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T=0 microseconds

d = R-x. d = R-x. R (radius). R (radius). R (radius). y. x. d (=0). y. d = R-x. R (radius). x. x. y. x. T=0 microseconds. T=390 microseconds. T=330 microseconds. T=360 microseconds. What we have:. R = 2439.7 km t = 390 / 2 microseconds c = 300,000 km/sec. R (radius).

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T=0 microseconds

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  1. d = R-x d = R-x R (radius) R (radius) R (radius) y x d (=0) y d = R-x R (radius) x x y x T=0 microseconds T=390 microseconds T=330 microseconds T=360 microseconds

  2. What we have: R = 2439.7 km t = 390 / 2 microseconds c = 300,000 km/sec R (radius) D = 58.5 km X = 2381.2 km y Y = 531.1 km What we need: x d = R-x X = 2439.7 – 58.5 X Y Y = 2439.72 – 2381.22 D D = 390x10-6 / 2 sec x 3x105 km/sec D is half the extra distance light traveled (there, and back) in 390 μs X = R - D XYR is a right triangle, so use the Pythagorean Theorem (R2 = X2 + Y2) Y2 = R2 - X2 T=390 microseconds

  3. The Doppler Effect

  4. The Döppler Effect Watch how the circles seem squished in the direction of motion

  5. Bluer Redder The Döppler Effect For unrealistically fast-moving stars The same happens with light; shorter wavelengths are bluer. This can be measured extremely precisely

  6. Pushed forward by +V Delayed from the side moving away Everything inbetween Accelerated by the side moving towards us Find the rotational velocity from this - Frequency + Pushed forward less than normal (by –V)

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