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  • What is orbital velocity? Obtain an expression for it.

What is orbital velocity? Obtain an expression for it.

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Orbital velocity of a satellite is the velocity that is required to put the satellite into its orbit around the earth.

For the revolution of a satellite around the earth, there must be a centripetal force for the circular motion to happen.

The gravitational force which acts towards the center is providing the required centripetal force,

i.e F_c=F_G

       Where    Centrifugal force,F_c= \frac{mv^2}{r}; 

Gravitational force,  F_G=\frac{GMm}{r^2};
So on equating we get 
 

        {\frac{m v^{2}}{r}=\frac{G M m}{r^{2}}} \\ {v=\sqrt{\frac{G M}{r}}}

Where

r\rightarrow Position of the satellite from the center of earth

v\rightarrow Orbital velocity

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avinash.dongre

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