Phased array flat panel antennas cannot be purely software steered sufficiently to track a low earth orbit satellite from horizon to horizon. It's not good enough to just put a flat panel phased array facing straight up, you won't have enough gain aimed in the direction where the satellite actually is at any given moment. Assuming a CPE device that measures 1.5'x1.5' to 2'x2' in size, it will still need a motorized azimuth and elevation stepper motor system (or equivalent) to track a LEO satellite.
If you're trying to do multi-Mbps data to/from a satellite in bands >10GHz (and probably >18GHz), the path loss through the atmosphere and RF parameters mean that you want as much gain as possible... This is why the most economical solutions for high capacity two way satellite through geostationary transponder capacity involve 1.8 to 3.0 meter size dish antennas. Gain is important. Gain and enough signal over noise ratio that you can do higher order QAMs and not spend half your bitrate on FEC.
You could, I suppose, if the antenna system was cheap enough and large enough build a non moving, cone or pyramid shaped antenna covered in phase array segments that could maintain a high bandwidth connection in the >10GHz bands to a moving LEO satellite. But it would be pretty large.
edit: for those who are curious and want to see an example of a parabolic (steered) use for moving satellite comms:
https://www.google.com/search?q=melco+antenna+mitsubishi&ie=...
http://proceedings.kaconf.org/papers/2015/bsw_4.pdf
there is also an israeli company which is a competitor to mitsubishi in this space. and a few others.
if you watch the weekly FCC filings for new satellite equipment licenses, there's a lot of MELCO antennas flying around on top of mid and large sized jet aircraft.