I absolutely love hard science fiction stuff like this, and the incredibly tactile attention to detail regarding how you operate the cockpit and control your ship was right on the money here. The vibes are perfect, the dialogue is great, and everything looks and sounds exactly like what I'd want from this sort of game.
But like other commenters, I did have a lot of trouble figuring out what to do and how to do it. I eventually managed to find the red access port and get the data, but I couldn't seem to figure out what else I was supposed to grab with the arm after that, or get it to really grab anything at all, after about 15 minutes of trying, so I eventually gave up. Really cool about the anchor activating and having to turn off the ship to avoid getting fried though.
Huge amounts of potential here if you can communicate to the player a little more effectively what's expected and/or fix bugs preventing it from happening. In any case, fine work!
P.S. For a full version, being able to reverse thrusters would be really nice.