Methods, apparatuses, and systems for two-way satellite communication and an asymmetric-aperture antenna for two-way satellite communication are disclosed. In one embodiment, a beam pattern for an asymmetric-aperture antenna is offset in a narrow beamwidth direction, and the offset beam pattern is directed by a mechanical gimbal, with the beam pattern offset made to reduce interference with an adjacent satellite. In additional embodiments, operational areas near the equator are identified for a given offset beam pattern, or a beam pattern offset may be adjusted over time to compensate for movement of the asymmetric-aperture antenna when attached to an airplane, boat, or other mobile vehicle.