Say I became a particle and I'm moving at 0.9c towards a spaceship. My course is parallel to the ship, and I'm seeing it bow first. So the entire ship is initially in front of me, seems quite short and is highly blue-shifted, right? So any crew would seem to be quite blue and is moving around really fast. Also say I can see one clock at the bow, another at the stern, and both show the same time. Then as I move past its bow, the bow of the starship moves to my back and becomes red-shifted, so any crew member in the bow now became redder and is much slower; yet, the stern is still blue-shifted, and the crew members there are still moving around like crazy. Eventually I move past the whole ship and everything is now red-shifted and everybody is moving about much slower. So is that right? That's how I should see it? If so, here's the part I'm stuck: the whole spaceship is in one reference frame (that's moving past me at speed), so the time-dilatation effects should be the same for the whole ship... how come the ship shows at one point in time two different time-dilatation effects - one for the red-shifted bow, and another for the blue-shifted stern? Also, because I saw the clock at the stern blue-shifted more time than the one in the bow, it should show a time slightly ahead as the one in the bow... but that doesn't seem correct at all, as initially both clocks seemed to have the same time, now that I'm past they seem to have different times... Any help, please?