So I found a system that none of the planets has anyones name on them as discoverers. Now what? Do I have to map them, land on them, rub a genie in a lamp? I have mapped one world, and am currently sitting on it, so yeah... now I just need to know what to DO with them.
Congratulations! If the Star or Stars also doesn't have a name on it you get 1st Discovered on that too and the entire system is yours forever.
Immediately self-destruct to get back to a station and sell the data before someone else. DONT! Used to be true but not anymore, DO NOT do that, seriously, dont even try it. You must get to a station safely and sell the data to get your name on it. Its the traditional historical RL Explorer thing, the credit goes to the one who gets back first and claims it, not necessarily the first one to find it.
You'll be 99.9% safe to continue on your way finding more undiscovered and then when you do find a station sell the data and its your name on it. First Foot in Odyssey apparently will work as soon as you step out, no need to get back safe.
CRAP. I don't have a FSS, just a DSS. I couldn't find an FSS before I left as none of the starbases I visited sold them.
Wrong way round

FSS is Full Spectrum Scanner - its the bit on a separate screen where you zoom in to resolve all the bodies in that other screen and get more details or you can just fly close enough to stop the 'scanning' message in the bottom left info panel and resolve what the planet is. Fitted to all ships as standard, may need to assign a button / keybind to it if not already but usually is in one as standard.
DSS - Detailed Surface Scanner (I think) - is the one where you fire probes to map the planet and is an optional purchase. This shows POI on the planet and surround....until Odyssey when I believe its different.
Probably want to land on one and drive the SRV around. You will be the first person ever to land and drive on that planet...and possibly the last. Bookmark the System in GalMap so you can look back when sold data and see your name on everything. Just because its your first and you can show your friends.