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2. Use Kepler's 3rd Law ('1'2 = % r3) to nd an equation for the height, h (in meters) above the earth's surface for the
2. Use Kepler's 3rd Law ('1'2 = % r3) to nd an equation for the height, h (in meters) above the earth's surface for the following orbits. Remember that you must write the r in Kepler's law as r = RE + h, where RE = radius of the earth. Show your work deriving the equation below. Now use this equation to nd the height above the earth's surface of the following orbits. (Note: earth's radius is 6400 km, earth's mass is 6.0x1024 kg, and G = 6.67x10'11Nm2/kg2. Don't forget to put T in the right units!) (a) a communication satellite with period T = 90 minutes (b) a weather satellite with period T = 24 hours (geosynchronous orbit) (c) a mysterious orb with period T = 28 days
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