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The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is $\vec{L}$. The magnitude of the areal velocity of the planet is:
(1) $\frac{4L}{M}$
(2) $\frac{L}{M}$
(3) $\frac{2L}{M}$
(4) $\frac{L}{2M}$
Areal velocity $\frac{dA}{dt} = \frac{1}{2}r \times v\sin\theta = \frac{L}{2M}$.
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