I've tested the repair mechnaic extensively for the Community Update, and won't go too much into detail here, but with a racial repair ability a ship there will repair with +1 HP every turn, and being in planetary orbit will double that to, at least, a minimum of +2 per turn. The racial repair ability will not act like boosting this per percentage (because the game basically truncates all calculations so unless someone reaches +100 repair it would stay at +1 outside of orbit respectively) but a racial repair ability will grant a slight chance of a random higher repair in a single turn, and although I never could make out the exact formulae I oftentimes saw a +6 HP.

Iconians, who happen to be the topnotch repair race (up to +100% and even more in some cases) could have up to +22 HP or more, although usually it was far less, it was pretty random except the +1/+2 HP that always occured.

Having 0% racial repair resulted in a lot of turn where actually no repair occured at all, at least, more than 50% of the cases.

Personally, I'd like to see Military Starbases play a significant role in repairing fleets/ships, and also, I'd like to see them (and only them) being able to move VERY slowly in order to being able to shift their purpose from being entirely defensive into offensive play. In a way, they should be able to follow up an expanding empire. The problem here is the restriction when they won't be bale to move into a new location because it is already filled up with other starbases, which could also lead to possible abuse or exploit (blocking systems with MSB so that the AI can't install other starbases there and then subsequently removing them and installing own player SBs).

And I have trouble to come to a solution to this, because Military Starbases need to see the limitation requirements as well otherwise a player could create a situation were fleets become totally invincible due to sheer endless ship-assist support from them.

I really think shipyards need to heal ships faster than the "battlefield repair" base rate. Maybe starbases with a repair module. I feel like this should have been a thing ever since shipyards were put in the game.