You are right, of course. I didn't consider the fact that in the rockets reference frame distance in the direction of the surface has to expand by a factor of 1.33 if time slows by a factor of 0.6 so that both observers see the other's reference frame receeding at 0.8 c. Thanks for...
A thought experiment:
Reference frame: A surface in space with no atmosphere.
A rocket ship is approaching just above the level of the surface. Its measured velocity is a constant 0.8c (0.8 times the speed of light) relative to the surface. Special relativity predicts that time in the...