A planet moves around the sun in an elliptica | vedclass

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(D) planet revolves around the sun in an elliptical orbit under the influence of the gravitational force exerted by the sun.Since the gravitational fo

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angular momentum

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(D) planet revolves around the sun in an elliptical orbit under the influence of the gravitational force exerted by the sun.Since the gravitational force $F$ always acts along the line joining the planet and the sun (the position vector $r$),the torque $	au$ acting on the planet about the sun is given by $	au = r 	imes F = rF \sin(180^{\circ}) = 0$.According to the relation between torque and angular momentum,$	au = \frac{dL}{dt}$.Since $	au = 0$,it follows that $\frac{dL}{dt} = 0$,which implies that the angular momentum $L$ is a constant with respect to time.Therefore,the angular momentum of the planet remains constant.

$A$ planet moves around the sun in an elliptical orbit with the sun at one of its foci. The physical quantity associated with the motion of the planet that remains constant with time is

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