I was having the same problem, and after trying several things, I finally decided to just leave the screen running and went away for a while. Of course I was logged out for inactivity, but when I logged in and resumed my character, I found that I was able to continue with no further problems. I don't know if what I did was the reason it works now, but Its worth a try for others experiencing this problem.
Was having this problem in beta, still have it in retail. If you're hung up even after a reboot click the Options menu at the top of the launcher, select Safe Mode then enter STO. It should take you into Sol in about 10-15 seconds. (always has for me). Once in Sol open Options then reset your video they way you normally play.
If you're like me you be fine till the next time you try to enter Sol.