A satellite S is moving in an elliptical orbi | vedclass

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Question

(A) The gravitational force exerted by the Earth on the satellite always acts towards the centre of the Earth. According to Newton's second law,$F = m

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The acceleration of $S$ is always directed towards the centre of the Earth.

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(A) The gravitational force exerted by the Earth on the satellite always acts towards the centre of the Earth. According to Newton's second law,$F = ma$,the acceleration of the satellite is always directed towards the centre of the Earth.Since the gravitational force is a central force,the torque acting on the satellite about the centre of the Earth is zero. Therefore,the angular momentum $L$ of the satellite remains constant in both magnitude and direction.According to the law of conservation of energy,in the absence of non-conservative forces,the total mechanical energy of the satellite remains constant throughout its orbit.Since the distance $r$ of the satellite from the Earth varies in an elliptical orbit,the orbital velocity $v$ must change to conserve angular momentum $(L = mvr \sin 	heta)$. Consequently,the linear momentum $p = mv$ is not constant.

$A$ satellite $S$ is moving in an elliptical orbit around the Earth. The mass of the satellite is very small compared to the mass of the Earth.

Similar Questions

$A$ satellite of mass $m$ revolves around the earth of radius $R$ at a height $x$ from its surface. If $g$ is the acceleration due to gravity on the surface of the earth,the orbital speed of the satellite is

The orbit of a geo-stationary satellite is circular. The time period of the satellite depends on:
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Which of the following is correct?

The orbital angular momentum of a satellite is $L$,when it is revolving in a circular orbit at height $h$ from the earth's surface. If the distance of the satellite from the earth's centre is increased by eight times its initial value,then the new angular momentum will be $............\,L$.

Two heavenly bodies $S_1$ and $S_2$,not far from each other,are seen to revolve in orbits:

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