The TET is far enough away from Earth that the crew goes into suspended animation for the initial travel to it. This initial travel is either automated or controlled from Earth. After waking up, the crew speak conversationally with their mission controller Sally.
This conversation between Jack, Vika, and [actual human] Sally happens over a small 2d video communication system. The panel in the middle of the Odyssey’s control panel shows Sally and a small section of Mission Control, presumably back on Earth. Sally confirms with Jack that the readings Earth is getting from the Odyssey remotely are what is actually happening on site.
Soon after, mission control is able to respond immediately to Jack’s initial OMS burn and let him know that he is over-stressing the ship trying to escape the TET. Jack is then able to make adjustments (cut thrust) before the stress damages the Odyssey.
Communication between Odyssey and the Earth happens in real-time. When you look at the science of it all, this is more than a little surprising. Continue reading