# Finding mass with an estimated gravitational force

As asteroids orbit the sun, they experience gravitational force exerted on them by the sun, and they in turn exert a very minute force back on the sun. Because of their small size, asteroids don't tug on the sun a measurable amount, so therefore you cannot determine the gravitational force acting upon them. However, there are asteroids with known masses, and known gravitational forces (such as Ida) which have been visited. Since asteroids are so small their gravitational forces are negligible, could the gravitational force of an average asteroid be extrapolated to the rest of the asteroids in its family? And using this average force you could then find the masses of the nearby asteroids with Newton's law of gravitation? Or would the gravitational forces be too different to produce a meaningful result?