Huh I always thought acceleration due to gravity is a combination of both mass and distance. That is why gravity is so much stronger on earth than on the moon.
The force on the object is proportional to its mass. Acceleration, being (force/mass), is therefore not dependent on mass. (Ah least, for a small object being attracted to a much larger body)
Indeed it is, but the second body's mass may be neglected if it is orders of magnitude smaller than the larger body. Or at least that's how I understand it (I'm not a physicist).
