EDIT: Here\'s a link to show you my sample code: http://www.singingeels.com/jqtest/
I have a very simple page that references jquery-1.3.2.js, ui.core.js (latest version
There's a question in the JQuery forum about it. It's not resolved at the time of writing, but may have more information in the future.
EDIT: It was answered on the forum:
I recommend you use the simulate plugin which is what jQuery UI uses for unit testing drag and drop:
https://github.com/jquery/jquery-ui/blob/master/external/jquery-simulate/jquery.simulate.js
You can see examples of use by looking at the unit tests
https://github.com/jquery/jquery-ui/blob/master/tests/unit/draggable/core.js
https://github.com/jquery/jquery-ui/blob/master/tests/unit/draggable/events.js
Thanks to rdworth for that.