The trailing clock (caboose) reads a time ahead of the leading clock (engine) by gamma L beta/c For Melissa Andromeda is the trailing clock, while it is today in the engine (Earth) it is "the future" in Andromeda...the vote has alreday occured For Mike, Andromeda is the leading clock. The caboose clock (Earth) reads "today", so the Andromeda clock must read earlier. L=2.5e6 LY beta=1 m/s/c gamma is very close to 1 * ? 2.5e6*Ly/c^2 !using beta=1m/s/c 263156.4700670355 !seconds * ? res/(24*3600) 3.045792477627726 !days If we try to exactly use the Lortentz transformation, we assign the clap to time/location=0 in both frames. We define positive x to be in the direction of Andromeda, so x=2.5e6 Ly for both. For Mike the train is moving in the postive x direction at velocity 1 m/s t'=(- beta gamma x/c + gamma*0) For Melissa the train is moving in the negative x direction at velocity 1 m/s, and the sign is reversed.