A bhar is an Orion word, title or rank referring to a starship officer who is subordinate to the captain or commanding officer.

Lieutenant Cophot was called bhar by an ensign, and called "bhar Cophot" by his elt, or captain. (TAS - Star Trek Log Five novelization: The Pirates of Orion)

Cophot's rank of lieutenant in the episode would imply that bhar is an equivalent rank to lieutenant.