galaxy clusters & large scale structure ay 16, april 3, 2008 coma cluster =a1656
Post on 21-Dec-2015
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TRANSCRIPT
Galaxies Are Not Randomly Distributed in Space
Fundamental discovery (and debate) in the 20th century is that Galaxies cluster.
On small scales: Binaries ~100 kpc intermediate scales: Groups ~1 Mpc larger scales: Clusters few Mpc even larger scales: Superclusters 10’s Mpc largest seen: Voids + Cosmic Web ~50 Mpc
Mass Estimators:
• MV =
• MP = Σ Ri (Vi-VG)2
with fPM =10.2 and γ = 1.5 (Heisler, Tremaine & Bahcall 1985, ApJ 298, 8)
3 π ΣσP2 RP
2 G
fPM
π G (N – γ)
Cluster Mass Estimates
Now three techniques agree fairly well for the same clusters -- Galaxy Dynamics, Gas Hydrostatic Equilibrium + Gravitational Lensing masses give a mean M/L of around 300 in blue light (solar units) and 100 in infrared light. This is important for cosmology as it implies (1) that there’s lots of Dark Matter on large scales, and (2) that matter is ~ 0.25.
Its all in the display:
Election ’04
By County R/B
By County color range
By state scaled by population
Early “Modern” Views• Hubble: The Large Scale is “Sensibly
Uniform,” one cluster per 50 square degrees. “General Field of galaxies, isolated groups and clusters.
versus
• Zwicky “Clusters are Common”
“cluster cells separated by saddles or minima ... and … not … flatlands”
Statistics of Clustering
Many different “statistical” measures.
Peebles and Totsuji & Kihara introduced the correlation function -- a measure of the excess probability of finding a galaxy near another galaxy --- in the early 1970’s.
Correlation Functions
2D Angular Correlation Function
dP = N [1 + w()] d
where N = surface density of galaxies = angular separation and = solid angle (area of sky)
3D Spatial Correlation Function
dP = n [ 1 + (r) ] dV
where n is now the volume density
dV is the volume element
and r is some measure of separation
e.g. s = [d2 + ((v1 - v2)/H)2 ]1/2
3D Maps of the Local Universe
Not much progress until the mid 1970’s!
Catalogs existed from Photographic Surveys- 2D only (Zwicky++; Vorontosov-Velyaminov++)
In 1972 the largest “complete” galaxy redshift sample had only ~250 galaxies
Key was innovations in detector technology:
computers + digital detectors
sensitive radio receivers
Next Steps:o Distances via TF, d_n-sigma, SN, etc. 4000 galaxies inside 15000 km/s with HI and 2MASS photometry (e.g. see the Cornell group’s work) o Redshifts to K=12.25, ~100,000 galaxies all sky (6dF in the south, ??? in the north)
o Hollywood (movies!)