Objects in space in adjacent orbits around aren't floating in space, they are falling on Earth at a great speed. If you apply an impulse in the way as shown in the movie, you'll expand or shrink the orbit excentricity and you will likely start moving up or down rapidly relative to your target, instead of closing in. This way to get to your target you'll need to burn an insane amount of fuel and do orbit corrections every second. The right way is to make one impulse to change your orbit in such a way that your new orbit will intersect the orbit of your target (and that you both will be there at the same time), and the direction of such impulse might be far from obvious. More likely one impulse will result in a very long transit orbit, so a better course would be two or more orbital corrections.