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?
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.
(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.