Does anybody know good equations for the following things?
I need to basically get some kind of values that would describe how air craft behaves as angle of attack changes.
This might help:
http://www.av8n.com/how/htm/4forces.html
Just know that thrust plays an important roll in those equations as well, as it’s easier for a plane to climb/fall than maintain altitude.
Those will vary by aircraft. You need to decide whether you’re trying to simulate a Cessna, a 747, an F-14, a Lancaster, … and then try to find data specific to that plane. Bear in mind that airspeed also makes a big difference: especially the switch from laminar to turbulent flow which guarantees a stall.