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(C) According to Kepler's second law of planetary motion,the areal velocity of a planet or satellite moving in a central force field is constant.Mathe

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$m^0$

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(C) According to Kepler's second law of planetary motion,the areal velocity of a planet or satellite moving in a central force field is constant.Mathematically,the areal velocity is given by $\frac{dA}{dt} = \frac{L}{2m}$,where $L$ is the angular momentum and $m$ is the mass of the satellite.Since $L = mvr \sin 	heta$,we substitute this into the expression:$\frac{dA}{dt} = \frac{mvr \sin 	heta}{2m} = \frac{vr \sin 	heta}{2}$.As seen in the final expression,the mass $m$ cancels out.Therefore,the areal velocity is independent of the mass of the satellite,meaning it is proportional to $m^0$.

An artificial satellite of mass $m$ is moving along an elliptical path around the earth. The areal velocity of the satellite is proportional to

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