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Viewed from the northern and southern latitudes, geosynchronous satellites are too low in the sky for...

Viewed from the northern and southern latitudes, geosynchronous satellites are too low in the sky for reliable communications. Service to these regions can be provided by satellites in highly elliptical orbits that move very slowly high over the intended recipients, then drop down to make a rapid much lower pass around the other side of earth. Television satellites serving northern Russia, for example are in 12 hour orbits with altitudes ranging from 500km to 40,000km. If such a satellite passes its lowest point moving at 10 km/s, how fast will it be moving at the peak of its trajectory?

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