Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 23, Problem 4P
Calculate Uranus’s Roche radius. Are all of Uranus’s rings inside the Roche limit? Are any of the moons within the Roche limit? (Notes: The Roche limit is defined in Chapter 22. Necessary data are given in Celestial Profile: Uranus and Appendix Table A-11. The structure of the Uranian system is displayed in the Concept Art: Uranus’s and Neptune’s Rings.)
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If you took all the matter in Saturn’s rings and packed it into a sphere withan average density of 1.2 g/cm3, what would the radius of the sphere be? How does thatcompare to the radius of Mimas, for example? How about the case of Uranus: what wouldthe radius of the sphere composed of all ring mass be? (Again use a density of 1.2 g/cm3)
According to Wikipedia, the lower estimate for the mass of Saturn’s rings is 3 × 1019 kgand the mass of Uranus’s rings is ∼ 2 × 1016 kg.
Chapter 23 Solutions
Foundations of Astronomy (MindTap Course List)
Ch. 23 - Why didnt ancient astronomers know of Uranuss...Ch. 23 - Describe the location of the equinoxes and...Ch. 23 - When during Uranuss seasonal cycle does every...Ch. 23 - How were the rotation periods of Uranus and...Ch. 23 - Why is belt-zone circulation difficult to detect...Ch. 23 - Prob. 6RQCh. 23 - Prob. 7RQCh. 23 - Describe four characteristics in common among all...Ch. 23 - Describe four differences between the two ice...Ch. 23 - Prob. 10RQ
Ch. 23 - What are hypotheses for the origin of the rings of...Ch. 23 - How do the characteristics of Uranuss and Neptunes...Ch. 23 - If Uranus and Neptune had no satellites at all,...Ch. 23 - Why might the surface brightness of ring particles...Ch. 23 - Both Uranus and Neptune have a blue-green tint...Ch. 23 - How are the atmospheres of Earth and Triton...Ch. 23 - Prob. 17RQCh. 23 - When Neptune was discovered, how was its position...Ch. 23 - How can small worlds like Triton and Pluto have...Ch. 23 - Why do you suspect that Triton had a geologically...Ch. 23 - If you visited the surface of Pluto and found...Ch. 23 - What evidence can you give that Pluto and Charon...Ch. 23 - Why was Pluto reclassified as a dwarf planet?Ch. 23 - How was the discovery of Neptune not accidental?Ch. 23 - What is the maximum angular diameter of Uranus as...Ch. 23 - One way to recognize a distant planet is by...Ch. 23 - What is the orbital velocity of Miranda around...Ch. 23 - Calculate Uranuss Roche radius. Are all of Uranuss...Ch. 23 - Prob. 5PCh. 23 - What is the escape velocity from the surface of an...Ch. 23 - What is the difference in the orbital velocities...Ch. 23 - Repeat Problem 2 for Pluto. In other words,...Ch. 23 - Given the size of Tritons orbit (r = 355,000 km)...Ch. 23 - Uranus is about 26,000 km in radius, and its main...Ch. 23 - Neptune is about 50,000 km in diameter, and its...Ch. 23 - Prob. 1LTLCh. 23 - Prob. 2LTLCh. 23 - Compare the interior cutaway sketches of the four...Ch. 23 - Prob. 4LTLCh. 23 - Review Figure 21-11. Which molecules can Triton...Ch. 23 - The image to the left shows how Uranus would look...
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- What is the maximum angular diameter of Uranus as seen from Earth? Of Neptune? (Hint: Use the small-angle formula, Eq. 3-1.) (Note: Necessary data are given in their Celestial Profiles.)arrow_forwardThe image to the left shows how Uranus would look to the unaided human eye, whereas the right image shows how Uranus would look through a red filter, which enhances the methane clouds. What do the visible atmospheric features tell you about circulation on Uranus?arrow_forwardWhat is the orbital velocity of Miranda around Uranus? (Hint: Use the formula for circular velocity, Eq. 5-1a. The formula requires input quantities in kg and m.) (Note: Necessary data are given in Celestial Profile: Uranus and Appendix Table A-11.)arrow_forward
- If Uranus and Neptune had no satellites at all, would you expect them to have rings? Why or why not?arrow_forwardWhy were the rings of Uranus not observed directly from telescopes on the ground on Earth? How were they discovered?arrow_forwardWhy might the surface brightness of ring particles and small moons orbiting Uranus and Neptune depend on whether those planets have extensive, strong magnetic fields?arrow_forward
- Compare the interior cutaway sketches of the four Jovian planets in their Celestial Profiles. What interior layer(s) is (are) shown in Jupiter and Saturn but not in Uranus and Neptune, and vice versa?arrow_forwardDoes Uranus have enough mass to have formed by gravitational collapse? How do you know?arrow_forwardCalculate the radius of Jupiters Roche limit for a satellite with density equal to the planet. Which of Jupiters moons is closest to the Roche limit? What might that tell you about the relationship between that moon and Jupiters ring? (Note: Necessary data are given in Celestial Profile: Jupiter and Appendix Table A-11.)arrow_forward
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