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Hydrostatic equilibrium
- the sun isn't getting bigger or smaller
- gravity and pressure are in equilibrium
- the balance between the thermal pressure (outwards) and the weight of the material above pressing downward (inwards).
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Thermal equilibrium
- the sun is not changing in temperature due to expansion and contraction, depending on the necessary condition.
- if the sun cools down, it will contract and heat up from the inside.
- if the sun heats up, it will expand and cool down
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How much energy does a mars bar have?
1 million joules
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What would be the free-fall time of the sun?
28 minutes
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Nuclear fusion
- coming together
- small nuclei stick together to make a bigger one
- high temperatures enable fusion to happen in the core
- it occurs in sun and stars
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Corona
- 1 million K
- outermost layer of the solar atmosphere
- appears bright in X-ray photos in places where magnetic fields trap hot gas
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Convection zone
- 3rd layer of the sun (from inside out) where energy is transported upward by rising hot gas
- convection is the primary mechanism for the outer 29% of the sun's radius
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Photosphere
- about 6000 K
- 4th layer of the sun (from inside out)
- the visible surface of the sun. the layer that we see
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Core
- 15 million K
- 1st layer of the sun (from inside out) and energy is generated by nuclear fusion in the core
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Radiation zone
- 2nd layer of the sun (from inside out) and energy is transported upward by photons
- radiation (diffusion of photons) is the primary mechanism for the first 71% of the sun's radius
- energy leaks out of the radiation zone in forms of randomly bouncing photons
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Chromosphere
- about 10 000 - 100 000 K
- 5th layer of the sun (from inside out) and is the middle layer of the solar atmosphere
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Solar wind
- 7th "layer" of the sun
- a flow of charged particles from the surface of the sun
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Speed of light
- 3.0 x 108 m/s
- is a measurement of time, not distance
- "c"
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Fission
- breaking apart
- big nucleus splits into smaller pieces
- occurs in nuclear power plants
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Proton-proton chain/cycle
- how hydrogen fuses helium in the sun
- 4 protons ⇒ 4He, 2 gamma rays, 2 positrons, 2 neutrinos, energy
- the sun releases energy by fusing 4 hydrogen nuclei into 1 helium nucleus and energy, in a 3 step process
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Solar thermostat
- keeps burning rate steady
- decline in core temperature causes fusion rate to drop, so core contracts and heats up
- rise in core temperature causes fusion rate to rise, so core expands and cools down
- this is what keeps the sun in equilibrium
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Gravity
- the weakest force in nature, but controls the strongest force in nature
- 9.81 m/s²
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Convection
- rising hot gas
- takes energy to the surface
- ex. soup bubbling b/c it was left on the stove for too long
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Temperature vs. heat
- Temperature: average kinetic energy of the particles (molecules) in a substance. dominated by the velocities of the particles
- Heat: the total kinetic energy of a substance. thermal energy
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Kepler's 3rd law for the sun
a³/p² = 1 (only for the sun)
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Kepler's 3 Laws
- 1) each planet's orbit around the sun is an ellipse, with the sun at one focus
- 2) as a planet moves around its orbit, it sweeps out equal areas in equal times
- 3) the square of a planet's orbital period is proportional to the cube of its average distance from the sun (semi-major axis). p²=a³
Kepler's laws allow us to determine mass
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Atom
- proton, neutron ⇒ nucleus ⇒ electrons.
- electrons are smeared out
- the nucleus is the smallest part of the atom, but it contains most of the atom's mass
- atomic number: number of protons
- atomic mass: sum of the protons and neutrons
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Isotope
- forms of an element that have the same number of protons but different number of neutrons
- mass will be different
- ex. deuterium
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States of Matter
- solid: atoms and molecules are held tightly in place
- liquid: atoms and molecules remain together, but move freely
- gas: atoms and molecules move essentially unconstrained
- plasma: free electrons move among positively charged ions
as temperature increases, the bonds are loosened
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different forms of energy
- Kinetic energy: energy of motion. 1/2 mv²
- Potential energy: stored energy/mass energy. E=mc². speed of light is 3.0 x 108
- Radiative Energy: energy transported by light
- Gravitational Potential energy: (object/gas cloud has more GEP when it's spread out. a contracting cloud converts GEP to thermal energy)
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Light vs Sound
speed of light is 3.0 x 108 m/s. emission line (give off, bright spectral lines), absorption line (take in, dark spectral lines, there's a cutoff limit), continuous (incandescent light bulb, visible wavelengths) transmission (passing on, transparent objects), reflection (sending back, mirrors), scattering (deflecting/diffusion, movie screens). photons are particles of light. light travels in electromagnetic waves and doesn't need matter or material to carry its energy along. c= frequency X wavelength.
speed of sound is 340 m/s. needs matter or material to carry its energy along.
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Frequency of stations
- AM stations are kilohertz (KHz)
- FM stations are megahertz (MHz)
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Doppler effect
- the effect that shifts the wavelengths of spectral features in objects that are moving toward/away from the observer
- Doppler shifts tell us only about the part of an object's motion toward or away from us. Curved surfaces don't give an echo.
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Local Standard of Rest
follows the average motion of material in the Milky Way, in the neighbourhood of the Sun
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Molecular ion
generally the heaviest ion
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Stefan-Boltzmann Law
an object emits energy at a rate which depends on the fourth power of its temperature. it's measured in W/square meter and is called the energy flux.
F = σT 4
- σ= 5.67 x 10-8 Wm-2 K-4L= surface area x F= σT4 x 4piR2 = 4σpiR2T2
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Temperature vs Luminosity
- a small change in temperature = a big change in luminosity
- overweight stars are bad.
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Wein's Law
- the wavelength of maximum emission is given (where wavelength is measured in meters and T is measured in Kelvin) by wavelengthmaxT = 0.0029 mK
- the relationship b/w the energy of an object and its wavelength emission. the product is a constant.
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Age of the universe
- 13.73 billion years, to be exact
- about 14 billion years old
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Blackbody
- a perfect absorber that reflects no energy
- blackbodies keep people cooler b/c they trap air. air is the best insulator.
- blackbodies create an air gap
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Angular Resolution
- the smallest separation in angle b/w two objects.
- the minimum angular separation that the telescope can distinguish
- ultimate limit to resolution comes from interference of light waves within a telescope
- larger telescopes are capable of greater resolution b/c there is less interference
- advantages to bigger telescopes: more light comes in, higher resolution, D4
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Magneto-hydrodynamics
- the study of the magnetic properties of electrically conducting fluids
- ex. plasma, liquid metal, salt water, electrolytes
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Annie Maudner
- "lady computers"
- butterfly diagram
- The Heavens and Their Storyoriginal name was Annie Russel
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How does the sun generate magnetic fields?
through convection (rising hot gas)
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Measurement of brightness
watts per square meter
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Parallax
- the apparent shift in position of a nearby object against a background of more distant objects
- apparent positions of nearest stars shift by about an arcsecond as earth orbits the sun
- parallax angle depends on distance
- parallax is measured by comparing snapshots taken at different times and measuring the shift in angle to star
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Parsec
- the distance at which 1 AU subtends an angle of 1 arcsecond
- 1 pc = 206 260 AU = ~3.26 light years
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Arcminutes and Arcseconds
- 1°= 60 arcminutes
- 1 arcminute = 60 arcseconds
- ∴ for every degree, there are 3600 arcseconds.
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Magnitude Scale
- developed by the Greeks
- m = apparent brightness, M = absolute magnitude.
- brightness star 1 ÷ brightness star 2 = (1001/5)M1-M2Luminosity star 1 ÷ Luminosity star 2 = (1001/5)M1-M2
- Absolute magnitude is the magnitude a star would have if it was placed at 10pc
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Most Luminous ⇒ Least Luminous stars
106 - 10-4
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Properties of a star
- Luminosity (L= j/s or watts)
- Mass (most important property, drives everything)
- Composition (what the star is made of)
- Temperature (average kinetic energy)
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Spectrum Binary
- non-eclipsing, 1 set of lines moving back and forth.
- orbits a black hole
- through spectrum binary, you can tell the mass of a black hole
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Why do metals reflect?
b/c they are full of free electrons
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How long do "O" stars live for and why are they so hot?
- 1 million years
- b/c you don't see hydrogen. it's been ionized
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How to measure the temperature of a star?
- Wein's Law and Spectral Type (the group in which a star is classified according to its spectrum)
- Spectral Type is more precise
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Interstellar Reddening
- stars viewed through the edges of the cloud look redder b/c dust blocks blue light/shorter wavelengths more effectively than red light/longer wavelengths.
- long- wavelength infrared light passes through a cloud more easily than visible light
- observations of infrared light reveal stars on the other side of the cloud
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Harvard Calculators
women measured the spectral templates of stars, therefore figuring out the temperatures
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Degeneracy Pressure
- particles (electrons) can't be in the same place, laws of quantum mechanics prohibit it
- Degeneracy pressure doesn't depend on heat content
- it stops the contraction of objects < 0.08Msun before fusion starts
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Hertzsprung-Russell diagram and the instability strip
- hotter temperature to the left, higher luminosity when further up
- depicts temperature, colour, spectral type, luminosity and radius
the instability strip is a region in the HR gap, occupied by pulsating stars in a post main-sequence stage of stellar evolution
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From upper left to bottom right of the Main sequence...
- High-mass stars > 8 Msun
- Intermediate-mass stars are b/w 2 Msun and 8 Msun
- Low-mass stars <2Msun
- Brown dwarfs
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Initial Mass Function
an empirical function that describes the distribution of initial masses for a population of stars
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Isochrone
a line on a diagram/map connecting points relating to the same time or equal time.
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Wolf-Rayet stars
- heterogeneous set of stars with unusual spectra showing prominent broad emission lines of highly ionized helium and nitrogen or carbon
- drudge up stuff
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CNO cycle
- high-mass main sequence stars fuse H to He at a higher rate using carbon, nitrogen and oxygen and catalysts
- greater core temperature enables H nuclei to overcome greater repulsion
- one of 2 sets of fusion reactions, the other being the proton-proton chain
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Triple-Alpha process
a set of nuclear reactions by which 3 helium-4 nuclei (alpha particles) are transformed into carbon
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Why shouldn't you make lithium?
- it's under-abundant
- the universe can't make it efficiently
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Horizontal Branch
the stage in stellar evolution that immediately follows the red giant branch in stars whose masses are similar to the sun
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