So some careful experimentation (read: intentional deaths) shows that the green Fallen belong to "The House of Exile" and the local Hive are from both the "Hidden Swarm" and "Spawn of [[I forget the name already, but its whatever the temple was named. Cotra?]]" Also, the descriptions of two other missions on the Moon can be read after you complete the first one, which mentions a library and sword that's slain thousands of Guardians.