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  • What is the direction of areal velocity of the earth around the sun?

What is the direction of areal velocity of the earth around the sun?

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Real velocity of the earth around the sun is given by \frac{dA}{dt}=\frac{L}{2m}

 Where L is angular momentum and m is mass of earth

Since \overrightarrow{L}=\overrightarrow{r}\times \overrightarrow{p}=\overrightarrow{r}\times m\overrightarrow{v}

\frac{dA}{dt}=\frac{\vec{r}\times m\vec{v}}{2m}=\frac{(\vec{r}\times\vec{v})}{2}

Thus, the direction of areal velocity is perpendicular to the plane of  \vec{r} and \vec{v} (Maxwell's right-hand rule)

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