Suppose I'm at my spacecraft orbiting Alpha Centauri. Then I speed up to v/c = 0.999 towards Earth. In my new coordinate system the distance between A.C. and Earth is shrunk by the usual Lorentz transformation formula, and the time it takes (in my coordinate system) to travel is this new distance (4ly/22 or whatever) divided by 0.999c. However, my mate observing at Earth sees my spacecraft just sit there for a while until one day it apparently accelerates to 22c. My mate measures the time the spacecraft apparently takes to travel from A.C. to Earth, and gets the same answer as I do (4ly/(22*0.999c)). Am I correct?