📄 initial.m
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function [rt1f,rt2f,tfdes]=initial(rt2des,rt1ic,rt2ic,vt1ic,vt2ic,beta)
rt1=rt1ic;
rt2=rt2ic;
vt1=vt1ic;
vt2=vt2ic;
t=0.;
h=.01;
while rt2>rt2des
rt1old=rt1;
rt2old=rt2;
vt1old=vt1;
vt2old=vt2;
step=1;
flag=0;
while step <=1
if flag==1
rt1=rt1+h*vt1;
rt2=rt2+h*vt2;
vt1=vt1+h*at1;
vt2=vt2+h*at2;
t=t+h;
step=2;
end
if rt2<=30000.
rho=.002378*exp(-rt2/30000.);
else
rho=.0034*exp(-rt2/22000.);
end
vt=sqrt(vt1^2+vt2^2);
q=.5*rho*vt^2;
gamt=atan2(-vt2,vt1);
at1=-32.2*q*cos(gamt)/beta;
at2=-32.2+32.2*q*sin(gamt)/beta;
flag=1;
end;
flag=0;
rt1=.5*(rt1old+rt1+h*vt1);
rt2=.5*(rt2old+rt2+h*vt2);
vt1=.5*(vt1old+vt1+h*at1);
vt2=.5*(vt2old+vt2+h*at2);
end
rt1f=rt1;
rt2f=rt2;
tfdes=t;
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