The motion of satellites in the solar system | vedclass

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(C) According to Kepler's second law,the areal velocity of a planet is constant,which is given by $\frac{dA}{dt} = \frac{L}{2m}$.Here,$L$ is the angul

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Conservation of angular momentum

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(C) According to Kepler's second law,the areal velocity of a planet is constant,which is given by $\frac{dA}{dt} = \frac{L}{2m}$.Here,$L$ is the angular momentum and $m$ is the mass of the planet.Since the gravitational force exerted by the Sun on the planet is a central force,the torque acting on the planet about the Sun is zero $(	au = 0)$.Because $	au = \frac{dL}{dt}$,if $	au = 0$,then $L$ must be constant.Therefore,the motion of satellites or planets in the solar system is an example of the conservation of angular momentum.

Column-$I$	Column-$II$
$(1)$ Kepler's first law	$(a)$ Law of periods
$(2)$ Kepler's second law	$(b)$ Law of orbits
$(3)$ Kepler's third law	$(c)$ Law of areas

The motion of satellites in the solar system is an example of which of the following?

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Match Column-$I$ with Column-$II$.

Column-$I$ Column-$II$

$(1)$ Kepler's first law $(a)$ Law of periods

$(2)$ Kepler's second law $(b)$ Law of orbits

$(3)$ Kepler's third law $(c)$ Law of areas

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