A satellite of mass m moves along an elliptical path around the earth. The areal velocity of the satellite is proportional to

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m^-1

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m⁰

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m^1/2

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Solution

The correct option is C
m⁰

Area velocity $\frac{d A}{d t} = \frac{L}{2 m}$ = constant

Here, L = mvr sin $θ$ (angular momentum)

$∴$ $\frac{d A}{d t} = \frac{v r s i n θ}{2}$

i.e., $\frac{d A}{d t} \propto m^{\circ}$

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