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A satellite of mass 'm', revolving round the earth of radius 'r' has kinetic energy (E). Its angular momentum is
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$\left(2 \mathrm{~m} \mathrm{Er}^{2}\right)^{\frac{1}{2}}$
$\begin{aligned} \mathrm{E}=\frac{1}{2} \mathrm{mV}^{2} \quad \therefore \mathrm{V} &=\sqrt{\frac{2 \mathrm{E}}{\mathrm{m}}} \\ \text { Angular momentum } \quad \mathrm{L} &=\mathrm{mvr} \quad=\mathrm{m} \cdot \sqrt{\frac{2 \mathrm{E}}{\mathrm{m}} \cdot \mathrm{r}} \\ &=\sqrt{2 \mathrm{mEr}^{2}}=\left(2 \mathrm{mEr}^{2}\right)^{\frac{1}{2}} \end{aligned}$
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