I just heard a scientific term that I think would be a great, and concise, name to replace the g-word...
There is a term for when celestial bodies orbit, and always have the same side facing the other. It is "tidal lock". It could be described in fun ways, and the word "lock" would be a built in reminder to lock eyes, which to me is a fun part of the movement.
I must be honest, the term when both bodies stay facing each other it is technically a dual tidal lock, but surely scientists would forgive this inaccuracy to allow concise calls. :-)