Transcript 26Nov_2014

Units to read
• 67,68, 69, 70, 54
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A 90-100
AB 85-89
B 75 - 84
BC 70 - 74
C 60 - 69
D 50 - 59
Star Clusters
• Stars form in large groups out
of a single interstellar cloud of
gas and dust
• These groups are called star
clusters
• Open clusters have a low
density of stars – there is lots
of space between the cluster’s
members
• They can contain up to a few
thousand stars in a volume 14
to 40 light years across
• The Pleiades is a very familiar
open cluster
Globular Clusters
• Some clusters are much
more densely packed than
open clusters.
• These globular clusters
can have as many as
several million stars, in a
volume 80 to 320 light
years across!
A snapshot of stellar evolution
• Because all stars in a
given cluster formed at
the same time out of the
same cloud of material,
we can learn a lot about
stellar evolution by
examining a cluster’s stars
• We can locate each star in
a cluster on an HR
diagram and look for the
“turnoff point”, the point
on the main sequence
above which the stars in
the cluster have run out of
fuel and become red
giants
We can deduce the age of a cluster by
finding this turnoff point.
Finding a Cluster’s Age
Triangulation
We can use triangulation to calculate how far away objects are!
Finding the distance to the Moon by Triangulation
• The Moon is a relatively close
object, and measuring the
necessary angles is not too
difficult.
• Other astronomical objects of
interest are much farther away,
and measuring the necessary
angles in degrees is impractical
• Degrees have been sub-divided
into arc-minutes and arc-seconds
– 1 degree = 60 arc-minutes
– 1 arc-minute = 60 arc seconds
A more modern way of finding the distance to the Moon
• Apollo astronauts left
faceted mirrors behind
when they returned to
Earth
• Scientists can bounce
laser beams off these
mirrors, and measure
the time it takes the
laser pulse to travel to
the Moon and back.
• We know the speed of
light, c, so calculating
the distance is easy!
Parallax
• As a person’s viewing
location changes,
foreground objects
seem to shift relative
to background objects
• This effect is called
parallax, and can be
used to measure the
distance to closer
astronomical objects
Measuring the Distance to Astronomical Objects using parallax
Just a little Trigonometry…
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a sugar lump of this matter weighs 400 billion tons
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This star was previously detected by its Xray radiation, indicating a surface
temperature around 700,000∞. Its diameter is less than 28 km.
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High-energy pulsars emit x-rays and gamma rays
• Most pulsars emit both visible and radio
photons in their beams
• Older neutron stars just emit radio waves.
• Some pulsars emit very high energy radiation,
such as X-rays
– X-ray pulsars
– Magnetars
• Magnetars have very intense magnetic fields
that cause bursts of x-ray and gamma ray
photons.
X ray Images show on and off Crab Pulsar
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Magnetic field of pulsar is
directed towards the Earth
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Quark stars are hypothetical stars with densities larger than of neutral
stars
If neutrons are decomposed into
quarks, the star can get more
compact, but still be stable
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3C58 very high cooling
10 000 light years away
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X ray image of
J1856.5-3754
(initially thought
700 000K , 6 km
diameter, but the
estimates have
been changed)
400 light years away
The escape velocity limit can produce “dark stars”
•
Also recall that nothing can travel faster than the
speed of light, c, or 3108 m/s
RS 
•
2G  M
c2
Recall that the velocity necessary to
avoid being gravitationally drawn back
from an object (the escape velocity) is:
Vesc
2GM

R
Pierre-Simon de Laplace, 1796
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In reality one should consider general relativity: mass warps space
• Mass warps space in its vicinity
• The larger the mass, the bigger “dent” it
makes in space
• Objects gravitationally attracted to these
objects can be seen as rolling “downhill”
towards them
• If the mass is large enough, space can be so
warped that objects entering it can never
leave – a black hole is formed.
Black holes are probably the most mysterious objects in the present Universe
Chandrasekhar limit
1.4 Solar Mass for white dwarf
Less than 3 Solar mass for a neutron star
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Black Holes exist: S. Hawking lost his bet and provided one year
subscription of Penthouse to Kip Thorne!
“I paid the specified penalty, which was a one year
subscription to Penthouse, to the outrage of Kip's liberated
wife.” Stephen Hawking, “A Brief History of Time”
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Seeing a black hole
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Wassily Kandinsky “Black Square”
Rotating black hole obeys Kerr solution
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Roy Kerr, described in 1963
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Roger Penrose proposed a way of extracting
energy from a rotating black hole
Effects of black holes formation: hypernovae, gamma ray bursts
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Formation of collimated jets during
explosion
Accreting black hole as a microquasar
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Strong emission across a broad
range of wavelengths, rapid
variablility and radio jets
V4641 Sgr imaged just after
emitting an outburst in the radio
band. Jets, which lasted only
minutes, are visible. Image: VLA
Black holes emit radiation: Hawking model
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