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According to Kepler's Third Law, the period T (in days) of a satellite moving in a circular orbit x mi above the surface of the

According to Kepler's Third Law, the periodT(in days) of a satellite moving in a circular orbitxmi above the surface of the earth is given by

T= 0.0588

1 +

x
3959
3/2

.

Suppose that a communications satellite is moving in a circular orbit29,000mi above the earth's surface. Because of friction, the satellite drops down to a new orbit28,500mi above the earth's surface. Estimate the decrease in the period of the satellite to the nearest one-hundredth hour.

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