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 earth
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 earth
The acceleration of $S$ is always directed towards the centre of the earth
The angular momentum of $S$ about the centre of the earth changes in direction but its magnitude remains constant
The total mechanical energy of $S$ varies periodically with time
The linear momentum of $S$ remains constant in magnitude
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 earth
As gravitational force on satellite due to earth acts always towards the centre of earth, thus acceleration of $\mathrm{S}$ is always directed towards the centre of the earth. Also, as there is no external force so according to conservation of energy, total mechanical energy of S is constant always.
Also, as in the absence of external torque $L$ is constant in magnitude and direction.
Thus, $m r v=$ constant $\Longrightarrow v$ varies as $r$ changes
Hence, $p=m v$ is not constant
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