Quote from TGregg:
One thing I always wondered about that. To the space traveller, it appears as if Earth is blasting away at the speed of light, while his destination flies forward also at the speed of light. Shouldn't that mean that the "observer" in this case sees the Earth spend 10 years in travel?
Another way to explain this question is the typical science thing we all got in school. One twin jumps on a rocket and flies around for a while at a significant percentage of light speed. Then he comes home to find his Earth-bond twin to be much older than he is. But from the Rocketship twin's point of view, the Earth was doing all the travelling, so shouldn't he expect to see his twin younger than him?