(For military slang, see Military Worldbuilding document)
TVA is an enormous organization built upon layers and layers of bureaucracy. Its heavy focus on paperwork and regulation is well-known/joked about, but still creates lots of problems. Constantly trying fresh new programs and kitschy ideas to reach out to veterans.
Note: not an inherently evil organization, just disastrous.
Currently TVA divides its registered veterans into different “teams,” which are named (ostentatiously) after Greek Titans (Hyperion, Themis, Cronus, etc.). Your team determines where you are eligible to receive care from, what restrictions your pharmacy card has (such as whether you can be prescribed narcotic pain killers), and other critical levels of service.
A mathematical formula is used to determine eligibility for a team, and no one is quite sure all of the factors that go into it, but it takes into account things like your service record, whether you were wounded in combat, your disability rating, any psych evaluations you’ve had, radiation exposure, etc.
Themis is the “bottom” team, with Hyperion middling and Phoebe at the top.
There are heavy taxes placed on many imports from Outter to Inner system, and lot of delays when going through official channels. Often, the military will avoid this by making companies or individuals military subcontractors. They get an official designation as adjunct to the military, and occasional perks such as supplies that are easier to get on Terra, or through military channels, and exchange they sell their materials at a slightly lower price, but without the hassle and paperwork.
The military has been known to hire “freelance subcontractors” who are more or less mercenaries, for a variety of roles both official and not-as-official. This isn’t always, or even usually, brutal or bad people. It’s largely to get things accomplished the Terran military itself can’t do. (See: Oh Beautiful for Heroes Proved)