Consider a reference system placed at the U.S. NavalObservatory in Washington, D.C. Two

Chapter 2, Problem 38

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Consider a reference system placed at the U.S. NavalObservatory in Washington, D.C. Two planes take offfrom Washington Dulles Airport, one going eastwardand one going westward, both carrying a cesiumatomic clock. The distance around the Earth at 39latitude (Washington, D.C.) is 31,000 km, and Washingtonrotates about the Earths axis at a speed of360 m/s. Calculate the predicted differences betweenthe clock left at the observatory and the two clocks inthe airplanes (each traveling at 300 m/s) when theairplanes return to Washington. Include the rotationof the Earth but no general relativistic effects. Comparewith the predictions given in the text.

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