Absolute Brightness: the Apparent Brightness a Star Would Have If It Were Placed at a Standard Distance of 10 Parsecs from Earth
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
1 Lecture 26
PHYS 445 Lecture 26 - Black-body radiation I 26 - 1 Lecture 26 - Black-body radiation I What's Important: · number density · energy density Text: Reif In our previous discussion of photons, we established that the mean number of photons with energy i is 1 n = (26.1) i eß i - 1 Here, the questions that we want to address about photons are: · what is their number density · what is their energy density · what is their pressure? Number density n Eq. (26.1) is written in the language of discrete states. The first thing we need to do is replace the sum by an integral over photon momentum states: 3 S i ® ò d p Of course, it isn't quite this simple because the density-of-states issue that we introduced before: for every spin state there is one phase space state for every h 3, so the proper replacement more like 3 3 3 S i ® (1/h ) ò d p ò d r The units now work: the left hand side is a number, and so is the right hand side. But this expression ignores spin - it just deals with the states in phase space. For every photon momentum, there are two ways of arranging its polarization (i.e., the orientation of its electric or magnetic field vectors): where the photon momentum vector is perpendicular to the plane. Thus, we have 3 3 3 S i ® (2/h ) ò d p ò d r. (26.2) Assuming that our system is spatially uniform, the position integral can be replaced by the volume ò d 3r = V. -
Star Formation and Mass Assembly in High Redshift Galaxies
A&A 504, 751–767 (2009) Astronomy DOI: 10.1051/0004-6361/200811434 & c ESO 2009 Astrophysics Star formation and mass assembly in high redshift galaxies P. Santini1,2,A.Fontana1, A. Grazian1,S.Salimbeni1,3, F. Fiore1, F. Fontanot4, K. Boutsia1, M. Castellano1,2, S. Cristiani5, C. De Santis6,7, S. Gallozzi1, E. Giallongo1, N. Menci1, M. Nonino5, D. Paris1, L. Pentericci1, and E. Vanzella5 1 INAF – Osservatorio Astronomico di Roma, via Frascati 33, 00040 Monteporzio (RM), Italy e-mail: [email protected] 2 Dipartimento di Fisica, Università di Roma “La Sapienza”, P.le A. Moro 2, 00185 Roma, Italy 3 Department of Astronomy, University of Massachusetts, 710 North Pleasant Street, Amherst, MA 01003, USA 4 MPIA Max-Planck-Institute für Astronomie, Koenigstuhl 17, 69117 Heidelberg, Germany 5 INAF – Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, 34131 Trieste, Italy 6 Dip. di Fisica, Università Tor Vergata, via della Ricerca Scientifica 1, 00133 Roma, Italy 7 INFN – Roma Tor Vergata, via della Ricerca Scientifica 1, 00133 Roma, Italy Received 27 November 2008 / Accepted 24 April 2009 ABSTRACT Aims. The goal of this work is to infer the star formation properties and the mass assembly process of high redshift (0.3 ≤ z < 2.5) galaxies from their IR emission using the 24 μm band of MIPS-Spitzer. Methods. We used an updated version of the GOODS-MUSIC catalog, which has multiwavelength coverage from 0.3 to 24 μmand either spectroscopic or accurate photometric redshifts. We describe how the catalog has been extended by the addition of mid-IR fluxes derived from the MIPS 24 μm image. -
Quantity Symbol Value One Astronomical Unit 1 AU 1.50 × 10
Quantity Symbol Value One Astronomical Unit 1 AU 1:50 × 1011 m Speed of Light c 3:0 × 108 m=s One parsec 1 pc 3.26 Light Years One year 1 y ' π × 107 s One Light Year 1 ly 9:5 × 1015 m 6 Radius of Earth RE 6:4 × 10 m Radius of Sun R 6:95 × 108 m Gravitational Constant G 6:67 × 10−11m3=(kg s3) Part I. 1. Describe qualitatively the funny way that the planets move in the sky relative to the stars. Give a qualitative explanation as to why they move this way. 2. Draw a set of pictures approximately to scale showing the sun, the earth, the moon, α-centauri, and the milky way and the spacing between these objects. Give an ap- proximate size for all the objects you draw (for example example next to the moon put Rmoon ∼ 1700 km) and the distances between the objects that you draw. Indicate many times is one picture magnified relative to another. Important: More important than the size of these objects is the relative distance between these objects. Thus for instance you may wish to show the sun and the earth on the same graph, with the circles for the sun and the earth having the correct ratios relative to to the spacing between the sun and the earth. 3. A common unit of distance in Astronomy is a parsec. 1 pc ' 3:1 × 1016m ' 3:3 ly (a) Explain how such a curious unit of measure came to be defined. Why is it called parsec? (b) What is the distance to the nearest stars and how was this distance measured? 4. -
Lecture 5. Interstellar Dust: Optical Properties
Lecture 5. Interstellar Dust: Optical Properties 1. Introduction 2. Extinction 3. Mie Scattering 4. Dust to Gas Ratio 5. Appendices References Spitzer Ch. 7, Osterbrock Ch. 7 DC Whittet, Dust in the Galactic Environment (IoP, 2002) E Krugel, Physics of Interstellar Dust (IoP, 2003) B Draine, ARAA, 41, 241, 2003 1. Introduction: Brief History of Dust Nebular gas long accepted but existence of absorbing interstellar dust controversial. Herschel (1738-1822) found few stars in some directions, later extensively demonstrated by Barnard’s photos of dark clouds. Trumpler (PASP 42 214 1930) conclusively demonstrated interstellar absorption by comparing luminosity distances & angular diameter distances for open clusters: • Angular diameter distances are systematically smaller • Discrepancy grows with distance • Distant clusters are redder • Estimated ~ 2 mag/kpc absorption • Attributed it to Rayleigh scattering by gas Some of the Evidence for Interstellar Dust Extinction (reddening of bright stars, dark clouds) Polarization of starlight Scattering (reflection nebulae) Continuum IR emission Depletion of refractory elements from the gas Dust is also observed in the winds of AGB stars, SNRs, young stellar objects (YSOs), comets, interplanetary Dust particles (IDPs), and in external galaxies. The extinction varies continuously with wavelength and requires macroscopic absorbers (or “dust” particles). Examples of the Effects of Dust Extinction B68 Scattering - Pleiades Extinction: Some Definitions Optical depth, cross section, & efficiency: ext ext ext τ λ = ∫ ndustσ λ ds = σ λ ∫ ndust 2 = πa Qext (λ) Ndust nd is the volumetric dust density The magnitude of the extinction Aλ : ext I(λ) = I0 (λ) exp[−τ λ ] Aλ =−2.5log10 []I(λ)/I0(λ) ext ext = 2.5log10(e)τ λ =1.086τ λ 2. -
Star Planet Moon (Or Satellite)
1/17/12 " Chapter 1" 1) WhatStar is this? Our Place in the Universe A large, glowing ball of gas that generates heat and light through nuclear fusion 2) WhatPlanet is this? Moon3)What (or issatellite) this? An object that orbits a planet. Mars Neptune A moderately large object that orbits a star; it shines by reflected light. May be rocky, icy, or Ganymede (orbits Jupiter) gaseous in composition. 1 1/17/12 4) AsteroidWhat is this? 5) WhatComet is this? A relatively A relatively small small and icy and rocky object object that orbits a star. that orbits a star. Ida 6)WhatStar System is this? 7) WhatNebula is this? A star and all the material that orbits it, including its planets and moons An interstellar cloud of gas and/or dust 2 1/17/12 8) WhatGalaxy is this? A great island of stars in space, all held 9) UniverseWhat is this? together by gravity and orbiting a common center The sum total of all matter and energy; that is, everything within and between all galaxies M31, The Great Galaxy in Andromeda What is our place in the universe? How did we come to be? 3 1/17/12 How can we know what the universe was like in the past? Example: • Light travels at a finite speed (300,000 km/s). We see the Orion Nebula as it Destination Light travel time looked 1,500 Moon 1 second years ago. Sun 8 minutes Nearest Star 4 years Andromeda Galaxy 2.5 million years • Thus, we see objects as they were in the past: The farther away we look in distance, ! the further back we look in time. -
Introduction to Astronomy from Darkness to Blazing Glory
Introduction to Astronomy From Darkness to Blazing Glory Published by JAS Educational Publications Copyright Pending 2010 JAS Educational Publications All rights reserved. Including the right of reproduction in whole or in part in any form. Second Edition Author: Jeffrey Wright Scott Photographs and Diagrams: Credit NASA, Jet Propulsion Laboratory, USGS, NOAA, Aames Research Center JAS Educational Publications 2601 Oakdale Road, H2 P.O. Box 197 Modesto California 95355 1-888-586-6252 Website: http://.Introastro.com Printing by Minuteman Press, Berkley, California ISBN 978-0-9827200-0-4 1 Introduction to Astronomy From Darkness to Blazing Glory The moon Titan is in the forefront with the moon Tethys behind it. These are two of many of Saturn’s moons Credit: Cassini Imaging Team, ISS, JPL, ESA, NASA 2 Introduction to Astronomy Contents in Brief Chapter 1: Astronomy Basics: Pages 1 – 6 Workbook Pages 1 - 2 Chapter 2: Time: Pages 7 - 10 Workbook Pages 3 - 4 Chapter 3: Solar System Overview: Pages 11 - 14 Workbook Pages 5 - 8 Chapter 4: Our Sun: Pages 15 - 20 Workbook Pages 9 - 16 Chapter 5: The Terrestrial Planets: Page 21 - 39 Workbook Pages 17 - 36 Mercury: Pages 22 - 23 Venus: Pages 24 - 25 Earth: Pages 25 - 34 Mars: Pages 34 - 39 Chapter 6: Outer, Dwarf and Exoplanets Pages: 41-54 Workbook Pages 37 - 48 Jupiter: Pages 41 - 42 Saturn: Pages 42 - 44 Uranus: Pages 44 - 45 Neptune: Pages 45 - 46 Dwarf Planets, Plutoids and Exoplanets: Pages 47 -54 3 Chapter 7: The Moons: Pages: 55 - 66 Workbook Pages 49 - 56 Chapter 8: Rocks and Ice: -
Could a Nearby Supernova Explosion Have Caused a Mass Extinction? JOHN ELLIS* and DAVID N
Proc. Natl. Acad. Sci. USA Vol. 92, pp. 235-238, January 1995 Astronomy Could a nearby supernova explosion have caused a mass extinction? JOHN ELLIS* AND DAVID N. SCHRAMMtt *Theoretical Physics Division, European Organization for Nuclear Research, CH-1211, Geneva 23, Switzerland; tDepartment of Astronomy and Astrophysics, University of Chicago, 5640 South Ellis Avenue, Chicago, IL 60637; and *National Aeronautics and Space Administration/Fermilab Astrophysics Center, Fermi National Accelerator Laboratory, Batavia, IL 60510 Contributed by David N. Schramm, September 6, 1994 ABSTRACT We examine the possibility that a nearby the solar constant, supernova explosions, and meteorite or supernova explosion could have caused one or more of the comet impacts that could be due to perturbations of the Oort mass extinctions identified by paleontologists. We discuss the cloud. The first of these has little experimental support. possible rate of such events in the light of the recent suggested Nemesis (4), a conjectured binary companion of the Sun, identification of Geminga as a supernova remnant less than seems to have been excluded as a mechanism for the third,§ 100 parsec (pc) away and the discovery ofa millisecond pulsar although other possibilities such as passage of the solar system about 150 pc away and observations of SN 1987A. The fluxes through the galactic plane may still be tenable. The supernova of y-radiation and charged cosmic rays on the Earth are mechanism (6, 7) has attracted less research interest than some estimated, and their effects on the Earth's ozone layer are of the others, perhaps because there has not been a recent discussed. -
• Classifying Stars: HR Diagram • Luminosity, Radius, and Temperature • “Vogt-Russell” Theorem • Main Sequence • Evolution on the HR Diagram
Stars • Classifying stars: HR diagram • Luminosity, radius, and temperature • “Vogt-Russell” theorem • Main sequence • Evolution on the HR diagram Classifying stars • We now have two properties of stars that we can measure: – Luminosity – Color/surface temperature • Using these two characteristics has proved extraordinarily effective in understanding the properties of stars – the Hertzsprung- Russell (HR) diagram If we plot lots of stars on the HR diagram, they fall into groups These groups indicate types of stars, or stages in the evolution of stars Luminosity classes • Class Ia,b : Supergiant • Class II: Bright giant • Class III: Giant • Class IV: Sub-giant • Class V: Dwarf The Sun is a G2 V star Luminosity versus radius and temperature A B R = R R = 2 RSun Sun T = T T = TSun Sun Which star is more luminous? Luminosity versus radius and temperature A B R = R R = 2 RSun Sun T = T T = TSun Sun • Each cm2 of each surface emits the same amount of radiation. • The larger stars emits more radiation because it has a larger surface. It emits 4 times as much radiation. Luminosity versus radius and temperature A1 B R = RSun R = RSun T = TSun T = 2TSun Which star is more luminous? The hotter star is more luminous. Luminosity varies as T4 (Stefan-Boltzmann Law) Luminosity Law 2 4 LA = RATA 2 4 LB RBTB 1 2 If star A is 2 times as hot as star B, and the same radius, then it will be 24 = 16 times as luminous. From a star's luminosity and temperature, we can calculate the radius. -
SHELL BURNING STARS: Red Giants and Red Supergiants
SHELL BURNING STARS: Red Giants and Red Supergiants There is a large variety of stellar models which have a distinct core – envelope structure. While any main sequence star, or any white dwarf, may be well approximated with a single polytropic model, the stars with the core – envelope structure may be approximated with a composite polytrope: one for the core, another for the envelope, with a very large difference in the “K” constants between the two. This is a consequence of a very large difference in the specific entropies between the core and the envelope. The original reason for the difference is due to a jump in chemical composition. For example, the core may have no hydrogen, and mostly helium, while the envelope may be hydrogen rich. As a result, there is a nuclear burning shell at the bottom of the envelope; hydrogen burning shell in our example. The heat generated in the shell is diffusing out with radiation, and keeps the entropy very high throughout the envelope. The core – envelope structure is most pronounced when the core is degenerate, and its specific entropy near zero. It is supported against its own gravity with the non-thermal pressure of degenerate electron gas, while all stellar luminosity, and all entropy for the envelope, are provided by the shell source. A common property of stars with well developed core – envelope structure is not only a very large jump in specific entropy but also a very large difference in pressure between the center, Pc, the shell, Psh, and the photosphere, Pph. Of course, the two characteristics are closely related to each other. -
Reuters Institute Digital News Report 2020
Reuters Institute Digital News Report 2020 Reuters Institute Digital News Report 2020 Nic Newman with Richard Fletcher, Anne Schulz, Simge Andı, and Rasmus Kleis Nielsen Supported by Surveyed by © Reuters Institute for the Study of Journalism Reuters Institute for the Study of Journalism / Digital News Report 2020 4 Contents Foreword by Rasmus Kleis Nielsen 5 3.15 Netherlands 76 Methodology 6 3.16 Norway 77 Authorship and Research Acknowledgements 7 3.17 Poland 78 3.18 Portugal 79 SECTION 1 3.19 Romania 80 Executive Summary and Key Findings by Nic Newman 9 3.20 Slovakia 81 3.21 Spain 82 SECTION 2 3.22 Sweden 83 Further Analysis and International Comparison 33 3.23 Switzerland 84 2.1 How and Why People are Paying for Online News 34 3.24 Turkey 85 2.2 The Resurgence and Importance of Email Newsletters 38 AMERICAS 2.3 How Do People Want the Media to Cover Politics? 42 3.25 United States 88 2.4 Global Turmoil in the Neighbourhood: 3.26 Argentina 89 Problems Mount for Regional and Local News 47 3.27 Brazil 90 2.5 How People Access News about Climate Change 52 3.28 Canada 91 3.29 Chile 92 SECTION 3 3.30 Mexico 93 Country and Market Data 59 ASIA PACIFIC EUROPE 3.31 Australia 96 3.01 United Kingdom 62 3.32 Hong Kong 97 3.02 Austria 63 3.33 Japan 98 3.03 Belgium 64 3.34 Malaysia 99 3.04 Bulgaria 65 3.35 Philippines 100 3.05 Croatia 66 3.36 Singapore 101 3.06 Czech Republic 67 3.37 South Korea 102 3.07 Denmark 68 3.38 Taiwan 103 3.08 Finland 69 AFRICA 3.09 France 70 3.39 Kenya 106 3.10 Germany 71 3.40 South Africa 107 3.11 Greece 72 3.12 Hungary 73 SECTION 4 3.13 Ireland 74 References and Selected Publications 109 3.14 Italy 75 4 / 5 Foreword Professor Rasmus Kleis Nielsen Director, Reuters Institute for the Study of Journalism (RISJ) The coronavirus crisis is having a profound impact not just on Our main survey this year covered respondents in 40 markets, our health and our communities, but also on the news media. -
The Formation of Brown Dwarfs 459
Whitworth et al.: The Formation of Brown Dwarfs 459 The Formation of Brown Dwarfs: Theory Anthony Whitworth Cardiff University Matthew R. Bate University of Exeter Åke Nordlund University of Copenhagen Bo Reipurth University of Hawaii Hans Zinnecker Astrophysikalisches Institut, Potsdam We review five mechanisms for forming brown dwarfs: (1) turbulent fragmentation of molec- ular clouds, producing very-low-mass prestellar cores by shock compression; (2) collapse and fragmentation of more massive prestellar cores; (3) disk fragmentation; (4) premature ejection of protostellar embryos from their natal cores; and (5) photoerosion of pre-existing cores over- run by HII regions. These mechanisms are not mutually exclusive. Their relative importance probably depends on environment, and should be judged by their ability to reproduce the brown dwarf IMF, the distribution and kinematics of newly formed brown dwarfs, the binary statis- tics of brown dwarfs, the ability of brown dwarfs to retain disks, and hence their ability to sustain accretion and outflows. This will require more sophisticated numerical modeling than is presently possible, in particular more realistic initial conditions and more realistic treatments of radiation transport, angular momentum transport, and magnetic fields. We discuss the mini- mum mass for brown dwarfs, and how brown dwarfs should be distinguished from planets. 1. INTRODUCTION form a smooth continuum with those of low-mass H-burn- ing stars. Understanding how brown dwarfs form is there- The existence of brown dwarfs was first proposed on the- fore the key to understanding what determines the minimum oretical grounds by Kumar (1963) and Hayashi and Nakano mass for star formation. In section 3 we review the basic (1963). -
Essay on Optics
Essay on Optics by Émilie du Châtelet translated, with notes, by Bryce Gessell published by LICENSE AND CITATION INFORMATION 2019 © Bryce Gessell This work is licensed by the copyright holder under a Creative Commons Attribution-NonCommercial 4.0 International License. Published by Project Vox http://projectvox.org How to cite this text: Du Châtelet, Emilie. Essay on Optics. Translated by Bryce Gessell. Project Vox. Durham, NC: Duke University Libraries, 2019. http://projectvox.org/du-chatelet-1706-1749/texts/essay-on-optics This translation is based on the copy of Du Châtelet’s Essai sur l’Optique located in the Universitätsbibliothek Basel (L I a 755, fo. 230–265). The original essay was transcribed and edited in 2017 by Bryce Gessell, Fritz Nagel, and Andrew Janiak, and published on Project Vox (http://projectvox.org/du-chatelet-1706-1749/texts/essai-sur-loptique). 2 This work is governed by a CC BY-NC 4.0 license. You may share or adapt the work if you give credit, link to the license, and indicate changes. You may not use the work for commercial purposes. See creativecommons.org for details. CONTENTS License and Citation Information 2 Editor’s Introduction to the Essay and the Translation 4 Essay on Optics Introduction 7 Essay on Optics Chapter 1: On Light 8 Essay on Optics Chapter 2: On Transparent Bodies, and on the Causes of Transparence 11 Essay on Optics Chapter 3: On Opacity, and on Opaque Bodies 28 Essay on Optics Chapter 4: On the Formation of Colors 37 Appendix 1: Figures for Essay on Optics 53 Appendix 2: Daniel II Bernoulli’s Note 55 Appendix 3: Figures from Musschenbroek’s Elementa Physicae (1734) 56 Appendix 4: Figures from Newton’s Principia Mathematica (1726) 59 3 This work is governed by a CC BY-NC 4.0 license.