Establish expression for orbital velocity and time period of a satellite
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Answer: T=2pi under root R/g
Explanation:
In equilibrium, the centripetal force is provided by the gravitational force of the earth, here;
mv^2 / (R+h) = GMm/ (R+h) ^2
Therefore ,
orbital velocity = under root of the
GM /R+h
= under root of the gR^2 /R+h
= R under root of g /R+h
-> time period of satellite = d /v
= 2pi r/v
= 2pi (R+h) / under root of GM /R+h
Therefore,
T= 2pi under root (R+h) ^3 /GM
T= 2pi under root (R+h) ^3 /gR^2
-> If h<<R,
T = 2pi under root R^3 /gR^2
T = 2pi under root R /g
Hope this might be helpful to you.
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Answer:this is the right answer..... Mark it as brainleast.....
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