21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 11, Problem 44QP
To determine
The ratio of time period of the particles at the inner and outer diameters of the Saturn’s B Ring.
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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
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GM
What is the orbital velocity and period of a ring particle at the outer edge of Saturn's A ring? (Note: The radius of the edge of the A ring is 136,500 km. Hint: Use the formula for orbital velocity, V. = v
orbital velocity
km/s
period
hr
Saturn’s A, B, and C Rings extend 75,000 to 137,000 km from the center of the planet. Use Kepler’s third law to calculate the difference between how long a particle at the inner edge and a particle at the outer edge of the three-ring system would take to revolve about the planet. Enter the value you get from the ratio of the period of the inner edge to the outer edge of the rings.
Chapter 11 Solutions
21st Century Astronomy
Ch. 11.1 - Prob. 11.1CYUCh. 11.2 - Prob. 11.2ACYUCh. 11.2 - Prob. 11.2BCYUCh. 11.3 - Prob. 11.3CYUCh. 11.4 - Prob. 11.4CYUCh. 11 - Prob. 1QPCh. 11 - Prob. 2QPCh. 11 - Prob. 3QPCh. 11 - Prob. 4QPCh. 11 - Prob. 5QP
Ch. 11 - Prob. 6QPCh. 11 - Prob. 7QPCh. 11 - Prob. 8QPCh. 11 - Prob. 9QPCh. 11 - Prob. 10QPCh. 11 - Prob. 11QPCh. 11 - Prob. 12QPCh. 11 - Prob. 13QPCh. 11 - Prob. 14QPCh. 11 - Prob. 15QPCh. 11 - Prob. 16QPCh. 11 - Prob. 17QPCh. 11 - Prob. 18QPCh. 11 - Prob. 19QPCh. 11 - Prob. 20QPCh. 11 - Prob. 21QPCh. 11 - Prob. 22QPCh. 11 - Prob. 23QPCh. 11 - Prob. 24QPCh. 11 - Prob. 25QPCh. 11 - Prob. 26QPCh. 11 - Prob. 27QPCh. 11 - Prob. 28QPCh. 11 - Prob. 29QPCh. 11 - Prob. 31QPCh. 11 - Prob. 32QPCh. 11 - Prob. 33QPCh. 11 - Prob. 34QPCh. 11 - Prob. 35QPCh. 11 - Prob. 36QPCh. 11 - Prob. 37QPCh. 11 - Prob. 38QPCh. 11 - Prob. 40QPCh. 11 - Prob. 41QPCh. 11 - Prob. 42QPCh. 11 - Prob. 43QPCh. 11 - Prob. 44QPCh. 11 - Prob. 45QP
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- I 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_forwardThe Great Red Patch is the term given to the enormous red area on Jupiter's surface. Are there any predictions on how long it will take the planet to complete its rotation?arrow_forwardWhat is the orbital speed, in kilometers per second, of ring particles at the inner edge of Saturn's B ring?arrow_forward
- What is the consequence of Uranus’ spin axis being 98° away from perpendicular to its orbital plane?arrow_forwardWhy is Pluto not considered a major planet, and what other peculiarity distinguishes it from the major planets?arrow_forwardWhy do you think the outer planets have such extensive systems of rings and moons, while the inner planets do not?arrow_forward
- How long does the eastward wind at the equator of Saturn take to circle the planet once at a speed of 500 m/s? Compare this value with the rotation period of the planet. (Note: Necessary data are given in Celestial Profile: Saturn.)arrow_forwardDoes Uranus have enough mass to have formed by gravitational collapse? How do you know?arrow_forwardWhat is the angular diameter of Saturn (in degrees) as seen from the surface of Rhea?arrow_forward
- Saturn is approximately a sphere of radius 5.85 × 10’ m. (a) What is its circumference in kilometers? km (b) What is its surface area in square kilometers? 2 km2 (c) What is its volume in cubic kilometers? km3arrow_forwardGiven the following information on Jupiter's Galilean moons, (a) determine the average mass of Jupiter and (b) compare to the known value of 1.898 × 1027 kg. Jupiter's diameter is 1.40 × 105 km. Assume the diameter of Jupiter is 139,820 km. Period in Orbital Diameter in Name Days Jupiter Diameters lo 1.77 6.03 Europa 3.55 9.60 Ganymede 7.16 15.3 Callisto 16.7 26.9arrow_forward
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