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CHAPTER






                     Gravitation                                                                       9














































                              CONCEPTS IN CONTEXT
                   Concepts
                      in
                   Context    Hundreds of artificial satellites have been placed in orbit around the Earth,
                              such as this Syncom communications satellite shown just after launch  9.1  Newton’s Law of Universal
                              from the Space Shuttle.                                              Gravitation
                                 With the concepts we will develop in this chapter, we can answer  9.2  The Measurement of G
                              various questions about artificial satellites:
                                                                                               9.3  Circular Orbits
                              ? Communications satellites and weather satellites are placed in high-  9.4  Elliptical Orbits; Kepler’s Laws
                                 altitude “geosynchronous” orbits that permit them to keep in step
                                                                                               9.5  Energy in Orbital Motion
                                 with the rotation of the Earth, so the satellite always remains at a
                                 fixed point above the equator. What is the radius of such a geosyn-
                                 chronous orbit? (Example 6, page 279; and Physics in Practice:
                                 Communications Satellites and Weather Satellites, page 281)

                              ? Surveillance satellites and spacecraft such as the Space Shuttle usually
                                 operate in low-altitude orbits, just above the Earth’s atmosphere. How
                                 quickly does such a satellite circle the Earth? (Example 7, page 280)
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