AS1001:Extra-Galactic Astronomy Lecture 3: Galaxy Fundamentals Simon Driver Theatre B [email protected] http://www-star.st-and.ac.uk/~spd3 Galaxy Fundamentals • • • • • • • How many stars are in a galaxy ? How did galaxies form ? How many galaxies are there ? How far apart are they ? How are they clustered ? What is the mass of a typical galaxy ? What is the mass density of the Universe ? Extra-galactic Distances In Extragalactic astronomy we work in 6 1 Mpc = 10 pcs d in pc d in Mpc NB: M still defined to be at 10pc How many stars in a Galaxy ? e.g., Andromeda which is at 0.9Mpc and has an apparent magnitude mv=3.5 1) 2) Assume M*=5.48 (i.e., Solar) 3) 4) n*=50 billion stars How did Galaxies Form ? TWO COMPETING SCENARIOES • Hierarchical Merging • Initial Collapse How did Galaxies Form? • Hierarchical merging • For • Initial Collapse • For – Mergers seen – Ellipticals are old – Ellipticals in high density – Ellipticals seen at high z environments – Spirals/Irrs rotating – Irrs isolated – Irregulars forming today • Against – Ellipticals seen at early epochs • Against – Irregulars forming today – Mergers seen PROBABLY SOME OF EACH OCCURRING The Antennae Galaxy: mid-merger Cluster Formation Simulation John Dubinski: www.cita.utoronto.ca/~dubinski Cluster Formation Simulation John Dubinski: www.cita.utoronto.ca/~dubinski How many galaxies are there ? STEP1: Take all sky photos STEP2: Count galaxies brighter than some magnitude STEP3: Assume most galaxies are like the MW* STEP4: Calculate depth and volume of sky STEP5: Calculate the SPACE-DENSITY of galaxies [* This is a bit of a fudge but works because the most easily detected galaxies are like the Milky Way, i.e., big bright spirals. This does not mean they’re the most numerous just the most visible !] The Space Density of Galaxies • For example the MW has MB = -20 and there are ~10,000 MWlike galaxies known, brighter than 14th mag over the whole sky. How many galaxies are there per Mpc cubed ? Use magnitude equation to get the distance => Use geometry to get the volume => n = number density • i.e., There is ~1 MW-like galaxy every 100Mpc cubed How far apart are they ? • The mean separation of galaxies is therefore ~(100)1/3= 4.6 Mpc 100Mpc 4.6 Mpc • In reality though we know that galaxies are strongly clustered 3 Large Scale Structure in the Universe The Stickman: 1980 pc M 0 15 Geller & Huchra Large Scale Structure in the Universe The Great Wall: 1988 Large Scale Structure in the Universe Mass-to-Light Ratios • Let us assume that the amount of light a galaxy emits relates to its mass • i.e., there exists a mass-to-light ratio [we will explore the validity of this later] • Typically this is expressed in solar units: Mass-to-light ratio X=1 For our sun X~10 For a galaxy Solar Mass Solar Luminosity The Mass of M31 Given that the average mass-to-light ratio is about 10 what mass does this imply for M31 which has MV = -20.5 mags ? The Density of the Universe • By multiplying together the space density of galaxies and the mass of the typical galaxy we can get an approximate value for the density of the visible Universe: • This is the matter that we can see. However… • More accurate observations incorporating dynamics of galaxies and clusters, yields the total density (includes luminous and dark matter): • Most of matter in Universe we cannot see! • Mass of hydrogen atom: mH=1.7 10-27 kg • If the Universe was smoothly spread out there would be a couple of hydrogen atoms per cubic metre. But the air we breathe contains about 1025 atoms per cubic metre.
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