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?

Similar Questions

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

$A$ planet moves around the sun. At a given point $P$,it is closest to the sun at a distance $d_1$ and has a speed $v_1$. At another point $Q$,when it is farthest from the sun at a distance $d_2$,its speed will be:

If a satellite orbiting the Earth is $9$ times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon $= 27 \text{ days}$ and gravitational attraction between the satellite and the moon is neglected.

The distances of Neptune and Saturn from the Sun are nearly $10^{13} \ m$ and $10^{12} \ m$ respectively. Assuming that they move in circular orbits,their periodic times will be in the ratio:

For proposing the universal law of gravitation,which laws were taken for help?

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