Ok,

The pictures of what is happening now and what I want to happen are already in this thread. I want ship to look like #1 whether its turning or going straight.

Its a problem because we ARE setting the correct variable to begin with, but the particles acceleration accelerates away from the ship in the incorrect way. I'm stumped as to what I set p.vel_x,y,z so it always accelerates straight instead of curving like it does in the pictures.