In the Directorate of Air Operational Research, I also
studied air-to-air operations by the CF-18.
I examined a dog fight between two or more fighter aircraft. I used a differential equation model based on the book by Rufus Isaacs Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization 
. I
solved the differential game using the Runge-Kutta method. In
this study, I built a simulation of many-on-one air combat. I examined the relative merits of speed,
evasive ability, fire power and number of aircraft on the potential outcome of
the dog fight. I found that the Runge-Kutta
method to approximately solve a system of differential equations was very
effective.
. I
solved the differential game using the Runge-Kutta method. In
this study, I built a simulation of many-on-one air combat. I examined the relative merits of speed,
evasive ability, fire power and number of aircraft on the potential outcome of
the dog fight. I found that the Runge-Kutta
method to approximately solve a system of differential equations was very
effective.
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