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Centripetal Force of satellites

  1. Dec 23, 2013 #1
    1. The problem statement, all variables and given/known data

    One of Saturn's satellites travels in a circular orbit at a velocity of 19481 m/s. Saturn's mass is 5.69x10^26 kg. What is the radius of the satellites orbit?

    2. Relevant equations

    Fg = (G * m1 * m2) / (r^2)

    Fc = (m*v^2)/(r)

    3. The attempt at a solution

    The centripetal force is equal to the force of gravity in this case.

    Therefore:

    (G * m1 * m2) / (r^2) = (m*v^2)/(r)

    (G * m1) = (v^2 * r)

    (6.67x10^-11 * 5.69x10^26) = ((19481)^2 * r)

    r = 100 003 593.9 meters ?

    Thanks for your help.
     
  2. jcsd
  3. Dec 23, 2013 #2

    adjacent

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    Gold Member

    Everything here is in SI units,if your calculation is right,yes it should be in meters.
     
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