EP COSMIC PERSPECTIVE-MOD.MASTERING
9th Edition
ISBN: 9780137453481
Author: Bennett
Publisher: SAVVAS L
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Chapter 8, Problem 51EAP
To determine
To Find: The collapse time using Kepler’s third law.
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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)?
White Dwarf Size II. The white dwarf, Sirius B, contains 0.98 solar mass, and its density is about 2 x 106 g/cm?. Find the radius of the white dwarf in km to three significant digits. (Hint: Density = mass/volume, and the volume of a
4
sphere is Tr.)
3
km
Compare your answer with the radii of the planets listed in the Table A-10. Which planet is this white dwarf is closely equal to in size?
I Table A-10 I Properties of the Planets
ORBITAL PROPERTIES
Semimajor Axis (a)
Orbital Period (P)
Average Orbital
Velocity (km/s)
Orbital
Inclination
Planet
(AU)
(106 km)
(v)
(days)
Eccentricity
to Ecliptic
Mercury
0.387
57.9
0.241
88.0
47.9
0.206
7.0°
Venus
0.723
108
0.615
224.7
35.0
0.007
3.4°
Earth
1.00
150
1.00
365.3
29.8
0.017
Mars
1.52
228
1.88
687.0
24.1
0.093
1.8°
Jupiter
5.20
779
11.9
4332
13.1
0.049
1.30
Saturn
9.58
1433
29.5
10,759
9.7
0.056
2.5°
30,799
60,190
Uranus
19.23
2877
84.3
6.8
0.044
0.8°
Neptune
* By definition.
30.10
4503
164.8
5.4
0.011
1.8°
PHYSICAL PROPERTIES (Earth = e)…
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…
Chapter 8 Solutions
EP COSMIC PERSPECTIVE-MOD.MASTERING
Ch. 8 - Prob. 1VSCCh. 8 - Prob. 2VSCCh. 8 - Prob. 3VSCCh. 8 -
Briefly describe the four major features of our...Ch. 8 - What is the nebular theory, and why is it widely...Ch. 8 - What do we mean by the solar nebula? What was it...Ch. 8 -
4. Describe the three key processes that led the...Ch. 8 - List the approximate condensation temperature and...Ch. 8 - What was the frost line? Which ingredients...Ch. 8 - Briefly describe the process by which terrestrial...
Ch. 8 - How was the formation of jovian planets similar to...Ch. 8 - What is the solar wind, and what roles did it play...Ch. 8 - How did planet formation lead to the existence of...Ch. 8 - What was the heavy bombardment, and when did it...Ch. 8 - What is the leading hypothesis for the Moon’s...Ch. 8 - Prob. 13EAPCh. 8 - How old is the solar system, and how do we know?Ch. 8 - Surprising Discoveries? Suppose we found a solar...Ch. 8 - Prob. 16EAPCh. 8 - Surprising Discoveries? Suppose we found a solar...Ch. 8 - Prob. 18EAPCh. 8 - Prob. 19EAPCh. 8 - Prob. 20EAPCh. 8 - Prob. 21EAPCh. 8 - Prob. 22EAPCh. 8 - Prob. 23EAPCh. 8 - Prob. 24EAPCh. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Prob. 28EAPCh. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Prob. 31EAPCh. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Choose the best answer to each of the following....Ch. 8 - Explaining the Past. Is it really possible for...Ch. 8 - Prob. 37EAPCh. 8 - Prob. 38EAPCh. 8 - An Early Solar Wind. Suppose the solar wind had...Ch. 8 - Angular Momentum. Suppose our solar nebula had...Ch. 8 - Two Kinds of Planets. The jovian planets differ...Ch. 8 - Prob. 43EAPCh. 8 - Prob. 44EAPCh. 8 - Prob. 45EAPCh. 8 - Prob. 46EAPCh. 8 - Lucky to Be Here? Considering the overall process...Ch. 8 - Radiometric Dating. You are dating rocks by their...Ch. 8 - Lunar Rocks. You are dating Moon rocks based on...Ch. 8 - Carbon-14 Dating. The half-life of carbon-14 is...Ch. 8 - Prob. 51EAPCh. 8 - Icy Earth. How massive would Earth have to have...Ch. 8 - What Are the Odds? The fact that all the planets...Ch. 8 - Spinning Up the Solar Nebula. The orbital speed of...
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