I just noticed that in 1.1 the area of effect of starbases has been reduced? In at least 1.0X, any tile even partially covered by the zone circle was considered to be inside the influence zone. In 1.1 only the fully covered tiles are affected, not the ones at the border, with the exception of the ones at the center of the border in each direction (which is almost, but not 100%, covered by the circle).
If this is a bug, it should be fixed. If this is intentional, it should have been listed in the list of changes for 1.1.
I just found out, after attacking an enemy fleet from a square which was partially covered, and in the previous version would be under the influence. Needless to say, the battle did not go very well. In addition, one of my planets turns out to be outside the range of the economy base which was positioned to exactly cover two adjacent star systems.