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A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is R0 and mass is M, the angular momentum about the center of the earth is

Option: 1

m\sqrt{GMR_{0}}


Option: 2

M{\sqrt{GmR_{0}}}


Option: 3

m\sqrt{\frac{GM}{R_{0}}}


Option: 4

M{\sqrt{\frac{Gm}{R_{0}}}}


Answers (1)

best_answer

As we learn

Angular momentum of satellite -

L=mvr

L=\sqrt{m^{2}GMr}

L= Angular momentum

m\rightarrow mass of satellite

- wherein

v depends on both the masses , mass of centre of body and mass of planet as well as radius of earth.

 

 Angular momentum  L = mvR0

                                      = m \sqrt{\frac{GM}{R_{0}}} R_{0}

                                        =   m \sqrt{GMR_{0}}

 

Posted by

Divya Prakash Singh

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