Balam and Litva are both triple systems, where we have 3 objects and 2 relative barycenters.
Balam is rotating around a first barycenter in common with S2007 (3749) 1 (in catalog as "Balam-S2007"). This barycenter, in turn, rotates around the main barycenter, true center of the system, in common with S2002 (3749) 1.
So for SpaceEngine, is not Balam having satellites, but its parent barycenter having 2, and the main barycenter "Balam system" having 3 (S2002 + Baryc. Balam-S2007).
By this reasoning, S2002 it shouldn't show 2 moons at all, which could mean it's a bug indeed, but having the asteroid Balam showing none in info is consistent with SpaceEngine simulation.
With Litva the situation is the same.
I'm afraid I fail to see where it says S2002 is the largest, Balam and S2002 diameters seem to match data from Johnston's archive. Could you be more specific?
There are many missing Right now I'm slowly going through main belt confirmed binaries from Johnson's Archive, then there are still tons of confirmed NEOs and TNOs that will have to be added to the script. Then there are more which are probable binaries, some of them are already in the catalog. Lot of work in spare time.
It's not so difficult to make a script in order to add a binary asteroid, it's just a bit tedious after a while. I'm using a spreadsheet to fill the data and to do conversions and calculations, but I'm having fun in searching around the net if the data are confirmed or there are fresh news regarding the object, like a name change, or if it's in SE catalog with one of the previous denominations, or precise mass determination, things like that.
Thanks to all of you checking the catalog, feel free to contribute with scripts if you feel like it.