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 11, Problem 54EAP
Prometheus and Pandora. These two moons orbit Saturn at 139,350 and 141,700 kilometers, respectively.
- Using Newton’s version of Kepler’s third law, find their two orbital periods. Find the percent difference in their distances from Saturn and in their orbital periods.
- Consider the two in a race around Saturn: In one Prometheus orbit, how far behind is Pandora (in units of time)? In how many Prometheus orbits will Pandora have fallen behind by one of its own orbital periods? Convert this number of periods back into units of time. This is how often the satellites pass by each other.
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Let's use Kepler's laws for the inner planets. Use the following distances from the sun to calculate the orbital period for each of these planets. Express your answer in terms of Earth years to two significant figures. Answer for the highlighted planet in each question.
Note: Use Kepler's law directly. Don't just Google the answers, as they will be a little bit different.
When you have calculated them, only submit the value for Earth.
Planet
Distance from the sun
Period of orbit around the sun
Earth
150 million km
___ Earth years
Mercury
58 million km
___ Earth years
Venus
108 million km
___ Earth years
Mars
228 million km
___ Earth years
From the data measured read off the period, P and the orbital radius, a from thegraph for the moon Ganymede . These values will have units of hours for the period P, and Jupiter Diameters (J.D.) for a. Enter your results here:P (period) = _________ hours a (orbital radius) = ________ J.D.
After,In order to use Kepler's Third Law, you need to convert the period into years, using: 1 day = 24 hours and 1 year = 365.25 days. The orbital radius must be converted to A.U., using 1050 J.D. = 1 A.U. Enter your converted values here: P (period) = _________ years a (orbital radius) = ________ A.U.
An object takes 68 years to orbit the Sun. What is its average distance (in AU) from the Sun?
Saturn has an orbital period of 29.5 years and Neptune has an orbital period of 165 years. How many orbits does Saturn make for each Neptune orbit?
If a planet has an average distance from the Sun of 8.5 AU, what is its orbital period?
Chapter 11 Solutions
The Cosmic Perspective (9th Edition)
Ch. 11 - Prob. 1VSCCh. 11 - Prob. 2VSCCh. 11 - Prob. 3VSCCh. 11 - Prob. 4VSCCh. 11 - Prob. 1EAPCh. 11 - Prob. 2EAPCh. 11 - Prob. 3EAPCh. 11 - Prob. 4EAPCh. 11 - Prob. 5EAPCh. 11 - How do clouds contribute to Jupiter's colors? Why...
Ch. 11 - Prob. 7EAPCh. 11 - Prob. 8EAPCh. 11 - Prob. 9EAPCh. 11 - Prob. 10EAPCh. 11 - Prob. 11EAPCh. 11 - Summarize the evidence for and some of the...Ch. 11 - Prob. 13EAPCh. 11 - Prob. 14EAPCh. 11 - Prob. 15EAPCh. 11 - Prob. 16EAPCh. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Prob. 24EAPCh. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Suppose someone claimed la make the discoivries...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Choose the best answer to each of the following-...Ch. 11 - Europan Ocean. Scientists strongly suspect that...Ch. 11 - Prob. 39EAPCh. 11 - The Importance of Rotation. Suppose the material...Ch. 11 - The Great Red Spot. Based on the infrared and...Ch. 11 - Prob. 46EAPCh. 11 - Minor Ingredients Matter. Suppose the jovian...Ch. 11 - Galilean Moon Formation. Look up the densities of...Ch. 11 - Disappearing Moon. Io loses about a ton (1000...Ch. 11 - Ring Particle Collisions. Each ring particle in...Ch. 11 - Prometheus and Pandora. These two moons orbit...Ch. 11 - Orbital Resonances. Using the data in Appendix E,...Ch. 11 - Prob. 56EAPCh. 11 - Titan’s Evolving Atmosphere. Titan’s exosphere...Ch. 11 - Saturn’s Thin Rings. Saturn’s ring system is more...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- One planet is three times farther from the Sun than another. Will the farther planet take more, less, or the same amount of time to orbit the Sun? Will the closer planet orbit slower, faster, or the same speed? How much longer will the farther planet take to orbit than the closer planet? If the closer planet is located at 10 AU, how far is the farther planet, and what are the two planet's names?arrow_forwardDraw a picture that explains why Venus goes through phases the way the Moon does, according to the heliocentric cosmology. Does Jupiter also go through phases as seen from Earth? Why?arrow_forwardNeptune is an average distance of 4.5×10^9 km from the Sun. - How many astronomical units (AU) is Neptune from the Sun? One AU is 1.50×10^8 km. - Estimate the length of the Neptunian year using your answer from part (a).arrow_forward
- Venus has an average distance to the sun of 0.723 AU. How do you calculate the orbital period of venus, and then calculate itarrow_forwardI would like you to compare the size of some of the largest moons of the solar system to their host planets. Using diameters of 12,700 km, and 140,000 km, 116,000 km for Earth, Jupiter, and Saturn respectively, please provide the ratios of the following moons to their host planets (you can use Table 12.1 from the book to get the diameters of the moons): Luna (Earth's moon), Io, Callisto, Ganymede, Europa, and Titan. After collecting those ratios, please tell me one thing that you notice that stands out about those results.arrow_forwardYou land on a strange spherical planet X. As a curious physicist, you set out to make the following measurements: (1) you observe that planet X has no appreciable atmosphere, (2) you measure that if you throw a 0.25 kg stone vertically upwards with launch speed 10 m/s, it comes back to ground in 8 sec, and (3) you measure the equatorial circumference to be 250,000 km. What is the mass of planet X? [Hint: The value of g on the planet surface is related to its mass M and radius R by the formula g = GM/R2.] a) 9*1025 kg b) 2.3*1027 kg c) 6.9*1026 kg If you take your spaceship to a 10,000 km altitude circular orbit around planet X, what would be the orbital period of the spaceship? [Hint: Use the fact that the gravitational force causes the radial acceleration to calculate the orbital speed.] a) 4.89 hrs b) 9.78 hrs c) 19.56 hrsarrow_forward
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