Aurora explosion is basically the beginning of the first part of the game You're on your way to a good start. Keep exploring, make equipment as you need it to explore different areas. The Aurora is a good start, but take a few moments to look through the list of different things that can be made at the fabricator and see if there's anything you think you'd like to have or might need before you wander too far.
If you get bored with mission grinding you can always start setting up a base somewhere that's convenient. They tend to start pretty small in the beginning but as you get more mobile your bases will grow and become more spectacular.