Ap Stars with Resolved Magnetically Split Lines: Stars for Which New Measurements of the Mean Magnetic field Modulus Are Presented in This Paper
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An Introduction to Quantum Field Theory
AN INTRODUCTION TO QUANTUM FIELD THEORY By Dr M Dasgupta University of Manchester Lecture presented at the School for Experimental High Energy Physics Students Somerville College, Oxford, September 2009 - 1 - - 2 - Contents 0 Prologue....................................................................................................... 5 1 Introduction ................................................................................................ 6 1.1 Lagrangian formalism in classical mechanics......................................... 6 1.2 Quantum mechanics................................................................................... 8 1.3 The Schrödinger picture........................................................................... 10 1.4 The Heisenberg picture............................................................................ 11 1.5 The quantum mechanical harmonic oscillator ..................................... 12 Problems .............................................................................................................. 13 2 Classical Field Theory............................................................................. 14 2.1 From N-point mechanics to field theory ............................................... 14 2.2 Relativistic field theory ............................................................................ 15 2.3 Action for a scalar field ............................................................................ 15 2.4 Plane wave solution to the Klein-Gordon equation ........................... -
Chapter 3 Beam Dynamics II - Longitudinal
Chapter 3 Beam Dynamics II - Longitudinal Sequences of Gaps Transit Time Factor Phase Stability Chapter 3 Longitudinal Beam Dynamics 1 The Faraday Cage Protons are confined in a conducting box, at low energy. Assume they can bounce off the walls with no energy loss. Move the switch from position A to B. The potential on the box rises from 0 to 1 MV. What is the proton energy now? Chapter 3 Longitudinal Beam Dynamics 2 The Linac Drift Tube A linear accelerator (linac) is comprised of a succession of drift tubes. These drift tubes have holes in their ends so the particles can enter and exit, and when particles are inside the drift tube, a Faraday Cage, the potential of the drift tube may vary without changing the energy of the particle. Acceleration takes place when a charged particle is subjected to a field. The field inside the Faraday cage is not affected by the potential outside. (Aside from fields generated by the protons themselves, the field inside the Faraday cage is zero.) The drift tubes are arranged in a sequence with a passage through their middle for the particles to pass. The field in the gap between the drift tubes accelerates the particles. Chapter 3 Longitudinal Beam Dynamics 3 Some Actual Linac Configurations We will look at: Sloan-Lawrence Structure (Ising, Wideroe) Alvarez Structure RFQ Structure Coupled-Cavity Structure Chapter 3 Longitudinal Beam Dynamics 4 Some Kinematics For simplicity, we will assume the particles are non-relativistic. The normalized velocity is 2T = m c2 T is the kinetic energy of the particle, mc2 is the rest mass, 938 MeV for protons. -
Fundamental Properties of Core-Collapse Supernova and GRB Progenitors: Predicting the Look of Massive Stars Before Death
A&A 558, A131 (2013) Astronomy DOI: 10.1051/0004-6361/201321906 & c ESO 2013 Astrophysics Fundamental properties of core-collapse supernova and GRB progenitors: predicting the look of massive stars before death Jose H. Groh1, Georges Meynet1, Cyril Georgy2, and Sylvia Ekström1 1 Geneva Observatory, Geneva University, Chemin des Maillettes 51, 1290 Sauverny, Switzerland e-mail: [email protected] 2 Astrophysics group, EPSAM, Keele University, Lennard-Jones Labs, ST5 5BG Keele, UK Received 16 May 2013 / Accepted 20 August 2013 ABSTRACT We investigate the fundamental properties of core-collapse supernova (SN) progenitors from single stars at solar metallicity. For this purpose, we combine Geneva stellar evolutionary models with initial masses of Mini = 20−120 M with atmospheric and wind models using the radiative transfer code CMFGEN. We provide synthetic photometry and high-resolution spectra of hot stars at the pre-SN stage. For models with Mini = 9−20 M, we supplement our analysis using publicly available MARCS model atmospheres of RSGs to estimate their synthetic photometry. We employ well-established observational criteria of spectroscopic classification and find that, depending on their initial mass and rotation, massive stars end their lives as red supergiants (RSG), yellow hypergiants (YHG), luminous blue variables (LBV), and Wolf-Rayet (WR) stars of the WN and WO spectral types. For rotating models, we obtained the + following types of SN progenitors: WO1–3 (Mini ≥ 32 M), WN10–11 (25 < Mini < 32 M), LBV (20 ≤ Mini ≤ 25 M), G1 Ia (18 < Mini < 20 M), and RSGs (9 ≤ Mini ≤ 18 M). For non-rotating models, we found spectral types WO1–3 (Mini > 40 M), WN7–8 (25 < Mini ≤ 40 M), WN11h/LBV (20 < Mini ≤ 25 M), and RSGs (9 ≤ Mini ≤ 20 M). -
Stars and Their Spectra: an Introduction to the Spectral Sequence Second Edition James B
Cambridge University Press 978-0-521-89954-3 - Stars and Their Spectra: An Introduction to the Spectral Sequence Second Edition James B. Kaler Index More information Star index Stars are arranged by the Latin genitive of their constellation of residence, with other star names interspersed alphabetically. Within a constellation, Bayer Greek letters are given first, followed by Roman letters, Flamsteed numbers, variable stars arranged in traditional order (see Section 1.11), and then other names that take on genitive form. Stellar spectra are indicated by an asterisk. The best-known proper names have priority over their Greek-letter names. Spectra of the Sun and of nebulae are included as well. Abell 21 nucleus, see a Aurigae, see Capella Abell 78 nucleus, 327* ε Aurigae, 178, 186 Achernar, 9, 243, 264, 274 z Aurigae, 177, 186 Acrux, see Alpha Crucis Z Aurigae, 186, 269* Adhara, see Epsilon Canis Majoris AB Aurigae, 255 Albireo, 26 Alcor, 26, 177, 241, 243, 272* Barnard’s Star, 129–130, 131 Aldebaran, 9, 27, 80*, 163, 165 Betelgeuse, 2, 9, 16, 18, 20, 73, 74*, 79, Algol, 20, 26, 176–177, 271*, 333, 366 80*, 88, 104–105, 106*, 110*, 113, Altair, 9, 236, 241, 250 115, 118, 122, 187, 216, 264 a Andromedae, 273, 273* image of, 114 b Andromedae, 164 BDþ284211, 285* g Andromedae, 26 Bl 253* u Andromedae A, 218* a Boo¨tis, see Arcturus u Andromedae B, 109* g Boo¨tis, 243 Z Andromedae, 337 Z Boo¨tis, 185 Antares, 10, 73, 104–105, 113, 115, 118, l Boo¨tis, 254, 280, 314 122, 174* s Boo¨tis, 218* 53 Aquarii A, 195 53 Aquarii B, 195 T Camelopardalis, -
Variation of the Magnetic Field of the Ap Star HD 50169 Over Its 29-Year
A&A 624, A32 (2019) Astronomy https://doi.org/10.1051/0004-6361/201834706 & c ESO 2019 Astrophysics Variation of the magnetic field of the Ap star HD 50169 over its 29-year rotation period? G. Mathys1, I. I. Romanyuk2,3, S. Hubrig4, D. O. Kudryavtsev2, J. D. Landstreet5,6, M. Schöller7, E. A. Semenko2, and I. A. Yakunin2 1 European Southern Observatory, Alonso de Cordova 3107, Vitacura, Santiago, Chile e-mail: [email protected] 2 Special Astrophysical Observatory, Russian Academy of Sciences, Nizhnii Arkhyz 369167, Russia 3 Institute of Astronomy of the Russian Academy of Sciences, 48 Pyatnitskaya St, 119017 Moscow, Russia 4 Leibniz-Institut für Astrophysik Potsdam (AIP), An der Sternwarte 16, 14482 Potsdam, Germany 5 Department of Physics & Astronomy, University of Western Ontario, 1151 Richmond Street, London, Ontario N6A 3K7, Canada 6 Armagh Observatory, College Hill, Armagh BT61 9DG, UK 7 European Southern Observatory, Karl-Schwarzschild-Str. 2, 85748 Garching bei München, Germany Received 22 November 2018 / Accepted 14 February 2019 ABSTRACT Context. The Ap stars that rotate extremely slowly, with periods of decades to centuries, represent one of the keys to the understanding of the processes leading to the differentiation of stellar rotation. Aims. We characterise the variations of the magnetic field of the Ap star HD 50169 and derive constraints about its structure. Methods. We combined published measurements of the mean longitudinal field hBzi of HD 50169 with new determinations of this field moment from circular spectropolarimetry obtained at the 6m telescope BTA of the Special Astrophysical Observatory of the Russian Academy of Sciences. For the mean magnetic field modulus hBi, literature data were complemented by the analysis of ESO spectra, both newly acquired and from the archive. -
GEORGE HERBIG and Early Stellar Evolution
GEORGE HERBIG and Early Stellar Evolution Bo Reipurth Institute for Astronomy Special Publications No. 1 George Herbig in 1960 —————————————————————– GEORGE HERBIG and Early Stellar Evolution —————————————————————– Bo Reipurth Institute for Astronomy University of Hawaii at Manoa 640 North Aohoku Place Hilo, HI 96720 USA . Dedicated to Hannelore Herbig c 2016 by Bo Reipurth Version 1.0 – April 19, 2016 Cover Image: The HH 24 complex in the Lynds 1630 cloud in Orion was discov- ered by Herbig and Kuhi in 1963. This near-infrared HST image shows several collimated Herbig-Haro jets emanating from an embedded multiple system of T Tauri stars. Courtesy Space Telescope Science Institute. This book can be referenced as follows: Reipurth, B. 2016, http://ifa.hawaii.edu/SP1 i FOREWORD I first learned about George Herbig’s work when I was a teenager. I grew up in Denmark in the 1950s, a time when Europe was healing the wounds after the ravages of the Second World War. Already at the age of 7 I had fallen in love with astronomy, but information was very hard to come by in those days, so I scraped together what I could, mainly relying on the local library. At some point I was introduced to the magazine Sky and Telescope, and soon invested my pocket money in a subscription. Every month I would sit at our dining room table with a dictionary and work my way through the latest issue. In one issue I read about Herbig-Haro objects, and I was completely mesmerized that these objects could be signposts of the formation of stars, and I dreamt about some day being able to contribute to this field of study. -
World Health Organization, Extremely Low Frequency Fields, 2007
This report contains the collective views of an international group of experts and does not necessarily represent the decisions or the stated policy of the International Commission of Non- Ionizing Radiation Protection, the International Labour Organization, or the World Health Organization. Environmental Health Criteria 238 EXTREMELY LOW FREQUENCY FIELDS Published under the joint sponsorship of the International Labour Organization, the International Commission on Non-Ionizing Radiation Protection, and the World Health Organization. WHO Library Cataloguing-in-Publication Data Extremely low frequency fields. (Environmental health criteria ; 238) 1.Electromagnetic fields. 2.Radiation effects. 3.Risk assessment. 4.Envi- ronmental exposure. I.World Health Organization. II.Inter-Organization Programme for the Sound Management of Chemicals. III.Series. ISBN 978 92 4 157238 5 (NLM classification: QT 34) ISSN 0250-863X © World Health Organization 2007 All rights reserved. Publications of the World Health Organization can be obtained from WHO Press, World Health Organization, 20 Avenue Appia, 1211 Geneva 27, Switzerland (tel.: +41 22 791 3264; fax: +41 22 791 4857; e- mail: [email protected]). Requests for permission to reproduce or translate WHO publications – whether for sale or for noncommercial distribution – should be addressed to WHO Press, at the above address (fax: +41 22 791 4806; e-mail: [email protected]). The designations employed and the presentation of the material in this publication do not imply the expression of any opinion whatsoever on the part of the World Health Organization concerning the legal status of any country, territory, city or area or of its authorities, or concerning the delimitation of its frontiers or boundaries. -
Astronomical Coordinate Systems
Appendix 1 Astronomical Coordinate Systems A basic requirement for studying the heavens is being able to determine where in the sky things are located. To specify sky positions, astronomers have developed several coordinate systems. Each sys- tem uses a coordinate grid projected on the celestial sphere, which is similar to the geographic coor- dinate system used on the surface of the Earth. The coordinate systems differ only in their choice of the fundamental plane, which divides the sky into two equal hemispheres along a great circle (the fundamental plane of the geographic system is the Earth’s equator). Each coordinate system is named for its choice of fundamental plane. The Equatorial Coordinate System The equatorial coordinate system is probably the most widely used celestial coordinate system. It is also the most closely related to the geographic coordinate system because they use the same funda- mental plane and poles. The projection of the Earth’s equator onto the celestial sphere is called the celestial equator. Similarly, projecting the geographic poles onto the celestial sphere defines the north and south celestial poles. However, there is an important difference between the equatorial and geographic coordinate sys- tems: the geographic system is fixed to the Earth and rotates as the Earth does. The Equatorial system is fixed to the stars, so it appears to rotate across the sky with the stars, but it’s really the Earth rotating under the fixed sky. The latitudinal (latitude-like) angle of the equatorial system is called declination (Dec. for short). It measures the angle of an object above or below the celestial equator. -
5 Geomagnetism and Paleomagnetism
5 Geomagnetism and paleomagnetism It is not known when the directive power of the magnet 5.1 HISTORICAL INTRODUCTION - its ability to align consistently north-south - was first recognized. Early in the Han dynasty, between 300 and 5.1.1 The discovery of magnetism 200 BC, the Chinese fashioned a rudimentary compass Mankind's interest in magnetism began as a fascination out of lodestone. It consisted of a spoon-shaped object, with the curious attractive properties of the mineral lode whose bowl balanced and could rotate on a flat polished stone, a naturally occurring form of magnetite. Called surface. This compass may have been used in the search loadstone in early usage, the name derives from the old for gems and in the selection of sites for houses. Before English word load, meaning "way" or "course"; the load 1000 AD the Chinese had developed suspended and stone was literally a stone which showed a traveller the pivoted-needle compasses. Their directive power led to the way. use of compasses for navigation long before the origin of The earliest observations of magnetism were made the aligning forces was understood. As late as the twelfth before accurate records of discoveries were kept, so that century, it was supposed in Europe that the alignment of it is impossible to be sure of historical precedents. the compass arose from its attempt to follow the pole star. Nevertheless, Greek philosophers wrote about lodestone It was later shown that the compass alignment was pro around 800 BC and its properties were known to the duced by a property of the Earth itself. -
Geomagnetic Impulses and the Electrical Conductivity of the Lower
This copy has been supplied on the understanding that it is copyright material and that no quotation from the thesis may be published without proper acknowledgement. The right of Douglas Norman Stewart to be identified as Author of this work has been asserted by him in accordance with the Copyright, Designs and Patents Act 1988. © 1991 The University of Leeds and Douglas Norman Stewart Geomagnetic Impulses and the Electrical Conductivity of the Lower Mantle by Douglas Norman Stewart Submitted in accordance with the requirements for the degree of Doctor of Philosophy The University of Leeds, Department of Earth Sciences, December, 1991 The candidate confirms that the work submittedis his own and that appropriate credit has been given where reference has been made to the work of others. 11 Abstract This thesis is an investigation of the changes in the magnetic field as measured at the surface of the Earth on the time-scale of months to decades. In particular the phenomena of geomagnetic "impulses" or "jerks" are investigated. Vigorous discussion has surrounded these phenomena since they were first suggested to have been of global scale, of short duration and originating within the core (Courtillot et a/, 1978), primarily because of their implications for lower mantle conductivity. A major point of discussion has been whether they were of internal or external origin, and to what extent external fields determine their apparent time-scale. A large quantity of monthly means of the geomagnetic field is analysed here to investigate the contribution from external and induced fields. A model of the disturbance fields on the time-scale of months and years is derived. -
Fundamentals of Electromagnetics for Electrical and Computer Engineering
Rao Fundamentals of for Electrical and Computer Engineering Fundamentals of Electromagnetics Electromagnetics for Fundamentals of Electrical and Electromagnetics for Computer Engineering Nannapaneni Narayana Rao Electrical and This compact, one-semester textbook introduces the fundamental concepts of electromagnetics for the technologies of electrical and computer engineering. It combines the approach of beginning Computer Engineering with Maxwell’s equations for time-varying fields with the treatment of the different categories of fields as solutions to Maxwell’s equations and uses the thread of statics-quasistatics-waves to bring out the frequency behavior of physical structures. The text develops the bulk of the material through the use of the Cartesian coordinate system to Nannapaneni Narayana Rao keep the geometry simple and compassionate, yet sufficient to learn the physical concepts and mathematical tools, while employing other coordinate systems where necessary. HIGHLIGHTS INCLUDE: • A unique introduction of Maxwell’s equations for time-varying fields collectively, first in integral form and then in differential form • Introduction of uniform plane wave propagation in free space following Maxwell’s equations, and then introducing materials by considering their interaction with uniform plane wave fields • Development of the transmission line and the distributed circuit concept following from the dis- cussion of the frequency behavior of physical structures • Coverage of the essentials of transmission line analysis in one chapter -
Analysis of Streamer Propagation in Atmospheric Air Manfred Heiszler Iowa State University
Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 1971 Analysis of streamer propagation in atmospheric air Manfred Heiszler Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Electrical and Electronics Commons Recommended Citation Heiszler, Manfred, "Analysis of streamer propagation in atmospheric air " (1971). Retrospective Theses and Dissertations. 4459. https://lib.dr.iastate.edu/rtd/4459 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. 72-5207 HEISZLER, Manfred, 1941- ANALYSIS OF STREAMER PROPAGATION IN ATMOSPHERIC AIR. Iowa State University, Ph.D., 1971 Engineering, electrical t University Microfilms. A XERDK Company, Ann Arbor, Michigan THIS DISSERTATION HAS BEEN MICROFILMED EXACTLY AS RECEIVED Analysis of streamer propagation in atmospheric air by Manfred Heiszler A Dissertation Submitted to the Graduate Faculty in Partial Fulfillment of The Requirements for the Degree of DOCTOR OF PHILOSOPHY Major Subject: Electrical Engineering Approved: Signature was redacted for privacy. In Charge of Major Work Signature was redacted for privacy. For the Major Department Signature was redacted for privacy. For the Graduate College Iowa State University Of Science and Technology Ames, lawa 1971 ii TABLE OF CCOTENTS Page I. INTRODUCTION 1 II. REVIEW OF LITERATURE 4 A. The General Streamer Model 4 B. The Critical Avalanche 6 C. The Burst Pulse and Streamer Onset 9 D.