The AKA powered by Stübben connecting strap completes the series of equipment for double line lunging. It connects the stirrups under the horse's belly so that they allow to be used like sliding rails for the longlines which are connected to either the bridle or the bitless bridle or halter. They can be used with both the starting saddle and the surcingle. The length of the placement of the stirrups determines the influence on the horse's mouth or nose when used with the AKA powered by Stübben training halter.