The AA1 ships with OpenOffice 2.3, with no available upgrade path, because 2.4 is only supported in Fedora 9, while the AA1 is based on Fedora 8. There is a solution besides downloading the tar archive from their website, but it requires some work. You can take a look at the release notes for 2.4 first to see if it's worth your time.

Update: You may consider to install OpenOffice 3.0 instead.

First of all remove all unnecessary language packs as described here, it makes upgrading much easier. Then some packages have to be downloaded. Create a directory in Downloads, name it OpenOffice, and save all files there.

The packages needed are calc, core, impress, writer, latex, hunspell, hyphen, hyphen-en, mythes-en, nspr and nss. Also needed is the language package, for english being langpack-en. If you need another language you'll have to edit the download path and replace en with your language code. All available languages can be seen here. Download the corresponding version of hunspell, hyphen and mythes in addition to the english ones. If in doubt which one to choose get the latest fc9 version available.

Open a terminal.

sudo rpm -U Downloads/OpenOffice/*

If you only receive two errors, about libcrypto.so.7 and libssl.so.7, all went well and you can continue. If not make sure you downloaded all required packages and retry.

sudo ln -s /lib/libcrypto.so.6 /lib/libcrypto.so.7
sudo ln -s /lib/libssl.so.6 /lib/libssl.so.7

Upgrading OpenOffice also replaces all icons with low resolution official icons, so the original ones need to be backed up. Don't forget the dot at the end of the line.

sudo cp /usr/share/icons/hicolor/48x48/apps/openofficeorg* .

Now everything can be installed.

sudo rpm -U --force --nodeps Downloads/OpenOffice/*

Put the original icons back in place.

sudo mv openofficeorg* /usr/share/icons/hicolor/48x48/apps
sudo gtk-update-icon-cache -f /usr/share/icons/hicolor

The only thing left to do is to edit the desktop files, and to remove %U on line number nine.

sudo mousepad /usr/share/applications/openoffice.org-1.9-writer.desktop
sudo mousepad /usr/share/applications/openoffice.org-1.9-calc.desktop
sudo mousepad /usr/share/applications/openoffice.org-1.9-impress.desktop

That's it, OpenOffice has been upgraded to version 2.41, the latest available.