458 RelativityP39.73(a)LL Lxy020202=+andLLL222.The motion is in the xdirection:yy==00 0sinθLLvcLvcxx=−FHGIKJFHGIKJ0200211cosbg.Thus,vcvc20220202220FHGIKJLNMMOQPP+=−FHGIKJLNMMOQPPcossincosθθorvcFHGIKJLNMMOQPP0220121cos.(b)tantanθγ−=LLLLvcyxyx00201P39.74(b)Consider a hermit who lives on an asteroid halfway between the Sun and Tau Ceti,stationary with respect to both. Just as our spaceship is passing him, he also sees the blastwaves from both explosions. Judging both stars to be stationary, this observer concludes thatthe two stars blew up simultaneously .(a)We in the spaceship moving past the hermit do not calculate the explosions to besimultaneous. We measure the distance we have traveled from the Sun asvcpFHGIKJ=16 0010 8003 6022...lylybgaf.We see the Sun flying away from us at 0.800cwhile the light from the Sun approaches at
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