21st Century Astronomy 6E
6th Edition
ISBN: 9780393690675
Author: Laura Kay, Stacy Palen, George Blumenthal
Publisher: W. W. Norton
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Question
Chapter 17, Problem 42QP
(a)
To determine
The distance of the more distant Cepheid variable.
(b)
To determine
Whether the distance to the more distant Cepheid variable could be measured by parallax.
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Students have asked these similar questions
. A star"s position in the sky against distant background objects has shifted by 0.4" in 6 months it returned where it was. what is the stellar parallax p of this star?
Ans. p=0.2"
b. How far is this star from the Sun?
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?
=
A star population is composed of stars with masses in the range between 1M and 150M.
The initial mass function is = 0 (M/M)-2.3, where o (Mo). The luminosity of a star
= (M/M) 3.3. Calculate the percentage of the total luminosity
of the stars in the population which is produced by stars with mass between 120M and
150M.
scales with its mass as L/L
Chapter 17 Solutions
21st Century Astronomy 6E
Ch. 17.1 - Prob. 17.1CYUCh. 17.2 - Prob. 17.2CYUCh. 17.3 - Prob. 17.3CYUCh. 17.4 - Prob. 17.4CYUCh. 17 - Prob. 1QPCh. 17 - Prob. 2QPCh. 17 - Prob. 3QPCh. 17 - Prob. 4QPCh. 17 - Prob. 5QPCh. 17 - Prob. 6QP
Ch. 17 - Prob. 7QPCh. 17 - Prob. 8QPCh. 17 - Prob. 9QPCh. 17 - Prob. 10QPCh. 17 - Prob. 11QPCh. 17 - Prob. 12QPCh. 17 - Prob. 13QPCh. 17 - Prob. 14QPCh. 17 - Prob. 15QPCh. 17 - Prob. 16QPCh. 17 - Prob. 17QPCh. 17 - Prob. 18QPCh. 17 - Prob. 19QPCh. 17 - Prob. 20QPCh. 17 - Prob. 21QPCh. 17 - Prob. 22QPCh. 17 - Prob. 23QPCh. 17 - Prob. 24QPCh. 17 - Prob. 25QPCh. 17 - Prob. 26QPCh. 17 - Prob. 27QPCh. 17 - Prob. 28QPCh. 17 - Prob. 29QPCh. 17 - Prob. 30QPCh. 17 - Prob. 31QPCh. 17 - Prob. 32QPCh. 17 - Prob. 33QPCh. 17 - Prob. 34QPCh. 17 - Prob. 35QPCh. 17 - Prob. 36QPCh. 17 - Prob. 37QPCh. 17 - Prob. 38QPCh. 17 - Prob. 39QPCh. 17 - Prob. 40QPCh. 17 - Prob. 41QPCh. 17 - Prob. 42QPCh. 17 - Prob. 43QPCh. 17 - Prob. 44QPCh. 17 - Prob. 45QP
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- A Cepheid variable has a period of 17 days and an average apparent magnitude of 23. Find its distance from us. The absolute magnitude of the Sun is 4.83. A. 3 Mpc B. 0.3 Mpc C. 30 Mpc D. 300 Mpc Is the answer D? Thanks!arrow_forwardA. Based on the graph, what is the approximate mean luminosity of a Cepheid variable star with a period of 5 days? 10 days?arrow_forward15: A star has a parallax angle of 0.0270 arcseconds and an apparent magnitude of 4.641. What is the distance to this star? Answer: 37 16: What is the absolute magnitude of this star? Answer:1.8 17: Is this star more or less luminous than the Sun? Answer "M" for More luminous or "L" for Less luminous. (HINT: the absolute magnitude of the Sun is 4.8) Answer: M 18: What is the luminosity of this star? (HINT: The luminosity of the Sun is 3.85×1026 W.) Please answer question #18, #15-17 are correct, the photos provide the work for them.arrow_forward
- velocity curve for a double line spectroscopic binary is shown in the sketch. The system is viewed edge-on, i.e., with an inclination angle of i = 90°, so that the maximum possible Doppler shifts for this system are observed. 400 300 So = U, Ani 200 t0 = v Ain i 100 -100 -200 -300 400 O 1 2 3 1 s 1 8: 10 Time (days) Find the orbital period of this binary in days. Doppler Velocity (krn/sec)arrow_forward2. If Vega is apparent magnitude zero, and Deneb first magnitude, then Vega must be 2.5× hotter than Deneb. Vega is 2.5× brighter than Deneb. Vega is about 100× brighter than Deneb. Deneb is one magnitude brighter than Vega. Deneb must be a main sequence star, and Vega a giant.arrow_forwardA (relatively) nearby K-type star known as Nu? Canis Majoris has an estimated orbital radius of 2.3344 x 10° km, and an estimated orbital period of 736.9 days. a. What is the mass of Nu? Canis Majoris? b. What is the mass of Nu² Canis Majoris in terms of solar masses?arrow_forward
- 1. 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_forward= 2000 K and a radius of R, A young recently formed planet has a surface temperature T Jupiter radii (where Jupiter's radius is 7 x 107 m). Calculate the luminosity of the planet and 2 determine the ratio of the planet's luminosity to that of the Sun.arrow_forwardQUESTION 10 Which of the following Cepheid variable stars would appear to be the brightest from Earth? A Cepheid variable star that is 10,000 times as luminous as the sun. A Cepheid variable star with a period of 10 days. A Cepheid variable star with a period of 3 days. There is not enough information given.arrow_forward
- The star Firefly is located 3.0 pc away. If it had an absolute magnitude of 13.0, which value below is reasonable for its apparent magnitude? A. 10.4 В. 13.3 ОС. -26.7 OD. 15.0arrow_forwardWhich star in the table of stellar data has the largest parallax? Star distance (pc) parallax angle (")| m M A 100 2 В 0.1 4 C 25 0.040 6 D 0.025 А. А О В. В O C.C O D.Darrow_forwardYou measure a star to have a parallax angle of 0.12 arc-seconds What is the distance to this star in parsecs? 8.33 Hint: d = 1/p What is the parallax angle of a different star that is twice as far away as the star from the previous problems? [answer in arc-seconds without including the unit]arrow_forward
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