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 46EAP
To determine
To Discuss:The difference in measurement of change in positions of nearby stars when measure from Earth compared to that from Jupiter.
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1. Planet A has an orbital period of 12 years and radius that is 0.033 times the radius of the star. Calculate the fractional dip of the star brightness in the case that planet A is transiting. Give the answer as a number. Quote the formula you use and explain any assumptions you have to make.
2. Planet B has an orbital period of 1 year and is located closer to its star than planet A. You succeed in detecting planet B with the radial velocity technique as well! From this measurement you calculate a minimum mass of planet B to be 75% that of the Earth. (a) Since you detect the planet with both transit method and radial velocity method, what do you know about the inclination of the planetary system? (b) Given this inclination, estimate the true mass of planet B (in units of Earth mass). You do not need to do a detailed calculation, just explain the argument.
3. You also measure the radius of planet B to be the same as Earth, one Earth radius. (a) How does the density of planet B compare…
On Earth, the parallax angle measured for the star Procyon is 0.29 arcseconds. If you were to measure Procyon's parallax angle from Venus, what would the parallax angle be? (Note: Earth's orbital radius is larger than Venus's orbital
radius.)
A. more than 0.29 arcseconds
O B. 0.29 arcseconds
O C. less than 0.29 arcseconds
D. zero arcseconds (no parallax)
Which of the following statements about stellar parallax is true?
A. We observe all stars to exhibit at least a slight amount of parallax.
B. Stellar parallax was first observed by ancient Greek astronomers.
O C. The amount of parallax we see depends on how fast a star is moving relative to us.
D. It takes at least 10 years of observation to measure a star's parallax.
OE. The closer a star is to us, the more parallax it exhibits.
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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- On Earth, the parallax angle measured for the star Procyon is 0.29 arcseconds. If you were to measure Procyon's parallax angle from Venus, what would the parallax angle be? (Note: Earth's orbital radius is larger than Venus's orbital radius.) A. more than 0.29 arcseconds B. 0.29 arcseconds C. less than 0.29 arcseconds D.zero arcseconds (no parallax)arrow_forwardPart 3 1. The diameter of the Sun is 1,391,400 km. The diameter of the Moon is 3,474.8 km. Find the ratio, r= Dsa/Dsvan between the sizes. 2. From the point of view of an obs erver on Eanth (consider the Earth as a point-like object), during the eclipse, the Moon covers the Sun exactly. Sketch a picture to illustrate this fact. Use a nuler to get a straight line. Your drawing does not need to be in scale. 3. The Sun is 1 Astronomical Unit (AU) away from the Earth. Find the distance between the Earth and the Moon in AU's using the ratio of similar triangles. Show your work. DEM= AU. Convert this to kilometers. Use 1 AU = 149,600,000 km. DEM = km.arrow_forwardStellar parallax is used as a tool to determine distances to stars. Describe how stellar parallax works. Also discuss the limiting factors in its use and the maximum distance that can be accurately measured using this technique. Do you believe this concept is unique to astronomy or used in other technical disciplines? Provide examples.arrow_forward
- 1. A distant galaxy has an apparent magnitude of 10 and is 4,000 kpc away. What is its absolute magnitude? (Round your answer to at least one decimal place.) The difference in absolute magnitude between two objects viewed from the same distance is related to their fluxes by the flux-magnitude relation. FA/FB= 2.51(MB − MA) 2. How does the absolute magnitude of this galaxy compare to the Milky Way (M = −21)?arrow_forwardStar 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?arrow_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_forward
- Use this interactive simulation of stellar parallax. Change the distance to the star to values given in column 2. Write down the parallax angle in arcsec for each distance. Convert the parallax angle to radians. Calculate the distance. If your calculation is correct, your number in the last column should be similar to the number in column 2 (NOT THE SAME!). 1 AU is 4.85 x 10-6 pc (Don't write units with your answer!) Measured (true) Parallax angle n (in radians) (use 2 significant D (round your answer to 2 figures) Calculated distance Object Parallax angle (in arcsec) Distance from Position "Sun" in pc decimal places) Nearest 0.5 Intermediate 1 Farthest 1.5arrow_forward"51 Pegasi" is the name of the first normal star (besides the Sun) around which a planet was discovered. It is in the constellation Pegasus the horse. Its parallax is measured to be 0.064 arcsec. a. What is its distance from us? b. The apparent brightness is 1.79 × 10-10 J/(s·m2 ). What is the luminosity? How does that compare with that of the Sun? Look up the temperature: how doarrow_forward. 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?arrow_forward
- Question A1 Use a diagram to explain what is meant by the parallax angle, p, for a star observed twice from Earth, with a 6-month interval between each observation. Hence define the parsec, and calculate its value in astronomical units and metres. The star Betelgeuse is observed to have a parallax angle p = 4.5 x 10-³ arcseconds. State the distance of Betelgeuse in units of parsecs and light years.arrow_forwardHow many times brighter or fainter would a star appear if it were moved to:a. twice its present distance?b. ten times its present distance?c. half its present distance?arrow_forward16. Today, astronomers can detect and measure stellar parallax for thousands of the nearest stars, providing us with direct evidence that Earth really does orbit the Sun. Moreover, these measurements allow us to calculate distances to these relatively nearby stars. If we hope to use parallax to measure distances to even more-distant stars, which of the following telescopes would be most useful?arrow_forward
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