Thought this might help you out a little.....It's a little bit easier to read:

The Twins

Perhaps the most famous of the paradoxes of special relativity, which was still being hotly debated in national journals in the fifties, is the twin paradox. The scenario is as follows. One of two identical twins is an astronaut. He sets off in a relativistic spaceship to alpha-centauri, four light-years away, at a speed close to that of light. When he gets there, he immediately turns around and comes back. As seen by his brother on earth, the astronauts clocks ran very slowly, so although the trip took over eight years by earth time, the astronaut has only aged by, say, one year. So as he steps down out of the spaceship, he is seven years younger than his twin brother. But wait a minute-how does this look from the astronaut's point of view? He sees the earth to be moving close to the speed of light, first away from him then towards him. So he must see the clock of his brother on earth to be running slowly. So doesn't he expect his brother on earth to be the younger one after this trip?

The key to this paradox is that this situation is not as symmetrical as it looks. The two brothers have quite different experiences. The one on the spaceship is not in an inertial frame during the initial acceleration and the turnaround and braking periods. (To get an idea of the speeds involved, to get close to the speed of light at the acceleration of a falling stone would take about a year.) Suppose the two kept in touch with each other by flashing a light once a month, using their own calendars, so the other could keep tabs on his brother's age by counting flashes. After the initial acceleration, the two are parting at a constant rate, and each will see the other's flashes at some steady rate which will be less frequent than monthly, because the other guy's clock appears to be running slowly, and also the distance between them is increasing, so each succeeding flash has further to travel. When the astronaut turns around, however, halfway through his trip, he will be traveling towards the light flashes, each succeeding one has less far to travel, so he will see the flashes coming in at a faster rate, in other words, he will see his brother on earth to be aging rapidly. From the earthbound brother's point of view, after he sees the astronaut to turn around, he sees the astronaut to age at the rapid rate. But since the astronaut is traveling close to the speed of light, he arrives back on earth very shortly after his brother on earth sees him turn around! Thus for the brother on earth, watching the signals coming in from the spaceship, he sees them coming in at the slower rate for almost the entire trip, whereas the astronaut looking at the signals from earth sees them to come in at the slow rate for the first half of the trip, until he turns around, and after that, they come in at the fast rate-so the brother on earth ages more.