I don't think there were objectives the way we think of them in a modern sense, like the objective of the Afghanistan war was to get Osama and prevent Afghanistan from being a terrorist haven. I think it was more like the american wars against the Indian nations - humans were expanding into space, and had encountered an agressive inhabitant. It wasn't safe to move around in space, so we had to eliminate the Vasudans ability to threaten us. So the broad objective would have been "Make space safe for human travel, colonization etc.". This might have been achieved through a number of different means, the most logical being space-denial to the Vasudans - get into V Prime, scrap their orbital and planetary defence capabilitys and set up a military cordon to prevent them launching any dangerous vessels, effectively ending their ability to make war. If they had other facilities in other systems, you do the same to them.