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What is the minimum number of retransmission satellites that you would need to assist your LEO space station program - to provide a full time coverage to ensure a total communication with the space station, thus avoiding the use of ground-based antennas to communicate directly with the spacecraft? I guess that 2 GEO satellites, on oposite sides of Earth, would be enough. Any ideas? (green square - launch site; black dot - space station)green- launch site. the two satellites are on each side

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The configuration you've drawn is almost enough. Both satellites must be able to reach the ground station, so you need to move the ground station (or the satellites) a bit.

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