Centripetal Force of satellites

[Speedking96]

Homework Statement

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?

Homework Equations

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

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

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.

 

[adjacent]

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