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function dy = flight_vacuum(y, t)
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G = 6.672e-11;
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M = 5.98e24;
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W = 7.27e-5;
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dy(1) = y(4);
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dy(2) = y(5);
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dy(3) = y(6);
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dy(4) = -(G*M)/(y(1)^2) + y(1)*(y(5)^2) + ((W + y(6))^2)*y(1)*(cos(y(2))^2);
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dy(5) = (-1/y(1))*( y(1)*cos(y(2))*sin(y(2))*(W+y(6))^2 + 2*y(4)*y(5));
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dy(6) = (-1/(y(1)*cos(y(2))))*(2*(W*(y(4)-y(1)*y(5))+y(4)*y(6))*cos(y(2)) -
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2*y(1)*y(6)*y(5)*sin(y(2)));
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endfunction
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