% coilgun.m  
% a model for the basic vertical launch coilgun
% created and written by Glen E. Gardner, Jr.
% glen.gardner@verizon.net

% calculates  a single coil
count=count+1

% the average velocity at the end of the coils (meters per second)
v=sqrt((i*2*dKE)/m)

% the change in velocity
dv=v-vo

% store it for use on the next iteratioon
vo=v

% the average time to travel through all the coils.(seconds)
t=(l1*i)/(0.5*v)

% the change in time
dt=t-to

% store it for the next iteration
to=t

% average acceleration through this coil only (meters per second per second)
da=dv/dt

% the average force exerted by this coil (Newtons)
F=(m*da)

% average work done by this coil(Joules)
W=F*l1

% total work done (Joules)
W=(F*l1)*i

% calculate the desired resonant frequency of the coil
f=1/dt

% calculate the inductance of the coil
L=((1/f)/(2*pi))^2/dC