📄 predictb.m
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function [xtf,ytf]=predictb(tf,xdum,ydum,x1dum,y1dum,wp1,wtot,tb1,trst1,tb2,wp2,wtot2,trst2,wpay)
%h=.01
%Integration interval increased by factor of 10 to get acceptable running time
h=.1;
a=2.0926e7;
gm=1.4077e16;
t=0.;
x=xdum;
y=ydum;
x1=x1dum;
y1=y1dum;
while t<=(tf-.00001)
xold=x;
yold=y;
x1old=x1;
y1old=y1;
step=1;
flag=0;
while step <=1
if flag==1
x=x+h*xd;
y=y+h*yd;
x1=x1+h*x1d;
y1=y1+h*y1d;
t=t+h;
step=2;
end
if t<tb1
wgt=-wp1*t/tb1+wtot;
trst=trst1;
elseif t<(tb1+tb2)
wgt=-wp2*t/tb2+wtot2+wp2*tb1/tb2;
trst=trst2;
else
wgt=wpay;
trst=0.;
end
at=32.2*trst/wgt;
vel=sqrt(x1^2+y1^2);
axt=at*x1/vel;
ayt=at*y1/vel;
tembott=(x^2+y^2)^1.5;
x1d=-gm*x/tembott+axt;
y1d=-gm*y/tembott+ayt;
xd=x1;
yd=y1;
flag=1;
end;
flag=0;
x=(xold+x)/2+.5*h*xd;
y=(yold+y)/2+.5*h*yd;
x1=(x1old+x1)/2+.5*h*x1d;
y1=(y1old+y1)/2+.5*h*y1d;
end
xtf=x;
ytf=y;
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