Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Textbook Question
Chapter 23, Problem 3P
What 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.)
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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_forwardCalculate Uranuss Roche radius. Are all of Uranuss 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: Uranuss and Neptunes Rings.)arrow_forwardCompare 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_forward
- Calculate the mass of Callisto using a value for its density of 1.8 g/cm3. Convert your answer to units of kg, and compare to the mass of Ganymede given in Problem 5. (Notes: Density is mass divided by volume, and the volume of a sphere is 43r3. Necessary data are given in Appendix Table A-11.) 4. What is the escape velocity from the surface of Ganymede? Ganymedes mass is 1.5 1023 kg and its radius is 2.6 103 km. (Hint: Use the formula for escape velocity, Eq. 5-1b. The formula requires input quantities in kg and m.)arrow_forwardGiven the size of Tritons orbit (r = 355,000 km) and its orbital period (P = 5.88 days), calculate the mass of Neptune. (Hint: Use the formula for circular velocity, Eq. 5-1a. The formula requires input quantities in kg and m.)arrow_forwardIf Uranus and Neptune had no satellites at all, would you expect them to have rings? Why or why not?arrow_forward
- Does Titan experience volcanism today? Impact cratering? How do you know?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_forwardUpload a PDF document that shows your work and solution. - Consider a moon of Uranus if Uranus is currently a distance of 2.08 billion km from Earth, then what diameter telescope would you need (use telescope-resolution formula = 1.22, where D is the telescope diameter) in order to clearly resolve the moon Titania in orbit around Uranus if the 47² )3 to relate moon has a period of orbit of T = 8.71 days? (use Kepler's 3rd Law T² = (GMrave T2 moon's period T to moon's orbital radius, r) The telescope only needs to resolve the small dot of the moon as distinct from the circle of light which is Uranus, so the orbital resolution is the angular size of the diameter of orbit of Miranda (use the arc-length formula 0 = 2 where d is the distance from Earth to Uranus). Take the mass of Uranus as 8.68 × 1025 kg, and the wavelength of light as 490 d nm.arrow_forward
- Tutorial Based on the orbital properties of Uranus, how far across the sky in arc seconds does it travel in one Earth day? The average orbital radius is 2.88 x 109 km and the period is 84.0 years. (Assume Uranus and the Earth are at the closest point to one another in their orbits.) How many full Moons does this distance cover if the Moon has an angular diameter of 0.5 degrees? Part 1 of 4 We first need to determine how fast the planet is moving across the sky. If we know the period and the distance between the Sun and the planet we can calculate the velocity using: 2ar which will tell us how many kilometers the planet travels in a day if we convert the period into days. days = (P years' |days/year Pdays days Submit Skip (you cannot come back)arrow_forwardCompare Titan to Rhea. Estimate the strength of surface gravity on Titan compared to the gravity on Titan. How does this affect the possibility of an atmosphere on each? Use g=GM/R2 Titan Radius: 2,575 km, Mass: 2.31 x 1021 kg Rhea Radius: 764 km, Mass: 1.35 x 1023 kgarrow_forwardIf 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.arrow_forward
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