I was watching the TV series about the Universe and in the program they were covering the idea of relativity. More specifically they were talking about traveling at near the speed of light as a "forward time machine." The ratio mentioned was roughly 1:71.428 when comparing traveling at 99.9% the speed of light and someone on earth. So 1 unit of time experienced on this ship traveling 99.9% the speed of light is 71.428 units of time on earth. I understand this concept.
Here is my question, what would happen when you attempt to communicate between the object moving 99.9% the speed of light and the earth? Modern communications can essentially operate at the speed of light or very near to it.
See the following diagram (not to scale):
The red dot is our spaceship orbiting the earth, at a distance, traveling 99.9% the speed of light. The green dot is earth. Around earth orbits outward facing satellites beaming communication (video/text/images/etc) outward in all directions simultaneously at light speed. The blue line is just an illustration to represent two way communications (from earth to spaceship / from spaceship to earth) which would travel at the speed of light.
How would this information arrive and be perceived?
Given the relative experience of time 1 day in the spaceship would cover 71.428 earth days. Would the spaceship get overloaded with information like watching a movie in fast forward? Would earth get a slowed down collection of information? I also understand the distance between earth and the spaceship (and thus the speed of communication) will play a role. Blow my mind, I'm ready.