have you ever done course corrections in KSP? A tiny nudge early on is enough to make a huge difference farther out!
I'm very much impressed by the control precision of real-life space probes.
https://commons.wikimedia.org/wiki/File:Animation_of_Rosetta...
There is a very interesting interview with Pablo Munoz from the Bepi Colombo team about flight dynamics on the Omega Tau podcast that explains this: http://omegataupodcast.net/295-bepicolombo/
The other interviews on the same episode are also worth listening to. In fact, the entire podcast is great.
https://en.wikipedia.org/wiki/BepiColombo#/media/File:Animat...
And this is one of the many reasons why these machines are horrendously expensive - they are incredibly precise.