RandomCommander
The AI start to activate her steering thrusters, a bit towards the second closest planet to her star.... She cannot land on it because she goes too fast, and she has no fuel enough to dodge the star on her own....
AI: "I guess this is goodbye. I am curious where I shall go..."
Eventually she comes close to the planet, and the gravitational pull of the planet changes her direction just enough to dodge the star, and she was slingshotted out of her star system. It was very very close, if she was 1 meter to the right, she would have failed.
She stopped any power consumption that wouldnt be nessesairy to survive, and began collecting as much as possible if she ever had a chance to orbit a planet... But that chance is almost non excisting and she would probobly float in space and be hit by astroid fields...