Again, OP asked if our moon was just named moon. The answer is no (unofficially).
And "yes" officially (and, to be pedantic, it's named "Moon", not "moon"). Again, the IAU sets the names and it says the official name is "Moon".
Judgmenl posted...
Pretty sure that Terra / Luna are accepted in the scientific community.
They are not. Not if you're going by IAU standards.
In fact, if there's a phrase that is frowned upon (though still grudgingly accepted) in astroscience, it's using "moon" to refer to something other than the Moon. As Zbug mentioned, the proper scientific term for a planetoid that orbits a planet is "satellite", not "moon".
Those are the same people who said Pluto isn't a planet. ---