How do space agencies get their space probes exactly where they want them to, especially when it passes by multiple planets?

Question

It’s seems so impossibly hard to me, given that at those distances being just a single degree too far to the left etc. would result in missing a distant planet completely.

In: Planetary Science

Answer 1

The short answer is it’s all math. The locations of the planets are known to high precision and the location of the probes can also be measured.

Space probes always have small course correction burns planned to fix up the trajectories along the way.