<font color=blue>I am still undecided about how to turn the chute. I would like to use a hydraulic motor, but it would have to be a slow-speed one, and I think the cost is too extravegant. I may use an automotive electric window motor/gearbox, as these are almost free</font color=blue>
Window motor is a good choice.
Another option is to rig a double acting hydraulic cylinder & cable.
The cable is in an oval shape. The chute is centered on one axis of the oval. Pully on the other. The cylinder is on one of the straight sections. The cable is rigidly attached to the chute. operate the cylinder one way, chute rotates left, operate it the other way & it rotates right. You'll have to do some math to figure out how much throw you need in the cylinder. Depends on chute diameter & how much rotation you want.
If after your calculcations, the cylinder is too long to fit on one side, you can use two pulleys & make a triangular setup with the chute in the middle & the cylinder behind it.