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How long since the Big Bang ?
Jeremy Mould
National Optical Astronomy Observatory
Introduction
• Subject today is the Expanding Universe
• The Expanding Universe model describes
•
the motions of galaxies
Just like the model of Copernicus describes
the motions of the planets
Outline
• Hubble’s evidence for an expanding Universe
• How fast is the Universe expanding now ?
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•
(the Hubble Constant)
Variation of the expansion rate over time
How long is it since the Big Bang ?
Edwin
Hubble
1889
1953
Hubble’s evidence
Overview on the Hubble Constant
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what is redshift ?
measuring distances geometrically
we start with the Large Magellanic Cloud
the Hubble Space Telescope Key Project
Cepheids as standard candles
Supernovae as standard candles
redshift
•
•
1 parsec is
3 x 1013 km
if we can
measure
the angle,
we can get
the distance
Supernova 1987A
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a massive star
exploded in the LMC
February 1987
the LMC is our nearest
neighbor galaxy
in fact, it’s a satellite
SN1987A
•
the ring lit up
250 days after
the supernova
•
radius known
•
angle known
•
=> distance
SN1987A
Schematic
of
SN1987A
The Hubble Constant Key Project
Goal:
Measure how fast the
Universe is
expanding
to 10% accuracy
The HST Key Project
Jeremy Mould
Robert Kennicutt, U.Ariz
Wendy Freedman, CIW
Shaun Hughes, RGO
Barry Madore
Nancy Silbermann
Shoko Sakai
Randy Phelps
Robert Hill
Abi Saha, NOAO
Peter Stetson, DAO
Brad Gibson
Laura Ferrarese
Holland Ford
Garth Illingworth
Dan Kelson
John Graham
John Hoessell
Ming Sheng Han
John Huchra
Anne Turner
Paul Harding
Fabio Bresolin
servicing mission
The first
servicing
mission
replaced the
WFPC with
WFPC2 in
December
1993, thus
remedying
spherical
aberration
The power of the Hubble Space Telescope
• From the ground we can resolve galaxies up
to 2 or 3 Mpc away
• HST was designed to have ten times the
resolution of ground based telescopes
• The project to find Cepheids up to 20 Mpc
away was designated a Key Project for HST
The Cepheid period luminosity relation
M100
M100
Cepheid light curves in NGC 1365
N1365 PL
top: visual
The PL relation
in NGC 1365
bottom: infrared
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Beyond the Cepheids
Beyond 20 Mpc even HST has difficulty resolving
Cepheids
We use four other standard candles to measure distances a
further factor of ten
The Tully Fisher relation for spiral galaxies
Supernovae of type Ia
Surface brightness fluctuations = resolvability
The fundamental plane for elliptical galaxies
Tully Fisher relation
•
•
big galaxies
rotate faster
a galaxy with a
given rotation
speed is a
standard candle
The Hubble Constant
•
•
All 4
standard
candles
agree
H lies in
the range
65 to 77
km/s/Mpc
How standard are standard
candles ?
• most stars have a chemical composition like
that of the sun
• but there are some variations....
• Cepheids with different chemistry pulsate
differently
• accounting for this changes our distances a
few percent
How the expansion slows
Expansion
rate in
the past
divided
by
current
rate
Big Bang
low density universe
Now
What is the density of the Universe ?
2dF
map of
the 3d
density
of the
local
few
billion
light
years
Colless
and
team
Dark energy
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2dF found that
the density of
the Universe
was only 25%
of the critical
density
But Boomerang
found that the
curvature of the
Universe was
nonetheless
zero.
Rediscovery
of L
See
www.mso.anu.edu.au/~brian
Measuring the age
Scale
factor
Size now
13.5
a
time in billions of years
Summary
• we start with the distance of the LMC
• a Cepheid of period P is a standard candle of
luminosity L
• HST maps the Cepheids out to 20 Mpc
• Four other standard candles map the expansion out
to 200 Mpc
• H0 = 72 +/- 7 km/sec/Mpc
• Universe is 13.5 +/- 1.5 Gyrs old
Global
parameters:
the Hubble
Constant
Is H0 > 60
km/sec/Mpc ?
Jim
Peebles’
ruling
SIM is the Space
Interferometry
Mission
SIM is proceeding
with Phase B
development and
on track for a launch
in 2009.
http://sim.jpl.nasa.gov
What SIM will
do for
cosmology ?
Oldest stars
•
globular
star clusters
•
parallaxes
with SIM
or GAIA
•
measure
ages to half
a billion
years
LSST, a digital
survey of the
sky each week
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Weak lensing mass map of
the Universe
100,000 supernovae per
year z e (1,2)
Earth crossing asteroids
10,000 primordial transNeptunian objects
View of the LSST telescope structure in the Steward Observatory straw
man design. The primary mirror is at the center, and the secondary and
tertiary are almost equidistant from the primary. The detectors are just
ahead of the central hole in the primary (see: http://dmtelescope.org/
design.html)
Where to get more information
• ‘Measuring the Universe’ by Stephen Webb
• www.stsci.edu (Hubble Space Telescope)
http://oposite.stsci.edu/pubinfo/1999.html
• www.noao.edu/noao/staff/jrm
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PHOTO NO.: STScI-PRC99-25 MAGNIFICENT DETAILS IN A DUSTY SPIRAL GALAXY In 1995, the
majestic spiral galaxy NGC 4414 was imaged by the Hubble Space Telescope as part of the HST Key
Project on the Extragalactic Distance Scale. An international team of astronomers, led by Dr. Wendy
Freedman of the Observatories of the Carnegie Institution of Washington, observed this galaxy on 13
different occasions over the course of two months. Images were obtained with Hubble's Wide Field
Planetary Camera 2 (WFPC2) through three different color filters. Based on their discovery and careful
brightness measurements of variable stars in NGC 4414, the Key Project astronomers were able to make
an accurate determination of the distance to the galaxy. The resulting distance to NGC 4414, 19.1
megaparsecs or about 60 million light-years, along with similarly determined distances to other nearby
galaxies, contributes to astronomers' overall knowledge of the rate of expansion of the universe. The
Hubble constant (H0) is the ratio of how fast galaxies are moving away from us to their distance from us.
This astronomical value is used to determine distances, sizes, and the intrinsic luminosities for many
objects in our universe, and the age of the universe itself. Due to the large size of the galaxy compared to
the WFPC2 detectors, only half of the galaxy observed was visible in the datasets collected by the Key
Project astronomers in 1995. In 1999, the Hubble Heritage Team revisited NGC 4414 and completed its
portrait by observing the other half with the same filters as were used in 1995. The end result is a stunning
full-color look at the entire dusty spiral galaxy. The new Hubble picture shows that the central regions of this
galaxy, as is typical of most spirals, contain primarily older, yellow and red stars. The outer spiral arms are
considerably bluer due to ongoing formation of young, blue stars, the brightest of which can be seen
individually at the high resolution provided by the Hubble camera. The arms are also very rich in clouds of
interstellar dust, seen as dark patches and streaks silhouetted against the starlight.
Image Credit: Hubble Heritage Team (AURA/STScI/NASA)