The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 7, Problem 45EAP
Asteroid Orbit. Ceres, the largest asteroid, has an orbital semimajor axis of 2.77 AU. Use Kepler’s third law to find its orbital period. Compare your answer with the value in Table 7.1, and name the planets that orbit just inside and outside Ceres’s orbit.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Let's use Kepler's laws for the inner planets. Use the following distances from the sun to calculate the orbital period for each of these planets. Express your answer in terms of Earth years to two significant figures. Answer for the highlighted planet in each question.
Note: Use Kepler's law directly. Don't just Google the answers, as they will be a little bit different.
When you have calculated them, only submit the value for Earth.
Planet
Distance from the sun
Period of orbit around the sun
Earth
150 million km
___ Earth years
Mercury
58 million km
___ Earth years
Venus
108 million km
___ Earth years
Mars
228 million km
___ Earth years
4. Calculate the mass of the Sun from Venus's orbital data (mass of venus= 4.87*10^24, distance is .723 AU
from Sun, period is 224 Earth days). Sun Mass=
KG
5. Mars Reconnaissance Orbiter (mass 2180 kg, distance is 170 miles up from the surface, its period is 112
minutes) calculate Mars mass. (Mars radius = 3.397*10^6 meters). Mass=
_Kg
You are given the following data from observations of an exoplanet: Using Kepler’s Third Law (r3 = MT2 where M is the mass of the central star) find the orbital radius in astronomical units of this planet. M = 1.5 times the mass of the sun. Remember to convert days to years using 365.25 as the length of a year in days. What is the semimajor axis of this planet in AU?
- Knowing the orbital radius in both kn and AU, use the value in km to find the circumference of the orbit, then convert that to meters. (Assume the orbit is a perfect circle).
- Knowing the orbital circumference and the period in days, convert the days to seconds (multiply by 86,400) and find the orbital velocity in m/s
- With that orbital velocity, the radius of the orbit in meters, find the centripetal acceleration of our exoplanet
- Knowing the acceleration that our planet experiences, calculate the force that the host star exerts on the planet
- Knowing the force on the planet, the orbital radius, and the mass of the…
Chapter 7 Solutions
The Cosmic Perspective (9th Edition)
Ch. 7 - Prob. 1VSCCh. 7 - Use the following questions to check your...Ch. 7 - Use the following questions to check your...Ch. 7 - Use the following questions to check your...Ch. 7 - What do we mean by comparative planetology? Does...Ch. 7 - What would the solar system look like to your...Ch. 7 - Briefly describe the overall layout of the solar...Ch. 7 - For each of the objects in the solar system tour...Ch. 7 - Briefly describe the patterns of motion that we...Ch. 7 - What are the basic differences between the...
Ch. 7 -
7. What do we mean by hydrogen compounds? In...Ch. 7 -
8. What are asteroids? What are comets? Describe...Ch. 7 - What kind of object in Pluto? Explain.Ch. 7 - What is the Kuiper belt? What is the Oort cloud?...Ch. 7 - Describe at least two “exceptions to the rules”...Ch. 7 - Describe and distinguish between space missions...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Does it Make Sense? Decide whether the statement...Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Choose the best answer to each of the following....Ch. 7 - Why Wait? To explore a planet, we often send first...Ch. 7 - Prob. 35EAPCh. 7 - Prob. 37EAPCh. 7 - Patterns of Motion. In one or two paragraphs,...Ch. 7 - Solar System Trends. Answer the following based on...Ch. 7 - Comparing Planetary Conditions. Use both Table 7.1...Ch. 7 - Prob. 41EAPCh. 7 - Size Comparisons. How many Earths could fit inside...Ch. 7 - Asteroid Orbit. Ceres, the largest asteroid, has...Ch. 7 - Density Classification. Calculate the density of a...Ch. 7 - Comparative Weight. Suppose you weigh 100 pounds....Ch. 7 - New Horizons Speed. On its trajectory to Pluto,...Ch. 7 - Planetary Parallax. Suppose observers at Earth’s...
Knowledge Booster
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
- At present there are 8 planets in the solar system. In the early models, there were only 6 planets. What is the reason behind this? Describe a model of the modern solar system in terms of the number of planets, their arrangement and the model’s center.arrow_forwardScientists at NASA announced the discovery of a new solar system containing four planets. The average distance of each planet from its sun is given in AU. Sort the planets from the shortest orbital period to the longest orbital period. 1. Maroon V 1.2 AU 2. Autumn III 11 AU 3. Aquarius 7.1 AU 4. Planetius 0.54 AUarrow_forwardSaturn’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.arrow_forward
- How does the solar nebula theory explain the orbits of the major planets? Dwarf planets? Does it explain the rotations of the planets? Why or why not?arrow_forwardHow long (in Earth-Years) does it take Saturn to orbit the Sun? Use these values of (average) distance to the Sun. Venus: .72 A.U. Saturn: 9.5 A.U. Give your answer in (Earth) years to the correct number of significant figures.arrow_forwardroblem B.2: Distance of the Planets The table below lists the average distance R to the Sun and orbital period T of the first planets: Distance Orbital Period Mercury 0.39 AU 88 days Venus 0.72 AU 225 days Earth 1.00 AU 365 days Mars 1.52 AU 687 days (a) Calculate the average distance of Mercury, Venus and Mars to the Earth. Which one of these planets is the closest to Earth on average? (b) Calculate the average distance of Mercury, Venus and Earth to Mars. Which one of these planets is the closest to Mars on average? (c) What do you expect for the other planets? Hint: Assume circular orbits and use symmetries to make the distance calculation easier. You can approximate the average distance by using four well-chosen points on the planet's orbit.arrow_forward
- Use Kuiper Belt Object Haumea's eccentricity; e = 0.189, semimajor axis, a = 43.3 AU, and Period, P = 285 yrs, values to a) calculate its perihelion and aphelion distances with Dp = a (1 e) and D₂ = a (1 + e), b) verify if Haumea's a and P satisfy Kepler's third law for all objects orbiting the Sun: p2 = a³. Show your work. Paragraph Lato (Recom... a) Dp= Da= V b) p2= BI 19px... v U A L EQ 58° ...arrow_forwardI. Directions: Complete the given table by finding the ratio of the planet's time of revolution to its radius. Average Radius of Orbit Times of Planet R3 T2 T?/R3 Revolution Mercury 5.7869 x 1010 7.605 x 106 Venus 1.081 x 1011 1.941 x 107 Earth 1.496 x 1011 3.156 x 107 1. What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support? II. Solve the given problems. Write your solution on the space provided before each number. 1. You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. Find the following: a) Speed b) Period c) Radial Acceleration Given: Unknown: Formula: Solution: Answer: Given: Unknown: Formula: Solution: Answer: Given: Unknown: Formula: Solution: Answer:arrow_forwardUntil recently, the term "planet" had no clear-cut definition. In August of 2006, leading astronomers established new guidelines and declared that Pluto is no longer a planet. Which of the following is either false or least consistent with the new guidelines? Group of answer choices Pluto is by far the largest known object in the Kuiper belt, while Eris is the largest known object in the asteroid belt. A planet must have cleared the neighborhood around its orbit. Pluto is automatically disqualified from being a planet because its oblong orbit overlaps with Neptune's. A planet must have sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a nearly round shape. Pluto and the asteroid Ceres are both now classified as dwarf planets.arrow_forward
- After reducing the Planet Mass to 0.5, we observe the subsequent motions. How are the orbits of the Earth and Moon affected? Summarize observations and explain why. A website for the simulation shown in the image: https://phet.colorado.edu/sims/html/gravity-and-orbits/latest/gravity-and-orbits_en.htmlarrow_forwardThe table below presents the semi-major axis (a) and Actual orbital period for all of the major planets in the solar system. Cube for each planet the semi-major axis in Astronomical Units. Then take the square root of this number to get the Calculated orbital period of each planet. Fill in the final row of data for each planet. Table of Data for Kepler’s Third Law: Table of Data for Kepler’s Third Law: Planet aau = Semi-Major Axis (AU) Actual Planet Calculated Planet Period (Yr) Period (Yr) __________ ______________________ ___________ ________________ Mercury 0.39 0.24 Venus 0.72 0.62 Earth 1.00 1.00 Mars 1.52 1.88 Jupiter…arrow_forwardKepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
AstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStax
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:OpenStax
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY