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A satellite moves eastwards very near th...

A satellite moves eastwards very near the surface of the Earth in equitorial plane with speed `(v_(0))`. Another satellite moves at the same height with the same speed in the equatorial plane but westwards. If `R` =radius of the Earth and `omega` be its angular speed of the Earth about its own axis. Then find the approximate difference in the two time period as observed on the earth.

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`T_("west")=(2piR)/(v_(0)+Romega)` and `T_("east")=(2piR)/(v_(0)-Romega)impliesDeltaT=T_("east")-T_("west")=2piR[(2Romega)/(v_(0)^(2)-R^(2)omega^(2))]=(4piomegaR^(2))/(v_(0)^(2)-R^(2)omega^(2))`
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