Exam 4: Gravitation and the Waltz of the Planets

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How does the speed of a communications satellite vary as it moves around Earth?

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At what position in its orbit will an inferior planet appear to be moving, for a day or two, more or less directly toward Earth? (See Figure 4-6 of Universe, 11th ed., and draw a diagram if it will help.) ​ At what position in its orbit will an inferior planet appear to be moving, for a day or two, more or less directly toward Earth? (See Figure 4-6 of Universe, 11th ed., and draw a diagram if it will help.) ​   ​ ​

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As a spacecraft such as Voyager 2 moves away from the Sun, the gravitational force on it F varies with distance R from the Sun in which mathematical way? ( means "proportional to.")

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Which of the following situations is not an acceptable orbital path for a body gravitationally bound to the Sun?

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Two objects of different mass when dropped by an astronaut on the Moon have:

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How many more orbits around the Sun in 1 synodic period of that planet does an inferior planet cover compared to Earth?

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The sidereal period of Mars is 1.9 years. Use the appropriate formula in Box 4-1 to find the time from the middle of one retrograde loop for Mars to the middle of the next retrograde loop (assuming circular orbits for Mars and Earth). This time is:

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Does the Sun or the Moon have a greater effect in causing the tides on Earth?

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In the path of Mars against the background stars shown in Figure 4-2 of Universe, 11th ed., the planet appears from Earth to move in a loop, moving westward for a period of time. What is the approximate angle between the Earth-Sun line and the Earth-Mars line when the planet is halfway through the westward, or retrograde, motion on about June 1? ​ In the path of Mars against the background stars shown in Figure 4-2 of Universe, 11th ed., the planet appears from Earth to move in a loop, moving westward for a period of time. What is the approximate angle between the Earth-Sun line and the Earth-Mars line when the planet is halfway through the westward, or retrograde, motion on about June 1? ​   ​ ​

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An imaginary planet is orbiting the Sun in a circle at precisely the same average orbital distance as Earth (i.e., 1 au). What is its sidereal period?

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Halley's Comet returns to the Sun's vicinity every 76 years in an elliptical orbit. What is the semimajor axis of this orbit?

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Two spacecrafts that have different masses but rocket engines of identical force are at rest in space. If they fire their rockets at the same time, which ship will speed up fastest?

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The gravitational pull of the Sun on the Moon is stronger than the gravitational pull of Earth on the Moon. Which of these is more important in raising tides on the Moon?

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The Ptolemaic model of the universe included each of the following features, except one. Which one is the exception?

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A small object is on a path that will take it near a planet. We know this object is in orbit around the planet if this path is a(an):

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In an ellipse, the semimajor axis is a distance measured:

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The sidereal periods of the following outer planets, from shortest to longest, are:

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Copernicus's model for planetary motion:

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The synodic periods of the following outer planets, from shortest to longest, are:

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The escape speed of an object from Earth depends on each of the following except one. Which does it not depend upon?

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