The problem is, Kubrick doesn't pay any particular focus to sun or sunlight in the scene, per say. For a film where he shows quite a bit of celestial body shots, there isn't one there, of the sun specifically, for what that's worth. In fact, the lighting from the time it's touched, thru when they pose for a photo, up to when it signals, is all pretty consistently dark IMHO, apart from the flood lights present.
That said, Kubrick is often one to veer from the source material as it suits him & his directorial esthetic. It's possible he was altering the intent or disregarding altogether