Q:

How do I move JQuery draggable element without mouse

Is there a different way of JQuery draggable element moving?
Think yourself as a spammer.

A:

it should not be such a big deal, only calling the correct sequence of: .mousedown(), .mousemove() and .mouseup()
as the official documentation says (http://api.jquery.com/mousedown/):

Bind an event handler to the "mousedown" JavaScript event, or trigger that event on an element.

the same is true for the other two jquery function descriptions

