[O] Auto-Fill (aka Word Wrap) of Headline Text

[Lex Fridman]

I enable auto-fill (aka word wrap) with:
(add-hook 'org-mode-hook 'turn-on-auto-fill)

Now, while editting an org file, I check the minor modes with "C-h m",
and Auto-Fill is one of them. So when I type a long line it should
automatically wrap, right? It does for regular text but NOT for when
it's a headline (line starts with one or more *'s).

I'm sorry if this is a trivial question, but I simply have not been
able to find a solution. I'm using org-mode version 7.4 in emacs
23.2.1 on Ubuntu 11.04.