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Newton´s satellite problem

  1. Oct 29, 2008 #1
    Hello friends, I have a question considering newton in circular motion.

    1. The problem statement, all variables and given/known data
    Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L.
    What is the net force of every single satellite?

    e.g. - S1: m= 300kg L= 7500m

    If I know how to work one of them out I can do the rest.

    2. Relevant equations

    F = mv^2/L

    I know m, know L but have to figure out v.

    3. The attempt at a solution
    Well, I started writing down the equation for motion in a circle and got Fnet=mv^2/L.
    I was hoping I could replace v with 2*pi*L/T.
    However I dont know T. I am assuming that since the time taken for the round trips is the same for every satellite, I could assume T being 1 couldnt I?
    Please help and thanks in advance.
  2. jcsd
  3. Oct 30, 2008 #2


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    Staff Emeritus
    Science Advisor
    Homework Helper

    How about the equation for the force of gravity between two masses?

    Also, what about the mass of the space station?
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