Newton´s satellite problem

  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. Redbelly98

    Redbelly98 12,043
    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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