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Cosmic Perspective Ch 15
Questions written from information in textbook, a la carte edition
133
Astronomy
Undergraduate 1
05/17/2015

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Term
where are stars born?
Definition
great clouds of gas & dust p 487
Term
with what chemical composition do most stars in our Milky Way begin their lives?
Definition
same as Sun; about 70& hydrogen, about 28% Helium, about 2% heavier elements p 487
Term
on what do stars' apparent brightness depend?
Definition
distance, how much light it actually emits
Term
what is apparent brightness?
Definition
brightness of a star as it appears to our eyes p 487
Term
how is apparent brightness defined?
Definition
amount of power (energy/ second) reaching us per unit area p 487
Term
what is luminosity?
Definition
total amount of power that a star emits into space p 488
Term
what is the difference between luminosity and apparent brightness?
Definition
Luminosity is a measure of power; apparent brightness is a measure of power per unit area p 487 fig 15.1 e.g. 100-watt bulb puts out same amount of light, but will dimmer the farther you are away from it p 488
Term
what is the formula for the inverse square of law for light?
Definition
apparent brightness=luminosity/4π × distance^2 (p 488)
Term
what does the formula for the inverse square of law for light mean?
Definition
If we viewed the Sun from twice Earth's distance, it would appeared dimmer by a factor of 2^2=4; from 10 times the distance it would be dimmer by 10^2=100 (p 488)
Term
how does apparent brightness follow the inverse square of law for light?
Definition
Imagine layers of spheres around a star. The same amount of light must pass through each layer. Layer 1 is 1 AU and the light passes through 1 square. Layer 2 is 2 AU and the same amount of light passes thru 4 squares the size of the 1st square; Therefore each square receives only 1/4 of the light as sq 1. 3 AUs = 9 squares; each square receives 1/9 (p 488 Fig 15.2)
Term
Using the inverse square law of light, what do we need to calculate a star's distance if we know its apparent brightness?
Definition
its luminosity p 488
Term
Using the inverse square law of light, what do we need to calculate a star's luminosityif we know its apparent brightness?
Definition
its distance p 488
Term
what are the units of apparent brightness?
Definition
watts per sq meter p 488
Term
in words, what is the formula for apparent brightness?
Definition
Apparent brightness is the star's luminosity divided by the surface area of the imaginary sphere p 488
Term
in words, what is the formula for a star's luminosity?
Definition
star's luminosity is its apparent brightness multiplied by the surface area of its imaginary sphere (reworded from p 488)
Term
what is stellar parallax?
Definition
small annual shifts in a star's apparent position caused by Earth's motion around the Sun p 489
Term
how do astronomer's measure stellar parallax?
Definition
comparing observations of a nearby star made 6 months apart; the nearby star appears to shift against the background of more distant stars because it is observed from two opposite points of Earth's orbit (6 months apart) p 489, also see Fig 15.3
Term
The parallax angle of a star is equal to what?
Definition
half the star's annual back and forth shift, measured in arcseconds p 489
Term
what is a parsec and where does its name originate?
Definition
1 parsec is the distance to an object with a parallax angle of 1 arc second' parsec is a combination of the words parallax and arc second p 489
Term
what is the formula to calculate distance in parsecs?
Definition
d (in parsecs) - 1 / p (in arcseconds) p 489
Term
what is the distance to a star (in parsecs) for a star with a parallax angle of 1/2 arc seconds?
Definition
2 parsecs p 489
Term
Why couldn't ancient Greeks measure parallax?
Definition
Because even the nearest stars have parallax angles smaller than 1 arc second; the naked, human eye can only resolve ~ 1 arc minute p 489
Term
What is the unit for 1,000 parsecs?
Definition
kiloparsecs p 489
Term
What is the unit for 1,000,000 parsecs?
Definition
megaparsecs p 489
Term
1 parsec = how many light years?
Definition
3.26 p 489 (Xiaosheng sometimes says 3.3)
Term
how can we calculate distance in light years using parsecs?
Definition
d (in light years) = 3.26 X (1/ p in arc seconds)
Term
If we know the distance from parallax, what else can we calculate?
Definition
luminosity using inverse square law of light p 489
Term
The dimmest stars have luminosities of...
Definition
10^-4 or 1/10,000 times the Sun p 490
Term
The brightest stars have luminosities of...
Definition
10^6 or 1 million times the Sun p 490
Term
Stars have a wide range of luminosities. Where in this range is our Sun?
Definition
somewhere in the middle p 490
Term
Which are more common? Dim stars or bright ones and how does our Sun compare?
Definition
Dim stars are more common. Even though the Sun has a mid-range luminosity, it is brighter than the vast majority of stars in our galaxy 490
Term
why are apparent magnitudes called as such?
Definition
they compare how bright the different stars appear in the sky; originated with Greeks who only had naked eyes to measure brightness p 490
Term
how are apparent magnitudes related to apparent brightness?
Definition
directly related, but the scale runs backwards; larger apparent magnitude = dimmer apparent brightness, e.g. star of mag 4 is dimmer than star of mag 1 p 490
Term
each difference of 5 magnitudes = how many in brightness?
Definition
factor of 100 p 491
Term
a magnitude 1 star is how much brighter than a magnitude 6 star?
Definition
100 times p 491
Term
a magnitude 3 star is how much brighter than a magnitude 8 star?
Definition
100 times p 491
Term
Because of the relationship between apparent brightness and apparent magnitudes, what can happen to the measure of a star's apparent magnitude?
Definition
it can become fractionated; a few stars have apparent brightness <1. Eg, Sirius is our brightest star, but has apparent magnitude of —1.46 p 491
Term
absolute magnitude is a modern way of describing a star's what?
Definition
stellar luminosity p 491
Term
star's absolute magnitude = apparent magnitude it would have at what distance form Earth?
Definition
10 parsecs or 32.6 light years from Earth p 491
Term
The Sun's absolute magnitude is about 4.8, meaning its apparent magnitude would be 4.8 if it were 10 parsecs away form us. How would the Sun look?
Definition
Bright enough to be visible, but not conspicuous on a dark night p 491
Term
How do we measure a star's temperature?
Definition
From its spectrum p 491
Term
which is cooler? A red star or a yellow star?
Definition
red star p 491
Term
why do stars come in different colors?
Definition
because they emit thermal radiation p 491
Term
why does the Sun look yeller or white?
Definition
because its surface temp (5,800 K) causes it to emit most strongly in the middle of the visible portion of the spectrum p 491-2
Term
how do astronomer's measure surface temperature?
Definition
by color and by spectral lines? p 492
Term
how do astronomer's use color to determine a star's temperature?
Definition
by comparing a star's brightness in 2 different colors of light. Eg, if a star has more blue light than red light, the difference can be calculated using shape of themal read ion spectra p 491-2 see also Figure 5.19
Term
why is using stellar spectra more accurate then using color to measure a star's temp?
Definition
because interstellar gas can affect the apparent colors of stars p 492
Term
stars displaying spectral lines of highly ionized elements mean sweat?
Definition
a fairly hot star because because it takes a high temp to ionize atoms p 492
Term
what are the letters representing the spectral type in order of hottest to coolest?
Definition
OBAFGKM p 493
Term
In a spectral types subcategory, the large the number, the color or hotter the star?
Definition
The larger the number, the cooler, e.g. G@ is hotter than G3 but cooler than G1 p 493
Term
The hottest stars, spectral type O, have temperatures exceeding how many degrees Kelvin?
Definition
40,000 K p 493
Term
The coolest stars, spectral type M, have temperatures as low as how many degrees Kelvin?
Definition
3,000 K p 493
Term
Why do spectral types follow the letters OBAFGKM?
Definition
1st, astronomer's classified stellar spectra according to strength of their H lines, with O having weakest H lines. As they classified more stars, they found out that spectra fell in a natural order, but not alphabetical. O stars have weak H lines because nearly all H is ionized at their surface temp. Without electron jump btw levels (quantum), ionized H can neither emit nor absorb its usu wavelength p 493-4
Term
Because of the required measurements for stellar mass, we can only measure the masses of what kind of stars?
Definition
binary star systems p 494
Term
what are binary star systems?
Definition
systems in which 2 stars continually orbit each other p 494
Term
about how many stars are part of binary star systems?
Definition
about half p 494
Term
what are the 3 classes of binary stars?
Definition
visual binary, spectroscopic binary, and eclipsing binary p 495
Term
what is a visual binary?
Definition
pair of stars we can see distinctly (with a telescope) as the stars orbit each other p 495
Term
If a star's companion is too dim to be seen, how can we know it is a binary star?
Definition
we observe the star slowly shifting in the sky p 495
Term
what is a spectroscopic binary?
Definition
identified through observations of Dopler shifts in its spectral lines p 495 see also section 5.4
Term
If one star is orbiting another, it periodically moves toward us and away form us in its orbit. What will its spectral lines show?
Definition
Alternating blue shifts and redshifts p 495
Term
what is an eclipsing binary?
Definition
pair of stars that orbit in the plane of our line of sight p 495
Term
when neither star is eclipsed, what do we see?
Definition
The combined light of both stars p 495 Fig 15.8
Term
when one star eclipses the other, what happens to their combined light?
Definition
the star system's apparent brightness decreases because some of the light is blocked from our view p 495 Fig 15.8
Term
The most dependable method of "weighing" a star's mass relies on which law, and what 2 things do we need to measure?
Definition
Kepler's 3rd law; measure both the orbital period, and the avg. orbital distance of the orbiting object p 494
Term
how do we measure orbital period in a visual binary?
Definition
we simply observe how long each orbit take sp 495
Term
how do we measure orbital period in an eclipsing binary?
Definition
we measure the time between eclipses p 495
Term
how do we measure orbital period in a spectroscopic binary?
Definition
we measure the time it takes to shift back and forth p 495
Term
why is determining average separation of binary stars usually much more difficult?
Definition
we can calculate the separation only if we know the actual orbital speeds, but Doppler shift only tells us the direction of the velocity (away form us or toward us) p 496
Term
why are eclipsing binary stars easier to determine speed?
Definition
because they are in our line of sight, so their Doppler shifts tell us their true orbital velocities p 496
Term
how can we determine stellar radii from eclipsing binary stars?
Definition
because we know how fast they are moving across our line of sight as one eclipses the other, we can determine their radii by timing how long each eclipse last p 496 see also section 13.2
Term
how can we infer stellar mass from visual binary stars? (lecture)
Definition
measure period and measure orbit radius (lecture April)
Term
how can we infer stellar mass from eclipsing binary stars? (lecture)
Definition
measure period (lecture April)
Term
how can we infer stellar mass from spectroscopic binary stars? (lecture)
Definition
can measure period and velocity==> can infer stellar mass (lecture April)
Term
what is the overall range of stellar masses?
Definition
0.08 Solar Mass to 150 Solar Mass
Term
what does the horizontal axis on an H-R diagram represent?
Definition
stellar surface temperature p 497
Term
what does the vertical axis on an H-R diagram represent?
Definition
stellar luminosity in solar units p 497
Term
stars on the upper left of an H-R diagram are what?
Definition
hot and luminous p 499
Term
stars on the upper right of an H-R diagram are what?
Definition
cool and luminous p 499-500
Term
stars on the lower right of an H-R diagram are what?
Definition
cool and dim p 500
Term
stars on the lower left of an H-R diagram are what?
Definition
hot and dim p 500
Term
How can 2 stars have the same surface temp, but one is more luminous?
Definition
The more luminous one is larger in size p 500
Term
how does an H-R diagram provide direct info about stellar radii?
Definition
because a star's luminosity depends on both surface temp and size p 500
Term
Does stellar radii increase or decrease on the H-R diagram as e go from lower left to higher right?
Definition
increases p 500
Term
what types of stars are on the lower left of the H-R diagram, and what are their characteristics?
Definition
white dwarfs; small in radius and appear white in color because of their temperatures p 500
Term
what determines a luminosity class, e.g. I, II, III, etc., ?
Definition
its size, because of the region where it falls on the H-R diagram p 500
Term
what are the sizes in the 5 stellar luminosity classes?
Definition
I Supergiants II Bright GIants III Giants IV Subgiants V Main-sequence p 500
Term
which type of stars fall outside of the luminosity classes?
Definition
white dwarfs; are classified as "wd" p 500
Term
what does it mean to say our Sun is G2 V?
Definition
G2 spectral type means it is yellow-white; V means it's a hydrogen-fusing, main-sequence star p 500
Term
why do high-luminosity main-sequence stars have hot surfaces and low-luminosity main-sequence stars have cooler temps on the H-R diagram?
Definition
the stars position is closely related to its mass. All main-sequence stars are fusing H into He in cores, mass determines both surface temp and luminosity because it is the key factor in a star's rate of fusion p 500
Term
why do more stars fall on the lower end of the main sequence of an H-R diagram?
Definition
because low-mass stars re more common than high-mass stars p 501
Term
why is mass the most important attribute of a hydrogen-fusing star?
Definition
mass determines the balancing point at which energy released by hydrogen fusion in the core equals the energy lost from the star's surface p 501
Term
why would the most massive main-sequence stars be thousands of times more luminous than our Sun, but only be about 10 times the Sun's radius?
Definition
Their surface temps must be significantly hotter p 501
Term
what can we infer about any hydrogen-fusing, main-sequence star that has the same spectral type as the Sun (G2)?
Definition
it must have the same mass & luminosity as the Sun p 501
Term
Do all stars follow this simple relationship between mass, temperature, and luminosity?
Definition
no, only main-sequence; not giants, supergiants, or white dwarfs p 501
Term
what determines a main-sequence lifetime?
Definition
a star is born with a limited supply of core hydrogen and therefore can remain as a hydrogen-fusing main-sequence star for a limited time p 501
Term
do more massive stars have shorter or longer lives than less massive?
Definition
shorter p 501
Term
why do more massive stars have shorter lives than less massive?
Definition
its lifetime is determined by both its mass and its luminosity p 501
Term
how does mass determine a star's lifetime?
Definition
mass determines how much fuel the star initially contains in its core p 501
Term
how does luminosity determine a star's lifetime?
Definition
luminosity determines how rapidly the star uses up its fuel p 501
Term
why do massive stars start with a larger supply of hydrogen but live shorter lives?
Definition
because they fuse hydrogen into helium so rapidly p 501
Term
how long would the lifetime be of a 10-solar-mass star with a luminosity of 10,000 solar?
Definition
10 times as much H as Sun being burned at 10,00 xs the rate of the Sun is expressed as 10/10,000 => 1/1,000 as long as the Sun's lifetime. Since the Sun is 10 b yrs old, expressed as 10 b / 1,000 = 10 million years (p 501)
Term
what are 2 reasons that are massive stars so rare?
Definition
1) because their lifetimes are so short, and 2) because fewer massive stars are born to begin with p 501
Term
the fact that massive stars even exist tells us what?
Definition
that stars must form continuously in our galaxy p 501
Term
the massive, bright O stars in our galaxy formed only recently and will die before they have chance to do what?
Definition
complete one orbit around the center of the galaxy p 501
Term
how long will 0.3 solar mass star with a 0.01 solar luminosity live?
Definition
0.3/0.01 = 30 times the Sun; at 10 billion years (life of sun) = 300 billion years
Term
relative to the 14-billion-year-old universe, what does this mean?
Definition
even the most ancient of the small dim stars still survive and will live for 100s of billions of more years p 501
Term
how are giants, supergiants, and white dwarfs different than main-sequence stars?
Definition
they have exhausted all the H in their cores, and can no longer generate energy in the same way as our Sun p 502
Term
what is a white dwarf?
Definition
a giant star with mass similar to the sun that ran out of fuel and ejected its outer layers leaving behind a "dead" core p 502
Term
why are white dwarfs still hot?
Definition
because they are essentially exposed stellar cores p 502
Term
what are white dwarfs dim?
Definition
because they lack an energy source and only radiate their leftover heat p 502
Term
how big is a typical white dwarf?
Definition
no large in size than Earth p 502
Term
how massive is a typical white dwarf?
Definition
has a mass similar to our Sun p 502
Term
what is a variable star?
Definition
any star that varies significantly in brightness with time p 502
Term
why does a variable star vary significantly in brightness with time?
Definition
pulsating variable star. certain types of variable stars can't achieve the balance between power welling up form the core and the power being radiated from the surface. Sometimes, the star's upper layers are too opaque to allow much energy to escape. Pressure under the photosphere builds up and the star expands. This puffs up the outer layers until transparent enough to let energy escape. Underling pressure then drops, star contracts until energy-trapping resumes p 502
Term
what is the range between pulses for a pulsating variable star?
Definition
several hours to several years p 503
Term
what is the name of the region on the H-r diagram where most pulsating stars lie, and where is it?
Definition
the instability strip, btw main-sequence, and red giants p 503
Term
what is the category of very luminous pulsating variable stars that lies on the upper portion of the instability strip?
Definition
Cepheid variable stars aka Cepheid stars aka Cepheids p 503
Term
what re 2 signficant characteristics of Cepheids, and how have they helped us?
Definition
they are very bright and the their pulsating periods are closely related to their luminosities. Helped us establish distances to galaxies beyond the Milky Way p 503
Term
what is a star cluster?
Definition
many stars still congregate in the groups that they formed in inside the same interstellar cloud p 504
Term
what are 2 reasons that a star cluster is useful to astronomers?
Definition
1) all the stars lie in a cluster about the same distance from Earth, and 2) all the stars in a cluster formed at about the same time (within a few million yrs of each other) Therefore, astronomers can use clusters as a lab to compare stars, which enable us to use them as cosmic clocks p 504
Term
what are 2 types of star clusters?
Definition
1) open clusters, and 2) globular clusters p 504
Term
in what 3 ways are open clusters and globular clusters different?
Definition
how densely they are packed with stars, their location, their ages
Term
where do open clusters reside relative to the galaxy and what is their typical age?
Definition
in the galactic disk; they are relatively young. p 504
Term
typically how many stars do open clusters contain?
Definition
up to several thousand p 504
Term
typically how wide across are star clusters?
Definition
30 light years p 504
Term
where do globular clusters reside relative to the galaxy and what is their typical age?
Definition
in the halo; among oldest in universe p 504
Term
typically how many stars do globular clusters contain?
Definition
> a million concentrated in a ball; its central region can have 10,000 stars packed in a space that is just a few LY across p 504
Term
typically how wide across are globular star clusters?
Definition
60-150 LY across p 504
Term
how do we evaluate the age of a star cluster?
Definition
identify main-sequence turnoff points p 505
Term
what is a main-sequence turnoff point?
Definition
precise point on H-R diagram at which a cluster's stars diverge from the main-sequence p 505
Term
what is typical age of a globular cluster, as determined by main-sequence turnoff points?
Definition
> 10 billion years; more precise calculations put them at ~13 billion yrs, making them some of oldest known objects in galaxy p 506
Term
what is typical age of an open cluster, as determined by main-sequence turnoff points?
Definition
very few are older than 5 billion years p 505
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