cimmaronjim, what you need will basically depend on what you would like to have from the game and what you can afford/convince TPTB of.
If you just want to play with decent FR and low graphic/detail settings, you can look at machine like FX1 suggested, or a medium performing Laptop.
If you want full graphics and top FR even in multiplane furballs, then youll need to invest some more money into a gaming desktop or a high end Laptop.
This is my Laptop:
Intel(R) Pentium(R) 4 CPU 2.80GHz, ~2.8GHz
446MB RAM
RADEON IGP 345M
SoundMAX Digital Audio
It runs AH, but barely. Non-playable really in online mode. With everything tweaked to performance, i get 10-15 FPS when sitting in tower. Encountering another plane (even the drones) kill anything that resembles remotely a FR.
My current desktop is a
AMD Athlon(tm) 64 Processor 3700+, MMX, 3DNow, ~2.2GHz
2048MB RAM
NVIDIA GeForce 7600 GT
SB X-Fi Audio [A000]
It runs AH at full detail with 75-85 FPS and cost me about 800 EUR building from scratch.
Whatever you get, make sure it has external graphics, not onboard graphic chip and at least 1024 MB RAM.