Methods and systems for low earth orbit satellite communications, utilizing fractionated satellites and constellations with large baselines. The latter, combined with spatial multiplexing protocols, provides access to user equipment on the ground with much greater spatial resolution than hitherto possible. Methods include overcoming the problem posed by the round-trip delay of satellite links when adaptive, downlink, beamforming is attempted in Frequency Division Duplex (FDD) systems. Methods include using of uplink and downlink pilot signals which eliminate the need for controlling the physical integrity of the fractionated satellite through an electromechanical servo-control system in space.