This dilemma highlights a limitation of the Special Theory of Relativity that we have already alluded to. It only applies to observers in uniform motion, and not to accelerated frames. In order for astronauts to go to a distance star, and return to compare clocks with Earthbound observers, the astronauts' spaceship must accelerate to near light speeds, decelerate once the reach the star, and the repeat the process in the other direction. While they are accelerating, the rules of Special Relativity don't apply, and the symmetry between the astronauts and the Earthbound observers breaks down. (This applies to the atomic clocks in orbit as well.) A detailed examination of the problem therefore requires us to go beyond Special Relativity (to General Relativity), with the result that time actually slows down in accelerated frames of reference. However, it turns out that the calculation we did in the previous sub-section is approximately correct. We get nearly the right answer for the difference in aging of the astronauts by ignoring the acceleration and just taking into account time dilation on the forward and return journeys. Thus, there is no ``paradox'' associated with this effect. As with most paradoxes, it merely points to a limitation of the theory under consideration.