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Problem 5. A satellite is orbiting the Earth an at altitude of h = 10,000 miles. The ground terminal (GT) can communicate with the satellite as long as the received power within 3 dB of the peak of the received power. The GT has an isotropic antenna while the satellite uses a dish antenna pointed vertically down with A/d = 0.1 rad. Assume the propagation loss, Lp, stays constant while the satellite passes over the GT. a. Show that the satellite is moving at 9400 miles per hour. b. How long will one orbit take (in hours). c. How long will the GT be able to communicate with the satellite? You may assume linear motion and neglect the curvature and rotation of the Earth.. d. How many satellites would be needed so that the GT can always com- municate with one of them? In this part you can assume all the condi- tions stated above including those in [a], [b] and [c].
Transcribed Image Text:Problem 5. A satellite is orbiting the Earth an at altitude of h = 10,000 miles. The ground terminal (GT) can communicate with the satellite as long as the received power within 3 dB of the peak of the received power. The GT has an isotropic antenna while the satellite uses a dish antenna pointed vertically down with A/d = 0.1 rad. Assume the propagation loss, Lp, stays constant while the satellite passes over the GT. a. Show that the satellite is moving at 9400 miles per hour. b. How long will one orbit take (in hours). c. How long will the GT be able to communicate with the satellite? You may assume linear motion and neglect the curvature and rotation of the Earth.. d. How many satellites would be needed so that the GT can always com- municate with one of them? In this part you can assume all the condi- tions stated above including those in [a], [b] and [c].
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