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The Nature Of Stars
Review for Exam 2
75
Astronomy
Undergraduate 2
02/16/2006

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Cards

Term
What is the relation between a star's apparent magnitude and absolute magnitude?
Definition
m - M = 5 log(d/10)
or m - M = 5 log(d) - 5
Where m = apparent magnitude
M = Absolute magnitude
d = distance to star in parsecs
Term
What is the order of spectral classes in order of decreasing temperature?
Definition
OBAFGKM
("Oh, be a fine girl, kiss me")
Term
A star with surface temperature of 5800 K and a luminosity of greater than 100 times that of the sun is a member of which luminosity class?
Definition
III Giant
Term
A star with surface temperature of 5800 K and a luminosity of greater than 1000 times that of the sun is a member of which luminosity class?
Definition
I Supergiant
Term
A star with surface temperature between about 6000-20000 K and a luminosity less than 100 times that of the sun is a....
Definition
white dwarf
Term
What is the relation between distance and parallax?
Definition
d = 1 / p''
Term
A magnitude difference of 1 corresponds to a factor of ____ in brightness
Definition
2.512
Term
The color index of a star (the difference between the apparent magnitudes B and V at two different colors, blue and visual) is a direct measure of what property of the star?
Definition
Surface temperature
Term
Compared to a star in the middle of the HR diagram, a star in the lower left part is...
Definition
smaller
Term
Compared to a star in the middle of the HR diagram, a star in the upper right part is...
Definition
bigger
Term
Giants and supergiants make up about what percentage of stars in the sky?
Definition
About 1%
Term
About how big are white dwarfs?
Definition
Approximately the same size as Earth
Term
What proportion of visible stars in the nighttime sky are binary or multiple-star systems?
Definition
nearly 50%
Term
What is Kepler's third law?
Definition
M1 + M2 = a^3 / P^2
Where M1, M2 are masses of two stars in a binary system, in solar masses
a = semimajor axis of one star's orbit around the other, in AU
P = Orbital period, in years
Term
What is the density of a white dwarf?
Definition
p = 1.6 x 10^5 g/cm^3
Term
One spoonful of a white dwarf weighs how much?
Definition
50 tons
Term
Where do we find the most massive stars on the Main Sequence in the HR diagram?
Definition
Upper left end
Term
What is the luminosity of the most luminous main sequence star? The least luminous?
Definition
L = 50,000 solar
L = 0.005 solar
Term
What is the radius of the most luminous stars in the main sequence? The radius of the least luminous?
Definition
R = 400 solar
R = 0.1 solar
Term
What is the surface temperature of the most luminous star in the main sequence? The least luminous?
Definition
T = 45,000 K
T = 3000 K
Term
What is the stellar type of the most luminous star in the main sequence? Of the least luminous?
Definition
O5, M5
Term
The most important datum about the nearby stars is that they are ______________
Definition
Intrinsically faint
Term
How many of the nearest 50 stars are visible to the unaided eye?
Definition
10 of the 50 nearest stars are visible to the unaided eye.
Term
How many of the nearest 50 stars are as intrinsically luminous as the Sun?
Definition
3 of the 50 nearest stars are as intrinsically luminous as the Sun
Term
43 of the nearest 50 stars have luminosities less than _____ solar
Definition
0.01 solar
Term
If the stars in our immediate stellar neighborhood are representative of the stellar population in general, we must conclude that the most numerous stars are those of _________________ (what characteristic)
Definition
Low luminosity
Term
In the sample of the nearby stellar neighborhood, how many of the stars are as luminous as the sun?
Definition
About 1 in 20
Term
In the sample of the nearby stellar neighborhood, what % of the stars are main sequence and what % are white dwarfs?
Definition
90 % are main sequence
10 % are white dwarfs
Term
How many stars are within 5 pc of Earth?
Definition
59 stars within 5 pc
Term
Only __ of the 43 nearest stars are among the 20 brightest stars. What are they?
Definition
3:
Sirius
Alpha Centauri
Procyon
Term
Nearby stars tend to have what kind of proper motion?
Definition
Large, fast proper motion
Term
How many of the 20 brightest stars are within 10 pc of the Sun?
Definition
Only 6 of the 20 brightest stars are less than 10 pc away
Term
The HR diagram is a statistical plot of what two stellar parameters?
Definition
Luminosity and Surface Temperature
Term
What is the most significant feature of the HR diagram?
Definition
That the stars are not distributed at random, but rather they cluster together into certain parts of the diagram
Term
What are the 4 regions of the HR diagram?
Definition
Main sequence, red giants, supergiants, white dwarfs
Term
Luminosity is proportional to what values?
Definition
L <>< R^2 T^4
Term
What is the relationship between mass and luminosity?
Definition
L <>< M^4.0
if 0.1 solar < M < 60 solar
Term
What is the equation relating Luminosity to Radius and Temperature?
Definition
L = 4 pi R^2 sigma T^4
Term
How many AU are in a parsec?
Definition
206265 AU / pc
Term
What is the relationship between parsecs and light years?
Definition
1 pc = 3.26 ly
Term
About ____ of all stars are binary or multiple star systems
Definition
Half
Term
What are the 3 major types of binary stars?
Definition
Visual binaries
Spectroscopic binaries
Eclipsing binaries
Term
What is the skinny triangle approximation?
Definition
D = d sin(theta)
Term
What is the equation for the resolution of a telescope?
Definition
alpha = 2.1 x 10^5 (lamdba) / D
lambda in meters, D in meters, alpha in arcseconds
Term
The atmosphere limits all telescopes to a resolution of....
Definition
1.0 arcseconds
Term
Ellipses are described by what two factors?
Definition
The semi-major axis and their eccentricity
e = delta(foci) / major axis
Term
What does an ellipse with eccentricity = 0 resemble?
Definition
A circle
Term
As the eccentricity of an ellipse increases, what happens to the ellipse?
Definition
It starts to look almost like a line (a very thin ellipse)
Term
What were Kepler's 3 laws?
Definition
1. All orbiting bodies have a conic-section orbit, with the massive body (i.e. the Sun) at a focus.
2. Law of equal areas - Equal areas are swept out in equal time intervals.
3. (M + m) P^2 = k a^3 where k = 1 if P is in Earth years, a is in AUs, and (M+m) is in solar masses. For objects orbiting the Sun, (M+m) = 1
Term
If two stars with the mass of the sun had a circular orbit (radius = 5 AU), the orbital period would be about...
Definition
8 years
Term
What 2 resolution improvements allow resolutions of .02'' and .001'', respectively?
Definition
Speckle Techniques (alpha = .02'')
Interferometric techniques (alpha = .001'').
Term
What is the equation for the conservation of angular momentum?
Definition
M1V1R1 = M2V2R2
Term
If orbits of binaries are circular, then r1 and r2 are constant and the equation for conservation of angular momentum becomes...
Definition
M1/M2 = V2/V1
Term
What is the equation for Doppler shift?
Definition
Delta(lambda)/lambda = v / c
Term
If the orbital velocity of Star A is 5 times that of star B, then star A is how many times as massive as star B?
Definition
1/5 as massive
Term
What's up with the orbital planes of eclipsing binaries?
Definition
The orbital planes lie close to our line-of-sight
Term
Are eclipsing binaries resolved?
Definition
No, they are unresolved, which means they appear as a single star
Term
Two stars in a binary system have the same temperature but the diameter of star A is twice that of star B. How many times brighter is Star A than star B?
Definition
Since L <>< R^2 T^4,
star A has a luminosity 4X that of star B and since they are the same distance, 4X the brightness
Term
What spectral type has the coolest stars?
Definition
OBAFGKM (T ---> t)
M are the coolest stars
Term
What is the technique that allows astronomers to decode the messages contained in starlight?
Definition
Spectroscopy
Term
What can stellar spectra tell us?
Definition
Intrinsic luminosity, temperature, how fast it rotates, and its composition
Term
5 magnitudes exactly corresponds to what ratio?
Definition
100:1
Term
Numerically __________(smaller/larger) magnitudes correspond to brighter stars
Definition
smaller
Term
If star A has a magnitude of 10, and star B is 10,000X brighter, then the magnitude of B is...
Definition
20
Term
What is the equation relating the apparent magnitudes of two stars?
Definition
m1-m2 = delta m = 2.5 log (F2/F1)
Term
What is the distance to a star if its m = +20 and its M = -5
Definition
10^6 pc
Term
How many kilometers are in 1 AU?
Definition
1.5 x 10 ^ 8 km = 1 AU
Term
The speed that a star approaches or recedes from the Sun is what?
Definition
The radial velocity
Term
The rate at which a star's apparent position on the sky changes is called...
Definition
Proper motion
Term
What is the proper motion of Barnard's star?
Definition
10.25 arcsec per year
Term
The star's actual speed is called its....and the equation for it is....
Definition
Tangential velocity,
T = 4.74 u*d km/s
where u is the proper motion
Term
If a star has a proper motion of 10 arcsec per year and is at a distance of 2 pc, what is its tangential velocity?
Definition
T = 4.74 ud =approximately=
T = 5 u d = 5 * 10 * 2 = 100 km/s
Term
The Total Space Velocity is...
Definition
V^2 = V(R)^2 + V(T)^2
Term
What stellar characteristics are dependent on the Earth?
Definition
Position (RA, decl. and distance)
Motion (Proper motion and tangential velocity, Radial motion and space velocity)
Brightness
Term
What stellar characteristics are independent of the Earth?
Definition
Size, Variability, Surface Temp and Color, Mass, chemical composition, magnetic fields, luminosity, number of components
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