In planetary motion,the areal velocity of the position vector of a planet depends on the angular velocity $\omega$ and the distance of the planet from the sun $r$. The correct relation for areal velocity is:

• A
  $\frac{d A}{d t} \propto \omega r$
• B
  $\frac{d A}{d t} \propto \omega^2 r$
• C
  $\frac{d A}{d t} \propto \omega r^2$
• D
  $\frac{d A}{d t} \propto \sqrt{\omega r}$