A satellite ofmass m revolves around the earth in a circular orbit of radius r. Find the angular momentum of the satellite with respect to the centre of the orbit.

A satellite ofmass m revolves around the earth in a circular orbit of

1.	A satellite ofmass m revolves around the earth in a circular orbit of radius r. Find the angular momentum of the satellite with respect to the centre of the orbit.
Answer» SOLUTION :Angular MOMENTUM of the satellite about the centre of the orbit is L = mvr, where , v isthe ORBITAL speed of the satellite . For motion in a fixed orbit, centripetal force = force of attraction due to gravity `or, (mv^2)/r =(GMm)/(r^2)` or, `mv^2r=GMm or, (mvr)^2=GMm^2r` or, `mvr =m SQRT(GMr)` `THEREFORE L=msqrt(GMr)`.