Consider Anna, Bob, and Carl in the twin paradox. (a) According to Anna, when Planet X passes her, clocks on Planet X and Earth tick simultaneously. Using the Lorentz transformation equations, calculate the time interval between these two events in the Earth-Planet X frame, (b) According to Carl, when Planet X passes, clocks on Planet X and Earth tick simultaneously. What is the time interval between these events in the Earth-Planet X frame? (c) What does the clock on Planet X read when Carl and Anna reach it? Show how your results from parts (a) and (b) agree with Figure 2.20.
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