There is a difference between A/P and OBE's.
A/P is projecting your Astral body to another place. Somebody else can actually see you then, like a kind of hologram. It's not entirely correct, there are more ways of projecting yourself. It's always in a more or less visible way.
An OBE is something you do only with your mind, your Inner Self is going 'out' then. Not visible for others. OBE's are often connected with Lucid Dreams. Not always, you can go out of your body whenever you like if you have the ability to do so...
A/P is projecting your Astral body to another place. Somebody else can actually see you then, like a kind of hologram. It's not entirely correct, there are more ways of projecting yourself. It's always in a more or less visible way.
An OBE is something you do only with your mind, your Inner Self is going 'out' then. Not visible for others. OBE's are often connected with Lucid Dreams. Not always, you can go out of your body whenever you like if you have the ability to do so...