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 2P
One way to recognize a distant planet is by studying the planet’s motion along its orbit. If Uranus circles the Sun in 84.0 years, how many arc seconds will it move in 1 Earth day? Assume a circular orbit for Uranus, and pretend that Earth is not moving.
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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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Estimate the length of period of Neptune assuming that the length of the semimajor axis of the ellipse is
a = 449.51 x 101º m.
For Earth, a = 15.0 × 1010
m.
(Use decimal notation. Give your answer to two decimal places.)
The asteroid Ceres has a mass of 9.39 ✕ 1020 kg and an average radius of about 473 km (4.73 ✕ 102 km). What is its escape velocity (in m/s)? (Hints: Use the formula for escape velocity)
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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- A)At what altitude would a geostationary sattelite need to be above the surface of Mars? Assume the mass of Mars is 6.39 x 1023 kg, the length of a martian solar day is 24 hours 39minutes 35seconds, the length of the sidereal day is 24hours 37minutes 22seconds, and the equatorial radius is 3396 km. The answer can be calculated using Newton's verison of Kepler's third law.arrow_forwardRhea orbits Saturn with an average radius of 527,000 km and a period of 4.518 days. Based upon these data, what is the mass of Saturn (in kg)?arrow_forwardWhat would be the angular diameter (in arc seconds) of a planet with diameter 8.5 x 105 km and orbital distance from it's star of 175 x 108 km as seen from a planet with. orbital distance from the same star of 70 x 107 km as seen from their closest approach?arrow_forward
- The chart shows the length of time for each planet, in Earth days, to make one complete revolution around the Sun. Orbital Period of Planets iY the Solar System Orbital Period (Earth days) 88 225 365 687 4333 10 759 30 685 60 189 Planet Mercury Venus Earth Mars Jupiter Satum Uranus Neptune Source: NASA Use the data table above to compare the length of a year on Mars and Neptune. (HS-ESS1-4) a. One year on Neptune is almost 100 times longer than a year on Mars. b. One year on these two planets is nearly equal. c. One year on Mars is almost 100 times longer than a year on Neptune. d. One year these two planets is roughly equal to a year on Earth. Use the data table above to determine which of the following statements is TRUE. (HS-ESS1-4) a. There is no relationship between a planet's distance from the Sun and its length of year. b. The closer a planet is to the Sun, the longer the planet's year. c. One year on all planets is about 365 days long. d. The farther away a planet is from the…arrow_forward(a) What is the difference between the forces due to Uranus on a 1.0 kg mass located at the near side of Ariel and at the far side of Ariel? Ariel has a mean radius of 579 km and a mean orbital radius about Uranus of 199,900 km. (Enter the magnitude in newtons.) N (b) Compare this difference to the difference for Earth due to the Moon, 0.22 × 10' -5 N. (Tidal forces are the cause of volcanic activity on some moons.) ΔF, Ariel due to Uranus ΔF. Earth due to Moonarrow_forwardTwo exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet UCF1.01 is 4.8 days, and that of planet UCF1.02 is 5.2 days. If the average distance of planet A to the sun is 2,885.4 km, what is the average distance of planet B to the sun km? Please keep four digits after decimal points.arrow_forward
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