How to respresent and plot data while on loop in Matlab?
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What I'm trying to to is to simulate the position of two satellites and to determine if they will collide. For that I'm using a Rk4 method. As you can see, in the loop I have the drawnow command that adds a point on a 3d graph, after avery iteration. What I'm interested in is to find a way to represent the 3d plot until the condition of collision meets (where I have the message) and also to get the values on the .txt file, while in the loop not outside. When I use the return command, and try to plot or to add text, I have an error "vectors must be the same length" and doesn't let me obtain the data. That happens because lets say sat1=1X200 while tspan=1X201. Is there any other command that I could use instead of return or a better solution?
Here is my code:
figure(1);
orbitsat1=animatedline('Color','r');
orbitsat2=animatedline('Color','g');
msat1=124;
msat2=234;
Asat1=2.2;
Asat2=3.2;
sat10(1,1)= 453322.3616 ;
sat10(2,1)= -2346021.219 ;
sat10(3,1)= -7894131.349 ;
sat10(4,1)= 2142.38067;
sat10(5,1)= 7487.44895 ;
sat10(6,1)= -9864.00872;
sat20(1,1)= 543322.3616 ;
sat20(2,1)= -3246021.219 ;
sat20(3,1)= -8794131.349 ;
sat20(4,1)= 1242.38067;
sat20(5,1)= 4787.44895 ;
sat20(6,1)= -8964.00872;
tspan = 0:200;
secpday = 60*60*24;
a1 = 2018;
la1 = 1;
z1 = 2;
o1 = 12;
m1 = 0;
s1 = 0;
n1 = datenum(a1,la1,z1,o1,m1,s1);
n1 = n1 + tspan/secpday;
[an,luna,zi,ora,min,sec] = datevec(n1);
h=1;
sat1 = zeros(6, tspan(end)/h);
sat1(:,1) = sat10;
sat2 = zeros(6, tspan(end)/h);
sat2(:,1) = sat20;
for i=1:(tspan(end)/h)
k_1 = simsat1(tspan(i), sat1(:,i), msat1, Asat1, sat1(4:6, i));
k_2 = simsat1(tspan(i)+0.5*h, sat1(:,i)+0.5*h*k_1,msat1, Asat1, sat1(4:6, i));
k_3 = simsat1((tspan(i)+0.5*h), (sat1(:,i)+0.5*h*k_2), msat1, Asat1, sat1(4:6, i)); k_4 = simsat1((tspan(i)+h),(sat1(:,i)+k_3*h), msat1, Asat1, sat1(4:6, i));
k_12 = simsat2(tspan(i), sat2(:,i), msat2, Asat2, sat2(4:6, i));
k_22 = simsat2(tspan(i)+0.5*h, sat2(:,i)+0.5*h*k_12, msat2, Asat2, sat2(4:6, i));
k_32 = simsat2((tspan(i)+0.5*h), (sat2(:,i)+0.5*h*k_22), msat2, Asat2, sat2(4:6, i));
k_42 = simsat2((tspan(i)+h),(sat2(:,i)+k_32*h), msat2, Asat2, sat2(4:6, i));
sat2(:,i+1) = double(sat2(:,i) + (1/6)*(k_12+2*k_22+2*k_32+k_42)*h);
sat1(:,i+1) = double(sat1(:,i) + (1/6)*(k_1+2*k_2+2*k_3+k_4)*h);
addpoints(orbitsat1,sat1(1,i),sat1(2,i),sat1(3,i));
drawnow update
hold off
Rorb = ((sat1(1,i).^2 + sat1(2,i).^2 + sat1(3,i).^2).^0.5);
Rcsc = ((sat2(1,i).^2 + sat2(2,i).^2 + sat2(3,i).^2).^0.5);
dif=Rorb-Rcsc;
if (dif >0.5*10^10 && dif < 2*10^5) && i>350
Message = sprintf('Data:\nan:%d\nluna:%d\nzi:%d\nora:%d\nminut:%d\nsecunda:%d',an(i),luna(i),zi(i),ora(i),min(i),sec(i));
msgbox(Message)
msgbox('Coliziune!','Coliziune','warn',Message);
return
end
end
Pozx=sat1(1,:);
Pozy=sat1(2,:);
Pozz=sat1(3,:);
Tbody=[an; luna; zi ;ora; min; sec; Pozx; Pozy; Pozz];
twobody = fopen('nobody.txt','w');
fprintf(twobody,'Rezultate Twobody (metri) \n\n');
fprintf(twobody,' An luna zi ora min sec pozitia pe x pozitia pe y pozitia pe z viteza pe x viteza pe y viteza pe z\n\n');
fprintf(twobody,'---------------------------------------------------------------------------------------------------------------------------------------------\n%6d-%3d-%3d\t%3d:%3d:%3d\t\t\t\t%12.6f\t%12.6f\t\t%12.6f\t\t%12.6f\t%\n',Tbody);
fclose(twobody);
where simsat1
function sat1prim=simsat1(t,sat1,msat1,Asat1,vit)
miu=398600.4418*10^9;
magn=(sat1(1)^2+sat1(2)^2+sat1(3)^2)^(3/2);
sat1prim=zeros(6,1);
sat1prim(1,1)=sat1(4);
sat1prim(2,1)=sat1(5);
sat1prim(3,1)=sat1(6);
sat1prim(4,1)=double(-miu*sat1(1)/magn);
sat1prim(5,1)=double(-miu*sat1(2)/magn);
sat1prim(6,1)=double(-miu*sat1(3)/magn);
end
and simsat2
function sat2prim=simsat2(t,sat2,msat2,Asat2,vit)
miu=398600.4418*10^9;
magn=(sat2(1)^2+sat2(2)^2+sat2(3)^2)^(3/2);
sat2prim=zeros(6,1);
sat2prim(1,1)=sat2(4);
sat2prim(2,1)=sat2(5);
sat2prim(3,1)=sat2(6);
sat2prim(4,1)=double(-miu*sat2(1)/magn);
sat2prim(5,1)=double(-miu*sat2(2)/magn);
sat2prim(6,1)=double(-miu*sat2(3)/magn);
end
6 Comments
James Tursa
on 13 Aug 2018
Edited: James Tursa
on 13 Aug 2018
I don't understand your collision criteria. In the first place, you are comparing the radius values:
Rorb = ((sat1(1,i).^2 + sat1(2,i).^2 + sat1(3,i).^2).^0.5);
Rcsc = ((sat2(1,i).^2 + sat2(2,i).^2 + sat2(3,i).^2).^0.5);
dif=Rorb-Rcsc;
You could have a very small dif value but the satellites could be on opposite sides of the Earth. I would have expected something like this instead:
dif = norm(sat1(1:3,i) - sat2(1:3,i));
And, secondly, how can the following condition ever be satisfied? How can diff be larger than 0.5*10^10 and at the same time be smaller than 2*10^5? This can't happen since the first number is larger than the second number.
if (dif >0.5*10^10 && dif < 2*10^5) && i>350
Alexandru Lapusneanu
on 13 Aug 2018
Edited: Alexandru Lapusneanu
on 13 Aug 2018
James Tursa
on 13 Aug 2018
Edited: James Tursa
on 13 Aug 2018
OK, we'll set that aside for now. What does the code for addpoints look like? What is it supposed to do? Why can't you just replot the corrent set of points instead of "adding" points to the current plot?
Alexandru Lapusneanu
on 13 Aug 2018
Edited: Alexandru Lapusneanu
on 13 Aug 2018
James Tursa
on 13 Aug 2018
So, is this all supposed to be inside a function, and you want to return the satellite positions up to the point of the collision to the caller? But you are having some type of problem doing that?
Alexandru Lapusneanu
on 13 Aug 2018
Answers (0)
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