how period of a satellite revolve around earth depends on mass of earth
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The time period is given by 2πr/ v
Where v is the critical velocity and it is given
By v = √GM/r
Thus substituting the value
T = 2πr/√GMr
Squaring on both the sides we get
T^2 = 4π^2*r^3/GM
THUS IT PROVES THAT THE TIME PERIOD IS DEPENDENT ON THE MASS OF THE PLANET NOT ON THE MASS OF THE SATELLITE
Where v is the critical velocity and it is given
By v = √GM/r
Thus substituting the value
T = 2πr/√GMr
Squaring on both the sides we get
T^2 = 4π^2*r^3/GM
THUS IT PROVES THAT THE TIME PERIOD IS DEPENDENT ON THE MASS OF THE PLANET NOT ON THE MASS OF THE SATELLITE
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