If L is the angular momentum of a satellite r | vedclass

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(C) The angular momentum $L$ of a satellite of mass $m$ revolving in a circular orbit of radius $r$ with speed $v$ is given by $L = mvr$.The orbital s

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$L \propto \sqrt{r}$

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(C) The angular momentum $L$ of a satellite of mass $m$ revolving in a circular orbit of radius $r$ with speed $v$ is given by $L = mvr$.The orbital speed $v$ of a satellite is given by $v = \sqrt{\frac{GM}{r}}$,where $G$ is the gravitational constant and $M$ is the mass of the Earth.Substituting the expression for $v$ into the angular momentum formula:$L = m \left( \sqrt{\frac{GM}{r}} \right) r$$L = m \sqrt{GM} \cdot \frac{r}{\sqrt{r}}$$L = m \sqrt{GM} \cdot \sqrt{r}$Since $m$,$G$,and $M$ are constants,we have $L \propto \sqrt{r}$.

If $L$ is the angular momentum of a satellite revolving around the Earth in a circular orbit of radius $r$ with speed $v$,then .........

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