I've always wondered how people calculate where things go, and when they get there, as objects drift about in space. I had hints of the explanations and techniques in grade school. High school especially gave me a few hints, that was when I had my first class in physics. There was a re-hash of the same material as an under grad. I can't remember if there was a coarse on orbital mechanics back then or not... there is now.
I finally sat down and started to think about it. I've used the proposed Juno mission to Jupiter as an exercise to see if I can figure out how it all goes together. If you are also interested take a look at a possible Juno flight to Jupiter.
Pioneer , and the Pioneer Anomaly .
The NASA ISS & Space Shuttle website.
The National Radio Astronomy Observatory (NRAO). They have a short intro coarse called Essential Radio Astronomy. It covers lots of interesting stuff, and has an especially intriguing take on electromagnetic radiation. They don't use the classic Maxwell's equations approach.
The VLA (Very Large Array) in Socorro New Mexico.
The Mount Wilson Observatory, is where Milton Humason, and E. Hubble collected the galaxy red shift evidence for the expansion of the universe.
The Sloan Digital Survey.
The Deep Space Network (DSN) - NASA - JPL
Cosmic Microwave Background (CMB) radiation (Arno Penzias and Robert Wilson) and WMAP.