Transcript Week 11

Birth and
Death in Stars
Evidence of Star Formation
• forming stars are usually embedded in clouds
Evidence of Star Formation
• forming stars are usually embedded in clouds
The Life of a Star
PHASES:
WHAT CHANGES THINGS:
GAS CLOUD
• gravity pulls part of cloud together
PROTOSTAR
• nuclear reactions begin in star’s core
MAIN SEQUENCE
STAR
• hydrogen fuel runs out in center of star
LOW MASS
HIGH MASS
RED GIANT
PLANETARY
NEBULA
WHITE
DWARF
SUPERGIANT
• other fuels run out in center of star
SUPERNOVA
NEUTRON
STAR
BLACK
HOLE
.
Luminosity
The HR
Diagram
• position in
diagram tells us
what stage of life
a star is in
Temperature
Protostar:
“pre-star” without nuclear fusion
PROTOSTAR
SHRINKS AND
HEATS UP
PROTOSTAR
BEING
ASSEMBLED
NUCLEAR FUSION
STARTS
Luminosity
Main Sequence Stars
highest mass
SPICA:
107 yr lifetime
SUN
10
10 yr lifetime
lowest mass
Temperature
PROXIMA CENTAURI
.
lifetime greater than age
of universe
Thought Question
Which of the cut-away views below best represents
what is happening in the core of a star at the
very end of its main sequence phase?
(“” means nuclear reactions are happening,
H = hydrogen, He = helium, C = carbon)
Running Out…
• nuclear fuel runs out at the
center of the star first…
where reactions happen
fastest (and where it is
hottest)
Rules for Stars
• pressure supports star and
opposes gravity
CROSSSECTION
GRAVITY
• nuclear reactions release
energy that keeps gas hot
and maintains pressure
• stars use up nuclear fuel at center first
(where gas is hottest)
• when fuel runs out, gravity crushes star’s
core and causes a temperature rise
Becoming a Giant
 H fusion in core ends
and core is crushed and
heated…
mostly H
 Fusion continues in a
“shell” surrounding the
He core …
He
 Large energy release
makes envelope expand
CROSSSECTION
Thought Question:
As the Sun becomes a red giant, its…
A. luminosity and
temperature
increase
B. luminosity increases
and temperature
decreases
C. luminosity decreases
and temperature
increases
D. luminosity and
temperature
decrease
Life Track of a Sun-Like Star
He fusion
H fusion
Nuclear Reactions
FUSION: small nuclei combine together IF they collide
fast enough
• example: hydrogen
• higher temperature is needed for new nuclear fuels
because:
– nuclei have larger charges
– nuclei are more massive (and slower)
Thought Question
Compared to the first step in H fusion, the
electrical repulsion between nuclei in the
following fusion reaction is how many times
larger?
=proton
=neutron
Life stages
of a lowmass star
like the Sun
Planetary
Nebulae
• low-mass star pushes
most of its gas into
space, exposing hot
core
nuclear reactions stop
star cools forever…
• gas is illuminated by
hot white dwarf
The Ring
Nebula
(planetary nebula)
• gas moving about
30 km/s
• How old is this
nebula?
ABOUT 1.3
LIGHT-YEARS
White Dwarfs
Nearest example:
Sirius B
 MANY others probably
out there
densely packed
electrons resist being
crushed
nuclear reactions no
longer needed to
support star
SIRIUS B
“Degeneracy”
Certain kinds of particles
(like electrons and
neutrons) don’t like
looking EXACTLY like
others…
“THE EXCLUSION PRINCIPLE”
example: electrons in
atomic orbitals
TWIN CLOSET
if forced together, they
must have:
different spin
orientation
OR
different motion
Low-Mass Star Corpses: White Dwarfs
neutron star
.
• pressure comes from “degenerate” electrons
• star about same size as Earth
• higher mass white dwarfs are smaller
BUT… can’t be larger than 1.4 M or collapse!
High-Mass Stars (M > 9 MSun)
• massive stars zig-zag
in HR Diagram using
new fuels:
new
nuclear fuel
ignites
core of star
shrinks,
heats up
fuel used
up
… until last fuel is
used up
SUPERGIANTS
The End for a Massive Star
Supergiant:
“onion skin”
structure in core:
iron core gets too massive
and collapses…
BUT heat CANNOT be released by nuclear
reactions using iron…
Star Death
Learn what
happened by
looking at:
 expanding gas
cloud
 energy release
 star corpse
Crab Nebula
ABOUT 12 LIGHT-YEARS
Thought Question:
How high will the small superball bounce when I
drop the stack of 4 superballs from 1 foot
above the ground?
A. It won’t bounce – it will come to a dead stop.
B. It will bounce back to its start (1 foot).
C. It will bounce twice as high (2 feet).
D. It will bounce 4 times as high (4 feet).
E. It will hit the ceiling.
CUT-AWAY VIEW
OF STAR CORE
COLLAPSE
“MAXIMUM
SCRUNCH”
EXPANSION
Massive Star
Corpses
Iron core collapses and forms tiny
neutron star:
(protons, electrons crushed together to make
neutrons)
CITY SIZE!!!
10 km
 none found with more than 3 Msun
 collapsing gas “bounces” off to start
supernova explosion
The Crab Nebula
 pictures taken in
1973 and 2001
CORPSE
Energy Release
• energies can help reveal
what happened…
 how much total energy
is released?
(how violent was the
star’s death?)
 what kinds of energy
are released?
 where could the energy
have come from?
SUPERNOVA
Where Does Energy Come From?
•
Fusion? For H fusion over star’s whole life:
Enuc » 0.0006 × M*c
•
Gravitational potential energy:
1 GM corpse
EP »
2 Rcorpse
2
2
How Much Energy is Released?
PLANETARY
NEBULA
(low-mass star)
Light: total released
SUPERNOVA
(high-mass star)
1039 J
1043 J
v » 20 km/s
v »1500 km/s
38
10 J
1044 J
0
1046 J!
Gas kinetic energy:
1
E K » mgasv 2
2
Neutrinos: electrons,
protons combine
to form neutrons
and…
Thought Question:
Supernova explosions spread heavy elements
like iron into space. If you find a star that
has a smaller abundance of iron than the
Sun, it is
A. probably younger than the Sun.
B. probably older than the Sun.
C. not possible to tell the star’s age
You are Star Stuff
Dying stars give important chemicals back:
• supernova explosions (main source of Fe)
• planetary nebulas (source of C, N, O)
STAR
FORMATION
LOW-MASS
STAR DEATH
HIGH-MASS STAR
DEATH
POLLUTION OF GAS CLOUDS
Mass
 Very important in astronomy…
v
Mass measurement allows us to:
• distinguish between different types of planets
• predict future lives of stars
• quickly identify how much “stuff” is in
something very big (like the Milky Way)
r
M
• find matter even when it is “dark”
P
m
Listen:
#1
#2
Two videos involving a car horn…
Listen to the PITCH…
Sound Waves
You hear a certain pitch
when a sound source
and you are stationary…
…imagine sound waves
spreading out like ripples
in a pond
lobserve = lemit
The Doppler Effect
Applet
Applet 2
Moving apart (“REDSHIFT”):
Moving closer (“BLUESHIFT”):
train’s motion adds a little
train’s motion removes a little
distance between each wave… length from each wave…
larger wavelength/lower frequency smaller wavelength/higher frequency
Measuring Star Speeds
Radial velocity: rate of change of distance between two objects
 negative if distance is decreasing
 positive if distance is increasing
distance covered
during the time it takes
to make one wave
vr
d = vr × t =
f
vr
vr lemit
lobs = lemit + = lemit +
f
c
æ vr ö
lobs = ç1+ ÷ lemit
è cø
Doppler shift tells us ONLY about the part of an
object’s motion toward or away from us:
vr
pure “radial velocity”
vt
pure “transverse velocity”
vr
mixture
vt
Thought Question:
The laboratory spectrum below shows emission
lines from hydrogen. If the spectrums of the
other objects also show hydrogen, which is
moving away from us fastest?
A.
B.
C.
D.
Thought Question:
A policeman’s radar gun uses the Doppler effect, but it is
not always able to measure total speed accurately.
In which situation below would the cop be able to
measure your speed using just the radar gun?
A.
B.
C.
D.