Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 8, Problem 52Q
To determine
The distance to
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Use this light curve of a star with a transiting exoplanet to answer the following. If the exoplanet is orbiting
a star identical to our own Sun, what is its average orbital distance, in AU? What is the period in years of
the transiting exoplanet?
Use this light curve of a star with a transiting exoplanet to answer the following
questions.
Brightness
0
V V V
B
5
10
15
20
Time (months)
25
30
35
Consider the attached light curve for a transiting planet observed by the Kepler mission. If the host star is identical to the sun, what is the radius of
this planet? Give your answer in terms of the radius of Jupiter.
Brightness of Star
Residual Flux
0.99
0.98
0.97
0.006
0.002
0.000
-8-881
-0.06
-0.04
-0.02
0.00
Time (days) →
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1. These images were taken six months apart, first when Earth was as far to one side of Alpha Centauri as it can get and again when Earth was as far to the other side of Alpha Centauri as it can get. Consequently, the baseline between the two observing positions is how many AU across? Answer: 1.7 arcsec
2. First, convert this to kilometers using your measurement of how many kilometers are in an AU.
3. Now convert the baseline to kilometers using the true value for the number of kilometers in an AU.
4. Calculate the distance to Alpha Centauri using parallax and the true baseline in kilometers.
5. Google and record the true value.
6. Calculate your percent error
7. Discuss significant sources of error
Chapter 8 Solutions
Universe: Stars And Galaxies
Ch. 8 - Prob. 1QCh. 8 - Prob. 2QCh. 8 - Prob. 3QCh. 8 - Prob. 4QCh. 8 - Prob. 5QCh. 8 - Prob. 6QCh. 8 - Prob. 7QCh. 8 - Prob. 8QCh. 8 - Prob. 9QCh. 8 - Prob. 10Q
Ch. 8 - Prob. 11QCh. 8 - Prob. 12QCh. 8 - Prob. 13QCh. 8 - Prob. 14QCh. 8 - Prob. 15QCh. 8 - Prob. 16QCh. 8 - Prob. 17QCh. 8 - Prob. 18QCh. 8 - Prob. 19QCh. 8 - Prob. 20QCh. 8 - Prob. 21QCh. 8 - Prob. 22QCh. 8 - Prob. 23QCh. 8 - Prob. 24QCh. 8 - Prob. 25QCh. 8 - Prob. 26QCh. 8 - Prob. 27QCh. 8 - Prob. 28QCh. 8 - Prob. 29QCh. 8 - Prob. 30QCh. 8 - Prob. 31QCh. 8 - Prob. 32QCh. 8 - Prob. 33QCh. 8 - Prob. 34QCh. 8 - Prob. 35QCh. 8 - Prob. 36QCh. 8 - Prob. 37QCh. 8 - Prob. 38QCh. 8 - Prob. 39QCh. 8 - Prob. 40QCh. 8 - Prob. 41QCh. 8 - Prob. 42QCh. 8 - Prob. 43QCh. 8 - Prob. 44QCh. 8 - Prob. 45QCh. 8 - Prob. 46QCh. 8 - Prob. 47QCh. 8 - Prob. 48QCh. 8 - Prob. 49QCh. 8 - Prob. 50QCh. 8 - Prob. 51QCh. 8 - Prob. 52Q
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- 1. These images were taken six months apart, first when Earth was as far to one side of Alpha Centauri as it can get and again when Earth was as far to the other side of Alpha Centauri as it can get. Consequently, the baseline between the two observing positions is how many AU across? Answer: 1.7 arcsec USE 1.7 arcsec NOT 2.946 2. First, convert this to kilometers using your measurement of how many kilometers are in an AU. 3. Now convert the baseline to kilometers using the true value for the number of kilometers in an AU. 4. Calculate the distance to Alpha Centauri using parallax and the true baseline in kilometers. 5. Google and record the true value. 6. Calculate your percent error 7. Discuss significant sources of errorarrow_forwardCould you please answer the questions from 1-4arrow_forwardIf you stood on Earth during its formation, during which it captured about 1.4 ✕ 1011 particles per second, and watched a region covering 310 m2, how many impacts would you expect to see in an hour? (Notes: The surface area of a sphere is 4πr2. Hint: Assume that Earth had its current radius of 6,378 km.) [......] impactsarrow_forward
- H5. A star with mass 1.05 M has a luminosity of 4.49 × 1026 W and effective temperature of 5700 K. It dims to 4.42 × 1026 W every 1.39 Earth days due to a transiting exoplanet. The duration of the transit reveals that the exoplanet orbits at a distance of 0.0617 AU. Based on this information, calculate the radius of the planet (expressed in Jupiter radii) and the minimum inclination of its orbit to our line of sight. Follow up observations of the star in part reveal that a spectral feature with a rest wavelength of 656 nm is redshifted by 1.41×10−3 nm with the same period as the observed transit. Assuming a circular orbit what can be inferred about the planet’s mass (expressed in Jupiter masses)?arrow_forwardNext you will (1) convert your measurement of the semi-major axis from arcseconds to AU, (2) convert your measurement of the period from days to years, and (3) calculate the mass of the planet using Newton's form of Kepler's Third Law. Use Stellarium to find the distance to the planet when Skynet took any of your images, in AU. Answer: 4.322 AU Use this equation to determine a conversion factor from 1 arcsecond to AU at the planet's distance. You will need to convert ? = 1 arcsecond to degrees first. Answer: 2.096e-5 AU (2 x 3.14 x 4.322 x (.000278/360) = 2.096e-5) Next, use this number to convert your measurement of the moon's orbital semi-major axis from arcseconds to AU. A) Calculate a in AU. B) Convert your measurement of the moon's orbital period from days to years. C) By Newton's form of Kepler's third law, calculate the mass of the planet. D) Finally, convert the planet's mass to Earth masses: 1 solar mass = 333,000 Earth masses.arrow_forwardVenus can be as bright as apparent magnitude −4.7 when at a distance of about 1 AU. How many times fainter would Venus look from a distance of 7 pc? Assume Venus has the same illumination phase from your new vantage point. (Hints: Recall the inverse square law; also, review the definition of apparent visual magnitudes. Note: 1 pc = 2.1 ✕ 105 AU). [fill in the blank] times fainter What would its apparent magnitude be?arrow_forward
- One way to recognize a distant planet is by studying the planets motion along its orbit. If Uranus circles the Sun in 84.0 years, how many arc seconds will it move in 1 Earth day? Assume a circular orbit for Uranus, and pretend that Earth is not moving.arrow_forwardUsing the center-of-mass equations or the Center of Mass Calculator (under Binary-Star Basics, above), you will investigate a specific binary-star system. Assume that Star 1 has m1 = 3.2 solar masses, Star 2 has m2 = 1.6 solar masses, and the total separation of the two (R) is 80 AU. (One AU is Earth's average distance from the Sun.) (a) What is the distance, d1, (in AU) from Star 1 to the center of mass?arrow_forwardQ1arrow_forward
- Using the center-of-mass equations or the Center of Mass Calculator (under Binary-Star Basics, above), you will investigate a specific binary-star system. Assume that Star 1 has m₁ = 3.4 solar masses, Star 2 has m₂ = 1.4 solar masses, and the total separation of the two (R) is 52 AU. (One AU is Earth's average distance from the Sun.) (a)What is the distance, d₁, (in AU) from Star 1 to the center of mass? AU (b)What is the distance, d2, (in AU) from Star 2 to the center of mass? AUarrow_forwardusing the center-of-mass equations or the Carter of Mass Calculator (under Binary-Star Basics, abova), you will investigate a specific binary star system. Assume that Star 1 has m, 3.2 solar masses, Star 2 has m,-0.9 solar masses, and the total separation of the two (R) is 34 All (One AU is Earth's average distance from the Sun) (2) What is the distance, d. (In Au) from Star 1 to the center of mass? AU (b) What is the distance, dy On Au) from Star 2 to the center of mass AU ( what is the ratio of d, tod?arrow_forwardI need help with this question! There is only one part to it!arrow_forward
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