Stellar Populations - Lecture I
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Luminous Blue Variables
Review Luminous Blue Variables Kerstin Weis 1* and Dominik J. Bomans 1,2,3 1 Astronomical Institute, Faculty for Physics and Astronomy, Ruhr University Bochum, 44801 Bochum, Germany 2 Department Plasmas with Complex Interactions, Ruhr University Bochum, 44801 Bochum, Germany 3 Ruhr Astroparticle and Plasma Physics (RAPP) Center, 44801 Bochum, Germany Received: 29 October 2019; Accepted: 18 February 2020; Published: 29 February 2020 Abstract: Luminous Blue Variables are massive evolved stars, here we introduce this outstanding class of objects. Described are the specific characteristics, the evolutionary state and what they are connected to other phases and types of massive stars. Our current knowledge of LBVs is limited by the fact that in comparison to other stellar classes and phases only a few “true” LBVs are known. This results from the lack of a unique, fast and always reliable identification scheme for LBVs. It literally takes time to get a true classification of a LBV. In addition the short duration of the LBV phase makes it even harder to catch and identify a star as LBV. We summarize here what is known so far, give an overview of the LBV population and the list of LBV host galaxies. LBV are clearly an important and still not fully understood phase in the live of (very) massive stars, especially due to the large and time variable mass loss during the LBV phase. We like to emphasize again the problem how to clearly identify LBV and that there are more than just one type of LBVs: The giant eruption LBVs or h Car analogs and the S Dor cycle LBVs. -
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 .. -
The Endpoints of Stellar Evolution Answer Depends on the Star’S Mass Star Exhausts Its Nuclear Fuel - Can No Longer Provide Pressure to Support Itself
The endpoints of stellar evolution Answer depends on the star’s mass Star exhausts its nuclear fuel - can no longer provide pressure to support itself. Gravity takes over, it collapses Low mass stars (< 8 Msun or so): End up with ‘white dwarf’ supported by degeneracy pressure. Wide range of structure and composition!!! Answer depends on the star’s mass Star exhausts its nuclear fuel - can no longer provide pressure to support itself. Gravity takes over, it collapses Higher mass stars (8-25 Msun or so): get a ‘neutron star’ supported by neutron degeneracy pressure. Wide variety of observed properties Answer depends on the star’s mass Star exhausts its nuclear fuel - can no longer provide pressure to support itself. Gravity takes over, it collapses Above about 25 Msun: we are left with a ‘black hole’ Black holes are astounding objects because of their simplicity (consider all the complicated physics to set all the macroscopic properties of a star that we have been through) - not unlike macroscopic elementary particles!! According to general relativity, the black hole properties are set by two numbers: mass and spin change of photon energies towards the gravitating mass the opposite when emitted Pound-Rebka experiment used atomic transition of Fe Important physical content for BH studies: general relativity has no intrisic scale instead, all important lengthscales and timescales are set by - and become proportional to the mass. Trick… Examine the energy… Why do we believe that black holes are inevitably created by gravitational collapse? Rather astounding that we go from such complicated initial conditions to such “clean”, simple objects! . -
Stars IV Stellar Evolution Attendance Quiz
Stars IV Stellar Evolution Attendance Quiz Are you here today? Here! (a) yes (b) no (c) my views are evolving on the subject Today’s Topics Stellar Evolution • An alien visits Earth for a day • A star’s mass controls its fate • Low-mass stellar evolution (M < 2 M) • Intermediate and high-mass stellar evolution (2 M < M < 8 M; M > 8 M) • Novae, Type I Supernovae, Type II Supernovae An Alien Visits for a Day • Suppose an alien visited the Earth for a day • What would it make of humans? • It might think that there were 4 separate species • A small creature that makes a lot of noise and leaks liquids • A somewhat larger, very energetic creature • A large, slow-witted creature • A smaller, wrinkled creature • Or, it might decide that there is one species and that these different creatures form an evolutionary sequence (baby, child, adult, old person) Stellar Evolution • Astronomers study stars in much the same way • Stars come in many varieties, and change over times much longer than a human lifetime (with some spectacular exceptions!) • How do we know they evolve? • We study stellar properties, and use our knowledge of physics to construct models and draw conclusions about stars that lead to an evolutionary sequence • As with stellar structure, the mass of a star determines its evolution and eventual fate A Star’s Mass Determines its Fate • How does mass control a star’s evolution and fate? • A main sequence star with higher mass has • Higher central pressure • Higher fusion rate • Higher luminosity • Shorter main sequence lifetime • Larger -
Lecture 3 - Minimum Mass Model of Solar Nebula
Lecture 3 - Minimum mass model of solar nebula o Topics to be covered: o Composition and condensation o Surface density profile o Minimum mass of solar nebula PY4A01 Solar System Science Minimum Mass Solar Nebula (MMSN) o MMSN is not a nebula, but a protoplanetary disc. Protoplanetary disk Nebula o Gives minimum mass of solid material to build the 8 planets. PY4A01 Solar System Science Minimum mass of the solar nebula o Can make approximation of minimum amount of solar nebula material that must have been present to form planets. Know: 1. Current masses, composition, location and radii of the planets. 2. Cosmic elemental abundances. 3. Condensation temperatures of material. o Given % of material that condenses, can calculate minimum mass of original nebula from which the planets formed. • Figure from Page 115 of “Physics & Chemistry of the Solar System” by Lewis o Steps 1-8: metals & rock, steps 9-13: ices PY4A01 Solar System Science Nebula composition o Assume solar/cosmic abundances: Representative Main nebular Fraction of elements Low-T material nebular mass H, He Gas 98.4 % H2, He C, N, O Volatiles (ices) 1.2 % H2O, CH4, NH3 Si, Mg, Fe Refractories 0.3 % (metals, silicates) PY4A01 Solar System Science Minimum mass for terrestrial planets o Mercury:~5.43 g cm-3 => complete condensation of Fe (~0.285% Mnebula). 0.285% Mnebula = 100 % Mmercury => Mnebula = (100/ 0.285) Mmercury = 350 Mmercury o Venus: ~5.24 g cm-3 => condensation from Fe and silicates (~0.37% Mnebula). =>(100% / 0.37% ) Mvenus = 270 Mvenus o Earth/Mars: 0.43% of material condensed at cooler temperatures. -
Hertzsprung-Russell Diagram
Hertzsprung-Russell Diagram Astronomers have made surveys of the temperatures and luminosities of stars and plot the result on H-R (or Temperature-Luminosity) diagrams. Many stars fall on a diagonal line running from the upper left (hot and luminous) to the lower right (cool and faint). The Sun is one of these stars. But some fall in the upper right (cool and luminous) and some fall toward the bottom of the diagram (faint). What can we say about the stars in the upper right? What can we say about the stars toward the bottom? If all stars had the same size, what pattern would they make on the diagram? Masses of Stars The gravitational force of the Sun keeps the planets in orbit around it. The force of the Sun’s gravity is proportional to the mass of the Sun, and so the speeds of the planets as they orbit the Sun depend on the mass of the Sun. Newton’s generalization of Kepler’s 3rd law says: P2 = a3 / M where P is the time to orbit, measured in years, a is the size of the orbit, measured in AU, and M is the sum of the two masses, measured in solar masses. Masses of stars It is difficult to see planets orbiting other stars, but we can see stars orbiting other stars. By measuring the periods and sizes of the orbits we can calculate the masses of the stars. If P2 = a3 / M, M = a3 / P2 This mass in the formula is actually the sum of the masses of the two stars. -
The Impact of the Astro2010 Recommendations on Variable Star Science
The Impact of the Astro2010 Recommendations on Variable Star Science Corresponding Authors Lucianne M. Walkowicz Department of Astronomy, University of California Berkeley [email protected] phone: (510) 642–6931 Andrew C. Becker Department of Astronomy, University of Washington [email protected] phone: (206) 685–0542 Authors Scott F. Anderson, Department of Astronomy, University of Washington Joshua S. Bloom, Department of Astronomy, University of California Berkeley Leonid Georgiev, Universidad Autonoma de Mexico Josh Grindlay, Harvard–Smithsonian Center for Astrophysics Steve Howell, National Optical Astronomy Observatory Knox Long, Space Telescope Science Institute Anjum Mukadam, Department of Astronomy, University of Washington Andrej Prsa,ˇ Villanova University Joshua Pepper, Villanova University Arne Rau, California Institute of Technology Branimir Sesar, Department of Astronomy, University of Washington Nicole Silvestri, Department of Astronomy, University of Washington Nathan Smith, Department of Astronomy, University of California Berkeley Keivan Stassun, Vanderbilt University Paula Szkody, Department of Astronomy, University of Washington Science Frontier Panels: Stars and Stellar Evolution (SSE) February 16, 2009 Abstract The next decade of survey astronomy has the potential to transform our knowledge of variable stars. Stellar variability underpins our knowledge of the cosmological distance ladder, and provides direct tests of stellar formation and evolution theory. Variable stars can also be used to probe the fundamental physics of gravity and degenerate material in ways that are otherwise impossible in the laboratory. The computational and engineering advances of the past decade have made large–scale, time–domain surveys an immediate reality. Some surveys proposed for the next decade promise to gather more data than in the prior cumulative history of astronomy. -
PSR J1740-3052: a Pulsar with a Massive Companion
Haverford College Haverford Scholarship Faculty Publications Physics 2001 PSR J1740-3052: a Pulsar with a Massive Companion I. H. Stairs R. N. Manchester A. G. Lyne V. M. Kaspi Fronefield Crawford Haverford College, [email protected] Follow this and additional works at: https://scholarship.haverford.edu/physics_facpubs Repository Citation "PSR J1740-3052: a Pulsar with a Massive Companion" I. H. Stairs, R. N. Manchester, A. G. Lyne, V. M. Kaspi, F. Camilo, J. F. Bell, N. D'Amico, M. Kramer, F. Crawford, D. J. Morris, A. Possenti, N. P. F. McKay, S. L. Lumsden, L. E. Tacconi-Garman, R. D. Cannon, N. C. Hambly, & P. R. Wood, Monthly Notices of the Royal Astronomical Society, 325, 979 (2001). This Journal Article is brought to you for free and open access by the Physics at Haverford Scholarship. It has been accepted for inclusion in Faculty Publications by an authorized administrator of Haverford Scholarship. For more information, please contact [email protected]. Mon. Not. R. Astron. Soc. 325, 979–988 (2001) PSR J174023052: a pulsar with a massive companion I. H. Stairs,1,2P R. N. Manchester,3 A. G. Lyne,1 V. M. Kaspi,4† F. Camilo,5 J. F. Bell,3 N. D’Amico,6,7 M. Kramer,1 F. Crawford,8‡ D. J. Morris,1 A. Possenti,6 N. P. F. McKay,1 S. L. Lumsden,9 L. E. Tacconi-Garman,10 R. D. Cannon,11 N. C. Hambly12 and P. R. Wood13 1University of Manchester, Jodrell Bank Observatory, Macclesfield, Cheshire SK11 9DL 2National Radio Astronomy Observatory, PO Box 2, Green Bank, WV 24944, USA 3Australia Telescope National Facility, CSIRO, PO Box 76, Epping, NSW 1710, Australia 4Physics Department, McGill University, 3600 University Street, Montreal, Quebec, H3A 2T8, Canada 5Columbia Astrophysics Laboratory, Columbia University, 550 W. -
Stellar Evolution
Stellar Astrophysics: Stellar Evolution 1 Stellar Evolution Update date: December 14, 2010 With the understanding of the basic physical processes in stars, we now proceed to study their evolution. In particular, we will focus on discussing how such processes are related to key characteristics seen in the HRD. 1 Star Formation From the virial theorem, 2E = −Ω, we have Z M 3kT M GMr = dMr (1) µmA 0 r for the hydrostatic equilibrium of a gas sphere with a total mass M. Assuming that the density is constant, the right side of the equation is 3=5(GM 2=R). If the left side is smaller than the right side, the cloud would collapse. For the given chemical composition, ρ and T , this criterion gives the minimum mass (called Jeans mass) of the cloud to undergo a gravitational collapse: 3 1=2 5kT 3=2 M > MJ ≡ : (2) 4πρ GµmA 5 For typical temperatures and densities of large molecular clouds, MJ ∼ 10 M with −1=2 a collapse time scale of tff ≈ (Gρ) . Such mass clouds may be formed in spiral density waves and other density perturbations (e.g., caused by the expansion of a supernova remnant or superbubble). What exactly happens during the collapse depends very much on the temperature evolution of the cloud. Initially, the cooling processes (due to molecular and dust radiation) are very efficient. If the cooling time scale tcool is much shorter than tff , −1=2 the collapse is approximately isothermal. As MJ / ρ decreases, inhomogeneities with mass larger than the actual MJ will collapse by themselves with their local tff , different from the initial tff of the whole cloud. -
Luminous Blue Variables: an Imaging Perspective on Their Binarity and Near Environment?,??
A&A 587, A115 (2016) Astronomy DOI: 10.1051/0004-6361/201526578 & c ESO 2016 Astrophysics Luminous blue variables: An imaging perspective on their binarity and near environment?;?? Christophe Martayan1, Alex Lobel2, Dietrich Baade3, Andrea Mehner1, Thomas Rivinius1, Henri M. J. Boffin1, Julien Girard1, Dimitri Mawet4, Guillaume Montagnier5, Ronny Blomme2, Pierre Kervella7;6, Hugues Sana8, Stanislav Štefl???;9, Juan Zorec10, Sylvestre Lacour6, Jean-Baptiste Le Bouquin11, Fabrice Martins12, Antoine Mérand1, Fabien Patru11, Fernando Selman1, and Yves Frémat2 1 European Organisation for Astronomical Research in the Southern Hemisphere, Alonso de Córdova 3107, Vitacura, 19001 Casilla, Santiago de Chile, Chile e-mail: [email protected] 2 Royal Observatory of Belgium, 3 avenue Circulaire, 1180 Brussels, Belgium 3 European Organisation for Astronomical Research in the Southern Hemisphere, Karl-Schwarzschild-Str. 2, 85748 Garching b. München, Germany 4 Department of Astronomy, California Institute of Technology, 1200 E. California Blvd, MC 249-17, Pasadena, CA 91125, USA 5 Observatoire de Haute-Provence, CNRS/OAMP, 04870 Saint-Michel-l’Observatoire, France 6 LESIA (UMR 8109), Observatoire de Paris, PSL, CNRS, UPMC, Univ. Paris-Diderot, 5 place Jules Janssen, 92195 Meudon, France 7 Unidad Mixta Internacional Franco-Chilena de Astronomía (CNRS UMI 3386), Departamento de Astronomía, Universidad de Chile, Camino El Observatorio 1515, Las Condes, Santiago, Chile 8 ESA/Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, -
Chapter 1: How the Sun Came to Be: Stellar Evolution
Chapter 1 SOLAR PHYSICS AND TERRESTRIAL EFFECTS 2+ 4= Chapter 1 How the Sun Came to Be: Stellar Evolution It was not until about 1600 that anyone speculated that the Sun and the stars were the same kind of objects. We now know that the Sun is one of about 100,000,000,000 (1011) stars in our own galaxy, the Milky Way, and that there are probably at least 1011 galaxies in the Universe. The Sun seems to be a very average, middle-aged star some 4.5 billion years old with our nearest neighbor star about 4 light-years away. Our own location in the galaxy is toward the outer edge, about 30,000 light-years from the galactic center. The solar system orbits the center of the galaxy with a period of about 200,000,000 years, an amount of time we may think of as a Sun-year. In its life so far, the Sun has made about 22 trips around the galaxy; like a 22-year old human, it is still in the prime of its life. Section 1.—The Protostar Current theories hold that about 5 billion years ago the Sun began to form from a huge dark cloud of dust and vapor that included the remnants of earlier stars which had exploded. Under the influence of gravity the cloud began to contract and rotate. The contraction rate near the center was greatest, and gradually a dense central core formed. As the rotation rate increased, due to conservation of angular momentum, the outer parts began to flatten. -