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lectures 10-17
second exam
165
Astronomy
Undergraduate 1
10/07/2009

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Term
wavelength
Definition
the distance on a wave between two adjacent points having identical characteristics. the distance wave travels in one period unit: m
Term
speed
Definition
the rate of change of an object's position with time without regard to the 'direction' of movement, units: m/s, km/h
Term
frequency
Definition
the number of times per second that a periodic process occurs
Term
electromagnetic radiation
Definition
the waves of light are produced by the same things that produce electricity and magnetism. the motions of electrons and other charged particles
Term
greek letter lambda λ
Definition
the symbol typically used for wavelength
Term
the Angstrom
Definition
10^-8 com
Term
speed of light
Definition
* is constant
* fast- the fastest possible speed
Term
speed of light
Definition
c = 3 X 10^10 cm/s
c = 3 X 10^8 m/s
Term
relation between speed, wavelength, frequency
Definition
λν=c
Term
electrons
Definition
Term
white dwarf
Definition
Luminosity(solar)=10^-3
Radius(Solar Radii)=0.01(=EARTH RADIUS)
Density=10^6
Term
frequency of light
Definition
extremely high
Term
electron
Definition
mass (in electron massess): 1
electric charge: negative
Term
main sequence star
Definition
Luminosity(solar)=1
Radius(Solar Radii)=1
Density (gm/cm^3)=1
Term
proton
Definition
mass (in electron masses): 2000
electric charge: positive
Term
red giant star
Definition
Luminosity(solar)=10^2
Radius(Solar Radii)=50(1/4 AU)
Density (gm/cm^3)=10^-5
Term
neutron
Definition
mass (in electron masses): 2000
electric charge: none
Term
Supergiant star
Definition
Luminosity(solar)=10^6
Radius(Solar Radii)=1000(=5AU)
Density (gm/cm^3)=10^-9
Term
electric charges
Definition
_____ always surrounded by electric fields. the field extend, with rapidly decreasing strength, to infinite distance from the particle
Term
The Main Sequence
Definition
A long Clump of stars extending from the upper left corner of the HR Diagram to the lower right corner. Roughly 90% of all stars are main sequence stars. The sun is a main sequence star.
Term
charged particles exert force on each other by way of these fields
Definition
the fields of oppositely charged particles interact to pull the particles together
Term
The structure of atoms: Nuclei
Definition
contains protons and neutrons
Term
White Dwarfs
Definition
A long group of stars parallel to main sequence but 10,000 times fainter than main sequence stars. About 7% of stars are white dwarfs. (Some are hot and blue- white)
Term
charged particles exert force on each other by way of these fields
Definition
the fields of particles with the same charge interact to push the particles apart
Term
radius of an electron orbit
Definition
(size of the atom) 1 A
Term
Typical size of the nucleus of an atom
Definition
10^-4 A
Term
Red Giants
Definition
Stars above the main sequence, generally with temperatures near from 3000k to 5000k. About 3% of stars are redgiants. (many are cooler and orange-red.) red orange in color
Term
Light (as a vibration)
Definition
if a vibrating particle enters your eye and hits your retina, it makes the electrons in your retina vibrate
Term
Supergiants
Definition
A thin scattering of stars along the top of the HR Diagram. Very few stars are supergiants. These stars have luminosities up to 10^6 times greater than the sun.
Term
Density
Definition
density =mass/Volume
Term
Volume of a sphere(stars are sphere)
Definition
volume=(4/3)piR^3
Term
blue
Definition
4000A
Term
neutral atoms
Definition
have the same number of protons and electrons
Term
green
Definition
5500A
Term
red
Definition
6500A
Term
ionized atoms
Definition
unequal number of protons and electrons, almost always too few electrons
Term
Luminosity
Definition
Luminosity = Surface Area x Temperature^4
surface area 4piR^2
Term
invisible (ultraviolet light)
Definition
<4000A
Term
invisible (infrared light)
Definition
>7000A
Term
ionization is more likely...
Definition
at higher temperatures because at low temperatures most atoms are neutral
Term
mass of stars
Definition
all stars have roughly same mass
Term
Hertz (Hz)
Definition
peaks/second = cycles/second
(unit of frequency)
Term
a chemical element is determined by...
Definition
the number of protons in the nucleus of the atom
Term
White dwarfs are much smaller than main-sequence stars.....
Definition
so their densities are extremely high
Term
Hydrogen: # of protons and neutrons
Definition
Protons: 1 neutron: 0
Term
Supergiants are much larger than main-sequence stars....
Definition
so their densities are extremely low.
Term
Helium: # of protons and neutrons
Definition
Protons:2 neutrons:2
Term
carbon: # of protons and neutrons
Definition
p:6 n:6
Term
nitrogen: # of protons and neutrons
Definition
p: 7 n:7
Term
oxygen: # of protons and neutrons
Definition
p:8 n:8
Term
nitrogen: # of protons and neutrons
Definition
p: 7 n:7
Term
oxygen: # of protons and neutrons
Definition
p:8 n:8
Term
if two stars have the same temperatures but different luminosities.....
Definition
their surface areas must be different.
Term
iron: # of protons and neutrons
Definition
p:26 n:30
Term
uranium: # of protons and neutrons
Definition
p:92 n:146
Term
Hertzsprung-Russel (H-R) Diagram
Definition
The Hertzsprung-Russell Diagram is one of the most important tools for presenting information about stars.
The horizontal axis of the diagram is either the temperature of the star or something related to its temperature, such as its color. Note that the axis is plotted "backwards", with higher temperatures on the left and lower temperatures on the right.
The vertical axis of the diagram is the luminosity of the star. The luminosity is typically given in Solar Luminosities.
Each dot in an HR diagram represents one star.
Term
electron orbits properties: correct name for the orbits
Definition
energy levels
Term
Neutron Stars
Definition
temp=650,000k
radius= 12km
distance=400pc
mass 1.4solar mass
density=10^15 gm/cm^3
Term
emission lines
Definition
___ spectrum has light at just a few wavelengths
Term
electron orbits properties: the energy of an electron
Definition
The energy of an electron is greater in outer orbits than inner orbits
Term
electron orbits properties: innermost orbit
Definition
the ground state (1)
Term
Kirchhoff's second law
Definition
a hot, rarefied gas emits light at discrete wavelegth's, creating an emission line spectrum
Term
electron orbits properties: The next orbit from ground state is...
Definition
(2) and so on
Term
interpretation of Kirchhoff's second law
Definition
1. Suppose there is a group of atoms with many electrons in upper energy levels. This happens in a hot gas because collisions between atoms bump the electrons into upper energy levels.
The electrons in upper levels spontaneously jump to lower levels, emitting photons that carry away the difference between the energies of the levels.
The photons have wave frequencies -- and wavelengths -- corresponding to the energy differences.
Since the energy levels in the atom are discrete, the photons all have just a few common wavelengths.
Therefore the spectrum emitted by the gas has light at just a few wavelengths; it is an emission-line spectrum.
Term
Photon
Definition
a particle of light
Term
Newton's Version of Kepler's Third LAw
Definition
M1 + M2 =D^3/P^2
D=seperation of stars in AU
P=orbital period in years
M1 + M2= the sum of the stars in solar masses
Term
qualities of photons:
Definition
Mass: no mass Speed: 3 x 10^10 (always the same)
Term
quantum energy
Definition
the amount of energy a photon carries
Term
doppler effect
Definition
describes how velocity changes the wavelength of a wave.
Term
E=hv stands for:
Definition
(photon energy)=(constant)x(wave frequency)
Term
doppler effect
when an object emitting a wave moves toward you
Definition
the wavelength of the wave gets shorter
Term
doppler effect
when the object emitting a wave is moving away from you...
Definition
the wavelength gets longer
Term
rest wavelength
Definition
the wavelength emitted by the object
Term
h (Planks constant)=
Definition
6.6 x 10^-27
Term
observed wavelength
Definition
wavelength measured by the observer
Term
Kirchhoff's Third Law
Definition
if light with a continouos spectrum passes through a cool, low-density gas, the gas removes light at discrete frequencies, producing an absorption light spectrum
Term
interpretation of Kirchhoff's third law
Definition
Suppose there is a group of atoms with their electrons all in the lowest energy level, the ground state. This happens in cool gases.
Shine a beam of light with a continuous spectrum through the atoms.
The electrons in the atoms absorb photons whose energies correspond precisely to the difference between the energies of the ground state and any upper energy level. The electron jumps to the upper energy level.
The absorbed photons have wave frequencies -- and wavelengths -- corresponding to the energy differences.
Since the energy levels in the atom are discrete, the absorbed photons all have just a few common wavelengths.
Photons have, therefore, been removed from the continuous spectrum at just a few wavelengths, producing absorption lines and an absorption-line spectrum.
Term
When is a photon emitted?
Definition
When an electron in an atom jumps from a higher energy level to a lower energy level.
Term
radial velocity
Definition
motion directly towards or away from you
only motion that affects the wavelength
Term
Spectral Type O
Definition
>30,000 Kelvin ; typical absorption lines : hydrogen, neutral and ionized helium
Term
after a photon is emitted, it...
Definition
carries away the difference between the 2 energy levels
Term
What is the difference between two energy levels when an electron jumps from energy level 3 to energy level 2 and emits a photon:
Definition
E= E3-E2
Term
Wave frequency of emitted photon:
Definition
v= E/h
Term
The wavelength of the photon:
Definition
lamda= c/v
Term
higher frequency=
Definition
higher energy level
Term
shorter wavelength=
Definition
higher energy level
Term
spectral type A
Definition
temp: 9000oK; strong hydrogen
Term
spectral type G
Definition
temp: 5,500oK; neutral and ionized metals
Term
Spectral Type M
Definition
temp: 3000oK neutral metals molecules
Term
memonic device
Definition
"Oh, Be A Fine Guy, Kiss My Lips"
Term
equation for the position of the peak in its continuous spectrum
Definition
λmax = 2.9 X 10^7
Term
equation for luminosity of an object emitting black body radiation
Definition
L = (area) x T^4
Term
annual parallax
Definition
the fundamental way to measure the distances to stars by noting the motion of a foreground star against a background of stars so far away they appear fixed
Term
The Doppler shift applies to any wave......
Definition
including the light emitted be stars (or galaxies, or anything else). If a star is approaching, the observed wavelength of its light is shorter than the emitted wavelength. We say the light is blueshifted. If the star is traveling away, the observed wavelength is longer and we say the light is redshifted.
Term
water freezes
Definition
273oK
Term
long wavelength=
Definition
low pitch
Term
water boils
Definition
373oK
Term
iron vaporizes
Definition
3000oK
Term
short wavelength=
Definition
high pitch
Term
5800oK
Definition
sun's surface
Term
Annual Parallax: The basic principle is called...
Definition
triangulation. Consider a long, skinny triangle. The length of the triangle can be calculated if the length of the base and the angle at the narrow apex are known.
Term
The Doppler shift equation
Definition
v / c = (λ - λ R) / λ R
where
v = the radial velocity (has the same units as c)
c = the speed of light
λ = the observed wavelength
λR = the emitted (rest) wavelength
Term
A positive radial velocity means
Definition
the object is moving away
Term
A negative radial velocity mean
Definition
the object is approaching
Term
base of the triangle:
Definition
The positions of the Earth in its orbit around the sun at two times 1/2 year apart.(The length of the base is 2 AU.)
Term
base of the triangle: star to be measured position
Definition
The star to be measured is at the apex of the triangle.
Term
temperature
Definition
measures how fast atoms and molecules are moving; particles moving at higher speed have higher __________
Term
The symbol for the parallax angle is...
Definition
P
Term
equation used to convert parallax to distance:
Definition
D(parsecs) = 1 / P(arcseconds)
Term
How do we know the rest wavelengths for stars?
Definition
We use absorption lines in the star's spectrum
Term
parsec
Definition
defined as the distance to a star whose parallax is 1 arcsecond.
Term
1 parsec (pc) =
Definition
3.26 light years
Term
The parallax of a centauri equation
Definition
D=1/P= 1/.0742=1.35pc
Term
Kelvin
Definition
celcius + 273
Term
Kirchhoff's first law
Definition
Crucial concept: A spectrum is a plot of the amount of light emitted at each wavelength. The vertical axis (the amount of light) is sometimes given as "Intensity" and sometimes as "Flux". The horizontal axis (wavelength) is often given in Ångstroms
Term
Star: Alpha Centauri
Definition
Distance:1.3pc triple star
Term
Kirchhoff's First Law:
Definition
A hot solid, liquid, or opaque gas emits light at all wavelengths, forming a continuous spectrum.
Term
Star: Barnard's Star
Definition
D: 1.8 faint red star
Term
Star: Wolf 359
Definition
D:2.4 faint red star
Term
Star: Lalande 21185
Definition
d:2.5 faint red star
Term
Star: Sirius
Definition
d: 2.6 double star
Term
Most stars are:
Definition
a parsec away and are faint and red
Term
how can temperatures be measured?
Definition
temperatures can be measured, from their spectral type, their color, and from the wavelength
Term
More than half of stars are in
Definition
double or triple star systems
Term
black body radiation and temp
Definition
in ideal conditions the continuous spectrum emitted bu a hot, solid or liquid or opaque gas
Term
blackbody radiation
Definition
Hot objects emit more energy than cool objects.
The continuous spectrum has a single, broad maximum.
The wavelength of the maximum depends on the temperature of the object that emitted the light.
The relation between the wavelength of the maximum and the temperature of the emitting object is:
Term
Because of the Doppler shift, the spectrum of an approaching star
Definition
is blue-shifted
Term
Because of the Doppler shift, the spectrum of a receding star
Definition
is red-shifted
Term
as two stars in a binary system travel around their orbits
Definition
their spectra oscillate back and forth between redshift and blue shift.
Term
The radial velocities of the stars can be calculated from the shift of their spectra using the Doppler shift formula
Definition
A graph of the radial velocities against time is called a radial velocity curve.
Term
two stars orbiting each other in a binary star system. one star is approaching us and the other is receding. Half an orbital period later.....
Definition
the stars have reversed themselves. The first star is now receding and the second is approaching
Term
The information needed to apply Kepler's Third Law can be extracted from the radial velocity curve:
Definition
The orbital period P is the length of time it takes the radial velocity curve to repeat itself.
If the orbit is edge-on, the true velocities of the stars in their orbits are given by the maximum and minimum radial velocities in the radial velocity curve. (If the orbit is not edge on, things get much more complicated.)
The radius of each orbit is given by R = (v P) / (2 π), where v is the velocity of the star in its orbit and P is the orbital period (you do not need to remember this equation). The separation of the stars D is equal to the sum of the orbital radii of the two stars.
The ratio of the masses is given by the ratio of the orbital radii.
Term
Barnard's Star details:
Definition
has the fastest proper motion(motion across the sky)
180 years to move a distance equal to the diameter of the moon in our sky.
Term
Normal stars have masses between
Definition
0.08 and 100 solar masses. Most have masses between 0.1 and 5 solar masses.
Term
White dwarfs have masses between
Definition
0.3 and 1.4 solar masses. Most have masses very close to 0.6 solar masses.
Term
Neutron stars all seem to have masses close to
Definition
1.4 solar masses.
Term
If a star is on the main sequence, its position on there is determined almost entirely by
Definition
its mass. (Its chemical composition and age also have a small effects.) This means that a main-sequence star's temperature, luminosity, and radius are determined almost entirely by its mass.
Term
older differ from younger
Definition
more helium and hydrogen but not completely helium and hydrogen
Term
Luminosity-
Definition
the amount of energy the star emits
Term
composition of stars
Definition
Hydrogen 75%, helium 25%, all others 2% (carbon, oxygen, nitrogen etc.)
Term
brightness of a star depends on:
Definition
1)the luminosity
2)star's distance
Term
composition of extremely old stars
Definition
Older stars have a lower abundance of heavy elements (heavy elements are all elements except hydrogen and helium).
The older the star the lower the abundance of heavy elements.
The oldest stars found so far are almost (but not entirely) entirely hydrogen (75%) and helium (25%).
Term
Spectral Type O
Definition
Temperature (K) >30,000Typical Absorption Lines= hydrogen, neutral and ionized helium
Term
Spectral Type B
Definition
Temperature (K) =15,000 Typical Absorption Lines=hydrogen natural helium
Term
Spectral Type A
Definition
Temperature (K) =9,000 Typical Absorption Lines=Strong Hydrogen
Term
Spectral Type F
Definition
Temperature (K) = 6,500 Typical Absorption Lines=hydrogen ionized metals
Term
Spectral Type G
Definition
Temperature (K) = 5,500 Typical Absorption Lines=neutral and ionized metals
Term
chemical composition
Definition
The amount (or abundance) of each chemical element in stars
Term
Spectral Type K
Definition
Temperature (K) = 4,000 Typical Absorption Lines=neutral metals
Term
Spectral Type M
Definition
Temperature (K) = 3,000 Typical Absorption Lines= neutral metals molecules
Term
Spectral Type L
Definition
Temperature (K) = <2,500 Typical Absorption Lines=molecules, dust
Term
Luminosity of the sun:
Definition
4x10^33 ergs/sec
Term
units of luminosity
Definition
ergs/sec
Term
Spectral types G, K, and M
Definition
These stars are cool and their hydrogen atoms are both neutral and unexcited. The only photons the hydrogen atoms can absorb have ultraviolet wavelengths, such as 1216 Å, so these stars do not show hydrogen lines in the visible region of their spectra.
Term
100 WATTS= (ergs/sec)
Definition
10^9 ergs/sec
Term
Spectral types F, A, and B
Definition
These stars are hot enough to excite their hydrogen atoms but not hot enough to ionize the hydrogen. Many electrons are in the n = 2 energy level and can absorb photons at wavelengths like 6563 Å. These lines are at visible wavelengths, so these spectral types show strong lines of hydrogen in the visible region of their spectra.
Term
Spectral type O
Definition
These stars are very hot, so most of the hydrogen atoms are ionized. Ionized hydrogen has no electrons, and therefore cannot produce absorption lines.
Term
1 Solar Luminosity=
Definition
4x10^33 ergs/sec
Term
Measure Luminosity by
Definition
1)measure brightness
2)distance of the star
3)energy received decrease as the square of the distance
Term
inverse square law for the propagation of light
Definition
brightness= luminosity/d^2
Term
Kepler's third law
Definition
(M1 + M2) = D^3 / P^2
Term
Why is the sequence of spectral types a temperature sequence?
Definition
Temperature affects the appearance of stellar spectra because of ionization and excitation.
Term
Ionization: Why is the sequence of spectral types a temperature sequence?
Definition
The spectra of ionized and neutral atoms of the same element are different.
The atoms in a high-temperature gas move at high speeds, so collisions between atoms are more violent at high temperatures. If the temperatures are high enough and the collisions hard enough, an electron can be knocked out of one of the atoms.
Thus, Atoms are more likely to be ionized at high temperatures. For example, the helium in hot stars (30,000 K) is ionized, while the helium in cooler stars (15,000 K) is neutral.
Term
Hot stars are more likely to show lines of ionized elements than cool stars
Definition
Note that O stars have lines of ionized helium, while B stars have lines of neutral helium; and the sequence from F stars to K stars shows decreasing amounts of ionized metals.
Term
The effects of excitation on stellar spectra
Definition
If an electron is in a higher energy level than normal, both the electron and the atom are called "excited."
Atoms do not generally stay excited very long because an excited electron will spontaneously jump to a lower energy level.
The spectral lines from excited atoms have different wavelengths than the lines of unexcited atoms. For example:
If the electron in a hydrogen atom is in the n = 1 energy level (unexcited), it can only absorb photons whose energies correspond to jumps from energy level 1 to higher levels. It can only absorb photons with wavelengths such as 1216 Å and 1026 Å.
If the electron is excited to the n = 2 energy level, it can only absorb photons whose energies correspond to jumps from level 2 to yet higher levels. It can only absorb photons with wavelengths such as 6563 Å and 4861 Å.
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