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State space representation coming out incorrect

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Stephen Mixon
Stephen Mixon on 4 Oct 2020
Closed: MATLAB Answer Bot on 20 Aug 2021
Struggling on a homework problem. The question is
My code is: q= 1 *10^-9;
m= 1 *10^-6;
g=[0;0;-1.6];
E=[1.23,0,10];
B=[0;0;36.13 * 10^-6];
v=3.2;
x_0=[0;0;0;v*cosd(45);0;v*sind(45);0];
A=[0,0,0,1,0,0,0;0,0,0,0,1,0,0;0,0,0,0,0,1,0;0,0,0,0,(q/m) * B(3),(-q/m) *B(2),0;0,0,0,(-q/m)*B(3),0,(q/m)*B(1),0;0,0,0,(q/m)*B(2),(-q/m)*B(1),0,0;0,0,0,0,0,0,0];
B=[0;0;0;(q/m)*E(1);(q/m)*E(2);(q/m)*E(3);1];
x_dot=(A*x_0)+B
My answers are coming out incorrect. Where is the error?
  1 Comment
Alan Stevens
Alan Stevens on 5 Oct 2020
Edited: Alan Stevens on 5 Oct 2020
First, make sure your units are consistent. v is given in km/s. g is in m/s^2 (though you don't seem to have used g!).

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