the circle of the Same that moves uniformly, have achieved their consummation."[4] The 'Great Y ear' as defined by the historian Josephus is 600 years in length.