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Unformatted text preview: time T 1 = Τ + τ = (1+-29 29 = 1-/ But the Professor knows that their clock has slowed down, so he calculates that it arrives at their time T , where T = 1-ω 2 / χ 2 Τ 1 = 1-2 / 2 1-/ = 1+ / 1-/ so T = 1-/ 1+ / Alternatively, one could view this as a relativistic (receding) Doppler shift problem: Suppose Professor emits signal periodically with time T His frequency would be f = 1/T If spaceship receives signal with period T (their time), frequency received by spaceship would be ′ f = 1 T = f 1-v / c 1+ v / c = 1 T 1-v / c 1+ v / c so T = T 1-v / c 1+ v / c...
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This note was uploaded on 12/07/2009 for the course PHYS phys 2d taught by Professor Hirsch during the Spring '08 term at UCSD.
- Spring '08