EBK THE COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135161753
Author: Voit
Publisher: VST
expand_more
expand_more
format_list_bulleted
Textbook Question
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The moons Prometheus and Pandora orbit Saturn at 139,350 and 141,700
kilometers, respectively.
a. Using Newton's version of Kepler's third law, find the orbital periods of the
two moons.
b. Find the percent difference in their.distances and in their orbital periods.
c. 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.
How long (in Earth-Years) does it take Saturn
to orbit the Sun? Use these values of
(average) distance to the Sun.
Venus: .72 A.U.
Saturn: 9.5 A.U.
Give your answer in (Earth) years to the
correct number of significant figures.
An asteroid is observed to be on a
superior orbit with a synodic period of
466.6 days. What are the sidereal orbital
period and semi-major axis of this
asteroid? Choose the option below that
most closely matches your answers.
Select one:
O a. Sidereal period = 1683 days and
%3D
semi-major = 2.7 AU
O b. Sidereal period = 1683 days and
semi-major axis = 4.8 AU
O c. Sidereal period = 865 days and semi-
major axis = 1.8 AU
O d. Sidereal period = 426 day and semi-
%3D
major axis = 2.7 AU
O e. Sidereal period = 1727 days and
е.
semi-major axis = 0.8 AU
Chapter 11 Solutions
EBK THE COSMIC PERSPECTIVE
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...
Knowledge Booster
Learn more about
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
- The planet Saturn has a mass of 5.68×10^26 kg and a radius of 58,200 km. Janus, a moon of Saturn, has a mass of 1.9×10^18 kg and it orbits Saturn a distance of 151,400 km from the center of Saturn. - How many hours does it take for Janus to orbit Saturn?arrow_forwardWhy might Tycho Brahe have hesitated to hire Kepler? Why do you suppose he appointed Kepler his scientific heir? What is limited about Keplers third law P2 = a3, where P is the time in units of years a planet takes to orbit the Sun and a is the planets average distance from the Sun in units of AU? (Hint: Look at the units.) What does this tell you about Kepler and his laws?arrow_forwardUsing Kepler’s Third Law (r3 = MT2 where M is the mass of the central star) find the orbital radius in astronomical units of this planet. M = 1.5 times the mass of the sun. Remember to convert days to years using 365.25 as the length of a year in days. Key Points to know: - The semimajor axis of the planet in AU is r = 0.0379 AU - The circumference of the orbit is l = 3.562 x 10^10 m - The orbital velocity in m/s is v = 1.874 x 10^5 m/s Questions that need to be answered: - With that orbital velocity, the radius of the orbit in meters, find the centripetal acceleration of our exoplanet: - Knowing the acceleration that our planet experiences, calculate the force that the host star exerts on the planet: - Knowing the force on the planet, the orbital radius, and the mass of the parent star, use the equation for gravitational force to find the mass of our planet (m2). (To get m1 in kg multiply the mass of the star in solar masses by 1.98 x 1030).arrow_forward
- Suppose you're in a circular orbit around Saturn (M = 5.683 x 1026 kg) with a semi-major axis of a = 237,948 km. a. What is your orbital velocity? b. Using the "Vis-viva" equation (which can be derived from the total energy) v = GM What is the delta-V you would need to get from your current orbit, into an elliptical orbit that has an apoapsis near Titan (a = 1,221,870 km)?arrow_forwardKepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.arrow_forwardThere is one part to this question. I need to know the m/s. Thank you!arrow_forward
- What would be the answer for 7 8 and 9arrow_forwardPluto’s orbit around the Sun is highly elliptical compared to the planets in our Solar System. It has a perihelion distance of 29.7 AU and an aphelion distance of 49.5 AU. a) What is the semi-major axis of Pluto’s orbit, in AU? b) What is Pluto’s orbital period, in Earth years?arrow_forwardDione, a moon of Saturn, has an orbital radius of 377,400 km, and an orbital period of about 2.737 Earth days. Find the orbital period of Rhea, another moon of Saturn, which has an orbital radius of 527,040 km. Find the period in Earth days. Round to the nearest hundredth. Don't worry about putting the unit, just put the answer.arrow_forward
- Saturn’s moon Mimas has an orbital period of T= 82,800 s at a distance of d= 1.87 × 10^8 m from Saturn. Using Kepler's 3rd law listed below for mass to determine Saturn’s mass. You must show your calculations for credit.arrow_forwardA new mystery planet is detected around our Sun. We measure it’s position relative to the Sun to be 2 AU at perihelion and 6 AU at aphelion. What is the semi-major axis of this planet’s orbit (in AU)? With that information, what is the orbital period of that planet(in years)?arrow_forwardA new mystery planet is detected around our Sun. We measure its position relative to the Sun to be 2 AU at perihelion and 6 AU at aphelion. What is the semimajor axis of this planet's orbit (in AU)? With that information, what is the orbital period of that planet (in years)? If this planet has the same mass as Earth, how does the average force of gravity on the planet by the Sun compare with the average force of gravity on the Earth by the Sun? Please give a numerical ratio of the forces. (Hint: You can take the semimajor axis to represent the average position of the planets) 6:this is all one question with multiples steps. Thank youarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Foundations of Astronomy (MindTap Course List)PhysicsISBN:9781337399920Author:Michael A. Seeds, Dana BackmanPublisher:Cengage LearningStars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage Learning
- Stars and GalaxiesPhysicsISBN:9781305120785Author:Michael A. Seeds, Dana BackmanPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Stars and Galaxies (MindTap Course List)
Physics
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Cengage Learning
Stars and Galaxies
Physics
ISBN:9781305120785
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY