Homework KEY AT 9th Ed. Chapter 6 Overview of the Solar System Assigned: 1-15 (odd), Multiple Choice 1-9 odd Review and Discussion 1. What is comparative planetology? Why is it useful? What is its ultimate goal? Comparative planetology involves looking at all of the similarities and differences between the planets. Since the Earth is most important to us, we usually start by comparing to the Earth. This helps us refute any incorrect generalizations about planets that were based on Earth alone. For example, we might generalize that plate tectonics exists on all terrestrial planets, but this is not true. It is useful for gaining a better understanding of the conditions under which planets form and evolve. It is especially useful in noticing things that are absent in one object but not another. The goal is a comprehensive theory of the origin and evolution of our planetary system. 2. Name and describe all of the different types of objects found in the solar system. Give one distinguishing characteristic of each. Mention interplanetary space. Our solar system contains 8 planets, 1 Sun (star), asteroids, meteoroids, comets, over 170 moons, and interplanetary dust. There are two main types of planets: terrestrial and Jovian, with the terrestrials found close to the Sun and the Jovians found between 5 and 30 AU. The space between the planets is almost a vacuum except for dust, gas and charged particles (mostly coming from the Sun). 3. Why is it necessary to know the distance to a planet in order to determine its mass? A planet's mass is determined using one or more of its moons and Kepler's Third Law. This law requires that we know the size of the orbit (in m or km), and this can only be determined if we know the distance to the planets. From Earth, we can measure the angular distance between the planet and its Moon, call it A, and we can measure the actual orbital radius, R, if we know the distance to the planet, D using: A*D = R. (This assumes that A is in radians, and R and D are in the same length unit.) 4. Name 3 important differences between the terrestrial and Jovian planets. First, the terrestrial planets are all in the inner 1.5 AU of the solar system, while the jovian planets are scattered from 5 to 30 AU. Second, the jovian planets are all substantially larger, in both mass and radius. Finally, the terrestrial planets are mostly made of rock and metal, with a much higher density than the jovian planets, which are made mostly of light gases and liquid. 5. Why are asteroids and meteoroids important to planetary scientists? These objects have not been transformed as much as the planets since the solar system formed. They are remnants of "planetesimals", the fragments that went into forming planets and their moons. [ 5. (7th Ed.) Disorderly properties of the Solar system include the way that Mercury has a more tilted orbit than the others. The spin axes of Venus and Uranus are tipped more than 90 degrees so we consider their rotation to be "retrograde". Some moons, like Nereid, have retrograde orbits. Comets come in from the Oort cloud at all angles. And collisions between meteoroids and other bodies in the solar system occur fairly randomly. ] 6. Comets generally vaporize upon striking Earth's atmosphere. How, then, do we know their composition? We know of the composition of comets in a few ways. First, we can do spectroscopy of the comet and see which gases are in its tail. Second, we have sent spacecraft to collect samples from comets (e.g., "Stardust" collected some of the coma of a comet using aerogels). Comets also release dusty particles which reflect sunlight in different ways, and reveal information about their size and composition. 7. What is the key ingredient in the modern condensation theory of the solar system's origin that was missing or unknown in the nebular theory? They key ingrediant that makes condensation theory more successful than nebular theory at explaining planet formation is the presence of DUST in the gases. These serve as nuclei for condensation and so they can grow and clump together through weak electrostatic forces (stickiness). 8. Give three examples of how the condensation theory explains the observed features of the present-day solar system. The condensation theory predicts higher density planets close to the Sun because only metals and rocks could condense there. It also predicts a change in composition and density of planetesimal-like objects (asteroids, KBOs, comets) with distance such that the higher density, metal-rich objects are close to the Sun and objects rich in frozen volatiles are far from the Sun. The Moons around Jovians have crusts made largely of water ice indicate of the composition of the outer solar nebula. 9. Describe how the terrestrial planets formed. Mercury, Venus, earth and Mars formed out of the inner, hottest part of the solar nebula. The grains of dust were first thought to have stuck together due to electrostatic forces. They grew in gentle encounters until they formed planetesimals that could grow by gravitational attraction of smaller pieces. The largest planetesimals could survive further collisions and eventually became "protoplanets". These evolved through processes like differentiation into the planets. 10. Why are the Jovians so much more massive than the terrestrials? The gases were able to condense into ices a join with rock and metals to form much larger planet cores in the outer solar system. These cores could then gravitationally attract even the lightest gases (H and He) to further build the planet in ways that terrestrials could not. Also, the Jovians had a much larger reservoir of material in the vicinity of their orbits to attract. (Picture the bigger gaps between the orbits of Jupiter, Saturn, etc., compared to between Mercury, Venus, Earth, etc.) 11. How did the temperature structure of the solar nebula determine planetary composition? As a given material increases in temperature it can more readily sublimate (transform from solid to gas) or melt (transform from solid to liquid). (Under the low pressure of space, some materials will only be a solid or a gas, skipping over the liquid phase.) If the temperature of the nebula decreases with distance from the Sun, there will be certain distances corresponding to these melting and sublimation points. Closer to the Sun, only the highest melting point materials will be able exist as dust grains and stick together and grow into planetesimals. Farther from the Sun, both low and high melting point materials will adhere to dust grains. If it's cold enough, the grains can contain frozen gases / volatiles like CO2 and H2O. So planetesimals forming at large distances from the Sun will contain more gases and volatiles than those at small distances. The planets, in turn, form out of the planetesimals, so outer planets will contain more low-sublimation point materials than inner planets. 12. Describe two possible ways in which the jovian planets formed. What role did the Sun play in the process? One proposal, the core-accretion theory, is that the Jovian planets formed into protoplanets by the process of accretion, as the inner planets did. However, because of the abundance of lighter materials in the outer solar system, these protoplanets were able to wrap themselves up in thick atmospheres. A big problem with this idea is that there might not have been enough time to gather up those atmospheres, before the young sun's "T Tauri wind" drove material out of the solar system. And so a second idea has sprung up, the gravitational instability theory, which proposes that large sections of the original solar nebula began to contract under the influence of gravity to form the Jovian planets and their ring and moon systems. In this scenario, the Jovian planets formed much like the Sun and other stars. The first scenario leads to much larger rocky-ice cores in the giant planets, so further investigation of the interiors of these planets may help us decide between the two proposals. 13. What happened to the outer planets as the solar system was cleared of icy planetesimals? Jupiter migrated inward as it looses some of its kinetic energy to encounters with planetesimals. Saturn, Uranus and especially Neptune probably migrated outward due to influence of Jupiter, and from sending planetesimals inward. [ 13. Scientists use gravitational assists to accelerate their spacecraft so that they can travel to the outer planets, overcoming the gravity of the Sun. They do this by planning a trajectory that brings the spacecraft towards a planet in such a way that it approaches from behind the planet (so the craft is already going in the same direction as the planet). Then the planet's gravity will mostly speed up the spacecraft rather than slow it down. ] 14. How did the Kuiper belt and the Oort cloud form? In the early days of the solar system, there were an immense number of icy planetesimals mingled with the Jovian planets. Over time, these icy chunks would be attracted to the larger planets. Many would simply collide with the planets or be captured as moons, but some would be traveling so fast, and at just the right angle, to fall toward the planet and "miss." Much like the spacecraft that we often "slingshot" around the planets, these icy planetesimals would go flying off into space. Some - especially those interacting with Uranus and Neptune - would go on to populate the Kuiper Belt along with very distant planetesimals that had no interactions. Others - especially those that pass by mighty Jupiter - could be flung out to the Oort Cloud. 15. Describe a possible history of a single comet now visible from Earth, starting with its birth in the solar nebula somewhere near the orbit of Jupiter. Perhaps some comets formed as close as 5 AU from the Sun (this is beyond the frost line after all). (Others may have formed at much greater distances.) A comet that formed close to Jupiter would have its orbit altered by Jupiter. It would likely be given a high speed which would give it a large, eccentric, and highly inclined orbit, possibly spending most of its time in the Oort cloud but occasionally returning to the inner solar system. Earthlings could observe this as a "long-period comet" coming in towards the Sun on a nearly parabolic orbit. There the light and heating of the Sun would create a temporary tail behind the comet and make it more visible to those on Earth. [ 15. Galileo and Cassini took such circuitous routes compared to Pioneer and Voyager primarily so that they could use gravitational assists from the inner planets to accelerate without using extra fuel/power. ] [ 19. The Jovian planets are more massive than the terrestrials because, after the formation of their solid cores, they had a much larger reservoir of gas in their orbits to attract. (Picture the bigger gaps between the orbits of Jupiter, Saturn, Uranus, etc. compared to the gaps between Mercury, Venus, Earth, etc.) The more massive they got, the more effect they were at capturing other material. Also, the winds and radiation pressure from the forming Sun would be more effective at pushing away the gas from the vicinity of the terrestrials than the Jovians, and the gas that is pushed outside of Mars' orbit may end up joining with the gas planets. ] Conceptual Self-Test: Multiple Choice Long key: 1. A planet's mass can most easily be determined by measuring the planets _____ A) moon's orbits 2. If we were to construct an accurate scale model of the solar system on a football field with the Sun at one end and Neptune at the other, the planet closest to the center of the field would be _____ D) (Uranus barely beats choice C, Saturn) 3. The inner planets tend to have _____ A) fewer moons 4. A solar system object of rocky composition and comparable in size to a small city is most likely C) an asteroid 5. The asteroids are mostly _____ A) found between Mars and Jupiter 6. In the leading theory of solar system formation, the planets ____ B) formed from the same gas cloud as the Sun 7. The inner planets formed ________ C) by collisions and mergers of planetesimals 8. The solar system is differentiated because _____ D) only rocky and metallic particles could form close to the Sun 9. According to figure 6.18, the jovian planets formed _____ C) within a few million years of the Sun's formation 10. According to Figure 6.14, the temperature in the solar nebula at the location now at the center of the asteroid belt was ____ C) 400 K