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This is a fairly simple question, and the heading is pretty self explanatory, but I have a feeling there are a lot of implications to it that I haven't thought of. To be more specific, would it be possible to have warships in space that did NOT use the traditional lasers/missiles/projectiles usually depicted in space combat, but instead rammed each other, in the classic greco-roman trireme style? If so, how, and what would be needed to pull this off from a technological/structural standpoint? If not, why?
Once again, I'm essentially envisioning spaceships with the ability to ram each other (instead of shooting each other), thus destroying enemy ships, either by loss of air, severe structural damage, or both.