While having sexual intercourse, the Captain Barden is a modified version of doggystyle. When hitting it from the back, you have the left knee on the bed and the right foot on the bed with the right leg cocked out, like you are kneeling on one leg. The right hand goes on your hip and your left hand goes on her left shoulder. The purpose of the left hand on her shoulder is to maximize penetration by bringing her body into you.
Popularized by my boy DJ XLent.
Me: Yo I hit that shit doggystyle last night.
Jeff: Nah man this is what you gotta do, right leg out, right hand on the hip, left hand on the shoulder and just smash on that bitch all day.
Me: Good call. I gotta hit that shit Captain Barden tomorrow night.