Galaxies II: distances, clusters etc


How big is the universe?

A much harder problem that you might think!

Distances to Galaxies: Steps out from earth,



Supergiants , Brightest Mv=-6 100 Mpc

Various methods overlap, but still some problems
Uncertainty increases at large distances.

Clustering:

We have found about 108 galaxies. Galaxies cluster together into groups which appear to be gravitationally bound together
This is the VIrgo cluster: over 1000 galaxies: 3 big ellipticals, including M87 at the bottom. Closest big cluster

Galaxies Of The Virgo Cluster Credit & Copyright: Matt BenDaniel


This is the core of the Virgo cluster: M 84 and M 86 are the big ellipticals: also some small ellipticals and spirals

Credit & Copyright: Jean-Charles Cuillandre (CFHT), Hawaiian Starlight, CFHT


Coma cluster contains at least 104 galaxies

The Hickson cluster is a very small compact one

Local group contains Milky Way & about 20 others

LMC & SMC 50 kpc
M31 and satellites (M32) 690 Kpc
M33 2.7 mpc in Triangulum



Velocity of galaxies

Redshift red-shift, z, via $$ \color{red}{ \nu ' = v\sqrt {\frac{{1 - \frac{v}{c}}}{{1 + \frac{v}{c}}}} } $$ In general, define red-shift, z, via $$\color{red}{\lambda ' = \lambda \left( {1 + z} \right)}$$ so $z = \frac{v}{c}$ for non-relativistic shifts, relativistically $$ \color{red}{ z = \sqrt {\frac{{1 + \frac{v}{c}}}{{1 - \frac{v}{c}}}} - 1} $$
Found in 1920's (Hubble, Humason, Slipher) that faint galaxies show a red shift: fainter the galaxy, faster the recession.

v = H d
H is Hubble constant: As measured by Hubble H = 550 km s-1/Mpc:

Now we know H ~ 65 km s-1/Mpc :

i.e. the average galaxy at 100 Mpc is receding at 6500 km/s


Can look at clusters in z: unfortunately random ("peculiar") velocities distort picture

Clusters appear to form


super-clusters:

local cluster together with Virgo and others form local super-cluster 100 Mpc. across

Do superclusters cluster?
Or how is mass distributed on the largest possible scale?

Might expect Stars ⇒ galaxies ⇒ clusters ⇒ superclusters

becoming smoother at each stage

Instead of super-clusters being approx. spheres of clusters, we seem to see voids separated by clusters

Voids are very empty:
1/100 th of the density of galaxies that might be expected
Space is like a foam: voids are like empty bubbles


But this is only the beginning: We have measured the position of at least 10 million galaxies.......

and we can go deeper


And further: this is a cluster of galaxies at a redshift of .5

and further: this is a cluster of galaxies which is fairly close, but there the most distant galaxy known is buried in the picture

So there are some obvious questions: