(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I want to find the period of the satellite.

2. Relevant equations

mg = mv^2/r

3. The attempt at a solution

I derive the equation

mg = mv^2/r

v = sqrt(gr)

v = ωr and ω = 2π/T

T = 2π/ω = 2πr/v

Then, T = 2πr/sqrt(gr)

But the answer is 2πr/R * sqrt(r/g). I don't know why? Is there anyone can give an explanation to me why it is not correct.

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# Finding the period of the satellite's orbital motion

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