Question

the rotation period of an earth satellite close to the surface of earth is 83 minutes.t he time period another satellite in an orbit at a distance of 3 earth radii from its surface will be?

Answer 1

For first satellite \[{{r}_{1}}=R\] and \[{{T}_{1}}=83\ minute\] For second satellite \[{{r}_{2}}=4R\]             \[{{T}_{2}}={{T}_{1}}{{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{3/2}}={{T}_{1}}{{(4)}^{3/2}}=8{{T}_{1}}=8\times 83\]=664 minutes

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