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Finding the period of the satellite's orbital motion

  1. Mar 17, 2019 at 3:55 AM #1
    1. The problem statement, all variables and given/known data
    Screen Shot 2019-03-17 at 3.50.12 PM.png
    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.
     
  2. jcsd
  3. Mar 17, 2019 at 4:05 AM #2

    BvU

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    Science Advisor
    Homework Helper

    Hi,

    From the text: ##g## at the surface is not ##g## far away ....
     
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