"Libratory" is a relatively uncommon word in everyday conversation, but it has several synonyms that can be used in its place. One of the synonyms for libratory is "oscillating," which refers to something that moves back and forth in a repeating pattern. "Swaying" is another synonym that is often used to describe something that moves gently from side to side. Another synonym for libratory is "pendulous," which describes something that hangs or swings freely, such as a pendulum. Finally, "undulating" is a synonym for libratory that refers to smooth, wavelike movements, such as those of ocean waves or a snake slithering across the ground.