An antenna system includes a reflector, an offset feed horn and a support platform. The reflector has a reflector surface. The reflector and offset feed horn are attached to the support platform. The offset feed horn transmits RF microwave energy toward the reflector surface. The antenna system further includes a turntable which has a single rotation axis. The turntable rotates about the antenna rotation axis. The support platform is attached to the turntable such that the turntable rotates the support platform. The reflector surface has a perturbed paraboloid geometrical shape that reflects most RF microwave energy along a beam peak pointing direction. The reflector surface reflects RF microwave energy towards the earth's surface in such a manner that the reflected RF microwave energy illuminates a narrow strip of the earth's surface from nadir to a point near the earth's horizon with substantially constant intensity. The offset feed horn is oriented and positioned such that it points away from the beam peak pointing direction.
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