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    Model notes. Beams are cosine-power patterns matched to the -3 dB beamwidths, with a floor for sidelobes and back radiation. Antennas are switched, one best antenna per direction, with no combining. Polarisation loss is a flat table (0.5 dB circular match, 3 dB circular to linear or linear to linear, 20 dB opposite circular). Rain adds sky noise as well as loss. The two-QHA satellite option includes 3 dB of splitter loss. Nothing models terrain, mounting structure, ground reflections or antenna coupling. Each ground antenna has its own Pluto, PA, diplexer and LNA. Noise is referred to the antenna terminal: antenna temperature (sky and ground weighted by the pattern), feed loss, diplexer, LNA and Pluto noise figure. The satellite is either nadir-pointed or tumbling, and a tumbling satellite is planned at a percentile of random orientations.

    Coding gains and required Eb/N0 are for a bit error rate of 1e-5. Atmospheric loss scales the zenith value by air mass.