An artificial satellite of mass $m$ is moving along an elliptical path around the earth. The areal velocity…
An artificial satellite of mass $m$ is moving along an elliptical path around the earth. The areal velocity of the satellite is proportional to
m
$m^{-1}$
$m^0$
$\mathrm{m}^{1 / 2}$
Solution
Areal velocity, $\frac{d A}{d t}=$ constant
$
\frac{d A}{d t}=\frac{L}{2 m}
$
(where, $L$ is angular momentum)
$
=\frac{m v r \sin \theta}{2 m}=\frac{v r \sin \theta}{2}
$
This shows areal velocity does not depends on mass.
So,
$
\frac{d A}{d t} \propto m^0
$