I have to make a simulation for a vehicle and trailer that can show the response to a quick swerve. I am planning on making it reasonably accurate, basically just showing if the trailer is stable or not and what its response time/dampening ration would be. I can find out almost any physical aspect about the trailer for the model, but I am not very familiar with dynamics/kinematics, and it seems like that's the avenue to take.
I have done some research, and it seems as if everyone is treating similar examples as rigid body motion in a plane. Generally I have only found examples of the trailer being linked to the midpoint between the back tires similar to a 5th wheel or goose neck hitch. For my simulation, I need it to be be similar to a common consumer hitch, mounted back several feet form the axle - meaning when the car turns to the left the hitch moves slightly to the right. I assume that is just taking another vector into account but I am not entirely positive. Does anyone have any good examples of this, or would be able to help setting up the initial equations? I have several books to read through but I was hoping to avoid starting at the most basic level and teaching myself a 510 masters class at work.