To me, the coolest thing about stuff like this is that people use just math and their brains to say, okay we launch the craft at this time and it goes this fast and look seven years later it lands right where we want it to. That is badass.
These types of videos are so simultaneously humbling and flattering. The universe is so enormous and alien and glorious, and yet we upright monkeys fling our metal servants across an unimaginable vastness for the purpose of pretty pictures. Awesome.