A dev update from the official forums about server is busy message:

Star Trek Online Forums - View Single Post - "The server is busy at the moment..."

Hi everyone!

This is really amazing! We have hit the limit of how many players we can fit on the server right now!

This is one of those times where we're both sad, and glad. On the one side, you all enjoy the game so much, we can't squeeze anyone else on to the server. (I can't log in right now either! )

On the other side, we really want to let you all on the server! So, here's what we're working on:

1) We're increasing server capacity. We have new machines coming in to add to the server, and we've put a rush order on them. We're going to bring them online as soon as we can.

2) We're working on software solutions as well. Our development team is working night and day to be able to get as much power as we can from each machine, and we're focusing on increasing capacity, and server stability.

For now, all we can say is, please keep trying. We know it's frustrating. Please keep trying though. You never know when you might be able to get in!

Thank you for your patience, thank you for your support, and thank you for your interest in Star Trek Online!