The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 7, Problem 13EAP
Does it Make Sense?
Decide whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all of these have definitive answers, so your explanation is more important than your chosen answer.
13. Uranus orbits the Sun in a direction opposite that of all the other planets.
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Question 1 (Total: 30 points)
a. What is a repeat ground-track orbit?
b. Explain why repeat ground-track and Sun-synchronous orbits are typically used for Earth observation missions.
c. The constraint for a Sun-synchronous and repeat ground-track orbit is given by T = 286, 400, where I is the orbital period in seconds, m the number of days and k
the number of revolutions. Explain why this is, in fact, a constraint on the semi-major axis of the orbit.
1. Why were the main reasons why the idea that the Earth was at the center of the universe lasted so long?
2. Discuss in 2 paragraphs the observations made by Galileo that disproved Geocentrism. Which one do you think was the most important?
3. Write down a hypothesis and observational experiment to test one of Newton’s laws of motion. EXPLAIN YOUR REASONING!
4. One of the first exoplanets discovered orbits the star 51 Pegasi with a period of just 4.2 days. 51 Pegasi is very similar to the Sun. Use Kepler’s laws to find the distance (in astronomical units) between the planet (unofficially named Bellerophon) and its star. SHOW YOUR WORK!
5. How does halving the distance between two objects affect the gravitational force between them?
6. Suppose the Sun were somehow replaced by a star with five times as much mass. What would happen to the gravitational force between the Earth and the Sun?
7. How long would the Earth year last in this last case? (hint: Newton’s version of Kepler’s 3rd…
1. using Newton’s Law of Universal Gravitation and some kinematics calculation we can calculate the mass of the planet. For this, use this equation in the image:
Given:
- vmax = 1.5 m/s
- Pstar = 3.5 days
- Mstar = 1.148 Msun, where Msun = 1.98847×1030 kg. This calculation is not shown.
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...
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- 2. The generalized Kepler orbit is given in polar coordinates r($)=c/(1+e cos()), where c is a constant and & is the eccentricity of the orbit. Rewrite this in Cartesian coordinates for -1 and show that the orbit is a parabola, y² = A + B x, where A and B are constants. Define constants A and B via constant c.arrow_forwardDescribe your approach to calculation of the gravitational field strength on a planet with a given size (e.g. diameter) and known escape velocity. O a. Use Newton's law of universal gravitation. O b. Use Newton's 3rd law. O c. Use Newton's 1st law. O d Use Newton's 2nd law. O e. Use law of conservation of energy.arrow_forwardDescribe the shape of Earth's orbit. Where is the Sun located within the orbit? Explain.arrow_forward
- 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 yearsarrow_forwardChoose the correct answer. Briefly explain and show your solution. Thank you.arrow_forwardResearch the decision to demote Pluto to dwarf planet status. In your opinion, is this a good example of the scientific process? Does it exhibit the hallmarks of science described in Chapter 3? Compare your conclusions to opinions you find about the debate, and describe how you think astronomers should handle this or similar debates in the future.arrow_forward
- Describe your approach to calculation of the gravitational field strength on a planet with a given size (e.g. diameter) and known escape velocity. O a. Use Newton's 3rd law. O b. Use Newton's 2nd law. O C. Use Newton's law of universal gravitation. O d. Use Newton's 1st law. Use law of conservation of energy.arrow_forwardPart B. 1. The table below shows the gravitational force between Saturn and some ring particles that are at different distance from the planet. All of the particles have a mass of 1 kg. Table 1. Distance and Gravitational Force Data Distance of 1- Gravitational kg Ring Particle from Force between Saturn and 1-kg ring particle (in | 10,000 N) 2. Use the data in the table to make a graph of the relationship between distance and gravitational force. Label your graph "Gravitational Force and distance". Center of Saturn (in | 1,000 km) 100 38 Hint: Put the data for distance on the horizontal axis and the data for gravitational force on the vertical axis. 120 26 130 22 150 17 3. Look at your graphed data, and record in your answering sheet any relationship you notice. 180 12 200 9. 220 8 250 280 O 5arrow_forwardConclusion(s) and evidence from investigation: 1. What is the relationship between mass and gravity? 2. How is mass and gravity relevant to the formation of the solar system? (think about the sun) 3. Describe the shape of the solar system. 4. Describe the composition (what it is made of) of the solar system. 5. Describe the revolution (orbit) of the solar system. 6. Identify an anomaly (doesn't match the rest) in the data and propose an explanation for it. 7. What were some patterns you found in the columns? List at least 2. 8. Which is the best evidence that the solar system was created from accretion? Explain why. (There may be more than 1!)arrow_forward
- 1. If people on Earth were viewing a total lunar eclipse, what would you see from your home on the Moon? Draw a diagram. 2. Why were the main reasons why the idea that the Earth was at the center of the universe lasted so long? 3. Discuss in 2 paragraphs the observations made by Galileo that disproved Geocentrism. Which one do you think was the most important? 4. Write down a hypothesis and observational experiment to test one of Newton’s laws of motion. EXPLAIN YOUR REASONING! 5. One of the first exoplanets discovered orbits the star 51 Pegasi with a period of just 4.2 days. 51 Pegasi is very similar to the Sun. Use Kepler’s laws to find the distance (in astronomical units) between the planet (unofficially named Bellerophon) and its star. SHOW YOUR WORK! 6. How does halving the distance between two objects affect the gravitational force between them? 7. Suppose the Sun were somehow replaced by a star with five times as much mass. What would happen to the gravitational force between…arrow_forwardLet'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. 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 Mercury. 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 yearsarrow_forward3. Two planets with the same diameter are close to each other, as shown. One planet has twice the mass as the other planet. (a) At which locations would both planets' gravitational force pull on you in the same direction? (b) Where would you stand so that the force of gravity acting 1 p on you is a maximum? * A D 2m т O 1. (a) A and B (b) D O 2 (a) A and C (b) A O 3 (a) A and D (b) A 4 (a) B and C (b) D O 5 (a) A and D (b) Darrow_forward
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