According to Wikipedia, they're all related: Project Vanguard launched Vanguard satellites on Vanguard rockets, but only 3 of 11 launches succeeded. The US Naval Research Lab that ran the project doesn't have much to say about it.
SLS major work locations:
Alabama- Testing & upper stage, engineering design
Utah- Solid rocket motor
Florida- Launch pad updates
Louisiana- Core booster, Orion
California- Main engines
Colorado- Engineering for upper stage, Orion
So far as I can tell, it seems like these are where the major contracts are, although I don't doubt ...
From a pre-launch press release for Apollo 11:
Among the many missions conceived at that time was a manned journey to the Moon and back. Dr. Silverstein himself named it "Apollo" after one of the most versatile of the Greek gods. Dr. Silverstein recalls he chose the name after perusing a book of mythology at home one evening, early in 1960. He ...
There's currently a single Google1 hit for that phrase2, so I strongly suspect this is a backronym the author thought was clever.
It might be worth checking the reference given around this information "Battin, R. H., An Introduction to the Mathematics and Methods of Astrodynamics, American Insitute of Aeronautics and Astrodynamics,1987."3 -- ...