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Supplementary #4

# Supplementary #4 - 1 –(v 2/c 2 =(ΔT 1 ΔT 2 ΔT = 17.2...

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Assignment: Supplementary #4 Class: Astronomy I Date: November 14 th , 2007 Supplementary #4 1. Proxima Centauri ΔT = ΔT 1 / √[1 – (v 2 /c 2 )] √[1 – (v 2 /c 2 )] = ΔT 1 / ΔT ΔT 1 = One week = 7 days = 604800 sec 1 – (v 2 /c 2 ) = (ΔT 1 / ΔT) 2 ΔT = 8.44 years = 266346144 sec v/c = √[1 – (ΔT 1 / ΔT) 2 ] v/c = √[1 – (0.00227) 2 ] v = .9999974219c 2. Sirius ΔT = ΔT 1 / √[1 – (v 2 /c 2 )] √[1 – (v 2 /c 2 )] = ΔT 1 / ΔT ΔT 1 = One week = 7 days = 604800 sec
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Unformatted text preview: 1 – (v 2 /c 2 ) = (ΔT 1 / ΔT) 2 ΔT = 17.2 years = 542790720 sec v/c = √[1 – (ΔT 1 / ΔT) 2 ] v/c = √[1 – (.00111) 2 ] v = .9999993792c 3. v Sirius / v Proxima Centauri = 1.00 As the velocity become closer and closer to the speed of light c, γ approaches the value of infinity. However, the spacecraft does not have to double its velocity to compensate for the dilation....
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