Suppose you are an electron travelling near the speed of light. Another electron swings by and it's pull, or push sends you slightly past the speed of light. You jump back in time a itty bit reapearing somewhere you are not supposed to be. BECAUSE the earth has moved, the sun has moved, the galexy has moved at a total of 10 to the tenth MPH. To sum up, electrons behave exactly as they were predicted to move, in steady orbits, just temporally offset by other electrons.
Is this already established?