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Lecture04 - 1 Recap Mapping Spacetime When Is Now Summary 2...

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2 Recap Mapping Spacetime When Is Now? Summary
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3 Moving clocks run more slowly Moving lengths contract longitudinally Spacetime is the set of all events Space is any 3-D hyper-surface on which events are simultaneous, for some observer Time is the direction perpendicular to space
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4 A t A t C C Earth ’s worldline Starship s worldline v = speed B t D D O t D = κ t A t B
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5 A B C t A t D D O t C t B
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6 Relativistic Doppler Factor Dilation Factor Extra credit (1): Derive the relativistic Doppler factor, from the diagram – due 0 9/09/09
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7 Earth ’s worldline Starship’ s worldline D O A t A t A + Δ t A Δ t A , Δ t D are the times between wave crests as measured on Earth and on the starship Note: Earth Time Earth Space
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8 A starship emits light of 500 nm , which is received on Earth at a wavelength of 600 nm 1. What is the relative speed between the Earth and the starship?
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