Tidal forces can break apart objects that orbit too close to a planet, producing rings like those of Saturn. Consider an asteroid 600km in radius, 65mm from Saturn's center.

Question

What's the difference in gravitational acceleration between the two sides of the asteroid?

Answer 1

f=GMsat*Mast [( 1/65mm)^2-1/65.6mm)^2]

There is another way, using differentials.

Answer 2

we don't know the mass of the astroid, how do we use the equation you have provided?