Title: Expansion and Age
1Lecture 7
2Pure Thermal Real Star Spectra
pure thermal spectrum
smooth curve
Brightness
absorption lines
real star spectrum
600
400
800
1000
200
Colors within spectrum need to match colors in
band
Wavelength (nm)
3Optical Spectra Doppler Shifts
Hydrogen absorption line spectra
Zero shift stationary
1.5 redshift 4500 km/s
2.0 blueshift 6000 km/s
4Early Spectrographs
Hugginss two-prism spectrograph
Prism disperses the light
5Modern Spectrographs
Grating disperses light
VIMOS Spectrograph on VLT
Please include this image as well as the other
one.
GMOS spectrograph on Gemini North
6Real Galaxy Spectra
blue
red
7Galaxy Doppler Shifts
zero Doppler shift
z ??/?e 0.14 v 42,000 km/s !!
8Hubbles Original data
Hubbles 1929 data
1000
Velocity (km/s)
500
0
0
6
4
2
Distance (Mly)
9Hubbles Original Data
Hubbles 1931 Data
30,000
10,000
Velocity (km/s)
3,000
1,000
16
10
12
14
18
Faint Far
Bright Near
Galaxy Faintness (distance)
10The Hubble Law v Ho ? d
HST Key Project final results Freedman et al
(2000)
30,000
20,000
Velocity (km/s)
10,000
v Ho ? d
0
400
200
300
100
0
Distance (Mpc)
11Ho and the age of the Universe.
2v
v
2d
us
d
Distance Speed
d v
1 million light years 22 km/s
Time
1019 km 22 km/s
4.30 ? 1017 seconds
13.5 Billion years
12Ho and the age of the Universe.
v
us
v Ho ? d
d
Distance Speed
d Ho ? d
d v
1 Ho
Time
1 Ho
tH
Hubble time 13.5 Billion years
c Ho
rH tH ? c
Hubble radius 13.5 Billion light years
radius of visible Universe
13H-R Diagram for Young Cluster
Cluster M11 0.25 Gyr
14H-R Diagram of Older Cluster
Cluster M67 4.0 Gyr
15H-R Diagram of Old Cluster
Cluster 47 Tuc 12 Gyr
16Other Age Estimates
M55 very old
M42 very young
What are the oldest things in our galaxy? Are
these close to the age of the Universe?
N3293 young
17Redshift Stretch Factor Cosmic Stretch Factor
?emit
demit
dnow
?now
dnow demit
?now ?emit
rsf
18An Example
?em
?now
486
510
700 Mly
500
400
Wavelength (nm)
19End of Lecture
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