[aspanu]

I believe that what you are missing is the distance between the satellite and the plane. planes are at ~10,000 m altitude, GPS flies at 20,000,000 m altitude. A very small angle of distortion creates a very large distance at the plane.

[zizzer]

Just a note - It's not GPS satellites taking the pictures. It seems to be the RapidEye [1] satellites, which are much closer to earth at 630km.

[1] http://en.wikipedia.org/wiki/RapidEye