{"id":1285,"date":"2017-05-25T19:47:58","date_gmt":"2017-05-25T19:47:58","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/?post_type=chapter&p=1285"},"modified":"2017-05-25T19:47:58","modified_gmt":"2017-05-25T19:47:58","slug":"exercises-comets-and-asteroids","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/towson-astronomy\/chapter\/exercises-comets-and-asteroids\/","title":{"raw":"Exercises: Comets and Asteroids","rendered":"Exercises: Comets and Asteroids"},"content":{"raw":"
\r\n

Collaborative Group Activities<\/h1>\r\n
    \r\n \t
  1. Your group is a congressional committee charged with evaluating the funding for an effort to find all the NEAs (near-Earth asteroids) that are larger than 0.5 kilometers across. Make a list of reasons it would be useful to humanity to find such objects. What should we (could we) do if we found one that will hit Earth in a few years?<\/li>\r\n \t
  2. Many cultures considered comets bad omens. Legends associate comets with the deaths of kings, losses in war, or ends of dynasties. Did any members of your group ever hear about such folktales? Discuss reasons why comets in earlier times may have gotten this bad reputation.<\/li>\r\n \t
  3. Because asteroids have a variety of compositions and a low gravity that makes the removal of materials quite easy, some people have suggested that mining asteroids may be a way to get needed resources in the future. Make a list of materials in asteroids (and comets that come to the inner solar system) that may be valuable to a space-faring civilization. What are the pros and cons of undertaking mining operations on these small worlds?<\/li>\r\n \t
  4. As discussed in the feature box on Comet Hunting as a Hobby<\/a>, amateur comet hunters typically spend more than 400 hours scanning the skies with their telescopes to find a comet. That\u2019s a lot of time to spend (usually alone, usually far from city lights, usually in the cold, and always in the dark). Discuss with members of your group whether you can see yourself being this dedicated. Why do people undertake such quests? Do you envy their dedication?<\/li>\r\n \t
  5. The largest Kuiper belt objects known are also called dwarf planets. All the planets (terrestrial, jovian, and dwarf) in our solar system have so far been named after mythological gods. (The dwarf planet names have moved away from Roman mythology to include the gods of other cultures.) Have your group discuss whether we should continue this naming tradition with newly discovered dwarf planets. Why or why not?<\/li>\r\n \t
  6. The total cost of the Rosetta mission to match courses with a comet was about 1.4 billion Euros (about $1.6 billion US). Have your group discuss whether this investment was worth it, giving reasons for whichever side you choose. (On the European Space Agency website, they put this cost in context by saying, \"The figure is barely half the price of a modern submarine, or three Airbus 380 jumbo jets, and covers a period of almost 20 years, from the start of the project in 1996 through the end of the mission in 2015.\")<\/li>\r\n \t
  7. If an Earth-approaching asteroid were discovered early enough, humanity could take measures to prevent a collision. Discuss possible methods for deflecting or even destroying an asteroid or comet. Go beyond the few methods mentioned in the text and use your creativity. Give pros and cons for each method.<\/li>\r\n<\/ol>\r\n<\/section>
    \r\n

    Review Questions<\/h1>\r\n
    \r\n
    \r\n

    Why are asteroids and comets important to our understanding of solar system history?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Give a brief description of the asteroid belt.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Describe the main differences between C-type and S-type asteroids.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    In addition to the ones mentioned in [link]<\/a>, what is the third, rarer class of asteroids?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Vesta is unusual as it contains what mineral on its surface? What does the presence of this material indicate?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Compare asteroids of the asteroid belt with Earth-approaching asteroids. What is the main difference between the two groups?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Briefly describe NASA\u2019s Spaceguard Survey. How many objects have been found in this survey?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Who first calculated the orbits of comets based on historical records dating back to antiquity?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Describe the nucleus of a typical comet and compare it with an asteroid of similar size.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Describe the two types of comet tails and how each are formed.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    What classification is given to objects such as Pluto and Eris, which are large enough to be round, and whose orbits lie beyond that of Neptune?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Describe the origin and eventual fate of the comets we see from Earth.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    What evidence do we have for the existence of the Kuiper belt? What kind of objects are found there?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Give brief descriptions of both the Kuiper belt and the Oort cloud.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/section>

    \r\n

    Thought Questions<\/h1>\r\n
    \r\n
    \r\n

    Give at least two reasons today\u2019s astronomers are so interested in the discovery of additional Earth-approaching asteroids.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Suppose you were designing a spacecraft that would match course with an asteroid and follow along its orbit. What sorts of instruments would you put on board to gather data, and what would you like to learn?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Suppose you were designing a spacecraft that would match course with a comet and move with it for a while. What sorts of instruments would you put on board to gather data, and what would you like to learn?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Suppose a comet were discovered approaching the Sun, one whose orbit would cause it to collide with Earth 20 months later, after perihelion passage. (This is approximately the situation described in the science-fiction novel Lucifer\u2019s Hammer<\/em> by Larry Niven and Jerry Pournelle.) What could we do? Would there be any way to protect ourselves from a catastrophe?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    We believe that chains of comet fragments like Comet Shoemaker-Levy 9\u2019s have collided not only with the jovian planets, but occasionally with their moons. What sort of features would you look for on the outer planet moons to find evidence of such collisions? (As an extra bonus, can you find any images of such features on a moon like Callisto? You can use an online site of planetary images, such as the Planetary Photojournal<\/em>, at photojournal.jpl.nasa.gov.)<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Why have we found so many objects in the Kuiper belt in the last two decades and not before then?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Why is it hard to give exact diameters for even the larger objects in the Kuiper belt?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/section>

    \r\n

    Figuring for Yourself<\/h1>\r\n
    \r\n
    \r\n

    Refer to [link]<\/a>. How would the calculation change if a typical comet in the Oort cloud is only 1 km in diameter?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Refer to [link]<\/a>. How would the calculation change if a typical comet in the Oort cloud is larger\u2014say, 50 km in diameter?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    The calculation in [link]<\/a> refers to the known Oort cloud, the source for most of the comets we see. If, as some astronomers suspect, there are 10 times this many cometary objects in the solar system, how does the total mass of cometary matter compare with the mass of Jupiter?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    If the Oort cloud contains 1012<\/sup> comets, and ten new comets are discovered coming close to the Sun each year, what percentage of the comets have been \"used up\" since the beginning of the solar system?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    The mass of the asteroids is found mostly in the larger asteroids, so to estimate the total mass we need to consider only the larger objects. Suppose the three largest asteroids\u2014Ceres (1000 km in diameter), Pallas (500 km in diameter), and Vesta (500 km in diameter)\u2014account for half the total mass. Assume that each of these three asteroids has a density of 3 g\/cm3<\/sup> and calculate their total mass. Multiply your result by 2 to obtain an estimate for the mass of the total asteroid belt. How does this compare with the mass of the Oort cloud?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    Make a similar estimate for the mass of the Kuiper belt. The three largest objects are Pluto, Eris, and Makemake (each roughly 2000 km). In addition, assume there are eight objects (including Haumea, Orcus, Quaoar, Ixion, Varuna, and Charon, and objects that have not been named yet) with diameters of about 1000 km. Assume that all objects have Pluto\u2019s density of 2 g\/cm3<\/sup>. Calculate twice the mass of the largest 13 objects and compare it to the mass of the main asteroid belt.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    What is the period of revolution about the Sun for an asteroid with a semi-major axis of 3 AU in the middle of the asteroid belt?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

    \r\n
    \r\n

    What is the period of revolution for a comet with aphelion at 5 AU and perihelion at the orbit of Earth?<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/section>","rendered":"

    \n

    Collaborative Group Activities<\/h1>\n
      \n
    1. Your group is a congressional committee charged with evaluating the funding for an effort to find all the NEAs (near-Earth asteroids) that are larger than 0.5 kilometers across. Make a list of reasons it would be useful to humanity to find such objects. What should we (could we) do if we found one that will hit Earth in a few years?<\/li>\n
    2. Many cultures considered comets bad omens. Legends associate comets with the deaths of kings, losses in war, or ends of dynasties. Did any members of your group ever hear about such folktales? Discuss reasons why comets in earlier times may have gotten this bad reputation.<\/li>\n
    3. Because asteroids have a variety of compositions and a low gravity that makes the removal of materials quite easy, some people have suggested that mining asteroids may be a way to get needed resources in the future. Make a list of materials in asteroids (and comets that come to the inner solar system) that may be valuable to a space-faring civilization. What are the pros and cons of undertaking mining operations on these small worlds?<\/li>\n
    4. As discussed in the feature box on Comet Hunting as a Hobby<\/a>, amateur comet hunters typically spend more than 400 hours scanning the skies with their telescopes to find a comet. That\u2019s a lot of time to spend (usually alone, usually far from city lights, usually in the cold, and always in the dark). Discuss with members of your group whether you can see yourself being this dedicated. Why do people undertake such quests? Do you envy their dedication?<\/li>\n
    5. The largest Kuiper belt objects known are also called dwarf planets. All the planets (terrestrial, jovian, and dwarf) in our solar system have so far been named after mythological gods. (The dwarf planet names have moved away from Roman mythology to include the gods of other cultures.) Have your group discuss whether we should continue this naming tradition with newly discovered dwarf planets. Why or why not?<\/li>\n
    6. The total cost of the Rosetta mission to match courses with a comet was about 1.4 billion Euros (about $1.6 billion US). Have your group discuss whether this investment was worth it, giving reasons for whichever side you choose. (On the European Space Agency website, they put this cost in context by saying, “The figure is barely half the price of a modern submarine, or three Airbus 380 jumbo jets, and covers a period of almost 20 years, from the start of the project in 1996 through the end of the mission in 2015.”)<\/li>\n
    7. If an Earth-approaching asteroid were discovered early enough, humanity could take measures to prevent a collision. Discuss possible methods for deflecting or even destroying an asteroid or comet. Go beyond the few methods mentioned in the text and use your creativity. Give pros and cons for each method.<\/li>\n<\/ol>\n<\/section>\n
      \n

      Review Questions<\/h1>\n
      \n
      \n

      Why are asteroids and comets important to our understanding of solar system history?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Give a brief description of the asteroid belt.<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Describe the main differences between C-type and S-type asteroids.<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      In addition to the ones mentioned in [link]<\/a>, what is the third, rarer class of asteroids?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Vesta is unusual as it contains what mineral on its surface? What does the presence of this material indicate?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Compare asteroids of the asteroid belt with Earth-approaching asteroids. What is the main difference between the two groups?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Briefly describe NASA\u2019s Spaceguard Survey. How many objects have been found in this survey?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Who first calculated the orbits of comets based on historical records dating back to antiquity?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Describe the nucleus of a typical comet and compare it with an asteroid of similar size.<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Describe the two types of comet tails and how each are formed.<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      What classification is given to objects such as Pluto and Eris, which are large enough to be round, and whose orbits lie beyond that of Neptune?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Describe the origin and eventual fate of the comets we see from Earth.<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      What evidence do we have for the existence of the Kuiper belt? What kind of objects are found there?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Give brief descriptions of both the Kuiper belt and the Oort cloud.<\/p>\n<\/div>\n<\/div>\n<\/section>\n

      \n

      Thought Questions<\/h1>\n
      \n
      \n

      Give at least two reasons today\u2019s astronomers are so interested in the discovery of additional Earth-approaching asteroids.<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Suppose you were designing a spacecraft that would match course with an asteroid and follow along its orbit. What sorts of instruments would you put on board to gather data, and what would you like to learn?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Suppose you were designing a spacecraft that would match course with a comet and move with it for a while. What sorts of instruments would you put on board to gather data, and what would you like to learn?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Suppose a comet were discovered approaching the Sun, one whose orbit would cause it to collide with Earth 20 months later, after perihelion passage. (This is approximately the situation described in the science-fiction novel Lucifer\u2019s Hammer<\/em> by Larry Niven and Jerry Pournelle.) What could we do? Would there be any way to protect ourselves from a catastrophe?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      We believe that chains of comet fragments like Comet Shoemaker-Levy 9\u2019s have collided not only with the jovian planets, but occasionally with their moons. What sort of features would you look for on the outer planet moons to find evidence of such collisions? (As an extra bonus, can you find any images of such features on a moon like Callisto? You can use an online site of planetary images, such as the Planetary Photojournal<\/em>, at photojournal.jpl.nasa.gov.)<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Why have we found so many objects in the Kuiper belt in the last two decades and not before then?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Why is it hard to give exact diameters for even the larger objects in the Kuiper belt?<\/p>\n<\/div>\n<\/div>\n<\/section>\n

      \n

      Figuring for Yourself<\/h1>\n
      \n
      \n

      Refer to [link]<\/a>. How would the calculation change if a typical comet in the Oort cloud is only 1 km in diameter?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Refer to [link]<\/a>. How would the calculation change if a typical comet in the Oort cloud is larger\u2014say, 50 km in diameter?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      The calculation in [link]<\/a> refers to the known Oort cloud, the source for most of the comets we see. If, as some astronomers suspect, there are 10 times this many cometary objects in the solar system, how does the total mass of cometary matter compare with the mass of Jupiter?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      If the Oort cloud contains 1012<\/sup> comets, and ten new comets are discovered coming close to the Sun each year, what percentage of the comets have been “used up” since the beginning of the solar system?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      The mass of the asteroids is found mostly in the larger asteroids, so to estimate the total mass we need to consider only the larger objects. Suppose the three largest asteroids\u2014Ceres (1000 km in diameter), Pallas (500 km in diameter), and Vesta (500 km in diameter)\u2014account for half the total mass. Assume that each of these three asteroids has a density of 3 g\/cm3<\/sup> and calculate their total mass. Multiply your result by 2 to obtain an estimate for the mass of the total asteroid belt. How does this compare with the mass of the Oort cloud?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      Make a similar estimate for the mass of the Kuiper belt. The three largest objects are Pluto, Eris, and Makemake (each roughly 2000 km). In addition, assume there are eight objects (including Haumea, Orcus, Quaoar, Ixion, Varuna, and Charon, and objects that have not been named yet) with diameters of about 1000 km. Assume that all objects have Pluto\u2019s density of 2 g\/cm3<\/sup>. Calculate twice the mass of the largest 13 objects and compare it to the mass of the main asteroid belt.<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      What is the period of revolution about the Sun for an asteroid with a semi-major axis of 3 AU in the middle of the asteroid belt?<\/p>\n<\/div>\n<\/div>\n

      \n
      \n

      What is the period of revolution for a comet with aphelion at 5 AU and perihelion at the orbit of Earth?<\/p>\n<\/div>\n<\/div>\n<\/section>\n\n\t\t\t

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      CC licensed content, Shared previously<\/div>