The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 15, Problem 49EAP
To determine
The star with Doppler shifts in its spectra.
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Star A and Star B are a bound binary at a distance of 20 pc from the Earth. Their
separation is 30 AU. Star A has a mass twice that of Star B. The orbital period of the
binary is 100 years. Assume the stars orbit in circular orbits.
a. What is the parallax of Star A, in units of arcsec? Assume parallax is measured from
the Earth. For part a, ignore the presence of the binary companion.
b.
What is the angular separation we would observe between Star A and Star B, in
units of arcsec? If we compare multiple images of this star system taken across
different months and years, which source of motion will be the dominant effect?
What is the total mass of the binary system (combined mass of Star A and Star B)?
Provide your answer in both kg and solar masses.
c.
d. What is the distance from Star A to the center of mass of the binary system?
Choose the correct statements concerning spectral classes of stars. (Give ALL correct answers, i.e., B, AC, BCD...)
A) Neutral hydrogen lines dominate the spectrum for stars with temperatures around 10,000 K because a lot of the hydrogen is in the n=2 level.
B) Hydrogen lines are weak in type O-stars because most of it is completely ionized.
C) Oh Be A Fine Guy/Girl Kiss Me, is a mnemonic for remembering spectral classes.
D) The spectral sequence has recently been expanded to include L, T, and Y classes.
E) K-stars are dominated by lines from ionized helium because they are so hot.
F) The spectral types of stars arise primarily as a result of differences in temperature.
Stellar Classification and H-R Diagram Placement (40 points
available).
a. Where is your star located on the H-R diagram (luminosity class/region of the
diagram, spectral class, luminosity/brightness)? How does this compare to that of
The sun ?
Discuss the inferences of the specific placement and stellar classification of your
star with respect to mass, size/radius, color/temperature, composition?
c. Discuss how this placement on the diagram relates to the star’s observed stage of
evolution, previous evolution, and expected future evolutionary path. How does
this compare to that of the Sun?
d. What is the estimated total lifespan of your star and what is the estimated age of
your star right now? How does this compare to that of the Sun?
All of them is about Lutyen star .
Chapter 15 Solutions
The Cosmic Perspective (9th Edition)
Ch. 15 - Prob. 1VSCCh. 15 - Prob. 2VSCCh. 15 - Prob. 3VSCCh. 15 - Prob. 4VSCCh. 15 - Prob. 5VSCCh. 15 - Prob. 6VSCCh. 15 - Prob. 1EAPCh. 15 - Prob. 2EAPCh. 15 - Prob. 3EAPCh. 15 - Prob. 4EAP
Ch. 15 - Prob. 5EAPCh. 15 - Prob. 6EAPCh. 15 - Prob. 7EAPCh. 15 - Prob. 8EAPCh. 15 - Prob. 9EAPCh. 15 - Prob. 10EAPCh. 15 - Prob. 11EAPCh. 15 - Prob. 12EAPCh. 15 - Prob. 13EAPCh. 15 - Prob. 14EAPCh. 15 - Prob. 15EAPCh. 15 - Prob. 16EAPCh. 15 - Prob. 17EAPCh. 15 - Prob. 18EAPCh. 15 - Prob. 19EAPCh. 15 - Prob. 20EAPCh. 15 - Prob. 21EAPCh. 15 - Prob. 22EAPCh. 15 - Prob. 23EAPCh. 15 - Prob. 24EAPCh. 15 - Prob. 25EAPCh. 15 - Prob. 26EAPCh. 15 - Prob. 27EAPCh. 15 - Prob. 28EAPCh. 15 - Prob. 29EAPCh. 15 - Prob. 30EAPCh. 15 - Prob. 31EAPCh. 15 - Prob. 32EAPCh. 15 - Prob. 33EAPCh. 15 - Prob. 34EAPCh. 15 - Prob. 35EAPCh. 15 - Prob. 36EAPCh. 15 - Prob. 37EAPCh. 15 - Prob. 40EAPCh. 15 - Prob. 42EAPCh. 15 - Prob. 44EAPCh. 15 - Prob. 45EAPCh. 15 - Prob. 46EAPCh. 15 - Prob. 47EAPCh. 15 - Prob. 48EAPCh. 15 - Prob. 49EAPCh. 15 - Prob. 50EAPCh. 15 - Prob. 52EAPCh. 15 - Prob. 53EAPCh. 15 - Prob. 54EAPCh. 15 - Prob. 55EAPCh. 15 - Prob. 56EAPCh. 15 - Prob. 57EAPCh. 15 - Prob. 58EAPCh. 15 - Prob. 59EAP
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- Choose the statements that correctly describe the characteristics of the stars located in the labeled quadrants of the H-R diagram. Luminosityarrow_forward1. Suppose you observe a tight eclipsing binary with orbital period of 3 days, and radial velocity semi-amplitude for both components of 80 kilometers/second. a. Without doing any calculation, you know that the mass ratio of the binary is 1:1. Explain why? b. What are the masses and orbital radii of the two stars? c. Suppose the binary is perfectly aligned so each eclipse the center of one star goes across the other. How often do you see an eclipse? d. Suppose one eclipse lasts for 3.5 hours. What is the radius of the stars?arrow_forwardAssume that an O main-sequence star (40,000 K) and a G main-sequence star (5,500 K) have the same radius. How many times brighter is the O star? LO LG = Star B is located 2.6 times farther from earth than Star A, but both have the same apparent visual magnitude of 1 mag. Which star is intrinsically brighter?How many times brighter is the star? If a star has an apparent magnitude equal to its absolute magnitude, how far away is it in parsecs? pcarrow_forwardQ10: If you know that the difference of the apparent magnitude between two stars is equal to 5 magnitudes. What is their brightness? Use this equation Am BB -2.5 log10 () = mb - ma = BA Q11. If the apparent magnitude of the first star in a binary star system is equal 1m and the apparent magnitude of the second star is equal 2m. Calculate the apparent magnitude of the system. Q12. Calculate the distance of a star if you know that its absolute magnitude is equal to (2m) and its apparent magnitude (-2m).arrow_forwardProblem 5. Imagine that you observe a star field twice, with a six-month gap between your observations, and that you see the two sets of stars shown below. Which do you think is closest to the observer? Figure 1: Schematic of image of stars A,B, and P taken six months apart. Problem 6. Suppose the angular separation between stars A and B is 0.5 arcseconds. How far would you estimate star P to lie from the observer?arrow_forwardTutorial Two stars have the same apparent magnitude, my = 14, but Star A has a parallax of 0.060 arc seconds and Star B has a parallax of 0.040 arc seconds. Which star is farther from Earth? What are their distances (in pc)? What are their absolute magnitudes? Which star is more massive? Part 1 of 4 Which star is farther from Earth? Using the parallax equation we see that the distance is inversely related to the parallax by: 1 Parc seconds d pc Which star has the smaller parallax? O Star A O Star Barrow_forwardChoose the correct statements concerning spectral classes of stars. (Give ALL correct answers, i.e., B, AC, BCD...) A) K-stars are dominated by lines from ionized helium because they are so hot. B) Oh Be A Fine Guy/Girl Kiss Me, is a mnemonic for remembering spectral classes. C) The spectral sequence has recently been expanded to include L, T, and Y classes. D) Hydrogen lines are weak in type O-stars because most of it is completely ionized. E) Neutral hydrogen lines dominate the spectrum for stars with temperatures around 10,000 K because a lot of the hydrogen is in the n=2 level. F) The spectral types of stars arise primarily as a result of differences in chemical composition.arrow_forward. The spectrum of Star A peaks at 700 nm. The spectrum of Star B peaks at 470 nm. We know nothing about what stage of stellar evolution either of these stars are in. Which of the following are true? A. Star A has a higher luminosity than Star B. B. Star B has a higher luminosity than Star A. C. Star A is cooler than Star B. D. Not enough information to comment on their luminosities. E. B and C F. C and Darrow_forwardLet’s say you’re looking for extrasolar planets. You observe a star that has a spectral shift in the line that is supposed to be at at 656.28011 nm – this star shows this line at 656.28005 nm. What is the radial velocity of star (in m/s) and in what direction in relation to you? a) 27.4 m/s, towards b) 27.4 km/s, away c) -27.4 m/s, toward d) -27.4 km/s, awayarrow_forward12. A star with spectral type MO has a surface temperature of 3750 K and a radius of 0.63 Rsun: How many times more luminous is this star than the Sun? (if it is less luminous enter a number less than one) Answer: Submit All Answers Last Answer: 0.0923 Incorrect, tries 1/5. Hint: Use the Luminosity equation, which says that L is proportional to R^2 T^4. If you keep these as ratios compared to the sun, your L will also come out as a ratio compared to the Sun. This star has a mass of 0.4 Msun- Using the simple approximation that we made in class, what is the main sequence lifetime of this star? You may assume that the lifetime of the sun is 1010 yr. Answer: Submit All Answers Compare this to the lifetime of a MO star listed in Table 22.1 (computed using a more sophisticated approach). Is the value you calculated in the previous problem longer or shorter than what is reported in the table? (L for longer, S for shorter) (You only get one try at this problem.) Answer: Submit All Answersarrow_forwardExplain the characteristics of Luminosity and the wavelength spectrum of the stars in the following table based on the Hertzsprung-Russell Diagram! NO LUMINOSITY WAVELENGTH STAR CLASS White Giant 1. 2. Red Giant 3. White Dwarf 4. Red Dwarf 5. Main Seriesarrow_forwardThe spectral type of a star is directly related to its color. Recall that a star emits light as a blackbody, which has a particular shape to its spectrum, as shown in this figure. Based on this, what basic property of a star determines its color (and thus its spectral type)? Choose one: A. age B. composition C. radius D. temperaturearrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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