This not part of my personal mythic synthesis, so I wish I had more to suggest here, but..
...in the grimoires, the Three Chiefs at the top of the Infernal Hierarchy often vary between Lucifer, Belzebuth, and Astaroth (LBA) or Lucifer, Beelzebuth, and Satan (LBS). The Grim Verum is LBA.
Satan is often called the 'Prince of the Powers of the Air,' and in the classical worldview, the Sublunar World is the 'Air' between the surface of the Earth and the Moon.
In his Goetic Liturgy Jake Stratton-Kent ritualizes Astaroth as a 'lower' frequency or 'manifestation' of Hecate. I have used this schema and it works, for whatever reason. In the Neoplatonic worldview, Hecate 'is' the World Soul (Anima Mundi), which is encompass the Sublunar realm beneath the Moon. .
Therefore, we might see them as different lenses and forces that allow us to interact with the same 'region.' and in that sense maybe they are "married" as clockwise and counterclockwise forces. We might call Astaroth the Centripetal Force (center-seeking), and Satan the Centrifugal Force ( center-fleeing ) - but I'm just making that up.
That said, I have Neoplatonist brain, so Hecate - as a goddess - would not be a daimon. But far be it from me to make any hard and fast rules. I hope some of that was useful to folks.