All of satellite communications is the fact that the transmitter is line of sight of the reciver, and only go through 5 miles of atmospher with water vapor. Most sats except the mapping experiments tend not to emmitt more than handheld radio (5W) and are circularly polarized so that bandwidth can be doubled by using two feedhorns.
The advantage of circular polarization for satellite communications is that it is insensitive to antenna orientation. EM energy is a transverse wave, the oscillating field is perpendicular to the direction of travel. Antennas are sensitive to one particular orientation. For fixed station terrestrial stations one can orient the antenna so that the electric field oscillates in the vertical or horizontal plane. That is not so easy for satellites. Circular polarization is just two copies of the same waveform, one delayed by one fourth of a wavelength, and radiated or received through two linearly oriented elements at the same feed point. The electric field at any point in space rotates around the direction of travel at the same frequency as radiation.
Circular polarization does not offer any advantage in terms of bandwidth or power. It is obviously more expensive and complicated so terrestrial stations tend to avoid it.