Kepler's second law regarding the constancy o | vedclass

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(B) Kepler's second law states that the areal velocity $(dA/dt)$ of a planet revolving around the Sun is constant.Since the gravitational force exerte

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Angular momentum

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(B) Kepler's second law states that the areal velocity $(dA/dt)$ of a planet revolving around the Sun is constant.Since the gravitational force exerted by the Sun on the planet is a central force,the torque $(	au)$ acting on the planet about the Sun is zero.According to the relation $	au = dL/dt$,if $	au = 0$,then the angular momentum $(L)$ of the planet remains constant.The areal velocity is given by the expression $\frac{dA}{dt} = \frac{L}{2m}$,where $m$ is the mass of the planet.Since $L$ and $m$ are constants,the areal velocity is constant.Therefore,Kepler's second law is a direct consequence of the law of conservation of angular momentum.

Kepler's second law regarding the constancy of areal velocity of a planet is a consequence of the law of conservation of

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