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NO.

The gravity of Earth, in conjunction with the inertia of the satellite, keeps the satellite revolving around Earth.

However, the satellite doesn't get any nearer to the Earth. So, according to the laws of physics, no work is done.

(I'm ignoring the fact that satellites sometimes lose height and need to be "boosted" a bit to maintain their orbits.

Also, I'm assuming that the satellite's orbit is circular. If the orbit is elliptical the answer is more or less the same, but a bit more complicated.)

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Q: Does earth's gravity do any work on satellite revolving around it?
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