greyscale version for printing

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.