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Satellites

Two artificia...

Question

Two artificial satellites, one close to the surface and the other away, are revolving around the earth. Which one has larger speed?

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Solution

Centripetal force $=$ centrifugal force
$\frac{G M m}{R^{2}} = \frac{m v^{2}}{R} v \propto \frac{1}{\sqrt{R}}$
i.e., Satellite closer to the earth will have more speed.

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