Foundations of Astronomy (MindTap Course List)
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
bartleby

Videos

Textbook Question
Book Icon
Chapter 22, Problem 9P

What is the orbital velocity and period of a ring particle at the outer edge of Saturn’s A ring? (Hint: Use the formula for circular velocity, Eq. 5-1a. The formula requires input quantities in kg and m.) (Note: The radius of the outer edge of the A ring is 136,500 km.)

Expert Solution & Answer
Check Mark
To determine

The orbital velocity and period of a ring particle at the outer edge of Saturn’s A ring.

Answer to Problem 9P

The orbital velocity of a ring particle at the outer edge of Saturn’s A ring is 1.67×104m/s and orbit period of the ring particle is 14.3h.

Explanation of Solution

Write the expression for the orbital velocity.

    Vs=GMsRs        (I)

Here, Vs is the orbital velocity of Saturn’s A ring, G is the universal gravitational constant, Ms is the mass of Saturn and Rs is the radius of the edge of A ring.

Write the expression for the time period.

    Ts=2πRsVs        (II)

Here, Ts is the time period of a ring particle at the outer edge of Saturn’s A ring.

From the celestial profile, the mass of the Saturn is 5.68×1026kg.

Conclusion:

Substitute 6.67×1011Nm2/kg2 for G, 5.68×1026kg for Ms and 136500km for Rs in equation (I) to find Vs.

    Vs=(6.67×1011Nm2/kg2)(5.68×1026kg)(136500km)=(6.67×1011Nm2/kg2)(5.68×1026kg)(136500km)(103m1km)=(6.67×1011Nm2/kg2)(5.68×1026kg)(136500×103m)=1.67×104m/s

Substitute 136500km for Rs and 1.67×104m/s for VS in equation (II) to find Ts.

    Ts=2π(136500km)(1.67×104m/s)=2π(136500km)(103m1km)(1.67×104m/s)=(5.14×104s)(1h3600s)=14.3h

Therefore, the orbital velocity of a ring particle at the outer edge of Saturn’s A ring is 1.67×104m/s and orbit period of the ring particle is 14.3h.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 22 Solutions

Foundations of Astronomy (MindTap Course List)

Ch. 22 - Which planet formation step did the Jovian planets...Ch. 22 - Why is Jupiters moon lo called a regular...Ch. 22 - Why is Saturns moon Phoebe called an irregular...Ch. 22 - If Jupiter had a satellite the size of our own...Ch. 22 - The density of Earths Moon is 3.3 g/cm3. Which of...Ch. 22 - Ganymede was once completely molten on the inside....Ch. 22 - Describe evidence of tectonic features seen on...Ch. 22 - Why are no craters seen on lo and few seen on...Ch. 22 - Why should you expect lo to suffer more impacts...Ch. 22 - How can you be certain that Jupiters rings do not...Ch. 22 - Why are the belts and zones in the atmosphere of...Ch. 22 - Describe the composition of Saturn from its center...Ch. 22 - If Saturn had no moons, do you think it would have...Ch. 22 - How can Titan keep an atmosphere when Titan is...Ch. 22 - What should the interior composition of Titan be...Ch. 22 - If you were able to stand on the surface of Titan...Ch. 22 - Does Titan experience volcanism today? Impact...Ch. 22 - Describe the types of geological activity observed...Ch. 22 - More Jovian moons are geologically active than...Ch. 22 - Prob. 30RQCh. 22 - If you piloted a spacecraft to visit Saturns moons...Ch. 22 - The ring systems around Jupiter and Saturn lie...Ch. 22 - Saturns rings are primordial, meaning that they...Ch. 22 - What is understood to be the cause of gaps in ring...Ch. 22 - What is understood to be the cause of ripples in...Ch. 22 - Why would you expect research in archaeology to be...Ch. 22 - What is the angular diameter of Jupiter as seen...Ch. 22 - Prob. 2PCh. 22 - What is the angular diameter of Jupiter as seen...Ch. 22 - What is the escape velocity from the surface of...Ch. 22 - Calculate the mass of Callisto using a value for...Ch. 22 - Prob. 6PCh. 22 - Calculate the radius of Jupiters Roche limit for a...Ch. 22 - How long does the eastward wind at the equator of...Ch. 22 - What is the orbital velocity and period of a ring...Ch. 22 - If you were to record the spectrum of Saturn as...Ch. 22 - Prob. 11PCh. 22 - Jupiter is about 71,000 km in radius. The...Ch. 22 - Saturn is about 60,000 km in radius, and its rings...Ch. 22 - Look at Figure 22-4b. Compare the visual and UV...Ch. 22 - Prob. 2LTLCh. 22 - Prob. 3LTLCh. 22 - The Cassini spacecraft recorded the image shown...
Knowledge Booster
Background pattern image
Physics
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
Recommended textbooks for you
Text book image
The Solar System
Physics
ISBN:9781337672252
Author:The Solar System
Publisher:Cengage
Text book image
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Text book image
Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:OpenStax
Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY