So, I was thinking about a variation on the Twin Paradox, and was hoping someone could help me work through it. The motivation is the usual explanation for the Twin Paradox, namely that one twin accelerates and so breaks the symmetry. This begs the question of what happens when both twins ride in rockets, traveling in opposite directions, then stop, reverse course, and come back to meet up again. It seems to me that while they're moving at constant relative speed, each one "sees" the other one aging at a different rate than himself, so I'm assuming that the effects of reversing course end up canceling this out? Anyhow, my apologies if this has been discussed before, but I'd appreciate any insight.