con't...
Plus the theory to tag and blast once it reaches the estimated keyhole radial range of a several hundred meters.
You have to basically forgo all established spatial calculations from launch base. Because current space launchers will be viewed as too slow and calculations from trajectories will have to make past 0.01% errors to reach the target which is apophis.
The technology which may come out of this will be the new age race for space. A linear or an orbital launch from the platform into the path of the asteroid.
Anyone interested? Oh yeah - you might get kidnapped by desperate countries which will express a high interest in your theories

for genocidal purposes .