Question

Define period of revolution. Derive an expression of period of revolution or time period of satellite?

Answer 1

Hi

Here is your answer,

Period of revolution of a satellite is the time taken by the satellite to complete one revolution round the earth. It is denoted by T.


                         T = Cirumference of circular orbit/ Orbital velocity

              or           T = 2πr/v° 

                or         T = 2π(R+h) √R+h/GM                           [∵v = √GM/R + h ]

             or,                 T  = 2π √(R + h) ³ / GM

               or          T = 2π √(R+h)² (R + h)/GM

 Also,                T = 2π√(R+h)³/gR²

    ∴                     gR² = GM

                  
∴                           T = 2π = √(R+h)³/gR²
                        


Hope it helps you !

Answer 2

Explanation:

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