This would be a really short blog since Fedora 13 is smart (read: Advanced) enough to hit the ground running on HP mini 5102 netbooks. The only tweak you might have to do is installing wireless driver from Broadcom. Marvell Ethernet NIC works fine out of the box on Fedora 13, thanks to 2.6.33 kernel.
For wireless, here is what you need to do:
You basically have 2 options:
1- Install the driver manually
2- Install it through RPMfusion
I cannot think of any reason why you would want to go with option#1 since it'll make you do the drill every time you have a Kernel upgrade, which is quite common in with most Linux distros. If you still want to go with option#1, please jump to the end of this page.
This is how you can install wireless drivers using RPM fusion:
rpm -Uvh http://download1.rpmfusion.org/free/fedora/rpmfusion-free-release-stable...
rpm -Uvh http://download1.rpmfusion.org/nonfree/fedora/rpmfusion-nonfree-release-...