The present invention relates to a mobile satellite communication system that supports standard 2G, 3G, 4G and 5G mobile user equipment directly. The system comprising standard mobile user equipment, a low earth orbit satellite constellation, a satellite gateway connected to a terrestrial mobile network operator's operational support systems, a satellite beam steering controller configured to share mobile spectrum connected to an antenna array and digital beamformer that duplicates the mobile network's cell identification, frequencies, synchronization signals and control channels to satellite beams to form “Virtual Cells” further subdivided into “Doppler Cells” that are pre-compensated for the high range Doppler shift thereby reducing the residual Doppler shift received by the standard mobile user equipment to a range it can correct normally.