I want to copy the text in the subtree, but not the headline. Right now I
use the following hack:

(org-narrow-to-subtree)
(beginning-of-buffer)
(next-line 1)
(setq minPoint (point))
(copy-region-as-kill minPoint (point-max))
(widen)

However, org-copy-subtree would do exactly what I need, IF it did not copy
the headline. Then I could cut out four lines of the above code.