Yesterday, I found the time to write a bit further on my SRT FAQ and wanted to give a quantitative analysis of the Bell space-ship paradox on the example of the two rockets accelerating with constant proper acceleration, and I found a problem, I cannot solve. So I took this section out from my FAQ for the time being. The problem occurs, when one looks at the situation from the point of view of the heading rocket C and if ##\alpha L_A>c^2##, where ##\alpha## is the constant proper acceleration and ##L_A## the constant distance of the space ships in A's reference frame, where the space ships start accelerating from rest simultaneously at time ##t=0##. Perhaps you can help me out here. The problem finally seems to be to find a proper, i.e., invariant definition of the distance of the spaceships. I still have to understand the physical meaning of bcrowell's analysis using the time-like congruence of space-like separated hyperbolic-motion hyperbola. This seems to be the only analysis in terms of a frame-independent quantity in the literature. I've put my analysis here, because for some reason I cannot upload it as an attachment here: http://fias.uni-frankfurt.de/~hees/tmp/bell-paradox.pdf [Broken] Note that the figure in bcrowell's Insights article is depicted in other form as the left-hand panel of the figure in the text. For this case (point of view of the rear space-ship B) no problem occurs. The problem occurs in the situation depicted in the right panel, but that's explained in detail in the text too.