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If a satellite orbits just the right distance from the earth, so that its orbital period is exactly one day, the satellite can hover over
If a satellite orbits just the right distance from the earth, so that its orbital period is exactly one day, the satellite can hover over the same spot on earth indefinitely. That kind of orbit is called a "geosynchronous" orbit. In this problem, you'll use a simple scaling argument to work out what that radius of a geosynchronous orbit is. Part A V Based on Kepler's Law (Eq. 6.22 in Knight, Jones and Field), how does the orbital radius relate to the orbital period T? (Below, the notation a-bc means "a is a constant times b".) Orrut2/3 Ormut 3/2 Submit Previous Answers V Correct Part B In class, we estimated that an earth-skimming orbit, one whose radius was just that of the earth itself, would have a period of 1.4 hours. Based on that result, plus the scaling law that you got in Part A, how many times greater than the radius of the earth itself is the radius of a geosynchronous orbit? (Give the ratio of the geosynchronous orbit radius to the radius of the earth.) AEd
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