No.i think you are wrong in that sense.You should read relativity book. IT is quite different from other forces.Gravity is experienced because space-time is cured.This curvature of space-time creates gravity.And what creates this curve???
Mass of objects!! This is what it is explained in theory of relativity. It is actually a part of general theory of relativity. that is how bigger mass have even more bigger gravity.. Now just imagine,if sun is going out of the the gravity.there are two possibilies: if sun moves, earth and other planets will move in unorthodox way around the sun. Second all planets will move in straight line not in the direction of sun.This is just like an example of a stone tied to a string.if you spin the stone while spinning,if string breaks,it will move in a direction tangent to the orbital motion. since you have assumed that second case will happen,think that sun moves,as soon as the sun moves,earth and other planets will move out of the gravity of the sun. you answer is wrong for earth and right for farthest planet. if sun moves,then gravity will shift first from fartest planet.then for sun's gravity to move away from the earth it will take 8 minutes because it is close to it. i think you have got my point. Actually this will not happen.I just said that this will happen because you told me to explain it in that case.Only first case will happen if sun moves even faster..