How big is the universe?



A much harder problem that you might think!

Distances to Galaxies:
Steps out from earth,

Astronomical unit≈1010m
10 billion m or 8 light-minutes
Parallax of Individual stars 1018m ∼ 100pc
Moving cluster method (flock of birds seem to be moving towards a point on the horizon) 1019m ∼ 2kpc
Novae: smaller stellar explosions: this is Nova Cygni 1991 (expansion of shells) 2kpc

Nova Cygni 1992 Credit: NASA, ESA, HST, F. Paresce, R. Jedrzejewski (STScI)

Cepheids: supergiant stars which pulsate regularly, can be seen in M100 20 Mpc

Credit: NASA, HST, W. Freedman (CIW), R. Kennicutt (U. Arizona), J. Mould (ANU)

Supergiants , Brightest Mv=-6 100 Mpc

Type 1a Supernovae Mv = -20 3000Mpc
Brightest galaxies in clusters 1000 Mpc
Various methods overlap, but still some problems
Uncertainty increases at large distances.

We have found about 108 galaxies. Galaxies form clusters:

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 soem 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

Velocity of galaxies

Redshift

Doppler effect gives

z = λ-λ₀  =   1 -   original wavelength 
        λ                 measured wavelength

Vel. of recession

v = zc =  cδλ
                λ₀

This formula isn't quite right: we can have z > 1: in fact the furthest known galaxy has z = 4.9. We have to use a relativistic formula in that case.

Found in 1920's (Hubble, Humason, Slipher) that faint galaxies show a red shift: fainter the galaxy, faster the recession.

Hubble was able to measure distances to closer clusters and found that velocity ∝ distance

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

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: and to start answering these we'll go on to Physics as a Creation Myth