A friend passed along this tip. I suppose it could be animated, but
if you need a one-off set of lat-long coordinates, try this.
Find a location in Google Maps and center it in your computer
screen. Paste this command in the url bar:
javascript:void(prompt('',gApplication.getMap().getCenter()));
You'll get the lat/long for that location.
NB: Paste into the URL address bar, not not Google's "search maps" window.
-tj