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54 lines
1.1 KiB
Matlab
54 lines
1.1 KiB
Matlab
clear all
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%mu=0.012151; %Earth-Moon
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mu=0.012277471 %Earth-Moon
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[xl1,yl1,xl2,yl2,xl3,yl3,xl4,yl4,xl5,yl5] = Lagr(mu);
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C=3.17;
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%C=2*Potential(xl1,yl1,mu);
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x_0=1;
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y_0=0;
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vx_0=0;
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vy_0=sqrt(-C-vx_0^2+2*Potential(x_0,y_0,mu));
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%vy_0=0;
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T=2;
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C_star=2*Potential(x_0,y_0,mu)-(vx_0^2+vy_0^2)
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%C=-(vx_0^2+vy_0^2)+2*Omega(x_0,y_0,mu);
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E=-C/2;
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options=odeset('AbsTol',1e-22,'RelTol',1e-13);
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%Integrate first orbit
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[t0,Y0]=ode113(@f,[0 T],[x_0; y_0; vx_0; vy_0],options,mu);
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x0=Y0(:,1);
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y0=Y0(:,2);
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vx0=Y0(:,3);
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vy0=Y0(:,4);
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l0=length(Y0);
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% Precisionfirst orbit
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delta_E0=abs(Energy(x0,y0,vx0,vy0,mu)-E);
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% figure
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% plot(delta_E0)
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%Hill's region
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points=500;
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bb=3; % Bounding box
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x=linspace(-bb,bb,points);
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y=linspace(-bb,bb,points);
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[x,y]=meshgrid(x,y);
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z=(Potential(x,y,mu));
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% figure
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% surfc(x,y,z,'Edgecolor','none')
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%Plot orbit
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%figure
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hold on
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contour(x,y,z,[C/2,C/2])
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plot(x0,y0)
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text(-2,-2,sprintf('C=%.2f',C))
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%plotto actractors
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plot(-mu,0,'ok')
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plot(1-mu,0,'ok')
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% Plot points
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plot(x0(1),y0(1),'sg')
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plot(x0(l0),y0(l0),'sr') |