Turntable That Can Automatically Replay A Track?

Is there a turntable that can automatically detect the duration of a musical track by the groove lines on the record and replay the track without having the user going up to the turntable and moving the tonearm? I've got up from my listening chair more than 50 times yesterday to replay the same track on the turntable. On certain days I can listen to the same song for hours (on repeat). It's easy on a CD player but quite a chore with a turntable.

Does such a turntable exist? It would be great if a remote is available for selecting tracks but that would be asking too much.