Find the angular momentum of a satellite of mass m moving round the earth of mass m if its orbital radius is r, assuming it to be circular. Express it in terms of G, M, m and r, where G is the universal gravitational constant ?

Explanation

To find the angular momentum \( L \) of a satellite of mass \( m \) moving around the Earth of mass \( M \) at an orbital radius \( r \), we can follow these steps:

### Step 1: Understand the formula for angular momentum
The angular momentum \( L \) of an object moving in a circular path is given by the formula:
\[ L = mvr \]
where \( m \) is the mass of the satellite, \( v \) is the linear velocity of the satellite, and \( r \) is the radius of the circular orbit.
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