Calculating C for a Freely Falling Satellite

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The discussion revolves around calculating the constant C for a freely falling satellite using the formula T=C(R^3/GM)^0.5, where T represents the time taken for the satellite to reach Earth. Participants express confusion about the role of pi in the constant C and seek clarification on the meaning of T. The gravitational acceleration is described using the equation GM/r^2. The goal is to demonstrate that C equals pi/2^(1.5) through the satellite's equations of motion. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement



A satellite falls freely towards the Earth starting from rest at distance R, much larger than the Earth's radius.Treating the Earth as a point mass M then
T=C(R^3/GM)^0.5
where G is gravitational constant
By using equation of motion of the satellite, show that C=pi/2^(1.5)

Homework Equations



use GM/r^2=a


The Attempt at a Solution


I m not sure how the satellite falls ...why is pi in the constant C??
 
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What's T supposed to be?
 
ideasrule said:
What's T supposed to be?

Sorry..T is the time taken by the satellite to reach the Earth
 

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