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measuring surface temperature
measure blackbody spectrum and use Wien’s law
measuring distance
measure parallax
measuring luminosity
measure apparent brightness and combine with distance
measuring chemical composition
measure the star’s spectrum
spectral lines
balmer series
series of absorption and emission lines beginning and ending in the n=2 level of hydrogen
electrons must be in n=2 shell, ready to jump up in order for lines to show
heating up hydrogen promotes electrons to this shell
main sequence stars
dwarf stars
not all small
still fusing hydrogen in their cores
alive
share the same energy source
come from other parts of the HR diagram, settle there, stay for a large fraction of their lives, then evolve away
cannot travel up or down the sequence
stefan-boltzman equation
amount of light emitted per square meter of surface
L = SA * constant
for blackbody radiation
red dwarfs
M class main sequence stars
actually small
low mass, long lifespan
yellow dwarfs
G class main sequence stars
like the sun
blue dwarfs
O class main sequence stars
large
high mass, short lifespan
white dwarfs
actually small
about the size of earth
below main sequence
not fusing hydrogen in core
dead
star lifetimes
lifetime = mass/luminosity
mass: mass in core
luminosity: burn rate, amount of energy being released per second
large mass stars also release more energy
shorter lifespans
open clusters
don’t have defined boundaries
associated with clouds of gas
globular clusters
globe-like, round balls of stars
have more stars than open clusters
ancient
main sequence turnoff
determines the age of a cluster
equal to the lifespan of the shortest-lived star still on the main sequence
most massive and luminous star
HII regions
clouds of hot, ionized hydrogen gas
pink areas in a galaxy (under visible light)
singly ionized hydrogen: missing its only electron, proton only (H+)
molecular clouds
clouds of molecular hydrogen (H2)
dust made up of tiny solid particles
dark areas in a galaxy (under visible light)
bright areas under infrared light
very cold: emit little visible light, but some infrared light
engines of star formation
have clusters of blue stars in their cores that indicate origin of stars
infrared light
passes through dust more easily than visible light
can show stars forming deeply embedded in dusty gas clouds
molecular cloud core
spherical ball of gas and dust
can only remain stable for a short period of time
eventually its own gravity will take over and compress it
molecular cloud fragment collapsing
conservation of energy: heats up
gravitational potential energy converted to kinetic energy
atoms move faster, high temp
protostars
formed at the core when atoms of a cloud fall inward and speed up
not a star
not undergoing fusion reactions in core
on the way to become pre-main sequence stars
core needs to reach 10 million K for the proton proton chain to begin
before then, mutual electric repulsion prevents collision
protostellar disk
as molecular cloud core collapses, rotation causes it to flatten into a disk
surrounds a protostar
produces jets of material
pre-main sequence star
fusion reactions in core create enough pressure to counterbalance star’s gravity
gravity crushing the star balances with energy being release
gravitational star collapse slows and stops
star lands on main sequence and becomes a zero-age main sequence star
stays like this for a really long time
hydrostatic equilibrium
when a star is neither expanding nor contracting
while a star is on the main sequence
outward pressure from energy release due to hydrogen fusion exactly balances inward pull of gravity
high mass stars
starting masses above 8 solar masses
O and B stars
do not die quietly
low mass stars
starting masses below 8 solar masses
A through M stars
die quietly
all become white dwarfs
hydrogen shell burning
layer of hydrogen around helium core reaches temperature and density needed to start fusing hydrogen
release of extra energy causes outer layers of star to slowly expand
helium flash
helium core reaches right temperature for nuclear fusion
occurs about a billion years after star leaves main sequence
happens extremely fast (in a few minutes)
horizontal branch
energy of helium flash expands core, hydrogen shell burning slows
star shrinks and settles into new equilibrium
don’t spend much time on this line
asymptotic giant
star accumulated core of inert carbon and oxygen
dead now
will never get hot enough to fuse carbon or oxygen
will die permanently
degeneracy pressure
core of inert helium ash isn’t producing enough new energy
can’t sustain pressure needed to oppose gravity
stops further contracting of core
prevents core from collapsing past white dwarf stage
doesn’t stop collapse of iron core
you can only force electrons in stars to get so close to one another before they exert strong repulsion
electron degenerate matter is very dense, resist crowding
pauli exclusion principle
each shell in an atom can only hold a fixed number of electrons
i.e. 1s shell can hold only one spin up and one spin down electron
white dwarf
exposed C/O core of a low-mass star that has expelled its outer layer
planetary nebula
expelled outer layers of a dead low-mass star
energy release from helium fusing propels outer layers into space
binding energy
how tightly bound the nucleus of an atom is
changes from atom to atom
so does mass per nuclear particle
iron has lowest mass per nuclear particle
changes in mass
separating two objects that are attracted to one another by force requires that you supply energy
that energy is added to the mass of the objects
fusion
if starting with lighter elements
hydrogen, helium, etc.
fusing them together lowers the mass per nuclear particle
releases energy
i.e. the Sun
fission
if starting with a heavy atom
uranium, lead, etc.
splitting the nucleus lowers the mass per nuclear particle
releases energy
i.e. nuclear power plant
iron core
developed very quickly
once developed, star can no longer produce energy
nuclear particles have lowest masses in iron nuclei
neither fission nor fusion can extract energy from nucleus
can’t produce pressure needed to resist gravity
core begins to collapse
neutron degeneracy pressure
kicks in after neutronization
neutrons suddenly refuse to get any closer to one another
neutrinos rush out
star explodes in supernova
supernova
can outshine a galaxy
releases a lot of energy
as much as the sun will in 10 billion years
type ii supernova
originate from massive stars
strong spectral lines of hydrogen
core-collapse
chandrasekhar limit
1.4 solar masses is the maximum mass for white dwarf stars
beyond that, electron degeneracy pressure can’t support against their own gravity
type ia supernova
originates from low mass stars
white dwarf that exceeds Chandrasekhar limit
can occur if it’s in a binary system with another star
needs to get close enough to gather material
large portion of white dwarf immediately undergoes fusion reactions
explodes
supernova remnants
shells of expanding gas left over by supernovae
some don’t leave any
some undergo core collapse afterward and form a black hole
expand and dissipate over tens of thousands of years
rejoin gas and dust of interstellar medium
elements heavier than hydrogen and helium may get incorporated into new stars and planets
final state of a dead star
depends on initial mass and sequence of events that occur to it
more difficult to predict for massive stars
lose large but uncertain fractions of their mass due to stellar winds
lose mass before becoming a supernova
failed supernova
stars that collapse directly to form a black hole
no supernova
can happen if outflowing neutrinos fail to drive off outer layers before they fall into collapsing core
neutron star
supernova remnant between 1.5-3 solar masses
if the ball of neutrons from type ii supernova doesn’t collapse to form a black hole
spin much faster than the star they formed from
pulsar
type of neutron star
strong magnetic fields channel charged particles form the star into beams
sweep around the sky as neutron star rotates
beams often misaligned with rotation axis
if you align with a beam, you detect pulses of radio waves
rotate very quickly
collapsed a lot relative to original state as the core of a massive star
millisecond pulsars rotate more than 1000x per second
near-infrared view of milky way
passes through dust easily
can see thin, disk-like structure
far-infrared view of milky way
can see mainly dust, no starlight
cold dust
galactic disk
thin, only a few thousand light years
contains most of the dust and gas in the milky way
new star formation
younger, bluer stars
contains open star clusters
stars orbit in circles with the same orientation
except some up and down motion
starburst galaxy
galaxy that is undergoing an exceptionally rapid burst of star formation
star formation can drive a super wind that forces hydrogen out the galaxy
often triggered by gravitational interactions among galaxies
milky way may have once been one
galactic bulge
less dust and gas
less new star formation
older, redder stars
in most spiral galaxies, contains supermassive black hole
stars have orbits with random orientations
galactic halo
has very few stars over all
contains globular clusters
i.e. omega centauri
stars travel high above and far below the disk
on orbits with random orientations
majority of dark matter
galaxy rotation curve
orbital speeds of stars, nebulae, etc. inside galaxies
speed increases as you move away from the centre, then levels off
flattens out at large radii
counters expectation that speed would decrease at large radii
total mass of galaxy
measured when we fit a galaxy’s rotation curve
actually distributed throughout galaxy, not concentrated by the centre
must be much bigger than the combined masses of all their parts
baryonic matter: made of protons and neutrons
implies existence of dark matter
dark matter
must model each galaxy as embedded in a sphere of non-baryonic matter in order to reproduce rotation curves
only explanation
90% of milky way
unsure what it is made of, most likely a new form of matter
something that doesn’t interact with light but does produce a force of gravity
doesn’t emit, reflect, or absorb light
some portions may be non-baryonic matter we already know about
i.e. neutrinos or black holes
gravitational lensing
amount of lensing in each case is more than can be explained by the luminous mass of the lensing object
more proof of dark matter
colliding galaxy clusters
i.e. bullet cluster
can use gravitational lensing to find where most of the mass in the cluster is located
most of the mass passed through the collision and is still in the clusters
did not collide with itself, went through one another
X ray imaging shows that the huge clouds of hot gas that make up most luminous mass in the pair is located between them
hot gas collided with itself via EMF interaction and slowed down
dark matter is collision less: doesn’t interact with itself, except by gravity
weakly interesting massive particles (WIMPs)
particles that only interact via gravity and maybe another weak force