How Far to a Star ? Astronomical Distances Astronomical Distances
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Solar Radius Determined from PICARD/SODISM Observations and Extremely Weak Wavelength Dependence in the Visible and the Near-Infrared
A&A 616, A64 (2018) https://doi.org/10.1051/0004-6361/201832159 Astronomy c ESO 2018 & Astrophysics Solar radius determined from PICARD/SODISM observations and extremely weak wavelength dependence in the visible and the near-infrared M. Meftah1, T. Corbard2, A. Hauchecorne1, F. Morand2, R. Ikhlef2, B. Chauvineau2, C. Renaud2, A. Sarkissian1, and L. Damé1 1 Université Paris Saclay, Sorbonne Université, UVSQ, CNRS, LATMOS, 11 Boulevard d’Alembert, 78280 Guyancourt, France e-mail: [email protected] 2 Université de la Côte d’Azur, Observatoire de la Côte d’Azur (OCA), CNRS, Boulevard de l’Observatoire, 06304 Nice, France Received 23 October 2017 / Accepted 9 May 2018 ABSTRACT Context. In 2015, the International Astronomical Union (IAU) passed Resolution B3, which defined a set of nominal conversion constants for stellar and planetary astronomy. Resolution B3 defined a new value of the nominal solar radius (RN = 695 700 km) that is different from the canonical value used until now (695 990 km). The nominal solar radius is consistent with helioseismic estimates. Recent results obtained from ground-based instruments, balloon flights, or space-based instruments highlight solar radius values that are significantly different. These results are related to the direct measurements of the photospheric solar radius, which are mainly based on the inflection point position methods. The discrepancy between the seismic radius and the photospheric solar radius can be explained by the difference between the height at disk center and the inflection point of the intensity profile on the solar limb. At 535.7 nm (photosphere), there may be a difference of 330 km between the two definitions of the solar radius. -
2. Astrophysical Constants and Parameters
2. Astrophysical constants 1 2. ASTROPHYSICAL CONSTANTS AND PARAMETERS Table 2.1. Revised May 2010 by E. Bergren and D.E. Groom (LBNL). The figures in parentheses after some values give the one standard deviation uncertainties in the last digit(s). Physical constants are from Ref. 1. While every effort has been made to obtain the most accurate current values of the listed quantities, the table does not represent a critical review or adjustment of the constants, and is not intended as a primary reference. The values and uncertainties for the cosmological parameters depend on the exact data sets, priors, and basis parameters used in the fit. Many of the parameters reported in this table are derived parameters or have non-Gaussian likelihoods. The quoted errors may be highly correlated with those of other parameters, so care must be taken in propagating them. Unless otherwise specified, cosmological parameters are best fits of a spatially-flat ΛCDM cosmology with a power-law initial spectrum to 5-year WMAP data alone [2]. For more information see Ref. 3 and the original papers. Quantity Symbol, equation Value Reference, footnote speed of light c 299 792 458 m s−1 exact[4] −11 3 −1 −2 Newtonian gravitational constant GN 6.674 3(7) × 10 m kg s [1] 19 2 Planck mass c/GN 1.220 89(6) × 10 GeV/c [1] −8 =2.176 44(11) × 10 kg 3 −35 Planck length GN /c 1.616 25(8) × 10 m[1] −2 2 standard gravitational acceleration gN 9.806 65 m s ≈ π exact[1] jansky (flux density) Jy 10−26 Wm−2 Hz−1 definition tropical year (equinox to equinox) (2011) yr 31 556 925.2s≈ π × 107 s[5] sidereal year (fixed star to fixed star) (2011) 31 558 149.8s≈ π × 107 s[5] mean sidereal day (2011) (time between vernal equinox transits) 23h 56m 04.s090 53 [5] astronomical unit au, A 149 597 870 700(3) m [6] parsec (1 au/1 arc sec) pc 3.085 677 6 × 1016 m = 3.262 ...ly [7] light year (deprecated unit) ly 0.306 6 .. -
Apparent and Absolute Magnitudes of Stars: a Simple Formula
Available online at www.worldscientificnews.com WSN 96 (2018) 120-133 EISSN 2392-2192 Apparent and Absolute Magnitudes of Stars: A Simple Formula Dulli Chandra Agrawal Department of Farm Engineering, Institute of Agricultural Sciences, Banaras Hindu University, Varanasi - 221005, India E-mail address: [email protected] ABSTRACT An empirical formula for estimating the apparent and absolute magnitudes of stars in terms of the parameters radius, distance and temperature is proposed for the first time for the benefit of the students. This reproduces successfully not only the magnitudes of solo stars having spherical shape and uniform photosphere temperature but the corresponding Hertzsprung-Russell plot demonstrates the main sequence, giants, super-giants and white dwarf classification also. Keywords: Stars, apparent magnitude, absolute magnitude, empirical formula, Hertzsprung-Russell diagram 1. INTRODUCTION The visible brightness of a star is expressed in terms of its apparent magnitude [1] as well as absolute magnitude [2]; the absolute magnitude is in fact the apparent magnitude while it is observed from a distance of . The apparent magnitude of a celestial object having flux in the visible band is expressed as [1, 3, 4] ( ) (1) ( Received 14 March 2018; Accepted 31 March 2018; Date of Publication 01 April 2018 ) World Scientific News 96 (2018) 120-133 Here is the reference luminous flux per unit area in the same band such as that of star Vega having apparent magnitude almost zero. Here the flux is the magnitude of starlight the Earth intercepts in a direction normal to the incidence over an area of one square meter. The condition that the Earth intercepts in the direction normal to the incidence is normally fulfilled for stars which are far away from the Earth. -
Nightwatch Club Events Calendar President's Message
Henry Wadsworth Longfellow Henry Wadsworth Thewithfilled skyby day. is stars, invisible Volume 32 Number 06 nightwatch June 2012 President's Message Club Events Calendar Busy days right now, both in the heavens and here on Earth. June 8 - General Meeting – Speaker Robert Stephens - I've heard lots of good reports of people successfully viewing the “A Journey Through the Asteroid Belt” eclipse on May 20. My own eclipse trip to Page, Arizona, was a June 16 - Star Party - White Mountain smashing success. The lunar eclipse early in the morning on June 22 - Star Party - Cottonwood Springs - joint with June 4 was clouded out, at least here in Claremont. By the time Palm Springs Braille Institute you read this, the transit of Venus across the face of the sun on June 5 will already have happened. I hope you got a chance to July 2 - School Star Party - Colony High School, Ontario see it—it won't happen again until 2117. July 5 - Board Meeting, 6:15 We also have some great club events coming up. Our speaker July 13 - General Meeting for the June 8 general meeting is Robert Stephens July 21 – Star Party – Cottonwood Springs (http://planetarysciences.org/stephens.html), who will give us “A July 24 - Ontario Library Main Branch - Dark to 9pm Journey Through the Asteroid Belt”. On June 16 we'll have a star July 25 – Star Party – Orange County Braille Institute, party at White Mountain. My annual curse has struck again—I'll Anaheim be in New York looking at fossils instead of on White Mountain looking at stars, but I hope you all have fun without me. -
Eagle Nebula Star Formation Region
Eagle Nebula Star Formation Region AST 303: Chapter 17 1 The Formation of Stars (2) • A cloud of gas and dust must collapse if stars are to be formed. • The self-gravity of the cloud will tend to cause it to collapse. • Radiation pressure from nearby hot stars may do the same. • The passage of a shock wave from a nearby supernova blast or some other source (such as galactic shock waves) may do the same. – Note: The “sonic boom” of a jet plane is an example of a shock wave. • When two clouds collide, they may cause each other to collapse. AST 303: Chapter 17 2 Trifid Nebula AST 303: Chapter 17 3 Trifid Nebula Stellar Nursery Revealed AST 303: Chapter 17 4 Young Starburst Cluster Emerges from Cloud AST 303: Chapter 17 5 The Formation of Stars (3) • The gas in the collapsing cloud probably becomes turbulent. • This would tend to fragment the collapsing gas, producing condensations that would be the nuclei of new stars. • There is abundant evidence that shows that the stars in a cluster are all about the same age. For a young cluster, many stars have not yet reached the main sequence: ! Isochron Luminosity "Temperature AST 303: Chapter 17 6 The Formation of Stars (4) • The evolutionary paths of young stars on the H-R diagram look like this. Note the T Tauri stars, long thought to be young stars. • Theory says that these stars use convection as the main method of transporting energy to their surfaces. ! T Tauri Stars Luminosity "Temperature AST 303: Chapter 17 7 The Search for Stellar Precursors • Astronomers have long been fascinated by very dark, dense regions seen outlined against bright gas, called globules. -
The ISO/LWS Spectrum of the Egg Nebula, AFGL 2688 ? ; P
Astron. Astrophys. 315, L265–L268 (1996) ASTRONOMY AND ASTROPHYSICS The ISO/LWS spectrum of the Egg nebula, AFGL 2688 ? ; P. Cox 1 ;8 ,E.Gonz´alez-Alfonso2,M.J.Barlow3,X.-W.Liu3,T.Lim4, B.M. Swinyard5, J. Cernicharo6 2,A.Omont7, E. Caux8,C.Gry4;10, M.J. Griffin9,J.-P.Baluteau10,P.E.Clegg9,S.Sidher4,D.P´equignot11, Nguyen-Q-Rieu12, K.J. King5, P.A.R. Ade9,W.A.Towlson3,R.J.Emery5,I.Furniss3,M.Joubert13, C.J. Skinner14,M.Cohen15,C.Armand4,M.Burgdorf4, D. Eward4, A. Di Giorgio4, S. Molinari4, D. Texier4,N.Trams4,S.J.Unger5,W.M.Glencross3, D. Lorenzetti16, B. Nisini16, R. Orfei16, P. Saraceno16, and G. Serra8 1 Institut d’Astrophysique Spatiale, Bat.^ 120, Universite´ de Paris XI, F-91405 Orsay, France 2 Observatorio Astronomico Nacional. Apartado 1143. E-28800 Alcala de Henares, Spain 3 Dept. of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK 4 The LWS Instrument-Dedicated-Team, ISO Science Operations Centre, P.O. Box 50727, E-28080 Madrid, Spain 5 Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, UK 6 Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain 7 Institut d’Astrophysique de Paris, C.N.R.S., 98b bd. Arago, F-75014 Paris, France 8 Centre d’Etude Spatiale des Rayonnements, CESR/CNRS-UPS, BP 4346, F-31029 Toulouse Cedex, France 9 Dept. of Physics, Queen Mary and Westfield College Mile End Road, London E1 4NS, UK 10 Laboratoire d’Astronomie Spatiale, CNRS, BP 8, F-13376 Marseille Cedex 12, France 11 Observatoire de Paris, Section d’Astrophysique, F-92190 Paris, France 12 Observatoire de Paris, 61 avenue de l’Observatoire, F-75014 Paris, France 13 CNES, 2 place Maurice Quentin, F-75001 Paris, France 14 Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA 15 Radio Astronomy Laboratory, 601 Cambell Hall, University of California, Berkeley, CA 94720, USA 16 CNR-Instituto di Fisica dello Spazio Interplanetario, Casella Postale 27 I-00044 Frascati, Italy Received 15 July 1996 / Accepted 13 September 1996 Abstract. -
Useful Constants
Appendix A Useful Constants A.1 Physical Constants Table A.1 Physical constants in SI units Symbol Constant Value c Speed of light 2.997925 × 108 m/s −19 e Elementary charge 1.602191 × 10 C −12 2 2 3 ε0 Permittivity 8.854 × 10 C s / kgm −7 2 μ0 Permeability 4π × 10 kgm/C −27 mH Atomic mass unit 1.660531 × 10 kg −31 me Electron mass 9.109558 × 10 kg −27 mp Proton mass 1.672614 × 10 kg −27 mn Neutron mass 1.674920 × 10 kg h Planck constant 6.626196 × 10−34 Js h¯ Planck constant 1.054591 × 10−34 Js R Gas constant 8.314510 × 103 J/(kgK) −23 k Boltzmann constant 1.380622 × 10 J/K −8 2 4 σ Stefan–Boltzmann constant 5.66961 × 10 W/ m K G Gravitational constant 6.6732 × 10−11 m3/ kgs2 M. Benacquista, An Introduction to the Evolution of Single and Binary Stars, 223 Undergraduate Lecture Notes in Physics, DOI 10.1007/978-1-4419-9991-7, © Springer Science+Business Media New York 2013 224 A Useful Constants Table A.2 Useful combinations and alternate units Symbol Constant Value 2 mHc Atomic mass unit 931.50MeV 2 mec Electron rest mass energy 511.00keV 2 mpc Proton rest mass energy 938.28MeV 2 mnc Neutron rest mass energy 939.57MeV h Planck constant 4.136 × 10−15 eVs h¯ Planck constant 6.582 × 10−16 eVs k Boltzmann constant 8.617 × 10−5 eV/K hc 1,240eVnm hc¯ 197.3eVnm 2 e /(4πε0) 1.440eVnm A.2 Astronomical Constants Table A.3 Astronomical units Symbol Constant Value AU Astronomical unit 1.4959787066 × 1011 m ly Light year 9.460730472 × 1015 m pc Parsec 2.0624806 × 105 AU 3.2615638ly 3.0856776 × 1016 m d Sidereal day 23h 56m 04.0905309s 8.61640905309 -
PHAS 1102 Physics of the Universe 3 – Magnitudes and Distances
PHAS 1102 Physics of the Universe 3 – Magnitudes and distances Brightness of Stars • Luminosity – amount of energy emitted per second – not the same as how much we observe! • We observe a star’s apparent brightness – Depends on: • luminosity • distance – Brightness decreases as 1/r2 (as distance r increases) • other dimming effects – dust between us & star Defining magnitudes (1) Thus Pogson formalised the magnitude scale for brightness. This is the brightness that a star appears to have on the sky, thus it is referred to as apparent magnitude. Also – this is the brightness as it appears in our eyes. Our eyes have their own response to light, i.e. they act as a kind of filter, sensitive over a certain wavelength range. This filter is called the visual band and is centred on ~5500 Angstroms. Thus these are apparent visual magnitudes, mv Related to flux, i.e. energy received per unit area per unit time Defining magnitudes (2) For example, if star A has mv=1 and star B has mv=6, then 5 mV(B)-mV(A)=5 and their flux ratio fA/fB = 100 = 2.512 100 = 2.512mv(B)-mv(A) where !mV=1 corresponds to a flux ratio of 1001/5 = 2.512 1 flux(arbitrary units) 1 6 apparent visual magnitude, mv From flux to magnitude So if you know the magnitudes of two stars, you can calculate mv(B)-mv(A) the ratio of their fluxes using fA/fB = 2.512 Conversely, if you know their flux ratio, you can calculate the difference in magnitudes since: 2.512 = 1001/5 log (f /f ) = [m (B)-m (A)] log 2.512 10 A B V V 10 = 102/5 = 101/2.5 mV(B)-mV(A) = !mV = 2.5 log10(fA/fB) To calculate a star’s apparent visual magnitude itself, you need to know the flux for an object at mV=0, then: mS - 0 = mS = 2.5 log10(f0) - 2.5 log10(fS) => mS = - 2.5 log10(fS) + C where C is a constant (‘zero-point’), i.e. -
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, -
The Egg Nebula 15 April 2019
Image: the Egg Nebula 15 April 2019 Eventually the star stops shedding material and the core remnant heats up, exciting the expelled gas so that it glows brightly and becomes a planetary nebula. The dark band, sweeping beams, and criss- crossing arcs in this image can reveal a lot about the complex environment of a dying star. The central band is a cocoon of dust hiding the star from view. Beams of light emanate from the obscured star, and it is thought that they are due to starlight escaping from the ring-shaped holes in the dusty cocoon that surrounds the star. The holes are possibly carved by a high-speed stream of matter, although the cause of these jets are unknown. The Credit: Raghvendra Sahai and John Trauger (JPL), the spoke-like features are shadows cast by blobs of WFPC2 science team, and NASA/ESA material within the region of the holes in the cocoon. Numerous bright arcs intersect the beams: these The Egg Nebula is a preplanetary nebula, created are shells of matter ejected by the star. The arcs by a dying star in the process of becoming a are like tree rings, and can tell us something about planetary nebula. Planetary nebulas have nothing the object's age as they reveal that the rate of mass to do with planets – the name arose when 18th ejection has varied between 100 and 500 years century astronomers spotted them in their throughout its 10 000 year history. The gas is telescopes and thought they looked like planets. expanding at a rate of 20 km/s and matter has been Instead, they are the remnants of material expelled detected out to a radius of 0.6 light years, providing by Sun-like stars in the later stages of their lives. -
New Type of Black Hole Detected in Massive Collision That Sent Gravitational Waves with a 'Bang'
New type of black hole detected in massive collision that sent gravitational waves with a 'bang' By Ashley Strickland, CNN Updated 1200 GMT (2000 HKT) September 2, 2020 <img alt="Galaxy NGC 4485 collided with its larger galactic neighbor NGC 4490 millions of years ago, leading to the creation of new stars seen in the right side of the image." class="media__image" src="//cdn.cnn.com/cnnnext/dam/assets/190516104725-ngc-4485-nasa-super-169.jpg"> Photos: Wonders of the universe Galaxy NGC 4485 collided with its larger galactic neighbor NGC 4490 millions of years ago, leading to the creation of new stars seen in the right side of the image. Hide Caption 98 of 195 <img alt="Astronomers developed a mosaic of the distant universe, called the Hubble Legacy Field, that documents 16 years of observations from the Hubble Space Telescope. The image contains 200,000 galaxies that stretch back through 13.3 billion years of time to just 500 million years after the Big Bang. " class="media__image" src="//cdn.cnn.com/cnnnext/dam/assets/190502151952-0502-wonders-of-the-universe-super-169.jpg"> Photos: Wonders of the universe Astronomers developed a mosaic of the distant universe, called the Hubble Legacy Field, that documents 16 years of observations from the Hubble Space Telescope. The image contains 200,000 galaxies that stretch back through 13.3 billion years of time to just 500 million years after the Big Bang. Hide Caption 99 of 195 <img alt="A ground-based telescope&amp;#39;s view of the Large Magellanic Cloud, a neighboring galaxy of our Milky Way. -
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Arxiv:0908.2624V1 [Astro-Ph.SR] 18 Aug 2009
Astronomy & Astrophysics Review manuscript No. (will be inserted by the editor) Accurate masses and radii of normal stars: Modern results and applications G. Torres · J. Andersen · A. Gim´enez Received: date / Accepted: date Abstract This paper presents and discusses a critical compilation of accurate, fun- damental determinations of stellar masses and radii. We have identified 95 detached binary systems containing 190 stars (94 eclipsing systems, and α Centauri) that satisfy our criterion that the mass and radius of both stars be known to ±3% or better. All are non-interacting systems, so the stars should have evolved as if they were single. This sample more than doubles that of the earlier similar review by Andersen (1991), extends the mass range at both ends and, for the first time, includes an extragalactic binary. In every case, we have examined the original data and recomputed the stellar parameters with a consistent set of assumptions and physical constants. To these we add interstellar reddening, effective temperature, metal abundance, rotational velocity and apsidal motion determinations when available, and we compute a number of other physical parameters, notably luminosity and distance. These accurate physical parameters reveal the effects of stellar evolution with un- precedented clarity, and we discuss the use of the data in observational tests of stellar evolution models in some detail. Earlier findings of significant structural differences between moderately fast-rotating, mildly active stars and single stars, ascribed to the presence of strong magnetic and spot activity, are confirmed beyond doubt. We also show how the best data can be used to test prescriptions for the subtle interplay be- tween convection, diffusion, and other non-classical effects in stellar models.