Question

A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is $R _ { 0 }$ and mass of the earth M, the angular momentum about the centre of the earth is

• A. $m \sqrt { G M R _ { 0 } }$
• B. $M \sqrt { G m R _ { 0 } }$
• C. $m \sqrt { \frac { G M } { R _ { 0 } } }$
• D. $M \sqrt { \frac { G M } { R _ { 0 } } }$

Answer 1

Answer: (A)

$m \sqrt { G M R _ { 0 } }$

Answer 2

Angular momentum = Mass × Orbital velocity × Radius

$= m \times \left( \sqrt { \frac { G M } { R _ { 0 } } } \right) \times R _ { 0 } = m \sqrt { G M R _ { 0 } }$