no you haven't. Starbases, because they are unmovable, they have to use ECM and rotate to:
1) get an ECM bonus being harder to hit.
2) rotate to empty all it'a arsenal.
3)So it can recover any lost shields (if any).
Although you can try compensating it's ECM and movement, by moving with it, and using ECCM.
(When you encounter a starbase , in 99% cases it has the ECM turned to 4 or up)
You have an advantage that you can move, and by moving with it, you can hit it where it does the most damage.
EDIT: Bonk, you're right. and it's a simple thing to do as well. Just destroy it.
If you capture it though does it rotate backwards?